{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Chapter 10 - Unsupervised Learning "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- [Lab 1: Principal Component Analysis](#Lab-1:-Principal-Component-Analysis)\n",
    "- [Lab 2: K-Means Clustering](#Lab-2:-Clustering)\n",
    "- [Lab 2: Hierarchical Clustering](#10.5.3-Hierarchical-Clustering)\n",
    "- [Lab 3: NCI60 Data Example](#Lab-3:-NCI60-Data-Example)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# %load ../standard_import.txt\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "from sklearn.preprocessing import scale\n",
    "from sklearn.decomposition import PCA\n",
    "from sklearn.cluster import KMeans\n",
    "\n",
    "from scipy.cluster import hierarchy\n",
    "\n",
    "%matplotlib inline\n",
    "plt.style.use('seaborn-white')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Lab 1: Principal Component Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "Index: 50 entries, Alabama to Wyoming\n",
      "Data columns (total 4 columns):\n",
      "Murder      50 non-null float64\n",
      "Assault     50 non-null int64\n",
      "UrbanPop    50 non-null int64\n",
      "Rape        50 non-null float64\n",
      "dtypes: float64(2), int64(2)\n",
      "memory usage: 2.0+ KB\n"
     ]
    }
   ],
   "source": [
    "# In R, I exported the dataset to a csv file. It is part of the base R distribution.\n",
    "df = pd.read_csv('Data/USArrests.csv', index_col=0)\n",
    "df.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Murder        7.788\n",
       "Assault     170.760\n",
       "UrbanPop     65.540\n",
       "Rape         21.232\n",
       "dtype: float64"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Murder        18.970465\n",
       "Assault     6945.165714\n",
       "UrbanPop     209.518776\n",
       "Rape          87.729159\n",
       "dtype: float64"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.var()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = pd.DataFrame(scale(df), index=df.index, columns=df.columns)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "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>V1</th>\n",
       "      <th>V2</th>\n",
       "      <th>V3</th>\n",
       "      <th>V4</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Murder</th>\n",
       "      <td>0.535899</td>\n",
       "      <td>0.418181</td>\n",
       "      <td>-0.341233</td>\n",
       "      <td>0.649228</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Assault</th>\n",
       "      <td>0.583184</td>\n",
       "      <td>0.187986</td>\n",
       "      <td>-0.268148</td>\n",
       "      <td>-0.743407</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>UrbanPop</th>\n",
       "      <td>0.278191</td>\n",
       "      <td>-0.872806</td>\n",
       "      <td>-0.378016</td>\n",
       "      <td>0.133878</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Rape</th>\n",
       "      <td>0.543432</td>\n",
       "      <td>-0.167319</td>\n",
       "      <td>0.817778</td>\n",
       "      <td>0.089024</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                V1        V2        V3        V4\n",
       "Murder    0.535899  0.418181 -0.341233  0.649228\n",
       "Assault   0.583184  0.187986 -0.268148 -0.743407\n",
       "UrbanPop  0.278191 -0.872806 -0.378016  0.133878\n",
       "Rape      0.543432 -0.167319  0.817778  0.089024"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# The loading vectors\n",
    "pca_loadings = pd.DataFrame(PCA().fit(X).components_.T, index=df.columns, columns=['V1', 'V2', 'V3', 'V4'])\n",
    "pca_loadings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "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>Alabama</th>\n",
       "      <td>0.985566</td>\n",
       "      <td>1.133392</td>\n",
       "      <td>-0.444269</td>\n",
       "      <td>0.156267</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Alaska</th>\n",
       "      <td>1.950138</td>\n",
       "      <td>1.073213</td>\n",
       "      <td>2.040003</td>\n",
       "      <td>-0.438583</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Arizona</th>\n",
       "      <td>1.763164</td>\n",
       "      <td>-0.745957</td>\n",
       "      <td>0.054781</td>\n",
       "      <td>-0.834653</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Arkansas</th>\n",
       "      <td>-0.141420</td>\n",
       "      <td>1.119797</td>\n",
       "      <td>0.114574</td>\n",
       "      <td>-0.182811</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>California</th>\n",
       "      <td>2.523980</td>\n",
       "      <td>-1.542934</td>\n",
       "      <td>0.598557</td>\n",
       "      <td>-0.341996</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Colorado</th>\n",
       "      <td>1.514563</td>\n",
       "      <td>-0.987555</td>\n",
       "      <td>1.095007</td>\n",
       "      <td>0.001465</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Connecticut</th>\n",
       "      <td>-1.358647</td>\n",
       "      <td>-1.088928</td>\n",
       "      <td>-0.643258</td>\n",
       "      <td>-0.118469</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Delaware</th>\n",
       "      <td>0.047709</td>\n",
       "      <td>-0.325359</td>\n",
       "      <td>-0.718633</td>\n",
       "      <td>-0.881978</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Florida</th>\n",
       "      <td>3.013042</td>\n",
       "      <td>0.039229</td>\n",
       "      <td>-0.576829</td>\n",
       "      <td>-0.096285</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Georgia</th>\n",
       "      <td>1.639283</td>\n",
       "      <td>1.278942</td>\n",
       "      <td>-0.342460</td>\n",
       "      <td>1.076797</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Hawaii</th>\n",
       "      <td>-0.912657</td>\n",
       "      <td>-1.570460</td>\n",
       "      <td>0.050782</td>\n",
       "      <td>0.902807</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Idaho</th>\n",
       "      <td>-1.639800</td>\n",
       "      <td>0.210973</td>\n",
       "      <td>0.259801</td>\n",
       "      <td>-0.499104</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Illinois</th>\n",
       "      <td>1.378911</td>\n",
       "      <td>-0.681841</td>\n",
       "      <td>-0.677496</td>\n",
       "      <td>-0.122021</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Indiana</th>\n",
       "      <td>-0.505461</td>\n",
       "      <td>-0.151563</td>\n",
       "      <td>0.228055</td>\n",
       "      <td>0.424666</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Iowa</th>\n",
       "      <td>-2.253646</td>\n",
       "      <td>-0.104054</td>\n",
       "      <td>0.164564</td>\n",
       "      <td>0.017556</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Kansas</th>\n",
       "      <td>-0.796881</td>\n",
       "      <td>-0.270165</td>\n",
       "      <td>0.025553</td>\n",
       "      <td>0.206496</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Kentucky</th>\n",
       "      <td>-0.750859</td>\n",
       "      <td>0.958440</td>\n",
       "      <td>-0.028369</td>\n",
       "      <td>0.670557</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Louisiana</th>\n",
       "      <td>1.564818</td>\n",
       "      <td>0.871055</td>\n",
       "      <td>-0.783480</td>\n",
       "      <td>0.454728</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Maine</th>\n",
       "      <td>-2.396829</td>\n",
       "      <td>0.376392</td>\n",
       "      <td>-0.065682</td>\n",
       "      <td>-0.330460</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Maryland</th>\n",
       "      <td>1.763369</td>\n",
       "      <td>0.427655</td>\n",
       "      <td>-0.157250</td>\n",
       "      <td>-0.559070</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Massachusetts</th>\n",
       "      <td>-0.486166</td>\n",
       "      <td>-1.474496</td>\n",
       "      <td>-0.609497</td>\n",
       "      <td>-0.179599</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Michigan</th>\n",
       "      <td>2.108441</td>\n",
       "      <td>-0.155397</td>\n",
       "      <td>0.384869</td>\n",
       "      <td>0.102372</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Minnesota</th>\n",
       "      <td>-1.692682</td>\n",
       "      <td>-0.632261</td>\n",
       "      <td>0.153070</td>\n",
       "      <td>0.067317</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Mississippi</th>\n",
       "      <td>0.996494</td>\n",
       "      <td>2.393796</td>\n",
       "      <td>-0.740808</td>\n",
       "      <td>0.215508</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Missouri</th>\n",
       "      <td>0.696787</td>\n",
       "      <td>-0.263355</td>\n",
       "      <td>0.377444</td>\n",
       "      <td>0.225824</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Montana</th>\n",
       "      <td>-1.185452</td>\n",
       "      <td>0.536874</td>\n",
       "      <td>0.246889</td>\n",
       "      <td>0.123742</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Nebraska</th>\n",
       "      <td>-1.265637</td>\n",
       "      <td>-0.193954</td>\n",
       "      <td>0.175574</td>\n",
       "      <td>0.015893</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Nevada</th>\n",
       "      <td>2.874395</td>\n",
       "      <td>-0.775600</td>\n",
       "      <td>1.163380</td>\n",
       "      <td>0.314515</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>New Hampshire</th>\n",
       "      <td>-2.383915</td>\n",
       "      <td>-0.018082</td>\n",
       "      <td>0.036855</td>\n",
       "      <td>-0.033137</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>New Jersey</th>\n",
       "      <td>0.181566</td>\n",
       "      <td>-1.449506</td>\n",
       "      <td>-0.764454</td>\n",
       "      <td>0.243383</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>New Mexico</th>\n",
       "      <td>1.980024</td>\n",
       "      <td>0.142849</td>\n",
       "      <td>0.183692</td>\n",
       "      <td>-0.339534</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>New York</th>\n",
       "      <td>1.682577</td>\n",
       "      <td>-0.823184</td>\n",
       "      <td>-0.643075</td>\n",
       "      <td>-0.013484</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>North Carolina</th>\n",
       "      <td>1.123379</td>\n",
       "      <td>2.228003</td>\n",
       "      <td>-0.863572</td>\n",
       "      <td>-0.954382</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>North Dakota</th>\n",
       "      <td>-2.992226</td>\n",
       "      <td>0.599119</td>\n",
       "      <td>0.301277</td>\n",
       "      <td>-0.253987</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Ohio</th>\n",
       "      <td>-0.225965</td>\n",
       "      <td>-0.742238</td>\n",
       "      <td>-0.031139</td>\n",
       "      <td>0.473916</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Oklahoma</th>\n",
       "      <td>-0.311783</td>\n",
       "      <td>-0.287854</td>\n",
       "      <td>-0.015310</td>\n",
       "      <td>0.010332</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Oregon</th>\n",
       "      <td>0.059122</td>\n",
       "      <td>-0.541411</td>\n",
       "      <td>0.939833</td>\n",
       "      <td>-0.237781</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Pennsylvania</th>\n",
       "      <td>-0.888416</td>\n",
       "      <td>-0.571100</td>\n",
       "      <td>-0.400629</td>\n",
       "      <td>0.359061</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Rhode Island</th>\n",
       "      <td>-0.863772</td>\n",
       "      <td>-1.491978</td>\n",
       "      <td>-1.369946</td>\n",
       "      <td>-0.613569</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>South Carolina</th>\n",
       "      <td>1.320724</td>\n",
       "      <td>1.933405</td>\n",
       "      <td>-0.300538</td>\n",
       "      <td>-0.131467</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>South Dakota</th>\n",
       "      <td>-1.987775</td>\n",
       "      <td>0.823343</td>\n",
       "      <td>0.389293</td>\n",
       "      <td>-0.109572</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Tennessee</th>\n",
       "      <td>0.999742</td>\n",
       "      <td>0.860251</td>\n",
       "      <td>0.188083</td>\n",
       "      <td>0.652864</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Texas</th>\n",
       "      <td>1.355138</td>\n",
       "      <td>-0.412481</td>\n",
       "      <td>-0.492069</td>\n",
       "      <td>0.643195</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Utah</th>\n",
       "      <td>-0.550565</td>\n",
       "      <td>-1.471505</td>\n",
       "      <td>0.293728</td>\n",
       "      <td>-0.082314</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Vermont</th>\n",
       "      <td>-2.801412</td>\n",
       "      <td>1.402288</td>\n",
       "      <td>0.841263</td>\n",
       "      <td>-0.144890</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Virginia</th>\n",
       "      <td>-0.096335</td>\n",
       "      <td>0.199735</td>\n",
       "      <td>0.011713</td>\n",
       "      <td>0.211371</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Washington</th>\n",
       "      <td>-0.216903</td>\n",
       "      <td>-0.970124</td>\n",
       "      <td>0.624871</td>\n",
       "      <td>-0.220848</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>West Virginia</th>\n",
       "      <td>-2.108585</td>\n",
       "      <td>1.424847</td>\n",
       "      <td>0.104775</td>\n",
       "      <td>0.131909</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Wisconsin</th>\n",
       "      <td>-2.079714</td>\n",
       "      <td>-0.611269</td>\n",
       "      <td>-0.138865</td>\n",
       "      <td>0.184104</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Wyoming</th>\n",
       "      <td>-0.629427</td>\n",
       "      <td>0.321013</td>\n",
       "      <td>-0.240659</td>\n",
       "      <td>-0.166652</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                     PC1       PC2       PC3       PC4\n",
       "Alabama         0.985566  1.133392 -0.444269  0.156267\n",
       "Alaska          1.950138  1.073213  2.040003 -0.438583\n",
       "Arizona         1.763164 -0.745957  0.054781 -0.834653\n",
       "Arkansas       -0.141420  1.119797  0.114574 -0.182811\n",
       "California      2.523980 -1.542934  0.598557 -0.341996\n",
       "Colorado        1.514563 -0.987555  1.095007  0.001465\n",
       "Connecticut    -1.358647 -1.088928 -0.643258 -0.118469\n",
       "Delaware        0.047709 -0.325359 -0.718633 -0.881978\n",
       "Florida         3.013042  0.039229 -0.576829 -0.096285\n",
       "Georgia         1.639283  1.278942 -0.342460  1.076797\n",
       "Hawaii         -0.912657 -1.570460  0.050782  0.902807\n",
       "Idaho          -1.639800  0.210973  0.259801 -0.499104\n",
       "Illinois        1.378911 -0.681841 -0.677496 -0.122021\n",
       "Indiana        -0.505461 -0.151563  0.228055  0.424666\n",
       "Iowa           -2.253646 -0.104054  0.164564  0.017556\n",
       "Kansas         -0.796881 -0.270165  0.025553  0.206496\n",
       "Kentucky       -0.750859  0.958440 -0.028369  0.670557\n",
       "Louisiana       1.564818  0.871055 -0.783480  0.454728\n",
       "Maine          -2.396829  0.376392 -0.065682 -0.330460\n",
       "Maryland        1.763369  0.427655 -0.157250 -0.559070\n",
       "Massachusetts  -0.486166 -1.474496 -0.609497 -0.179599\n",
       "Michigan        2.108441 -0.155397  0.384869  0.102372\n",
       "Minnesota      -1.692682 -0.632261  0.153070  0.067317\n",
       "Mississippi     0.996494  2.393796 -0.740808  0.215508\n",
       "Missouri        0.696787 -0.263355  0.377444  0.225824\n",
       "Montana        -1.185452  0.536874  0.246889  0.123742\n",
       "Nebraska       -1.265637 -0.193954  0.175574  0.015893\n",
       "Nevada          2.874395 -0.775600  1.163380  0.314515\n",
       "New Hampshire  -2.383915 -0.018082  0.036855 -0.033137\n",
       "New Jersey      0.181566 -1.449506 -0.764454  0.243383\n",
       "New Mexico      1.980024  0.142849  0.183692 -0.339534\n",
       "New York        1.682577 -0.823184 -0.643075 -0.013484\n",
       "North Carolina  1.123379  2.228003 -0.863572 -0.954382\n",
       "North Dakota   -2.992226  0.599119  0.301277 -0.253987\n",
       "Ohio           -0.225965 -0.742238 -0.031139  0.473916\n",
       "Oklahoma       -0.311783 -0.287854 -0.015310  0.010332\n",
       "Oregon          0.059122 -0.541411  0.939833 -0.237781\n",
       "Pennsylvania   -0.888416 -0.571100 -0.400629  0.359061\n",
       "Rhode Island   -0.863772 -1.491978 -1.369946 -0.613569\n",
       "South Carolina  1.320724  1.933405 -0.300538 -0.131467\n",
       "South Dakota   -1.987775  0.823343  0.389293 -0.109572\n",
       "Tennessee       0.999742  0.860251  0.188083  0.652864\n",
       "Texas           1.355138 -0.412481 -0.492069  0.643195\n",
       "Utah           -0.550565 -1.471505  0.293728 -0.082314\n",
       "Vermont        -2.801412  1.402288  0.841263 -0.144890\n",
       "Virginia       -0.096335  0.199735  0.011713  0.211371\n",
       "Washington     -0.216903 -0.970124  0.624871 -0.220848\n",
       "West Virginia  -2.108585  1.424847  0.104775  0.131909\n",
       "Wisconsin      -2.079714 -0.611269 -0.138865  0.184104\n",
       "Wyoming        -0.629427  0.321013 -0.240659 -0.166652"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Fit the PCA model and transform X to get the principal components\n",
    "pca = PCA()\n",
    "df_plot = pd.DataFrame(pca.fit_transform(X), columns=['PC1', 'PC2', 'PC3', 'PC4'], index=X.index)\n",
    "df_plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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qFStWsGLFCrPDEEJkQNLSI4Rwqrp165odQtrz32/w99dQe/G9bb8PgRwvQXG/e9tWFYXXjoFrZpJssQfkqQlYwBYFOUpDlZngIn8uRNonP8VCCKcqXry42SGIx/HIBY1/u/d8hw/8uw4Kv25aSEIkF0l6hBBOde3aNQC8vb1NjiSd+LkauHhAyd7G871vw61TkDk/VA8wWmuCekLkdYi4DCV7Qal3YVN98K4A1/+CqDCoswyyFbn/3LFREB0Obp7G8bu6GK+1RcPLY6BAQ1hbBvLVgRuHjYSp1iJwy+bsd0GIRJE+PUIIp1q1ahWrVq0yO4x0wgIxd6HJdijma2wq9S403grZisKJb+FmCBTpCA03Qr21cHTKvcNzV4VGm+C5JnBqkbEt8qqREG1qAFtehXz1jeTmrzFQoAk02Qa1l0FQD7DFQsxtKNoZmuwwbrf9/Y2T3wMhEk9aeoQQTlW/fn2zQ0h7XLNAbMT926LCje051L1tLh6Qp7rxOE9NuPALPN8Ojk2D0OXgnsNo+YnjbZ8INuvzcOeC8fjB21txwo4ayQ1A1kLGue5eAos75Kt7r8zz65+5ukKkFGnpEUI4VdGiRSlatKjZYaQtXqXhWjDcOW88j7kLl7YZt5ri/xqPjYRrvxuPL22HnOXgqD/krQE1v4cX2oPNFu/ElsTHkKO0cU6A2+cg8hpkym0kUdf+MLZf3gleZZNaSyFSnLT0CCGc6vLlywDkyZPH5EjSEPccUHEK/NYS3LJCTCS82Beyl4QLm+69ziUT6Olw82+jf06FCXBpB+x7F04tBI/cxiismIhHl/UoZYdCUHc48wPE3IGqs+6N6DoyEW6fgawvGH19hEilJOkRQjjV2rVrAfDz8zM3kLTm+bbGvwflr3/vcSudwP4GxjD2B8W/hVXqnXuP215IuPxMuaDuyoT3VZ/7bMPkhXASSXqEEE7VqFEjs0MQQmRQkvQIIZzq+eefNzsEkZzeOGV2BEIkmnRkFkI41cWLF7l48aLZYQghMiBJeoQQTrVu3TrWrVtndhhCiAxIbm8JIZyqSZMmZocghMigJOkRQjhVoUKFzA5BCJFBye0tIYRTXbhwgQsXHjEsWgghUpAkPUIIp9qwYQMbNmwwOwwhRAYkt7eEEE7VrFkzs0NIlWw2G2FhYXh5eZkdihDplrT0CCGcqkCBAhQoUMDsMFKdUZ9+Ss6cObHdtzaWECI5ObWlRynlCnwLKCAG6Ka1PuHMGIQQ5jp37hwgHZof9OmoUWaHIES65+yWnlYAWutawCfAFCeXL4Qw2S+//MIvv/xidhipyqFDhwAICgrCYnmKlc+FEE/FqS09WuuVSqm19qdFgP+cWb4QwnwtWrQwO4RUp2nTVwGoWrWqyZEIkb45vSOz1jpaKRUAtAHaObt8IYS58uXLZ3YIqUpYWBj//XeBSZMmmR2KEOmeKR2ZtdZdgReBb5VS2cyIQQhhjtDQUEJDQ80OI9UYPHgwAP369TM5EiHSP6cmPUopX6XUx/ant4FYjA7NQogMYvPmzWzevNnsMFIFm83G119/Td169fDw8DA7HCHSPWff3loOfKeU2ga4AwO01nedHIMQwkSvvfaa2SGkGitXrgQgcOFCkyMRImNwdkfmW0AHZ5YphEhd8uTJY3YIqUbbtm0BGb4vhLPI5IRCCKc6deoUp06dMjsM08W9Bz/99JO5gQiRgUjSI4Rwqt9++43ffvvN7DBM1659ewCaN29uciRCZByy9pYQwqneeOMNs0Mw3d27dzmwfz+DBg2SyQiFcCJJeoQQTuXt7W12CKb7/PPPARg9erTJkQiRscjtLSGEU508eZKTJ0+aHYapRo4cSfESJfH09DQ7FCEyFGnpEUI41bZt2wAoXry4yZGYY/v27QD8tHaNyZEIkfFI0iOEcKo2bdqYHYKp6tatC8BLL71kciRCZDyS9AghnMrLy8vsEExz6dIlAObNm2duIEJkUNKnRwjhVCEhIYSEhJgdhil69e4NQJcuXUyORIiMSVp6hBBOtWPHDgBKlixpciTOFR0dzaqVK+ng44Orq6vZ4QiRIUnSI4Rwqnbt2pkdgim+++47AGb8738mRyJExiVJjxDCqTLqMO3evXuTKVMmcufObXYoQmRY0qdHCOFUWmu01maH4VR//fUXAFu2bDE5EiEyNmnpEUI41e7duwFQSpkcifO82sxYX6tGjRomRyKEuZRSLsAMoDwQAfTUWofY91UApsV7eXWgNbAXOA78Zd++Qmv9RVLKl6RHCOFUHTp0MDsEp7p58yb/njvLhAkTzA5FiNSgNZBZa11DKVUdmAy8AaC1/h2oD6CUag/8q7XeoJRqDCzSWvd91sIl6RFCOFXWrFnNDsGpPv74YwAGDBhgciRCpAq1gQ0AWus9SqnKD75AKZUNGA3UtW+qBFRUSm0FLgL9tNbnk1K49OkRQjjV0aNHOXr0qNlhOIXNZuN///sfNWvVIlOmTGaHI0RqkAO4Ee95jFLqwQaYHsAyrfVl+/NjwEitdT1gJTA9qYVLS48QwqmCgoIAKF26tMmRpLzVq1cDsGTxYpMjESLVCAOyx3vuorWOfuA1nYH4c1v8Cty2P14BfJrUwiXpEUI4VceOHc0OwWlat24NQOHChU2ORIhUYyfQClhq79PzZ/ydSikvIJPWOjTe5tnAj8BSoBFwIKmFS9IjhHCqzJkzmx2CU5w5cwaANWtkNXUh4lkBNFFK7QIsQDel1CAgRGu9GngROPXAMUOAuUqpPsAtoGdSC5ekRwjhVHFz1pQrV87kSFJWe/sotZYtW5ociRCph9Y6Fnjngc3H4u3fhzHCK/4x/wANkqN8SXqEEE61f/9+IH0nPREREewNCqJ///5YLBazwxFC2EnSI4Rwqs6dO5sdQorz9/cHYMyYMSZHIoSIT5IeIYRTubu7mx1Cihs+fDgvFCmaYdcZEyK1knl6hBBOdejQIQ4dOmR2GClm586dAKxf95PJkQghHiQtPUIIpzp48CAAL7/8ssmRpIz69esDUKZMGXMDEUI8RJIeIYRT+fr6mh1Cirl8+TLR0dHMmTPH7FCEEAmQpEcI4VSurq5mh5Bi3nn3XQC6du1qciRCiIRInx4hhFP9/vvv/P7772aHkexiYmL48YcfaPvmm+k6sRMiLZOkRwjhVOk16QkICADgm6+/NjkSIcSjyO0tIYRT+fn5mR1CiujRowdubm7kyZPH7FCEEI8gLT1CCPGMjhw5AsBvv/1mbiBCiMeSpEcI4VQHDhzgwIEkL5KcKjVvYayvVatWLZMjEUI8jiQ9QginOnz4MIcPHzY7jGRz8+ZNzpw+xdixY80ORQjxBNKnRwjhVG+99ZbZISSrESNGAPDBBx+YHIkQ4kmkpUcIIZLIZrPxxRdfULVaNTJlymR2OEKIJ5CkRwjhVPv27WPfvn1mh5EsfvrJWF9r2dKlJkcihEgMSXqEEE51/Phxjh8/bnYYyaJVq1YAvPDCCyZHIoRIDOnTI4Rwqs6dO5sdQrI4e/YsACtXrjQ5EiFEYklLjxBCJIFPx44AvP766yZHIoRILEl6hBBOtWfPHvbs2WN2GM8kIiKCXTt38t5772GxWMwORwiRSJL0CCGc6p9//uGff/4xO4xnMm3aNADGjx9vciRCiKchfXqEEE7VqVMns0N4ZkOGDKFgocJkz57d7FCEEE9BWnqEEOIp7N69G4CfN6w3ORIhxNOSpEcI4VS7du1i165dZoeRZA0aNACgXLlyJkcihHhacntLCOFUcUO906IrV64QERHBrFmzzA5FCJEEkvQIIZyqQ4cOZoeQZH3eew+Abt26mRyJECIpnJb0KKXcgblAUSATMEZrvdpZ5QshxLOIiYlh6ZIlvNG6NW5u8n1RiLTImX16ugBXtNZ1gObAV04sWwiRSuzYsYMdO3aYHcZT+/777wH4Vm5tCZFmOfPryjLgh3jPo51YthAilbhw4YLZISSJn58fAHnz5jU3ECFEkjkt6dFahwMopbJjJD/DnVW2ECL1aNeundkhPLVjx44BsG3bNpMjEUI8C6cOWVdKPQ9sARZorQOdWbYQQiRVy9eM1dTr1KljciRCiGfhzI7M+YGNwPta683OKlcIkbps3boVgHr16pkcSeKEh4dz8kQIo0ePNjsUIcQzcmafnqGANzBCKTXCvq251vqOE2MQQpjsypUrZofwVEaOHAnA//3f/5kciRDiWTmzT09/oL+zyhNCpE5t27Y1O4REs9lsTJkyhYqVKpE5c2azwxFCPCNZhkIIIR5hw4YNAPz4ww9PeKUQIi2QpEcI4VRbtmxhy5YtZoeRKC1atACgaNGi5gYihEgWMq2oEMKpwsLCzA4hUc6dOwfA8uXLTY5ECJFcJOkRQjjVG2+8YXYIiWLt3BmA1q1bmxyJECK5yO0tIYR4QGRkJNu2buWdd97BYrGYHY4QIplIS48Qwqk2bdoEQOPGjU2O5NG+/PJLACZOnGhyJEKkL0opF2AGUB6IAHpqrUPi7f8SqAXctG96A3AHAoEswL9AN6317aSULy09QginunPnDnfupO7puT766CPy5y9Ajhw5zA5FiPSmNZBZa10DGAJMfmB/ReBVrXV9+78bwCdAoH3B8mDg7aQWLkmPEMKpWrVqRatWrcwO45H27t0LwMaNP5sciRDpUm1gA4DWeg9QOW6HvRWoFDBLKbVTKdX9wWOA9UCSm4kl6RFCiHgaNGwIwMsvv2xyJEKkSzmAG/Gexyil4rraZAOmA12AZkAfpdTLDxxzE/BKauHSp0cI4VQbN24EoGnTpiZH8rCrV69y+9YtZs6caXYoQqRXYUD2eM9dtNbR9se3gS/i+usopX7F6PsTd8wd+//Xk1q4tPQIIZwqKiqKqKgos8NIUN9+/QDo2bOnyZEIkW7tBFoAKKWqA3/G2/cisEMp5aqUcse4rXUw/jFAc2B7UguXlh4hhFO1bNnS7BASFBsbS+DChbR87TXc3ORXoxApZAXQRCm1C7AA3ZRSg4AQrfVqpdRCYA8QBczXWh9WSo0BApRSvYDLgDWphcsnW4gkCgoKYvHixUydOtWxzd/fn+LFiyfboppjx46lW7du7NmzBy8vLxo1apQs5xUPCwwMBGDunDkmRyJE+qW1jgXeeWDzsXj7Pwc+f+CY/zD6+DwzSXqESMWGDRsGpK2VyZ8kbhHPZs2S5XdYsvH19QUgX758JkcinOXvv/9m0qRJ3Llzh9u3b1OvXj369u2b4ISUQ4YMcazFdv78eXx8fJg6dSrbt29n8ODBVKtWLUkxzJo1i+rVq0vHeSeRPj1CJLOYmBiGDRtGjx49aNu2LdOmTePatWuO5ReCg4OpWrUqMTExXLhwgR49ehAeHk7//v3p3r07bdq0cbQ6+Pr6cuLECaZPn86iRYvMrFa6dvz4cYA0sxCqeHZhYWEMGjSIoUOHsmDBApYuXcrx48dZvHjxY4+rW7cuPj4+AKxbt4758+cnOeEB6N27tyQ8TiQtPUI8gz179jhaCABCQ0Pp168fFSpUoH379kRERFC3bl0GDBhAzpw5OX/+PNu3b6dAgQIcPnyYP//8k8aNG3P69GlatmxJ06ZN+e+///D19cVqTfJt61QttbXwALR6/XUA6tWrZ3Ikwlk2b95MtWrVKFq0KACurq5MnDgRd3d3hg0bxoULF7h27Zrj8xtn+fLlnDx5ksyZM3PhwgXefvtt5syZw7Rp0zhw4AAAr732Gl27dmXIkCFcv36d69ev06NHD5YsWYK7uztnz56lRYsWvPvuu44WpIoVKzJs2DBu3rzJtWvXaN++fbr9HWAmSXqEsAsKCmLAgAGULFkSgFu3blG4cGH8/f0JDg5+qP8OQPXq1R/q0xMeHk5ISAh79uzB09OTsLAwzp49S5MmTdi6dSvBwcH06tWLnTt3EhwczNixY4mNjSUgIIAPP/yQtm3bEh0dzYPiWiE6deqU5DoOHDiQjh07PtM30/Tm1q1bHNeaTz75RNbZykAuXrzI888/f9+2bNmycfbs2QS/tDzo/fffZ/ny5cydO5ddu3Zx9uxZli5dSnR0NFarlerVqwPG7wg/Pz+CgoL4999/Wb16NZGRkdSpU4d3333Xcb7vLjDSAAAgAElEQVSM9MXHTJL0CBHPg0nMBx98wK+//oq3t/dTnSd79ux8+umnnD59msWLFxMcHMxnn31G8eLFKVmyJHXr1qV79+6cPHmSyZMn4+XlRYUKFdi5cyfNmjVj69atjzz34zpQ3759my5dujzy2C1btuDh4ZHsSY/WmrCwMKpUqcK+ffvInj07L730UoKv/emnn4DUM4pr9OjRgNFnQ2QcBQsW5MiRI/dtCw0N5cKFC/z555+OLy2RkZFPPNeJEyeoXLkyFosFd3d3ypcvz4kTJwAoVqyY43Uvvvgibm5uuLm5kTlz5vvOkSdPHgICAti4cSOenp4JfvERz0769AjxCJGRkVy8eBEvL2Pyz9OnT9OzZ0/atm3L9OnTAbhx4wadOnWiS5cujr45rq6uLF++nAoVKtCxY0fc3NwICwujaNGinDlzBq0177//PuHh4Xh4eADQoEED5s+fz/Xr1wkICCAiIoJ27dpx5MgRJk2ahM1mc8QVGxvLoUOH7uszBLBs2TImTZpEjx49aNWqFYcPHwZg4cKFtG7dml69eqXIL9KgoCDatWvnaNr/8ccfmTlzJsuXL0/w9e7u7ri7uz91ObVq1XqmOBNis9mYNGkS5StUIEuWLMl+fpF6NWjQgO3bt3PmzBnAmD9qwoQJHD16lOzZszN58mS6d+/O3bt37/v8JaREiRKOn/+oqCiCg4MpUqQIwH2th49rSZw7dy4VKlTA39+fZs2aPbFMkTTS0iNEPHF9dK5cuYKLiwsdOnSgRo0aBAUFERERwYwZM4iJiaF+/fr07duXiRMnMnbsWEqXLs2mTZtYvXo1VapUoVixYnz//ffcvn2bpk2b4uXlhYuLC3ny5OGHH37g6tWrvPXWW1itVs6fP09ISAj58uUjNDSU2NhYKlasSKVKlfj55585deoUN2/epFy5cty6dYvPPvuMq1evkjdvXkaPHk3Pnj0pUqQIf//9N3fv3uXcuXNYrVbef/99bt26RVhYGAULFsTf35833niDLVu2UKVKFSIjIxk6dCg+Pj7UqlWLnTt3AvdugeXLl4+PP/4YNzc3XF1d+fzzz8mfPz+TJ09m37592Gw2/Pz8sFgsREdHM3PmTKpXr8727duJiYmhfPnyDBkyhDNnzhAREUGPHj1o0aJFqpqJOW526BWPSNBE+uXp6cmECRMYPnw4NpuNW7du0aBBA2rUqMGgQYM4cOAAWbJkoUiRIly8ePGx52rQoAF79+7Fx8eHqKgomjVrRtmyZZ8qngYNGjBq1CjWrFlDzpw5cXV1JTIy0vHFSCQPSXqEiCfu9ta1a9fo3r07hQsXduwrVaqU4xdQ3OR1Fy9epHTp0gBUqVKFyZMnExISQrly5XBxccHT05MXX3wRgJs3b2KxWOjQoQN58uQhLCyMV155hXPnznH9+nXmzZtHnTp1iI6O5s033yQgIIBz585Rr149GjZsyLZt2zh37hyenp7kypULT09PZs6cSWRkJJkyZeKll14iJCQEi8VCeHg4MTExtG/fHq01x48f58iRI3h4eFCgQAFWr17N4MGD+e677xwjUR60a9cuypYty5AhQ9i/fz83btzg2LFjnD17lsWLFxMREUGHDh0YMGAAJUqUwN3dnb/++os6depw584dMmfOTFBQEB07dmTjxo1MmzaNy5cv06pVK/z8/Fi1ahXBwcG8/fbb7N69m0uXLjFs2DDmPGGeHK01Y8aMASBnzpyMGzeOI0eO4O/vj7u7Ox06dOCff/5hz549xMbG0rJlS/z8/BI8Lq5TdbFixbhx4wbdunV7ZAuVSH/KlSvH/PnzH9q+Zs2ah7ZNmDDhoW2//vqr4/HgwYMfe0y1atXuu60c9yUj/mvipnMQKUdubwmRAG9vbyZNmsTw4cMd3/ISaprOly8fx44Z82rt27ePokWLUqxYMQ4dOkRsbCy3b98mJCQEMDpJ9ujRg0KFCtG1a1fHMFUXFxfc3d0ZNGgQN2/e5MKFC/zyyy9MmjQJHx8ftm7dyldffYXFYnEkXpcvX8bFxYVWrVpx9+5dwsLCOHXqlGO+kaxZs3Ljxg2OHDnC77//jqurKy1btiQqKsrR16ZQoUJEREQ8VKe4ZvV27drh7e1Nz549WbhwIa6urhw/fpzDhw/j6+tLz549iY6O5vLly4AxYmXevHmEh4cDkDlzZnr27MmcOXPIli0bvXr1YtOmTSxfvpzo6OiHRrJt3ryZxo2fvHjyiBEjGDlyJAsWLKBu3brMnj0bgIiICAIDA2ndujUrV67E39+fhQsXOvpOPHjc5MmTARwdTteuXZuqV38XQjw7aekR4hFKliyJr68vY8aMoXPnzgm+ZsyYMXz22WfYbDZcXV0ZN24czz//PM2aNaNdu3bky5eP3LlzO863d+9efv/9d/744w8GDRoEQHh4OJs2bWLZsmXUrFmT2NhYihcvTufOnfHy8qJcuXLUr1+fwMBA3NzcqFmzJsHBwZw5c4ZPPvmEPHnyEBoaSs2aNdm9ezd3795l27ZteHp60qJFCypUqMA333xDkyZNsFgsCSZv0dHR3Lp1C3d3d0eStnnzZipVqsT777/P2rVrmT17No0bN6ZatWp89tlnxMbGMmPGDPLmzQsYSc7QoUMZNmwYlStXJiwsjIMHD5IlSxZiYmIYNWoUxYsX5+bNm7zyyiuPHMkW3/Xr18mZMydwL+k8ceKEo/NxVFSUo6No/A6jU6ZMYcqUKVy+fJk6deokeNyePUGA0bk0JCSENWvWMGPGjKf6GRFCpC2S9Ahh92DzM3DfkNKEmqbLlCnDwoULHzqXn58ffn5+judBQUF4eHgwdepUFixYwKpVq7BarWzbtg1XV1eyZMlC27ZteeGFF/Dw8KBQoUIEBATw0UcfcePGDdasWcO4ceMoWLAgAwcOpHDhwly4cIFChQrh7u6Om5sbFy9edCQG9evXJzQ0lEmTJmGxWHBzc+Pbb7+lZ8+eFCpU6KF433rrLXx8fChcuDAFCxYEjKb/jz76iOnTp+Pi4sLHH39MmTJl2Lt3L1arldu3b9O4cWOyZMmCl5cXCxcu5JNPPqFIkSJs3ryZsmXLYrPZuHnzJrGxsfTv3x8PDw+aNm2Ki4sLH374Id7e3o6RbNmzZ3ckUHFatWrFL7/8wo0bN8iVKxdgJDcTJ06kYMGCHDhwgEuXLgFGixkYHdA3bNjAlClTsNlstGzZkpYtW9533J49e6hRowY9e/akTZs2zJw5k/z58zvKEEKkT5bU0kNcKdUOWDZt2jSaN29udjhCiER6cAh9eHg4rVq1om/fvrRt25bZs2ezadMmIiMjefnllxkxYgSurq60b9+e1q1b07lzZ3x8fGjevPl9iSIY62H98MMPeHh40K9fP2rWrMlff/3FxIkTiYmJAYz1yS5evHhfDF999RUbN27Ey8sLpRTDhg3j8OHDjuOOHTtGcHAw169fJ0uWLNStW5dJkyY5WoWEEM9u/fr1cXMctdda/2B2PCBJjxDCyVatWgXgWJbDDBaLhdy583D58iXu3LlDly5dWLZsmaO1SAjx7FJj0iOfcCGEU+XIkYMcOXKYVv7+/fsB2LTpFw4ePEiHDh3o06ePJDxCZADSp0cI4VQNGjQwtfxG9hFiFSpUABIeniyESJ/kq40QIsO4du0aYTdu8NVXX5kdihDCBJL0CCGcavny5aZNANjfvnBk7969TSlfCGEuub0lhHCquHmLnC02NpYF8+fTrHnzJK39JYRI+yTpEUI4Vb169Uwpd8mSJQDM++47U8oXQphPbm8JITIEq9UKQP78+U2ORAhhFkl6hBBO9cMPP/DDD86dsiP+0hpCiIxLbm8JIZyqQIECTi/zdftEiGYPlxdCmEuSHiGEU9WuXdup5d2+fZujR44wbNiwBBdbFUJkHHJ7SwiRro0ZMwaAYcOGmRyJEMJskvQIIZxq6dKlLF261Cll2Ww2xo8fT9ly5ciSJYtTyhRCpF6S9IhU5e+//6Z37974+vry5ptv8uWXX+LsRXH37dvHsWPHAHj//fef+vglS5YQFRWV3GGlG4ULF6Zw4cJOKSuu4/KqlSudUp4QInWTpEekGmFhYQwaNIihQ4eyYMECli5dyvHjx1m8eLFT4/jxxx+5ePEiQJKWK/jmm2+IjY1N7rDSjZo1a1KzZk2nlNWkSRMASpQo4ZTyhBCp2xM7Miulhmutx8R7Pl5r/XHKhiUyos2bN1OtWjWKFi0KgKurKxMnTsTd3Z0JEyZw4MABAF577TW6du3KkCFD8PDw4Ny5c1y8eJEJEyZQtmxZmjZtSsWKFfnnn3/InTs306dPJzY2lpEjR3L69GliY2MZMGAA1apVY8uWLY7EpkyZMvj4+LB9+3YOHz5MyZIlad++PTt37uSPP/5g7Nix2Gw28ufPj7+/P7169WLUqFGUKFGCRYsWcfnyZQoUKMClS5cYOHAgM2bMMOutFMCFCxcAWLRokcmRCCFSi0cmPUqpHkBPoLRSqoV9syvgDkjSI5LdxYsXef755+/bli1bNrZs2cLZs2dZunQp0dHRWK1WqlevDkDBggX59NNPWbp0KUuWLOHTTz8lNDSUgIAAnnvuOTp27Miff/7JkSNH8Pb2Zty4cVy7do0uXbqwatUqPvvsM5YtW0bu3Ln56quvyJUrF3Xq1KFFixYULFjQEceIESOYOnUqJUqUYOHChZw4cSLBOrRv356ZM2cyderUlHuj0ri4JKRTp04pWk5XPz8AOnTokKLlCCHSjse19HwPbAaGAmPt22KBiykdlMiYChYsyJEjR+7bFhoayuHDh6lcuTIWiwV3d3fKly/vSDpKly4NGHO/HDx4EABvb2+ee+45AJ577jkiIiI4fvw4Bw4c4NChQwBER0dz5coVcuTI4VgL6nH9d65cueK4RdK5c+eH9ju731FaVqxYsRQvIyoqio0//0xXPz9cXOQuvhDC8MjfBlrrCK31KeAdID9QBCgGVHNOaCKjadCgAdu3b+fMmTOA8YdrwoQJ5MiRw3FrKyoqiuDgYIoUKQKQ4LwrCW0rXrw4LVu2ZMGCBXz77bc0a9aMvHnzEhYWxvXr1wFjaPOhQ4ewWCwPJTH58uXj1KlTAMyaNYtffvkFDw8PLl26BHBfsmaxWKRPz2NUr17d0VKXUr7++msApmXwFrenGRgwZMgQtm3blmxlL1q0iOnTpyfb+YRIDon5CvQDMAV41/7vnRSNSGRYnp6eTJgwgeHDh+Pr64uPjw8vvfQSvr6+FC5cGB8fH3x8fHj11VcpW7bsU527Y8eOnDx5ki5dutCxY0cKFSqEi4sLI0eO5O2336ZTp07YbDb+3//7f5QvXx5/f//7bmGNHj2aoUOH0qVLF44ePUq9evV46623+PTTT+nRowcxMTGO11auXJnevXub0vrz1ltvOVqzIiMjqVSpEnPmzHHs79Kli2Nk2pOcPXs2wVtDs2bNcpTxNJw5qq1fv37k9PYmZ86cTikvNUotAwOESE0sT/rFrJTapbVO8aEWSql2wLJp06bRvHnzlC5OiHRp1qxZuLm50b17d3bv3s3ixYu5evUqCxYsICIighYtWiR6/amzZ88yaNCgZJtTp2HDhqxfv96x7lZCtwmTw8GDB6lUqRIHDhygYsWKKVJGWrBixQoOHz7M8OHDHdtu3bqFu7s7U6ZMSXBgQIsWLahRowZDhw4lNDSUmJgYunXrRosWLfD19cXb25uwsDCmT5/O8OHDuXnzJteuXaN9+/ZYrVb279/PuHHj8PLywsXFhQoVKtC3b1/mzp3LTz/9hJubG5UrV+ajjz4y620RTrR+/XoGDBgA0F5r7dwF9x4hMctQHFNKFdRa/5scBSqlqgETtdb1k+N8Qoh7atasyYwZM+jevTtbt26lffv2+Pv7c/PmTQ4fPkzVqlXZsGEDCxcudBzzxRdfADBgwABsNhtRUVGMHj2abNmycfXqVfr06cOlS5dQSjFmzBjHH8fLly+zdetW7t69y5kzZ+jVqxdt27bl0KFDjuNz585NpkyZqFSpkmNUW7du3Vi4cCEr7XPnPGk03tNq3NgYpp6REx5I2sAAMFrkvL29mTRpEuHh4bRt29axv1WrVjRp0oTDhw/TsmVLmjZtyn///Yevry9Wq5Xx48czefJkihUrxsiRIwHQWrN+/XoWL16Mm5sbffv2ZcuWLbIOmjBFYm5v1QbOKKUuKKXOK6WSnPwopf4PmA1kTuo5hBCPVqZMGU6ePInNZmPfvn1UrVqVGjVqsGvXLvbu3UudOnU4deoUs2bNYsGCBRQrVowdO3Zw6NAhsmfPzrfffsvw4cMJDw8HIDw8nPHjx7NkyRJ2797NlStX7isvPDycb775hpkzZzJr1iwARo4cyYQJE5g/fz4vvPACYIxqy5s3L1OnTiU8PJzo6GiWLl1KYGAga9euRWsNGJ3Z58yZg6+vL0uWLHnq+l+/fp1r164ybdq0Z3kb04WCBQs6hu3HedLAAIATJ05QpUoVwLjlXKJECUJDQ4F7ndDz5MnDpk2b+PDDD5k5cybR0dEA/Pfff47XxCWdJ0+epHz58ri7u2OxWKhcuTJ///13ylZeiEd4YtKjtX5Ra+2mtS6gtX5Oa13wScc8xgmg7TMcL4R4DBcXF1566SW2bdtG3rx58fDwoG7duhw8eJADBw5Qs2ZNcufOzeDBg/n444/RWhMdHU3dunWpUqUKffr04csvv3SMeHr++ecdtypy587NnTt37ivvpZdeAoxRcpGRkYDRwlCqVCkAKlWq9FCMJ06cSNRovLjzPY1BH3wAQJ8+fZ762PQmKQMDwJjIcf/+/YCR1B4/ftwxg3bcIIG5c+dSoUIF/P39adasmaP/Wt68eR3X8s8//wSMQQSHDh0iOjrakYw7YwSfEAlJzOSEZYGvgZzAQuAvrfXapBSmtf5RKVU0KccKIRKnVq1afPPNN7Rs2RIwEo8ZM2bg4uKCq6srX375Jb/99hsA3bp1w2azERQURL58+Zg7dy7BwcFMmTKF8ePHP3FV8oT2FyhQgJCQEEqWLMkff/xx32tjY2M5ffo0f/zxB35+fo4/um3atHnk+RIrNjaW7+bOpXGTJri7uyf5POlF/IEBNpuNW7du0aBBA3x9fTl//jw+Pj5ERUXRrFmz+24jdujQgREjRtCpUyciIiJ4//33HdM6xGnQoAGjRo1izZo15MyZE1dXVyIjI5k0aRKDBw8mW7ZsZMuWDS8vL5RSNG/enE6dOhEbG0ulSpVo3Lixs98OIYDE9en5EugGfAvMAdYDSUp6hBApr2bNmgwfPpzPP/8cAA8PD7Jnz06ZMmXw9PSkYsWKtGnThqxZs5IjRw4uXrxIw4YNGThwIAEBAbi4uPDee+8lufyRI0cydOhQsmbNiru7O/nz5wfujWrr378/t27deuQf3aSK6yA9PyDgmc+VXpQrV4758+c/tH3w4MEPbZswYYLj8cSJEx/av2DBAsfj6tWrs2HDhodeU7JkScd1iK9bt25069Yt0XELkVISM3prs9a6kVLqV611Q6XUFq11knug2Vt6Fmutqz+wXUZvCZEOLFy4kObNm5MrVy6mTp2Ku7t7khZufVpxrUQyUaQQqUNqHL2VmI7MV5VSbwPZlFIdgespHJMQIg3LnTs33bt3x2q1cuzYsRQbmh5fXD+SjRs3pnhZ6U1QUBCVK1fm/Pnzjm3+/v4sX778mc4bHh5OkyZNHP2HwJjEs3nz5ty6dStR56hVq9YzxSDEgxJze6sHxlIUl4HK9udJZp/lOWWnYxVCmKZZs2Y0a9bskfvnzZsHgJ99bazk0KatMT5C+ookjbu7Ox9//DHffffdM/Wris/T05OxY8cyfPhwVqxYgYuLC8OHD2fChAlky5YtWcoQaY9SygWYAZQHIoCeWuuQePsHAh3tT9dprUcrpSzAWSBu2N/upC58/sSkR2sdppSawr1h5p7A1aQUJoQQFSpUSNbz3blzhz8PHWLw4MHJ9gc7o6levTqxsbEsXLiQLl263LdvwYIFrF27FovFQosWLWjVqhV+fn6sWrWK4OBg3n77bXbv3s2lS5cYNmzYfTOAV61alXr16vG///2PzJkz06hRI8qXLw/A6tWrCQgIwMPDg6JFi/Lpp5+yZs0afvzxR2JjY+nXr5/jPFOmTOHmzZt88sknco3TvtZAZq11DaVUdWAy8AaAUqo40BljuSsbsF0ptQK4DRzUWrd61sKfeHtLKTUDCAIWA0vs/wshRJJUqFAhWROfcePGAfDJJ58k2zkzolGjRjFv3jzHGnMAISEhrFu3jsDAQAIDA9m0aRPXrl0jZ86cnD9/nu3bt1OgQAEOHz7M5s2bE2xpGzhwINu3b2ffvn28846xitG1a9eYPn06AQEBLFq0iOzZszvmZcqRIweLFi2iRo0agNGpOjo6mpEjR6b5hCelbiU+aODAgQQFBSXrOZNRbWADgNZ6D8YdpDihQDOtdYzWOhZwB+4ClYBCSqktSql1SimV1MIT06enKlBCa11Ta13DGUtSCCHSr5iYmPvWKnsWNpuNMWPG8FLp0mTNmjVZzplReXt7M3ToUIYMGeJYMPf48eP8+++/+Pn50bVrV65fv86ZM2do0qQJY8aMYdasWfj5+bFz5062bt3qSHq2bdvmSGIyZcpEo0aNePXVV3F1dQWMSRJLliyJp6cnAFWqVHFMWBh/Dp/Lly+jteb27dtOex9SWtytxAzc4T4HcCPe8xillBuA1jpKa31ZKWVRSvkDwVrr48B5YLx9ENU44PukFp6YpCcEmUFZiAwjNDSUvn374uvrS8eOHRk1ahTh4eEJrsJ96dIlRo0a9VTnX7BgwX3Dn59F3HxDq1etSpbzZXQNGzakWLFirFixAjAmFixZsiTz589nwYIFtG3blhdffJHGjRuzc+dOnnvuOe7cucOmTZuIjIwkb968ANStWxcfH59HllO4cGFOnDjhSGb27t3rSHbiJsYEY+bnOXPmEBISkqwrwJupevXqeHl53bcUDBifCx8fHzp27Mj8+fOJioqiSZMmjvdo9uzZzJs3j+PHj9O9e3f8/Pxo27YtBw8eBIxRk61bt6ZXr16cPn0aMDqT9+/fn+7du9OmTRsCAwOdW9mEhQHZ4z130VpHxz1RSmXGmBMwOxA3y+h+YBWA1noHRqtPkpr9EtOR+QXgtFIqrqORTVp7hEif7t69S58+fRgzZoyj78WKFSv44IMP8Pb2fuj1efPmfeqkJznXxGrYsCGAYwZo8eyGDRvGnj17AGPG7Ro1atCpUyciIyN5+eWXyZ8/P/v378fd3Z1WrVqxfPly3NzcOHfuHP369SMsLIyWLVty+vRpGjVqxJQpUzh79ixRUVF8++23/Prrr6xcuZKYmBhq1apFtmzZqF69OlmzZmXDhg1cunSJX3/9lY8/Nvqp/vzzz45JEsuUKcOMGTPIlSuXmW/RMxs1ahTt27endu3agNEvLe42osViwc/Pj9q1a9O0aVM2btxI69atWbduHXPmzGH37t0MHjwYpRRr1qxh+fLllCpVivnz57NmzRosFgtt7R37T58+neAaaSbbCbQCltr79PwZt8OeyKwCftVax58saiRwBfhcKVUeOKO1TlJTWWKSnk5JObEQIu357bffqFKliiPhAWjTpg2LFi3Cy8uLJUuWMHv2bMLDwxk1ahS5cuVyrMS+c+dOpk2bRqZMmciZMyfjxo0jR44cD5Xx8ssvJ0us//33H8BD35jF06lWrRrVqlVzPPf09GTLli2O5z179qRnz573HbNs2TImTZpE/fr12b17N0OGDMHf39+xIGlcH5VXXnmFBQsWcP36dd555x1GjBjhWIB0w4YNjgVIW7ZsyV9//UWpUqVYvHgxO3fuZO7cuezcuZOvv/6a+fPnkyVLFj755BN27NjB66+/7pw3J4XEv5VYsWJFbt++7biNCHDjxg3OnDlD+/btGTVqFMWLF6do0aJ4e3uTL18+ZsyYQebMmbl16xaenp6cPHmSkiVL4uHhAdz7jOXJk4eAgAA2btyIp6enY400k60AmiildgEWoJtSahDGXSVXoB6QSSkVN2Hfx8AE4HulVEsgGvBLauGJSXpigKlAGeA4MDCphQkhUrfQ0FDHIqHxFS5cmP3799OuXTv69OnD8uXLWb58ueOPoc1mY8SIESxatIj8+fMTEBDAzJkzE5z5NyoqCuCZl4ro1r07AB07dnzCKzOOs2fPMmjQIDJlysSoUaNYt24defLkoUKFCmzevPmpJ4kcO3Ys3bp1o2DBe0su3rhxg23btnH16lUWLFhAeHg4339vdLFIaE2tW7du8d5779GvXz/Kli3L+vXrHQuQAvctQJrQ2mtxa8Vly5aNkydPJvvoP7M0bNiQX375hRUrVvDOO+9QsmRJZs+ejcViYd68ebz44osULFgQm83G7Nmz6dTJaH8YO3Ys/v7+lChRgi+//JJz587x/PPPExISwt27d3F3d+fo0aO8/vrrjjXSrFYre/bsYevWrSbXGuwdlN95YPOxeI8f1Z2mZXKUn5ik51tgJrANqI+xFEWj5ChcCJG65M+fn0OHDj20/dSpU1SuXNmxXESePHm4e/euY/+1a9fw9PR0LDlRpUoVpkyZkmAZcS0zzzJPT3R0NOvXraOLr+99fUBEwkqXLu1IKJ7GsGHDHtq2evVq3nzzTUdCe+fOHRo1aoS3t/dDo6siIyPp168fnTt3pmZNo1dE8eLF+e6774iOjsbV1ZV9+/bRunVrjh079tDxN2/eTHCtuPQi7lZi9uzZE7yNCNCuXTu++OILqlc3prd7/fXX6dOnD7lz56ZAgQJcu3aNXLly0b9/fzp27EiuXLnIkiUL8Og10uJahDKixCQ9mbXWq+2PV9qboYQQ6VCjRo34+uuvOXTokKOJfNmyZeTKlQsXFzlubkkAACAASURBVJdHDhn29vYmPDycixcvki9fPvb+f/bOPK6m/P/jz9tKKoVkH4qOZRgThkKGwSSTvQhFGIwvg2zRIHv2GSEMyhqisY3dGBlL9rEMJ8pSpISktKjO74/rnl9XRZYw4zwfj/tw71k/596T+76f9/v9ep08SeXKlfPctn79+nkufx2WLVsGwIJffnnrY30KhIeHs2HDBubPn0/r1q2xtbXlxo0blCxZEn9/f7Kzsxk3bhzR0dFkZWXh6emJk5MT7u7u+Pr6kpiYyMyZM9HT0+Pq1assX75cPnbRokVp3bp1np5bq1ev5vLly2RmZhIcHAyAv79/ngakV69ezbV/fl5x/1YKkkp8EWdnZ5yd/1+eJj8fMycnJ5ycnHItz8sj7VOmIEGPniAItUVRvCgIQm3UgkEKnzjh4eF4eHgwf/58rT80Z2dnatWqRXJyMgsXLnzv41q7dm0ucTWFglOsWDGWLFnC9OnTSUxMJCsrC0EQmDdvnqyHkxcqlYqpU6cyZMgQVCoVxYsXZ8aMGXlu+/nnn7/1OP/3v/9hbGKSZ3G1wsuJjo5m1apVlC1blm7dunHx4kUuXbqEubk5s2fPJjk5mU6dOskzCwAHDhygVatW9O3blz/++IMyZcpoHdPX11eroF1TSAt5f5Hn9cU9ZMgQ+bm1tbXc4ffLqwLbuD/hL1coXhNQwbMkMLYC+3Wg++nOaCjkTUGCnh+BlYIglAXuAv0Ld0gKb4KHhwcjR46kTp06ZGRkYGdnx6BBg+jbV+0a0rNnT4oXL878+fPf2dSmlZUVO3fulIMeURRJTU0FYOHChdy/f59Fixa9dnfP2xAQEKAEPW9JpUqVWLJkSa7lOV24HRwccHBwAGDTpk2A2t1dk8J4GZq0WJEib6aE8ffffwPwx8GDb7T/p465uTlly5YFoGzZsqSnpxMZGSl/dsbGxlhbWxMdHS3vM3DgQJYsWUKvXr2wtLR8Z8Xo7wzLFtAkh27u0e5wZztU6vLhxqTwUfLKZLgoiucAJ6ALaqXE84U+KoXXpkmTJpw+fRqAM2fO0KRJEzkPnp6eTmxsLIsWLXqnudzq1asTGxtLUlISoM71a6ZhGzdujIWFBZGRkUybNo3evXvTpUsX7ty5Q0xMDF27dmXo0KF06tSJiRMnAur8/Y8//oi7uzvu7u6IogiAt7c33bt3p3PnzuzatQuAo0eP4uLiQs+ePRk8eDBJSUkEBATw+PFjWVfmI9SnUAA2bNjAhg1vLuzeqlVrQF03pPD65JWitLa2lv//SE5OJiIiggoVKsjrd+zYQceOHVmzZg3VqlWTA92PkqwMSI0FA3MI7wd/fAt76sPf49Xrj/eG473gYAvY8xU8fp5WE/1hrx3sswdxwQcbvkLh8sqZHkEQBgHDgEtALUEQpoii+MZqiAqFg729PYsXL6ZPnz4cPnwYFxcX5syZw5MnT7h8+TJfffUVLVq0YPfu3Rw+fJhff/0VPT09ypcvz6xZs3j06BHe3t48efIESZKYOXMmJUqUYNSoUSQnJ5OVlcXQoUOxs7PD2dmZSpUqcfbsWYoWLcqOHTtwdHRk48aNlC1bloSEBLKzs4mJieHy5cu4urpy4sQJDAwM8PDwoGTJkty8eZMVK1ZQtGhRWrZsyf379wkKCqJRo0Z0796dmzdvMnbsWH799VfCw8PZsmULoA52XtYptHbtWnx9fbl8+XKB9SnCw8MZNmwYVatWBdRBorOzM+7u7u/t89N8NoaGhm91nLCwMGJjY18qDPehyVnT8Lo8fvyY+/fjmTt37jsckYKrqyvjx4/Hzc1N1sQpWbKkvL527dp4e3tjZGSEvr4+kydP/oCjzYO4P+DA15AWDyodqNofjK2hZCNouByy0mBrBfhiinp7Y2uwWwV3dsH50VDXD25vhFZ/gUoFf7SEst+C6Ru7HSh8pBQkvfU9UEcUxTRBEIyAw7yFBLRC4VCzZk2ioqKQJIlTp07h5eWFnZ0dx44dQxRFmjZtKnux7Ny5k969e9O2bVu2bt1KcnIyAQEBtGjRAjc3N44fP86FCxe4cuUK9vb29OrVi7i4ONzc3Dhw4AApKSnY2dlhYGBAWloaGzduJCUlhVKlSjF06FBCQkI4d+6c1thSUlJo0qQJRkZGXLlyRe72AbXAXXp6OhEREZw4cYLdu3cDkJSUhLGxMePHj2f8+PEkJyfTrl27AnUKva4+RaNGjZg/fz6g7jhxdHSkffv2eerMfMxoUk4fM2/SRaRh9OjRAK/dev2pUKFCBa1ZmJx1Mppg8+jRo/IyzT0Pao+rF8mpnP2u/aHeKZr0VvoD+KMVFKsChiXg4Sk4egj0TSErXXt7AAt7ODscEi9Byi3443ljcsYjeHJdCXr+gxQk6IlDLQYEkIpaFVHhI0NHR4fq1asTFhaGhYUFBgYGODg48Oeff3L16lU8PDzkbceOHcvSpUsJDg7GysqKli1bcuPGDbp0Uee/NUZ/O3fulNNVlpaWGBsb8/DhQwA+++wzzpw5g7W1NZGRkVy4cIHWrVuzaNEiHjzI+xYpW7Ysjx8/xsLCgoiIiFzrraysaNeuHc7Ozjx48ICQkBDi4+O5fPkyixYtIj09nWbNmtGuXbt8O4U07axvo0+RnJyMjo4OsbGx/O9//wOQxfb++ecffv31V/T19YmJicHJyYkffvgBb29vDAwMuHPnDvHx8fj5+VGrVi28vb25ffs26enp9O3blxo1ajBq1Ci502XYsGH0ea438+zZM7777ju2bduGkZERy5cvR09PD3t7e/z8/MjOziYpKYmffvoJW1vbPLtwtm3bRlRUFCNHjmTu3LlcunSJlJQUrK2t8y0sfldER0cza9YsEhMTefbsGdWrV2fkyJFycKtBI6v/ul5Z2dnZLFu2jK+bN/+kW24VXoJhSbBfCwebQ7VBoG8GXy1VBzCRy0DT7v7wDJRuAvePQvFa6uCmeC34erd6pufqfDCr/WGvRaFQKEjQowOcf66e+CWgLwjCegBRFD+4nrXC/9O4cWOWLl1K27ZqDad69eqxePFidHR0MDMzk7fbuHEjQ4YMoWTJkkyYMIH9+/djbW3NxYsXqV69OqdOneLPP/+U8/w1a9YkLi6OpKQkreNoqFOnDpcuXcLJyYn69euzZs0ajh8//trjHzhwID4+PmzatInk5GQGDx6MhYUF9+/fp0OHDhgZGdGnTx/09fXz7RSytrZm5MiRdOnS5bX0KU6cOIG7uzsqlQp9fX15dmn69OlUrVqVkJAQli9fjr29PXfv3mX79u1kZGTQtGlTfvjhBwDKlSvH5MmT2bRpExs3bmT06NG5UnNVqlShSJEiXL9+nVKlShETEyMXherr6xdYdt7W1jbPLhwNycnJmJqaEhgYSHZ2Nm3btiUuLk6eHXvXvMy+YunSpVrbamYiXlenR+MHtW6tMtGs8BKK1wSbH+HReUi6CvePgF4xMKkGqXfV28TuhjvbQMqCRkFgXAUsv4H9TSA7HUp+BUXLf9DLUCgcChL0TMvxXNF7/4ixt7fnp59+YtasWQAYGBhgYmJCzZo1tbarU6cOnp6emJmZUaxYMb7++muaNWvGuHHj2L5dLck0ffp0TExMGDduHHv37iUtLY3Jkyejp6e+Zb766iuaNm3KnDlzsLe3x8fHh+HDh5OamoqOjo7c/VO1alWsra0B6Nq1K4aGhsyZM4dBgwbJ48k5Hb948eJc15VX/UB+nUI5p+NfR58iZ3pLg5eXF5MmTQLUszAatVkbGxv09PTQ09PT6kDKqSZ79uzZPFNzAC4uLoSGhlKuXLlccvoFlZ2HvLtwNBgaGvLw4UO8vLwwMjLi6dOnshJyYfAy+4rRo0eTlJREYmIiS5cuJSIigsuXL7N792569+5NmzZtuHDhApMmTaJYsWKULFkSQ0ND/Pz8WLlyJb///jt6enryfbJlyxZiYmJ48OABd+/eZezYsTRt2rTQrk3h/XL79m2mTJ3GP//8w9G/jrx6B8uv1Y+cfJ5bVFELYRiUc9ReVnOU+qHwn6YgQc9t1OZg8v/uoijOKrQRKbwx5cuXlzueNOQMIv744w9AXTSrMWrMSV5tynkFIZrjAIwcOVJ+HhQUlGtbzRdVfvt8zFSpUoWZM2dSrlw5zpw5w/3794G8u1/yWp5Xaq59+/Y4OjqycuVKzMzMcmmQVK5cuUCy8y8bB/x/QfPPP//Mw4cP2b9/f6Eq2b7KvsLDw4PevXtz+PBhUlNT2bZtG+np6bi6utK4cWMmTpzIrFmzqFatGvPnzycuLk72aNqwYQPR0dFs2rRJbps3MDBg+fLlskeTEvT8O8nKyuLs2bMsWLBAtrLISWZmpvxDS0HhXVCQu2kbEAo8KuSxKCh8VPj6+jJmzBiysrIAdfDxOmqweaXmNDNEDRo04OHDh3mmCwsiO/8q6tSpw+LFi3F1dcXAwICKFSsSHx9PxYoVCzz+1+FV9hWaWbKIiAguXrxI9+7d0dXVJTMzk7t37xIfHy87pderV49du3YRFRUlezR1fl5vZmZmRkZGRp4eTQofP0+fPmXfvn3MmjWb48ePaa0rVqwYY8aMoXfv3oV2nwJgF1R4x1b46ClI0BMtiqJvYQ9EQeFD8aI0vIbPP/9cK10G6tmfnNtqOmHyE+7Lr7U3MzMTFxcX+XXOmbCCys7n14WjQVNL9D4oqH2FlZUVJUuWpHXr1nh4eLB48WIqVKhAmTJluH79OlWrVpXFBzUeTcnJyZw/d466detiZWWVp0eTwsdJfHw8wcHBzPDzI+7ePa11n39emzFjRuPs7Ezx4sU/0AgVPjUKEvTsEATBD/hHs0AUxdWFNyQFhf82ffr0oXTp0nKX3H+BgtpXtGjRgn379rF9+3a2bt1Ky5YtMTY2ZuLEiYwbN07WgbG0tEQQBNq0acNXz4PM9u3b5+vRpPDhkSSJq1evEhAQgL+/f6717dq1x8trOPb29rLDuoLC+0b1qjy/IAh/AleAxOeLJFEUx73rgQiC0AUI+fnnn2nTps27PryCgsJHzLp162jTpg0lSpRg/vz56OvrM3jwYCRJQkdHh6rVqnEtD5kDBTV+fn5cvnyZ+/fvk5aWRsWKFTE3N2fBgsJTFs7IyOCvv/5i7tx57Nr1e671Xl5e9O/fHxsbG2Vm7hNl9+7dDBs2DMBFFMXcjrQfgILM9KSLovhDoY9EQUHhk+Dx48cAWimNkiVL0qdPH4yMjDAxMZHThWFhYQDs3LHj/Q/0X4S3tzegFhDU6DS9axITE9m2bRt+fjO5evWK1rry5Svg7T2Grl27YmFh8c7PraDwrihI0HNLEISxwFmeO6yLorivUEeloKDwn0Wjt5NTp8fR0RFHR8dc23799dcACIKijPsmzJo1i3PnzpGdnU3fvn1p3rw5PXr0YPjw4VhbW9O7d28CAwOJiooiICAAUNuwzJ49m9TUVLp378758+fJzs7WOm7Tpg6MGjWSli1bUrRo0Q9xaQoKb0RBgh59wOb5A9SBjxL0KCgovBEFtcrQdMqtXq2UEL4Jf/zxB3FxcQQHB5OWloaLiwv29vbMnTuXQYMGUaJECXx8fLC0tGTPnj24u7uzevVqNm3alMtQtHPnzjg6OtKnTx90dF7pU62g8NHyyqBHFEVPQRA+B2oCEYrLuoLCp01Og1ZJksjMzMTDwwMnJ6c8t3d3d8fX11cWqbSysirQefp9/z1AvkaxCi8nIiKCS5cuyca5WVlZ3L17FxsbG2rUqEFYWBijRo3O1Tqup6ePo+O3LF68mJMnT7J3716ysrKoVq2aEvAo/OspiMv6EKA7EA6MFARhkyiKcwp9ZAoKCh8tORWsU1JScHd3p0qVKgUyE9XoDJmbm+e7TWZmJju2b6ebmxu6urrvZtCfGFZWVtjZ2eHr68vdu3cZPHgwTR0ciI+L09qudu06pKQk89dff1G2bFlGjBiBlZUVycnJpKens2zZMmJjY+nVqxfNmjX7QFejoPBuKEh6qzvQVBTFTEEQ9IFjgBL0KCh8ZORn+Dl16lScnJy00kre3t65luXkxdmZl1GsWDG6du3Knj172LVrF6dOnUKSJNliQsO9e/fw9fXlxo0bpKamMmHCBACOHTvGhAkTWLp0KefPnycgIIAff/wRgOHPDVlfNFtt3rw5VlZWWFlZ0adPH8aPH096ejqGhoZMmTJFtuf4FJEkiX/++Yft27ezaNEi2UpFQ2lLS/wXLMDR0ZEePXowc+ZMQkND6du3L6amppQsWZL4+HiqVKnCwoULCQ0NRU9PT8uxXUHh30pBgh6VKIqZAKIoPhMEofAMfBQU/gOEh4ezYcMGeSZkz549LFy4kGXLllGuXLlCOefLDD9fNqPyrihZsiQrV66kZs2abNiwQctiQkNUVBSenp5YWlpy+fJl1q1bR0BAgGzFcfr0aRISEsjMzCQgIADDIkVISEjI02w1NjaW0NBQzM3NGTZsGO7u7jRr1ozjx48zZ84c5s6dW+jX/LGQkZHBkSNHmDt3Hrt37wJg9OjR8novLy8GDBhAtWrVcrWO73jeFfeiP5+GRYsWFdKoFRQ+DAUJev4SBGEzcARoChx9xfYKCgrP+f3331mxYgVBQUGUKlWq0M7zMsNPTWv433//zdSpU7W0W5KTk/Hx8eHJkyc8evQIFxcXuYZm0aJFJCQkkJqayrx586hYsSJ+fn4cPnyYBw8esGrVKnr16oW3tzc3btwgKyuLgwcP0rp1axITE0lNTeXMmTNIksTPP//M/fv3iYqKwtLSkho1apCZmUmRIkWoUqUKFy5cQE9Pj7p167JhwwYADv/5J7q6uvmarWqCuYiICJYuXcry5cuRJKlAwnfh4eF4eHgwf/58rVokZ2dnatWqRXJyMgsXLnzLT6VgDB8+nJkzZ2JgYFCg7RMTE9m6dSt+fjMRRW2hxgoVKjJmzGildVxBIR8KUsg8UhCEtkANIFAUxdwqVAoKCrnYunUra9euJTAwkOLFi3Py5En5izQtLY2ZM2eir6/PiBEjKFOmDNHR0dSuXZtJkyZx5swZZs6ciZ6eHqampsyZo84o5xWgrFu3jmXLlqGjo4OhoSFjxoyRx6Ax/CxfvjzHjx9nyZIllCxZUl5/69Yt2rZtS+vWrYmLi8Pd3V0OejQGqf7+/uzZs4eqVasSExPDxIkTCQ4OZufOnTRq1Ihnz54RHR3NgAED2LBhA82bN2fkyJF4eHhw7do1MjIyqF69OpIk0a9fP8aNG0eXLl24e/cuAC1btmT27Nl88803VKxYke+eW3A0bNiQjh075mm2mrOgVpPisrW1JTIyklOnThXo87GysmLnzp1y0COKIqmpqQDvLeCBvC1ENEiSxK1btwgMDMTPzy+Xz5iDQzNGjhyhtI4rKBSQlwY9giD0B1aKovi7IAhJQK33MywFhX83p0+fJi4ujsePH8uGpdeuXWP27NlYWlqyZMkS9uzZg7OzMzdv3mTFihUULVqUli1bcv/+fQ4cOECrVq3o27cvf/zxB0lJSTx69CjPACU0NJQuXbrw+PFjKlasqOVMrTH8PHr0KCkpKbkcq0uVKsWqVavYt28fxsbGZGZmyus+//xzeZuEhAQiIyOpX78+KpWKkydPoq+vj5eXlxyAeXh4sH37dg4cOMCxY8fkmS09PT2uXbsmp6pSUlLYunWr/AXevHlzxo0bx8SJEzEyMiItNZURI0YABTNbHTNmDL6+vqSnp5OWloaPj0+BPqPq1atz8+ZNkpKSMDU1Zfv27Tg7OxMbG0vjxo05evQo69atY+vWrejo6GBra8uYMWPYt28fv/76K3p6epQvX55Zs2aRnJzMqFGjSE5OJisri6FDh2JnZ0eLFi3YvXs3hoaGzJkzBysrK8qXL8+cOXPQ19fH1dWVBQsWyNtkZWVx5swZFixYwLp163KNuXfv3gwZMoS6desqnVQKCm9Avn81giD4Aq0BzZxrNNBaEIQJ72FcCgqvJDw8nPr16xMbGysvmzNnDqGhoXlu7+3tLSv8vgty1qu8iIWFBYGBgfTq1YtRo0aRnZ2NpaUl06ZNw9vbm/DwcDnAqFSpEsbGxujq6mJhYUF6ejoDBw7k4cOH9OrViz179qCnp0epUqU4cOAAI0eOJCAgQN5/xowZ3Lp1i5CQEM6fP4/GWian4efgwYPp3bs3vr6+WuNcuXIldevWZc6cOTg6OvIyWxpra2vOnDlDw4YNCQsLw8LCglmzZuHg4EC9evVQqVTY2dkxcOBAtm7dSpMmTQC18GD58uXZsGEDoaGhqFQqfvnlF37/XT1pbGJiwqVLl6hatSpTp04FkP26PD092bt3L+vXr2fevHkEBgYC2marFStWZMWKFaxdu5bNmzfz5ZdfFvgzbNWqFfv370eSJC5cuJBr39DQUHx8fNi4caMcUO7cuZPevXsTHBxMkyZNSE5OJiAgAHt7e9atW8cvv/yCj49PLkG/nKSnp7N+/XpatWrF/fv3cWjWDJVKhZ6eHg0bNmTdunUYGxszdepUoqOjkSQJSZIIDAzE1tZWCXgUFN6Ql/3ltEHtl/EUQBTFm0BXwPkl+ygovFf09fUZO3bsS7+sPwSfffYZhoaG9OzZE319fQICAvjpp5+YPn06fn5+lC5dWh5zXr5EO3bsoGPHjqxZs4Zq1aqxadOmfAOUTZs2MW3aNHbs2MGRI0fo2LEjLi4u/P3338ybN08+pouLC0lJSXLxKqhnWVavXo2bmxurVq1CV1c3Vwol57YVKlSga9eudO3alW+//ZZatV49+WtnZ0dYWBjdunXD19dXfm9eRJIkAgICaNK0aYHrW94WZ2dnueOsfv36udbPmDGDDRs20LNnT+7evYskSYwdO5ZTp07Rs2dPzp49i46ODpGRkTRo0AAAS0tLjI2NefjwYa7rS0xMJDg4mAMHD6JSqTA2NubSpUucDA+ndu06rF27lsePHyNJEk+ePMHHx4cKFSq8l/dCQeFT4GXprWRRFLW+SZ53bz0p5DEpKBSYRo0akZ2dzbp16+jZs6e8fM2aNezcuROVSoWTkxMeHh4ArF+/nhUrVpCVlcW0adPQ1dXlhx9+wMzMDAcHB7744otcdTflypVj6NChJCcnk5aWxqhRo2j43PkbYN68eTx58oQJEyawbt06Nm/ezL179xgwYAD+/v5Mnz6dDh06UKZMGVxdXTE1NaVUqVKy4nBe1K5dG29vb9l1fPLkydy5cwdfX1927NiBmZmZHKAIgkCXLl0wNzenSZMmTJ06VSuo0PhYAaxYsQJQf9lr2LNnT67zr1mzRn7u5uYmP89ZL5TX8XN6PuW0mcgZaOV33Vu3bgUgeP36PNcXBhUrVuTp06esWbMGLy8voqOjtdZv2rSJSZMmYWhoSN++fTl37hzHjh1jyJAhlCxZkgkTJrB//36sra05ffo0NWvWJC4ujqSkJIoXL05GRgYDBw4kKCgo17nbt++Al9dwJkyYwN69e/MMBBUUFN4tLwt6UgVBsBJFMUqzQBAEK577bykofCz4+vri4uIip1NSU1PZtWsX69evR6VS0bt3b3mdra0t/fv35/Dhw8yePRtvb2/u37/Pli1bMDAwYN26dbnqblq2bElCQgJBQUE8ePCAmzdvyueeOXMmKpWKiRMnkp2dTWJiIqGhoejo6NC3b18uXrxIvXr1XppWyyn5r3leoUIFrTRdTEwM8+bNyzNAcXFxwcXFRX7t6urKvHnzOHnyJMWLF+ebb755sze2kNi1S91WnTMoAujUqRPAe5/ZcHJyYtu2bVSpUiVX0JMzoLS0tOSLL74gOTkZT09PzMzMKFasGF9//TXNmzdnzJgxrFq1isuXLxMXFyfPVmlScba2tnh6elK/fn02btwoFzArqaq366bLS1PqypUrHDx4kMGDBxf62BX+Xbws6BkDbBUE4SAQBVQCvgV6vY+BKSgUFHNzc8aNG4e3tze2trY8ffqUu3fvyl+qjx8/5vbt2wByCuPLL79k1qxZgPpLVvMFpam7MTIyIi4uDltbW6pVq0aPHj3w8vIiMzNTlvVPSEhAFEUqVaoEqL+8NMW9RkZG3Lt3T6sw+H2jCSI+Nlq1apVr2a1btwDYuXPnexlDw4YN5dk6d3d3+TN1cHDQEmx8MaAEaNGiBS1atCAxMZHffvsNOzv7XK3jFStWYsyY0bi6uubZOt6oUSP5+R9//PHOruvfzLvspqtRo0aB1MEVPj3yDXpEUbwsCEJToD1QDrXL+mRRFJX01kdKTEwMXl5eucwCPwVatGjB/v37+e233xg4cCBVq1Zl+fLlqFQqgoKCsLGxYc+ePVy4cAFbW1tOnz5NtWrVAO1f2j/99BMHDhzA2NiYMWPGIEkSoiiSkpLCsmXLiI+Pp1u3bjRv3pxSpUqxYsUK3N3dCQsLo3Tp0hw4cICQkBBSU1Pp1KnTO681cnd3p3r16ly7do3k5GR++eUXypcvz/z58zly5IhWh5O/vz+lSpXC1dWVCRMmcO/ePR49eoSDgwPDhg3D29sbAwMD7ty5Q3x8PH5+ftSqVYu1a9eyb98+MjMzMTExwd/f/53W2JQvXz7Xsi7PA4v8/Ls+NJrW8ZUrVzJz5sxcdU/Nmn3NqFEjadGihdI6/oYUpJvu77//Ztq0aUiShKWlpSzl8KKm1N27d2WB0JCQENatW0fx4sXR19fHycmJ1q1b5yn/kN/fl8J/h5fOq4qi+FgUxdWiKPqJohisBDwKHzM+Pj4UKVIEExMT7OzscHNzo1OnTty8eRNLS0tALdDn4eHBqlWrGDVqVK5jtG/fHldXV7p160ZKSgrx8fFUrlyZkydP0qVLF4YOHSpbJIC6CHn69OlMmTIFc3NzihYtSqdOnfD09MTCwuKldTtvSp06dQgKCqJx48b8/vvvREREcOrUKTZv3sysWbNISUnR2j42Npa6krX9FgAAIABJREFUdeuyYsUKgoODCQ4OlteVK1dODtw2btwop+iCgoJYv349mZmZXLx48Z2O/969e9y7d09+nZaWxulTpxg+fHieRd0fgqysLE6ePEmPHj1QqVTo6OhQpUoVpkyZQkZGBp6enpw9e5asrCwkSeLPPw/Rtm1bJeB5S17VTTd+/HhmzJhBSEgIdnZ2REZGAmpNqdWrV+Pg4KCVAn748CHLly8nODiYlStXyjNHGn2qlStXsmTJEq2aqxf/vhT+WxREkVnhX8Y///zDlClT0NXVlb2IAgMDqVevHo6OjvTt25emTZvSu3dvfHx86Ny5M/Hx8Vq6IL/88gslSpT4gFfxanKmKACMjY05dOiQ/Lpfv35a2+csuM1JzpmxsWPHMnbs2Fzb5FQx1qCp1ahUqRL79+8HYPXq1a9xBW+GxjKgTJkyJCQkcP36dT7//HN0dHQwNjbGxsZGa3szMzMuXrzIiRMnMDY21pql0KQAypQpI3ciFXaKTvOlpEk/an6tT548+Z2e53VISUlh3759zJw5i/DwE1rrjI2N8fb2plevXkonVSHj7OyMr68vFStWzLOb7sGDB3LtTo8ePeTlL2pKabh9+zbW1tZyMKoJol6mT/Xi35fCfwulgu4/yE8//cSECRNYu3Ytbm5u+Pn50bp1a8LCwkhLSyMpKYljx47JxoRffvklN2/eZNmyZaxZs4YqVarw119/fejLUCggGhuH7Oxsnj59yvXr17XWh4aGYmJiwty5c+nTpw9paWn5tstfvXqVAwcO8PPPPzN+/Hiys7PfeYrO0dERR0dH+fX48eOpXMVKtph4H8TFxTF//nxKW1rKreOdOnUiPPwEdep8obSOfyBydtO1a9cu1/rSpUvLjQTLli2Tf2zkR6VKlYiKiiItLY3s7GwuXLgAvJ4+lcJ/i3xnegRBmEE+nVqiKI4rtBEpvDXx8fHyL/gGDRowd+5c6tWrx7Rp0wgPD6d169bs3buX06dPU7duXVQqFSVLlmTMmDEUK1aMqKgo6tat+4GvQqGg1KhRA0dHR7p06ULp0qW1bCZArZPj5eXFmTNnKFq0KJ999lm+abfPPvtMTtEZGBgUSoquTJky8nNNcL3r98IrYNYE9wEBAXkaaHbo0JHhw4dhZ2dXIN8uhcLlZd10kyZNYty4cejo6GBhYUHv3r1fOrtaokQJvv/+e7p3746ZmRnp6eno6enRvHnzPOUfFD4BNEqfLz5sbGx65ffIb5+3edjY2HSxsbGRdu3aJf2bOHHihFSvXj3p7t278rLZs2dLW7ZseetjL1iwQFq/fr3WMhcXFyk6OjrP7aOjoyUXFxepY8eO0pUrVyRJkqT9+/dLAwcOlCRJknx8fKSePXtK//zzjzR9+nTJxcVFOnbsmJSUlCQ1adJEyszMlDIzMyV3d3dp8+bNUvPmzaW0tDStcxw+fFjasGHDW1+bwqdLTEyMFBMTI0mSJOno6Ejq/4beHWlpadL+/fslR8c2EuofblqPESNGSKIoStnZ2e/0vAofH8+ePZMWL14sv+7evbt08uTJDziiT4tdu3ZJNjY2ko2NTRepEOKGN3m8rHtrFYAgCHpAA0AfUKHu5FLIgUYVODAw8KMoxJw6dSpTpkxBkiR0dXVlSf9WrVoxduxYqlevTpMmTdi6dSsNGjRAV1cXW1tbOnbsiJGREaampvn+us/Zzqug8CZoUhJt27YlOztbtpZ4Ux49esRvv/2Gn99Mrl2L0FpXsWIlvL3H4OrqWqgu9wofJ3p6eqSmptKxY0f09fWpU6dOnrVCCp8OBSlkDkXtv1Ue0AXuAsEv3eMTIz9VYMitDOzs7Ezv3r3Ztm0b586dY8CAARw/fpz79+/j4+MjK+a+inv37skmi4mJifzvf/+jZcuWpKamEhISAqh1L0qWLCm3Ji9btgw3Nze8vLx48OABZcuW5fz589SvX5+iRYtibGxMeno6HTp0wMnJiZCQEHx9fYmJiQHUWhkHDx4kKiqKbt26aSkZOzg4yL5JZmZmTJ8+HRMTk3f4Liv8V9C0pfcfMABA1sgpCNLz1vEVK1bg5+eXq8haaR1XeBEvLy+8vLw+9DAUPhIKEvQUF0WxmSAIy4EhwMsrxz5RXlQFBrh+/XqeysBmZmbExsbKuiqXL1/m4sWLtGzZMtdxg4KCZAVbzTEBoqKi8PT0pGHDhpw9exZ/f39atmxJSkoK3333ndypNXbsWIYPH07Pnj3lfYsUKcLq1au5du0aI0aMYP369YSHh7NlyxZA28yxc+fO1K9fH29vb63lgJaSsaurK9OnT6dq1aqEhISwfPlyhg8f/u7eYIX/DKVLlyYrK4utv/2Gi6srurq6+W6blZXF6dOnWbBgAevzsKfo06cPgwcP5osvvlCUjRX+c8TExNCuXTstj7uGDRsSGRkpK3q/isGDB+cSdwwODiYhIYEhQ4a80/H+GyhI0PPs+b/FRFFMFQThjVXKBEHQARYDXwDpQD9RFK+/fK9/By+qAgNERETkqQzcqlUrDh8+zLlz5/j+++85evQo586dY9q0abmO27t3by3vI1dXV0Dt4h0QEMDmzZtRqVRav3g1fyCmpqZye6epqSnp6enA/6vBVqtWjYSEBIyNjRk/fjzjx48nOTlZq2siZytoWlqa1thyKhlHRkYyadIkAJ49e0aVKlXe5G1U+ASIjo6WtYICFi/WWpeSksLevXuZNWt2rtZxExMTvL298fDwUDqpFD4ZqlatquWFFx4eLusTFYTXVbMubF4VBwiC8D0wAMgEpoqiuFMQhFLAeqAo6myTp8YM/XUpSNDzmyAIE4C/BUE4ASS9yYme0wEoIoqinSAIjYC5qBWf/xPkVAUeNWoUVlZWeSoDV69enZEjR2Jubo6DgwN9+vTBxMQkT7n6/Pjll19wcXGhWbNmbNmyhd9++01e96q6osuXL9O+fXsiIiKwtLQkPj6ey5cvs2jRItLT02nWrBnt27d/5bFy/rKuUqWKbM555swZ7t+/X+BrUfi0OHjwIGPGjMHAwIBnz54xb948Zvj5kfDCPVOnzheMGTOa7777DlNT0w80WgWFj5ft27ezatUqDAwMqFy5MpMnT2bHjh1s2bKF7OxsfvzxR0aOHMnRo0c5ffo006dPp3jx4ujo6MgdunPnzuXSpUukpKRgbW3NjBkzCnvY+cYBgiCUAX4E6gNFgL8EQdgPTADWi6IYJAiCN+qgqGBTXS/wyvlgURQXiaI4WRRFP+B7wPlV+7yEJsCe58c9gfrCtLhx4wagntYOCgqSdRWePXtGUFAQly5dAtQqrkFBQVy5cgWAp0+fEhQUhCiKACQnJxMUFCSndB4/fkxQUBBRUWr/1EePHhEUFCRrPmgMJTUtkvHx8QQFBXHnzh1AXUMTFBQkK8neuXOHoKAgEhMTAfWv16CgIAYOHEiRIkVISEjgxIkT1K1bFzc3N7777jv27NlDkSJFKFOmDI8fPwZAV1cXPT09atasSVBQEE+fqoPXK1eucP78eZ49U0+0Xbp0iaCgIFlPombNmowZMwY3NzeOHTtGbGyslqroi4FHYmIie/fulY/dsWNHBg4cyJQpU7CwsODSpUs0a9YMT09P+vTpw4kTJ7SUfaOjozlz5oz8+vjx47LdAajrNPr27Uv37t2ZO3cuCQkJWmqme/bs0VJK/f3339m3b5/8eseOHRw4cEB+vW3bNi2hwdDQUA4fPiy/3rx5s5aW0KZNmzh27Jj8Ojg4mBMn/n+mYN26dZw6dUp+vXr1aq3rCQoK4vz588C/597TFJtr7j2NkNrNmzcJCgqSP5+oqCiCgoLke+769esEBQWRnJwMqD2OXrz3goKC5Jk9zb2nuRcvXLhAUFAQWVlZAJw/fz7XvZezjfjUqVNawpePHz8GlQ4ZGRmULVuWESNGkHD/Ph07diIsLIxDhw4REhLC33+fp3v37pw7d07LfPXQoUNs27ZNfn3gwAEtF/d9+/Yp955y7wG5770TJ05oKZIfO3ZMS5z0r7/+YvPmzfLrw4cPf9B7b+/evYiiKPvDOTo6cuTIEUD9Wc6YMYNBgwYRHByMiYkJo0aNIjIyElNTU4KDg4mKipLfuxkzZtC0aVMGDx4sz5QuXbqU5ORkAgMDWbduHYcPH5bP/y7uvZzXkoOXxQFfAUdFUUwXRfExcB2ok3MfYDeQuxakgLxypkcQBHvUU1GWwB2gH3D+Dc9nCjzO8TpLEAQ9URQ/nCvjW/Lll1/y7bffyv9pFCtWjEOHDnHz5k3+/PNPevbsyZAhQ4iKiiIsLEyuX5g/f778H+fGjRsRRZHjx49rHbtp06ZyOkvD+vXr0dfXp0mTJhgZGeHu7o6uri7nz5/n/PnzWuaFnp6e8s09fPhwIiIiePjwIU5OTlSpUoUbN27I6atevXoRExMjn++vv/5i1KhRGBoaAmrzygcPHsgmlocOHdJyMK5UqRKDBg3C2VkdE+/bt0/+Y1NQyEnp0qVzLTMzM6dVq5bUqlWLf/755wOMSkHh46Rs2bJyemvz5s0kJiZy584doqOjKV26tFyw36BBA4KCgihfvnye5QVxcXGyhpetrS23b99GT0+PpKQkvLy8KFq0KBkZGXJAWYi8LA54cd0ToPgLyzXL3oxX9bTb2NicsbGxqfn8+ec2NjbH3rQ/3sbGZp6NjY1rjtcxOZ7/K3V6/m3kpf2joPA+uXHjhiSKotSxU6c8dXQAycTERJo1a5Z07969Dz1cBYUPhkZ7LScnTpyQhg0bJj148EBq1aqVlJKSIkmSJE2dOlUKDAyUtmzZIs2ePVve3t7eXpIkSerQoYN0/fp1SZIkacqUKdKCBQukAwcOSEOHDpUkSZIePHggffXVV9Lt27ff2fjz0ul5RRzQzsbGZnGO17/Z2NjUt7GxOWtjY1P6+bIvbGxsdkpvGIcUpN0hURTFfwBEUbwEvFHx0HOOAk4Az3N579bJUOGVDBkyRKswWkHhffPnn39y7NgxQrdskeUQAEyLF+fQoUP06tWLJ0+eMHr0aMqUKSMbfk6cOFFre4WPg/DwcOrXr09sbKy8bM6cOVppoTfF39+fGjVqEBcXJy978OABtWrVeu3jT5s2jbt37771mD4WSpQowZAhQ/Dw8MDV1ZVHjx699P/22bNnM2bMGHr16iW/D3Xq1CE6OhpXV1d+/PFHKlasWCgmyS/wsjjgJNBUEIQigiAUB2oAl3LuA7QBjrzpyQtSyBz/vF39D6AeoCMIQn8AURSXveb5fgNaCYJwDLXQoedr7q+goPAvR1MkD1C+fHkkSWLnzp04OzvTvHlzBgwcSGZmJjo6OoiiyMKFC1m0aBGTJ0/WMiX18vJi0KBBWFlZfRSioJ8yhSnQWrlyZXbv3i13we7atYuyZcu+9nF8fHze6bjeBxUqVNCqOQJto2VnZ2e5pECDpgRBg0ZqpGrVqlr1Sho0UiXvkVxxgCAIXsB1URS3C4KwAHVQowP4iKKYJgjCVGDV886uBKD7m568IDM9V4FooBrqzq3DQFmgzMt2ygtRFLNFURwoiqK9KIp2oihefd1jKCgo/LsxNzfH3Nxca9l3331HZmYm/QcMYOmSJejp6bFr1y6qV6/OwoUL5anpqKgoRo8eDcC8efOoWrUqOjo6qFQq+vfvz+XLlxXzyA9Ao0aNKF68uFbRsIY1a9bQtWtXunXrxurVq3n06JEc+J47d46vvvqKrKws7t27R9++fXPt7+TkpFUMfOjQIZo3by6/njt3Lt26daNr167s3r2bzMxMunXrxpEjR0hISKBt27bExsbi7u5OZGQkDx484Pvvv5f3uXnzJklJSQwYMIAePXrQrVu3XPWVCu+OvOIAURTniaK4/fn6X0VRbCCKYj1RFLc8XxYniqKjKIqNRVFsL4piysvPkj/5Bj2CIGiEMIJffIiiOEkUxcn57aug8DJyFkxrCA4Oxt/fP999/P39tbouFAqfHj165PrPf+rUqXz55ZcFThOEhoZy8OBBrWVRUVFyN9GyZcvkTiVdXV2WLlnC/fv3MS1enO+++w6VSiV3EsH/SyNogqCYmBgmT56Mvr4+v/76K59//rkcBPXs2ZOzZ8+SnZ39Nm+DQgHx9fXV6gwDbYHW9evXc+DAAR49epSnQOvBgwfzFGgtVaoURYsWJTo6mlu3blGmTBm5weLw4cPExMSwYcMGVq9ezZIlS3j69Clz5sxh5syZjBo1itGjR2vNDAUEBNCiRQs2bNjAsGHDuHDhAgEBAdjb27Nu3Tp++eUXfHx8lPvmP8rLZno0ut1LgSUvPBQUFP7juLq6arXnZmRkcOjQIY4ePUq5cgWz4OvUqRPffPON1rKwsDDCwsIA6N+/P3Xq1NFaX6pUKR4nJspt4hUqVKBzly55umCXL1+e8ePHk5GRgSRJxMfHM2/ePMzMzVm3bh316tVDV1cXlUpF+/YdOHr0aC7rCoV3Q06BVk3AkFOgtVevXiQmJuYr0Hr48OE8gx5Q+7T9/vvv7NixQyudExERweXLl3F3d6dfv35kZmZy9+5dKlSogK2tLQ8ePMjlF3jjxg2+/PJLAOzs7GjXrh2RkZE0aNAAAEtLS4yNjXn48GFhvE0KH5h8gx5RFDVBTxtghCiKLYAFwLfvY2AK/31Onz5Np06d8PT01NKqmDt3Lp6enri6ujJ27Fh5+cGDB+nVqxft27eXW/O3b99O586dcXNzY+zYsUqb/DvE0dGR8PBwUlNTAfX737hxYwYMGEBkZCT+/v706dOHbt26ERkZyaJFi+jYsaOs1xQeHi7P0IWHh9OvXz9++OEHQkJCZB0Xb29vwsLCSE5OZujQofTp04eOHTuyfv16HBwcyMrKYty4cYRu2YKhoWGe6ZOcWFhYMHz4cB49fIgkSTx8+JClS5dSoUJFtm/fRpMmTdDX10elUvFNy5YcOHAgz2BK4c1o0aIFVapUkcVSNQKtq1evZs2aNXTq1AkbGxtatmzJzp07MTY2xsHBQf4c8hNo/fbbbzl48CCnT5+W61k0x2/YsCFr1qxh1apVtGnThgoVKnD+/HmuXbtGgwYNWLlypdaxrK2tuXhRXTt76tQpZs+ejbW1NadPnwbUrd1JSUmYmZkVxluk8IEpSE3PWkBzl9kAqwpvOAqfEjNmzGDu3LkEBgbKekLJycmYmpoSGBjIhg0bOH/+vNy5YWlpyapVqxg3bhzBwcE8evQIf39/Vq1aJYtzbdy48UNe0n8KQ0NDvvnmG9kVPTQ0lK5du2ptY2VlxYYNG3j27BlHjhxh8+bNLFq0KE9F7rt37+Lv709ISAhr167VWnfr1i3atm3LypUrWbJkiSw4p6Ojw7Rp03j8+DFW1lXp2bMnKpWqwDL85ubm9O/fn+jo20iSRFJSEmvXrqV69Rr8cfAgrVq1wtDQEJVKRcOGjdi+fXsuuxWF18PHx4ciRYoAUL16dezs7HBzc6NTp07cvHkTS0tLypQpQ3p6ulwLpKenx9dff53vMU1MTChTpgw1a9bUUoJv0aIFRkZGdO/eXS7glSQJHx8fpk+fzujRo9m2bZsc5AAMHDiQgwcP4u7uzoIFC+jWrRsDBgzgxIkT9OjRg0GDBjF58mT09ArS56Pwb6Mgn2p5URSXAIiiOEsQhDwlFhUUXpe4uDhZREsjlmVoaMjDhw/x8vLCyMiIp0+fyrM3Gk8xjQ9YdHQ0VatWxdjYGFCLc+VUylV4e1xcXJg1axYNGzYkKSlJy/gQkD+/yMhIateuja6uLrq6urLoZU5sbGzQ09Pj5s2bub5QSpUqxapVq9i3bx/Gxsa5UlCmpqZEXr/G2bNnqVevHlWrVsWhWTP27N79Wm7qJiYm9OjRgx49egCQmprKnj17mDZtOidPhmt1ltWsWYvx43/C2dmZYsWKFfgcnxo5u4kAjI2NtZR4+/XrR79+/XLtFxISIj/P78dKTkPMnDV/I0eOlJ/nnA3WkFMVefv27QBa/lVLluSu0lj8gg+cwn+TAtkSC4Jg8/xfayB/S2QFhdfAwsJC/sWu+SUWFhZGbGws8+bNw8vLi7S0NLkb58VW2AoVKhAZGSlL2J88eVIxOn3HCIJASkoKq1evpnPnzrnWa351V61alYsXL5KdnU1GRkaeqsqaz++vv/7KlYZcuXIldevWZc6cOTg6OubbgWVra0t2djZz5swh7PBhjIyM8Pf3f+OOraJFi9KxY0dOnz6FJEmkp6ezZ88emjX7mn/+uYybmxvGxsaoVCo+q1yZFStWyJYKCgoK/z4KEvQMAzYJghALbOT/C5wVFN6KtxXLel1xro8BDw8PuVspIyODevXqsWLFCnl9z549uXr13Sk5DB8+/K1rVjp37kxISAht27bNdxtBEGjWrBmurq7873//Q19fP9/0QJcuXeT0h4bmzZuzevVq3NzcWLVqFbq6uvmOW6VSMWLECFJSUmhkZ8ePP/6Ijo6O/L6+DQYGBnz77bf8+echJEni2bNnhIWF0bbtd9y+dYt+/fphZmaGSqWilIUFCxYskH2nFBQU/gW8qZTzu34oNhQKnwJLly6VVqxYIUmSJB07dkz68ccfpZ49e0qSJElpaWlSixYtPuTw3piEhARp7dq1kiRJUnp6utSyZUvpzp077+XcV69ele0rqteoISUlJRXaubKysqSTJ09K3bp1y2WdUaRIEWnatGnS3bt3C+38Cgr/JvKyofjQj1fO9AiC4CEIwj+CIERpHoUbhiko/Hext7eXu0QOHz6Mi4sLT5484cmTJ5w7d45y5crRpUsXeXuNjsjRo0dxcXGhZ8+eDB48mKSkJMLDw+nbty8DBw6kQ4cOsu6Io6Mj69evB9SFnunp6Xh7ezNhwgT69u2Ls7Mzly9fBtR1FR06dKBXr17069fvja0DzM3NuXTpEp07d6Z79+64uLjk29YuiqLszPwuEAQBSZIIDAzk6pUrmJqa4uvrWygihTo6OjRo0IDg4GAkSSI7O5sLFy7Qt29f0tLS8PHxoVy5cqhUKlQqFePGjePWrVvvfBwKCgpvRkHSW2OAdqg9MDQPhUIkPDwcQRDYtWuX1nJnZ2e8vb3z3CcsLEzpXPoXULNmTaKiopAkiVOnTvHVV19hZ2fHsWPHOHnyJG5ubhQpUoTr16+TmJhITEwMtWvXZvz48SxcuJC1a9fSoEEDAgICALh37x7+/v74+voSEBDArFmz+PXXX/O8F8qVK8eKFStwd3dn48aNPHz4kOXLlxMcHMzKlSvl1vQ3QUdHhxkzZrBlyxY2b95M//798932+PHjhaJ427t3b9LT02nXvj2TJk1CR0eHY8eOvfPz5ESlUlG7dm2WL18uB0EREREMGzYMUHcoVq5cWQ6Chg4dSkREhKIaraDwgShI0BMliuJ1URTTNY9CH5UCVlZW7Ny5U34tiuJLv5QcHBxytRMrfHzo6OhQvXp1wsLCsLCwwMDAAAcHB86ePcuZM2ewt7fHxcWF0NBQdu7cSbt27Xj06BHGxsZYWloC6i61a9euAVCtWjX09fUxMTGhUqVKGBgYULx4cdLTc/+Z1qih/r1SpkwZMjIyuH37NtbW1hQtWhRdXV1ZsK2wcXV1zaXI/a4wMDBg29at3L59G4DGjRtTqpTFexOaU6lUVKtWjfnz58vT6bdu3ZJ9nxYsWIAgCLJqdJ8+fbhw4YISBCkovCcKEvQ8FQRhtyAIMwRBmC4IwvRCH5UC1atXJzY2lqSkJEDddqlRIl27di0eHh50796dAQMGkJGRQWhoKHPmzCEmJoauXbsydOhQOnXqxMSJEwF48uQJP/74I+7u7ri7u7/T9ILC69G4cWOWLl1K06ZNAahXr57c7WRmZoajoyNHjx5l//79tGvXDnNzc5KTk+WC7pMnT1K5cmUgd0fby3hx20qVKhEVFUVaWpqcpnkfGBkZYWRkVKjnqFixIpIksXXrVh48SKBkyZIMGTKErKysQj1vXlSqVImpU6fKQVBsbCwzZszAyMiIwMBAvvjiCzkI6tq1KydPnlQsEBQUComCBD27gA2ojUfF5w+F90CrVq3Yv38/kiRx4cIFvvzyS7Kzs0lMTCQoKIj169eTmZmpJbwFcPPmTaZNm0ZISAhhYWHcv3+fJUuW0KhRI9asWcOUKVPw9fX9MBelgL29PWfOnKFZs2aAenbCxMRElsE3NDSkQYMGlCxZUu4Umjp1KkOGDJHNEAcNGvTW4yhRogTff/893bt3p1+/fqSnp78XQbYrV65w5cqVQj8PqB3dnz17Rp++fVm4cCF6enpa5pUfgjJlyuDt7U1KSgqSJJGQkMCCBQuwKF2aTZs20bBhQ9k6w8mpLYcPH/6g1hlvkm4vCI0bN36rcUVGRuLu7v5Wx1D49Mj3fzhBEOqLongaiH2P41HIgbOzM76+vlSsWJH69esD6vSIvr6+LN537969XP8hVqpUSRbss7CwID09nYiICE6cOMHu3bsB5BkkhfdP+fLlc820vSiMlpmZiYuLi/za3t4ee3t7rW1yisJZW1vL4mumpqbyF7vGrsPPz0/ez8HBAQcHBzIzM4mPj5eLl3v06KFlzFhYhIeHA/+fbits9PT0WLF8OX7P62vatGkDqBWi38f1vgrNLJRGiO/x48eEhoYyZcpUdu/exe7d/x9sNG3qwLhxY2nevLlsuvk+0KTbnZycgFen2xUUPlZe9rPuG+A08KLwiQTsK7QRKchUrFiRp0+fsmbNGry8vIiOjiY5OZkDBw4QEhJCamoqnTp1ylUPkFfKw8rKinbt2uHs7MyDBw+01FAVPi769OlD6dKlsbOzK9Tz6OnpkZqaSseOHdHX16dOnTpycF2YdOvWrdDPkRcWFhakpKTw559/0rx5c8qVK4dr166sXbMGfX39DzKmvChevDienp54enoCkJKSws6dO5k2bTpHjoTRpk2YvK2tbT18fMZIMEktAAAgAElEQVTh6OhYqCnD6tWrc/PmTZKSkjA1NZXT7bGxsaxdu5Z9+/aRmZmJiYkJ/v7+7Ny5ky1btpCdnc2gQYMICQlhwYIFgPrz1zwHdbp24cKFAKSlpTFz5kz09fUZMWIEZcqUITo6mtq1azNp0iTi4+MZOXIkkiTl69OloPAyXmY4OvP500RRFD1zPPq8p7EpAE5OTsTGxspKw7q6uhQtWlQ26rSwsMhXvC8nAwcOZPfu3bIbcbVq1Qp76ApvyMqVK7VmZgoTLy8vfvvtNzZt2sRPP/30WjVCb0qRIkVyiRO+T77++muysrIYM2YMmzZuxMDAgA0bNnyw8byKYsWK0bVrVy5c+BtJkkhNTWX79u00amTH2bNn6Ny5M8WKFUOlUiEI1Vm7di1Pnjx55+N43XS7qakpwcHBNGnShIiICB4/fsz169cxNzendOnS8nGvXbvG7NmzWb16NS1atJBnKfNK0wcGBvLdd9+xZs2afB3ZFRReRkES+NUFQTATRTGx0EejAGinLTSFx/D/aYlXsWnTpjyfK94yCh8Dly5dAsjTn+t9oaOjg5+fH2PHjuWLul/i5uaGm5sbkZGRWFlZfbBxFYQiRYrg7OwsNzZkZGRw5MgR/PxmcuDAfq06l3LlyzNh/HhcXV0xNzd/q/O+brpd80NNpVLRrl07du7cSUxMjJYOFaiNhKdNm4aRkRFxcXHY2toCeafpr127Jvuj2draEhwc/FbXpPDpUZBC5ppAgiAI9wRBiBUE4W5hD0pBQeG/y+nTp2WBxg9N8eLFuXkjilOnTgHq2qhvWrb8VzmtGxgY8M0337B//z4kSSIzM5OjR4/SoUNH7t65w8CBAylRogQqlYriZmbMnTu3QLPDL5Iz3d6uXTuA/2PvzuNqzNsHjn9OqURlS5hBZem2xhDZxr4UY8xEkWRsj7GM9WHKhCdj35eMpgZFRUTGNoxtjLWyzQ9DN7KPJYOi0n5+fxzdU0piOKf4vl+v85rTvV7nZDrX+W6X0t2+ZMkSpkyZQmZmptLdnr0aes+ePdm9ezcnTpxQBvBnmTx5MrNmzWLOnDlYWFi8tNYeaLrpz5w5A5BrAocgFMQrkx5Zli1lWS4my3JFWZYrybKc9zKrglCIvM0ZJ7IsKx+Kwr+Xvcp5YWFnZ0dmZibz5s3jwP79GBsb88MPPxTJ9XP09fVp0aIFW7aEo1arycjI4PTp07i7u/MkPp4JEyZQoUIFVCoVxYoVY9q0afz1118FuvabdrdXqFCBkiVL0rx581wzBHv06IGLiwt9+vQhMTEx34RszJgx/Pbbb7i7uyuD9AXhtbysPoWNjU0bGxubUzY2NgdtbGxqvOt6GKL2lvA2RUREqB0cHNTDhw9XtkVHR6s7dOig9vDweK1rLVu2TL1u3bq3HaJQSCUkJKibNG2q1NQ6d+6crkN6qzIzM9V//vmnetiwYbnqhwHqiRMnqmNiYtSZmZlv9b5Dhw5VX79+/a1eUyjcilrtrZmAG+AFzH7HuZcgvHX5LfC4bds2evbsiaurK5MmTSItLY3w8HDGjBnD119/jaOjI+Hh4dy/f58tW7YQGBjI2bNn2b17tzLOyt3dnUePHhEZGcmQIUMYPnw43bt3V0pEXLp0iUGDBjFgwACcnJw4ffq0zt6LwuTs2bNaWwjxTZQsWZKoyEhlLaH69etT39aWhIQEHUf2dqhUKurUqYOvr69SOiMmJoYJEyYAMH/+fKpXr64smDhixAguXrz4xq1eycnJODk5UatWLSwtLd/mSxGE15Zf0pMqy3K0LMtHgX83Ak4QdCSvGSdxcXH4+PiwZs0a1q9fj6mpqVKrKiEhAT8/P3x9ffH396dChQp8+eWXDBgwAFtbW65fv46/vz9BQUFYW1tz5MgRQLPmi4+PDxs2bGDlypUAXLlyBQ8PDwIDAxk4cOAbF/N835w+fbpIJIC1atVCrVazatUqzp87h6mpKdOnTy+SXV75UalUVKtWjfnz5yvfhm/duoW3tzf6+vr4+vpSp04dJQnq378/Z86cKfCq0cWLFyc8PJxx48a941ciCK9WkIHMr3PcOxMZGYmdnR137/6zVuKCBQte64Nkw4YNpKWlERkZ+cr/Adu3b4+bmxvu7u64uLgwbdq0POsZZY+voP9T37lzR/RHa0n37t355ZdfOHHihDLjJDMzkxo1aigzQ7LXsqpVqxYAlSpVIjU1Ndf1ypUrh4eHB5MmTUKWZWWmio2NDcWKFaNEiRLKdGwLCwtWrFiBh4cHv/76q05X1S1Mss9ILAoGDRpEcnIyXbt2Y+rUqejp6REREaHrsN6pypUr87///Y/09HTUajX3799n/vz5mJmZERQURKNGjZRVo7/80oljx47ppMSHILyu/JKZjyVJGipJ0tfZng+VJOnl5ZPfMQMDAyZNmvTG37T8/Pxeq6bN6tWrCQoKYuPGjVhYWLB48eI3uu+LIiIiisQ33fdBXjNOVCoVMTExJCUlAZrF0bJPr32RSqUiMzOTp0+fsmzZMhYvXsyMGTMwMjLKd6bJzJkzGT16NHPnzsXGxua9ayF4U/r6+ujr6+s6jNdiZGTEzp07uH79OgDNmzenQoWKPH78WLeBaYmFhQUTJkwgPj4etVrNw4cP8fX1pdJHH/Hzz1to2bIlxYoVQ6VS0alTZw4cOEBaWpquwxaEXPJLetYBlYCK2Z5n/awTzZo1o1SpUoSEhOTat3r1anr27Env3r2ZP38+AD4+PgwaNIg+ffoQEhLCgwcPlNaYGzduMGTIEJycnPDx8XnlvQcOHMiePZqFqPMa15Hl2bNnDB48mG3btgGa5f+dnZ1xdnZmzZo1ZGRk4O/vz44dO9i/fz9RUVH079+f/v374+LiwrVr1/71+yTk9OKMkzJlyjBq1CjlPX/8+DGuri8uPP6PevXqERISwp9//kmjRo348ssvcXNzo3jx4vnONPn8888ZMWIEffv25fr16280Tfh99Mcff/DHH3/oOow3YmlpiVqtZvPmzcTG3qds2bKMGTv2gysQWrZsWYYNG8adv/5CrVbz5MkT1qxZQ82aNuzbt5cOHTpgaGiISqWiefMW7Nixo0gtAyC8x3Q9kjrr8arZWxEREeqxY8eqHz16pO7QoYP62rVr6vnz56s3b96sjo6OVvfq1UudmpqqzszMVI8cOVJ94MAB9bJly9TTp09XrtGuXTt1cnKyOiIiQt21a1d1SkqKOikpSd20adNc98s6NrsWLVqo1Wq12tfXV52UlKRWq9XqKVOmqLdu3aqOiIhQDx06VN2/f3/1vn371Gq1Wn3gwAH1yJEj1ZmZmerU1FR1r1691NHR0erNmzer58+fr1ar1erg4GD1vXv3lOuuWLEiz9cvCO+LgIAAdUBAgK7D+NfS0tLUXw0YoMx6+vXXX3UdUqGRmJio3rRpk/qTTxrlmh1Wv76tesOGDeqEhARdhym8Y0Vt9lahVKZMGb777js8PT2Vb1dXr16lQYMGGBgYoFKpsLOzU8ZoZH27f1HNmjUxNDTE2Ni4QJWlExISKFmyJPDycR1RUVGkpKQoY0FiYmKws7NDpVJhYGBAgwYNiImJyXHdrNVIPT09iYyMFOM+hPfegAEDGDBggK7D+NeKFStGYEAA9+/fx8jIiC5duqCnp8e9e/d0HZrOlShRgp49e3L69CnUajXJycn88ssvtGr1KefOnaV3796YmJg8H0RdnYCAAFEEWdCKIpf0gGaQsbW1NVu2bAE0q3SePXtWGXR34sQJJdnJvipo1tiMrOev46effsLR0THfcR1t27Zl+fLlLFmyhPv371O9enVOnToFQFpaGmfOnMHS0hI9PT0ljpetRioIQtFgYWFBcnIy+/btQ61WU6lSJdz69RNjWrIxMjLC0dGRw4cPoVarSUtL4+DBgzg4OHLt2lUGDRpEqVKlUKlUWFSowPLly3n48OG7C+jCXAivBBnvsMvt/kE48ry47q0tkCSKGRQGL016JElq/bKHNgN8GS8vL2WWjCRJODo64urqSq9evfj444/zLEZnZ2fH0KFDC5xYDBo0CHd3d9zc3EhMTGTkyJGYmJjkO67D3NycUaNG8d1339G2bVsqV65M79696d27N126dKFu3brY2Niwf/9+du7c+VqrkQrC++DUqVPKl4H3SYcOHcjIyGDChAmsCwnB0NCQsLAwXYdVKBUrVow2bdqwa9cvqNWa0hmRkZE4OzvzIDaWUaNGYW5ujkqlomTJksyZM+fttqBdDwHLPnBDS4Vm5aWQJlqyCgPVyxIASZKyKrlVBwyBE8AnQIIsy23fdiCSJPUCwpYsWYKjo+PbvrwgCIXE2rVrAejfv7+OI3l34uLiqG/bgNu3bgJw7do1rKysdBtUEaJWqzl37hyLFy8mMDAw134vLy+GDh1K1apVX//i9w9qkpCGc+BYP3A4AZdWwLU1gB5YtIJP5sOtcE2LkJ4BlLSC5mvh2R2IGg6ZyZDyEOpNhSpfwFYr+Cwa9IvDH55gVktzzuUfwdodjrmBqQ10OgL6hv/qvSlKdu3axdixYwGcZVnepOt4IJ+WHlmWXWVZdgUeAHayLP8HsAfEEHxBEN5Y1mzF91np0qW5dfMGkZGRgGZsYecuXcQMpgJSqVTY2toSEBCgrBodHR3NqFGjAM1yEJaWlqhUqhzDFgokZiVUHwJmEugbwd+RcDUAGi+FLsfBpBpkpsP19SCN0yQqFTtrWmqeREPt/0L7vWC3HC7/8Or7fdwNyjTUJE0fUMJTWBVkTE+lbM+LARbvKBZBEIT3StOmTcnMzGT27Nns3bMHY2Nj/Pz8dB1WkaNSqZAkiWXLlimzcK5du0Zft37YN2ueY+xmvlIfw51fNC09vzlAajxcWg7NAjStMvvaQOINQA2NFsGDQ5ptfx8DlR4UrwRX/OCYu+b4zDzGbYlxmYVaQf6lrAL+lCRpM/AHMOfdhiQIwvvsxIkTH1TVepVKhaenJwkJCXzSqBHDhg1DpVLx559/6jq0Is3KyoqQ4CAijh8r+EnXgqH6YGi/B9rthi6RcG8PXPaFpj9Cx9/h0Rl4cAyu+EN9b8021JrByGengHV/aBEEFdpptoOmW+vZXU3C8ziPNahUesCHtZZTYfXKudqyLP8gSVIQUAu4Ksvy3+8+LEEQ3leXLl0CNOU/PiQlS5bk9KlTXLhwgbp161KvXj0aNGzI0SNHlOUwhHcsZiU0D/rn52IloEpPKF4BdjeB4uXB+GMwt9d0Zx3oBEbloJgpfPwZ6BnCydFgXBFKVIGU5x+Htb+Fg10143gM8yhVad4CjveHdnvAqKxWXqqQt5cOZM4iSVJDYChQPGubLMuD3nYgYiDzv+Pv78+xY8eUooDjxo2jXr16r3WNuLg4Dh8+TPfu3fH09KRr1660bp33ZL3IyEjGjh1LjRo1lNkX/fv3p2vXri+9/quumd3evXuxtbWlQoUKr/UaBKGo8PPzY9iwYYBmjMqkSZNeeykNQSjMitRA5mwCgdPAhmwPoRC5cuUKBw4cICAggNWrVzNhwgS+++67176OLMuvVQi1WbNmBAUFERwczKpVq1i5ciUXL1587fvmZe3atSQkJLyVawlCYfT111/z7NkzOnfpgpeXF3p6ekRFRek6LEF4rxUk6bkny/JKWZZ/zXq886iE11K2bFnu3LnDpk2buH//PrVr12bTJk1SfeHCBVxdXenXrx+DBw/mzp073L59GxcXF+V8FxcXbt++zY8//khERAQbNmjy2g0bNtC/f3+cnJw4e/ZsvjGULFmS3r17s3v3bjIyMvDy8mLw4ME4OTmxZMmSHMf+3//9H87Ozty9e5fbt2/z1Vdf4ebmRr9+/YiOjubgwYNcvHgRDw8PUlNTWbhwIQMHDsTFxYVJkya95XdP0LaIiIgiXaV8zpw5uLu74+DgQNu2bXF3d2f06NFvdK3ixYvz6+7dSs09e3t7Pv64MnFxcW8zZCIjI5W6g2/C39//pX8DLl68yPLly9/42oKgTa+uvwDXJUnyBM7wfNSWLMt73mlUwmspW7Ysvr6+BAcH88MPP1C8eHHGjRtHly5dmDx5MjNnzqR27drs27ePOXPm8O233+Z5nWHDhhEaGkrv3r05c+YMdevWZcSIEYSHhxMeHo6trW2+cZQrV44///yTu3fv0rBhQ5ydnUlJSaF169ZZTZycOXOG48eP8+OPP1KuXDlGjx6Nu7s7HTt25OLFi3z33XeEh4dTu3ZtvL29SU1NxczMjICAADIzM+nWrRv3798X3V5FWNYHfLNmzXQcyZvx9PQEIDw8nKtXrzJhwoR/fU0rKyvUajVhYWG4uLhQpkwZxv/3v8yfN6/gM5PeoaFDh750X+3ataldu7YWoxGEN1eQpMcIkJ4/QJP4iKSnELlx4wYmJibMnj0bgHPnzjF06FDs7e2JjY1V/iA1adKEhQsX5jr/ZeO66tatC2hWmS7I+iJ37tyhYsWKlC5dmnPnzhEREYGJiYlSiwzg6NGjJCYmKvXOYmJilAGttWvXzrXqqpGREY8ePWL8+PGUKFGCpKQksbx/EZdfRfuibN68eZw5c4bMzEwGDx5M586dcXV1pX79+siyTFJSEsuWLSM1NRUPDw8sLCy4desWjRo1YsqUKcTHx/P777/Tt29fjkdEsGjhQhYtXIiLiwv6+vokJyczdOhQHBwcWLBgASdPniQtLY0vvvgCd3d3oqOjmTlzJqCpUThr1ixMTEyYN28ehw4d4sGDB+zZs4fOnTsDmv8XlyxZgpGREaVLl2bWrFlcvHiR0NBQFi9eDEDLli05evSoMh6vSpUqTJo0iWLFiqGvr8+8efO4fv26ck5wcDB79uwhPT0dU1NTfHx82LFjB7///jvJycncvHmT//znPzg5OREVFaW0ECUnJzN37tyX1koUhLfllV8hZFkeCCwEdgFL38UgZuHfkWUZb29vUlJSAM1CaKampujr62NhYUF0dDSgmSpsZWWFkZERDx8+JCMjgydPnnD79m2AHDXB4PXqkyUkJBAWFoaDgwPh4eGYmpqycOFCBg0aRHJyspJYffPNNwwYMABvb28AqlevzsmTJwFNM7m5ublyb7VazaFDh7h79y6LFi1i/PjxOa4lCIXFgQMHuH//PuvXr2fNmjX4+PgoY9IaNmzImjVraNq0Kb/88gug+aIyZ84cwsLC2Lt3L48ePcLX15fWrVsTEhLC3j176NmzJ/r6+mzcuJFNmzYxc+ZMMjIyANi6dSsLFy5k3bp1GBkZAfDdd9/x/fffExQURIsWLVi9erUS15QpU7C3t1fiUqvVTJkyheXLlxMcHEyTJk3w9fV95es8duwYdevWJSAggGHDhhEfH6/sy8zMJC4ujsDAQNatW0d6ejrnzp0DNH8f/Pz88PX1xd/fH4DLly8zf/581q5dS/v27dm9e/fb+4UIwku8sqVHkqRRQF8gEpggSdJGWZYXvPPIhALr3LkzMTExODs7U6JECdRqNd9++y2mpqbMmDGD6dOno1ar0dfXZ9asWZQvX56WLVvSq1cvqlatiqWlJQBVq1bl0qVLeS77npeIiAjc3d3R09MjIyODUaNGUa1aNTIyMhg/fjynTp3C2NgYS0vLHDXFnJ2d2b17N9u3b+fbb79lypQprF69mvT0dOWb6ieffMK3336Lr68vK1aswMXFBUNDQ6pUqUJsbCxVqlR56++joB3HjmnWVWnRooWOI3l7Ll26xPnz53F3dwcgIyODO3c0BSbr1KkDQKVKlZRK4paWlpQoUQLQtKSmpqZy6dIlTp48yfbt2wFISUkhPT2duXPn4unpSZ06dWjXrj1dunRh0aJFzJ8/n4cPH9K2bVtA0204depUQFPguHr16hgaGnL+/HmuXLlCbGwsZcqU4c6dO5ibm2NiYqJ0Ezdp0oRFixYp18ry4heMXr168dNPPzFkyBBMTU1zjBPS09PDwMBAaZW9d+8e6enpANSqVUt5D7JafitUqMDMmTMpUaIE9+/fp1GjRv/ytyAUVZIkGQPBaBY/fgp8JcvygxeOmQ+0QpO3+Muy/JMkSWWBS8D554dtkWV5aX73Kkj3Vl/gU1mW0yVJMgCOASLpKWSGDx/O8OHDc22vU6cOISEhubZ///33eV5n165duba1bt061zRze3t7jh8/nuc1atasqfzhzm7OnH/WtVy1apXyPCAgINex48aNU/6gbt68Oc/7FFaRkZE5ugh2797N8uXL8ff356OPPirQNe7cuUN0dDTt27cv8H1v377N+PHj2bhx4xvFrS1ZLYvvk2rVqtG8eXO8vb3JyMjghx9+oHLlykDeLaZ5batWrRqNGjWia9euPHjwgC1btnDv3j1MTEzIyMhg9Jgx/LB8OQYGBvTt25fg4GDUajWOjo589tlnWFtbM3/+fCpWrMiJEyd4/PgxAM2bN8fR0ZH169dTrVo1KleujLGxMQkJCcTGxmJhYUFUVJTSCvzggeaz5q+//srRkgOwf/9+GjduzDfffMOOHTtYuXIlX3zxBQDR0dHs27ePsLAwnj17hpOTk5I05fV6J0+ezL59+zAxMcHDw0O04H7YhgPnZFn2liSpDzAZGJO1U5KkdkANWZabS5JkhGbB5E1AI2C9LMujCnqjgiQ9KlmW0wFkWU6TJEkMqBCEAtq5cyerVq0iMDBQ6boriIiICK5evfpaSU9RkX3m4PuiU6dOREVF0bdvX5KSkujSpYvSklNQI0aMwMvLi/Xr15OYmMjo0aOxsLDg7t279OzZk+LFi7N06VJmz57DunXrWLduHT169KBt27ZUqFABb29vJkyYQEZGBnp6esyaNYuqVasSFRXFjBkzuHLlCubm5hw8eBDQTJkfNWoUKpWKUqVKMXv2bMzMzDA1NcXZ2Znq1asriVuWevXqMXHiRHx8fNDT02PSpElKN56lpSXGxsY4OTlhaGhI+fLlc7TwvqhHjx64uLhgZmaGubl5vscK771WwLznz3cBU17YfxxNRQjQjCvWB9KAxkAjSZJ+B2KB0bIs383vRgVZnHABYAUcBj4FrsmyPLGgr6SgxOKEwvsiq6WnTZs2yhpGpUqVQpZlZsyYAaAMHL1w4QI//fQTBgYG3L59m65duzJ06FC6detGcnIyU6ZMITAwEG9vb6pXr8769ev5+++/GTVqFCtWrGDfvn1kZGTg6upKq1atGD9+POvXr8fT05OaNWtSqlQprl+/joeHBxkZGXzxxRds3rwZQ0NR+LAoi4iIoHnz5gA4du3KlvBwZWyPIBQWeS1OKEnSYODF9RPuA9/IsnxRkiQ94KYsy5VfOIbnvU1rgbOyLM+WJKkHkCjL8j5JktyAL2VZ7pVfTAUZyDwBCAAMgNXvIuERhPfNyZMn2bhxI/Hx8crg0ylTpvC///2PoKAgWrduzcqVKwFNV5aPjw8bNmxg5cqV6OvrM3ToUD777DM6dOiQ5/UvXLjAoUOHCAsLIzQ0lCtXrigrY0+YMIGGDRsqydP+/fvJyMjg8OHD2Nvb6zzhOXLkCEeOHNFpDEVds2bNyMzMZPr06ez65ReKFy+eo8tYEAorWZZXybJcL/sDiAdMnx9iCuRaqEqSpDLAbuCCLMuzn28+APz2/PkW4JNX3f+VSY8kSd0B++eDl0dLktT5VecIwoeufPnyBAQE8NVXXzFx4kQyMzOJiYlh2rRpuLu7s3nzZqU538bGhmLFilGiRAmKFy+e73WzWmavXbuGra0t+vr6GBsbM3nyZFQqFbIs8/DhQ5KSkgAwMTGhSZMmHDlyhPDwcHr1yvdLkFbcu3cv19IEwutTqVRMnjyZp0+fUt/WliFDhqBSqZTZmoJQhBwFsmoYOaLpWVI8H+i8H03Dy/Rsu1YCPZ8/7wCcetWNCrLq1TQga7nN3oB3Ac4RhA+apaUlRkZG9OvXDwMDA3x9fbG2tmbu3LkEBQUxceJE2rRpA+Q9yDP78gGGhobK4NILFy4AmkGvFy5cIDMzk7S0NAYOHEhqaip169bF39+fbdu2KR9+Li4uhIWF8fDhQ2UWjS716tWrUCRf7wsTExPO/t//KdPDa9euTZOmTZXEVxCKAF+griRJR9DU+pwGIEnSPEmSmgLDgGrAfyRJOvj8YQ14AsMlSTr4/JgxeV49m4IMZE6TZTkWQJbleEmSMt7kFWWRJOlLNP17ff/NdQShqJg1axZffPEFAwYMUMbWgKbI5MsGb9rY2ODr60vdunXp378/33//PZUqVcLCwgLQfLB9+umnuLq6kpmZiaurq9JtVbx4cby9vfHw8CAsLIwGDRpw48YN3NzctPOCBZ2oV68emZmZ/Pjjj4wYMYKSJUsyd+5cJk6cWOgKmfr7+7N27Vr279+PkZER7u7uyri1gnqTc4TCSZblJMA5j+1Z5QOigMUvOb3d69yrIAOZfYByaEZPNwUey7L8RoVmJElaCnQB/pBluc8L+8RAZkF4B7KSolWrVmFiYqLrcPj9998BlJYu4e1LTk7ms+7d2b9vH6AZY9a4cWMdR/WP7t2707x5c2rVqoWTk5NIet5TRbXK+mhgI2AMbHzThOe5Y2jm4wuCoAW3bt3iyy+/pEePHoUi4QF4+PAhDx8+1HUY77XixYuzb+9eYmJiALCzs6OqpVWudXd0ITIykqpVq9KnT59ca4jdu3ePYcOGMXDgQL788kv2PU/aFi9eTO/evXF2ds61eOqBAwdwd3fnyZMnREVF0b9/f/r374+Li4tS500QshQk6TEB7NDU3jKQJKnGq06QJGmwJEnnX3g0kWV5A8+LlgqC8O5VqVKFrVu30rdv/r3J/v7+tGrVSillkl14eDgLFry99UidnJxwcnJ6a9cTXq5atWqo1WpCQ0O5dfMGpUuXxsPDI0e5GW0LCwvD2dmZatWqYWhoyP/93/8p+65evcrAgQMJCAhgypQpSlL088XNlB0AACAASURBVM8/s2DBAkJCQnIM9t+7dy8hISH4+flhZmYmSlsIr1SQpGc1cBWwAe4Br5wXmdeUNFmWT/zLWAVBeEe2b99O165d2blzp65DKdJeTB7d3d2V1pa8tG/fPs9E823r3bs3qamp9Onjyrx589DX1+e333579YlvWXx8PIcOHWLt2rUMHjyYhIQEgoODlf3ly5dnw4YNTJw4kdDQUKWMxaJFi1i0aBGDBw9WSnkAHD9+nLi4OKWAcVZpC09PTyIjI5XzBSFLQQYyl5NlebUkSf1kWT4mSVLhGhEnCMK/kr27YeLEicoYizJlyvDkyRO6desGwKNHjxgxYgRjxoyhfv36eHl58fTpUx4/foyzszN9+/bF3d2dWrVqcfnyZRISEli6dCnm5uaMGTOGhIQEkpOT6dixI5Ik8ddff+WqyP3XX3/lquKdVR+qKMiePBa21iwDAwPWr1/HokUL+eijj2jfvj3GxsbcuHGD8uXLayWGbdu20bNnTzw8PAB49uwZHTp0oEyZMgAsXboUZ2dn2rRpw+bNm9myZQupqans3r2bRYsWoVar6datm/JvcurUqWzbto1ly5YxYcIEUdpCeKWCJD1IklTr+X8rA/9q9pYgCIXLy7obunfvTqdOnQgPD+fhw4cMHz6c7777jgYNGvDnn3/SrVs3OnfuzP3793F3d1e60GxtbfHy8mLx4sXs3LmTdu3a8ffffxMYGMjDhw9Zv349cXFxSkVuPT09Bg8ezLlz54iOjqZu3bp4enpy8uRJ4uPji0zSk1fymOXevXt4e3uTkpJCXFwcI0eOpGPHjoDmg/uvv/6iXLlyzJ07l/T09JcmlJIkcfnyZUqUKIGdnR1HjhzhyZMnrF69Gn19/TzPe1GlSpVQq9Xs3r0bR0dHLCwsGDhoEP5+fkqLybsSFhbGvHnzlJ+NjY3p3LkzmzZpxrg6ODgwc+ZM/Pz8qFSpEo8fP8bQ0JBSpUrRo0cPSpUqRcuWLXPUsBs5ciTOzs60bdtWlLYQXqkg/8JHo1mRuTawCRjxb24oy/JB4OC/uYYgCG9HVnfDo0ePCAoKytHdYG1trRx3+PBhypcvr4wFMTc3Z82aNezZswcTE5Mc3QhZVcUrVqzI33//Tc2aNXFzc2P8+PGkp6fj7u5Ou3bt8PPzy1WRO78q3oVdQcaq2Nvbc/r0aXx8fJSkx9XVlYYNGzJv3jw2btxI48aN800oJ0+ezODBgylevDgBAQF4eHhw4sQJKlWq9NLz8uLg4EB6ejrjxo3Dx8eHgNWr+fnnn+nRo8c7e4+2bduWa5u3tzfe3t4AVK9enc8++yzXMd988w3ffPNNjm1BQUHK861btwKaAduTJk16ixEL75tXJj2yLJ8Hmj9fAjpdluWn7z4sQRC0Ib/uhuxru3zxxRd88cUXjBkzhrCwMFavXk3Dhg3p27cvERERyjT0vMiyTGJiIv7+/sTGxtKnTx8qVaqUZ0XuvKp4z549+6XXLizySx5BM1bF19eXTZs2oVKplCTRwMCAhg0bAtCoUSOOHj1Kly5dXppQ1q1bFwAzMzNq1KihPE9JSck3EX0ZfX19li1bhre3N5JUS6mYfvPmTapUqfJ23hxBKEReOpBZkqRGkiSdkSTJ4PmCgtHAyedlKQRBeA+EhYXl+Gaf1d1w48aNXMfWqFGDzz//nNmzZ9OuXTvWrl2Lq6sra9asQV9fn9TU1DzvYWVlRVRUFL169WLMmDF06NCBq1evKhW5Bw4cqFTkrlevHkuWLKFv376EhobSr1+/d/ba36as5HH16tWsWrWKjRs3cvToUR49egRoxqr06NGD+fPnY29vr4w1SUtL4+LFi4BmLZ2aNWsqCeWCBQtwcHAo8LiUNz0PoGzZsjx4EMvRo0cBqFq1Kp/36PHS36kgFFX5tfTMBL6SZTlNkqSZaOpiXEZT9n27NoITBOHdelV3A5BjbMrXX3+tPM9rOnD2LgdXV1fl+bJly5Tn27dvJyMjg7Vr1+YZ04YNGwoWfCHyJmNVQNPSExQUxI0bN/joo4/473//y6lTp/D29mb79u2ULl0634Qyu3bt2uV53usUmG3RogWZmZl8//33eHt7Y2RkREBAAAMGDHi9N0QQCqmXrsgsSdKvsix3kSTpI+C4LMuWz7cflmX507cdiFiRWRAEQbdu3brF/PnzuXfvHvr6+uz+9VfinidosixjY2PzVu4THh5OqVKl6NChw1u5nlA4FbUVmbP2OQD7ACRJMuKf8u+CIAjCe+LZs2cMHz6cgQMHsnHjRtavX8/vBw8q08MlSaJZ8+ZvpZCpk5OTSHgEncive2ufJElHgSrA55IkVUdTCbXotT0LglBo7NmzB4DOnTvrOBIhu99++41mzZrxySefKNtsbW3Zvn07d+/epWevXkQcP07JkiWZOnUq3t7eBAQEsHPnTooVK4adnR0TJ07Ex8eHM2fOkJSUxMyZM9m9ezf79u2jbNmyPHv2jDFjxhAVFYW5uTkuLi5MnTqVe/fu8fjxY1q3bp3VMiAI78RLkx5ZludKkrQNiJVl+WFW0iPL8hbthScIwvsmLS1N1yEIebh9+zZVq1ZVfh4+fDgJCQnExsZSsWJF5syeTdOmTWnZshXff/8933//PR06dGDXrl0UK1aMUaNGKas8V6tWjcmTJxMdHc3hw4fZtGkTaWlpdO+ecx7M3bt3adiwIc7OzqSkpIikR3jn8p2yLsvyxWzPY4CXr6cuCIJQAFndJULhUrFiRc6fP6/87OvrC4CLiwt//PEHfn5+rFy5kjp1amNtbUV4eDj79+9HqlWbP86cxs7OjsuXLwP/rPEUExND/fr10dfXR19fn3r16uW4Z+nSpTl37hwRERGYmJiI2WLCO1eQ2luCIAjCe65Dhw4cP36cP/74Q9l248YN7t27h62tLRMmTCAoKIhp06bh7OxMdHQ0TZs25drVGEqVKoWPjw+WlpYA6OlpPlpq1KjBuXPnyMzMJDU1lQsXLuS4Z3h4OKampixcuJBBgwaRnJwsSkcI79S7XXNcEAThBVlT3R0cHHQciZBdyZIl8fX1ZeHChSxYsID09HSKFSvG9OnTqVatmlJGIzk5GS8vLyRJYtiwYVSuXJnIyChOnz6Ng4MDo0ePxtzcHNAMfm7Tpg0uLi6UKVMGAwODHKUumjdvzvjx4zl16hTGxsZYWloSGxtbZEqPCEWPSHqec3Nz45tvvqF58+bKthkzZiBJEs7OzlqNJTg4uMgsyiYIwvujcuXKLF68OM99q1atyrVt4MCBDBw4EIC//vqLypUrs2zZMlYHBNCpUydUKhVmZmZs2rSJ1NRUunXrRqVKlRg1apRyje3bxbJvgvaI7q3nXFxclPotAKmpqfz22286GX+Q1ZeepX///pw9e1aJq3Hjxjn+APXr14/o6OjXukf2JfIBEhISaNGiBYmJiTm29+jRg+vXr+eqe5OfmTNncufOnZfuHzdunOi7/4A5ODiIVp730Mcff4xarWbHjh0kPH1K+fLl8Zw0ibNnz9KzZ0/69u2Ls7NzjmKhgqBtoqXnOQcHB5YsWcKzZ88wNjZm//79tGzZklu3bjFjxgxAM+hu1qxZXLhwgQULFmBgYICLiwurVq3Czs6OS5cuYW1tTbly5Th58iSGhob4+/vz7NkzJk6cSEJCAhkZGYwZM4bmzZvTvXt3mjZtiizLqFQqVqxYQXBwMPHx8TlWxW3VqhUnT57E1taWU6dO0apVKw4ePMjgwYNJSUnh7t271KpV67Ver6+vb47WJBMTE9q1a8evv/6qrMB7/vx5SpUqhZWVFcuXLy/wtb28vPLd/7JvkoIgFH3dunUjPT2dUaNGKV/gtm3blmvmliDogmjpec7IyIgOHTqwd+9eQDPArnfv3kyZMoX//e9/BAUF0bp1a1auXAlASkoK69at44svviAxMZHPPvuMkJAQTp48SaNGjQgJCSEtLY0rV67g6+tLixYtCAkJYenSpXh5eZGZmUliYiLdunUjODgYCwsLDh06xPDhwylVqlSOMgAtWrTg5MmTAPz+++84Ozvz9OlTnj59ypkzZ2jatCkAUVFRuLq60q9fPyZNmkRaWhrXrl2jT58+9OvXj6+++or79+/j6+urJFbZubi48PPPPys/b968md69ewPQsmVLANzd3Rk9ejQDBgwgKSmJ0aNH06dPH8aNG0erVq2UY2JiYvDx8cHDw4MhQ4bQtWtXDh8+DED79u1JSUnh0qVLDBo0iAEDBuDk5MTp06ff8m9VKIx27tzJzp07dR2G8A7p6+uzYsUKHjx4QOkyZfj8889RqVT89ddfug5N+MCJpCcbZ2dntm7dyv3793ny5Al169YlJiaGadOm4e7uzubNm4mNjQX+mZKZJXv14+rVqyvPU1JSiImJoUmTJgBUqFABExMTpRBhnTp1AKhUqRIpKSl5xlWnTh2uXr2KWq3mxIkTNG3alObNm3Ps2DGioqL49NNPUavVTJkyheXLlxMcHEyFChXYsmULx44do27dugQEBDBs2DDi4+PzTKwAGjRoQHx8PHfv3iU1NZVjx47RqVOnXPF0796dwMBAwsLCqFy5MqGhoXzzzTc8fPgw17GGhoasXLkSLy8vAgMDc+y7cuUKHh4eBAYGMnDgQMLDw/P79QjvCQMDAwwMDHQdhqAF5ubmPH70iEOHDgGaMUNOPXuK7m1BZ0T3VjaSJJGYmMjatWvp2bMnoElu5s6dy0cffcSpU6d48OAB8M+UzCwqleql161evTonT56kTp06SkJVunTpl5734pRNPT09atWqxaFDhyhfvjyGhoa0bt2agwcPEh0dTf/+/Xn06BGxsbHKwl7Jycm0bNmS4cOH89NPPzFkyBBMTU0ZN25cvu9Br1692LZtG5UrV6Z9+/Z5FivMvgZH69atlddYtmzZXMfWrl0b0KwB8uIfOgsLC1asWEHx4sVJTEzExMQk39iE94NYifnD8+mnn5KZmcnUqVOZMWMGRkZGrF27Fnd3d12HJnxgREvPC3r27ElYWJgygNnb2xsPDw/69u3LwoULkSTpta/59ddfExERgZubGyNGjOD777/PMW3zRdWrV2fChAk5trVs2RI/Pz8+/VRT67Vx48bKmhelS5emTJkyVKxYkRUrVhAUFMSwYcOwt7dn//79NG7cmDVr1uDg4KB0z71sLYzPP/+cffv2sX37dlxcXPI8JitRs7Gx4cyZMwDcvHlTqRyd17F5mTlzJqNHj2bu3LnY2NiI9TkE4T2mUqmYPn068fHx1LSxoX///qhUKmVBQ0HQBtHS8wJnZ+ccU9Tr1atHUFBQjmOsra2xt7dXfj5w4IDyfOPGjcrzFStW5Pk8r/OyJzkv3g8043omT57MvHnzAE23kampqdI9pqenh5eXF0OHDkWtVlOyZEnmzZtHYmKiUg9HT0+PSZMmAf8kVgsWLMhxn1KlSmFtbc3ff/+dqwvvRb169cLT0xM3Nzc++ugjjIyM8j3+RZ9//jkjRoygXLlyVKxYMc+kSXj/ZE1RFgNbP0xmZmZckmX++OMPPvnkE2xsbGjZqhV79+zB2NhY1+EJ7zlVYfl2LUlSLyBsyZIlODo66jocoQBOnz5NUlISrVq14vr16wwZMoR9+/bpOiyhkMv6N9KxY0cdRyLomlqtZunSpUq3++LFixkzZky+LcRC0bFr166sIRfOsixv0nU8ILq3hH+hSpUq+Pn50adPHyZMmMDUqVN1HZJQBHTs2FEkPAKg6fIaO3YsiYmJtGzVinHjxqGnp/fSSR053D8I61RwY0PO7b/YwvEBrx/MkT6aawrvNdG9Jbyx8uXL59kVJwiC8DpKlCjBkcOHOX78OL4/+uU5gSJPZrXgxnqw1CytQdw5SE/M/xzhgyaSHkEQtCpr5fMePXroOBKhsGnevHmOUkCvVLoBPL0EqXFgWBquBYOVGyTehPCK4HRPc9yRPlBzGCReh5jVQCbUnwZPoiFmJRSvBCma5UjITIOoYfD0suY42xlQoS3srAemNqBvBC3Xv90XLmiN6N4SBEGrzMzMMDMz03UYwvuiihPc2gJqNTyMAvMW+R9vWAY6HYGydiAvhc4R0GYrZD5fUiNmJRiZQ6dD0HornByp2Z6eAPWmiISniBMtPYIgaFW7du10HYLwPrHqC1HDwaQaWHz6koOyTdgxe77syJNoKFVX03IDUE6zsj1x5yD2MDyM1PycmQ4pD3OeKxRZoqVHEARBKLpMqkFGIlxaBlb/1BMkMw3SEiAjFeL//Ge7Su+f8+IvQPozyMyAR5o1xzCrBVau0PEgtN0FVZ01rUPZzxWKLPEbFARBq8LDw0XJEeHtqtobEm+Bmc0/26SxsKcZHOkFJS1zn1O8PNh+D3tbwEFHKFZSs73G1xAfDfvaaPaVtBTJzntEdG8JgqBV5cqV03UIwvugQlvNA0AapXkAfOSgeQDUn5L/NSx7/zPzK7sWa3Nv63H9DQMVChOR9AiCoFVt2rTRdQiCIHygRJudIAiCIAgfBJH0CIKgVZs2bWLTpkKxIr0gCB8Y0b0lCIJWVaxYUdchCILwgRJJjyAIWtWqVStdhyAIwgdKdG8JgiAIgvBBEC09giBo1caNGwFwcXHRcSSCIBQGkiQZA8GABfAU+EqW5QcvHLMNKAekAc9kWXaUJKkGEIhmye3zwEhZljPzu5do6REEQasqV65M5cqVdR2GIAiFx3DgnCzLnwJrgcl5HFMDaCXLcltZlh2fb1sETH5+ngp4ZRVjkfQIgqBVLVq0oEWLVxSFFAThQ9IK2P38+S6gY/adkiRVAEoD2yVJOiJJ0mfPdzUGfn/ZeXkR3VuCIAiCIGiFJEmDgXEvbL4PxD9//hQo9cJ+Q2AhsBQoCxyVJCkKUMmyrM7nvFxE0iMIglatX78eAFdXVx1HIgiCtsmyvApYlX2bJEnhgOnzH02BuBdOuwf8KMtyOhArSdIZQAKyj9/J67xcRPeWIAhaZW1tjbW1ta7DEASh8DgKdH3+3BE4/ML+jsBGAEmSTIB6wEXgjCRJbfM5LxfR0iMIglY1a9ZM1yHolL+/P8eOHUNPTw+VSsW4ceOoV6/ea10jLi6Ow4cP0717dzw9PenatSutW7d+6fGXL19m/vz5PHv2jKSkJNq0acOoUaNQqVRv/Dqy7gtw9+5devfOo3CnIBSML7BGkqQjQCrQF0CSpHnAJlmWd0mS1EWSpAg0rTvfybL8tyRJ/wV+kiTJEE0S9Mql3kXSIwiCoCVXrlzhwIEDrF+/HpVKxcWLF/Hw8GDbtm2vdR1Zljlw4ADdu3d/5bFPnjxh/Pjx+Pj4YGVlRUZGBmPGjCE0NPStdDHml2wJQkHIspwEOOex/dtsz8fmsf8S8FoVjEXSIwiCVoWEhADg5uam40i0r2zZsty5c4dNmzbRunVrateurdQhu3DhAtOnT0dfXx8jIyOmT59OZmYm48ePz7G20aJFi/jxxx+Jjo5mw4YNAGzYsIGVK1eSkJCAt7c3tra2yj3379+Pvb09VlZWAOjr6zN37lwMDAzIyMhg6tSp3Lt3j8ePH9O6dWvGjh2Lp6cncXFxxMXF4efnh6+vL6dOnQLgs88+46uvvlKuHx4eztWrV+nTpw///e9/qVixIrdu3aJ+/fpMmzaNe/fu4e3tTUpKCnFxcYwcOZKOHV85yUYQ3gkxpkcQBK2ysbHBxsZG12HoRNmyZfH19eX06dP07t0bBwcHfvvtNwAmT57M1KlTCQ4OxtXVlTlz5rz0OsOGDaNZs2ZKl1LdunVZu3Yt/fr1Izw8PMexsbGxVKlSJce2kiVLYmhoyN27d2nYsCGrVq1i/fr1yiBz0HRDhoaGcvr0aW7fvs3GjRtZt24dO3bsQJblPOO6fv06M2fOJCwsjEOHDvHgwQOuXr3KwIEDCQgIYMqUKUrSKwi6IFp6BEHQqiZNmug6BJ25ceMGJiYmzJ49G4Bz584xdOhQ7O3tiY2NpXbt2oDmPVq4cGGu89Vqda5toEl6AMzNzUlOTs6x76OPPuLChQs5tt26dYt79+5Ru3Ztzp07R0REBCYmJqSmpirHZA02j4mJwc7ODpVKhYGBAQ0aNCAmJibPOKpWrYqJiQkA5cuXJyUlhfLly+Pr68umTZtQqVSkp6e/8n0ShHdFtPQIgiBoiSzLSlcPaBILU1NT9PX1sbCwIDo6GoATJ05gZWWFkZERDx8+JCMjgydPnnD79m0A9PT0yMz8Z7ZufgOS27Vrx+HDh7l58yYAaWlpzJkzh0uXLhEeHo6pqSkLFy5k0KBBJCcnK4lV1jWrV6+udG2lpaVx5swZLC0t87xXXnEsXbqUHj16MH/+fOzt7V+auAmCNoiWHkEQtGrt2rUA9O/fX8eRaF/nzp2JiYnB2dmZEiVKoFar+fbbbzE1NWXGjBlMnz4dtVqNvr4+s2bNonz58rRs2ZJevXpRtWpVJdmoWrUqly5dIjAw8JX3NDExYc6cOUyePBm1Wk1iYiLt2rWjb9++XLlyhfHjx3Pq1CmMjY2xtLQkNjY2x/nt2rUjKiqK3r17k5aWhoODg9KyVBAODg7MnDkTPz8/KlWqxOPHj1/rPROEt0mlraxbkqRSaAqKmaFZXXG8LMvHs+3vBYQtWbIER0fHl1xFEISiLqvVoHHjxjqORBCEd2nXrl2MHTsWwFmW5VdOJ9cGbbb0jAf2y7K8RJIkCVgPNNLi/QVBKAREsiMIgq5oM+lZDKRku29yPscKgiAIgiC8Ve8k6XlJQbGBsiyfkCSpIppurlwLDQmC8P7LGocyYMAAncYhCMKH550kPXkVFAOQJKk+EApMkGX591wnCoLw3mvYsKGuQxAE4QOlte4tSZLqAGFAb1mW/09b9xUEoXARSY8gCLqizTE9s4HiwFLNOGbiZVnuocX7C4JQCGRkZACacgiCIAjapLWkRyQ4giAABAUFAWJMjyAI2icWJxQEQasaNRIrVQiCoBuiDIUgCFpla2ubowp4URQZGYmdnR13795Vti1YsCBXsc/8bNiwgbS0NCIjIxk37sXJrjmlpKQwd+5c+vbti5ubG//5z39y3PtNZL/vN99886+uJQhFhUh6BEHQqrS0NNLS0nQdxr9mYGDApEmT3riWlJ+fX476WfmZOXMmFSpUYN26dYSEhODi4pK10u1bsXz58rd2LUEozET3liAIWhUSEgIU/TE9zZo1IzMzk5CQEPr165dj3+rVq9m5cyfFihXDzs6OiRMn4uPjw5kzZ0hKSqJ79+48ePCAcePG8dVXX3Hjxg2GDBnCo0ePaNeuHaNGjVKulZqayoEDB5g2bZqyrVOnTtjZ2QGwe/du5T0FTYHPy5cvs2DBAgwMDHBxcaF8+fIsWbIEIyMjSpcuzaxZs3LE27JlS44ePYq7uzu1atXi8uXLJCQksHTpUj7++GMWLlzI+fPnSUxMpHr16kqVeEEoakRLjyAIWmVnZ6d8YBd13t7eBAYGcv36dWWbLMvs2rWL0NBQQkNDuXHjBr/99hsA1apVIzQ0FDc3N8qXL8/ixYsBTffVihUrCAkJITg4OMc94uLiMDc3z1XBvEyZMgBcv34df39/goKCsLa25siRI8o1161bR48ePZgyZQrLly8nODiYJk2a4Ovr+9LXZGtrS2BgIC1btmTnzp0kJCRgZmZGQEAAoaGh/PHHH9y/f/9fv3eCoAsi6REEQavq1atHvXr1dB3GW1GmTBm+++47PD09la6qq1ev0qBBAwwMDFCpVNjZ2XH58mUArK2t87xOzZo1MTQ0xNjYmGLFcjbAlylThidPnuTqRtu+fTtpaWmUK1cODw8PJk2ahCzLpKen57jX48ePMTExoUKFCgA0adJEiScvderUAaBixYqkpKRgZGTEo0ePGD9+PFOnTiUpKem96J4UPkwi6REEQauSk5NJTn5/Su+1b98ea2trtmzZAmhac86ePUt6ejpqtZoTJ04oCYie3j9/clUqlZIovdiKk52BgQGtWrVSpvqDpktrzZo1JCcns2zZMhYvXsyMGTMwMjJSkqOse5UpU4aEhARiY2MBiIqKwsrKqsCv79ChQ9y9e5dFixYxfvx4kpOT33gckyDomhjTIwiCVoWGhgJFf0xPdl5eXkRERAAgSRKOjo64urqSmZlJ48aN6dixI9HR0TnOsbOzY+jQoYwcOfKV1580aRKzZ8+mT58+AJQqVQofHx9MTExo1KgRX375JSVKlMDMzIzY2FgqV66snKtSqZgxYwajRo1CpVJRqlQpZs+enW9rT3a2trasWLECFxcXDA0NqVKlCrGxsVSpUqWgb48gFBqqwpKxS5LUCwhbsmQJjo6Oug5HEIR35OLFiwDUrl1bx5EIgvAu7dq1K2uWobMsy5t0HQ+Ilh5BELRMJDuCIOiKGNMjCIJWJSUlkZSUpOsw/pXIyEgkSeKXX37Jsb179+54enq+9mJ/4eHh7N+//7XOeZMFBWfOnMmdO3de+zxBeF+Ilh5BELRq48aNQNEf01OtWjV27NhB165dAc1U9WfPngGvv9ifk5PTa9//TRYU9PLyeu1zBOF9IpIeQRC0qnnz5roO4a2oVasW169f58mTJ5iZmbFt2za6d+/O3bt3lcX+QkJC+Pnnn9HT06NRo0Z4eHiwZ88efvrpJ4oVK8bHH3/MvHnz+OGHHzA3N6dLly6MHTsWtVpNWloa06ZNw8rKijFjxpCQkEBycjITJ07E3t4+x4KC1tbWXLt2DbVazeLFi7l69So//vgjenp6PHjwgN69e+Pm5oa7uzve3t5Ur15d12+fIOiE6N4SBEGrJElCkiRdh/FWdOrUib1796JWqzl79iyffPJJjv3h4eF4eXmxYcMGqlSpQnp6Ojt27GDAgAGsX7+eVq1akZCQoBx/9uxZTE1N+emnn5g8eTIJCQncvHmTv//+mx9//JGFv0DqiwAAD5xJREFUCxfmOd2/UaNGBAUF4ejoiJ+fHwD379/H19eXjRs3EhgYyMOHD9/tmyEIRYBIegRB0KqEhIQcH/RFWffu3fnll184ceJEnqtMz549m9DQUPr168edO3dQq9VMmjSJEydO0K9fP06fPp1j7Z7WrVvTpEkTRowYwbJly9DT06NmzZq4ubkxfvx4pk2blme9rmbNmgGa5OfatWsAfPLJJxgaGlK8eHFq1qzJzZs339G7IAhFh0h6BEHQqk2bNrFpU6GYvfqvValShaSkJIKCgvj8889z7d+4cSPTpk0jODiYixcvcubMGTZs2MCoUaOUchN79+5Vjo+MjMTCwoLVq1czfPhwFi1ahCzLJCYm4u/vz5w5c5g+fXqu+5w/fx6A06dPU6NGDUCzNEBGRgbPnj3jypUrWFpavou3QBCKFDGmRxAErWrVqpWuQ3irunbtytatW7G2tubWrVs59kmSRK9evShTpgwVKlSgQYMGJCQkMHDgQEqXLk3JkiVp27atkgDVqlWLcePGsWbNGvT09Bg5ciRWVlb88MMP/PzzzxgYGDB69OhcMWzZsoXAwECMjY2ZN28ely5dIj09nf/85z/ExcUxfPhwypYtq5X3QxAKM7E4oSAIQhGW1+DkyMhIQkNDlYKmgqALhXFxQtG9JQiCVsXHxxMfH6/rMARB+ACJ7i1BELQqqzBnUV+np7DIXog0i729Pfb29jqIRhAKN5H0CIKgVa1bt9Z1CIIgfKBE0iMIglZVq1ZN1yEIgvCBEmN6BEHQqsePH/P48WNdhyEIwgdIJD2CIGjV1q1b2bp1q67DEAThAyS6twRB0Kq2bdvqOgRBED5QIukRBEGrrKysdB2CIAgfKJH0CIKgVX///TcA5ubmOo5EEITCQJIkYyAYsACeAl/Jsvwg234HwPP5jyqgFVAPMAa2A5ef7/OVZXlDfvcSSY8gCFq1Y8cOQKzTIwiCYjhwTpZlb0mS+gCTgTFZO2VZ3g3sBpAkaSJw9P/bu/8grar7juNvJSBBkWoopSEYa+x8wQLq2NgaQQ0ODRLihlYtlWChBhKm0xYZo1K1sW1+mYzR/DK/xLhNy+ho/VVF2p1FRAQxChRR/LRIcShx1dCQ+CtQf/SPexYf191nwbL3XOZ+XjPOPvc8997z2Wdmeb6ec+89kjZFxKeBr0u6Zm87ctFjZqU688wzc0cws2oZD3w1vb4PuLK7nSLiA8BM4MOp6aSiOVooRnvmS3qxWUcuesysVCNHjswdwcwyiYgLgYu6ND8HdK5N8yIwpIfDFwDXStqVth8BbpD0WERcDnweuLhZ/y56zKxUzz//PADDhg3LnMTMyiZpEbCosS0ibgcGp83BwM6ux0XEwcBU4PKG5jskde57B/Ct3vr3c3rMrFRLlixhyZIluWOYWXU8BExJr88CHuxmnzHAU5JebWj714g4Ob0+E3ist4480mNmpZo0aVLuCGZWLd8FWiNiJbAbOB8gIr4K3CbpESCALV2Omwd8OyJ2Ax3A3N46ctFjZqUaMWJE7ghmViGSXgHO7ab9kobXtwK3dnl/LfCRfenL01tmVqqOjg46OjpyxzCzGnLRY2alWrp0KUuXLs0dw8xqyNNbZlaqyZMn545gZjXlosfMSjV8+PDcEcyspjy9ZWal2r59O9u3b88dw8xqyEWPmZWqra2Ntra23DHMrIY8vWVmpZoyZUrvO5mZ9QEXPWZWKi8/YWa5eHrLzEq1bds2tm3bljuGmdWQix4zK1V7ezvt7e25Y5hZDXl6y8xKNXXq1NwRzKymXPSYWamGDh2aO4KZ1ZSnt8ysVFu3bmXr1q25Y5hZDZU20hMRhwKLgSOBl4GZkl4oq38zq4bly5cDMGvWrKw5zKx+yhzpmQM8JmkCcDNwRYl9m1lFtLS00NLSkjuGmdVQaSM9kq6LiH5p8yjgubL6NrPqOOKII3JHMLOa6pOiJyIuBC7q0jxb0k8iYhkwFpjUF32bWbVt2bIFgGOOOSZzEjOrmz4peiQtAhb18N7EiBgF3At8qC/6N7PqWrFiBeCix8zKV+aFzAuB/5b0Y4oLmV8vq28zq45p06bljmBmNVXmc3puBFrT1Fc/YHaJfZtZRQwZMiR3BDOrqTIvZH4OmFxWf2ZWTZs3bwbg2GOPzZzEzOrGT2Q2s1KtXLkScNFjZuVz0WNmpTrnnHNyRzCzmnLRY2alOuyww3JHMLOa8tpbZlYqSUjKHcPMasgjPWZWqtWrVwMQEZmTmFnduOgxs1Kdd955uSOYWU256DGzUg0aNCh3BDOrKV/TY2al2rRpE5s2bcodw8xqyCM9ZlaqNWvWADB69OjMScysblz0mFmppk+fnjuCmdWUix4zK9XAgQNzRzCzmvI1PWZWqo0bN7Jx48bcMcyshjzSY2alevTRRwEYM2ZM5iRmVjcuesysVDNmzMgdwcxqykWPmZWqf//+uSOYWU35mh4zK9WGDRvYsGFD7hhmVkMe6TGzUq1duxaAcePGZU5iZnXjosfMSjVz5szcEcysplz0mFmp+vXrlzuCmdWUix4zK9X69esBOOGEEzInMbMqiYhpwLmSzu/mvTnAZ4DXgC9IuicihgKLgfcCPwVmS3qlWR9VKnoGAKxbty53DjPrQ/fffz8Azz77bOYkZtaXGr7PB/S2b0R8A/gYsL6b94YDfwn8LjAQWBkRbcDfAIsl3RQRl1EURdc266dKRc+JAK2trbS2tubOYmZ97K677sodwczKcSLFiEwzq4A7KQqXrk4GHpK0C9gVEZuBccB44Etpn/vS6wOm6PlK+rkO2J0ziJmZmf2/DaAoeDq/34mIC4GLuuw3W9ItEXFGD+c5HPhFw/aLwJAu7Z1tTVWm6JG0A/hc7hxmZma237xthEfSImDRPp7jl8Dghu3BwM6G9lcb2prywwnNzMysyh4BJkTEwIgYAowGNgIPAVPSPmcBD/Z2Ihc9ZmZmVjkRsSAizpbUAXyToqhZBlwu6VfAF4DpEfEQcArw7d7OedCbb77Zl5kPaBFxKMXQ3JHAy8BMSS/kTVUdqeL+R4p51QHAAkmr86aqlma3YNZRRBwMXA8cD+wCPi1pc95U1RIRvwdcLemM3FmqJCL6AzcCRwOHUNy2fHfWUBUSEf2AHwIBvE5xnczTeVNVj0d6mpsDPCZpAnAzcEXmPFWzAGiXdDowC/hO3jjVkm7B/DL+O2v0SWCgpFOAy4BrMueplIi4BLiB4rZce7tPATvSv8dnsRf/V18znwCQdCrFrdxfzxunmvyPcROSrgO+mDaPAp7LGKeKrgW+n16/B/hVxixVtAqYlztExYwHlgJIepjiuRv2lqeBP8wdoqJuBa5s2H4tV5AqknQnMDdtfhB/X3WrMndv5dbkNrqfRMQyYCwwqfxk1dDL5zOcYpprfvnJ8nuXt2DWVddbT1+PiPdI8hcYIOmfI+Lo3DmqSNJLABExGLgNj7y/g6TXIqIVmAackztPFbnoSZrdRidpYkSMAu4FPlRqsIro6fOJiLEUU38XS3qg9GAV8C5vwayrrreeHuyCx/ZWRIwE7gCul9Tbw+5qSdKfRsSlwJqIOE7Sy7kzVYmnt5qIiIUR0bkk9MsUF4dZEhHHUQw5ny/pvtx57ICw5xbTiPh94PG8cexAERG/AfwbcKmkG3PnqZqImBkRC9PmK8Ab+DvrHTzS09yNQGuavugHzM6cp2q+THHB5TciAuAXklryRrKKuwOYFBGrgIPw35Ttvb8GjgCujIjOa3vOkvRqxkxVcjvwo4hYAfQH5qfbuq2Bb1k3MzOzWvD0lpmZmdWCix4zMzOrBRc9ZmZmVgsueszMzKwWXPSYmZlZLfiWdbMKSU/j3QCsbWheBtwNnC3p7/biHEcCk7s+vC0ilgODKJ45BcUzPC6Q9NMu+92c2nfvQ+7bJe3T8gkRcRNws6SlXdo/CfwVxS3t7wW+Jum2fTl3ThFxFHC8pH/JncXM3s5Fj1n1PNnDCtvr9/L4ccDZQHdPrL1A0lMAETEPuJhi4dg9JE3f+6h7jtkv60VFxEcolvT4uKSXIuJ9wMMR8aSkJ/dHHyWYCIwCXPSYVYyLHrMDQFrD67OSpkfEM8BTwCZgBXAp8L/AVuAC4HLg+IiYK+kHTU57JPBSOvfVwG7gB8DfU3xpfw/YBRwN/CYwS9La9LDOeRQP7LxL0lUR0SFpeBpNeiodfxDwx8ALFAvTjgTeB9wnqXHhyEZzgOs611mStCMiTgZ2RsSvUazxdjjFv11XSFoWEY+nz2EsIIqFFk9L2aekz2MUMIzi4XZ/IWllRMygWC9uF/CfFIs1zkjHDKJYcuZqSTel5Va+mX6nHcCfASemz3438FvALcBXKFaPHxQRqyTd3eTzN7OS+Zoes+o5LiKWN/w3osv7IymW/pgP/AlwraTxFI/oPxz4IrCsh4LnH9I5lwEfAL6W2gdKmiDpx132f0bSx4BvAXMjYhjFl/oE4CRgSEQc1uWYVWmk6haKp+iOBB5O5xlP85Xn3w9saWyQ9HNJb1IsMNkm6TTgXGBRRBxMsZbX4tQ+IfV/GjAA+J10mlckTQQ+BXwnjSD9LTAxfXY7gc+kfYdImkoxWnZZavsh8Ofp91oCXJLaPwj8EXAKcImk1ykKn8UueMyqxyM9ZtXzjumtiPjths2fSdqRXi8AFqapqk3Anb2ce8/0VsO5oRgh6c669HMbcCpwDLCx4dH/FzWco9Oy9HMV0AL8D/DhiPgoxYKjhzTJ9wxFkfTvDflOpRi9GQ38E4Ck7RHxS+DX026d10DtBDqnwX5OsUzKnkySnoiI4en3eELSi+n9FcAfAGt4axpxW8Pxo4Hr0+/ZH/iP1P54WjD1tYjwcghmFeeRHrMDzxsNr+cCV0k6nWLqZVp6f1//tt/oob3rOjVPA6Mi4hCAiLitm5Gok9LPU4EngFnATkkzgGsopn4O6qG/HwGfi4hD0/mHpbZBFEXdhNQ+gmKqqrP46209nZPScWOA7cB/UYyoHZreP523CpnuziWKgvEMilGee5vs+24+fzMrgf8wzQ5sjwBtabpqOHAPRWEyNiLm7+/OJL1Acf3PAxGxGlgraXuX3WZFxAPAxymm2tqBKWmR0e9SXD/z/h7Ov5riuqK2dI57gIWSNgBfAiamBRXvBOamUZa9cWJEtAM3AHMk/Qz4PHB/RDwMDE3ZejKPYmrwQYrpqw1N9n0caImIfb4g3Mz6lhccNbP9Jl3I/NmuU2g5RcRVQIek7+XOYmZ5eaTHzMzMasEjPWZmZlYLHukxMzOzWnDRY2ZmZrXgosfMzMxqwUWPmZmZ1YKLHjMzM6uF/wP0iNS2n8J8ZAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112a4db70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig , ax1 = plt.subplots(figsize=(9,7))\n",
    "\n",
    "ax1.set_xlim(-3.5,3.5)\n",
    "ax1.set_ylim(-3.5,3.5)\n",
    "\n",
    "# Plot Principal Components 1 and 2\n",
    "for i in df_plot.index:\n",
    "    ax1.annotate(i, (df_plot.PC1.loc[i], -df_plot.PC2.loc[i]), ha='center')\n",
    "\n",
    "# Plot reference lines\n",
    "ax1.hlines(0,-3.5,3.5, linestyles='dotted', colors='grey')\n",
    "ax1.vlines(0,-3.5,3.5, linestyles='dotted', colors='grey')\n",
    "\n",
    "ax1.set_xlabel('First Principal Component')\n",
    "ax1.set_ylabel('Second Principal Component')\n",
    "    \n",
    "# Plot Principal Component loading vectors, using a second y-axis.\n",
    "ax2 = ax1.twinx().twiny() \n",
    "\n",
    "ax2.set_ylim(-1,1)\n",
    "ax2.set_xlim(-1,1)\n",
    "ax2.tick_params(axis='y', colors='orange')\n",
    "ax2.set_xlabel('Principal Component loading vectors', color='orange')\n",
    "\n",
    "# Plot labels for vectors. Variable 'a' is a small offset parameter to separate arrow tip and text.\n",
    "a = 1.07  \n",
    "for i in pca_loadings[['V1', 'V2']].index:\n",
    "    ax2.annotate(i, (pca_loadings.V1.loc[i]*a, -pca_loadings.V2.loc[i]*a), color='orange')\n",
    "\n",
    "# Plot vectors\n",
    "ax2.arrow(0,0,pca_loadings.V1[0], -pca_loadings.V2[0])\n",
    "ax2.arrow(0,0,pca_loadings.V1[1], -pca_loadings.V2[1])\n",
    "ax2.arrow(0,0,pca_loadings.V1[2], -pca_loadings.V2[2])\n",
    "ax2.arrow(0,0,pca_loadings.V1[3], -pca_loadings.V2[3]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1.5908673 ,  1.00496987,  0.6031915 ,  0.4206774 ])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Standard deviation of the four principal components\n",
    "np.sqrt(pca.explained_variance_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 2.53085875,  1.00996444,  0.36383998,  0.17696948])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.explained_variance_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.62006039,  0.24744129,  0.0891408 ,  0.04335752])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.explained_variance_ratio_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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sXXHoBI11c2H/Xmd/eJwzyupy/cGRV3wdzSyUSknFTCQQFBZ6ZxbOPni4cO0cyNnu7A+JgKTWkP73gxM0qjestAs1ihxOxUykItq79dBDhWtnO410wZlZWLv5oYcKazU7/pmFIpWAipmI23J3HexZWFS8tq8+uD+xCTQ4/eCIK6mV+hKKHEbFTKQ87c9xZhYWP8+1yQLeWcXxdSG1HXS43ClcyW0hIs7VyCKBQMVMxF/y85yZhYf0LFx4cGZhdE1ntNWin3dKfDvNLBQ5TipmIidC0czC4ocK188rNrMw3plZ2PWfB3sWxqdpZqHICaJiJnKsCgthZ9ah/QrXzoEcbzuykEinZ2H6pQcnaFRvoJmFIn6kYiZyNHu2HHqoMGv2wVZpQSFOj8KiQ4Wp6VCzGQTrv5ZIedL/OJHicnfB2t8PLV7bixaL9DgzCxudefBQYVIrCI1wNbKIqJhJVbY/B9bP9x4m9BavzUs4MLMwoa5TsDpe6dwmt9HMQpEKSsVMqob8PNi06NBDhRsXQoF3jbjoWs4hwpYDvOe52kF0oruZRcRnKmYSmMY0Ln2Jn39bb8/CYocK182DvGznOQdmFt5w8DxXXKpmFooEMBUzCUwlFbKi7aPrQW7xmYVtoMNlBwtXtfqaWShSyaiYSeXTsv/BKfE1m2pmoUgVoP/lEni2/1n2/vP/r3xyiEiFoWImgWPfHpj6JEx9yu0kIlLB6MSBVHyFhTDvXXi6A/wwGkwftxOJSAWjkZlUbJm/weTbIXOm00F+4Hg4qQus+rn02YwiUuWomEnFtHMtfH0/zJsIMbXhwmehzdCDsxBvXepuPhGpUFTMpGLZnw3TnoGf/+dc0HzKTdD93xAe63YyEanAVMykYigshAWT4Kv7YMcaaHY+nP1fqF7f7WQiEgBUzMR9a+fA5DthzXSo3Qr6fgr1u7udSkQCiIqZuGfXBvjmP/D7BIiqAef9H6T/HYKC3U4mIgFGxUzK3/4cmDEWfnoc8nKd1ZdPvRUi4t1OJiIBSsVMyk9hISz6BKaMhO2rwZwDPR+AGg3dTiYiAU7FTMrH+vnOebFVPzkrMQ+bBA17uJ1KRCoJFTPxr92b4LsHYPbrEJEA5zwG7S9T818ROaH0E0X8I28f/Po8/PAo7N8LJw+H02+HyGpuJxORSsgvxcwYEwSMBdoAucCV1tplxfbfAgwBCoCHrLWT/JFDXFBYCEsmw5d3w9bl0Ohs6PUQ1GzidjIRqcT8NTLrC0RYa7sYYzoDjwMXAhhjEoB/AY2AaOB3QMWsMti4yDkvtuI7SGwCF78Pjc92O5WIVAH+KmanAJMBrLUzjDEdiu3bA6zGKWTROKMzCWR7t8J3D8Gs8RAeA70fgY5XQnCo28lEpIootZgZY+qWts9au+Yo7xsH7Cj2ON8YE2KtzfM+/hNYCAQDD/uYVSqa/P0w8yX4/mHI3QUdLofT74LoGm4nE5EqpqyR2Tve2xpALPAH0BzYAKQf5X13el9TJKhYIesDJANFTfe+NMZMtdb+eizBxWVLv4Iv74LNS6DB6dDrYajd3O1UIlJFlbo4p7W2i7W2C7AAaGKtPRtoAmT68L5TgXMAvOfM5hfbtw3IBnKttTnAdiDh+OJLudu0BN4cCBMGOl3th0yEYR+qkImIq3w5Z5Zmrd0FYK3dY4xJ8eE1k4CzjTHTAA9wmTHmZmCZtfZjY8xZwAxjTAHwM/DVceaX8pK9Db4fDTNfhNAop3PHycMhJMztZCIiPhWzKcaYH4BZwMnAG0d7gbW2ALjmsM2Li+2/D7jvGHKKW/Lz4LdX4LsHIXs7tL8UzhgJMTXdTiYicsBRi5m19m5jTAugBfC6tXau/2NJhbD8W5h8F2xaBPW6Q++HIamV26lERI5w1GJmjEkF7gRqAu8bYyKstb/4PZm4Z8ty56LnJV9Awkkw+A1nsUyPx+1kIiIl8uUw4ws4Fz3fA/wIvAZ09mcocUnODqf91C/PQ0g4nHkfdL4OQiPcTiYiUqZSZzMWE2Gt/RYotNZaIMfPmaS8FeTDrFfgqXSY/iy0/hvc8Bt0v1mFTEQCgi8js1xjTC8g2DvNXsWsMln5k9OCasN8qNMZLnkfUtq5nUpE5Jj4UsyuBh4DEoFbgGv9mkjKx9aV8NU9zmKZ8XVg4Hho0V/nxUQkIPkymzETuKgcskh5yN0FPz3uHE4MCnGm2Xf9J4RGup1MROS4+TKb8S7gNmAvzgXQhdZaXy6cloqkoADmvgXf/Ad2b4DWF8FZ90Gc/ipFJPD5cphxMJBird3r7zDiJ6unw+TbYd1cSOsIF70FaR2O/joRkQDhSzFbhdNLUQLN9jXw1b2wYBLEpkD/F6HVIJ0XE5FKx5diFgbMN8YUNQsutNYO9WMm+av27YGfn4BpTzuPT7sduo2AsGh3c4mI+IkvxWy031PIiVFQAPPfha9Hwa510HIgnDUKEuq4HExExL/KWpzzPGvtp4ApYfcP/oskx+XPmTD5Dsia5VwnNug1qNvJ7VQiIuWirJFZ0XLByYdtL/RTFjkeO7Kckdj8dyEmCfqOc2YqBvnS3EVEpHIotZhZa1/z3t5vjEkGQnGm5msud0Wwb69zTmzq/zntqLr/G065GcJj3E4mIlLufLnO7GWgCxANRAIrUKNh9xQWwh8fwFf3wc5MaH4hnP0fqFbP7WQiIq7x5VhUM5y1zL4EmqPejO7J+g3G94IProCoavCPz2Dw6ypkIlLl+VLMdllrC4Foa+1mnKn6Up52roNJ18KLPWDrCjj/Kbj6B6h3itvJREQqBF+m5v9mjLkFWGuMmejja+RE2J8D05+Bn/4H+fug67/g1FshIs7tZCIiFYovjYbvMsbE4Bxe7ANolWl/KyyEhR85Xe23rwFzLvT8L9Ro6HYyEZEKqazrzB6m5Gn4XYC7/Jaoqls311lfbPVUqNUc/v4RNDjd7VQiIhVaWSOzxeWWQmD3Rvj2vzD7DYisBuf+D9IvhWAd1RUROZqjXmdmjIkChgNNgAXA8+UTrYrIy4VfnoMfxkBeNnS+Dk67DSIT3E4mIhIwfPm1/y2cUdpkoBvwCnCJP0NVCYWFsPgzmDIStq2Exr2g14OQ2NjtZCIiAceXYlbDWnuH9/5Hxpif/BmoStiwwDkvtvIHSDRwyQfQ6Cy3U4mIBCxfitkCY0w3a+1UY0wrYLUxJhTwWGv3+Tlf5bJnM3z3IPz2KoTHQZ9HocPlEBzqdjIRkYDmSzHrDvQyxuzj4AXTS3BmOjbwV7BKJW8fzHwRvh8N+3ZDxyvh9DshqrrbyUREKgVfilkna+3uogfGmDrW2j/9mKnyKCyEpVPgy7tgyzJo2AN6PQS1mrmdTESkUvGlndXP3sOLGGMGAFP8G6mS2LgY3hwAbw12itqQd+CSDBUyERE/8GVkNhR42RizAcgDTvVvpAC3dyt8/wjMfAnCYqDng3Dy1RCilpYiIv7iSzHzeG/DgX04BU0Ol58Hs8bD9w9Bzg7nguceIyE60e1kIiKVni/F7F3gUmvtLGPMQOBnnCVhpMiyb5zzYpsWQ/1TodfDkNTS7VQiIlWGL8Wss7V2F4C19n1jzK9+zhQ4Ni+DKXfDkslQrT78bQI0PRc8nqO/VkRETphSJ4AYY54EsNbuMsZcXGzXk35PVdFlb4fJd8HYTrBqKpx1P1z/CzQ7T4VMRMQFZY3MWhW7fwUwwXu/6jYNLMh3Lnj+7kFnoke7S+DMeyGmltvJRESqtLKKmaeU+yUtC1P5rfjBaUG1cQGc1A16PwzJbdxOJSIilF3MCku5X7VsWQ5f3QuLP4WEujDoNWh+oQ4niohUIGUVs4bGmIdwRmXF71eNFlY5O+HHMc7yLEGh0OMe6PJPCI1wO5mIiBymrGJ2byn37/NTloqhIB/mvOkslLlnE7QZ6pwXi0t2O5mIiJTiqItzVlpjGsOejUduDwqBgjyo0wmGvgOp7cs/m4iIHBNfrjOrnEoqZOAUsgEvQ8sBOi8mIhIgqm4xK0urgW4nEBGRY3DUYmaMiQVuB5KBz4B51tpl/g4mIiLiK1+WgBkPrACaAOuBl/2aqALIyy9wO4KIiBwDXw4z1rDWjjfGXGKtnWaMOeqJJGNMEDAWaAPkAlcWH80ZY/pwcFbkbOB6a22FuZbtqtdn8czQdKLDdRRWRCQQ+DIywxjT1HubBuT78JK+QIS1tgtwB/B4sfeKBcYA51lrOwOrgPJfJyW65BZU2WE1+HHpZgY9N531O3LKOZSIiBwPX4Ye/wJeAZoB7wPX+fCaU4DJANbaGcaYDsX2dQXmA48bYxoAL1lrNx1T6hPh1qUlbo4EXrYbuX7CbPqNncrLl3akeUpc+WYTEZFj4svIbClwnbU2AXgEpxAdTRywo9jjfGNMUeFMBM7AmVTSB7jRGNPE98j+d7qpxXvXdKWwEAY9N43vbSnT+EVEpELwpZhNADp57zcBfLmYeicQW/xzrLVFK1RvAWZaa9dba3cDPwJtfcxbbpqnxPHh9d04qUY0V7w2i7d+WeN2JBERKYUvxSzVWvscgLX2UZwp+kczFTgHwBjTmUNHc78BLY0xid7RWmdg4TGlLidJ8RG8e00XTm2cyF2T5vPwF4soKKgw81RERMTL1wkgTby3DYFgH14yCcgxxkwDngBuMsbcbIy5wHt+7E7gS+AXIMNa+8dxpS8HMeEhvPj3DlzSuS7P/7CCG96eQ85+X+bAiIhIefFlAsiNwLvGmNpAFnDN0V5grS0o4XmLi+2fCEw8hpyuCgkO4r8XtuSk6tE89MUi1u3I5sW/d6BGTLjb0UREBB+KmbX2FyrgOa3y5vF4uOrUBqRVi+TGd36n39hpvHJZRxrWjHE7mohIledLO6u/41wrdmAhL2tt1VjTrAR9WiVTOz6Cq16bRf+x03hhWHs6NajhdiwRkSrNl3NmtwMX4FxnVvRVpaXXrcak67qRGBPGsJd/5aPfs9yOJCJSpflyzmyFGgsfqW6NKDKu7cbwN2cxYuLvrNmyl3/2aIRHy8aIiJQ7X4rZXmPMF8DvQCGAtfYuv6YKEPFRobx+eSfu+GAej3+1hDVb9/Jgv1aEhfg0SVRERE4QX4rZ535PEcDCQoJ4fHAb6lSP4slvlpK1PZtxl7QnPjLU7WgiIlWGrx1AlgArcZoC7/NnoEDk8Xi46ewmPDaoDTNXbWXguGlkbtvrdiwRkSrDl5FZBhAGpOJcML0WeNufoQLVwPZppCREcM0bv9H32WmM/0cHWqcluB1LRKTS82VkFm+t7Y3TraM9xaboy5G6Nkwk47quRIQG8bfnZzBlwXq3I4mIVHq+FLP93ttoa202zihNytCoViyTrutGk6RYhr/5G+N/Xul2JBGRSs2XYjbJGHMvMNcYMwPY5edMlULN2HAmXtWZns1r859PFzLq4wXkq0mxiIhf+NLO6tmi+8aYz3DWNxMfRIYFM/bi9jz8+SJe+nklmdv28tSQdkSF+XKqUkREfFXqT1VjzEhr7QPGmLfxXl9WzFD/xqo8goM8jDyvOSfViOK+jxfwt+dn8PKlHagVp1OPIiInSllDhE+8t+8A28ohS6U2rEs9UqtF8s+35tBv7DTG/6MjJin26C8UEZGjKrWYWWvneu/eYq09pZzyVGo9mtbm3eFduPzVmQwcN42xl6TTvXFNt2OJiAQ8XyaAbDXGjDDG9DbG9DTG9PR7qkqsZWo8H17fjdRqkVz2ykzembnG7UgiIgHPl2K2BWc9s78BQ4CL/JqoCkhJiOS9a7rQtVEit38wnzFfLqZAMx1FRI6bL7MZLyv+2BiT7L84VUdsRCgvX9qBez/6g2e/W86ardmMGdiaiNBgt6OJiAQcXxbnvB+4Dudi6SicPo0t/JyrSggNDuKhfq2oWz2a0ZMXs35HNi8M60C1aF2XLiJyLHw5zNgHSMNpONwM0EqUJ5DH4+Ha0xvyzNB2zM3cQf9x01i1eY/bsUREAopP58ystblArHeRzig/Z6qSzmudwttXdWL73n30GzuVWau2uh1JRCRg+FLMMo0xlwN7jDEPA3F+zlRltT+pOpOu60ZCVBhDX/qFT+audTuSiEhA8KWYDQe+AW7FWf5Fsxn9qF5iNBnXdqVNWjw3vD244rgNAAAeUklEQVSHsd8vo7BQMx1FRMpSVjurpcBrwMvW2tXezU+XS6oqrlp0GG9c0Ynb3p/Ho5Mta7bs5b99WxIa7MvvHiIiVU9ZPx27AnuBz40xk4wxfcopkwARocE8eVFbbujRiIkz/+TyV2eyM2f/0V8oIlIFlVrMrLWbrLX/s9a2Ax4CLjDGzDbGjCy/eFWbx+Ph3z0Njw5ozfTlWxg0bjpZ27PdjiUiUuH4dNzKWjsT55DjDGCYXxPJEQZ3rMOrl53M2u3Z9Ht2Kn9k7XA7kohIhVJmMTPGnGSMuccYswD4N/Ah0LRckskhTmmcyPvXdiU0OIjBz0/nm0Ub3I4kIlJhlFrMjDE/AF8COcAZ1tpB1top1lpNrXOJSYpl0nVdaVgzhqten8Xr01e5HUlEpEIoq53VKGvtd+WWRHxSKy6Cd4Z35l9v/869Hy1g9Za93HVOM4KDPG5HExFxTVkTQFTIKqiosBCeH9aey7rV4+WfV3Ltm7+RvS/f7VgiIq7RhUsBKjjIw33nt+C+85vz1aINXPTCdDbtynU7loiIK8o6ZzbZe3tf+cWRY3VZt/q8MKwDSzbspt/YqSzdsMvtSCIi5a6sc2Zxxpj3gO7GGFN8h7V2qH9jybE4u3lt3hnemStem0X/cdN4/pL2dG2U6HYsEZFyU9Zhxj7Ak8A64Dng+WJfUsG0Tktg0nVdSY6P4O/jf+X93zLdjiQiUm7KmgCyw1r7M3AyEOO9TbDW/lBe4eTYpFWL4v1ru9K5QQ1ueW8u/5ti1aRYRKoEXyaA/Ae4AtgPXGqMedy/keSviIsI5ZXLOjK4QxpPfbuMm9+dS26eZjqKSOVW1jmzIqdaa7sBGGOexGlpJRVYaHAQowe0pm71KB6bsoSs7dm8MKw9CVFhbkcTEfELX0ZmocaYoud5AB23CgAej4d/9mjMkxe15fc12+k/bhprtux1O5aIiF/4UszeAaYaY54AfgYm+jeSnEgXtk3lzSs7sXXPPvqNncrsNdvcjiQicsIdtZhZax8HrgKmAldba//P76nkhDq5fnUyru1KTEQIQ16Ywefz17kdSUTkhPJ1CZg/rLXvW2v/8Hcg8Y8GNWPIuLYrLVPjuW7CbJ7/YblmOopIpaF2VlVIjZhwJlzZiXNbJ/PwF4sZ+eEf5OUXuB1LROQv82U2o1QiEaHBPH1RO+pWj2Lc98vJ2p7NM0PTiQnXPwURCVxH/QlmjDkbuBkIL9pmre1xlNcEAWOBNkAucKW1dlkJz/kM+Mha+9yxR5fjFRTk4fbeTalbPYqRH/7BoOemM/4fHUiOj3Q7mojIcfHlMOMTwOPAtcW+jqYvEGGt7QLc4X394R4AqvuYU/xgyMl1Gf+Pjvy5dS99n53KgrU73I4kInJcfClma6y1X9tifHjNKcBkAGvtDKBD8Z3GmIFAAfDFsQaWE+u0JjV575ouBHk8DH5uOt/ZjW5HEhE5Zr4Us43GmOeMMcONMVcbY6724TVxQPFf8/ONMSEAxpiWwFDg3mOPK/7QLDmOD6/vRr3EaK58bRZvzljtdiQRkWPiSzFbidM5PwlI9n4dzU4gtvjnWGvzvPf/DqQC3wL/AG42xvT2NbD4R+24CN4d3oXTmtRk5Id/8NDniygo0NR9EQkMvlw0fT8wC8gGfvc+PpqpwDkAxpjOwPxi73ebtbaTtfZ04FXgf9baycceXU606PAQXhjWnr93OYkXflzB9W/NJme/mhSLSMV31GJmjHkYuAzYh9M1/zEf3ncSkGOMmYYzgeQmY8zNxpgL/lJa8buQ4CDuv6AFI89txuQF6xny4gw27851O5aISJn80jXfWlsAXHPY5sUlPG+UD58v5czj8XBl9wakVYvixnfm0G/sVF75x8k0qhXjdjQRkRKpa76UqnfLJCZe3YXsffkMGDeNGSu2uB1JRKREx9M1/x3/RpKKpG2dBCZd143EmDCGvfwLk+Zkuh1JROQIx9M1/wm/p5IKpU71KDKu7UaHk6pz0ztzefLrpWpSLCIVSqnFzBhzpff2YZzrwtKBocaYh8opm1Qg8VGhvHb5yfRPT+WJr5dwy3vz2JenJsUiUjGUNQHkT+/t4RM39Ct5FRUWEsTjg9pwUvVonvh6CWu3Z/PcsPbER4a6HU1EqrhSR2bW2i+9dztaa18r+gLOKp9oUhF5PB5GnNWY/w1uw6zVWxkwbhp/bt3rdiwRqeJKHZkZY64HRgLVjTH9vZs9wMLyCCYVW//0NJLjIxn+xiz6jZ3KS5d2pG2dBLdjiUgVVdbI7FlrbTJwv7U2xfuVbK09sxzzSQXWpWENMq7rRmRYMBe9MJ3Jf6x3O5KIVFG+TM0/x+8pJGA1qhXDpOu60TQpjmsn/MZLP63QTEcRKXe+dADZaowZAVicZVuw1k7xayoJKIkx4Uy8ujM3vfM7D3y2iDVb93Lvec0JCfbldyURkb/Ol2K2BWjr/QJnNqOKmRwiIjSYZ4em88jkxbzw4wqytmXz1JB2RIf78k9MROSv8eWi6ctwVor+AnjSWnu531NJQAoK8nDXOc34b9+WfGc3Mvj56WzYmeN2LBGpAnzpmn8D8CLQFXjBGHOL31NJQBvW+SRevrQjqzbvoe+zU1m8fqfbkUSkkvPlpMZQoLu19kagG/A3/0aSyuCMprV495ouFBQWMnDcdH5cssntSCJSiflSzDxFq0Rba/cD+/0bSSqLFinxfHh9N9KqRXLZqzN5+9c1bkcSkUrKl7PzPxtj3gd+ArrjNBwW8UlyfCTvXdOFf741hzsz5rNm615u7WkICvK4HU1EKhFfJoDcAryCU/jGW2tv9XsqqVRiI0J5+dIODO1Ul3HfL+dfE+eQsz/f7VgiUon4MgGkFtATOBvoYYyp5vdUUumEBAfxYN+W3NmnKZ/OW8fFL/3C1j373I4lIpWEr4tzLgJuB1YAb/g1kVRaHo+H4ac1ZOzF6fyRtYP+Y6eycvMet2OJSCXgU4sGa+1z1tq51tqxQIyfM0kld06rZN66qjM7c/LoN3YqM1dtdTuSiAQ4X4rZYmPMxcaYFGPM+cAWY0wTY0wTf4eTyqv9SdWYdF1XqkeFcfGLv/DR71luRxKRAObLbMam3q8rcJaAAXgep61VDz/lkirgpBrRZFzXlatf/40RE38nc1s2153eEI9HMx1F5NgctZhZa88wxtQAGgIrrLWb/R9LqoqEqDDeuPJkbn9/HmO+tKzesocH+7UiVE2KReQY+DKbcRAwDbgLmGGMucTvqaRKCQ8J5om/teVfPRrx7qxMLntlJjtzdG2+iPjOl19/bwbaW2v7Au2AEf6NJFWRx+Ph5p6GMQNbM2PFFgaOm0bmtr1uxxKRAOFLMSuw1u4GsNbuAtQGXfxmUIc6vHb5yazbkUO/sdOYn7nD7UgiEgB8KWbLjTGPG2MuNMY8Diz3dyip2ro1SiTj2q6EBQcx+PnpfLVwg9uRRKSC86WYXYlzsfTZ3tur/JpIBGhcO5ZJ13elSe0Yrn5jFq9MXel2JBGpwHyZmv+ptban35OIHKZWbAQTr+7CiIlzuP+ThazZupeR5zYnWE2KReQwvhSz7caYC4AlQAGAtXaJX1OJeEWGBTPukvY8+Nkixk9dSea2bJ68qC1RYb780xWRqsKXnwg1gZuKPdbF0lKugoM83Ht+c06qEcX9nyzgohdm8NKlHagVG+F2NBGpIMosZsaYOOBca63mSIvrLu1aj9SESG54ew79np3GJZ3r8uaMNazdnk1KQiS39jL0bZfqdkwRcUGpE0CMMf8E5gJzjTG9yi+SSOnOal6bd4d3YWf2PkZPtmRtz6YQyNqezZ0Z8/lwjno8ilRFZc1mHAoYoAtwY/nEETm6VmnxRIUfeVAhe38+Y760LiQSEbeVVcxyrLX7vL0Yw8orkIgvNu7MLXF71vZs9ucXlHMaEXGbr91cNRdaKpSUhMhS93V+6Bvu/2QBf2TtoLCwsBxTiYhbypoA0sIY8xZOISu6D4C1dqjfk4mU4dZehjsz5pO9P//AtojQIC7udBJrt2czYcYaXpm6iia1Y+ifnkbftqkkxWv2o0hlVVYxG1zs/nP+DiJyLIpmLY750pY4m3H73n18Om8dGbMzeeSLxYyevJhTGiXSPz2VXi2SdJ2aSCXjqYiHYYwx9YCV33zzDWlpaW7HkQC3cvMeJs3OJGNOFpnbsokOC6Z3y2QGpKfSuUENgtRRRKTCy8zM5MwzzwSob61ddfh+/XoqlV79xGhu7mm48awmzFy1lYzZWXw2fx0fzM4kJT6Cvu1S6Z+eRqNaMW5HFZHjpGImVUZQkIdODWrQqUENRl3Qgq8WbSBjdibP/bCcsd8vp01aPP3T0zi/TQrVozWBVySQqJhJlRQZFswFbVK4oE0KG3fl8PHva/lgdhb3fbyA/366kDOa1mJAeipnNK1FeEiw23FF5ChUzKTKqxUbwZXdG3Bl9wYsXLuTSXMy+fD3tXy1cAPxkaGc3yaZ/ulptKuTgMej82siFZGKmUgxzVPiaJ7SnNt7N+XnZZvJmJ3Fe7MyeXPGGuonRtO/XSp926VSp3qU21FFpBi/FDNjTBAwFmgD5AJXWmuXFdt/E3CR9+Hn1tr7/ZFD5HiFBAdxuqnF6aYWu3L288X89XwwO5PHv1rC418toVP96gxIT6NPqyRiI0LdjitS5fnaAeRY9QUirLVdgDuAx4t2GGMaABcDXXH6PvY0xrT2Uw6Rvyw2IpTBHevwzvAu/HTbGfz77CZs3JXLbR/Mo8MDX/Ovt+fwvd1IntpoibjGX4cZTwEmA1hrZxhjOhTb9yfQ21qbD2CMCQVy/JRD5ISqUz2KG85szD97NGLOn9vJmJ3JJ3PX8fHctdSMDadv2xT6p6fRLDnO7agiVYq/ilkcsKPY43xjTIi1Ns9aux/YbIzxAGOAOVq5WgKNx+MhvW410utW457zmvPd4o18MDuLV6au4sWfVtIsOY4B6alc0DZFi4iKlAN/FbOdQGyxx0HW2ryiB8aYCGA8sAu4zk8ZRMpFeIjTUaR3y2S27tnHJ3PXkjE7kwc+W8TDXyyme+NE+qen0bN5bSJCNc1fxB/8VcymAucD7xpjOgPzi3Z4R2QfAd9aa0f76fNFXFE9OoxLu9bj0q71WLZxFxmzs5g0J4t/vT2H2PAQzmmVTP/0VDrWq642WiInkF96Mxabzdgap+v+ZcA5wDIgGHgbmFHsJXdaa6cXe3091JtRKomCgkJmrNjCB7Oz+OKPdezdl09atUj6t0ulX3oa9ROj3Y4oUuEdrTejGg2LlKO9+/L4csF6MmZn8fOyzRQWQnrdBPqnp3Fe62QSotRGS6QkajQsUoFEhYXQr10a/dqlsX5HDh/+nsUHv2Uy8sM/+M8nCzmzWS36p6dxWpOahIX468oZkcpHxUzEJUnxEVxzWkOGn9qABWt38sHsTD7+fS1f/LGe6tFhXNAmhf7pqbRKjVcbLZGjUDETcZnH46FlajwtU+O565xm/LhkExmzs3jr1zW8Om0VjWrF0D89lb5tU0lJiHQ7rkiFpGImUoGEBgdxZrPanNmsNjv27uez+c5q2Y9Otoz50tK1YQ36t0ujd8skosP131ekiP43iFRQ8VGhDO1Ul6Gd6rJ6yx4yZmeRMSeTf783l5Ef/kGflkn0T0+jS8MaBGuav1RxKmYiAeCkGtHcdHYTbjyrMbNWbyNjdiafzltHxpwskuKc1bIHpKfSuHbs0d9MpBJSMRMJIB6Ph471qtOxXnXuO78FXy/aQMbsLF78aQXP/bCcVqnx9E9P5YI2KdSICXc7rki5UTETCVARocGc1zqF81qnsGlXLh9722jd/8lCHvxsEaebmvRPT6NH01pqoyWVnoqZSCVQMzacK06pzxWn1Gfx+p1M8rbR+nrRRuIiQjivTQoD0lNJr1tN0/ylUlIxE6lkmibFcec5cdzWuylTl20mY3YmGbMzeeuXNZxUI4r+7dLon67VsqVyUTETqaSCgzyc2qQmpzapye7cPL6Yv46M2Vn83zdLeOLrJZxcrzr901M5p3UycVotWwKciplIFRATHsKgDnUY1KEOWduz+XBOFh/MzuSOjPnc9/ECzm5emwHpaXRvnEhIsNpoSeBRMROpYlITIrn+jEZcd3pD5mbuIGN2Jh/PXcun89aRGBPOhW2dNlrNk+N0fk0ChoqZSBXl8XhoWyeBtnUSGHluc76zG8mYncnr01fx8s8raZoUS//0VC5sm0rtOK2WLRWbipmIEBYSRK8WSfRqkcS2Pfv4dN5aPpidxUOfL+aRLxZzSuOaDEhPpWfzJCLDNM1fKh4VMxE5RLXoMIZ1qcewLvVYvmn3gWn+Iyb+TnRYsHe17DQ61ddq2VJxqJiJSKka1ozhll6Gm89uwq+rtpIxO5PP56/nvd8ySU2IpF+7VPqlp9KwZozbUaWKUzETkaMKCvLQuUENOjeowf0XtGTKwvV8MDuLsd8v45nvltG2TgID0lM5r3UK1aK1WraUPxUzETkmkWHBXNjWmRiyYWcOH/2exQe/ZXHPRwv4z6cL6dHUWS37DFNLq2VLuVExE5HjVjsugqtPbchV3RuwcJ3TRuvD39fy5YINVIsK5fw2KfRPT6NNmlbLFv9SMRORv8zj8dAiJZ4WKfHc0acpPy3bTMbsLN6Z+SevT19Ng5rRDEhPo2+7VFK9q2V/OCeLMV9a1m7PJiUhklt7Gfq2S3X5O5FApWImIidUSHAQZ5hanGFqsTNnP1/MX8cHs53CNeZLS5cGNaiXGMWkOVnk7C8AIGt7NndmzAdQQZPjomImIn4TFxHK3zrW5W8d6/Ln1r1MmpNFxuxMpq/YcsRzs/fn8/AXi+jTKonwEF3LJsdGxUxEykWd6lH868zG3NCjEQ3u/JzCEp6zYWcuZuRkakSHUTsugqT4CGrHRZAcH0FSXAS1vbdJcRHERYboPJwcoGImIuXK4/GQkhBJ1vbsI/YlRIZyWbf6rN+Zw/od2azbkcPvf25n6559Rzw3MjTYW+zCDxS65GIFMCk+gpox4WqcXEWomIlIubu1l+HOjPlk788/sC0yNJhRF7Qo8ZxZbl4+G3fmsm5HDut35rDBe1t0f+aqbWzclcP+/EPHe0EeSIwJJ7lYgavtHdklxx8c6UWH60dhoNPfoIiUu6KC5etsxvCQYOpUjypzQdGCgkK27t3H+h05bNiZwzrv7Xpv4Vu1ZQ/TV2xhV07eEa+NDQ9xRnbFil3xQ5pJ8RHUiA5T+64KTMVMRFzRt13qCZ25GBTkITEmnMSYcFqmxpf6vL378g4UOKfY5bJ+R7Z3pJfL0g2b2bgrh4LDTuqFBnuoFes9rBkfQVJcJEnx4QeKX9GoLyJUk1fcoGImIlVKVFgIDWrG0KCMfpJ5+QVs3r3Pe+7OW/SKRnk7cli8bhff203s3Zd/xGurRYUeOKSZVOy2+EgvISpUk1dOMBUzEZHDhAQHOUUoPgLqlPycwsJCduXmsWFHzhHn8ooOc/6RtYPNu4+cvBIeEnTI+bviha+oENaKDSdUk1d8pmImInIcPB4PcRGhxEWE0rh2bKnP25dXwMZdBwvcwZFeLhu8szXXL8hhX17BYe8PNaKLT17xztqMiyA5/uAhztiIUH9/qwFBxUxExI/CQoJIqxZFWrXSJ68UFhaybe/+Qw5prttxcKSXuW0vs1ZvZfve/Ue8Njos+IjJK4fP2qwRE05wJZ+8omImIuIyj8dD9egwqkeH0TwlrtTn5ezPP2zySrFzeTtzmLF8Cxt35ZJ32OyV4CAPtWIPnaxy4FxescOcvq4iXhH7aqqYiYgEiIjQYOolRlMvMbrU5xQUFLJ5T+6BySoHJ6/ksmFnDks37uLnZZvZnXvkJQrxkaHFJquEkxQf6S1+Bwvhj0s2cdekPw5cI1hR+mqqmImIVCJBQc4lBLViI2idVvrzdufmlXpN3oadOSxat5PNu3MpLKnv2GGy9+cz5kurYiYiIuUrJjyERrViaFSr9EsU9ucXsGlX7iEzNe//ZGGJz11bQnuy8qRiJiIiJQoNDiIlIZIU7xp0AC/9tLLEvprFn+MGXcQgIiI+u7WXIfKwLieRocHc2su4lMihkZmIiPjsWPtqlhcVMxEROSYnuq/miaDDjCIiEvBUzEREJOCpmImISMDzyzkzY0wQMBZoA+QCV1prlxXbfxUwHMgDHrDWfuqPHCIiUjX4a2TWF4iw1nYB7gAeL9phjEkC/gV0A3oBDxtjwv2UQ0REqgB/zWY8BZgMYK2dYYzpUGzfycBUa20ukGuMWQa0BmYWe04wwPr16/0UT0REAkmxelBiN2R/FbM4YEexx/nGmBBrbV4J+3YBh69xngxw8cUX+ymeiIgEqGRg+eEb/VXMdgLFV6sL8haykvbFAtsPe/1MoDuwDjhyXXIREalqgnEK2cySdvqrmE0FzgfeNcZ0BuYX2/cr8KAxJgIIB5oBfxR/sfcQ5M9+yiYiIoHpiBFZEU+hL/39j1Gx2YytAQ9wGXAOsMxa+7F3NuPVOBNQHrLWfnDCQ4iISJXhl2ImIiJSntSbETDGdAJGW2tPdzuL+M4YEwqMB+rhHLJ+wFr7sauhxCfGmGDgRcDgnBe/zFpb6iEkqZiMMbWA34CzrbWL3cxS5TuAGGNuA14CItzOIsfsEmCLtbY70Ad4xuU84rvzAay13YB7gf+5G0eOlfeXyecBd1fl9KryxQznhGJ/t0PIcXkPuKfY47zSnigVi7X2Q5zz5gAnARtcjCPH5zHgOWCt20FAxQzv5JP9bueQY2et3W2t3WWMiQXeB0a6nUl8Z63NM8a8BjyN8/cnAcIY8w9gk7X2S7ezFKnyxUwCmzGmDvAd8Ia19i2388ixsdZeCjQBXjTGRLudR3x2OXC2MeZ7oC3wurdVoWs0AUQCljGmNjAF+Ke19hu384jvjDHDgDRr7cPAXqAANUgIGNbaU4vuewvaNdZaV/sPqphJILsLqAbcY4wpOnfWx1pbIU5IS5kygFeMMT8CocCN1toclzNJANN1ZiIiEvB0zkxERAKeipmIiAQ8FTMREQl4KmYiIhLwNJtRqgRjzOnAu8BCoBCIBCZYa58+7Hm9gbrW2heO4b3/AWw9lr6Qxph6wERrbefDtlfD6azQGGf9pj+B4dbaHUe8SQVljLkaeMVaq2YEUm5UzKQq+dZaexGAMSYcsMaYN6y1BxaHtdZOPtY3tda+euIi8jbwvLV2EoAx5iac/ncXncDP8Le7gNdRZx0pRypmUlXF4lykm+e96HMTzjVrb+OMip7z3v8TaAj8aq291tsl/FUgAWetvr8DFwPrgcXA3TgXACcBL1hrnzXGnAbc5/3cKO9r9h0eyBhzEpBUVMi8ngJivPsvBm4EcoGlOL0NL8Zp2huJswrvk8CFQEvgFmvtR8aYFcAv3u/jD+BKIA5403sbAoy01n5rjJkH/ICzFmEhcKG1docx5mHgVJxTE/+z1r7n/XP73ftZccAg4Czv9z4R6Hv0vwaRE0PnzKQq6WGM+d4Y8y0wAbjBWrvbu+8ta+1ZHNqFoglwBXAycI63Xc/dwMfW2q7e+ycf9hmpwAVAZ+Amb/FrAVxire0BfIzzQ78kKcDK4hustfneYlIDuB/oYa09BdgODPc+LdZaew4wGrgWp3H21TiL4gKkAfdYa0/GKYx9cfpYfuXt5DAIeNm7qG4c8La19jQgC+hjjOkD1Pd2uD8DuNsYk+B971+9f25fAUOstS/jFPZAGklKJaCRmVQlBw4zlsCWsG2ZtXYXgDFmHc4yQQZnDTWstd96940q9ppp1tpc7/Y/cEZDWcBTxpjdOMVuaikZ1uAUngO8y2wMwhmJLSjKA/wI9MQZcc3xbtsOLLLWFhpjtnFwWaM11tplRfm830MznIKOtTbLGLMTqOl9TtH7/el9j7pAe+9IDJyOHSeV8FxXe/NJ1aaRmYijoIRtJbXHWQR0BDDGnGqMGX3Y/rbGmGBjTBTOiGwpznp5l1lr/4GzXIanpADW2ixgszHmwmKbR+CMpFYCzYs14z0NWFJGzuJSizWB7QYs8H4f3b3fRyrOIdYtpbzfYuA77+K1PXAm0qwo47ML0M8WKWf6BydybB4CLvSOUu7HmZxRXCjwBfATzsrXm4E3gF+MMVNxztWllPH+w4ChxpifjDG/AOnAVd73uQ/4zhgzA0gExvmYORd4xvt+a4FPvN9HD29vxA+Bq621pa0H9wmw2xjzE86qwoXFRogl+Qn43BhTYtEW8Qf1ZhQ5QbzT/68p41CmK4wx6621OgQolZpGZiIiEvA0MhMRkYCnkZmIiAQ8FTMREQl4KmYiIhLwVMxERCTgqZiJiEjAUzETEZGA9/9Gu76UTL4v6wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x118736550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(7,5))\n",
    "\n",
    "plt.plot([1,2,3,4], pca.explained_variance_ratio_, '-o', label='Individual component')\n",
    "plt.plot([1,2,3,4], np.cumsum(pca.explained_variance_ratio_), '-s', label='Cumulative')\n",
    "\n",
    "plt.ylabel('Proportion of Variance Explained')\n",
    "plt.xlabel('Principal Component')\n",
    "plt.xlim(0.75,4.25)\n",
    "plt.ylim(0,1.05)\n",
    "plt.xticks([1,2,3,4])\n",
    "plt.legend(loc=2);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Lab 2: Clustering"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 10.5.1 K-Means Clustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Generate data\n",
    "np.random.seed(2)\n",
    "X = np.random.standard_normal((50,2))\n",
    "X[:25,0] = X[:25,0]+3\n",
    "X[:25,1] = X[:25,1]-4"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### K = 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KMeans(algorithm='auto', copy_x=True, init='k-means++', max_iter=300,\n",
       "    n_clusters=2, n_init=20, n_jobs=1, precompute_distances='auto',\n",
       "    random_state=None, tol=0.0001, verbose=0)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "km1 = KMeans(n_clusters=2, n_init=20)\n",
    "km1.fit(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "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, 1,\n",
       "       1, 1, 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], dtype=int32)"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "km1.labels_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "See plot for K=2 below."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "####  K = 3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KMeans(algorithm='auto', copy_x=True, init='k-means++', max_iter=300,\n",
       "    n_clusters=3, n_init=20, n_jobs=1, precompute_distances='auto',\n",
       "    random_state=None, tol=0.0001, verbose=0)"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.random.seed(4)\n",
    "km2 = KMeans(n_clusters=3, n_init=20)\n",
    "km2.fit(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1    21\n",
       "0    20\n",
       "2     9\n",
       "dtype: int64"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.Series(km2.labels_).value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-0.27876523,  0.51224152],\n",
       "       [ 2.82805911, -4.11351797],\n",
       "       [ 0.69945422, -2.14934345]])"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "km2.cluster_centers_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1,\n",
       "       1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0,\n",
       "       0, 0, 0, 2], dtype=int32)"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "km2.labels_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "68.973792009397258"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Sum of distances of samples to their closest cluster center.\n",
    "km2.inertia_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1187d2f98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1,2, figsize=(14,5))\n",
    "\n",
    "ax1.scatter(X[:,0], X[:,1], s=40, c=km1.labels_, cmap=plt.cm.prism) \n",
    "ax1.set_title('K-Means Clustering Results with K=2')\n",
    "ax1.scatter(km1.cluster_centers_[:,0], km1.cluster_centers_[:,1], marker='+', s=100, c='k', linewidth=2)\n",
    "\n",
    "ax2.scatter(X[:,0], X[:,1], s=40, c=km2.labels_, cmap=plt.cm.prism) \n",
    "ax2.set_title('K-Means Clustering Results with K=3')\n",
    "ax2.scatter(km2.cluster_centers_[:,0], km2.cluster_centers_[:,1], marker='+', s=100, c='k', linewidth=2);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 10.5.3 Hierarchical Clustering"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### scipy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x118736a58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1,ax2,ax3) = plt.subplots(3,1, figsize=(15,18))\n",
    "\n",
    "for linkage, cluster, ax in zip([hierarchy.complete(X), hierarchy.average(X), hierarchy.single(X)], ['c1','c2','c3'],\n",
    "                                [ax1,ax2,ax3]):\n",
    "    cluster = hierarchy.dendrogram(linkage, ax=ax, color_threshold=0)\n",
    "\n",
    "ax1.set_title('Complete Linkage')\n",
    "ax2.set_title('Average Linkage')\n",
    "ax3.set_title('Single Linkage');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Lab 3: NCI60 Data Example"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### § 10.6.1 PCA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 64 entries, 0 to 63\n",
      "Columns: 6830 entries, 0 to 6829\n",
      "dtypes: float64(6830)\n",
      "memory usage: 3.3 MB\n"
     ]
    }
   ],
   "source": [
    "# In R, I exported the two elements of this ISLR dataset to csv files.\n",
    "# There is one file for the features and another file for the classes/types.\n",
    "df2 = pd.read_csv('Data/NCI60_X.csv').drop('Unnamed: 0', axis=1)\n",
    "df2.columns = np.arange(df2.columns.size)\n",
    "df2.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(64, 6830)"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X = pd.DataFrame(scale(df2))\n",
    "X.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(64, 1)"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y = pd.read_csv('Data/NCI60_y.csv', usecols=[1], skiprows=1, names=['type'])\n",
    "y.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "RENAL          9\n",
       "NSCLC          9\n",
       "MELANOMA       8\n",
       "BREAST         7\n",
       "COLON          7\n",
       "OVARIAN        6\n",
       "LEUKEMIA       6\n",
       "CNS            5\n",
       "PROSTATE       2\n",
       "MCF7D-repro    1\n",
       "K562B-repro    1\n",
       "K562A-repro    1\n",
       "MCF7A-repro    1\n",
       "UNKNOWN        1\n",
       "Name: type, dtype: int64"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y.type.value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Fit the PCA model and transform X to get the principal components\n",
    "pca2 = PCA()\n",
    "df2_plot = pd.DataFrame(pca2.fit_transform(X))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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/11qHgXfpvkZdDDdrYevLsO6vULcTUjJBnwILV0JQhkkFWNfCdryt1qZ4U92FEMPmx8BtwDf891KnRYjBshbaHoXWR4AooECFIfUiSDk62dEN3rQp8PGzkx2FEMOhIr7BGPMPrfXRwK/pPorejda6EDgKmGOMifpttwMX4f0m+zmt9ZnGmFa8YnB1eP8wjEojlqAbY67AS8jjLR+pGESc9x6H1+6DjELIK4GONnjzQajcCMuv8EbUxX6zuIBCMT6SWLvF4t4exZZbr4ZmQKFOVzhnOajA+HhGIUYLrfWngEpjzBNa684EXeq0CDFYkTXQ8iAEZoIKeW22BVpug0A+BHVy4xNCQNcU9yjecuer8Au3xfgu8LrW+gz/ffwUd+O/HupMzn23A78FDvBfL2mtG/FqsH3VGFOX4GdJmBFdgy5GkbZGeOshyJ0BwbDXFkqFgtmw8y2oeA+mLEpujGNELesp4880sJEAaUzhJKZyKiEykh3aoNlKS/SmKKRYVImXjNt2i33Y4gYgcJZ8eCNEgl0CWK31SXjbvfwWKIo5LnVahNhf1oXWv0KguCs5B1BpoDKh9e+QKQm6EHHK2L/K6wPpr0/+EueiXg7dHXdeBOgs+PZ34Lr9ubkx5mWgs3riDf6rr3NX7E+fI0US9ImqarP3A6wzOe+klDe9fccbkqDvh0pexvALwuSQQQkuEbbzKLW8w2KuJsDYXOvmrnahHVRx10i5CinsDIv9u8WutKhUGUUXIlGMMcs6/9y53QvwI6nTIsQg2EawdeD0sqWzyoXoppGPSYjRrp89y8XIkgR9IrP97lbQU3srlK+DllrInASTD4TAxP0WcumglHtJYzJBf7Q8QAqZzKKRLezhNYo4NslRDtJ6C7kW4qbrq7DCdtiuDSuEEMPpy8DtUqdFiAFSqUAQbHv3EXTwprmrvKSEJYQQ+2PiZlcTXeFcb415R6T7KLq13lr06Yd1P79yEzz7M29qPH5in1kEK66C7OIRC3s0aWY77TSQ0UumGiKHKl4cuwl6toJK602qjWGtBVdBWnLCEmIiiJtqJ3VahBgoFYbwMog8DYGSrnZrwVZC6n8lLzYhhNgHJ9kBiCRJyYQl50LtNm9E3FqINEP1+zB9CRTFrM1qa4I1PwEnCPklkD/Le7U1wpqfelu0iXHFWaGg3q/iHmu3Qs0HCpMRlRBCCLGfUs+GwGyIvg/RCojuBPd9CB0N4eOSHZ0QQvRJRtAnMn0yZBTAO49AzVZIzYFDz4MFJ3Wv4L79dYg0Qf6k7tdnFUH1Vq/q++SFDAeLpYa32c6jNFFKmHymciqTWYYzDN++FkstVbTRSj5FhOl7u7l0phMiiw6a9k5x79ROHYUclfD4RswhCrXcwa5xsRnW202yXkE2OBcHUGrg68+ttVCPV6czj0H1IYQQQuwXJwMyvwEda6H9DSAIoSO96u1KxqeEEKOXJOgTmVIw43Dv5brg9PEDq6EcAqHejymguXrYQixnFZu5hzC5pDGVDprZzN3U8x4LuAyVwEkglezkEe6mjI04OAQJsYyzOJZTcXq5j0OQWZyP4ZeEySVMHi7ttLCLTGZTwOEJi22kKUfhXOzAUoX7LwuNwEHgHO2gsgeRnJda3Pui2I1+/1NAfdzBOUh+SRJCCDFMVAhCh3kvIYQYIyRBF56+knOAzMkQ7ej9mAXSh6fYSjtNlHI/6UwngLdOPkQmQTKo4iWKOZEcErNNSgN13Mz1bKKBCKkUkEIJaTzBH7C4LONDvV43iaWEyPS3WdtEgFSmcTrTOH3MVnDvpBwFixWBxfs+tz92pyX6gygE7d7CcrYe7I9d+Bo4iyRJF0IIIYRIptWo60lsCeCyFfRdGV5rvQL4C3CQMWab33Yj8B5QAXwFcIEAcKcx5l7/nOOAbwMhIAO4yxjzK7+/y4wx58XdxwG+jrcbShQve/lvY8zahD1pgkmCLvZtxmHwxh+gtR5Ss7vaGyu9ae6TFiTmPtZ6L//DggY2YYnuTc47KRQOYap5I2EJ+j38kcfsbjJsDqmqnT2qDUMdSyngWR7lSE4ktY/KaLksIpdFuERROChk6nYs9zEXLKhJMV+XHG99u33QxR6oZLq7EEIIIURyzQRKE9jfrP04JwLcpbU+2RgTW/joNuAQY0yt1joLeEtr/SSQCdwKnGqMqdBapwHPaK23AK193ONreNWTlhtjXK31EcBftdbaGNM+yGcbVjJ0JfYtJROWX+lVd68u9darV5dCKA2WXdF9vfpgNFTAi3fAA5+GBy6Ff/0KanfgfWjWF4Wlj1H9AdoebeTW2nYqd36ebTsvoaziXFTzfDJtiFeoppkIVezaZz8OAUnOe2Fft1DYy5Z+uWC3As0jHpIQQgghhEi+VUA1cHlcewVwhdZ6Ed5CywOMMbuBC4HfGmMqAIwxLcApwJP93OMzwHeNMa5/zSvAEaM1OQcZQRf7q2gBnPVj2LUWmmsgezIUL+p7bfr+atgNT34HOpohezqgYOdbsPMtMldeAbkKl45uBeEsFpc28lgytHsDbS5cU9VEbfvBpAYrCdNEh5vG+3tOZmb+s5DxNhVE+i0WJ/qnQmB7K/Tfuc36ED/fEUIIIYQQY9bngJe11k/EtJ0FXAn8ASgCbtNafweYCrwZe7Expg5A6z5n1aYbY2rirtmTmNCHh4ygi/0XToOSI+GAU2DakqEn524VlH0NZj0Fi96E4uchbQ9kTwEU4beeYjpn0cRW2mkEIEobTZSSy2JyOGDIj/RaC+xod8gPtYFqAwWhQAupwRp21h1Jq+uSQR6TmDrke01YKxRU9DKzoFyhDleoVJl1IIQQQsSzDZboY1Gi3+kg+r0o7uootrWXGWlCjGF+svwl4G683DQPKDHGXG2MORg4HDgV+BCwFZgRe73W+hCtdX+jdjVa6+zYBq312fFto4kk6CI53Fpo+D60vQhMgkgOBJuh6HlILYfMItj5BjOipzGfz6CARsqIUMt0PsxCvoiTgKHXV1pgkkolTCqZ5BChhQ7awWmjzbW0tRdwDp+QqetD4JzkoKaBLQXbaLHNFlsGpIDzH/JPkBBCCBHPVlvc70Sxf7TYOoutcnHvsrg/jGKbJUkX44sx5lHAAJ8CUoA/aq07E/FdQDnQBtwHXKq1ngSgtc4E/g/6HUm7B/i21lr51xwD3ELfa9aTTqa4i+SIrAG3BiIZEHYABdE0sApy34GWDwKgLEzmeIo4jiitOIQTkph3CirIJZMCsqhGMYksGqmlgw4CpHECyzmOpQm730SkMhXONwK4z7rwHNAOnKZwTnBQBfLBhxBCCBHPfcjF1oIqAToHCXLBbgF3lUvgQ7I+TIw7XwJOxEvGvwg8rLXuwFsM+TdjzD8BtNZf849FgSzgDmPMP/wq7iu11q/G9Hk+8CPgu8C/tdbteL+JnmWMiYzQcw2YJOgiOSIvgVMAuTOgpqyrOrybCqE6aC2DqYdD0KvgrlAE+6iiPhRHpsFLLYoj7QG8rTazi2rSKaDdDTDDmcR3w4fK6HkCqExF4PQAnJ7sSIQQQojRzUYs9kULUzuLtcSYbL2yWr3v/irEUJSxf5XXB9Jfn4wxq4HVMe/rgZKYUx7p47p/Av/so7/8Pm73zX4jHWUkQRdJEgAsFM6H+p3eFm4pmd6h9mavgNjBZw97FEvSYFEKrG8NsTi4kANVGxXRDtptiC/nh8mT3FwIIYQQI6kdbyOb3laBhcDWj3A8YkLob89yMbIkQRfJET4OWu+DlNkwZxlUGqjdDsFWSJ8LH/we5M3Ydz9DFFJwRQGsaoQnm6ChI4WDU1I4MxsWSuH28aW+DV7aCRtrID8Vjp4GJTnJjkoIIYToLh2vdksdkBt3bA+og2X0QIjxTBJ0kRzh4yDyHHSUQrgYph0CxVOAKGR9A4LDn5x3SnXg9GzvJcapsnr40UvQGIH0ELR1wOPvwzkazpiX7OiEEEKIvZRSqHMc7M1RbNCiMhXWWqgD2hXOGVJgVYjxTBJ0kRxOBmReDZGnoO0ZsG0QPhRSz4DAzKSGZrE0UUYHjaQymVQKkxqPGCLXwv++4f05dsS8PQoPGlg8SUbShRBCjCrOIQ58Aez9LrbMggU1ReF8LoAqkRF0IcYzSdBF8jhZkHq29xolmtnJBv6XJrahCGBxKWQpc7loWIrUiRGwtQ7Km6AkbopEKABBB/69QxJ0IYQQo45zpIM9XEEF3nr0yd7ouhBifJMEXQhfO02s4yZc2smgBIXC4lLFi0AUzeXJDlEMRlN774V2AFIDsGfUboMphBBiglMB1f8Oz0KIcUcSdCF8e3iVCLVkxuwwoXDIoIQqXmEm5aRRnLwAxeAUZ3jT3F0LTtzIQ3M7zM9LTlxCCCGEEKPER1DXA4lcZ1r2l34qw/v7ll9mjDkvpu1G4D3gduAoY8xrfvtlQLEx5jqtdSmw0BjTqrUuxtty7SZgO/AX4CBjzLbY/owxd2utM4EbgEPx9kloAL5sjNmgtV4FfN0Y87LWOgxUAt81xvzY72cN8N/Az4DXjTFX+e2pfv+zhv7l6iJVJoTwNbCJQC/T2BUKhUMLu5IQlRiywnSvYntZvZekd9rT4hWMWypDE0IIIYSY8GYCpQl8DSXZrwfu0lr3uaeS1noa8ATwP8aY3/vNEf+63taC3A5sMsYsM8asAK4B/qK1zsFL8o/3zzve7/cM/z6pwAxjzFv+8fO11suH8Gz7JAm6EL4webhEej1msQTJGOGIRMJ8crGXpG+r915b6yAjBF9dCjmyn54QQgghxCiyEXgcb8S7NzOBJ/FGwP8S074KqIbu61K11oV4I+u3drb5CfejwEf9vjoT9NOBO4BcP3k/GlgT090VwK/9EflhIVPcReLYCHS8C7YenEkQWABq7HwGNIml7OBRXNpxCO1tj1BLCvlkMjeJ0YnBstaiUoPw2SXwsQVewbj0EMzK6TnlXQghhBBCJFOJ/99rgZe11sf3cs6fgBagqJdjn/OveyKmbQ6wuZdzt/j3uwdY6I+8LwO+CTwFnAQcjPdhQae3gN8Ct+BNe0+4sZM9idGtYwvUfwWafgJNv4HGG6Hhf8CtSnZk+y2daczi4zSzgya208YeGtlKlDY0l+MQSHaIYgBsmSX6yyjRS6N0fK6D6P1RbCjN21ZtTq4k50IIIYQQydMCxE9jzPTbMca0ARfjTU2Pn8Z6CfAR4Eat9cLYA8aYPcCXgLvpynV30pX4x5oPlBljXLzE+1Sg3L/3Y8CxwHF4I+yxbsRL3E/bj+ccMEnQxws3CrXboaYMoh19nONC+Xp48U547hewaQ1EmhNw70ZouhlwIDALgiXef91KaLoVrDv0e4yQqazkEL7DFE4imwXM4lwO5ftkMSfZoYkBsJst0euj2LUuTLWQZ7FPWNwboth6u+8OhBBCCCHEcHoXOFRrPQX2rvVeBjzceYIx5nXgPuDquGvf8QvBXQU8qLXuVkTKGPMoYIBP+e+3A5u11nunvmutDwPOjLnfk3gj54/57/8FHOZfXx3XfxS4CPjJIJ57n2SK+3iw42145R5oqfHep2TB4edDydKuc9wovHQXbHkOQmkQCMK212D93+HEqyGjYPD3b38NbDME4j6YCkyB6FaIboHgvMH3P8IyKSGz1w/Zxje72+K+7EIVqFmgPuCgMsfeKLO1FvfeKKRZVIEffwAoAbsV3NUugbNkNoQQQgghRLIYY+q11lcBf9daNwNh4FYgfqTx+3iJdG99/ElrfSrwK7xp6rG+BJwY8/6TwI+01i8BUaAG+IgxptY//iTeaP2Fft8RrXUt8EYf9zZa658AV+7P8w6EJOhjXeVGWHMLpBdAnl8sMdIE//olBNNg2sFe2/bXYfMaKJjdtS48oxDqdsBr98KyISyhiO6EmDXbPbhVwNhJ0Mcr22KhCcgCldI98XZfiOLe4Y8sp1jsGgV/ihL4agBVMsaS9Dqw79N77dBCC88DZ41wTEIIIYQQo1sZxOw1nJj++mWMeZiYEfMYR8Wc0wEcEfN+Vlwfl8a8XR3TXk/MtHZjTBPw+X5i2QqouLaPxL1fEff+Z3hbryWUJOhj3TuPQDgdUrO62sIZkJYHax+GqQeBUrDxaa8tvmhb9hTY/gby6T5rAAAgAElEQVS01EFazuBicIqA9n6O5w6uX5EQtsXiPuhin7Pero9BUKconDMdVEhhKy3unRaKLCpV0flvk622uLdGcX4YQAXGUJLe3wx2hfc1EEIIIYQQe/W3Z7kYWZKgj3Xl6yGnl32c03KhuhSiEQimeAl4KLXnecrxXu0tg0/Qwx+A1ge8tehOzI4DbpVfzX3+4PodZxpo5kleYzVv00Y7hzCHD3EUM3stQJkY1rW4P3ex71qYblFBhY1Y7F/A3eMS+HTAm9Zu8ZPzLipfYbdab6OLhb33PyrlgpoOthbIiztWpeBDY+jDBiGEEEIIMaFIkbixLpwB0V5Gr90OCITA8T+DKVoIzTU9z+to8xL49PzBx+DkQPoXwTZAtBSi273/EoaMK0DJet8mWvghD/AIL5JOCpPI4W228B1+x0Z2DN+NN4B914USLzkHUGEFsyz2eYvdaWEPEO5j2FkpbOPYKqqmlEKd70C9wlZZrLXYDovdBioHnA/KP3tCCCGEEGJ0kt9Ux7r5J0D9rp7t9btg7jJw/OR4wYmAC60NXedEO7zK74s+BMHw0OIIHwTZP4a0SyD1TEi/HLJ/AIFpQ+t3nPgX69hGJbOYTCphggQoJp8MUvk9T2H7nZc9eK5xIeAlrbGUv8WYLbWoEqC156iytRZciyoaeyPOzgEOgW8GUNMdKFOwS6GOUTjfCqDyxt7zCCGEEEKIiUGmuI91C1fCrregarO/xlxBSy1kT4XFH+46L3c6LL8KXrzD24oNvKntB58NC09NTCxOFqQsS0xf48y/eIdCsnu055HJNiqppoGCXo4PWRhw+0hIFd569EMceCiK3dNV9dxaCzsU6kAFMxIf1j5ZC9U14DiQm+N9Xw+Qmq8IfD2AjVhw2DuDQAghhBBCiNFKEvSxLpwOJ1wNZa/C1hcgGvUS85Kl3rFYUxbBh3/ctTY9dwakZPbarUgsFxeLZRuVlFJOhA4mk8dsivceHw7OIQ7RB6LYqO1W6M1GLAQU6gCFylAEvhLAvTXqrTlXClxQByqcy5weo++JZK2FNy3ukxYqLcxVOLM2op59GMp3ewXfZs2ACz4K82YP6h4qLIm5EEIIIYQYGyRBHw9CqTD3OO+1L04ACucOf0yimw+wgBt5gFYipBImgMNmdrGB7RzDouEZPQfUVIU6U2H/arE5FjKAeqAJnE8pVJa/Ln2mwrkxAJuBBgtFCqb3nBqfSNZa3D+42MdcyAXSgdWbsK/+Cg7PRi30l0dUVcONt8L/XAUzpw9bPEIIIYQQE5Vi+vX0vkntYJVZtvdbGV5rPRv4MVCAt2fzW8DVwCZgrjGmMebcN4FzjDEbtdZT/XMuMsY86B9fAfwRWI83xJMNbAEu8Pc0LzfGFMf09wigjDFnxrSVArcYY37uv18I3Ba/vdpwkwRd9M5aaPDXq2dlDWqK8XCJ0M5O9hAkwFQKcMZAKYU8smigmRTCpBBCoYjiUkcEFxfF8H19nY86MFfh/tNChQWtcE5xUAvj1qUHFCwAhjGWbraCfcKFWewd3Ve7/w7Z6djN2TAPVEhBQR6Ut8PfnoTPXzwysQkhhBBCTCwzgdIE9jerv4Na6zTgEeBSY8xLfttFwB+AR4H/AO722w8Hqo0xG/3LL8bbf/xy4MGYblcZY86Lucd9wFnAn+LuPQPIBMJa6znGmC0xh6/SWj9hjDEDetoEkgRd9LRlC9x/P2z0/w7Mng0f/zjMT+52aRbLGt7mQZ6lhQhgKSSHSziFhQn9wC/xXmcjx7CICmrYThUWSx6ZHMY8WmmnnGqmUDAs91ZKwRJFYMmwdD9o7usuBFVXkf+ONqjeCjnToM5CtYLJ/rHCfHhjXbJCFUIIIYQQiXUGsKYzOQcwxtyjtf4c8F3gB/gJOnAJ8GsArbUCLgSOB/6qtV5sjHknvnOtdRiYAvSyjRX/BfwVaAE+D3wl5thVwD1a62OH9HRDIAm66K6sDH7wA0hJgZl+0ltV5bV961swN256fCQCzzwDTz4JtbVeEn/mmXDggQkP7d+s504eZyr5TMLbs72OJn7En/g2nxjW/cSHqoUIWaQxnUKWMBeLJUAABWyjkggdyQ5x5LUAQcveEXvleEswrOttzReNOTcahZQh7jQghBBCCCFGizl4iyvjvQ+kAfn+SPdu4CTgSv/4icBaY0yl1vo3eKPon/OPnaC1Xg0UAS7wa2PM07Gda60d4HzgKKADWKe1vtYY0+Kf8g/gNLyp9g8n4kEHavTPDRYj69FHIRCAwkJvWrtSkJ8PaWnwcNz3aEcH/OIXcO+93nlTpsD27XDjjfDCCwkNy8XlYZ5nMrmkkbK3PYcMgjg8wasJvV+iHcIcamkCIIBD0E/O24gQJkgxeckNMAmcRQpaYxoCIZh2KLahwls5lBtzrHw3LD+6/w7dGmh5GOq/CvVXQ+sj4NYPQ+RCCCGEEGKIdtD7NPj5QBlwJ/AJ4GzgEWNMxD/+aWC21vpxvET7P7XWOf6xVf568eOBCF6yH+8UIAu4D2/NemfCHusq4CLgkME82FBJgi66WAuvvw6TJvU8VlgI69dDe3tX27p18Oab3hT4jAwvsS8o8BL13/8e2toSFlo9zVRTTyZpPY7lk8U7CV0yk3jHsZgs0iinZu+e561E2E4VH+FYUpiAo8OLFGq2wpaBjXpfE3fOKdCaCdk7UbYFGpugdBsUF8EpK/ruy62Chu9C66N4I/IutP4ZGr8Hbu1IPI0QQgghhNh/fwVO1lof2dmgtb4UqPTXhP8e+Ahe8ny7f7wQb+R7qTHmVGPMCcBDeMn0XsaYPXjJ/R1a6ylx970Ub937qcaYU4Fz8UbhY69vAD6Lt859xEmCLroLBsHtZcuvaNRLwJ2Yb5lXXvES8/gCcmlp0NoK7/f2odU+RDt6vX+YIPiF1eJFaCeT1IHfawTlksk3OI85FFPGbrZRSSOtXMRKVnJ4ssNLChVSOF8OoI5WsFNht1loK4BrrkJdsdL7XguH4dyz4Ftfguysvjtr/SvYegiWgEoHlQGBEohWQuvjI/dQQgghhBBin/wK7WcC12itn9davwQsBT7uH68BDJBqjNngX/ZJ4CFjTOxCyNvx1pF3S0iMMeuBn/svALTWRf49nog573kgVWt9TNz1q/EK1o04WYMuuigFy5bB0093rT/vVF4ORx/tJemdotH+q7tbu//3rtoCbz8MFeu89cdzjoNFZ0KGVzgtnVSOYAGvs4lpMcXULJZK6riIlft/rySZQgFf4z+poYFWIhSSQ2iC/xVUWYrApwPY8y00ATmgUvKB0+Fjp+9fJzYKkRfAif+AFAhMgcgaSD+v5zEhhBBCCNGpjH1UXh9Ef/0yxmzGq7Le1/FPxr2/pZdzXgYW+m+fiTt2Q8yfO7dY67FnrzGms3jWrLj2K+PPHQkTOzsQPZ1+OrzxBmzd6k11Vwp274acHDgr7u/PYYf1vtY8EvFG4ktKAKhnI9t5lDreI0QmxZzEFE4g0DnqvXsDPH0jhNIgdya4UdjyHOxcC6dcC2neYuRzWc4WdrGVCnLI8Lcpa+IgZnM8i4fzq5JQefQzEjxBqQzl7dE+KK7/CvRyLABEvA+LRtFWgUIIMVFEaaWO94jSQhpTyKBkWLcWFUIMzr72LBcjRxL0caSNGup5D4tLFnNJo3jfF8XLy4Nrr4VVq+D5573E5vTT4cQTvWJxsQ45xKvavmkTTJ3qTUeur4fKSrjwQkhPZw+v8x4/J0g6qRThEmEr91PLWg7kKhwbhNfvg5RMSPf7DwQhd4a35dbGZ+DgswEoIJtvcyH/Zj2vsZEQQY5jEYcxf8KPRE9oKgSBheBuA1XY/ZhbCcFDJTkXQogkqOEdNvArOugsjmzJ5UAW8HlCZCY1NiGEGK0kqxkHLJadPMZW/oSNWaM9meXM4UKcgf5vzsmBs8/2Xv0Jh+HKK73K7888442cT54Ml18OS5fi0sEW7iGFwr0/iB2CZDCbWtZRzZsUts73EvG8XvYxz5wEpf/em6ADZJLGyRzOyRN03bboQ9rHoPEGcAOg/PLvthrogNQzkxqaEEJMRK1U8h4/I0QOqf42qBZLHe+xmbtZyBeSHKEQQoxOkqCPAzW8zfvcTwYzcAgBYHEpZxWpFDGdM7wT6+q8yur5+d4U9ETIyIDzzoNzzvES9NTUvaOVTWyjnQYy6J58KxQhsqnkBQqZT98z3WL2yB7lLJYGNlLOM7RQTiazKOaDPZ5dDJPgPMj4GrTeD1F/yVNgNqRd4BWOE0IIMaJ28zyWaLeRcoUinens4TVaqSSVXnaNEUKICU4S9HFgB/8gTM7e5BxA4ZDONHbwGFMrluDc+wCsXeslzxkZ8NGPwooViZv6Gwh41du7iau43tHhvcJhlKOwRCE1B/JnQ2Pl3oJwezVWwUEfSUx8w2wnj1PK/QRII0gGu/kX5axmAZcxiaXJDm9iCB0AwevA1gIKVI5MbRdCiCRpopRgL9PYFQ4KhzaqJEEXQoheSII+DjSznTC5PdoDpNIa2UHHLd8jXOvCjBne1lXNzXDnnV6yfPLJwxZXOtMJkEq0tZbA+i2wbZt3ICWF9iW5FE4+10ugDjsfnvoBuB2QMcmryl2/y0vY560YtvgSpYUKSvkj6Uzf+yFJiCw6aGEzd5LLYkKDr4AmBkIpUHnJjkIIISa8VIqp5R2ge/0ai/VH1rOTE5gQQoxykqCPA6kUEaGmR5IepQ1n1x6CexyYPrvrQHq6l6z/+c/etmopKcMSV4AUStrOZtP6q0ipdAll5WOD0JxaQ/qLTeSnVsGpwKR5XrX2tX+FnW95ReIWnAgHnA5pOcMSWyLV8CZAtxkMAEHSaKWCet6lgA8kIzQA2mliD69QyzrCZFPI0WQxV6roCiGEGDZFHMtOHidKGwG6fs9opYJs5pPG1CRGJ4SIp/jB9ZDQtZlllm/0WRlea70Cb1u084wxD8S0vw28DqzA26otdkrul4Es4DJjTI89dLXWqUApcLMx5kd+2yxgI3CUMeY1v+0yoNgYc53WOgR8AzgZiALtwDXGmJf8a98Hvm6M+WHMfR4Bso0xK/q671BIgj4OTOU0DLcSIgvlbzVlsbSwk+mv5uFk9jKimJICra2waxfMmjVssU1+NY3gkyWUnVhHU2YDjhugeOt8ZqydQ3DHY7DsFO8Dg/xZsPyKrr3TR8nU5GaivEgtz1OHBY4im2PIJTPmr04HzXu/7r2J0jbg+7ZRQwu7CJJOBjNROIMJnxYqeIcfEqGGIBm4RNjFU0zlVGZxniTpQgghhkUGM5jLxWzht4CLIohLO2kUM5/Pys8fIUafmXhJZqLM2o9z3gM+DjwAoLU+iO4b7640xrTGXuAn9n35GHA/8Cmt9c3GmM7kvh64S2t9hDEm/hfz6/H25V1ujHG11iXA37XWZ+IVxNoM/AfwQ//++cB8oGI/7jsokqCPA4V8gEZOYyf/9H/gKSwu+RzK9B3t0LG150WdiXAo1PNYezts2OAl8NOmQfEgtmvzqTfepLBqFgVPFxANdeBEAziun2x21HjT3rWOuWD0/MBupIMfspUyWsgnhALuo4JV1PB1ZpHrj5hnMQ9LR4/rLd7XeCCF4qJEKOU+ylnjJ+UuqRSzgMvIZGDFziyWzdxFlOZu11qi7OQx8jiYXBYNqE8hhBBifxWznFwWUc0bRKgjk9nkcRABwskOTQgxOrwFLNBa5xpjaoFPAPcy+JH8S4EvAUXA6cDf/PaNwLPADcBX4q75BDC7M6k2xmzVWv8S+BRwF1AF7NFaH2CMeRf4T+BBYNl+3HdQJEEfBxQOszmfySynhrW4dJDDQm8a89Gvwqu3QkFB9+S3ttZLvKfGTTFbtw5uuw0aG73zXReWLoWLL/YqtA9UKATRKApFsL2XDwMCfY88J9sT7GEbrcymq/hdNkHKaOURqvgkUwDI4QAymU0TZaQzDYWDS5RmysjncNKZ3q3f9yPwTCNs64BpQTghE+b4v6uU8gfKecYfNfe+Nm3sYR03cSg39FproC+tVFLHe2TEJfaKAAEyqGCNJOhCCCGGVSqFTGX46t0IIca8h4GztdZ3A0fijVR3Juj/1Fp3jkZHjTEn9tWJ1no+kGGMeUtr/Ru86fCxifK1wMta6+NjrikCqo0x8SNtW6Bblec/AOcB3wY+DHwTP0Hfj/sOmCTo40g600hnWvfGQw+Fww+HV1/1kvRwGGpqvOT7i1/snrRXVMBPfwrZ2VDiJ3XWwosvesn5xRcPPKijj4bnn/f6ib1XY6NXTX4Yp9cP1SpqmNLLp/xTCPMvariAYgIoHIIcwJVs4XdU8xqdW8MV88Ee08ifa4Lf1EBIQZaCnRF4rhk+lQvHZtZSwZpuyTlACgU0spVK/s00TusZaEcpRJ4HtwqCcyF8DDj5RP2p971NIwyQRhs1Q/4aCSGEEEIIMQT3Af+LlxQ/F3esxxT3flwKZGitH8f7ZfwYrfU88Ka5GmPatNYX+/e73b+mFsjXWgfjkvT5eOvfO/0FeE5rfRdQDjTv677GmE37GXcPg1vYKsaOYBA+/3n47Ge7RtGXL4fvfAfmzet+7nPPeSPmWVldbUrBzJnesbq6gd9/0SI44gh4/32or/f2Si8vh6oqL+FP1H7sCeat4Y/6E9u7C6KIYIn6U9gBwmSzkMs5nJs5hG9zBD9lLp8iQNesg7oo3FMLxQGYGoSsAEwJeaPov6+Fimg53i6xPWcVhMiing09A219Ahqvg8hqiG6G1j9D/TegYyMpTEKhcGnvcVk7dWSzYDBfGiGEEEIIIRLCGLMFb935fwO/H0wfWusg3gj38caYU40xpwA3Ap+Pu9freAn61f77CPBH4AatteP3Nce/7u6Y6xoBA9zkXz+g+w7U6MyORGKFQnDccd6rP5s3d0/OOwUCXqJeWQk5A6yqHgjAZZfBwQfDU095U+sPOghOOw3mzBlYXyNIoVhMJptopihuFL2GDuaRRriXz7dSyCOF3rf5WtcGHRZS4i4LK69k5MbWdFIyXCy2x6h3lFbC8f1Gd0LLHyAwDVTn8oF8cOug6ZeEsn/MFLWS7fyNTEr2Jv4R6lAEmMzy/f56CCGEEEIIMUweAC40xmzwE+ROsVPcAX4G1AArtdavxrT/EXjNGFMd03YX3hr3O+Lu9X3gzJj3VwPXAS9qrSNAG3CpMWaLX8W9073Ar/GK2s33287q675a62uMMbEj7ftNEnTRZdIkL0nPjVvnbG3PkfWBCIW8UfvlYysh/DCT+B7vU0cHOf5flQY6qCPK55g84P7aXGLG3LtTFiLuDPKYRht7SKVw7zGXDlzamMQx3S9qfwlUICY59zk5EN0KHRuZGfooLu2U8zTgzQxIIZ9FfIU0igb8DEIIIYQQYlwqY/8qrw+kvz4ZY1YDq/0/3wrc6v/5ceDxffSdv6+bG2N2ApP8t0fFtHcAR8S9v8Z/xfdR2nmtMeZR8AtQedXnV/h/frif+w6KJOiiy/HHw5o1XhX32Oruu3Z5ldaLJlZCN5d0vsxMfk85ZXjLX/IJcQUzOKDbDhD7Z0bIW5gSvxzfWrAKZocV0/ks67iJRrYSIpMobbhEmMGHyWJu9w7dOuirEq51gBYcgszhAqZzBs3swCGFTGbj9LMtnBBCCCGEmFj627NcjCxJ0EWXefPg3HPhwQe9qemhkLfVWlERXHrpqNoCbaQsJovvk0kFESxQTBhnkHu3zg3DohRY3wrTQxBQ4FrY3gELwjA/DA4zWMINVPEi9bxHmDwmcQyZzOlZ7C0wD+yanjeyFoiCM2VvU5jcAVWAF2Pbhl3wj7dhcwXkZ8LKxXDUPAhI1REhhBBCiFFNEnTRRSk44wxYsgRefhkaGryR80MOGdwWa+OEg2IKKUPuRym4vADuq4UXmvF3OYelaXBBLjh+/h0mm6msZCor++8wfDi0PgzR3eBM8m5gXXC3QegDEJjS//ViXPr3JrjtachIgdx0qG+G21bBuzvhkmXgSJIuhBBCCDFqSYIuepo2Dc4+O9lRjEvpDlyaD+fkQG0UcgOQM9jZ5ioNMr/2/+zdd5xcVfn48c+d2d6yJb0nJDwhIXQMTQmECBgUBPyCiDQBEUH9AvrlK/gDqSqgYEO/KKAIUkREkF5CD51QQp4QUjakJ5ts352dmfv749xNNlsnuzM7W5736zUvdu7MPfeZBfbMc885z4G6P0JsBdtS/swDIO+05AVt+o2GCPzlJRg5BHKD1Q9ZGVCYCy8pfEFgV7tvY4wxxhjTZ6U9QQ9K2v8e2JPtVfO6vW+cMf3BkJ4k5i2FR0LB/4P4ZxCvgfBwCJUloWHTHy3dAI1NkNtqs4WQ5xL1t1ZYgm6MMcYY05f1hcmOxwE5qnogcClwU5rjMaZ/8TwIj4PM3Sw5H+Ri8Y5LRYQ9iDT1bjzGGGOMMWbnpH0EHTiEoJS+qi4Qkf3SHI8xxvRLE4Pd+aIxyGg1Q6MhCnuO7/2YjDHGGNP3edRfBSTzm0K5T26HleFFZDZu//JFuJ2Ic3F7je8L7ANU4DZAKgNuUtU7gvMOA36CG2jOAv4B/EpVfRGZgtsrPSN4vAX8L3AxMA8oBkYH1wSYo6oxEZkFvAQcrKpvBte5GxiD23ouAqwBPgAebBF3s42q+rXu/JLa0xcS9CKgssXzmIhkBHvSGWOMSdCQPJi3F/zrbRhVDHlZLllfsxUmD4Pdxyb/mvE46FpYss6te99jHIy0DQN2mohkArfjvghkA9fgOv87cV9cPgS+q6rxNIVojDFmYBsPrEhiexMTeM9zqnoygIhkAwq8B/wo2A8dESkFPhKRO4HpuNnW81R1rYhkALcClwA3ANcBv1HVJ0TEw+1Rfqyq3gDcENwUOK/5mi2cHbT7XeAMAFX9RnD9K4F1qvqH4PnslnGnQl9I0KuAwhbPQ5acG2NM93x1XyjKhUffhc3Vrmr77Glw/P6QmeS/+LWNcMuToOsgw3O7Evz9NfjqfvDlvQflzow9cSqwWVW/KSJlwLu4LymXq+p8EfkDcCzwUDqDNGaw8rf6sMx3Y3ZTPQiB/3YcfzFQCKFZIZgAnv3hM6a7CoEY0DoPHAk0BCPk3wGuU9W1AKoaFZGLgXdwCfpK4AwRqQbeAP6rnfZ2ICIFwOHADOADERmqqpuS+Ll2Wl9I0F8BvgzcLyIH4KYOGGOM6YZQCObuDodPh+p6N6qdnZmaa933OnyyDiaWbU/GozH4x5uwy3CYkYIR+wHsAdw0vWZR3DS/F4LnjwNfxBJ0Y3qVH/eJ/zOO/5jv5rIARH38Rh8vLwR5PkQ8Yo9H8b4SIvTVkCXpxiTucBGZj7vH3wRciEuqfyEilwETcLPJmqePTwb+3LIBVa0Skbyg8PjlwHeA64GZwH+AC4CtncRwMvBPVW0QkfuAbwE/TzDuZv8JRumToi8k6A8Bc0XkVdw6gzPTHI8xxvR74RAU56eu/dpGeGUJjC3dcaQ8IwyF2fD0h5ag7wxVrQEQkUJcon45cKOqNqcE1cCQDk43xqSIPz+O/3DcjY5nePg++C/4sBqY6+MNd38A/SjufdNDMC29MRvTj7SZKi4i/0UwxV1EvoRLlj8NXl6Nmzr/bov3FwERVY2LyGGqejNwczAyfiNuvfrFncRwNhAVkSeAPGCsiNzQxZKylE5xT3sVd1WNq+p5qnqQqh6oqovTHZMxxpjOVde7f4bb6UXyc2BdZdvjpnMiMg54HrhLVe/BjSg0K6TzEQBjTJL5cR//ER9GueQcgFrc/4nF4C/xt73Xy/Dws31i82NpidWYgUhVHwP+BfxfcOhW4HIRGQnb6rfcHBwHN/I+Nzi3BliC28a7XSIyEwir6iGqepSqfgF3M+CYVHyeRPWFEXRjjDH9zJA8l5w3xSCzVcX4qnrYwyrG7xQRGQE8BVygqs8Gh98VkdmqOh84Gpe8G2N6Sx34leCNbzFNqAk3vJXLtltm/hYff7EPn4H/jk8sHCN0bGjb6LoxpkeuBt4RkXmq+h8R+TFwn4iEgUxcIbjm6eUnAb8WketxldeX4aa8d+Qc4K5Wx27DTYv/dyfntZ7iDnC0qtYn8oG6Ygm6McaYnZabBYfvBo+/77Z3a57m3tgE9RGYOyO98fVDPwZKgJ+IyE+CY9/HfdHIAj5mxzXqph+oIcrTVPAcFdQTZwYFfIWh7EJeukMzicgBMsGP+HhZwR+5PNxa9EYgF/wKH/8l332jzgQm+viv+8Q+jBH+f2G8MkvSTb9RTmKV13emvQ4FN5/nt3P8jFbPI8DuLZ4/CTzZQZsfA3MTvaaqfq+d99yP20at+fmV7bQxvKNrJIMl6MYYY7rl+P1hSx28/qkrIIIHYQ/OOhSmjkx3dP2Lqn4fl5C3dmhvx2KSo54YN7CSlTQwkiyKyeATarmGai5mPLvvsIGN6Yu8DA/vcA//cfAn+Hieh5cN/kRgIfB58D/yXWIeBmLgTQrh5YO/CuJPxQl/PdzpNYzpKzrbs9z0LkvQjTHGdEtWBpx3uNtSbcVG93y30VCYm+7IjEm/BVSygnomsf1/iOFkUUmUu1jH9RQQYmCMrq6lkQqaKCaD0WTjDZDPBRD6Soj4ijj+Ih8/24c4ePke/iFAk+/GCPOBHPAOcsk5AMN8/AXA19MWujGmn7IE3RhjTLd5nqvkPrY03ZEY07e8wlZK2vmaNYQMymlgPRFGkZ2GyJKniii3sZoPqSGEq2q4K3mcyxjKyEp3eEnh5XqELgnBxx7xhW60PLRPCHYBf5VP/IIY/jjwyjy8VkUzB85tCmNMb7IE3RhjjDEmyXzodCTZ7/CV/iGOz68pZzn1jA9GzX18VlDPLynnp0wmI/2bBSWFF/Zgd4/w7q2Oj/fwD/ZhZbxNcs56D462FN0Ys/M6TNBF5ADgd0A9cKmqvhwcf0hVv9pL8RljjDF9joiU4fZWXQc8hqsiGwXOVNXX0krGPVUAACAASURBVBmb6RtmUcTdrGdIq69aNUQpJpMR/XyE+VPq+ZR6JpCz7ZiHxyiyWUEDi6hlj0Gwzj50UojYdT7+Wt+VjYoD6zy8EgjNHRg3KIwxvauzvxw34VbOfBtXRfaLwfHilEdljDHG9G13Ae/iykM9DczDVY79WTqDMn3HQRQzkizKaSBKHB+fLTSxgSa+wUjC/XwC9FoaO5wFEAbKaejNcNLGm+gR/kkYb88QrPFgo4c32yN0eRivpH//OzbGpEdnU9ybVHUJgIh8CXhaRE6hv83K8mMQX+t+Do0Cz6ppGmOM6bECVf0LQLBXuQY/x9MblukrCsjgf5nIw2zkZbbShM8kcjmHMf2ugruPzxo2s4iV+PhMYzy5ZNPRV8IYUMjg+b7ljfMInx/G993vw/MsMTf9j3cHVwHjk9hkuX8mHVaGF5HZwHmqenKLY/NxmxnWtXjrDcBHwL2qekCL954HjFTVK0VknaqODI5Pw+1h/h1gHHAVbj/0Zh+o6oXBtUao6m4t2jweeBCYhNtyblt8IpIDrABuUtUbSKHOEvQqEfke8EdVXRck5/dDP6poElkI9X8Ff4t77g2B3G9A1n7pjcsYY0x/VyEilwPXquocABE5FQbJsKFJSDGZnM5ovsFIYkAWXr+rcB4nzt08x7O8C7BtrfnnmEEWE6glRn6LZLyeGBl47EVRukJOG0vMTT83HpeAJsvEbp53mqoubnlARBJqS0Rm4BLs01X1NRE5A7hHVS/t5Jy9VPW94OnJwMoO3noCcC9whojcpKopuyHf2RT3U4FSgoRcVT8IAns/VcEkVXQJ1P7K/Rwe7x6Eoe430PRRWkMzxhjT750CVKtqyyHEscDpaYrH9GEZhMgm1O+Sc4CX+ZCneJvxDGMiI5jAcMYzjAV8wN5Us5Uoq2hkM02sooGNNHE2Y9qsvTfGmFQSkT2Bh4CTdqIWzN8JNkMUkWIgB1dbpj1nA3cAC4Ev9SzaznX411NVq4ArWx1bBByXyoCSpuFfECqAUItpZKECiEeg4SHInJG+2IwxxvRrqloH3NLqmK0/NwPOY7zJcIYQajGmEyLESEpR3uFavsWrVPIZjYwii4Mo7vfbxxlj0uqvItJyivvXOnlv803yQuBOXLHWIa3ec0pQ/LzZn1X1ruDnR4LrXQqcCPwDOL/1RURkKpCvqgtF5HbgYuDRBD/PThuYtzd9H6IfQ2hc29e8EogtBb8JvMzej80YY4wxJgUaiPAhK9hCNcMpZjoTyOzBVz0fn/VsYTzD2ryWRzYbqWQIHscxvCdhG2NMS+1NcQ/Rdpl1AW63MXCJ+nFAGfCgiMxS1Q3Ba51Nca/HFXw9EPgqcBLtJOi40fN8EXkC8ICDRGSKqi7duY+WmIGZoAN4uUATbf9dRoEsGETFS4wxxhgzsC1lNTfzEDXU4+G+rQ5lCBdxAqMp61abHh6jKaOaOorI3+G1WhoooYAsbLDDGJNyG4BCEZmuqotEJMyOO6fUqOpKYKWI/A64W0SOTLDte4CLgApVrRGRHV4UkQzc2vS9VbUiOHYZLpG/qKcfrD2d7YMexmWx9+LuJni4NeuPqerhqQgmaTwPsuZA4yMQnrjja7E1kD0XPNub0phUisdh0Rp4ZQnUR2DPCfC5yZBvMx/NANCv+0jTp8SJUcNyYtSTx2iyu5FM11LPL3mQbDKZyIhtxzdSyc38k+s5i3A3Bybm8Tl+zyPkk7OtjThx1rGF05nbL9fVG2P6jC+KyFstno+m7RT3+1T11qDg2+3BbimZwMOq+nw7bd4EfBH4Ca7gW+sp7pWqemyL508DfwHO7CDGrwBvNyfngTuAhSJyebDkLak6G0E/C/gxMBJQ3JePOPBSsoNIieyjIPo+RJdDqBjwIL4VwmMg55h0R2fMgBaLw5/mwyufQH4WZIThvXL4z3tw6TEwtH/tMGRMe/p3H2n6hGo+RbmVRjbjEcInznAOYTKnEt6Jddzv8il1NDKc4h2OD2MIK1mP8hnTmdCtGA9kOqvZxH94Ax8/SMc95rIPh7Fnt9o0xvRJ5XS/8npH7XVIVefjCpInRFVfBg7o4LWRLX72cQl6szs7OGd2i6cjWhxvvsYKYH7w8z9bnbsG2ln7kySdFYm7DbhNRM5S1dtTFUDKhPKh4FKIvAGRVwEfco6FrFng5aU7OmMGtLeXw8tLYPIwN6EFoKwA1myFv70KP0h00pExfVS/7yNN2jVSwUfcQJgcCoLk2SfOBl4kRJhdOCPhttazhcwORsh9YAs13Y7Tw+NrHMqh7IHyGT4+UxnDqG5OmzfG9E2d7Vluelcia9CfFpEf4crOA6CqV6UupCTyciH7UPcwxvSa5xZBSf725LzZyCHwfjlU1sEQu09mBob+20eatNrAK8RpJJdtAz94hMhnPOt5kXEcR1arEfGOjKCEJmLtvuYBJRT0ON7hlDCckh63Y9ryy33iz8ThUx/KPEJHeDDTs33VjRmkElmI/QBQBKxv8TDGmA5V1kNOO7f/Qp5L2usjvR+TMSlifaTpliqWkEFRm+MeYcCjgQ1tT+rA3uxCHtlUUrvD8Y1UMoxihLE9DdekSPztOLErYvgLfPyIj78sTuzGGPH74/i+33UDxpgBJ5ER9GpVvTzlkRhjBozdRsGLSyCv1RLKhibIzoDSng/mDAhLFeY/CavLYehwmH0kTN+j7cwD06dZH2m6JZsyqlBoNSrt4+MTJ0zi04zyyeUiTuBm/skK1m+r4j6MIfyA47tdIM6klt/oE/9zHIb5eHke4EE++CU+/uNxmBVK7opgY0y/kEiC/qGInIzbI84HUNUlKY3KGNOvzZkBLypU1UNRrjvWFIXVW+GUAyBr4G7wmLBX58O9t0NeARQUwZpV8Ieb4Mhj4ZgT0h2d2QnWR5puGc4hrOd54kQJtfg61shGCphAHmN2qr0pjOFGvp3UfdBNii3xocHHG77jXVkv7OGH3eh6eKLdXDFmsEnkr/ZewaOZD9gWMsaYDo0phUu+BLfNh5Wb3Yhw2IMT94cjZ6Y7uvSrqYYH/wYjx0BWMMsgJwcKh8DTj8B+B8LI0emN0STM+kjTLYXswji+yir+hUcGYbKJUkcWQ5jKud3aviyHLPZj1xREm3pRYnxMOStZTyF57MlkipOwdr5PiwB+B/+eM3yotelUxgxGXSboqnqYiAwBJgDLVLX7pUCNMYPGtNHwi5OhfDNEojC21PZAb7Z0McRi25PzZhkZbp3+ooWWoPcX1kea7vLwGMexlLAnm3idJiopZFeGsj+ZAz0xbaWCKn7Jg6xmEx4ecXzChDibozmQ6ekOL3UmuATcj/t4oVbJeCN40y1BN73H24+rgPFJbLLcf6vjyvAiMhs4T1VPDp6fCFwJnA/8HfgkeOutqnpfsA/6d4Awbg/0q0VkPHA7Lqf1gHNVVUVkBW6bNx/IB+5Q1d8l8bOlVJcJuoicAFwevPd+EfFV9ZqUR2aM6ffCIZiUsl0i+6+mJoLJ0G15IWho6NVwTA9YH2l6wsOjkEkUMindoaSNj89tPM4GtjJh+1bENBDhNh5jAiMYPUC3dPOGeniHevjP+fhjfbwsDz/uw2oPb5yHt4cl6KZXjcft/Z0sExN9Y7BU7IfAHODLwC9V9aYWr++CS85nA43AT0UkE7ga+K2q/ktEjgSuB44PTvuiqjaISBbwsYg8oKqJV99Mo0SmuF+E2xT+CeAa4K3gn2ZnRCOw5n1Yvwgy82DcvlA60apBGTMIjZ/k8vN4HEIt9tLwfYhFYeq0tuf4PkTrIZQB4axeC9V0zfpIY3pgHRUsZhXj2fFubg5ZeHi8zIf8FwN3u9zQN0LEC8F/0nfJedzD288j9I0QXpZ9RzQDn4h8E7gQOEJVt4jIvu6wHIsbRf8BcASuf/0LMAq4VlWbRORioDJoKgNob4gjLzi+tZ1rrwQWAx8DNwH/h9s2tQE4Fzda/wCwFhgLPK6ql4nInUBZ8JiHu1F/SNDsPap6S7d/ISSWoMdVtTEYFfBFpLbrU8wO6ivh+RthyyrIzHbfwD96BHY7CvY+2ZJ0YwaZEaNg/4PhjZdg5FjIyoJoFNathim7wS6y4/sXvgL3PQCfVEBeCI6YCcd9EwqHpyd+swPrI43pga3UEsJrd819PjmsZXMaouo9XqZH+IQw/jwfKoAC8Irse6EZND4PjAFK2Z6XvgH8SVXfFpHLgCuALcAXgIOAXOAVEdlfVTeBy+aBG4HjWrT9lIj4wDTgIaCpneuPA/ZR1c0ich/wa1V9XETmAD8DLsPNBDgSdyPgZRHZJzj3OVX9lYgcA0zC3azPCN7znKp+0N1fSiIJ+ksi8ndgrIj8AXizuxcbtN65B6rWQNnE7cfiMVj0OIyYDmP2TFtoxpj0OOkMKC1z26xFo24k/eDDYN6JO46qv/g0XHOXu7dXXAS1Ptz5Prx9JVx3HeQVp+sTmID1kcb0QCmFxIjj47dJ0mtpYByDY52Ul+OB1R4xg89aYC5wNvA3ETkaeEhVm0e7HwJ+gxvFnq+q1UC1iCwCdgXeEJHDgN8D31RVbdF2yynujwHfEJFpbB/pngNsUtXmu4AzgR+LyP/g1rNHguMLVbUCQEReB5qHUZqvtRvwkqr6QJOILACmA6lL0FX1xyJyFPAO8LGqPtrdiw1KDVVQ/iYMGbvj8VAYcopgybOWoBszCGVmwpeOhznzoKbKbbeWm7vje5qa4Lf/gKIc9wDIBgqL4INKmP8YfOmUXg/dtGB9pDE9M4IS9mIXPmA5Yxm6LUmvpQEPj4PZPc0RGmNSaKmqNgC/DdaQXwYcIyIXquobuCT6beAV4LsikoObdj4dWBok57cAR6nqyvYuoKoREVkPZKnq5S1fE5F4i6eLgRtV9dUgkW9eW7ObiOTh1r7PAu7Ajag3n/sxcCbwq2Bd/EG4qfjdFurqDSJSCBQB64FSETmtJxccdBpr3RT2UDu/6qw8qN3Y+zEZY/qM7GwoG9Y2OQfQJbC1YXty3szzID8HnrOx2rSzPtKYnjuLI5nMKMrZwArWs4J1VFHHBXyFEZSkOzxjTO84C/g2cD9ws4jMBw4Grgmmi/8Zl6i/BFwdjGrfDGQBfxGR+SLyxxbtPSUiz4vIi7gR8bu7uP4lwBUi8gLwV+D94HgEN4L/Oq56/MKWJwU35peLyGvAAuAfqvpOt34DgUSmuD8MrAFWBc87qD1s2pVX4qo6RSOQ0aqyU/1WmDArPXEZY/q8WCevhX2I2DLFvsD6SGN6qIh8fszXWcoa1rKZXLKZwQTyyOn6ZGNMspSzE5XXE2yvQ6o6H5jf4vlGXCE2cAXbWr//ZlxC3vJYu9OQVXViIgGq6sgWPy/DjYxvIyITgfWqOq/VeWe0en5JItdLVCIJekhVT03mRQeVzByQL8KH/4KSSdtH0iN1EG+CXY9Ib3zGmD5ryi6QnQf19W1H2Gsa4eDZaQnL7Mj6SGOSwMNjKmOYyph0h2LMoNTZnuWmdyWSoL8vIrOA9whGBlQ10vkpZge7H+umui99zs1N9XGJ+8EXQOmEdEdnjOmj8nPglGPgT/dDaRQK8t0mEBvqYOgQOHJe122YlLM+0qRMlLj7ytD1ikRjjDFJpqorcNXZe1UiCfqhuA3jm/nA5NSEM0CFM+Bzp8H0L8GWcghnwvBdISM73ZEZY/q4k46G3By49wlYs8nVl9x/T/jOqVBsFdz7AusjTdJtIMLDbGABlcSBGeRzPMOZTF66QzPGGJNiiVRx31NEPGAYsFlVO1sWaTpTMNQ9jDEmQaEQHDcH5h0KW+ogJxOK2ikoZ9LD+kiTbJuJcA3LqCPOaLIJAcuo51pW8L9MZEqakvQ4Pguo5Ak2s4EIY8lmHkPZi8J29zA3xhjTPYlUcZ8NfAo8CXwqInNTHZQxxpgdZWbA8KL2k3Pfh9UV8N5KWLYB4vG27zGpYX2kSban2EwtMcaSTRgPD4/hZJGLx32sx09DHUIfn7tZx618RjVRhpLJBiL8knIeY1OX58eJUsG7fMKf+IQ/UcFC4kR7IXJjjOl/Epnifg1wiKquEZExwD+Bp1MbljHGmERU1cMfn4NFq4MSFz6MLYXzj4BRNgW+N1gfOVD4PlSsgKq1kJkLI3Zz9WJ62QKqGEZWm+NlZLKUOmqJUZDQ17fk+YxGnqWCSeQQCkbLS8mkkDAPsoGDKaaYzHbPjdHAIm6mio8JB6P/63mJEmYyjQsJY8v9jDGmpUT+wsdUdQ2Aqq4WkYYUx2SMMSYBvg+/ewY+XQ/jy1yCDrChCm58DK49EXLafs83yWV95EDQWAOv3ArrPoLm6dqZOXDw+TB6Zq+G4kGno+TpmE7+AdWEYFty3iyTED6wmDoOYEi7567mcar4mHwmbovdx2cr77OWpxnLMSmO3hiTiAM8rgLGJ7HJ8gV+x5Xhgxlo56nqycHzE4ErgfOBvwOfBG+9VVXvE5EzgO8AYdx+5FeLyHjgdlxO6wHnqqoG7Y0GlgKnq+oDSfxcKZdIgl4lIhcCLwJfACpSG5IxxphErNgEuhYmtEjOwU2FX7EJFpbDrCnpi2+QsD5yIHjjTlj/MZRM2P4/U2MtvHgLzLsOCof3WigHU8zjbGI84R2Ob6SJaeST3+p4b2gurBCniTpWU8daPMLkM5Y4xUGt+bZ8fNbyDLmM3uHGgodHDqNYw1OWoKeJv9Yn/loc1gMTIHRgCK/EagkMcuOBFUlsb2KibxSRk4EfAnNwhVd/qao3tXh9F1xyPhtoBH4qIpnA1cBvVfVfInIkcD1wfHDamcAtwHeBAZegnwpcjpvG9zFwVkojMsYYk5D1le52sdfOd6qsMKzcZAl6L7A+sr+r2Qir3oaScTv+z5SdD3UVsOxl2PP4js9PsrmUsoBKymlgFFmE8NhABB84iRG9FkdL08iniQjreJMoNYTJxsenljVUMpZJTGr3PJ8oUerIpm2B3DA5NLABH9+KzPWy+Msx4rf7rgPJ9eFNj9jDMcIXh/F2tX8XpneJyDeBC4EjVHWLiOzrDsuxuFH0HwBHAG8BfwFGAdeqapOIXAxUBk1lAA1Bmx7wTeDzwMMisruqftjOtVcCi3H9903A/wE5QTvn4kbrHwDWAmOBx1X1MhG5EygLHvNw3wMOCZq9R1Vv6cnvpMsicapaCbwKvAK8qKpbenJBY4wxyZGfTYcTYZtiUJzfq+EMStZHDgC1m93+hV47X4my82HLyl4Np5hMLmMScyhlE02soZE9KeQnTGYi6dnCYQq5TEBZBUAJYXKJUsAmRjKTRcDr7Z7nkUEeY2iiqs1rEbZSyCRLznuZv8knfocPw328ceAN9fDGA/k+sd/G8CO9X4TQDGqfxyXCpWwfOH4D+KGqfgFYBlwBDMXNUvsWcALwGxEpVtVNQaIuwI3AT4M25gAfqOpG3BT473Zw/XHAKar6g+D8X6vqYcHPPwveMxE4A9gfOFxE9gmOP6eqBwEHA5Nw+6UfApwiIj1aG9XlCLqI/AkoAF4DThOROar63z25qDHGmJ6bNspVda+sgyEtdl5qiLjt2fadmLbQBg3rIweAnCEQj7miDq2no0TqoXBkr4dUSibfYBSn4K6d7iQ2TiNzeZYSZvA6ZUTwyCPGPDayDzWs5RlGMafNeR4e4ziWxfyaMDnbCsLFaCBCBVM4s7c/Sht+g4//Vhz/dcADbxZ4+4XwsgfmjYP423GIg5ez4+fzijz8lT4s9mGPgfnZTZ+0FpgLnA38TUSOBh5S1a3B6w8Bv8GNYs9X1WqgWkQWAbsCb4jIYcDvgW82rz8HzgEmicgTQBawl4hciptG3zzSPQfYpKqbg+czgR+LyP/g5pdEguMLVbUCQEReByQ43nyt3YCXVNUHmkRkATAd+KC7v5REprjPVNVZwc+3BBc1xhiTZpkZ8L0vuoJwWzdDbiY0Rl2ecc5hUFaY7ggHBesj+7uikTBcoGI5FI3afjzaCPEmmHxIx+e2VFsBm5a6JH/YrpDbftG0nZHuxLxZzK8nL17Dkd4aZntbiHhhsokTBmJkE6W6w3PL2I/JnE4592/bWi1EJlP4FqXs1UufoH1+jU/8hhj+CmCIDz74Cz28Z2OELgnj5fWN339SbQUyfWjvvy3Pw69r9xVjUmWpqjYAvw3WkF8GHCMiF6rqG7gk+m3cLLXvikgObtr5dGBpkJzfAhylqisBRGQobjR7sqrGgmO34YrFXd7y4iLScmPaxcCNqvqqiEwDDg2O7yYiebi177OAO4AjgeZzP8atd/9VsC7+INxU/G5LJEFfKiKTVHW5iAwHyntyQWOMMckzZQT8/CR4/VNYuRlGFMGsXWBEz3MDkxjrI/s7z4MDz4Hnb3TbrIUy3Yi658HnznRr0zvj+/D+Q/DRI80l2N25exwP0+e1XySiP4m8S2bD3UyKf4Dvf0Aso4wtuXsSySh1L1NBCXt0eLqHx2iOYDgHURPUnypkMmF6fwu71uKPxfFXgjcJtqWlZeAvg/gTccLH935BvlTzJoHf1Pa/Sd/33cj6yH7+36vpz84C3gV+BdwsIhFgHa4ye5WI/BmXqHvA1apaISI340bI/+JmuaPB48Hm5DxwG/BXEflNMNLdnkuAW4ObALnA94PjEdwI/gjgH6q6MLgWAKr6qIjMFpHXgljuV9V3evKL8Hy/87UmIrIMGIP70jEGd/egAfBVdXRPLp4IEZkILH/22WcZO3Zsqi9njDEmTT777DPmzJkDMElVV6Q5nISks4+0/jHJYk2w9kPYvByyC2HcPpBf1vV5n74Ir90GpRMglLG9rS3l8IXvwfj9Uxt3KkU+gNobIDSU2tBWNvtvkeNnEvZ91hceSl04RIQKZvL/KOygUNzOaCLKZqrIJpMSUjsFyI/7xM6PQamPl7VjUuo3+lDpEf5dGK+/32BpxW/0iV8Ww6/FrUP3PJecf+bh7eoR+lFowH3mgSLVfWRvb7PWHwT97L2qekBvXrfLEXRVndwbgRhjjDH9jfWRA0g4E8bu7R6J8n348BEoHLE9OW9uK78MPnq0Wwl6lDiLqOU9qsnAY1+KmEpem33IU8r3ofEfECqFUBF5FBL3olR6i8iI1ZDV8Dp1+QewGxf1ODn38XmO9/gXr1BHI3F8ZjCBU5nDSEqT9IFaieNup2W281oWUE8wGyI1l08XL9sj9MMw8d/H8MvBDwFxD28Pj9DZlpwPZv09mR5IEikS92XcvPptc5FU9UupDMoYY4zpD6yPHORiTVC7EUontn0tZ4gbRW+v+Fwn6ohxC+Uspo4cPOLAk1RwAEWcwxgyut6AJzn8OoiVQ8gNqHl4FDKZfMbTFNpMabSaydxAKAn7sj/DO/yVpxlNGWUU4eOzlDVcz71cxekMIflbUngZHt5E8DdDm3sAFeDt6uGFBmay6o3wCF0ZdvN+qnwY6uGNGpif1ZieCGYq9OroOSS2Bv1G4NuAbR1jjDHG7Mj6yMEsnAnZBdBUD5mttkCL1LpR9J0ckfw3G1FqmUjOtiJxPj6vUslu5DM7VSPKrXkZuN144/h+mKbgWYaXQTZFuHtSPU/OG4nwEK8wlqFkk+UujcdISihnAy/zIfOY1UUr3eMdH8K/IYaf428rCOfX+lAFofN76UZImnieBxNgwE0RMGYASCRB/0hV56c6EGOMMaYfsj5yMPM8mHYUvHs/lE3anoz7PlSvh/3P2KnmosR5ni2MJnuHCu4eHsPJ5Ck292KCng2Z+7O54W0WRsZQFXep3JgM2D1zHTl5JyTlMuvYQiNN25LzloaQz3t8mrIEPTQzBOf7xO/28TcFNZkKPUIXhPB2s8TVGJMeiSToDwdV6T5uPqCqZ6UuJGOMMabfsD5ysJMvwuZlsOptCGe4dct+FCYdAlMO7fL0Zg3EeI2tKDWMJYfRZJPXYoQ6lzAbaUrBB+jYQv8E1tYrxaGVZIXKgDiN0c28EJ/IAUVzSMZmEZlkEMfHx2+zrVyUGLktEvc4UTbzFut4jiaqKWZ3RnI4eYxq3WzCQgeE8fb14TPcHYixbvq7McakSyIJ+veAX+B2TjTGGGPMdtZHDnYZWXDIBW4P9LUfumNj9oSyyQlPb19PIzewkk1E2EyUTVTzEbXsTQHjcVPnt9LE5F7cmizuw13Vw8gOXcEM70XG8jpxwpSHjuaV6ME01eVxTFHPrzOKUsYwlC3UUNqicruPTyV1fJ6ZLh5iLOGPbOJ1sighTBbreZ71vMAMfkgRU7sdg5fpkYQi9MYYkxSJJOjrVPW+lEdijDHG9D/WRxoIhWD4ru6xk3x8fs9n1BJjYpCMv0M1uYR4lxpKyCSLEFXEOIZhyY68QxtjUBGD8ZnFLOErLOEr214rCMPrdSQlQffwOIsj+Tn38RmbKKGACFEqqGZ/dmVvpgCwlffZxOsUMGnbSHsG+UTYwlL+zN5ch9dbBfSMGYDuTcE2ayd3URleRGbgbnLnAQXAY8CVwFBcjZcJuGIXq4CLVHWdiJwBTFPVS1u1lQn8LzAXiAFNwOWq+nqwXdonwAGq+nbw/vOAkap6ZTI+bDIlkqDXi8gTuI3jfQBV/XFKozLGDCi1jfDaJ7DgUzegdNBUOGAXyG275NCY/sb6SLNzInUQj7q91j2Pchoop4HxZAMwgVzqibOEOmqJ8Q7VTCWPbzGaGRR02GwlUZ5iMy+xlShx9qOIoxnKqKDdnRUimK3fThH6OJDMWeCTGcVVnM5zvMv7LKeYAk7iUD7HNDKCaf4beJlMCttMg8+ihFrKqWM1+YxLXlDGDD7jgRVJbG9iZy+KSDFwL3C8qn4iImHgAeA84BTgRlV9OHjvEcCjItJZQYqrcMn8oaoaF5EJwH+C3VZ8oAq4Q0T2V9XGHn62lEokQX8k5VEYYwasyjr42aOwZiuU5rm/kHe+CPMXwQ/nQUHvzdg0JhWsjzSJqVwD794Ha98HPBgyBvb6L6pGTyKEty3xRUjlqQAAIABJREFU9IDdyGcSuSynnqnk8mMm77AevU3TRLmW5WwkwgiyCBPiNSp5gyouYxLjujE1fmgYxmbClhiUtrp0RQy+nITR85ZGUMLXOZyvd/B6lDpCHX5t9YgTSW5AxphUOxZ4TlU/AVDVmIicBkwH5jUn58Frz4jIp8AXOmnvVGCSqsaDc1aKyO+AM4A7cCPoLwLXApek4PMkTSJzge7GTTn4HFAM/D2lERljBpR/vwvrKmHSUBiSB8V5MGkYrNwMT32Q7uiM6THrI03XajbCM9fBhsVQPM49Gqvh+RsZum7ptiJpLeUQIp8wB1LSaXIO8Cyb2UiECeSQQ4hMQowhGw+4n/XdCtnz4LRiqIvD2iZo8t3PK5pgYhYcmNetZrutlL2IUNXmeIwIITLIY0zvBmSM6anRwLKWB1S1Bjfy/mk7719GsDlgayIyHKhQ1WgX5/wEmCsin+9mzL0ikQT9j8Bk4GncL+xPqQzIGDNwxOLw0mIYXdz2tVFD4LlFvR+TMUlmfaTpmj7j9kovGgVeyGW/ucWQV8qotx9gD7+AVTTukKRXESUTjwMTqJX+ElsZTmab48PI5CNqqCPWrbCnZsMVw2HvXDdqHgVOLIIfDYPcXl7uPZQDyaKYOtZu+z3FaKCOVYzjWMK9WEDPGJMUK2HHdSkiMglYT/vT46cC5R20tRUoFZHW02x2OCeY2n4mcBuQ362oe0Eif16nqurFqvovVf1vCKp1GGNMF2JxiMQgo52/NJlhqIu49Y3G9GPWR5qurXoL8oe2PZ5TBFVrObs+n2nks5KGbY8ocBETKG0n8W4tBoRouyjcwy0ritH9P7TjsuC8Mrh1DPxylCsMl5+GWmxZFLE7lzKEXamlnFrKaaKayZzGaI7q/YCMMT31KHCUiOwC24q8/RLYHRgZrB0neO0oXP/6QnsNqWoEuB+4VkRCwTmTgfOBO1u99x3gHuB/kvx5kiaRNeg5IpKnqnUikgtdzLMyxphAZhh2GQ4bq6G01X3KzTUwY2zCuxAZ01dZH2m6Fs6AeLz913yfwlAWP2QCK2lgHRHyCSPkkZVgVfLPUcR8tjC2VUG4LUSZTC4FA+Q/y1xGMJ2LibCVGA1kU0YogRsYxpi+R1WrROR04LYgqS7E1XX5Pa5Y3M0i0lx0dRVuXXpMRABODwrHNZuNS7ivBBaISARoBM5W1WVBFfeWrgO+TB+VSIJ+C7BQRD7ELdq/IrUhGWMGCs+D4/eDn/8HssLbC8JV1bvR82P3SW98xiSB9ZGma5M/Dwv/Admt7lTWbIQR0yCnCA+YSO62rdZ2xpGUsYBK1tLICLLwgAqi1BDjAka0qXze32XRzropY0xPldNF5fVutNepYMuzw9t5aQOuknt759xJq1HxFi4PHq3PWQEc0OJ5FNi/q/jSpcsEXVXvFpHHcWvslqvq5tSHZYwZKGaMhe9/Ee5+DcqDvx5DC+Gio2HKiPTGZkxPWR9pEjLlMFixACpWQMFwCIVdch7KgH3a/Q66U4aRxWVM4h+s512qiREnk2oKWM4feZkZTOBI9mMMrabZ+z74dcG6+J2/MWCMGTi62rPc9J4OE3QRKQL+AHxbVStE5EjgEhE5R1Wrey1CY0y/t+8k2GsCrNvqRtVHDoFQGtYwGpMs1keanZKdD0dcCkvnu0djgxtVn3YkFI1MyiVGkc2FjKeGCL/jUT7kEwopIoMMXuNjXmURP+RrSHNNpugnUH8fxJYCHmTsAblfg/DYpMRjjDGmezobQf8D8AZQEzx/ABgD3IrbZ26niMgQ4G9AEZAFXKSqr4nIAbgpglHgKVX96c62bYzp+8IhGFOa7iiMSZqk9pFmEMgugBnHuEcKfcxyPuQTJjNy29T2MWSzlRpu5wmu51uEop9CzXXgFUBoAuBDVKHmWii4AsLJuWlgjDFm53U2hjVOVW9WVR/cXH1VvRHYpZvXugh4VlUPxW0Y/7vg+B9wawwOAWaJiK1KNcYY09clu480Jile4SOGkNdm3XkxBWykkjX+Jqi/P0jOy9y0Ji/kknK/CRofT1PkxhhjoPMEvYNyo0S6ea1f4faLBTdy3xBMEcxW1U+DLzlPAnO62b4xxhjTW5LdR5oU8vGpZhkbeY0tfECcpnSHlDINRMjosGq7R5RqiC4Fr50pTaHh0PRmSuMzxhjTuc6muH8iIseq6sPNB0TkK8DarhoVkW8B/93q8Jmq+qaIjMRNdf8Bbrp7VYv3VOMK7RhjjDF9Wbf7yJ0RbD3ze2BPtm8ZszSZ1xjoIlSymN9QzVI8PHwgkyJ243sUDsAJD/swhXt4nmIKdjjeQIQcMhnFsGB/Sx/aVHePk9gGP8YYY1Kls7/ClwB/F5ErgOXAOGAj8M2uGlXVPwN/bn1cRGYC9wKXqOoLwQh6YYu3FAJbEw/fGGOMSYtu95E76TggR1UPDGq23AQcm+RrDFg+PsrvqWUF+UzYNu07QiWLuIm9+RlZFHXeSDzmHhlZvRBxzx3IdJ7kbVazmVGUECJEHQ2sZQuncQTZXhFk7AXRjyA8aseTYxsg5+j0BG6MSS+v4ipgfBJbLMcv7bAyvIjMBp4HTlbV+1ocfx94BzgPuAaYhbujWIMrzLpKRO4E9gEqWjR5GvALoLmIxkRggaqeHLR7EnA7MFVV1yTh86VMhwm6qm4FjhaR8cBooLwnH0ZEpuOK6JykqguDa1SJSEREdgGWAUcCViTOGGNMn5bsPrIThwBPBNdcICL7peAafUPdFmisgfwyyMpLTpOsogrdITkHyGIINaxkM28yqqOVdXVb4MN/w7KXIB6FoVNgzxNgxG5JiS1VCsnjUk7i78znPVyF9iLyOJuj+QIz3ZtyT4SaxRD7DELDAB9i6yE8FLLnpjN8Y0z6jAdWJLG9iQm8ZzHwdeA+2DaYmx+8djOwWFUvCV77KnA/cGDw+o9U9YlW7TUn4yW45L/ljO6zgd8A5wJX7txH6V2J7INeTgIbzSfgeiAHuEVEACpV9Vjc3ZG7gTCuivvrSbiWMcYYk3JJ7CM7UgRUtngeE5EMVY2m8Jq9q24LvHUXrH4v2I/bg12PgD2Oh3Bmj5puYBMeoTYF0wDC5FDHqg5OrIZnroe6zVA4yu1bXr0envkZHPrfMHavHsWVasMo5nscRw31NBChhALCLdelh0e7au2NT0LTG0AYco6B7CMgNCRtcRtjBp2FwK4iUhzc+D4VlxdOwQ3cfqf5jar6kIi8mGC7PwV+o6prAURkElCKy0ffEZFrVXWHYiTBiP7PcbVk/g/Xt18LxIBPgW8D38DNYisChgJXqeqDIvIhsAS3FO07bN+5LAO4XFWf25lfSq8tNAqS8faOLwAO6K04jDHGmH6kih2XgoUGVHIebYTnboCajVA81iXosSZY9B+I1MGsM3vUfCZF+PjtvhankWyGtn/ispehZgOUTtx+LL/M3TB45x4YvQeEOquz2zcUkEsBue2/GB4BeafhZoUaY0za/BP4ajBt/XO4JHkWsK55p5Rmqrq5xdNfiMilwc9Pq+q1ACIyHFd0vOXo+beA21W1UkReA44nGLVvJUdVZ4mIByhwiKpuEJGrcbuQNQEFwFxgGPCGiDwcHLtaVd8VkRuDeG4RkTHAyyKyi6p2VFy2DasEYowxxvRdrwBfBu4P1qB/kOZ4kmv1QqhcDWWTth8LZ0LJRFj2otszvGBYt5svZDK5jKSBjeSwvZ0o9UCIoR2ND6x8DfLK2h7PKYIt5VC7EQpHdDsu0766OLxcCy/XQcyHWXlwaD4M6agovTFmILgHuBW33Pml4Ngm3Mi61zJJF5FTcEumof0p7gAnAveoaiw4J4wbmV8uIl/GjaRfANwnIo/ikusPgAdxSTm45HsUru8FyAWewo2kvxAk2+tFZEvwXlqcuxtuFgCqulpEqoL3rE/0F9Jhgh7cXWh929kDfFU9KNELGGOMMQNNL/aRDwFzReTVoP2eDSn3Nes/hsx2RnhDIcCDLat6lKB7hJjGhXzEjdSwghBZxGkiRJipnEtORyPoXoi2/3oBv/lY2ynzpmdqYvDzTVDeBEODlQ4PVcH8WvjxMBhqQ0rGDEiqukxE8oHvAf+L29GrCbf99oXArwFE5ETgB6p6T5A0d+QIXHG5Zl8C3lTVrzUfEJElIrKHqh7T4thstm+hugn4DDg2GHX/Cq5I3Xhg3+D9I3DT2DcE5zSf+zHweeDdYAS9BGg58t+lzv7cnbwzDRljjDGDSK/0kcFd+vN641ppkZXvprS3y4eM7B5fIo/R7MN1VLCQWlaSRSll7Es2JR2fNOlgePtvbsS8pYZKKBrZo5sGpn1P18CqCExqUSy/IASro/DPKji3nW3bjTEDxn3AN1V1iYg0b7l9EfDL4Aa1D2wBTkigLcGNxjc7B/hTq/f8CTeKfm57DahqXES+D/wn2O60CrceaDwwUkSeBYYA56tqrNUNg+uA24MbCrnAuTu7NM3z/fbXZjUTkSnA14BM3C3j0ar67Z25SE+IyERg+bPPPsvYsWN767LGGGN62WeffcacOXMAJqnqijSHk5B09pEDon+sWAmPXwEl41whtmaNtdBUB8f9Kj3bm0Xq4OnroPIzKBoFoUw3rT3aCIddAiOn935MA9z310COB7mtlvbHfFgThVtHQ1bfX/ZvTMqkvI/s5W3W+iMROQOYpqqXdvXenkhkwtBfgUdwW72swc3TN8YYY4z1kT1TMh6mz4NFj0B2AWTmuVHqeAy+8P307T2elQdz/gcWPwlLn4emehg1E3Y/FoZO7vp8s9MafShsJwEP4Uoox3o7IGMGmwGWTPdniSTodap6vYhMVdWzROSlrk8xxhhjBgXrI3vC82CvE92I9CfPu1Hq0XvC1MOheEx6Y8spdLHtdaJbe+7ZuvNU2iMHFtbDqFY7622Nw6RMN7pujDHppKp39sZ1EknQPREZCRQGC/htFZAxxhjjWB/ZU54Ho2a4R1/VMjmPRGDDBsjOhqFDLXFPkmMK4Z16qIhBSVAkrirmEvRzSuzXbIwZPBJJ0H8KfBW4C1iOm85njDHGGOsjBw/fh2efhYcegvp6iMdhyhQ4/XQYNy7d0fV747Pg0mFw11ZYFdQNHJYBPyiB3TvYyt0YYwaiLhN0VX1RRBYBu+AWxVekPixjjDGm77M+chB59ln4y19gzBgYNswl7GvXws9+BlddBWXt7Jve2+Jxt14+IxvC/W9fsinZcOVwN4oeB8rCELKRc2PMINNlPUwROR94DbgUeE1ETk15VMYYY0w/YH3kIBGJuJHzMWMgJ8cd8zyXqNfXwwsvpDc+34el8+HfP4QHL3CPdx+ASH164+oGz4OyDDd6bsm5MWYwSuT26jnATFVtEJE84AXgb6kNyxhjjOkXrI8cDDZscIn4sHb2Py8pgYUL4fjjez+uZh88DO8/CIUjoXQCRCOw6FGoWOa2hWu5hZ3pk+JxaIxCdgaEbDs5kw7e1SnYZu0nHVaGF5HZwPPAyap6X4vj7wPvAOcB1wCzcPug1wDfVtVVInInsA/QctbaacAvgJHB84nAAtwN9OY2PSAb+Juq/rbHnzBFEknQ1wPNm6vXA5tTF44xxhjTr1gfORhkZ7tR6vaquTc1QUEad9err3Tb1JVM2D6tPSMLSifC+kWwbhGMnpm++EynYnF45iN47D2oqoeCHDhqDzhy5v9v777j5Krr/Y+/zszObO+7aZsKSb4hEFoIiZSAgDS5IrarIEpRBAui4vWneH/q795ru1wVUUAU5XqBC6KCVEF6Ir0kSMk3vbfNJrvZvlPO749zlmxns9mZMzP7fuYxj535npkzn5Odne/5nG+DPF1XkfSaCqwfxf1NH8ZzVgCfAO4CMMbMA4r9bT8DVlhrr/a3nQf8AXiPv/1frLV/7bO/j/vPrcRL/r+Cl5C/Za092d8WAe41xmyw1t4/oiNLseEk6CFgmTHmWeAoIGKMuQPAWnt+KoMTERHJcKojx4KaGjjoINi+vXcruutCYyNccEFwse1eB0m3/5hzx4FwPmxdrgQ9g/1+KTzxFkyqgMpiaO+CO5+HLXvgsydr9nrJecuB2caYCmttI/BJ4HZgJnAGcEX3E6219xhjnhnmfr8HXG+t3WaMmd5zg7U2Zoy5Dq/FvVeCbox5CqgHKoH3AzcAs/Dq+m9ba5/y551ZAhyK14L/CeCjwCX+876D14p/FdAJrAIus9bGhhn7u49BB/4D+ALef9bVwJeBX/k3ERGRsUx15FjgOHDRRV5CvnEjNDfD7t2wbh0ccwzMnx9kcHi9PwfguhDKvsnixootu+HpFTCjFgqjXllh1Hv87CrYpP44Mjb8GTjPGOMAxwLPAtXAdmttry83a23Pv4ofG2Oe8m/XdBcaY8YBpwK3DvGeO4CaQbbdYa09DS/h3mWtXQycC/zS314E3G6tPQGvB8Dn/PI9ftkyvAsEp/iPG3s8Z1gG/dY2xpxjrX0AmEOfb35r7c378yYiIiK5RHVk7ovRQoy9RCgnQrG3lNq//Zs3Idzy5VBc7LWcz58PeQEmwTUzIRyBeKc3e3s314VEF0w+KrjYZEhrdvrXUPq0knc/XrEdpg6WQojkjjuAG4G1eC3TALvwWtadnkm6MeZ84G7/4UBd3AE+gpdkJ4Z4z2nAZmPMR4Av+mVf839a/+c84ERjzEL/cZ4xphqIWWu7W/KfBc7Cmyy2+3UHAW9aa5v9x88Apw8RSz9D1Sjd64VMwDv56P76GOQyrYiIyJihOjJHxWhlPXdSz7MAODiMYzHT+Rjh6mpvMrggJ4TrK78Yjv4EvPg7KCiHwgqItUHzTphxHNTMCjpCGYTjsO+bYwBhdW+XMcBau9YYUwxcCXwTL8GNAY8AXwJ+DuAn01dZa+8wxgy1y9PwJpcbkDEmH6+32w+stY8Bf+yxDbxVHsFrHd9srf2+MaYQuAbYgzeU7Qhr7XLgeOBN//ndr1sHzDXGFFtrW4GTgJXD+b/oNmgXd2vtf/t3bwdWWWu/BxQCv9+fNxAREck1qiNzk0uSFVzPTpZSyCSKmUIBE9jOE6zkJtxMvf4y673w3q9D+SRo3gGhCCy8BBZ9VlOCZzAz0TsRj/dp50v4p/lz69IekkhQ7gKmWGt7JrJfxUt0nzXG/B24CPjwMPZl8Frje5rrd4V/AngMuNtPzofyK2COMeZpvJbyDdba7iT8G8aYpUAdfYa0WWt34Y1Df9IY8zxeV/obhxH3O4bTJ+u/8a4YADwE3ILXr19ERGSsUx2ZDTpboX0P5JdCYfmgT9vLKvbyNsVMx/GbNkPkUcw0drOMVjZQMqyJiQMwaZ4mg8sy48rgnCPh3lehugRKC6ClA3a1wFlHwMSKoCOUMWYjw5t5fX/2Nyhr7VPAU/7964Hr/ft/Bbq7rl8+yGsvGmK/h/Z5vB4oG07A3TO9+/c78SaSG8gl1tqOHo9v7bOfO/C67o/IsAZN+f+BWGufMcboUqyIiIhPdWQGi3fB8j/Cqie8x24Spi6A+RdAQf/ztRbW4BB6Jznv5vgTsbWyMXMTdMlKH1oAk6vgweWwdY+XlH/0WFg0M+jIZMwZYs1ySa/hJOiNxpjL8Aa/Hws0v8vzRURExgrVkZnshd/C+uegYoq3DFkyCRtfhr074PRv91uaLET+EN3YHUJEUx+zjCmOAwtnejcRyXzW2umpfo/hXOm/CJgL/Nj/eUkqAxIREckiF6E6MjM1bYUNL0DV9H2JeCgElVNgzwbY8Va/l1RyOOCQpPdytQk6cQhTztzUxy0iImPau7agW2vrjTHfBwr8oqLUhiQiIpIdVEdmsD3+8EdngKmwQ3mwYwVMOrxXcQG1TOdjrOd/CVNMhBJiNBOnnZlcTHR4wxhFRERG7F0TdGPMDXjru20DfxAWHJfiuERERDKe6sgM1nNN8L7cBESLB9w0iTMpYQbbeIx2tlHFkUzgNMpQH2QREUm94YxBPxY4uMe08iIiIuJRHZmpxhnIi0JXO0QL95Un4t5kcZOPGvBlDg7lzKGcOWkKVEREZJ/hjEFfzb6ueyIiIrKP6shMFS3y1gJv2emNR+9s8dYIb9wI887z1gwXERHJMMNpQZ8KbDDGrPYfu9Zadd8TERFRHZnZpi2E0gmw8nHYs96bMG72qTBOreMiIpKZhpOgfyLlUYiIiGQn1ZGZrmoaLNLk+iIikh0GTdCNMZ+x1v4GuBz6LQr6rZRGJSIiksFUR4qIiEgqDNWCvsn/uQpIpCEWERGRbKE6UkbHnj3wzDPw2mtQUACLF8OCBRCJeNu3vwVvPwy710NJLZgzYOoCb013OWBx2mjkDeK0UchEypiFM6wpmkREUmPQBN1a+4h/9+PW2tPTFI+IiEjGUx0po2LbNvj+96G1FSorvWT9ppvg2Wfhyith/VJ48VYoKIWCcmhtgKW/gDlnwPwLBl7jXYZtN8tZyQ0k6MTrCBOilBnM4UqiVAQdnoiMUcMZg95ojPkAsBJIAlhrV6Y0KhERkeygOlJG7rbbIBaDqVP3lVVUwPLlsPRJ2Hk3VNTtW9M9L+ol6isfg4NO9MbXy4h0UI/leqJUUkjxO+WtbGQVv+ZQvh5gdCIylg0nQa8FvtLjsQuckppwREREsorqSBmZxkZ4663eyTl4reLV1fDUPTAnsS857xYKgROCLcuUoB+AnfwdlyR5PZJzgELqaOIt2thGERMDik5ExrIhE3RjTBnwfmttW5riERERyQqqI+WAdHX5yfYA3dSjUejYDYQHfq0TgkQspeHlujY290vOARwcIEQnDUrQRSQQg86CYYz5IrAcWG6MOSN9IYmIiGQ21ZFywKqqoKQE2ga4vtPQAIcd791PJntvc11IxmDC3NTHmMOKmESc/v/3Li4uSfKpDCAqEZEhEnTgfMAA7wGuSk84IiIiWUF1pByYvDz48Ie9ieLa270y14Vdu7wZ3M/4IMw+BXavg1iHtz0Rg90bYPxcGGeCiz0H1OJdAInT3qu8g22UMZtCJgURlojIkF3cO6y1XcAuY0w0XQGJiIhkAdWRcuBOPNFLyv/4R6iv9+5Pnw6f/jSMHw+150NRFbz1ELTshFCeN4P7vA9CaJDu7zIshYxnNlewil/RQQyHEC5JipjMbD7nd3UXEUm/4UwSB+hbSkREZBCqI2VkHAdOOgmOOw527vRazmtr941LD4Vh7vu9tc+7WiBS5M3kLqOihmMoYzZ7eJ04eyliCuUcQmjYp8ciIqNvqG+gQ40xd+CdeHTfB8Bae37KIxMREclcqiNl9EQiUFc3+PZwHhRqXe5UiFLGeE4IOgwRkXcMlaB/rMf9m1IdiIiISBZRHSkiIiKjbtAE3Vr7dDoDERERyRaqI0VERCQVNMhGREREJFVaWmDjRq8b+4wZ3uztOWIPMZ6niY20M558FlHOBPKDDktEJKvlTi0hIiIikimSSbjvPnjggX1rmZeWwiWXwBFHBBvbKFhJKz9hI10kKSREB3u5j3o+Sx3vQePlRURGaqh10EUyUgKXFuLESQYdioiIyMAeewz+9CdvubSpU71bJALXXQcbNgQd3Yi4uMToop0Y17OJIkJMpYBaokyhgHFEuIWt7CYWdKgiIllLLeiSNRK4PEoDD7GLVpLk43AG1ZxNDVFdaxIRkUwRi8H993szs0ci+8pLSqC5GR55BC67LLj4RmA1b/AEf2YLa9lFLZYTWcBMep5KFhAmQYxX2ctpVAcXrIhIFlNWI1njNrZxB9v9K/b5VJDHn9nJr9iMixt0eCIiIp6mJmhrg4KC/tsqK2HlyvTHdADe4hV+z3/SyC4mMI18atjFNpaxlFif1vI8HPaoBV1EZMSUoEtW2E4nT7KHGRRQSBiAfELMoIBXaGYt7QFHKCIi4issBNeFRKL/to4OqMieMdoJEjzM7VRQSxlVODhUkqSQElppZgebez0/hss0CgOKVkQk+ylBlwO2iy7uYSc/Zj23sIWVtI56i/ZqPwEP4fQqd3AIAW/TOqrvJyIiMmLFxbBwIWzb1rvcdaGhAU49NZi4RqCB7TTTSBEl75TV0Mk42uigku1+gu7ispMYNUQ4gtKgwhURyXoagy4HZBVtXMsGYiQpI8wa2niGPZzHOM6lFqdPQj1S4SG2uUBklN5HRERkVPzzP8P69d6tuNhrTW9rgxNOgGOPDTq6YRuoHneAk9nOY5Szh1o20oELTKWAK5hMvtp/RERGTAm6jFicJDeymSJClBMFoAKI43Iv9RxJKdNHqZuboRgHiJEk0qPiT/gt9Yf1uLIvIiISuIoK+M534JVXYNkyr9v7okUwZw6EsieBrWYC5VTTwl5KKHunvJAER/EKx3ERk5lKGXlMo2DULsyLiIxVStBlxNbSzh5iTKP3JDh5OOTh8AJNo5agVxHhw4zjLnZQSR5l5NFKgl3EOItqJpE/Ku8jIiIyagoK4PjjvVuWChHiHD7FbfyEGJ2UU02cGLvYRh3TOYVFFGjMuYjIqFGCLiPWTnLQ6+RRHJqIj+r7vZ8aJpHPQ+xiM52MJ8rHGM9CynXFXkREJEVmMY9LuYan+QureZNCijiJD3AcZyg5FxEZZUrQZcTqyMcFkrj9Jm9rJ8khFI/q+zk4HE0ZR/foYiciIiKpN5WZXMjXcHF1UVxEJIWyZxCUZJwaopxABRvoeGcsuIvLDrqoJMJ8JdIiIiI5Rcm5iEhqqQVdDsiFTCRCiKfYjYNDEpeDKeSz1FE05NzrIiIiIiIi0pMSdDkgUUJ8iomcSy31dFFMmAlEdYVdRERERERkPylBl1FRTh7l+jiJiIiIiIiMmMagi4iIiIiIiGQAJegiIiIiIiIiGUB9kkVERERSzW2D+DogBHkzwCkIOiIREclAStBFREREUsV1ofMR6PgTkAAXCEWh4ALIPzHo6EREJMOkPUE3xswBXgDGW2s7jDGLgOuAOPCotfZ76Y5JguHispZ2GoiWSki8AAAfQUlEQVRRTh4zKSKs2d9FRCSXdD0PHbdDaAo4Ua/M7YD230CoCiKHBhufiIhklLQm6MaYMuC/gM4exTcBHwbWAg8aY4621r6azrgk/Rro4no2sZ6Od1Ly8US5kqlMIj/Q2EREREaF60LnX8AZty85B697u1MGHfcpQRcRkV7SNkmcMcYBbga+BbT5ZWVAvrV2jbXWBR4BTk1XTBKMJC4/YxPb6GIa+UyjgGkU0Eyca9lAJ8mgQxQRERkFHZDYAaHS/pucCkisOaC9x2ljEw/wMl/jBb7AKm6mlc0HtE8REQlWSlrQjTGXAl/pU7wBuNNau9wY011WBuzt8Zxm4KBUxCSZYyVtbKaDafSeIKeWKOvp4HWaWUB5QNGJiKSXMaYcuA2vTowCX7XWPqchYLkgCqF8cLt6t6AD0AGhihHvOU47b/JjmllHIeOJUs4uXmYXL3Eo36CMmQcWuoiIBCIlLejW2lustYf1vAEGuNQY8xQwAXgULznveVm5FGhMRUySOerpwpslp788YGuvERAiIjnvq8Dj1tqTgIuAX/rlNwHnAycAC40xRwcTnoyYE4bIeyG51evu3s11vZb16Okj3nU9z9LCOkqZQR5FhIhSxCTCFLCW/8EdpJ4VyVWuPvKSI9I2Bt1a+86lXGPMeuB0f5K4LmPMwXhj0M8A1EKQ40rJg0Emg4sDlUTSGo+ISMB+yr65WfKAjp5DwACMMd1DwDRHS7Yp/CdIrPJuFAGut+Ra5CjIP3nEu93BEqJU9yuPUkUbG+mkgQJqRrx/kWzQ3gV/e8O7tXSCmQDnHg2H1AUdmcjIZcIya5cDtwNhvC58LwQcj6TYXIopJY8m4pT3+Ai2kiAfh6MYYKyeiEgOGGQI2MXW2peMMRPwurpfRTqGgLkuJDdBchc45RCeAU7apqYZO5wiKPkGxP8BXa/4reoLIG+ud3+EXOI4A3SEdHBwAZfEAQQtkvm64vCTh2HldphYDpXFsHk3/PAB+OL7YIEGzUqWCiRBt9ZO73H/eWBREHFIMKKEuJIp/JQNrKeDfBy6cMnD4UtM8VvYg5HEZTVtrKSNPBzmUUJdn7HyIiIjZa29Bbilb7kxZh5wJ3C1tfZpvwU9dUPAko3QdiPELbghcFwITYLiL0J44qi9jficCESO9m6jpIYFbOJeIpT0Ko/RTAHVFFA7au8lkoleWw92G8yoBcfvmFlTCoVR+P1SOHIqRDKhKVJkP+ljK4GYSRE/ZBavsJctdDKOKAsooyLA7u0dJLiRzSyjhTDeKPm72MGZVPMxxuNojXYRSQFjzFzgbuCfrbXLAay1e1M2BMx1ofUXkNgAoWn7zmwTO6HlWij7Pjha7jLTjecktvMkbWyhkAlAiBhNdLKbQ/jygK3rIrnkudVQVrjvK6xbcT40tMCm3XDQuGBiEzkQStAlMKXkcTJVQYfxjvuoZxktTCf/nWQ8gcuD7OIgCjWzvIikyg+AAuA6f5WTJmvtuaRqCFhijXcLTe19ZhseB4n1EHsdogtG5a1yjuvCG2/Agw/Cpk1QUwNnngkLF0IovQlxlArmcQ0buJsGXsbFpYg6DuZiqjgirbGIBMGlf3IukguUoIsAXSR5nD3UEe3VUh7GoZI8HqFBCbqIpISfjA9UnpohYMkd3s8Bz2wjkNgIKEEf0N/+BrfdBuXlUFEBTU1www2wejV88pNpzxYKqMXweRJ0kCRGHiXq7SVjxrEHwbINUN17lAftXV4398mZ0wYksl/U/0kEaCNBnCTRAf4kigmzg64AohIRSQGnZIiNcQhVpi2UrLJ3L9x1F0yeDNXVEIl4SfqMGfD4416LekDCFBChVMm5jCnzp8P0Wli/y5swznVhTytsa4JPvAeiaoaULKUEXQQvCS8gTAfJftv2EmeKJooTkVyRdwg4pZBs6l3utgPhUZ3ILKesWAHJJESjvctDIe/2+uvBxCUyRhVE4etnw5mHQ0MrbGiAiiL46plwwuygoxMZOV1bEgEihDiTKv7ATmZQQMhvhYiRZC8JztJasiKSK5woFH8JWn8CiUagANxOb4m1osshVBF0hJkp2f8C7jscB2Kx9MUiIgCUFMDHF8HHjoV4EiJhjUuX7KcEXcR3FjXsJMaSHisZhYDzmcBhFAcXmIjIaMubBaU/hK4XvbXQQ+MgughCuhg5qIP8RZWTyd4TwrkuxOMwd24wce2nLmK8xUaaaaOWcmYzmZA6VEqWC4Ugqo+x5Agl6CK+PEJcSh1nU8Na2gnjMIeiQJd+ExFJmVA5FLwv6Ciyx7hxcMop3kRxEydCYSF0dcGWLXD44TBrVtARvqvVbOHn3Esz7XhzYMNkarmKD1FNWbDBiYgIoARdpJ+J5DMRrQEsIiJ9nH++t7TaQw9Bfb03Hv2cc+ADH0j7Mmv7q5k2fsqfiBJhGvsWh97OHq7nXr7DhZpkTkQkAyhBFxERERmOcBjOOgtOPx1aW71W9Eh29LJ6hVW00kktvecYGE8F69nBWrZxMJMCik5ERLpl9uVeERERkUwTDkNZWdYk5wBbaCB/gCFbDg4hHBrYG0BUY1siCY2t0KGVXEWkB7Wgi4iIiGQiNwmJJlj3Mqx4HFrqoXIqHHoOTD56v6arHk8FXQw807yLS7kmQ00b14UlFu59BRrbvF/jcTPhI8dCeVHQ0YlI0NSCLiIiIpJJXBc6l0DT1fDMObDk89C5DMpqoG03PP0zePvh/drlMcwmQh6tdPQqr6eJ8VQyi7rRPAIZwiP/gF8/BeEQTK2GSRXw7Gr40QPQrtZ0kTFPCbqIiIhIJul8BNpvhsZm2NQKVRMgvAPiz0FhqdeK/vqfoL1p2LusoIQv8UH20sZ6drCZetazg3wiXMl5WmotTdq74M8vw5QqKPbnow2HvMdbG+GVdcHGJyLBUxd3ERERkUzhtkHHnyE0BXau9fo/O2FwyiG5BxLbIG+Ktx57/UqYumDYu57HDK7lMl5jNXtoYRLVHM4M8omm8ICkp00NEE9AdIAz8JJ8eHUDnGDSH9dYkkjC+nroisPkKigtDDoikd6UoIuIiIhkisQmIA5O1Ovq3pMTheQ2YIr32E3u9+5LKWIxhx9wmDIy4SE6KiRdiIbTF8tYtGIr3PzkvrH/jgNnzoPzjhn6dyOSTkrQJTDraWcpjdTTxcEUchwV1OgqvoiIjGkhwE/Mx42DFSu8RN1x/PIQJBPe45pZAcYpIzGtBkoLoKUDSgr2lbsutHTCe/QrTZltjXDtQ1BW6I39B683w19ehfwI/NNRwcYn0k3XiiQQf6OB77KWp9nDOtq5l3quYQ2W1qBDExERCU54Ojgl4LZCVRVMnAiNjRCPgRuDRDXsXg9zzoTiqqCjlf2UF4aLF0NDK2xv8rpZ722HtfUwfzocqrn6UuaJt7zrWmU9urTnhb3x/w8ug86BFzkQSTsl6JJ22+jkDrYziSh15FNFhKkUUEyIX7KZGPvfZU9ERCQnOBEovAgS9eDuhGOOhEOmQ8cuaM4HpwoWXgpHfCToSGWEjpwG/3ouHD4FmjugKAqXnASfP9VLGCU13t4K5QOMN4/mQSwBu5rTH5PIQNTFXdLuJZpwgGif60Nl5LGRDlbSxqGUBBOciIhI0KLzIfRt6HgIEhYOORQO/xKEF0KkZL/WP5fMdNA4+PxpQUcxtlQUwYY2+p1hJl1viEFRfiBhifSjBF3SrokEUQY/uWhXC7qIiIx1eTOh5MqgoxDJGafOhZ8+ApXFEOpxGrqjCeZN9spFMoG6uEvazaKQDtx+5S4uSWASuoQpIiIiIqPniKlwyiGwfpc3YdyuZu9+aSFceELQ0YnsoxZ0SbsjKaWGCNvpYjwRHBySuGykg/mUKUEXERERkVEVCsGnToCFB8Pza6C1Ew6bDMcepO7tklmUoEvaFRDmX5jOzWxmDe2EcUjg8h4q+BQTgw5PRERERHJQKASH1Hk3kUylBF0CMY4o1zCDrXTSTIJaIlRrDXQRERERERnDlKBLYBwc6igIOgwREREREZGMoEniRERERERERDKAWtAlbfYS5zEaeIpGukhyNKWcTQ2T1YouIiIiIiKiFnRJjxbi/JD13M8uinCoJo+Xaeb/sZZ1tAcdnoiIiIiISOCUoEtaPMUettLBNAooIEyEEJOIEsXhDrbjDrAuuoiIiIiIyFiiLu6SFktppHaAWdqribCaNvaSoFwfRxERSbf6enjqKXj9dSgpgZNPhvnzIU91koiIpJ9qH0mLOO6Q3TWSakEXEZF0W78efvQj6OqCykpoaoJf/hIWLIArrlCSLiIiaacu7pIWCymngVi/8ibi1JFPha4ViYhIOrku/Pa3XhI+ZYrXel5VBTNmwIsvwmuvBR2hiIiMQcqKJC1OpYqlNLKFTiYQJQTsIc5e4nyGOhycoEMUEZGxZMcO2LQJpk7tXe44UFEBS5Z4LekiIiPguvDGZnj8Tahvhpnj4dS5MLUm6Mgk06kFXdKiigjXMIOjKWULnWykk1qifIPpHEZp0OGJiMhY09UFoZCXkPcViUBra/pjEpGc4Lpw94vwnw/Bqh3QFYfnVsN37oFX1gUdnWQ6taBL2owjyhVM4RKSJHApJKSWcxERCcb48ZCfD52d3s+eGhvhlFOCiUtEst7GBnhoOUyrhrDfHFqcD22d8Jun4bDJkB8JNkbJXGpBl7TLJ0QRYSXnIiISnPx8OPdc2LwZOjq8Mtf1ur4XF8Pxxwcbn4hkrVfWeYl5uE+mVZQPHV2wcnswcUl2UAu6yLtoIs6T7OY5mgA4nnJOpooy/fmIiGS300+HcBjuuQd27vQS9Nmz4dOf9mZ1FxEZgdYuyBusGdTxuryLDEYZhsgQdhPjP1jHbmLU4PVFuod6ltDEt5hOJeqfJCKStRwHTjsNTjrJWw89Px+qq4OOSkSy3CET4fE3+pcnk4ALU/U1I0NQF3eRIdxPPY3EmEYBxYQpJsw0Cmigi4fYFXR4IiIyGiIRmDRJybmIjIrDp8Lkati020/KgVgc1jfA4jlQWxZsfJLZlKCLDCKJy1IamUi037aJRHmGPbi4AUQmIiIiIpkqmgdXnwXzp8PmPV6iXt8CHzgKPnlc0NFJplMXd5FBuEAMl/AAk9mFcYgpORcRERGRAVQUw+dPg6Y2aO2EymIo7N/mI9KPWtBFBhHG4TCK2UWs37Z6YsyjVDPRi4iIiMigyotgUqWScxk+JegiQziPcbSRZA8xXP/fbmJ04fJBaoMOT0REREREcogSdJEhHEwR/4fpVBBhI51spJNqInyDacygMOjwREREREQkh2gMusi7MBTzXQ6iEW/Rygry1LVdRERERERGnRJ0kWFwcLTmuYiIiIiIpJS6uIuIiIiIiIhkACXoIiIiIiIiIhlAXdxFRERERCRjdHXB8pfhxaUQj8Hh82HB8VBSGnRkIqmnBF1ERERERDJCZyf85mdg34SyCgiF4S93wdN/gy99E6prgo5QJLXUxV1ERERERDLCC0tgxZswZQZUVEFZOUyeBi174f4/BB2dSOqpBV1ERERERDLC35+A6lpw+qxoWzvB6/be1gZFRfvKG9fC5r9Dxy6oOBjqjofC6vTGLDKalKCLiIiIiEhGaGuFgqL+5eEwuC7EugB/+5qHwP4BQhGIFEL9P2DNg3Ds1VA5K61hi4wadXEXEREREZGMYA6Dxob+5S3NUFUDpWXe4+bNXnJeUgeldVBQBWVTIVIEr94AyXh64xYZLUrQRUREREQkI7z3TEgmoanRazEHaG+Hhp1w9ocg5Gcv2170JpALR3q/Pr8cuhqhcU164xYZLeriLrnLTULXi9D1KCQbIDwdCs6CvDlBRyYiIiIiA6ibAld8Hf5wK2zdBA5QWAwXfBbmL9r3vI5GCEUH2YkDsbY0BCuSAkrQJTe5LrT/Hjofh1A1OMUQXwUty6DwUshfHHSEIiIiIjKAmQa++X3YsQ3icRg/ESJ9WsqrZsHmZ/q/1nW9NpqSSemJVWS0qYu75KbEOuh8EsIzIFQBThTC4yA0EdpvA1eXVUVEREQylePAhEkweWr/5Bxg/Hxv3Hnrjn1d4d0k7N0AExdC8fj0xisyWpSgS26KvQpOBJw+H3GnAIh5rekiIiIikpUiRXDsv0DxBNi7EfZu8iaOqzsB5l0cdHQiI5e2Lu7GmDDwE+AYIB/4rrX2AWPMIuA6IA48aq39XrpikhzmdjLo9ScXvI+biIiIiGSrkglw3P+Fli0Qa4XCWiisCjoqkQOTzhb0C4GItfZ44Fxgpl9+E3A+cAKw0BhzdBpjklwVmecl6d19nrq5CW+2kfCMQMISERERkdHjOFA6GaqMknPJDelM0M8ANhtjHgR+DdxvjCkD8q21a6y1LvAIcGoaY5JclTcX8mZDciO4Ma/MbYfEeoieDiF9g4uIiIiISGZJSRd3Y8ylwFf6FNcDHcA5wGLgd3gt53t7PKcZOCgVMckY4+RB8VXQ8WfoegZIglMEhedD/un9n59s8satJ/dAeDJEjgAnP+1hi4iIiMjo2bIblm2ErjjMmQhm4r611EUyUUoSdGvtLcAtPcuMMXcCD/gt5U8bY2bjJeelPZ5WCjSmIiYZg0LFUHQhFH7Mm7XdKfUS9766XoW2G4EYEAHi4FRCydUQ1hodIpIexpg5wAvAeGtth+ZoEREZOdeFP74EDy7zusGHHPjLq3DIJLjydCgcbA11kYCl8/rRUuBsAGPMEcBGa+1eoMsYc7AxxsHrBr8kjTHJWODkQ6hy4OQ8uRvabvC2h6dDuA7C04BOaL3eW69DRCTF/CFf/wV09ijWHC0iIiO0bAPc9ypMqYJp1ft+vr0V/vRS0NGJDC6dCfqvAccY8zxwM3C5X345cDvwIvCatfaFNMYkY13XC7zT/b2nUC0kt0NiTSBhicjY4V+gvhn4FtDml2mOFhGRA/DIP6CiCMI9sh3HgbpKeHoFdHQFF5vIUNK2zJq1thO4ZIDy54FF6YpDpJdkPTBYHyfHG5suIjJKBpmjZQNwp7V2uTGmu6wMzdEiIjJiO/ZC8QDTCUXCkHChtRMK1M1dMlDaEnSRjBSeQu8epT7X9bq3h6rTHpKI5K5B5mhZDVzqJ+8TgEfxJlTVHC0iIiM0rQZWboOCSO/yzhhEw1BaGExcIu9GcxjK2BY5BpzC/i3lyW2QN9Mbly4ikkLW2pnW2pOttScD24HTNUeLiMiBOXOe10reFd9XlnRhSyOcMQ+iaqaUDKWPpoxtoVIo/hq0XgeJDfvKw9Oh+AveYCURkWB0z9ESxpvFXXO0iIgM05xJcNGJcPtzkEgCLrjAYgPnHBl0dCKDU4IukncwlF0L8RXgNkNoHIQPBkcdTEQkvay103vc1xwtIiIH4L1z4ZgZsGIbxBIwoxYmVgQdlcjQlKCLADhRiBwedBQiIiIiMopKC2GBptiULKImQhEREREREZEMoARdREREREREJAMoQRcRERERERHJAErQRURERERERDKAEnQRERERERGRDKAEXURERERERCQDKEEXERERERERyQBK0EVEREREREQyQF7QAQxDGGD79u1BxyEiIinU43s+HGQcWUT1o4jIGKE6cuzIhgR9IsAFF1wQdBwiIpIeE4E1QQeRBVQ/ioiMPaojc1w2JOgvAScC24BEwLGIiEjqhPFOPF4KOpAsofpRRGTsUB05Rjiu6wYdg4iIiIiIiMiYp0niRERERERERDJANnRxB8AYEwZ+AhwD5APftdY+YIxZBFwHxIFHrbXfCzDMA2aMmQO8AIy31nbkwvEZY8qB24AyIAp81Vr7XC4cG4AxJgTcABwBdAKfsdauDjaqkTPGRIDfAtPx/tb+HXgLuBVwgTeAL1hrkwGFeMCMMeOAV4D34X3+biV3ju2bwAfw/tZuAJ4mh45PBjYW6kjVj9kn1+pHUB1JFh+b6kfJFtnUgn4hELHWHg+cC8z0y28CzgdOABYaY44OKL4DZowpA/4LrxLrlgvH91XgcWvtScBFwC/98lw4NoAPAgXW2vcA/wfvd5jNPgk0WGtPBM4CfoF34v9tv8zB+xvMSv7J1a+Adr8ol47tZOA44HjgJGAKOXR8MqScriNVP2blsUHu1Y+gOjIrj031o2STbErQzwA2G2MeBH4N3O9X2PnW2jXWWhd4BDg1yCBHyhjjADcD3wLa/LJcOb6f4n3Zg9droyOHjg28E6i/Alhrn8drwcpmdwP/2uNxHJiPd6UZ4GHgtHQHNYquxTv53eo/zqVjOwP4B3APcD/wALl1fDK4nK0jVT9m7bFB7tWPoDoyW49N9aNkjYzs4m6MuRT4Sp/ieqADOAdYDPwO7+ry3h7PaQYOSkeMB2KQ49sA3GmtXW6M6S4rI8uOb5Bju9ha+5IxZgJeV76ryMJjG0IZ0NTjccIYk2etjQcV0IGw1rYAGGNKgT8C3wau9U8UwftdlQcU3gExxlwE1FtrH/G7ugE4uXBsvhpgGt735AzgPiCUQ8cn5HYdqfpR9WOmUx2ZnceG6kfJIhmZoFtrbwFu6VlmjLkTeMD/Q3raGDMbrwIr7fG0UqAxbYGO0CDHtxq41K/AJwCP4n2JZNXxDXRsAMaYecCdwNXW2qf9FoKsOrYh9P0chrL55APAGDMF7yrzDdbaO4wxP+6xOZt/V5cArjHmNOBI4PfAuB7bs/nYABqAFdbaLsAaYzrwuvF1y/bjE3K7jlT9qPoxG6iOzEqqHyVrZFMX96XA2QDGmCOAjdbavUCXMeZgvwvcGcCSAGMcMWvtTGvtydbak4HtwOm5cnzGmLl4XcLOt9Y+DJArx+b7O/s+m4vwulBlLWPMeLwT4G9Ya3/rF7/mj98Cb8xdVv6urLWLrbUn+X9ny4BPAQ/nwrH5lgJnGmMcY8wkoBh4PIeOTwaXs3Wk6sfsPDZfTtWPoDqSLD02VD9KFsnIFvRB/Bq40RjzPN5EDpf75ZcDtwNhvJlOXwgovlTJheP7AVAAXOd3T2yy1p5LbhwbeFfR32eMeRbvs3lxwPEcqG8BlcC/GmO6x9l9Gfi5MSYKvI3XrS9XfA34dS4cmz9r92LgRbwLsF8A1pEjxydDGot1ZC4cm+rH7KM6MgupfpRs4riu++7PEhEREREREZGUyqYu7iIiIiIiIiI5Swm6iIiIiIiISAZQgi4iIiIiIiKSAZSgi4iIiIiIiGQAJegiIiIiIiIiGSCbllkTeVf+epZ/AN4CXKAQuN1ae32f550JTLXW3rwf+74I2G2tvW8/XjMduNNau6hPeSVwLTALbxmdTcDnrLVNw9130IwxlwG/s9bGBth2HvBRa+356Y9MREQGojoyfVRHishIKUGXXPSEtfbjAMaYfMAaY/7HWtvY/QRr7V/3d6fW2ltHL0T+F/iVtfYeAGPMV4BfAR8fxfdItW8Bvwd6nXwYY64DzgCWBRGUiIgMSXVkeqiOFJERUYIuua4USABxY8xTQD1QiVf5zwJu8u9vAg4GXrTWXmGMGQfcClQADvAp4AJgO7ACuAZIAhOAm621vzTGnAR8x3/fIv81XX0DMsZMAyZ0n3j4fg6U+NsvAK4COoFVwGX+e/8TXmvHROA64FzgMOBqa+1fjDFrgRf843gD+AxQBtzm/8wDvm2tfcIY8zrwNHA4XivKudbaJmPMD4DFeMNffmKtvdv/f1vmv1cZ8FHgNP/Y7wQ+2OcQnwXuBT43wO9DREQyh+pI1ZEikmE0Bl1y0SnGmKeMMU8AtwNfsta2+NvusNaehndC0m02cClwLHC2MWYC3snFfdba4/z7x/Z5jzrgA8Ai4Cv+ycqhwCettacA9+FV0gOZBKzrWWCtTfiVfzXwPeAUa+0JQCP7KvFSa+3ZwI+AK4AP4Z2YXOxvnwz8q7X2WLwTmQ8C3wb+Zq1d7MdzizEmhHcS8b/W2pOALcBZxpizgBnW2uOB9wLXGGMq/H2/6P+//Q34hLX2FrwTsX6tGdbau/BOaEREJPOojlQdKSIZTC3okove6b43ADtA2WprbTOAMWYbUAAY4LcA1ton/G3f7fGaZ621nX75G3hX5LcAPzfGtOCdnPx9kBg24p0ovMMYE8E7OVgFvNkdD/AMcDreVf/X/LJG4G1rrWuM2ePHC7DRWru6Oz7/GA7BOwHDWrvFGLMXqPWf072/Tf4+pgLz/dYAgAgwbYDnThjkuEREJPOpjlQdKSIZTC3oMtYkBygb6Er228ACAGPMYmPMj/psP9IYEzbGFOG1CqwCfgNcbK29CNiK1+2vH2vtFmCXMebcHsVfxruavw6Ya4wp9stPAlYOEWdPdX7LBsDxwJv+cZzoH0cdXtfFhkH2twJ40lp7MnAK3kRCa4d47yT6DhERySWqI1VHikjA9MUhMrDvA+f6V8q/hzc5TU8R4GFgCfDv1tpdwP8ALxhj/o43rm/SEPu/EDjfGLPEGPMCcDTwWX8/3wGeNMY8D9QANw4z5k7gF/7+tgL3+8dxijHmGbwxb5dZa+ODvP5+oMUYswR4BXB7tFIMZAnwkDFmwJMsERHJWaojVUeKSIo4rqthMCL7w1+m5vIhuggGwhiz3VqrrnUiIhIY1ZEiIgdGLegiIiIiIiIiGUAt6CIiIiIiIiIZQC3oIiIiIiIiIhlACbqIiIiIiIhIBlCCLiIiIiIiIpIBlKCLiIiIiIiIZAAl6CIiIiIiIiIZQAm6iIiIiIiISAb4/wCGrQNDKnySAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1e7d67f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1,2, figsize=(15,6))\n",
    "\n",
    "color_idx = pd.factorize(y.type)[0]\n",
    "cmap = plt.cm.hsv\n",
    "\n",
    "# Left plot\n",
    "ax1.scatter(df2_plot.iloc[:,0], -df2_plot.iloc[:,1], c=color_idx, cmap=cmap, alpha=0.5, s=50)\n",
    "ax1.set_ylabel('Principal Component 2')\n",
    "\n",
    "# Right plot\n",
    "ax2.scatter(df2_plot.iloc[:,0], df2_plot.iloc[:,2], c=color_idx, cmap=cmap, alpha=0.5, s=50)\n",
    "ax2.set_ylabel('Principal Component 3')\n",
    "\n",
    "# Custom legend for the classes (y) since we do not create scatter plots per class (which could have their own labels).\n",
    "handles = []\n",
    "labels = pd.factorize(y.type.unique())\n",
    "norm = mpl.colors.Normalize(vmin=0.0, vmax=14.0)\n",
    "\n",
    "for i, v in zip(labels[0], labels[1]):\n",
    "    handles.append(mpl.patches.Patch(color=cmap(norm(i)), label=v, alpha=0.5))\n",
    "\n",
    "ax2.legend(handles=handles, bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n",
    "\n",
    "# xlabel for both plots\n",
    "for ax in fig.axes:\n",
    "    ax.set_xlabel('Principal Component 1')    "
   ]
  },
  {
   "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>PC1</th>\n",
       "      <th>PC2</th>\n",
       "      <th>PC3</th>\n",
       "      <th>PC4</th>\n",
       "      <th>PC5</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Standard Deviation</th>\n",
       "      <td>27.853469</td>\n",
       "      <td>21.481355</td>\n",
       "      <td>19.820465</td>\n",
       "      <td>17.032556</td>\n",
       "      <td>15.971807</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Proportion of Variance</th>\n",
       "      <td>0.113589</td>\n",
       "      <td>0.067562</td>\n",
       "      <td>0.057518</td>\n",
       "      <td>0.042476</td>\n",
       "      <td>0.037350</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Cumulative Proportion</th>\n",
       "      <td>0.113589</td>\n",
       "      <td>0.181151</td>\n",
       "      <td>0.238670</td>\n",
       "      <td>0.281145</td>\n",
       "      <td>0.318495</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                              PC1        PC2        PC3        PC4        PC5\n",
       "Standard Deviation      27.853469  21.481355  19.820465  17.032556  15.971807\n",
       "Proportion of Variance   0.113589   0.067562   0.057518   0.042476   0.037350\n",
       "Cumulative Proportion    0.113589   0.181151   0.238670   0.281145   0.318495"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.DataFrame([df2_plot.iloc[:,:5].std(axis=0, ddof=0).as_matrix(),\n",
    "              pca2.explained_variance_ratio_[:5],\n",
    "              np.cumsum(pca2.explained_variance_ratio_[:5])],\n",
    "             index=['Standard Deviation', 'Proportion of Variance', 'Cumulative Proportion'],\n",
    "             columns=['PC1', 'PC2', 'PC3', 'PC4', 'PC5'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1e7aa5c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df2_plot.iloc[:,:10].var(axis=0, ddof=0).plot(kind='bar', rot=0)\n",
    "plt.ylabel('Variances');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1e7aa860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig , (ax1,ax2) = plt.subplots(1,2, figsize=(15,5))\n",
    "\n",
    "# Left plot\n",
    "ax1.plot(pca2.explained_variance_ratio_, '-o')\n",
    "ax1.set_ylabel('Proportion of Variance Explained')\n",
    "ax1.set_ylim(ymin=-0.01)\n",
    "\n",
    "# Right plot\n",
    "ax2.plot(np.cumsum(pca2.explained_variance_ratio_), '-ro')\n",
    "ax2.set_ylabel('Cumulative Proportion of Variance Explained')\n",
    "ax2.set_ylim(ymax=1.05)\n",
    "\n",
    "for ax in fig.axes:\n",
    "    ax.set_xlabel('Principal Component')\n",
    "    ax.set_xlim(-1,65)    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### § 10.6.2 Clustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "X= pd.DataFrame(scale(df2), index=y.type, columns=df2.columns)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1f1ef198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1,ax2,ax3) = plt.subplots(1,3, figsize=(20,20))\n",
    "\n",
    "for linkage, cluster, ax in zip([hierarchy.complete(X), hierarchy.average(X), hierarchy.single(X)],\n",
    "                                ['c1','c2','c3'],\n",
    "                                [ax1,ax2,ax3]):\n",
    "    cluster = hierarchy.dendrogram(linkage, labels=X.index, orientation='right', color_threshold=0, leaf_font_size=10, ax=ax)\n",
    "\n",
    "ax1.set_title('Complete Linkage')\n",
    "ax2.set_title('Average Linkage')\n",
    "ax3.set_title('Single Linkage');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a1e7d6278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,20))\n",
    "cut4 = hierarchy.dendrogram(hierarchy.complete(X),\n",
    "                            labels=X.index, orientation='right', color_threshold=140, leaf_font_size=10)\n",
    "plt.vlines(140,0,plt.gca().yaxis.get_data_interval()[1], colors='r', linestyles='dashed');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### KMeans"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KMeans(algorithm='auto', copy_x=True, init='k-means++', max_iter=300,\n",
       "    n_clusters=4, n_init=50, n_jobs=1, precompute_distances='auto',\n",
       "    random_state=None, tol=0.0001, verbose=0)"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.random.seed(2)\n",
    "km4 = KMeans(n_clusters=4, n_init=50)\n",
    "km4.fit(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "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, 1,\n",
       "       2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2,\n",
       "       2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3], dtype=int32)"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "km4.labels_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0     8\n",
       "1    23\n",
       "2    24\n",
       "3     9\n",
       "dtype: int64"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Observations per KMeans cluster\n",
    "pd.Series(km4.labels_).value_counts().sort_index()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Hierarchical"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x119181c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Observations per Hierarchical cluster\n",
    "cut4b = hierarchy.dendrogram(hierarchy.complete(X), truncate_mode='lastp', p=4, show_leaf_counts=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a2294ae80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Hierarchy based on Principal Components 1 to 5\n",
    "plt.figure(figsize=(10,20))\n",
    "pca_cluster = hierarchy.dendrogram(hierarchy.complete(df2_plot.iloc[:,:5]), labels=y.type.values, orientation='right', color_threshold=100, leaf_font_size=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a231e9e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cut4c = hierarchy.dendrogram(hierarchy.complete(df2_plot), truncate_mode='lastp', p=4,\n",
    "                             show_leaf_counts=True)\n",
    "# See also color coding in plot above."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}