{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
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    ],
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     "slide_type": "-"
    }
   },
   "source": [
    "# Chapter 10  Unsupervised Learning"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "### [Lab 1: Principal Components Analysis](#lab1)\n",
    "\n",
    "### [Lab 2: Clustering](#lab2)\n",
    "- [Lab 10.5.1 K-Means Clustering](#lab-10.5.1)\n",
    "- [Lab 10.5.2 Hierarchical Clustering](#lab-10.5.2)\n",
    "\n",
    "### [Lab 3: NCI60 Data Example](#lab3)\n",
    "- [Lab 10.6.1 PCA on the NCI60 Data](#lab-10.6.1)\n",
    "- [Lab 10.6.2 Clustering the Observations of the NCI60 Data](#lab-10.6.2) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "### Imports and Configurations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
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    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "# Use rpy2 for loading R datasets\n",
    "from rpy2.robjects.packages import importr\n",
    "from rpy2.robjects.packages import data as rdata\n",
    "from rpy2.robjects import pandas2ri\n",
    "\n",
    "# Math and data processing\n",
    "import numpy as np\n",
    "import scipy as sp\n",
    "import pandas as pd\n",
    "\n",
    "# scikit-learn\n",
    "from sklearn.decomposition import PCA\n",
    "from sklearn.cluster import KMeans\n",
    "from sklearn.preprocessing import scale\n",
    "\n",
    "# scipy\n",
    "from scipy.cluster import hierarchy\n",
    "\n",
    "# Visulization\n",
    "from IPython.display import display\n",
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "mpl.style.use('ggplot')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "<a id='lab1'></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "### Lab 1: Principal Component Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Murder</th>\n",
       "      <th>Assault</th>\n",
       "      <th>UrbanPop</th>\n",
       "      <th>Rape</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Alabama</th>\n",
       "      <td>13.2</td>\n",
       "      <td>236</td>\n",
       "      <td>58</td>\n",
       "      <td>21.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Alaska</th>\n",
       "      <td>10.0</td>\n",
       "      <td>263</td>\n",
       "      <td>48</td>\n",
       "      <td>44.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Arizona</th>\n",
       "      <td>8.1</td>\n",
       "      <td>294</td>\n",
       "      <td>80</td>\n",
       "      <td>31.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Arkansas</th>\n",
       "      <td>8.8</td>\n",
       "      <td>190</td>\n",
       "      <td>50</td>\n",
       "      <td>19.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>California</th>\n",
       "      <td>9.0</td>\n",
       "      <td>276</td>\n",
       "      <td>91</td>\n",
       "      <td>40.6</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            Murder  Assault  UrbanPop  Rape\n",
       "Alabama       13.2      236        58  21.2\n",
       "Alaska        10.0      263        48  44.5\n",
       "Arizona        8.1      294        80  31.0\n",
       "Arkansas       8.8      190        50  19.5\n",
       "California     9.0      276        91  40.6"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# USArrests dataset is in R base package\n",
    "rbase = importr('base')\n",
    "usarrests_rdf = rdata(rbase).fetch('USArrests')['USArrests']\n",
    "usarrests = pandas2ri.ri2py(usarrests_rdf)\n",
    "display(usarrests.head(5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "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 int32\n",
      "UrbanPop    50 non-null int32\n",
      "Rape        50 non-null float64\n",
      "dtypes: float64(2), int32(2)\n",
      "memory usage: 1.6+ KB\n"
     ]
    }
   ],
   "source": [
    "usarrests.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Murder        7.788\n",
      "Assault     170.760\n",
      "UrbanPop     65.540\n",
      "Rape         21.232\n",
      "dtype: float64\n",
      "Murder        18.970465\n",
      "Assault     6945.165714\n",
      "UrbanPop     209.518776\n",
      "Rape          87.729159\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "# Mean and variance\n",
    "print(usarrests.mean())\n",
    "print(usarrests.var())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Murder     -8.437695e-17\n",
      "Assault     1.298961e-16\n",
      "UrbanPop   -4.263256e-16\n",
      "Rape        8.326673e-16\n",
      "dtype: float64\n",
      "Murder      1.020408\n",
      "Assault     1.020408\n",
      "UrbanPop    1.020408\n",
      "Rape        1.020408\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "# Standardize the data\n",
    "X = pd.DataFrame(scale(usarrests), index=usarrests.index, columns=usarrests.columns)\n",
    "print(X.mean())\n",
    "print(X.var())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>PC1</th>\n",
       "      <th>PC2</th>\n",
       "      <th>PC3</th>\n",
       "      <th>PC4</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Murder</th>\n",
       "      <td>0.535899</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": [
       "               PC1       PC2       PC3       PC4\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"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Principal Component Analysis\n",
    "pca = PCA()\n",
    "usarrests_loadings = pd.DataFrame(pca.fit(X).components_.T, index=usarrests.columns, columns=['PC1', 'PC2', 'PC3', 'PC4'])\n",
    "display(usarrests_loadings)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\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"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "usarrests_score = pd.DataFrame(pca.fit_transform(X), index=X.index, columns=['PC1', 'PC2', 'PC3', 'PC4'])\n",
    "display(usarrests_score)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\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>STDEV</th>\n",
       "      <td>1.574878</td>\n",
       "      <td>0.994869</td>\n",
       "      <td>0.597129</td>\n",
       "      <td>0.416449</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>VAR</th>\n",
       "      <td>2.480242</td>\n",
       "      <td>0.989765</td>\n",
       "      <td>0.356563</td>\n",
       "      <td>0.173430</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Explained VAR Ratio</th>\n",
       "      <td>0.620060</td>\n",
       "      <td>0.247441</td>\n",
       "      <td>0.089141</td>\n",
       "      <td>0.043358</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                          PC1       PC2       PC3       PC4\n",
       "STDEV                1.574878  0.994869  0.597129  0.416449\n",
       "VAR                  2.480242  0.989765  0.356563  0.173430\n",
       "Explained VAR Ratio  0.620060  0.247441  0.089141  0.043358"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Standard deviation, Variance, and EVR of principal components\n",
    "usarrests_score_stdvar = pd.DataFrame([np.sqrt(pca.explained_variance_), pca.explained_variance_, pca.explained_variance_ratio_], index=['STDEV', 'VAR', 'Explained VAR Ratio'], columns=['PC1', 'PC2', 'PC3', 'PC4'])\n",
    "display(usarrests_score_stdvar)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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LFi2wtFQvh9+2bVsSEhJQFAWN5jFXiTWzwhy7ra0tI0eONP4a7tixI+fOnStV572w5zwn\nJ4cZM2ZgZ2fHnDlzgNJ3zu/34HvYYDAYP9Se5v39YJnSpKDjMBgMLFq0iEuXLrFs2TI0Gg316tWj\nTp06xscVK1YkMTGRatWqmeMQCuVJx60oCqNGjTJ+CXbt2pUzZ86UmXMOsGXLFkaOHGl8/iKc84KU\n1Pd6iZzV1bJlS44cOUJOTg7p6enExsbSqFEjPD092bNnDwB79+6lTZs2Zo702T3NMaSnp6PT6fK9\nAb744gtjS8K5c+eoVq1aqfgCvF9Bxx4XF4efnx95eXnk5uZy9OhRmjdvXurPe0HxK4rCO++8Q+PG\njZk/f74x2SnN59zT05O9e9XbUkRFRdGoUSPjugYNGnD58mVSUlLQ6XQcPnyY1q1bP7FMaVLQccye\nPZucnByWL19uTPK///57goKCALh16xZarZbKlSubNvDn9KTj1mq1+Pj4kJGRgaIoREZG0qJFizJz\nzgFOnTqFp6en8fmLcM4LUlLf62a9jk9kZCTr169nyZIlAPznP/+hdu3avPTSS2zcuJENGzagKApv\nvvkmffr0ISsri2nTppGYmIi1tTWLFy8udX8ojzuG+4/9xIkTfPnllyxfvtxYLjU1lQ8//JDMzEws\nLS2ZPXs2DRqUrpsLPs2xf/PNN2zbtg1ra2sGDRqEn59fqT/vBR23wWBgypQpeHh4GMtMmTKF+vXr\nl9pzfnfWRkxMDIqiEBgYyJkzZ8jMzMTX19c400NRFF599VVef/31R5YpLcd7vycde4sWLXj11Vdp\n27atMYkdOXIkXbt2Zfr06Vy/fh2NRsMHH3yQ70uyNCjonP/3v/8lNDQUGxsbvLy8eP/998vEOff1\n9eX27duMGTOGn376yVhGp9OV+nN+v/j4eKZMmcLGjRsJCwsr0e91uYChEEIIIcqMEtnVJYQQQghR\nHCTxEUIIIYTJHT9+HH9//4eW79q1i1dffRVfX182btwIqN2Js2fPxtfXF39/fy5fvlzoekvf8Hkh\nhBBClGpff/01W7ZsMQ7wvys3N5dPP/2U77//HltbW/z8/OjRowdHjx5Fp9OxYcMGoqKiCAoKYsWK\nFYWqW1p8hBBCCGFS5rzoYYlq8bl58yarVq2iWbNmlCtXztzhCCGEEOI55OTkcObMGcaOHYubm5tx\nuTkveliiEp9Vq1Y9dNVbIYQQQpR+M2bMKHAbU1z0sEQlPk2bNgVg1KhRtG7d2szRCCGKS3R0NACN\nGzc2cyRCiOJ07NgxVq9ebfx+L8j9Fz2sUKEChw8fZty4cWg0Gnbv3k3//v2f+6KHJSrxKV++PACt\nW7emX79+Zo5GCFFc5P0tRNmxevVq4/f749x/0cOPPvqIcePGGS96WLVqVXr16sX+/fsZNmyY8aKH\nhVWiEh8hRNmQlJQEYLxhpxCi7KlZs6ZxuvrAgQONy3v06EGPHj3ybWthYcH8+fOLpF6Z1SWEMLnw\n8HDCw8PNHYYQogySxEcIIUqDW7/D/4blXxb1EVwMyb/sp7qQl/18da23gR3dYEd32P5XiBwPBv3z\n7VOIEkK6uoQQJjd69GhzhyCexMYZev5+7/n/fOH6Vqj5N7OFJERRkcRHCCFKu187gIUNuE9Qn//x\nJmTEQfmq0HE1KLkQ+QboUiDrOjR6Fxq+rbbqVPKAlFOQmwadN4Fdnfz7NuSCXgtW9mr5iBHqtooe\nWgaAWw8IbwZVOkPqaTVp6rQOrOxM/SoI8VSkq0sIYXJhYWGEhYWZO4wXhEbt2uq1D+r9ed+jhm9D\nzz1gVxdiv4b0C1BnGPT4Dbr/Bmc/u1fcpT28tAOq9YK4deoy3e17XV27+0CVbmqCcyoA3HpBr73w\n100QOQ4UBfIyoe7r0Ot/4NgEzn9l4tdAiKcnLT5CCJNLTk42dwilj6UtGHLyL8vVqssd77sekoUN\nuHZUH7t6w83tUOtVOPc5XN0M1o5qC9Bdlf68ZlqFWpB1U338YFfXXWln1QQHoEINdV/ZCaCxhipd\n7tV5Y9tzH64QxUVafIQQJufl5YWXl5e5wyhdnJrCnWOQdUN9npcNiXvVbqf7P8oNOrgTpT5O3AcV\nW8DZxVDZC7z/D2oPUVtpjDRPH4NjU3WfAJnXQHcHyrmoidSd4+rypP3g1LywRylEsZMWHyGEyckV\nmwvB2hE8P4PfB4BVBcjTQaP3wMEdbu64t51FOYheBunn1fE6HkGQ+D84/B5cXg/WFcHCCvJyHl/X\n4zSfAZFj4cr3kJcF7Veq+wI4sxAyr0CF2urYHyFKKEl8hBAmJ7esKKRag9V/D6ra7d7jgdGPWN8d\nBjzibtb3d2c1fOve48E3H11/OWfo8t9Hr+u4CiyffHVeIUoCSXyEECZ34MABQBIfIYTpSeIjhDA5\nFxcXc4cgitKgOHNHIMRTk8RHCGFy99+XRwghTElmdQkhhBCizJDERwhhciEhIYSEhJg7DCFEGSSJ\njxBClDCKoqDku9aOEKKoyBgfIYTJ+fj4mDuEEktRFOISUtBooG6VSuYOR4gXjrT4CCFMztXVFVdX\nV3OHUSJdSUxl0a5YdHpp8RGiOEjiI4QwuYiICCIiIswdRolzJTGVJXsucig+DYN0dQlRLCTxEUKY\nXExMDDExMeYOo0SJT07ji30X2R+XAiCJjxDFxORjfPLy8pg1axaXLl1Co9Ewb948GjVqZOowhBBm\nJO/5/BRFIT0zB6fyVlhZaLDUPHAfUSFEkTF54rN7924A1q9fT2RkJEuWLGHFihWmDkMIYUbe3t7m\nDqFE0Wg0NKrujHPsbf7+19q0q+OMbTmZeyJEcTD5O6tnz55069YNgOvXr+Po6GjqEIQQZpaUlAQg\nA5zvE5eYxn9P3+LzQc1p4CazuYQoLmb5SWFlZcW0adPYvn07S5cuNUcIQggzCg8PB2D06NHmDaSE\nUBSFc7fS6NXQhfpV5cegEMXJbIObFy5cyK+//srHH39MZmamucIQQgizS0rL4P+OXKebuwvlrK3N\nHY4QLzSTt/j897//5datW7z55pvY2tqi0WiwsJDJZUKUJdLSk9+FhHScylvhXsXJ3KEI8cIzeeLT\nu3dvpk+fzuuvv45er2fGjBmUL1/e1GEIIUSJkJWj49dzCfh6VMPJTj4LhShuJk98KlSowL/+9S9T\nVyuEKEHCwsIAGDhwoJkjMb/YhFSOXdfyhnddNBqNucMR4oUn8yWFECaXnJxs7hBKBIPBwLH4VEZ4\nVqOGswxqFsIUJPERQpicl5eXuUMoEa4mp7Hp+E3+ObCptPYIYSKS+AghTK5x48bmDsHsFEXhfEI6\n3Ro4U18GNQthMjKdSghhctHR0URHR5s7DLNKychmY9RNujZwwcZafoMKYSrybhNCmNyBAweAst3y\nE5uQirWlBne5YKEQJiWJjxDC5FxcXMwdglnpcvXsib3NkFZuOFaQKexCmJIkPkIIkyvr09gvJqRy\n8HIKwzxryqBmIUxMxvgIIYQJKYrCmZtpDPOoRnVnB3OHI0SZI4mPEMLkQkJCCAkJMXcYZnHjjpYN\nUTdpUd1RWnuEMANJfIQQwkQUReFCQhredSvKFHYhzETG+AghTM7Hx8fcIZhFRnYOW04nMNyzOtZW\n8vErhDnIO08IYXKurq7mDsEsYm+loc8z4F5VWnuEMBfp6hJCmFxERAQRERHmDsOk8vLyiLxyh1f+\n4oaDbTlzhyNEmSUtPkIIk4uJiQHA29vbzJGYTlxiGnti7+DTopoMahZlmsFgYO7cuURHR2NjY0NA\nQAB16tQBIDExkSlTphi3PXv2LFOnTsXPz49XXnkFe3t7AGrWrMmnn35aqPol8RFCmFyjRo3MHYJJ\nKYpC9K10XmvpRrVKMoVdlG07duxAp9OxYcMGoqKiCAoKYsWKFQBUrlyZ0NBQAI4dO8aSJUsYOnQo\nOTk5KIpiXPc8pKtLCGFy3t7eZaq1Jyktkx9O3KR5NQdp7RFl3pEjR+jcuTMAHh4enDp16qFtFEVh\nwYIFzJ07F0tLS86dO0dWVhZjx45l5MiRREVFFbp+afERQphcUlISUHYGOV9ISMOjhiP1ZAq7EGi1\nWmOXFYClpSV6vR6r+2Y67tq1i4YNG1K/fn0Aypcvz7hx4xgyZAhxcXGMHz+eX375JV+ZpyUtPkII\nkwsPDyc8PNzcYZhEtk7H9ugk/lqvkkxhFwKwt7cnIyPD+NxgMDyUwGzZsoWhQ4can9erV4+//e1v\naDQa6tWrR8WKFUlMTCxU/ZL4CCFEMYq9lUp6jh53N2ntEQLA09OTvXv3AhAVFfXIMX+nTp3C09PT\n+Pz7778nKCgIgFu3bqHVaqlcuXKh6pefH0IIkxs9erS5QzAJg8FA1LU0Bjavgn15mcIuBECvXr3Y\nv38/w4YNQ1EUAgMDCQsLIzMzE19fX27fvo29vX2+8XCvvfYa06dPx8/PD41GQ2BgYKG6uUASHyGE\nKDbxyensvpDMggFNZVCzEH+ysLBg/vz5+ZY1aNDA+NjZ2Zmffvop33obGxsWL15cNPUXyV6EEOIZ\nhIWFERYWZu4wipWiKJxPSGNgsyq4VbQvuIAQwiQk8RFCmFxycjLJycnmDqNYpWZkE34mgWbV5C7s\nQpQk0tUlhDA5Ly8vc4dQ7GIT0mhY2Y56lR3NHYoQ4j6S+AghTK5x48bmDqFY6XL17LuYTDd3l0IP\nwBRCFA/p6hJCmFx0dDTR0dHmDqPYXEpMJSkjV+7CLkQJJD9FhBAmd+DAAeDFbPlRFIUzN9Lp08QV\nO5nCLkSJIy0+QgiTc3FxwcXFxdxhFIubKVp+j02mYRUZ1CxESSQtPkIIkxs4cKC5QygWiqJw4VYa\nLzV0oapMYReiRJIWHyGEKCKZ2Tp2nk+mmZu09ghRUkniI4QwuZCQEEJCQswdRpG7kJBKNadychd2\nIUowSXyEEKII5OXlcfhKCh3rVMLS0tLc4QghHkPG+AghTM7Hx8fcIRS5y0lp3EjLwV1ae4Qo0STx\nEUKYnKurq7lDKFKKohB9K51u7i5UKG9j7nCEEE8gXV1CCJOLiIggIiLC3GEUmdvpmey/dIeGVR1k\nULMQJZwkPkIIk4uJiSEmJsbcYRSZ87fS6FinIlWcZAq7ECWddHUJIUyuUaNG5g6hyGTrcomIu8Og\nv1ST1h4hSgFJfIQQJuft7W3uEIpMbEIqFW2tqSt3YReiVJCuLiGEySUlJZGUlGTuMJ6bwWDg5LVU\n2tZykinsQpQSkvgIIUwuPDyc8PBwc4fx3K7dTic+NZsGchd2IUoNSXyEEKIQFEXhfEI6XnUrUaGc\nTGEXorSQMT5CCJMbPXq0uUN4bmmZ2Ry5msKoDnVlULMQpYi0+AghRCFcSEijuZsDlZ3szB2KEOIZ\nSOIjhDC5sLAwwsLCzB1GoeXq9RyLT6WJ3IVdiFJHurqEECaXnJxs7hCey6WENMpZWVDHVaawC1Ha\nSOIjhDA5Ly8vc4dQaIqicO5WGh41ZAq7EKWRJD5CCJNr3LixuUMotFspWq6lZtOzWTVzhyKEKAST\nJj65ubnMmDGDa9euodPpePvtt3nppZdMGYIQogSIjo4GSl8CpCgKFxLS8KjhiK2NTGEXojQyaeKz\nZcsWKlasyKJFi0hJSeHll1+WxEeIMujAgQNA6Ut8MnN0nLmZzisetWRQsxCllEkTn759+9KnTx9A\n/eUk/eNClE0uLi7mDqFQYm+lUtu5Aq6OFcwdihCikEya+NjZqde70Gq1vP/++0yaNMmU1QshSoiB\nAweaO4RnlpeXx9lb6bSv4yKtPUKUYia/js+NGzcYOXIkgwYNKpUffkKIsulKUhoWaKjt6mDuUIQQ\nz8GkLT5JSUmMHTuW2bNnl+rprEKI5xMSEgKUnltXKIrC+UQtTdwcpIteiFLOpC0+X375JWlpaSxf\nvhx/f3/8/f3Jzs42ZQhCCPHMbqdncistG3e5C7sQpZ5JW3xmzZrFrFmzTFmlEKIE8vHxMXcIz+R8\nQhrule2xlbuwC1HqyQUMhRAm5+rqau4QnlqOLpfLyZn0bOpm7lCEEEVAblIqhDC5iIgIIiIizB3G\nU4lNSMXZzgZnB5nCLsSLQBIfIYTJxcTEEBMTY+4wCmQwGIhN1NKwioNMYRfiBSFdXUIIk2vUqJG5\nQ3gq12925bOdAAAgAElEQVSnowC15S7sQrwwJPERQpict7e3uUMokKIoxCamU9/VDgsLaRwX4kUh\niY8QwuSSkpKAkj3IOS0zm5TMXDo0qGruUIR4oRgMBubOnUt0dDQ2NjYEBARQp04d4/qQkBA2bdqE\ns7MzAPPmzaNu3bpPLPMsJPERQphceHg4ULIvYBibkIabU3nK21ibOxQhXig7duxAp9OxYcMGoqKi\nCAoKYsWKFcb1p06dYuHChbRo0cK47LfffntimWch7bdCCPGAXL2eG6lZuFeRCxYKUdSOHDlC586d\nAfDw8ODUqVP51p8+fZqVK1fi5+fHV1999VRlnoW0+AghTK4kt/QAXEpIxc7GCmcHW3OHIsQLR6vV\nYm9vb3xuaWmJXq/HykpNSQYMGMDw4cOxt7dn4sSJ7N69u8Ayz0ISHyGEuI+iKFy9k0mDyjKFXYji\nYG9vT0ZGhvG5wWAwJjCKojBq1CgcHNSbAXft2pUzZ848scyzkq4uIYTJhYWFERYWZu4wHulWihaD\nQZEp7EIUE09PT/bu3QtAVFRUvstbaLVafHx8yMjIQFEUIiMjadGixRPLPCtp8RFCmFxycrK5Q3gk\nRVG4lJhO9YoVZAq7EMWkV69e7N+/n2HDhqEoCoGBgYSFhZGZmYmvry+TJ09m5MiR2NjY4OXlRdeu\nXTEYDA+VKSxJfIR4DpGRkaxfv54lS5YYlwUHB1O/fn0GDx5cJHV88sknjBkzhoMHD+Lk5MRLL71U\nJPs1Jy8vL3OH8EiZOToydXo861Y2dyhCvLAsLCyYP39+vmUNGjQwPn755Zd5+eWXCyxTWJL4CFHC\nzZw5E6DIEqmSoHHjxuYO4ZFiE1JxtLWhnExhLzPOnz/PokWLyMrKIjMzk65du/Lee+89cnzXRx99\nRP/+/QG4ceMGvr6+LFq0iL179zJr1iw6dOhQqBhWrlxJx44dadmy5XMdi3g60pYrRDHIy8tj5syZ\njBs3joEDB7JkyRLu3LnDoEGDALWPul27dhgMBm7evMm4cePQarX8/e9/Z+zYsfj4+LB27VoA/P39\niY2NZdmyZaxbt86ch1VkoqOjiY6ONncY+eTl5XFbm4N7FRnbU1akpaUxZcoUZsyYQWhoKBs3biQm\nJob169c/sVyXLl3w9fUF4JdffmHdunWFTnoAJkyYIEmPCUmLjxDP6eDBg/j7+xufX716lffffx8P\nDw+GDBlCTk4OXbp0YfLkyVSsWJEbN26wd+9eqlWrxqlTpzh58iQ9e/bk8uXLDBgwgN69e3Pr1i38\n/f0ZPny4GY+s+Bw4cAAoWS0/V5LSsbK0oKK9TGEvK3bu3EmHDh2oW7cuoE6RXrhwIdbW1sycOZOb\nN2+SkJBAjx49mDx5srHc5s2buXjxIuXLlychIYE333yTb7/9ls8//5wjR44A4OPjw6hRo/joo49I\nSUkhJSWFcePGsWHDBqytrYmPj6d///68/fbbxpYkT09PZs6cSXp6OgkJCQwfPvyF/QwwJ0l8hLhP\nZGQkkyZNwt3dHYCMjAxq1qxJcHAwx44de2g8D0DHjh0fGuOj1Wq5cOECBw8exN7enrS0NOLj4+nV\nqxd79uzh2LFjTJgwgf3793Ps2DECAwPJy8tj9erVfPDBBwwePBi9Xv9QfLt37wbAz8+v0Mc4efJk\nhg0b9ly/UJ+Xi4uL2ep+FEVRuJaSQW1ne5nCXoYkJCRQq1atfMvs7OyIj49/5A+XB02cOJHNmzez\natUqIiIiiI+PZ+PGjej1eoYPH07Hjh0B9TNi9OjRREZGcv36dbZs2YJOp6Nz5868/fbbxv2VpR8/\n5iSJjxAPeDCRmTp1Krt27aJSpUrPtB8HBwfmz5/P5cuXWb9+PceOHWPBggXUr18fd3d3OnfuzNix\nY7l48SLBwcE4OTnh4eHB/v376du3L3v27Hnsvp80qDozM5MRI0Y8tuzu3buxsbEp8sQnOjqatLQ0\n2rVrx6FDh3BwcKBJkyaP3HbgwIFFWvfzup2ehQao6eJg7lCECVWvXp0zZ87kW3b16lVu3rzJyZMn\njT9cdDpdgfuKjY2lbdu2aDQarK2tadWqFbGxsQDUq1fPuF2jRo2wsrLCysqK8uXL59uHq6srq1ev\n5rfffsPe3v6RP37E85MxPkI8gU6nIyEhAScn9dYFly9f5o033mDw4MEsW7YMgNTUVPz8/BgxYoRx\nrI6lpSWbN2+mdevWDBs2DCsrK9LS0qhbty5XrlwhOjqaiRMnotVqsbGxAaB79+6sXbuWlJQUVq9e\nTU5ODq+99hpnzpwhMDAQRVGMcRkMBk6cOJFvDBHApk2bWLRokXH56dOnAVizZg0vv/wy48ePL5YP\n08jISF577TVjM/8PP/zAihUr2Lx5c5HW06lTpyLd312XktKoZFdOprCXMd27d2ffvn1cuXIFgNzc\nXIKCgjh79iwODg4sXryYsWPHkp2dne/99ygNGjQw/v3n5uZy7Ngx4000729FfFKL4qpVq/Dw8CA4\nOJi+ffsWWKcoHGnxEeIBd8fsJCcnY2FhwdChQ/Hy8iIyMpKcnByWL19OXl4e3bp147333mPhwoV8\n8sknNG3alB07drBlyxZatmxJvXr1+L//+z8yMzPp3bs3Tk5OWFhY4Orqyg8//EBycjIjR45k+PDh\n3LhxgwsXLuDs7MylS5fIy8vD09OT9u3bs3XrVq5du0Z6ejoeHh5kZGSwYMECbt++jYuLCwEBAUyY\nMIE6depw/vx5srOzuXbtGsOHD2fixIlkZGSQlpZG9erVCQ4OZtCgQezevZt27dqh0+mYMWMGvr6+\ndOrUif379wP3usOqVKnC9OnTsbKywmAwsHjxYqpVq8bixYs5fPgwBoOB0aNHo9Fo0Ov1rFixgo4d\nO7Jv3z7y8vJo1aoV06dP5/Lly2RnZzNy5EhefvllQkJCgJJx64qc3FwMeXk0qFKyut9E8bO3tyco\nKIhZs2ahKAoZGRl0794dLy8vpk6dSlRUFDY2NtSpU4eEhIQn7qt79+788ccf+Pr6kpubS9++fWne\nvPkzxdO9e3cCAgLYunUrDg4OWFpaotPpjD+ORNGQxEeIB9zt6rpz5w5jx46lZs2axnUNGzY0fgjd\nvVx6QkICTZs2BaBdu3YsXryYuLg4WrRogYWFBfb29sarjKanp6PRaBgyZAiurq6kpqbSunVrrl27\nRkpKCiEhIXTu3Jm8vDz+9re/sXr1aq5fv06XLl3o0aMHe/fu5dq1azg5OZGTk4OjoyNfffUVOp2O\ncuXK0aRJEy5cuIBGo0Gr1ZKXl8err77K+fPnOX/+PGfOnMHGxgY3Nze2bNnCtGnT+M9//mOcofKg\niIgIWrZsyYcffsjhw4dJT08nJiaG+Ph41q1bR05ODkOHDmXSpEk0aNAAa2trTp06RefOncnKyqJ8\n+fIcOnSIIUOG8Ntvv7F8+XLS0tLIzMxk3bp1jB49mqioKMaPH09kZCQJCQnMnDmTb7/99onnKDo6\nmoCAAAAqVqxIYGAgZ86cITg4GGtra4YOHcqlS5eIjIxEr9fTu3dvJkyY8Mhyu4+colwFB8o1rEFq\naipjxowp8pYqUXK1aNGC77777qHlW7ZseWhZUFDQQ8t27dplfDxt2rQnlunQoUO+Lua7PzTu3yY8\nPPwpIxeFJe26QjxGpUqVWLRoEbNmzTL+2ntUM3WVKlU4d+4cAIcOHaJu3bq4u7tz4sQJDAYDmZmZ\nXLhwAVAHTo4bN44aNWowatQoWrVqBagX57K2tmbKlCmkp6dz8+ZNtm/fzqJFixg6dCh79uzhiy++\nQKPR0LBhQywtLUlKSsLCwoKBAweSnZ1NWloacXFxxuuR2Nrakpqayrlz54iKisLCwoIBAwaQm5tr\nHHtTo0YNcnJyHjqmu03sr732Go6OjrzxxhusWbMGS0tLYmJiOH36NP7+/rzxxhvo9XoSExMBdSZL\nSEgIWq0WgPLlyzNmzBi+/fZb7OzsGD9+PDt27KBDhw7UqlXroRluO3fupGfPngWem48//pg5c+YQ\nGhpKly5d+OabbwDIyclh7dq1vPzyy4SFhREcHMzatWtxdHR8ZLnvvvuOKtVq8seurYD6pVPSxh8J\nIYqWtPgI8QTu7u74+/sTEBDA66+//shtAgICWLBgAYqiYGlpSWBgILVq1aJLly689tprVKlSxTiL\nyd3dnT/++IOoqCiOHz/OlClTAPX+NDt27GDTpk14e3tjMBioX78+o0aNws7OjhYtWtCtWzfWrl2L\nlZUV3t7eHDt2jGvXrjF79mxcXV25evUq3t7eHDhwgOzsbPbt24e9vT39+/enadOmhISE0KtXLzQa\nzSMTOL1eT0ZGBtbW1sZEbefOnbRp04aJEycSHh7ON998Q8+ePenQoQMLFizAYDCwfPlyqlSpAqiJ\nzowZM5g5cyZt27YlLS2No0ePYmtrS15eHnPnzqV+/fqkpaXRv3//x85wu19KSgoVK1YE7iWesbGx\nzJs3D1DHU9ydjnz/INJFixaxePFikpKS6Ny58yPLDXjND42FJRejz3LhwgXCwsJYvnz5M/6VCCFK\nE0l8hLjPg03RQL7ppo9qpm7WrBlr1qx5aF/vvPMO77zzjvF5ZGQkNjY2LFmyhNDQUH766SeGDx/O\n3r17sbS0xNbWlmHDhlG7dm1sbGyoUaMG3377LdOmTSMjI4OwsDACAwOpXr06U6ZMoW7duly7do0a\nNWpgbW2NlZUVd+7cMSYH3bp148aNGyxatAiNRoOVlRVff/01b7zxBjVq1Hgo3pEjR+Lr60vNmjWp\nXr06oHYDTJs2jRUrVmAwGJg+fTrNmjXjjz/+YPjw4WRmZtKzZ09sbW1xcnJizZo1zJ49mzp16rBz\n506aN29uHDthMBj4+9//jo2NDVqtlooVK7J+/XoqVapknOHm4OCAq6trvrgGDhzI9u3bSU1NxdnZ\nGVATnIULF1K9enWOHDlibHG6OzhZp9Pxyy+/8NlnnwHQv39/BgwY8FA5rbUT1SvZMWTIEJYvX07V\nqlWNdQghXkwapQQNG9+2bRuTJk3i888/p1+/fuYORwjxlB6cXq/Vahk4cCDvvfcegwcP5ptvvmHH\njh3odDpatmxJ7dq1sbCw4Oeff+bll1/m9ddfx9fXl379+j004Hnt2rV8//33GAwGJk6cSM+ePTl1\n6hQLFy5Er9ej0Wj45JNPSEhIyBfDF198wZ49eyhfvjyNGzdm5syZnD592liuSYuWDBjqj2eD6uj1\nerp06cKiRYuMrUNCiOdXEr/XJfERQphcREQEAN7e3maL4XjcLWysLGla05WsrCxGjBjBpk2bZEq7\nEEWoJH6vS1eXEMLkzJnwgDqeyVKjUL+qE0ePHmXOnDm8++67kvQIUQYU+C7//PPPH1p2dzqoEEIU\nRlJSEklJSWar/1JiGnqDhnLW1nh6ehIWFkbfvn3NFo8QwnQe2+KzdOlS0tLS2Lp1q3FqKqgzIXbt\n2sWsWbNMEqAQ4sVz91ol5riAoaIoZOXoqFvZyeR1CyHM77GJT6tWrTh58iQWFhbGqaSg3r327qX6\nhRCitElI1WJQwMmufMEbCyFeOI9NfLp27UrXrl3p0qULLVu2NGVMQogXnLluVaEoCjfuZODqYCt3\nYReijCpwcHOFChWYPn06KSkp+W6Y9uWXXxZrYEIIUdSydDrKW2mo7ix3YReirCow8fnHP/6Bp6cn\n7dq1k19IQogiERYWBmDy20NcSkjDysJKZm8JUYYVmPjk5ubKQGYhRJFKTk42eZ15eXmUt1CoVUUG\nNQtRlhWY+NSpU4eEhATjvXiEEOJ5eXl5mbzOq8npZOrBxlouXyZEWVbgJ4DBYMDHx4fmzZtTrlw5\n43IZ4yOEKKzGjRubtD5FUcjO0VHbVcb2CFHWFZj49OrVi169epkiFiFEGREdHQ2YLgG6o81CARwr\nyBR2Icq6AhOfV155hZs3bxIdHc1f//pXEhISqFatmiliE0K8oA4cOACYLvG5fkdLJbvyMkFDCFHw\nLSv27NnDsGHDmDdvHsnJyfTv358dO3aYIjZRRp0/f54JEybg7+/Pq6++ytKlSzH1vXQPHTrEuXPn\nAJg4ceIzl9+wYQO5ublFHdYLw8XFBRcXF5PUlZObi721TGEXQqgKTHyWLVvGxo0bcXR0pEqVKqxd\nu5alS5eaIjZRBqWlpTFlyhRmzJhBaGgoGzduJCYmhvXr15s0jh9++IGEhAQAvvjii2cu/9VXX2Ew\nGIo6rBfGwIEDTTaVPS4hDZ1iIa09QgjgKQc33z+jq2nTpvIBIorNzp076dChA3Xr1gXUW6QsXLgQ\na2trgoKCOHLkCAA+Pj6MGjWKjz76CBsbG65du0ZCQgJBQUE0b96c3r174+npyaVLl3BxcWHZsmUY\nDAbmzJnD5cuXMRgMTJo0iQ4dOrB7926++OILFEWhefPm+Pr6sm/fPk6fPo27uztDhgxh//79HD9+\nnMDAQAwGA1WrViU4OJjx48czd+5cGjRowLp160hKSsLNzY3ExEQmT57M8uXLzfhqCkVRqGCp4OZa\nseCNhRBlQoEtPra2tly/ft2Y7Bw+fDjf7C4hilJCQgK1atXKt8zOzo79+/cTHx/Pxo0bWbt2LeHh\n4cYBstWrV+fbb7/F39+fDRs2AHD16lX+/ve/s2HDBm7fvs3JkyfZtGkTlSpVYs2aNSxfvpz58+ej\n1+tZsGABK1euZPPmzdSuXRtnZ2c6d+7Mhx9+SPXq1Y1xzJ49m8DAQDZt2kTXrl2JjY195DEMGTKE\nypUrs2TJkmJ6lUq/kJAQQkJCir2e67fT0eYqWFvJFHYhhKrAT4MPPviAsWPHkpiYiK+vL3FxcXKT\nUlFsqlevzpkzZ/Itu3r1KqdPn6Zt27ZoNBqsra1p1aqVMfFo2rQpAG5ubhw9ehSASpUqGQfhV6tW\njZycHGJiYjhy5AgnTpwAQK/Xk5SUhKOjo3G8yfjx4x8bW1JSEg0aNADU5OZBph6HJJ5MncKeQw0X\nGdsjhLinwBaf1q1bs3HjRj777DPeeusttm3bRvv27U0RmyiDunfvzr59+7hy5QqgXjk8KCgIR0dH\nYzdXbm4ux44do06dOgCP7Hp91LL69eszYMAAQkND+frrr+nbty9VqlQhLS2NlJQUAAICAjhx4gQa\njeahRKZKlSrExcUBsHLlSrZv346NjQ2JiYkA+RI2jUYjY3yewMfHBx8fn2KtIz0rBw3gYFu2W6if\nZbLARx99xN69e4us7nXr1skPZVHiPNUNa86dO4dOpyM3N5fDhw/z22+/FXdcooyyt7cnKCiIWbNm\n4e/vj6+vL02aNMHf35+aNWvi6+uLr68vffr0oXnz5s+072HDhnHx4kVGjBjBsGHDqFGjBhYWFsyZ\nM4c333wTPz8/FEXhL3/5C61atSI4ODhfd9a8efOYMWMGI0aM4OzZs3Tt2pWRI0cyb948xo0bR15e\nnnHbtm3bMmHCBLO0Ao0aNcrYqqXT6WjTpg3ffPONcb2/vz9nz559qn3Fx8czdOjQh5avXLnSWMez\nuDvbzdXVFVdX12cu/yyu306nfPlyZXpMYkmZLCBESaJRCvhk/sc//sHBgweNv65B/TX73XffFXkw\n27ZtY9KkSXz++ef069evyPcvRFmwcuVKrKysGDt2LAcOHGD9+vXcvn2b0NBQcnJy6NevHzt37nyq\nhCA+Pp4pU6awcePGIomtR48ebNu2zdh65+3tXST7fZBeryfxdipulZ3LdOLz448/cvr06Xz3W8zI\nyMDa2prPPvvskZMF+vfvj5eXF9OnTyc+Pp68vDzGjBlD//798ff3x9nZmdTUVJYtW8asWbNIT08n\nISGB4cOHM3z4cA4fPkxgYCCOjo5YWlri4eHBe++9x6pVq/j555+xsrKibdu2fPjhh+Z6WYQJlcTv\n9QLH+Bw+fJht27ZhZ2dXZJUeP36c4OBgQkNDi2yfQgiVt7c3y5cvZ+zYsezZs4chQ4YQHBxMeno6\np0+fpn379vz666+sWbMGvV6PRqMxTtmfNGkSiqKQk5PDvHnzcHBw4Pbt27zzzjskJibSuHFjAgIC\njF+QSUlJ7Nmzh+zsbK5cucL48eMZPHgwJ06cYN68edjZ2eHi4kK5cuVo06aNcbZb+/bt2blzp3EA\neEGz9J7V5aQ0FEVTppMeePxkgd27dxsnC+j1eoYPH07Hjh2N22zYsAFnZ2eCg4PRarUMHjzYuN7H\nx4devXpx+vRpBgwYQO/evbl16xb+/v4MHz6cefPmsXTpUurVq8ecOXMA9Urd27ZtY/369VhZWfHe\ne++xe/duunfvbroXQ4g/FdjVVb169SJNer7++mtmzZpFTk5Oke1TCHFPs2bNuHjxIoqicOjQIdq3\nb4+XlxcRERH88ccfdO7cmbi4OFauXMm6detwd3fnf//7HydOnKBixYp8/fXXzJ49m8zMTAC0Wi2f\nfvopGzZs4MCBAw/dWV2r1fLVV1+xYsUKVq5cCcCcOXMICgriu+++o3bt2kD+2W6ZmZno9fqnnqX3\nLO5OYa9T2fF5XsYXQvXq1bl582a+ZQVNFgCIjY2lXbt2gNr93KBBA65evQpAvXr1AHB1dWXHjh18\n8MEHrFixAr1eD6iTAO5u4+npCcDFixdp1aoV1tbWaDQa2rZty/nz54v34IV4jAITH09PTyZPnsyW\nLVv47bffjP8Kq3bt2jLYTYhiZGFhQZMmTdi7dy+VK1fGxsaGLl26cPToUY4cOUKnTp1wcXFh2rRp\nTJ8+nejoaPR6PV26dMHT05N33nmHpUuXYmGhfjzUqlULJycnLCwscHFxISsrK199TZo0AdTZczqd\nDlBbGho2bAhAmzZtHorRxsaGPn36FDhL7+7+nkViagbpOoNMYadwkwUAGjRowOHDhwE1sY2JiaFm\nzZrAvYkDq1atwsPDg+DgYPr27Wscz1a1alXjuTx58iSgTiw4ceIEer3emJDfTY6EMLUCPxmOHTsG\nwKZNm4zLNBoNvXv3LlSFffr0IT4+vlBlhRBPp1OnTnz11VcMGDAAUJOPuxdTtLS0ZOnSpfz+++8A\njBkzBkVRiIyMpEqVKqxatYpjx47x2Wef8emnnxbYXfSo9W5ubly4cAF3d3eOHz+eb1uDwUDlypX5\n+eefGT16tPGL95VXXnns/p6WoihkZGXhVkmmsEP+yQKKopCRkUH37t3x9/fnxo0b+Pr6kpubS9++\nffN1KQ4dOpSPP/4YPz8/cnJymDhx4kO3GOnevTsBAQFs3boVBwcHLC0t0el0zJ8/n3/84x/Y29tj\nZ2eHk5MTjRs3pl+/fvj5+WEwGGjTpg09e/Y09cshBPAUic/dcTh3M3Vra+tiD0oI8Xy8vb2ZNWsW\n//znPwG1hcXBwYGmTZtib2+Pp6cnvr6+WFlZ4ejoSEJCAj169GDKlCmsW7cOvV7Pu+++W+j658yZ\nw4wZM6hQoQLW1tZUrVoVuDfbrUePHmRlZT32i7ewsnQ6LDSaMj+F/X4tWrR45GSUadOmPbQsKCjI\n+HjhwoUPrb9/XGbHjh0JDw9/aJuWLVvyww8/PLR8zJgxjBkz5qnjFqK4FDirKzk5mWnTpnHw4EHy\n8vJo164dixYtMn6QFcbjZoqUxNHfQohnt2bNGvr164ezszNLlizB2to6381e7161efTo0UVab8y1\nJBwqlKOatPgIUSKUxO/1Asf4zJ8/Hw8PDyIiIoiIiKBt27bMnTvXBKEJIUorFxcXxo4dy/Dhwzl3\n7hyvv/56vvWjR48u8qTHYDDgYKPBraJ9ke63LIiMjKRNmzbcuHHDuCw4OJjNmzc/1361Wi09e/Y0\njicCOH36NP369SMjI+Op9tGpU6fnikGIBxXY1RUXF8e//vUv4/P333/fOG6gsGrWrFlk1wURQpQ8\nffv2pW/fviat82pSGvo8mcJeWDY2NkyfPp3//Oc/RfYa2tvbExgYyKxZs/jxxx+xsLDg448/Jigo\nqEhnC4vSxWAwMHfuXKKjo7GxsSEgICDf4Prw8HBWr16NpaUljRo1Yu7cuVhYWPDKK69gb6/+sKlZ\nsyaffvppoeovsMVHr9fnm3qelZUlHyxCiOcSFhZGWFhYke1PURSsyJMp7M+hY8eOODk5sWbNmofW\nhYaG4uvry7Bhw/juu++4c+cOgwYNAiAqKop27dphMBi4efMm48aNy1e2ffv2dO3alS+++IKvv/6a\nl156iVatWgGwZcsWXn31Vfz8/Jg+fTq5ubls3ryZ119/HT8/Pw4cOGDcz2effca8efPknngvgB07\ndqDT6diwYQNTp07NN7YsOzubzz//nO+++47169ej1WrZvXs3OTk5KIpCaGgooaGhhU564CkSn/79\n+zN69Gg2bdrEpk2bGDt2LH369Cl0hUIIkZyc/ND1gJ5HijaLTL2ClUxhfy5z584lJCSEy5cvG5dd\nuHCBrVu3snbtWtasWcOOHTu4c+cOFStW5MaNG+zdu5dq1apx6tQpdu7c+cjZWpMnT2bfvn0cOnSI\nt956C4A7d+6wbNkyVq9ezbp163BwcDBet8nR0ZF169bh5eUFqAOt9Xo9c+bMKfU/vIurW/FBkydP\nJjIyskj3WVSOHDlC586dAfDw8ODUqVPGdTY2Nqxfvx5bW1tAbXwpV64c586dIysri7FjxzJy5Eii\noqIKXX+BnxLvvvsubm5u7Nu3D4PBwODBg3nttdcKXaEQQtz9Qisqt9MzqVZJxvY8r0qVKjFjxgym\nTZtmvPhgTEwM169fN47JSk1N5fLly/Tq1YtPPvmE33//nQULFrB//36OHTtGYGAgAHv37jVOmS9X\nrhw9e/bE1dUVS0tLQL2Qoru7u7Hrol27dvzvf/+jVatW+a7xk5SURHR0tPFCmC+C4uhWLE20Wq3x\nvIN6iQ29Xo+VlRUWFhbG+/iFhoaSmZlJp06diImJYdy4cQwZMoS4uDjGjx/PL7/8UqgfO09VokeP\nHqIQ6YsAACAASURBVMbrNLRv375MnighypKrV6/yz3/+k5SUFHJzc2nSpAkffPABAQEB9O/fny5d\nuhi3TUxM5N///vczTXpo3LhxkcWqy9VjbQl25WUKe1Ho0aMH27dv58cff+TDDz+kfv36uLu78803\n36DRaAgJCaFx48Y0bdqU4OBgqlWrRmZmJjt27MDBwcH4pXX/38ij1KxZk9jYWDIzM6lQoQJ//PGH\nMeG5e/FMUK8QffdK3nv37i1wv6VBx44dMRgMrFmzhhEjRhiXh4aGEh4ejkajoX///vj5+dG/f39+\n+uknKlSowLfffoulpSXe3t4EBQWRl5fHnTt3mDt3Lp6enqxZs4ZNmzZRuXJlY4uqVqtl5syZD91T\nzZzs7e3zDW43GAz5EhiDwcCiRYu4dOkSy5YtQ6PRUK9ePerUqWN8XLFiRRITE6lWrdoz119g4rN9\n+3ZmzJhB48aNycvLY+bMmXz++ef57usihHhxZGdn88477xAQEGAci/Hjjz8ydepUKlWq9ND2lStX\nfuaZnndvT1EUCdCVpFTsy/hd2IvazJkzOXjwIKBemdvLyws/Pz90Oh0tW7akatWqHD58GGtrawYO\nHMjmzZuxsrLi2v+zd95hUVxvG753gaUtvYodVIgmxqBGAWPB8iEGk6gooKJRE00xKjGxYMFGjCIa\nu8au2FBj7LFGEzuWWGKJWFGkKG2Bpe18f5CdHysgFrBl7uvKld0pZ87MyM4757zv89y9y6BBg0hL\nS6NDhw7cunWL1q1bExkZSVxcHHl5efz888/s37+fzZs3U1BQgJeXF6ampjRt2hQTExN27dpFUlIS\n+/fvZ8SIEQD89ttvopCim5sb8+fPx9ra+mVeoucmLCwMf39/cconOztbnFKEQt2jZs2a0a5dO3bv\n3s3HH3/Mtm3bWLJkCUePHmXYsGG4urqydetWNm3aRLVq1VixYgVbt25FJpPRqVMnAG7dulWip9rL\nxN3dnQMHDuDr68vZs2epU6eOzvoxY8agUCiYO3euGARv2LCBq1evEhYWRkJCAiqVCjs7u2c6fpmB\nz/Tp01m1apX4A6V1+v3ll1+e6YASEhKvNr///juNGzcWgx6ATz75hDVr1mBpacm6detYtGgRKpWK\nsLAwrK2tRV2uw4cPM2PGDAwNDbG0tBRduh9Fm7T6vIGPIAiY6IODVML+XDRp0oQmTZqI35VKJQcO\nHBC/9+vXj379+unsEx0dzdSpU2nZsiVHjx5l+PDhREREiCam2pyV9957j5UrV5KamsqAAQMYPXq0\naFqqnaoYOHAgHTp04MKFC9SuXZu1a9dy+PBhlixZwuHDh5k/fz4rVqzA2NiYMWPG8Oeff9KxY8cX\nc3EqiEenFbOyskqcUvT39ycsLAxnZ2dq1qyJlZUV9vb2zJ07FyMjIzIzM1Eqldy+fZtatWqhUCiA\nQiFJKBwxW758Obt370apVIqeai+Ttm3bcvjwYQICAhAEgfDwcLZu3UpWVhZvv/02GzZsoFGjRvTq\n1QuA4OBgunTpwogRIwgMDEQmkxEeHv7MOX1l7mVkZKTz41SvXj3pzUpC4g3mzp07JeZTVKlShZMn\nT9KlSxe+/PJLNm3axKZNm8QHoiAIjB49mjVr1uDg4MDy5cuZN29eiQrBj9ofPCvxDzNQSyXsOmgF\nYg0NDQkLC2PHjh3Y2trSoEED9u3bpyMk+SRMmjSJTz/9FCcnJ3FZWloahw4d4uHDh6xcuRKVSsWq\nVasASvTgyszM5KuvvuKbb76hXr167Ny5UzQtBXRMS0vyatN6y5mamnL9+nUaNGjw9BfmFaTotOKA\nAQNKnFJ0cnJCEAQWLVpEYGAgUHhPIiIicHFxYebMmdy9e5caNWpw7do11Go1BgYGXLp0iY4dO4qe\nakFBQRw7doyDBw++5LMunMocP368zjIXFxfx8+XLl0vcb9q0aeVy/DIDnyZNmrBw4UJ69OiBnp4e\nmzdvpnbt2qSlpSEIApaWluXSEQkJiVcDBwcHzp07V2z5rVu3aNSokWgtYWtri1qtFtenpKSgVCpF\nVffGjRsTGRlZ4jH8/Pyeu5+CIFCQn0d1O+k36El46623xKDiaQgNDS22TFuGrg1qs7Ozad26NVZW\nVsWC0NzcXL755hu6d++Op6cnUGhaunTpUvLz89HT0+PkyZN8/PHHXL58udj+GRkZJXrLvSlopxXN\nzMxKnFIE6NKlCzNnzhRTTDp27MigQYMwNzfH0dGRlJQUrK2t+eyzzwgICMDa2lqsiirNU007MvRf\npMzAZ8WKFRQUFBT7Afv111+RyWRcunSpwjonISHx4mndujXz58/n3Llz4nB5dHQ0VlZWyOXyUkdX\nrKysUKlUJCYmYm9vz4kTJ6hRo0aF9VOlziFXI4hVQhKP5/jx46xdu5bp06fTrl073N3duXHjBjY2\nNsyaNQuNRsOIESOIi4ujoKCATz/9FF9fX3r27ElYWBipqan8+OOP6Ovrc+nSJRYvXiy2bWxsTLt2\n7diwYUOx465YsYKLFy+Sn5/PmjVrAJg1a1aJpqUlvemX5i33uvIk04qP4ufnp/OyUJrvWZcuXUqs\nui7JU+2/TJmBz8WLF19EPyReQ44fP05wcDCRkZE6at5+fn7Uq1cPlUrF7NmzX3i/Vq1apVMpIfF0\nmJqaMn/+fMLDw0lNTaWgoABXV1ciIyPFUuWSkMlkTJw4kYEDByKTybCwsChVZKw8vLqSUjNxtJQ8\nuZ6FO3fusHz5cipVqkRAQADnz5/nwoULWFtbExERgUqlolOnTjpFLHv37qV9+/b06tWL/fv34+jo\nqNNmWFiYTpK7NrkWSn6Yl/TwHjhwoPjZxcVFNEUt6h5QIgm/w59dwaIuIIO8dFA6g2cU6P13RzYk\nSqbMwEetVrNv3z5SU1N1lj/qvSPx8unVqxfffvst9evXJzc3Fw8PD7744gvxR6dnz54oFArmzZtX\nbsOczs7ObN++XQx8rly5QnZ2NgCzZ89+plLn52XevHlS4POcVKtWjfnz5xdbXlRhtXnz5mJpsdaC\nxtPTU5zOqEgKCgowkIOJkfRQexasrKzEMuBKlSqRk5NDbGyseO+USiUuLi7cuXNH3GfAgAHMnz+f\nXr164eDgII4GvjI4eEOztf/7fjgI7m6BapLunIQuZQY+/fv3JyMjgypVqojLZDKZFPi8gnh5eRET\nE0P9+vU5deoUzZo14+DBg/Tr14+cnBzu3r3Lvn37yjUR1M3NjRs3bpCRkYGZmRlbtmzBz8+P+Ph4\nvLy8OHz4MLGxsUyaNIl//vkHlUrFTz/9hCAIfPvttzg6OnLnzh3eeecdxo0bR0ZGBqGhoaSkpAAw\natQoXF1dGTFiBLdu3UKtVhMcHMzHH39cYgVRVFQUaWlphIWFMXTo0FdOv0KikA8//PC59r+dnI6J\noUJKan5GSrpuLi4uxMTE0LZtW1QqFVevXtX53d+yZQuffPIJw4YNY8GCBaxfv/6pE6VfGAW5kB0P\nCis43g8y74A6Hip3hHcnwtHegABZdyBPBR4rwMINrsyCm6tBJoPqAeD6zcs+E4kKoMzAJzExkZ07\nd76Ivkg8J56ensydO5c+ffpw8OBB/P39iYiIICMjg4sXL/L+++/TunVrdu7cycGDB/n555/R19fH\n3t6e6dOnk5qayrBhw8jIyEAQBH788Uesra357rvvUKlUFBQUMGjQIDw8PPDz86NatWqcPn0aY2Nj\ntmzZgo+PD+vWraNSpUokJSUhCAJxcXFcvHiRrl27cuzYMRQKBcHBwdjY2HDz5k0WL16MsbExbdq0\nISkpiWXLltG0aVOCgoK4efMmI0aM4Oeff+bkyZPiqMLhw4cfW0G0atUqwsLCuHjx4hPrVxw/fpzB\ngwdTq1YtAHJycvDz86Nnz54v7P55e3uzc+dODA2fT4ivqGLuq4pW5O5ZEAQBQ7kGewuphL086dq1\nK6NHjyYwMFDUzClafVe/fn1GjRqFsbFxiVU5L52E/bC3JagTQSaHWp+D0gVsmkKTRVCghs1VCgMf\nKFznsRzu7oCz30ODyXB7HbT9s3D9gbZQ6f/AvPzENiVeDcoMfOrUqUNSUtIzCwVJvDjq1q3L9evX\nEQSBkydPEhISgoeHB0eOHOHKlSt88MEHnDhxAihMduvbty8+Pj5s3rwZlUrF3Llz8fb2JjAwkNOn\nT3Pu3DkuXbqEp6cnvXr1IiEhgcDAQPbt20dmZiYeHh4oFArUajXr1q0jMzMTe3t7Bg0aRHR0NGfO\nnNHpW2ZmJs2aNcPExIRLly6JVUBQKIKXk5PD1atXOXbsmBhsp6WloVQqGTlyJKNHj0alUtGxY8cn\nqiB6Wv2Kpk2bMn36dKCwEsXHx4ePPvqoRB2aV5nXQdn2yJEjAM80LZaUlkmupvQk6/86VapUEV8S\nQDdvRptUe/jwYXGZ9t88FHpiPYo2zwbQafeVQzvVlfMA9rcF05pgaA0PT8LhA2BgDgU5utsD2HnC\n6SGQegEyb8H+1oXLc1Mg4x8p8HkDKTPw8fHxoX379tSpU0dHLGjFihUV2jGJp0cul+Pm5sahQ4ew\ns7NDoVDQvHlzfv/9dy5fvkxwcLCogzBixAgWLFjAqlWrcHZ2pk2bNty4cUOsCHB3d8fd3Z1t27aJ\n1QQODg4olUpRCr169eqcOnUKFxcXYmNjOXfuHG3atGHOnDmlGlBWqlSJtLQ07OzsuHr1arH1zs7O\ndOzYET8/Px48eEB0dDSJiYlcvHiROXPmkJOTQ4sWLejYsWOpFUTaUtfn0a9QqVTI5XLi4+P56quv\nAMTptL///puff/4ZAwMD4uLi8PX15YsvvmD48OEoFAru3r1LYmIikydPpl69esWm6d59912+++47\nsQJm8ODB9OnTB4C8vDw+/PDDJ5aoL6k659dff+X69esMHTqUadOmceHCBVJTU3Fzc3suR+MnoTSr\ni6K+PIB4758l8MnJyaGqrVTCLlEKhjbguQr2tYLaX4KBJby/ADKuQexC0JbCPzwF9s0g6TBY1CsM\ncCzqQcudhVNdl6eD5SuWxyRRLpQZ+EydOpX+/fu/UQZxbzJeXl4sWLBATDZu2LAhc+fOBdDRXFq3\nbh0DBw7ExsaGMWPGsGfPHlxcXDh//jxubm6cPHmS33//XZz3r1u3LgkJCaSnp5eo3VS/fn0uXLiA\nr68vjRo1YuXKlaI679MwYMAAQkNDWb9+PSqViq+//ho7OzuSkpIICAhALpfTp08fDAwMSq0gcnFx\nYejQoXTp0uWp9CuOHTtGz549kclkGBgYMHr0aEaPHk14eDi1atUiOjqaRYsW4enpyb1799iyZQu5\nubl88MEHfPHFFwA4OTkxfvx41q9fz7p16/j++++LTdPVrFkTIyMjrl27hq2tLXFxcWKiqIGBwRNL\n1Lu7u5dYnaNFpVJhbm7O0qVL0Wg0dOjQgYSEBHGUrLx5nNXFggULdLZ9VKL+ScnOySVfQCphl3g8\nFnWhzjeQchYyrkLyUdAzBLPakH2vcJv4nXD3VxAKoOkyUNYEh9awpxlocsDmfTCu/FJPQ6JiKDPw\nMTU15bPPPnsRfZEoBzw9PRk1ahRTpkwBCl2AzczMigmX1a9fn/79+2NqaoqJiQktW7akRYsWjBw5\nki1btgAQHh6OmZkZI0eO5LfffkOtVjN+/Hhx5O/999/ngw8+ICIiAk9PT0JDQwkJCSE/P5/8/Hyx\nKqhWrVqiKqfWqTkiIoIvv/xS7E/RIXRtoFaUkvIJSqsgKjo0/zT6FUWnurSEhIQwbtw4oHA0Rjuq\npB0B1dfXx8jISNy+qOrs6dOnS5ymA/D392fTpk04OTkVk95/Uol6KLk6R4uhoSEPHz4kJCQEExMT\nsrKyyMvLe+Lr8bQ8zupi2LBhpKWlkZqayoIFCzh69CgxMTH89NNP9O7dm/bt23Pu3DnGjRuHqakp\nNjY2GBoaMnnyZJYsWcL27dvR19fni5DhNH63LrNmzSIuLo4HDx5w7949RowYIXoeSbz+CILAlbvJ\npKkLkMlkyGUg//f/Jgo51WzNMSr6AuPQsvC/orxdXHhRB9fB4OSju6zud4X/SbzRlBn4tGrViqio\nKNq2bavzpiwpNr+aVK5cWTSA1FI0kNi/fz9QmEjr7e1dbP+SSphLCkS07QAMHTpU/Lx06dJi22qD\nmtL2eZWpWbMmP/74I05OTpw6dYqkpCSg5KqYkpaXNE330Ucf4ePjw5IlS7C0tCymUVKjRo0nkqh/\nXD/gf0nOM2bM4OHDh+zZs6dCFW/LsroIDg6md+/eHDx4kNjYWGbNmoWZmRldu3bFy8uLsWPHMmXK\nFGrXrs306dNJSEgQPZ3Wrl2LXC7n7N9XOXG0MD9IoVCwaNEi0dNJCnxefwRBoKCggOSMbO6mqhm+\n8x9xXTVLQ77yqk5lK0sM/7W6kJB4FsoMfJYtW0Zubi4TJkwQl0mKzRL/FcLCwhg2bBj5+fnIZDIm\nTZr0VKqxJU3TaUeKGjduzMOHD0t8iXgSifqyqF+/PnPnzqV79+7IZDKqVq1KYmIiVatWffIL8BSU\nZXWh9XC6evUqp0+fJjAwEEdHR/Lz88W8qNq1awOFU7Q7duzg+vXroqfTnaQ07t+/z90bpXs6Sbxe\nCIJAbl4e99OySEzPISFDzbn4DJJVubg5mFLd0oiMnHy+8qqGezUrKlubl09Su8ey529D4rWlzMCn\npB8yCYk3jUdl5LW8/fbbOlNnUDgKVHRbbYVMaeJ+pZX9FhQU4O/vL34vOiL2pBL1pVXnaNm4cWOJ\nx64IntTqwtnZmerVq9O+fXuCg4OZO3cuVatWxdHRkWvXrlGrVi3++usvcdulS5eSl5eHnAJ2b9vM\nhx9+WKKnk8Srj0ajIVOdWxjoZKi5m6rm7wQVchnUczSjkoUR/g2ccDA3QWmswLOGFSaGBtS0t5Tu\nt0S5UWbgo9FoWLx4MYcOHSI/Px8vLy8GDBjwzHbwEhIS0KdPH6ysrPDw8HjZXSk3ntTqwtvbmxMn\nTrB79242b95MmzZtUCqVjB07lpEjR2JiYoKBgQEODg64urrSvn17Jk+bTpUaLjg4OJTq6STxaiEI\nAhqNhocqNYnp2SRkqLmVkk1cSjb2ZobUsDahjr0STxcbHMxN0NfXLxbc1KtqJwU8EuWOTChj0n/q\n1KlcvnxZNJNbt24dzs7OJTr2Pi87d+5k8ODBzJgxg/bt25d7+xISEq8uUVFRtG/fHmtra6ZPn46B\ngYGoDByX+JBKNhZSNddjmDx5MhcvXiQpKQm1Wk3VqlWxsrJi5syZL+T4giCQn59PQloWiRmF01a3\nHmahyi2gupUxlcyNsDczxN7cBHMTQ+Ry+Qvpl8TL5VV8rpc5bPPHH3+wceNGDP5NJmvZsmWxKhQJ\nCQmJp2Hr1q0AOtN5NjY29OnTBxMTE8zMzMSpw9y8fDTIpKCnDIYPHw7Apk2bRB2nikQQBLJz/p22\nSleTkJHDvXQ1Cj0ZlS2McTAzpF4lCxwsjFEYGEgjNxKvDGUGPoIgiEEPFFZSGEgZ9RISEs9BSQKX\nPj4++Pj4FFuekJqBrYXJi+jWG8mUKVM4c+YMGo2Gvn370qpVK7p3786QIUNwcXHh008/ZcmSJVy/\nfp158+ah0WjIzs4mMjISe3t7Bg8eTFZWFgYGBnz5zRCUdk4kZKhJysghNTsPS2MD7M0MqeNgRrNa\n9liaGurkdElIvGqUGfi4ubkRHh4uul1HRUU9s/iYhISEBPDEuU2CIKAHGJciOinxePbv309CQgJr\n1qxBrVbj7++Pp6cn06ZN48svv8Ta2pqRI0fi4ODAnj17iIyMxNbWltmzZ3P48BHeadSEpj6f4OTy\nFmnZuVzO1GAty8TezJDq1U1xtDDBUCGN5ki8XpQZ+IwdO5aJEycSEBCARqPhgw8+YPTo0S+ibxIS\nEq8oRU1dtbkdwcHB+Pr6lrh9z549CQsLE4UsXV2fzP8oIVWFgUJyYX9Wrl69yoULF0Sz3YKCAu7d\nu0edOnWoX78+ly5dwsvLC0EQqF7TmR0HDqNvZo2ZaxP0lObczJRjYV+ZxBuXSbl/h8b169G0flPp\nfki81pQZ+CiVSnGuPScn57mdoyUkJN4MiipdZ2Zm0rNnT2rWrFlMJbwktCKbjwuABEFAKMjHVhJL\nfWacnZ3x8PAgLCyMgoIC5syZQ5UqVTh9+jQmZhYEffY1m/44i5mlNakySxxcK2Nlasg/508jS7tN\n7bfrcfrSeXoGBREfH0+vXr3YvXv3yz4tCYnnotTAJzc3l9GjR9O2bVvatGkDwDfffIO1tTUTJkyQ\nytklJF5BSjMJnThxIr6+vjrO7cOHDy+2rCiPjtI8DlNTU7p168auXbvYsWMHMTExaDQa0Y5Cy/37\n9wkLC+PGjRuoVCrRDuTIkSOMGTOGhQsXcvr0aebPn8/+g4fQyA3IcLQt0aC1VatWODs7i3kqo0eP\nFl/OJkyYIFp5/Jdp27YtJ06cYODAgTjVcOHtRp4cu5FMZp4RTTp0RS6Xc/3iX9SyN+PKmQOs3rsX\nQ0NDbGxssLW1peOHHZg9ezbbt2+noKBAx+ldQuJ1pdToZebMmahUKt577z1x2fjx4xk3bhyzZs1i\nyJAhL6SDEhKvI8ePH2ft2rXiiMiuXbuYPXs2CxcuxMnJqUKO+TiTUCsrqwo5ZlFsbGxYsmQJdevW\nZc2aNeTk5Ih2FFquX7/Op59+SmJiIjdv3iQqKop58+aJth0nT57kwYMHhUrZ+oY4V7LjypUrJRq0\nxsfHs2nTJqysrBg8eDA9e/akRYsWHD16lIiICKZNm1bh5/wq8sknn5Cfn09cchpJqhxadPkUuUxA\nI4CBvh52SiMcatpjYqRALpfjXa/QZqS+61d8/dVXxdqbPXv2iz4FCYkKpdTA5/fff2fDhg06BowO\nDg5MmTKFbt26SYGPhMQTonVYX7ZsGba2thV2nMeZhGptMf766y8mTpyo4w+mUqkIDQ0lIyODxMRE\ngoKCCAoKAmDOnDkkJyeLVT5Vq1Zl8uTJHDx4kAcPHrB8+XJ69erF8OHDuXHjBgUFBezbt4927dqR\nmppKdnY2MTExCILAjBkzSEpK4tq1azg6OlK3bl3y8/MxMjKiZs2anDt3Dn19fd59911Onz5NVlYm\nLi5NSUlJKdWgVRvQXb16lQULFrBo0SIEQXiiEenjx48THBxMZGQkHTp0EJf7+flRr149VCrVC3vo\nDxkyhB9//FHHD/FJKVpWnpSRgwwNchmo8wXMjBS42Jthb26Cnp6elJsjIcFjAh8DAwOdoEeLUql8\npj9OCYn/Ips3b2bVqlUsXboUCwsLTpw4wezZsxEEgczMTKZNm4aBgQHffvstjo6O3Llzh3feeYdx\n48Zx6tQpfvzxR/T19TE2NhaDlZKClKioKBYuXIhcLkculzNq1CixD1qTUCcnJ44ePcr8+fOxsbER\n19+6dYsOHTrQrl07EhIS6Nmzpxj4aE1VZ82axa5du6hVqxZxcXGMHTuWNWvWsG3bNpo2bUpeXh53\n7tyhf//+rF27llatWjF06FCCg4O5du0aubm5uLm5IQgC/fr1IzQ0lCZNmvDLL78A0KZNG6ZOnUrr\n1q2pWrUql2/cQcjNBko3aC0qgOfs7EyfPn1wd3cnNjaWkydPPtH9cXZ2Zvv27WLgc+XKFbKzC4/7\nIkc6SrIbKQ2NRkNappqE9GzSs3Mx0pdRoBHI1YC1iQIHC1OUxgpJIFBCohRKDXzkcjkqlUp8u9Ki\nUqnIz8+v8I5JSLzuxMTEkJCQQFpaGgUFBQD8888/TJ06FQcHB+bPn8+uXbvw8/Pj5s2bLF68GGNj\nY9q0aUNSUhJ79+6lffv29OrVi/3795Oenk5KSkqJQcqmTZvo2rUrKSkpODs7k5+fL456aE1CDx8+\nTGZmZrHREFtbW5YvX87u3btRKpU6f99vv/22uE1ycjKxsbE0atQImUzGiRMnMDAwICQkhJSUFPz9\n/QkODmbLli3s3buXI0eOiCNc+vr6/PPPPyQnJzNixAgyMjJYtWqVaC7aqlUrRo4cydixY3FwcODg\n4WM4VytMkn4Sg9Zhw4YRFhZGTk4OarX6iZXl3dzcuHHjBhkZGZiZmbFlyxb8/PyIj4/Hy8uLw4cP\nExUVxebNm5HL5bzzzjuMGjWK3bt38/PPP6Ovr4+9vT3Tp09HpVLx3XffoVKpKCgoYNCgQXh4eODt\n7c3OnTsxNDQkIiICZ2dnKleuTEREBAYGBnTt2pWZM2eK2xRF61aelJFNcoaa/PwCTBVyVLkFyOV6\nOFmaYG9ugoFBcbsHCQmJkin1leDDDz9k1KhRZGVlicuysrIYNWoU7dq1eyGdk5Aoi+PHj9OwYUPi\n4+PFZREREWzatKnE7YcPH86hQ4fK7fhF81cexc7OjqVLl9KrVy++++47NBoNDg4OTJo0ieHDh3P8\n+HExyKhWrRpKpRI9PT3s7OzIyclhwIABJCYm0qtXL3bt2oW+vj62trbs3buXoUOHMm/ePHH/H374\ngRs3bhAdHc3Zs2fROtEUNQn9+uuv6d27t5hQrGXJkiU0aNCAiIgIfHx8eJyLjYuLC6dOnaJJkyYc\nOnQIOzs7pkyZQvPmzWnYsCEymQwPDw8GDBjA5s2badasGVAoTli5cmXWrl3Lhg0bgMKAZvv27QCY\nmZlx4cIFatWqRZ6gh5eXF3Xr1gUKDVq3bdvG6tWriYyMZOnSpYCuQWvVqlVZvHgxq1atYsOGDTq5\niWXRrl07du/ejSAInDt3rti+mzZtYvTo0aJdT35+Ptu2baNv376sWbOGVq1aoVKpmDdvHp6enkRF\nRfHTTz8RGhr62GuZk5PD6tWr+fjjj8VlgiCgzsnlZmIqZ28mcCUukZsJD4lPyUShL6eGvQW1nGxx\nd65Egxr2VLG1QCHp6EhIPBWlBj69evXCzMwMLy8vunbtSpcuXfDy8sLc3JyvSkiAk5B4WSgUPmnK\nfgAAIABJREFUCkaMGPHYh8zLoHr16hgaGtKjRw8MDAyYN28eo0ePJjw8nMmTJ2Nvby/2uaQH15Yt\nW/jkk09YuXIltWvXZv369aUGKevXr2fSpEls3bqVP/74g08++QR/f3/++usvIiMjxTb9/f1JS0sT\nLSOgcLRl9erV9OjRg+XLl6OnpyeOxDxKq1atqFKlCt26daNbt2783//9H/Xq1SvzWnh4ePDHH3/Q\nvXt3wsLCqFq1Kk2bNi1x2/z8XCyVxmW2WV74+fmxY8cOTp48SaNGjYqt/+GHH8Trc+/ePQRBYMSI\nERw7dowePXpw+vRp5HI5sbGxNG7cGCjMh1QqlcUUqov+G61ZsyYajYb0LDVdevfnSnwKtxMecDsp\nlbTsXKxNjajpYIWLkx3uzo64OtlgpTSWprAkJJ6Tx051TZgwgf79+/P333+Lw7wODg4vsn8SEmXS\ntGlTNBoNUVFRosI4wMqVK9m2bRsymQxfX1+Cg4MBWL16NYsXL6agoIBJkyahp6fHF198gaWlJc2b\nN+fdd98tlofj5OTEoEGDUKlUZGdnM2TIEHE0AyAyMpKMjAzGjBlDVFQUGzZs4N69e3z++efMnj2b\n8PBwPv74YxwcHOjevTvGxsbY2tqSmJhY6nnVr1+fUaNGYWxc+LAbP348d+/eZeLEiezYsQMzMzMx\nSHF1dSUoKAhTU1OaNWvGxIkTdaZNtFpcAIsXLwZ0fbK2bdtW7PgrV64UPwcGBoqfhw0bVmzbou0X\n9Yjq3bu3+HnLli2lnquW7JxcBNmLTcKtWrUqWVlZrFy5kpCQEO7cuaOzfv369YwbNw5DQ0P69u3L\nmTNnOHLkCAMHDsTGxoYxY8awZ88eXFxciImJoW7duiQkJJCeno6lpSUKhYLExEQqV65MYmIi7k29\nEJQ29BwwkIQHKaRkF2CgMMTB3BhbC6Vk9yAhUcGUWfpQpUoVqlSp8iL6IiHxzISFheHv788HH3wA\nQHZ2Njt27GD16tVA4XSJNlBxd3fn888/5+DBg0ydOpXhw4eTlJTExo0bUSgUREVFFcvDadOmDamp\nqSxatIgHDx5w8+ZN8dg//vgjMpmMsWPHotFoSE1NZdOmTcjlcvr27cv58+dp2LDhY6fY1q9fX+xz\nlSpVdJbHxcURGRlZYpDi7++Pv7+/+L1r165ERkZy4sQJLCwsaN269TNc1YrjyJEjAHh6euosz8jK\nxtZcWdIuFYqvry+//vorNWvWLBb4FA0qHRwcePfdd1GpVPTv3x9TU1NMTExo2bKlmKf022+/oVar\nGT9+PIIgMHT0eM5eu4NaI+OLb4aQkJqJTFPAoT07GTJoEJVkMr7uPZPgT9r/p41Yn6fKriTNqUuX\nLrFv3z6+/vrrCu+7xOuFpEIo8UZgZWXFyJEjGTZsGO7u7mRlZXHv3j1xxCEtLY1bt24BiNMZ7733\nHlOmTAEKgwxttaI2D8fExISEhATc3d2pXbs23bp1IyQkhPz8fNECIDk5mStXrlCtWqEWilwuFxN+\nTUxMuH///kstBujUqdNLO/bjuHr1KqAb+Gg0GniBLuxNmjShSZMmQOGDU3tPmzdvriPq+GhQCeDt\n7Y23t7fOMkEQiIiczv20LPLz87E01CMuOY2qNZyxMjXCxqxw5M65auFoTpN3/qdavX///go5x9eN\n8qyye+utt55IRVziv4cU+LxhxMXFERISojNS8F/B29ubPXv28MsvvzBgwABq1arFokWLkMlkLFu2\nDFdXV3777TfOnTuHu7s7MTEx1K5dG9AtjR49ejR79uxBqVQybNgwBEHgypUrZGZmsnDhQhITEwkI\nCKBVq1bY2tqyePFievbsyaFDh7C3t2fv3r1ER0eTnZ1Np06dyj33qGfPnri5ufHPP/+gUqn46aef\nqFy5MtOnT+ePP/7QqXyaNWsWtra2dO3alTFjxnD//n0SExPx9vZmyJAhDB8+HIVCwd27d0lMTGTy\n5MnUq1ePVatWsXv3brKzs7GysmL27NnlKmNRktFxSkYW5qYvLrfnedGWlSdlZGMgEzAxkJGWo8FA\nX5/K1uaYGCmwl6asnoonqbL766+/CA8PF4sFIiIigOKaU/fu3RNFRKOjo4mKisLCwgIDAwN8fX1p\n165didIQpf19Sbw5SFlyEm8UoaGhGBkZYWZmhoeHB4GBgXTq1ImbN2+K+Wl//fUXwcHBLF++nO++\n+65YGx07dqR79+4EBASQmZlJYmIiNWrU4MSJE3Tv3p1BgwbxzTffiNvLZDImTZrEhAkTsLKywtjY\nmICAAD799FPs7Owem8fzrNSvX59ly5bh5eXF9u3bOX/+PCdPnmTDhg1MmTKFzMxMne3j4+Np0KAB\nixcvZsOGDaxdu1Zc5+TkJAZv69atE6frli1bRnR0NAUFBZw/f75c++/p6akz2iMIAoKgwUhhUK7H\nKS+0RqzxKRlcvZvM3cQH3E1KITE9C3NjBVXtLLG3saZOZTtqOlhhamwo5ek8I2VV2Y0ZM4bw8HCi\no6Np0aIFsbGxQKHm1IoVK2jevDm7du0St3/48CGLFi1izZo1LFmyRBxB0upXLVmyhMWLF7Ns2TJx\nn0f/viTeLEod8Sma+FgSRatCJF49/v77byZMmICenp7oXbRs2TLc3d3x8fGhb9++NGvWjE8//ZRR\no0bRqVMnEhMTiYqKKrQLkMmYPXs21tbWL/tUHkvR6QooFNg8cOCA+L1fv3462xdNwi1K0RGyESNG\nlLjNzJkziy3TllRXr16dPXv2ALBixYon7P2zoy31dnR0JDk5mZs3b/L2228jl8tRKpXFRlQsLS05\nf/48x44dQ6lU6lRtaacDHB0dxQqlip6uS05OBhB1flTZOSgMXp2gRxAEcnLzSPh32srEQEZ2voAg\nk1PJSompkSQQWFH4+fmJlX8lVdklJyeLuTxFpyAf1ZzScvv2bVxcXDA2LhxN1AZSj9OvevTvS+LN\notTAZ/To0S+yHxLlzKhRo5g0aRJvvfUWe/fuZfLkyfTs2ZNffvmFli1bkp6eztGjR+nduzcXL15k\nwoQJLFiwgIULF2JsbMyYMWP4888/6dix48s+FYknoFatWkRFRaHRaFCr1Vy7dk1n/aZNmzAzM2P8\n+PHcunWL9evXl1pKf/ny5QqfrtMmaGtzsPLy8rB6CUnNWjQaDSp1LklpWRjIBfRkkJ0vYGKowMnK\nAn19SSDwRVFWlZ29vT03b96kRo0aLFy4kJo1az62vWrVqnH9+nXUajUKhYJz587h7OwsSkMEBQVx\n7NgxDh48WJGnJfEKUWrg8/7774uftZ47WhXR27dvv5DOSTw7iYmJ4pt848aNmTZtGg0bNmTSpEkc\nP36cdu3a8dtvvxETE0ODBg2QyWTY2NgwbNgwTE1NuX79Og0aNHjJZyHxpLz11ls0b96cLl26YG9v\nr2NJAYU6Ot9++y1nz55FoVBQvXr1UqfgqlevLk7XARU2XaclNy8f2Qss4RYEAY1Gw0NVNhnZuRjq\ngUaAXA3YmhtjZmwojea8ZB5XZTdu3DhGjhyJXC7Hzs6O3r17P3aU1drams8++4ygoCAsLS3JyclB\nX1+fVq1alSgNIfEfQCiDGTNmCHXr1hXq1q0rvPPOO4Kbm5vw4YcflrXbM7Fjxw6hTp06wo4dOyqk\n/Yri2LFjgru7u3Dv3j1x2dSpU4WNGzc+d9szZ84UVq9erbPM399fuHPnTonb37lzR/D39xc++eQT\n4dKlS4IgCMKePXuEAQMGCIIgCKGhoUKPHj2Ev//+WwgPDxf8/f2FI0eOCOnp6UKzZs2E/Px8IT8/\nX+jZs6ewYcMGoVWrVoJardY5xsGDB4W1a9c+97lJSAiCIDxMyxAKCgoqrH2NRiPk5uYKd5JShVsJ\nD4S7iQ+Em/cfCHeSUoWcnFxBo9FU2LElXj55eXnC3LlzBUEo/LcQGBgonDhx4iX36r/Dq/hcL7Oq\n69dff+XAgQNMnjyZ77//nuPHj/P777+/gJDs9UKrHrx06dJXYkh84sSJTJgwAUEQ0NPTIzw8HIC2\nbdsyYsQI3NzcaNasGZs3b6Zx48bo6enh7u5Ot27d0NfXx9zcvNS3/KKlvhISz4MgCMigXEdYBEEg\nS53LQ1U2erLCKbo8DZgbG2JhaiaN5vzH0NfXJzs7m08++QQDAwPq169fYu6QxH+HMgMfa2tr7O3t\ncXZ25vLly3z00UcsX778RfTttaI09WAoriDs5+dH7969+fXXXzl79iyfffYZx48fJzExkdDQUFFZ\ntyzu378vGjMmJSUxePBg2rRpQ3Z2NtHR0QiCgLOzMzY2NmLZ8sKFCwkMDCQkJIQHDx5QqVIlzp49\nS6NGjTAxMUGhUKBWq/H19eXjjz8mOjqasLAw4uLigEItjX379nH9+nUCAgJ0FI+bN2/OxIkTgcJk\n2vDwcMzMzMr3Qku8EWiLI1q1boOxsWEZWz8ebVl5dk4ecpmAIEABMuzMTTCUfKwkgJCQEEJCQl52\nNyReEcoMfPT19bl9+zbOzs7ExMTQrFkz0tPTX0TfXjseVQ8GuHbtWokKwpaWlsTHx3Po0CEqVarE\nhQsXOH/+PG3atCnW7rJly9ixY4dOmwDXr1/n008/pUmTJpw+fZpZs2bRpk0bMjMz+fDDDxk7diw+\nPj6MGDGCIUOG0KNHD3FfIyMjVqxYwT///MO3337L6tWrOXnypFjdVNQAsnPnzjRq1Ijhw4frLAd0\nFI+7du1KeHg4tWrVIjo6mkWLFjFkyJByuroSbxJaDytNQQGGJk+u3SP8m2f4UKUGoQBBAAEw0NfH\nwUqye5B484iLi6Njx446nnhNmjQhNjaW6dOnP1EbX3/9dTEByDVr1pCcnMzAgQPLtb+vA2UGPv37\n92f06NHMmzePGTNmsHnzZlq2bPkCuvb68ah6MBQq1JakINy2bVsOHjzImTNn+Pzzzzl8+DBnzpwR\np6SK0rt3bx2vpK5duwKFSafz5s1jw4YNyGQynXJM7R+Jubm5WPppbm5OTk4OgGgQWbt2bZKTk1Eq\nlYwcOZLRo0ejUql0qrmKlomq1WqdvhVVPI6NjRWdv/Py8qhRo8YzXEWJ/wIeHh7o6+tjUEYJu/Bv\nWblKnQuCBgANMsyMDDEylEZzJP4b1KpVS8c77/jx46J+0ZPwtKrXbzplBj6tWrWiVatWQGG+z61b\nt3B1dS1jr5LRaDSEhYVx5coVFAoFEydOpHr16s/U1qtKUfXg7777Dmdn5xIVhN966y2GDh2KlZUV\nH3zwAX369MHMzEzUNXkSfvrpJ/z9/WnRogUbN27kl19+EdeV9UC4ePEiH330EVevXsXBwYHExEQu\nXrzInDlzyMnJoUWLFnz00UdltlU0X6JmzZr8+OOPODk5cerUKZKSkp74XCT+W7i6uqLKzMTIUFcN\nWqPRkJ2bS15e/v9K6OV6WJoaoaf3Ys1LJSReB7Zs2cLy5ctRKBTUqFGD8ePHs3XrVjZu3IhGo+Gb\nb75h6NChHD58mJiYGMLDwzE3N0dPT0+s3J02bRoXLlwgNTUVNzc3fvjhhwrtc1mxwP79+5kzZw76\n+vp07tyZrl27lmv8UGbgk5mZyZw5c/jzzz/R09PD29sbZ2fnZ5Kv37t3L7m5uaxbt46zZ88yefJk\n5s2b90wdf5UJDQ3l2LFjQKEEu1ZBODc3l/r16+Pg4ICenh45OTk0bdoUC4tCnZCnHUnz8fFhypQp\nLFy4UMem4Em4dOkSvXr1Ijs7mwkTJmBnZ0dSUhIBAQHI5XL69OmDvv7TOZqEhYUxbNgwUQBx0qRJ\nT7W/xH+Hq1evYmhkhLGREbm5eeQXFAD/m7ayUJpKQY6ExL9cu3ZN9JKD/wk3pqSkMGvWLH755ReU\nSiXh4eGsW7cOExMTzM3Niz1fx40bx8yZM6lZsyZjx44FQKVSYW5uztKlS9FoNHTo0IGEhARR6b4i\neFwskJeXxw8//MCGDRswNjYmMDAQb29vTp8+XW7xQ5lPtlGjRiGXyxkxYgSCILB+/XomTpzI+PHj\nn/pgp06dEvNfGjRowIULF0rc7sCBAzRu3BhbW1uOHDnC1atXqVOnDp6eniQnJxcTP9u6dSsPHjzA\nw8MDV1dXrly5wtGjR7GxsREVqLVy5B9++GGFtBsaGgogtjtp0iSxXX19fXx8fIq1O3HiRLHd9u3b\n62ivaNsNDAws1t/169eTnJxMcnIy/v7+Ou0uW7aMefPmYWhoyJUrV/D19eXMmTNUqVKFuXPnsmzZ\nMs6ePUvz5s357LPPOHLkCDExMaSnpzN+/Hid6wCFkbe2v35+fmJ/09PTOXPmjJgTpO3v9OnTxf4e\nPHiQ+Pj4V/q+Se2+nHZv3ryJhYUleXn5ODg6YGJsxI4dO17Z/krtSu2+rHb37duHhYUFo0aNEttd\nu3Yt9+7d486dO9SqVYsNGzYAhSOp586dw9TUlMzMTI4cOYKnpycajYZly5YRFxcnCj7KZDLOnj3L\nrVu3ePjwIf369SM9PZ0HDx6Ql5dXbtfh3r17PMrjYoHY2FiqVauGhYUFAA0bNuTkyZOcPXv2ieKH\nJ6HMus6///6badOm4eHhgaenJ5GRkZw8efKZDqZSqVAq/6fOqqen91KdqyUkJF4OaWlp/PnnH1z6\n+2+EAg2Z2Wqq16jJW3XroWegoODfESAJCYnSqVKlCrGxsaLw4pkzZ3QCm0cxMzMTc4O0wpCnTp0i\nPj6e7777jpYtW5KXl1fuSu2P8rhYQKVS6VQDm5qaolKpyjd+KEvoJygoSHjw4IH4PSMjQwgMDHwm\n0aDw8HBh+/bt4vcPPvhAZ/2rKHQkISFRsWg0GkGVmSWkZ6iE/Px8IScnV0jNyBRS0jKEh2kZwsP0\nTCEvL08SGnyFqWgRVzc3N+H+/fvisuTkZKFu3bpP3f7EiROFu3fvPnefXiRaUdqiHDt2TBg8eLAg\nCIKwZcsWoXPnzoK/v7/w7bffCmq1Wti4caMwdepUcXtPT09BEAThr7/+Ejp16iQEBwcLX3zxhTBz\n5kwhMTFR6NSpkxAUFCR0795d6Ny5sxATE1Nu/S/puf64WODSpUtCv379xO+TJk0Sdu7cWWb88DSU\nOdVla2tL586d8fHxQU9Pj3379mFrayvqtYwaNeqJgyx3d3cOHDiAr68vZ8+eLWakKCEh8d9DJpNh\namJMQUEBqqxs9PT0MDc1RiaTIQgCuXl5pGWpQVNY1SXI5FKy8ytIRYq41qhRg507d4rTKTt27KBS\npUpP3Y42JeF1okqVKjomyqBrzuzn51fMVLxTp04637UyJPXr12fjxo3FjlHSsorkcbGAi4sLt27d\nIjU1FRMTE2JiYujbty8ymazc4ocyp7pq165N586dMTU1xcjIiA4dOtCkSRMsLS2xtLR8qoO1bdsW\nhUJBQEAAP/zwQ6ku2BISEm82y5YtE/MHtOjp6WFhpkRPrkdqugp1bi4ymQxDhQIbcyU2luZYW5hh\nZqTgoSqb5NR0ElPSSEjJeCHD8xKPR1uoERUVVWzdypUr6datGwEBAaxYsYKUlBSxavTs2bM0btwY\njUbD/fv36du3b7H9fX192bVrl/j9wIEDYrUxFFYlBQYG0q1bN3bu3El+fj4BAQH88ccfJCcn06FD\nB+Lj4+nZsyexsbE8fPiQzz77jICAALp168bNmzdJT0+nf//+dO/enYCAAI4ePVoBV0kCSo4Ftm7d\nyrp16zAwMGD48OH07duXgIAAOnfujIODQ7nGD2WO+Hz99dfP3PijyOXyZ0qKlnjziIuLIyQkROdN\npixBrVmzZmFra6ujaSRRsfTo0YOvvvoKDw8PcdnEiRPZuHEj27dvx8nJqcw2Nm3ahIWFBa1bty5x\n/cKFC2natCn169cHwNhIgZGhAemqLLKyc7BQmqCnpwcUjg4ZGiqw/7cMXvhX5yc5Ixs5GgQBNMix\nMTNCYSDp/LxoKkrE1dbWFmNjY+7cuYNGo8HR0RFDw0LF74MHDxIXF8eaNWvIycmha9eueHl5ERER\nwYABA7Czs+P777/XGSGaO3cu3t7eBAYGcvr0ac6dO8elS5fw9PSkV69eJCQkEBgYyL59+6R/QxVA\nSbGAVm8OCmVhvL29y9znWSk18AkMDGTNmjW89957OjdeEARkMhmnT58ulw5ISEi8uvj7+/Prr7+K\ngU9ubi4HDhzg8OHDmJiYPFEbjw67Q2GViJbPP/+82HqZTIaFmSn5BQWkZmQi19PDUmlS7CEkk8kw\nMlRQqUggpM7JIyk9G31ZFhpBoECQY2duLNlXvAAqSsQVoEOHDmzfvp38/Hz8/PzE6ZurV69y8eJF\nsdw7Pz+fu3fv8tZbb+Hu7i5WsRblxo0bdOnSBSicdnF3d2fbtm3ilJGDgwNKpZIHDx48lbaaxOtB\nqYHPTz/9BKBT2iwhUd48raDWvn372LVrF6mpqQwaNAhvb+8SBbzKUgSWeDJ8fHyYPn062dnZGBsb\ns2/fPry8vOjfvz9hYWHs2LGDM2fOkJWVxaRJk9i1axd79+7F2tqa7OxsBg0axIkTJ7C1tcXZ2Zmf\nf/4ZAwMD4uLi8PX15YsvvmD48OH4+vri7u5OaGgoGRkZJCYmEhQURFBQEDaW5qiy1CSnpmNiZITp\nY7y9ZDIZxkYKqhj9LxDKzsklMT0Lff41LBXAztwEY0OFFAhVABUl4vp///d/9OnTB1NTU7788ksx\n8HF2dqZJkyZMmDABjUbD3LlzqVq1KmfPnuWff/6hcePGLFmyRGcKzcXFhfPnz+Pm5sbJkyf5/fff\ncXFxISYmhrp165KQkEB6evpTp3NIvB6UmuNjb28PQEZGBuPGjaNy5cqoVCq+/PJL0fZAQuJ5GTdu\nHNOmTWPZsmVUqVIF0BXU2rhxI2fPniUhIQEofBNbvnw5I0eOZM2aNaKA1/Lly1mzZg1mZmasW7fu\nZZ7SG4WhoSFt2rRhz549QOG0VUBAgM42zs7OrF27lry8PP744w82bNjAnDlzSlTuvnfvHrNmzSIk\nJIQFCxborLt16xYdOnRgyZIlLF68WCcHSGlihK2lOercPBJT0p643F0mk2FiZEg1O0uc7KyoZGuJ\nrZkJielZ3EtO4W7SQ24kpKDKypFyhMqR0NBQjIyMAF0R106dOnHz5k0cHBxwdHR8KhFXMzMzHB0d\nqVu3ro5ivLe3NyYmJgQFBYmji4IgEBoaSnh4ON9//z2//vor58+fF/cZMGAA+/bto2fPnsycOZOA\ngAD69+/PsWPH6N69O19++SXjx49/ahFXideDMu9qWFiYGCm7uroycOBAxo4dq+MbIiHxrCQnJ4u6\nE+7u7ty+fRtDQ0MePnxISEgIJiYmZGVliYJaWg8yrW+YVsBLq+/QuHFj/vzzz5dzMm8o/v7+TJky\nhSZNmpCenk7dunV11mvvX2xsLO+88w56enro6emJHm9FqVOnDvr6+ty6dUvn4QWF93T58uXs3r0b\npVJZTKNDJpNhY6Ekv6CA5DQVcrkcWwvlU43ayGQyTI0NxVEjQRDIUueSkJ6FQpUJQI4G7MxMUBor\nivVRomSKVhkBKJVKDhw4IH7v168f/fr1K7ZfdHS0+Lm0F5aiOX+zZs0SPw8dOlT8XFKi6/bt28XP\nW7ZsAdB5bs2fP7/YPnPnzi2xDxJvFmX+VWdnZ9O2bVvxe5s2bVCpVBXaKYn/Dg4ODqKglvaN7NCh\nQ8THxxMZGUlISAhqtVp8G3/0IacV8MrKygLgxIkT4oNYonxwdXUlMzOTFStW0Llz52LrtcFBrVq1\nOH/+PBqNhtzcXP7+++9i22rvX506dcSEZS1LliyhQYMGRERE4OPjU+oIjL6eHg7WFigM9El8mEZa\nZvYzn5s2EHJ2sKKKvTWV7axwMDchKSOLu8kpxCU+4Fr8A1JU2Wj+LaeXkJB4vSkz8JHJZFy5ckX8\nHhsbK70FSZQb48eP5/vvv6dXr16itHn9+vW5c+cO3bt355tvvqFq1aokJiaWuL+1tTUDBw4kODiY\nrl27kpKS8spXffXq1Ytz584BhcnCDRs2ZNGiReL6nj17cunSpXI73pAhQ0Rl12elc+fOREdH06FD\nh1K3cXV1pUWLFnTt2pWvvvoKAwODUqcKPD09i/n9tWrVitWrV9OjRw+WL1+Onp7eY/ttYWqMvbUF\n6tx87iWnkpf3/CrwMpkMpYkRLo7WVLW3obKdNQ4WpjzIyOZuUgp3Ex/wz71kHqRnSoGQhMRrikwo\nY2L7wIEDfP/996JY0PXr14mIiMDLy6vcO7Nz504GDx7MjBkzaN++fbm3LyHxKrBw4UL09fXp06cP\nR48eZe3atTx8+JCVK1eSk5ND+/btX8sy2gcPHrBr1y66d+9Obm4uHTp0YPny5SWWvCcnJwOUW8VM\nXn4+SakqZHIZjlbmFXbtNBoNquxcEtIyMdQDPRmo8gSsTI2wMTNGLpe/dvdNQqIieRWf62Xm+LRq\n1Ypdu3Zx+vRp9PT0ePfdd3XMNCUkJJ4OT09P5s6dS58+fTh48CD+/v5ERESQkZHBxYsXee+99/D3\n9xeNBwcPHkyfPn3IyMhgxowZGBoaYmlpSXh4OJcuXWLhwoUYGBhw//59AgICOHbsGJcvXyY4OJig\noCC8vb3ZuXMnY8eORaFQcPfuXRITE5k8eTL16tUjOjqaqKgoLCwsMDAwwNfXt8QS9LKwsrLiwoUL\ndO7cGZlMhr+/f6k6P48aGz4vBvr6ONlakqLK5v6DVBSGhlgrjcs9CJHL5ZibGmFuWpi4q9FoyMjO\nISEtC7Vajb5cRkaegLmJIXZmxpK6tITEK8gTpaxrczDy8/M5deoUAO3atau4Xklw/PhxgoODiYyM\n1Jle8PPzo169ekyePLnYPtrcmG7dur3Irko8JXXr1uX69esIgsDJkycJCQnBw8ODI0eOcOXKFby9\nvVmzZg3Xrl3D1taWuLg43nnnHVq3bs2aNWvEyrZ58+bRsmVL7t+/z+bNm7l48SKDBg3voni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oXS7t27pfDwcKl3795SXl6epFAopC+++EI6evSotHz5cmn27Nmqc3To0EHKycmRzp49K3Xt2lXK\nzc2VsrKypHfeeeeZ6xXt+6TWrVtLkiRJgYGBUlZWliRJkjR9+nTp559/ls6ePSuNGDFCGjRokHTk\nyBFJkiTp6NGj0hdffCEpFAopLy9P6t27txQeHi7t3r1bWrhwoSRJkhQcHCzFxcWpzrtq1ap/+UoK\nQvV26tQp6dSpU1XdjH8tOzdPinqQKEU9TJSycnKrujlVSqFQSDk5udLt+MfSmZsPpf9eui2tOxYu\n/Xg+Sjp2I0aKeJAkpWZkS4WFhVXdVEGNyvtcrwql9vg8HaFXp2ymZmZmTJkyBX9/f9VE0ejoaJo2\nbYpcrhx3d3Nz4+bNmwCl9p7Ur18fbW1tgApVpM7IyFBVqi9tnsf58+dp0KCBam5IVFQUbm5uqm7j\npk2bEhUVVey8pWUtFYTXVWRkJMAzRVdfNbrachzsLEhMzSQ5NZ3sQnCwrt7ZnyuLTCZDR0ebutba\n1LU2RZIkcvOUPUJxadlcfZjK4fB4TPXk1DTVw9ZYFxsTfUz0K7fMhiA8rcL/26pbV2XHjh1xcHDg\np59+ApT5Wv766y8KCgqQJIkLFy6oAp4n/6iK5moU3X4e69at48MPPyxznkf79u1ZuXIl3333HfHx\n8Tg5OamGufLz8wkLC6NOnTpoaGio2jF9+nTmzZvH/Pnzsba2FmPkwmvP2dkZZ2fnqm7GSyGTybA2\nNaSGlTkymYz4pBQeJqe/8X/HMpkMXR1tHGxM8ahvR68WdRna2gkPRwu0tTS4+jCVjaej+eH0LY5e\nj+F6zCOS0rKeaw7mv3I9AELtoDCn8q4R/wecVCZ25P5PkPWw8q4lVFip3RwRERHFeh5ycnJo3rw5\nkiQhk8mqxcTcqVOncvbsWUCZ+v7DDz/E19cXhUJBixYt6NSpE+Hh4cWOcXNzY8SIEXzxxRcVusbQ\noUNVQYqLiwtfffUVcrm8zHkelpaWjBkzhilTprB+/XrOnz9Pnz59yM/Pp0uXLjRu3BiZTEZgYCCN\nGzd+rqylgvA6eNV7ekoik8lwsjUnOzefB0kpRMfmYGNmhGE1LH5aFWQyGXq62jjqauNoo5wjlJ2b\np+oR+utBGrevxmGuL8fRQl/ZI2Ssh4WRXuX0oN0Jhjp94e4OcBz88s//tIhl0HI1UKPyryWUSSaV\n8rXkwYMHZR5Ys2bNl96YgwcPMm7cOL777js+/PDDl35+QRCqh0ePHgGv7iTn8kiSRGJqJjk5OWQX\nQj1bszdy+Ot5SJJEVk4esSmZxKXncC85m8jEDMz1tWlgbaAKhCyNns0uXfSFvMLi/1AGIs3mw+kB\n0OUCRK6C21sADbBoCW7L4X4oXF8AGnLQqwFtdkD2Qzg/EhQ5kB0LrnPA/iP4uS54hYOmLlyZDMYN\nwaAu3FwNDgPhdH8wcob3T4Km9kt+9aqv6vi5XmqPT2UENoIgCAD79u0DqncCw3+jaPhLodAnOj6F\nB4mPkWnJX4nip1VFJpNhoKdDPT0d6tkpg5nM7Dxi/5dZ+mpsGjvCHmKuJ6eJnZEyEDLSxcpYj+sP\nktGRa1HftoLzq6LWg9MwMG4Amjrw6BxEb4KWq5RBz81AUBTAne3gMglq94boHyA/DdLCwWUC2LSH\nxNNw9T/KwKcsNbuBWTNlj88bFPRUV69eARpBEIRXhIaGBvXszMnOzeNeYgo3HyRiY2aEicGrU/y0\nqshkMgz1daivr0N9O2gjSWRk5yp7hNJy+PthGlsfxmCqJ+fMvRQy8xSM8rDH3cGc2pYmpQeYeY/h\n4QHISYDIFZCXCpErodUmuLEIMm+DpQcgQfMlcP1b5X7GLsoAR9cOrs2BqA2ADBT5z17jDZ/fVd2J\nwEcQBLV7XXt6SqOno41zTSsSUjNJTEnnYXIG9ezMXsnip1VFJpNhpK+Lkb4uzjWUPUI9s3O5dOcR\nP19PBGDhsTvYXnrIl23r0LSWGVYl5Ve6HQxOn8LbC5X3C7JgjwPIjeGd1cqhqqMfKHtz4o7AWzNB\n1xrOf6acoBzzM9QbDjU+hKhNcHuz8jyausqhL4O68PgKmLg89QQ0ADVN3BbKJP7qBEEQ1EAmk2Fj\naoiVsT5RcY+5F5+MplybOlZl9E4IpZLJZBjp6VDDRJd1Pk2QIUMmAxkgk0FqVi4m+jrPlhaJWg8e\nQf/c19IH+49B1wYOtwW5EejVBEt35dDWH17KbVqGUNMLNLQhbCJc+xb0a0Gucr4aLl/BH12VgY+2\n2bMNtmwNZwZBh19Bx7yyXhahAkoNfAYOHFjmH+MPP/xQKQ0SXtzatWs5ffq0Kpu0v78/TZo0ea5z\npKSkcOLECbp3787kyZPp2rUrnp6eJe577tw5xo0bR7169VR1fQYNGkTXrl1LPX9553zS4cOHcXV1\nrRZ14oSXa+/evYCyjtqbRkNDg/o1LMjOzSM6PoXr9xOwNTPC3FBPBEDPSSaT0aDmc06Q7/rns9ta\nrlL++9aM4ttrdVf+PKmur/LnaU5DlT9Ps2mv/LfpHOWPUOVKDXyKykEcPnyYjIwMPv74YzQ1Nfn5\n558xNjZWWwOFirl16xZHjx5l+/btyGQybty4gb+/P3v27Hmu80RERHD06NEKfyC1atVKVb8sMzOT\ngQMH4uDggIuLSzlHlu+HH35g5syZIvB5DSUlJVV1E6qcno42jeytiE/JIP5xOrGPM6hva/baFT8V\nhOqm1MDngw8+AGDDhg3s2LFDlQSwffv29OnTRz2tEyrMyMiIhw8fsmvXLjw9PXFxcWHXrl0AXL9+\nndmzZ6OpqYmOjg6zZ89GoVDg5+fHzp07AfDx8WHJkiWsXr2a8PBwfvzxR0BZzX79+vVkZGQwc+ZM\nXF1dS22DgYEBffr04dChQzg7OzNjxgzi4uJISEigY8eOjB8/XrXvn3/+yZw5c1i2bBkKhYIpU6ZQ\nWFiITCZj2rRpxMXFqYK3bdu2sWLFCv7++29SUlJo2LAh3377bSW+mkJl8/DwqOom/Gvz58/n2rVr\nJCYmkpOTg729PWZmZixfvrzC55DJZNiaGWFtYsCtuMdExSWjLZfjZGv20nt/zp07x44dO1640PLa\ntWtp1apVie8BN27c4LfffmP06NH/tpmCUOnKnePz+PFjcnNz0dNTrkLIzMwkNTW10hsmPB8bGxsC\nAwMJDg7m+++/R1dXl/Hjx/PBBx8wbdo05s6di4uLC0eOHGH+/Pl89dVXJZ7n888/Z8eOHfTp04ew\nsDAaN27MqFGjCA0NJTQ0tMzAB5SlPK5du0ZsbCzNmjXD29ub3NxcPD09VYFPWFgYZ86cYfXq1VhY\nWPDll18yaNAgOnXqxI0bN5gyZQqhoaG4uLgwc+ZM8vLyMDY2ZtOmTSgUCrp160Z8fLzoCXqFNWjQ\noKqb8K9NnjwZgNDQUKKjo5k4ceILn0tDQwPnGhZk5eRxK+4xf96Jp4aZYcmTc6vIiBEjSn3MxcXl\npfTyCoI6lBv4eHl54ePjw/vvv48kSRw6dAgfHx91tE14Dnfv3sXQ0FDVE3L16lWGDx+Ou7s7CQkJ\nqjelli1bsnjx4meOLy29fuPGjQFlormcnPJTuz98+BBbW1tMTU25evUqZ8+exdDQUFW7DODUqVNk\nZmaq6qNFRUXRsmVLQPkGGhcXV+ycOjo6JCcn4+fnh76+PllZWeTnl7CEVHhlREREAK9HAPS0gIAA\nwsLCUCgUfPrpp3Tu3BlfX1/eeustIiIiyMrKYvny5eTl5eHv74+1tTX379+nefPmTJ8+ndqmOuz8\neT8NmrpxLi2NBjUtqO/ogL+/PzExMeTk5DBkyBC6d+/OokWLuHjxIvn5+XTt2pVPP/2U8PBw5s6d\nCyjrGs6bNw9DQ0N27NjBmTNn6NOnj6pdp06d4rvvvkNHRwdTU1PmzZvHjRs3ivUMtWnThlOnTqnm\n59nb2/P111+jpaWFQqFg8eLF3Lt3T3VMcHAwv/76K9nZ2ZiZmbFy5Ur27dvHsWPHyMnJ4d69ewwf\nPpxevXpx/vx5Vq5cqczZk5nJ4sWLS62tKAgvS7m1usaOHcvYsWNJS0sjPT2dyZMnM2zYMHW0TXgO\nERERzJo1SxVgODg4YGxsjKamJtbW1qrSHRcuXKBu3bro6OiQlJREYWEhaWlpxMTEABSrIQbPV88s\nIyODkJAQunTpQmhoKEZGRixevJihQ4eSk5OjCq5Gjx7N4MGD+eabbwBwcnLi4sWLgLLLvCibr0wm\nQ5Ikjh8/TmxsLEuWLMHPz6/YuYRX05kzZzhz5kxVN+OlO3r0KPHx8Wzfvp0tW7awYsUKMjIyAGjW\nrBlbtmzhnXfe4cCBA4DyC8v8+fMJCQnh8OHDJCcns3r1akz15Lz7Vj1q2FqTmC1x7W48t27dYuXK\nlaxbt0419WDfvn0sWbKEbdu2YWRkBChL+cyaNYugoCBat27Nxo0bOXr0KI8fP8bDw0PVrvT0dKZP\nn87KlSsJDg6mZcuWBAYGlvscT58+jaurK5s2bWLMmDGkp6erHlMoFKSkpLB582ZCQkIoLCzk6tWr\ngPL9Yc2aNQQGBrJ27VoAbt68ycKFCwkKCqJz584cOnTo5f0yBKEUFVrO7uLiQo0aNVQfNteuXVP1\nBAjVQ+fOnYmKiqJ3797o6+sjSRJfffUVRkZGzJkzh9mzZyNJEpqamsybNw8rKyvatGlD7969sbe3\np06dOgDUrl2byMhINm/eXKHrnj17loEDB6KhoUFhYSFjxozB0dGRwsJCJkyYwJUrV9DW1qZOnTrF\napB5e3tz6NAh9u7dy1dffcX06dPZuHEjBQUFqm+rb7/9Nl999RWBgYGsWrWK/v37I5PJsLe3JyEh\nAXt7+5f+OgrqYWFhUdVNqBSRkZH8/fffDBw4EIDCwkIePlQWpmzUqBEAdnZ2pKWlAVCnTh309fUB\nZa9qXl4ekZGRXLx4UbXyzdzSmsFfTmL87MWE7D3Imd8P89FHykzBCxcuJCAggKSkJNq3bw9AdHQ0\nM2YoVyfl5+fj5OSEtrY20dHR5OfnM3z4cAoLCwkPD8fQ0FA1ZNyyZUuWLFmiOk+Rp79k9O7dm3Xr\n1jFs2DCMjIyKzd3T0NBALperemfj4uIoKCgAoGHDhqrnX/QFzcbGhrlz56Kvr098fHyx+pDCmyUn\nJ4dJkyaRlJSEgYEBCxYswNy8+LL/zZs3s3//fgDatWvH6NGjkSQJT09P6tatCyi/YEyYMKHMa5Ub\n+CxcuJDg4OBib1QymYzffvvteZ+XUMlGjhzJyJEjn9neqFEjtm7d+sz2WbNmlXiegwcPPrPN09Pz\nmSXo7u7upX5rr1+/fokryubPn6+6vWHDBtXtTZs2PbPv+PHjVW+qu3fvLvE61dXTE0kPHTrEypUr\nWbt2LTVqVKxI4cOHDwkPD6djx44Vvm5MTEyxSevV1eu6jN3R0REPDw9mzpxJYWEh33//vap4cUm9\npyVtc3R0pHnz5nTt2pXExER++ukn7PTgTHgUzVp3oEWbDqz8dgadO3fm8OHDLF26FEmS6NKlC15e\nXjg4OLBw4UJsbW25cOECjx8/BpTD1rq6uixatIjvv/+eRo0akZGRQUJCAtbW1pw/f17VG5yYqEwI\n+ODBg2fmdP7222+0aNGC0aNHs2/fPtavX68KxMLDwzly5AghISFkZ2fTq1cvVeBU0nOdPn06hw8f\nxtDQEH9/f9GT+wbbvn07zs7OjBkzhv3797Nq1SqmTZumevz+/fvs2bOHkJAQNDQ08PX1pVOnTujp\n6dG4cWNWr15d4WuVG/gcPHiQX3/9VUwkFYQXtG/fPjZu3MjmzZufqyjn2bNniY6Ofq7AR6ha77//\nPufPn6dfv35kZWXxwQcfqHp0KmrUqFFMnTqV7du3k5mZyZdffom1tTWXTv3Bvt07aNftY4aMn8qd\n5CwsLa3w8fFBV1eXDh06YGNjw8yZM5k4cSKFhYVoaGgwb948ateuzd69e/nll184evQoxsbG/PHH\nH3z22WeMGTMGmUyGiYkJ3377LcbGxhgZGeHt7Y2Tk5MqcCvSpEkT/P39CQwMRBpIhP4AACAASURB\nVKFQ8PXXX6uG8+rUqYOenh59+/YFwMrKqlhP79N69OhB//790dPTw9LSssx9hdfbpUuXVNNoPD09\nWbVqVbHHbW1tWb9+vaoWW0FBATo6Oly7do34+HgGDhyIrq4uX3/9NY6OjmVeq9Tq7EX69+9fYm9B\nZaiOVVwF4UUU9fi0a9eO4OBgNmzYgImJCREREcyZo0xiVjSZ9Pr166xbtw65XE5MTAxdu3ZlxIgR\ndOvWjZycHKZPn87mzZuZOXMmTk5ObN++nUePHjFmzBhWrVrFkSNHKCwsxNfXl3fffRc/Pz+2b9/O\n5MmTqV+/PiYmJty5cwd/f38KCwv56KOP2LVrFzo6OlX2+hQNpb5ppStelszsXG7EPiY7rwAHSyNq\niuKnQjVV0ud6SEgIW7ZsKbafhYUFM2bMwMnJCYVCQfv27Tl+/Pgz55MkiYCAADIzM5k1axYXLlzg\n0aNHfPjhh1y8eJFvv/223BGCcnt8PDw8CAgI4L333kNXV1e1XczxEYSyXbx4kfj4eFJTUyksLASU\nXfvz5s2jXr16hISEsH79elq3bs3Dhw/Zs2cPeXl5tG3blpEjRzJixAiio6N57733Spxzdf36dY4f\nP66aRLpkyRLatGlDQUEBEydOxM3Njf79+5ORkUGvXr2YOHEiJ06cwN3dvUqDHuHfM9DToYWDDbGP\n04lKSOPB40wa1jATxU+FV4K3tzfe3t7Fto0ePZrMzExAmTanpETJubm5TJkyBQMDA/7zn/8Ayh7I\nol4gNzc3EhISkCSpzC8C5QY+oaGhAMVm24s5PoJQPisrKzZt2kRISAiTJk1i3bp1REVFqVaz5efn\nqybkOTs7o6WlhZaWVrEvGCUp6qS9ffs2rq6uaGpqoqmpyeTJk4mJiSEiIgJDQ0OysrIAMDQ0pGXL\nlpw8eZLQ0FBGjRpVeU+6gry8vKq6Ca88mUxGDXNjbEwMiIx9zOU7j7A00sGlpgVa//sgEIRXRfPm\nzTl27Biurq4cP36cFi1aFHtckiRGjRqFu7t7sZxSK1euxNTUlOHDhxMeHo6dnV25vZ/lBj5Hjx59\nwachCG+2OnXqoKOjw4ABAzh58iSBgYE4ODiwYMECatSowaVLl1STSEv6Q30ytYC2tjaJiYk4OTlx\n/fp1bGxscHR0ZPv27SgUCgoLCxkxYgTTp0+ncePGrF27Fm9vb9q2bUvDhg3x8fFh3bp1PH78WLW6\npio9z1wnoWyampq41LLE3iKH6w8e88eNB9SzNhbFT4VXiq+vL/7+/vj6+iKXy1X55jZt2kTt2rVR\nKBScP3+evLw8Tpw4AYCfnx8jRoxg0qRJHDt2DE1NzQpl9S838MnKyiIgIIDjx49TUFBAmzZtmDp1\nKoaGhi/8BA8fPsyhQ4dKTKQnCK+jefPm8dFHHzF48GD8/f1VhWTnzp1b6oROZ2dnAgMDady4MYMG\nDeKbb76hRo0aWFtbA8o0E23btsXX1xeFQoGvry/a2toA6Orq8p///Ad/f39CQkJo2rQpd+/epX//\n/mp7zmU5ffo0AK1bt67ilrw+DPV0aelky8PkdG7EphDzOJNGNcwwq6bFT9etW8eWLVv47bff0NHR\nYeDAgap5bBX1IscI1ZOenl6J5V6GDBmiul2UE+ppRXmhKqrcwOfbb79VLcssLCxk27ZtzJ49mwUL\nFjzXhYrMmTOHkydPivTmwmvN3d0dd3d31X1zc3PVRL2hQ4tXcHZwcCi276lTpwBlGoJffvlFtb1d\nu3bPXOezzz7js88+K7ataCm7m5sbP//8M6BMLKevr19thpgiIyMBEfi8bDKZjJoWxtiaGhDx8DFn\nohKoaapHo5rmaMurV/HTPXv20LVrV/bv30+vXr2qujnCG6TczM1//vkn8+bNw8XFhSZNmjBnzhz+\n+uuvF75g8+bNmTlz5gsfLwjC87l//z7/93//R9euXf9VT+3L5OzsjLOzc1U347WlqalJI3tLPBvY\nkpNfyC9/PyAq7nG1yZNz7tw5ateuTd++fZ9ZNRwXF8fnn3/OkCFD8PLy4siRIwAsXbqUvn370rt3\n72e+4R89epSBAweSlpbG+fPnGTRoEAMHDqRXr17cvn1bbc9LeDWU2+NTWFiIQqFQpUhXKBSqGdRl\nKWm52rx58+jatSvnzp17weYKgvC87O3tVT0/ZXl66OFJL6MQ55NET496GOnp4l7PjgfJaVyNSeFO\nUgautcywNK7a4qchISF4e3vj6OiItrY2f/75p+qx6OhohgwZgru7O5cvX2bFihV06tSJvXv38sMP\nP2Btba1adAPKqRMXLlxgzZo16Ovrq8pg2NjYsHr1ag4dOlRiYlfhzVWh5ezjxo3D19cXUGZXfOed\nd8o9cUnL1QRBqL7UOfTw6NEj4PWc5Py8c1c6duzIwYMHKy3FgEwmo5aFCXamhoQ/TOaPiHgcLA1o\nXNMCPR31D3+lpqZy/PhxkpOTCQoKIiMjg+DgYNXjVlZWBAYGsmvXLmQymarkxcKFC1m8eDGPHj2i\nbdu2qv3PnDlDRkaGquixKIMhlKfcwGfy5MkEBgayZMkSFAqFKseIIAivjyeHHiZNmkSvXr0YOHAg\n5ubmpKam0q1bNwCSk5MZNWoUY8eO5a233mLq1Kmkp6eTkJBAv3796NevHwMHDqRhw4bcvHmTjIwM\nli1bhqWlJWPHjiUjI4Ps7GwaN26Mo6MjWlpaz1TyfvDgwTPVv+3s7Kr4Faq46jp3RVNTk8b2Vthb\nGPF3TDL7/rpH05qm1LM1U/Xoq8OePXv4+OOP8ff3ByA7O5v33nsPMzMzAJYtW4a3tzft2rVj9+7d\n/PTTT+Tl5XHo0CGWLFkCQNeuXVX/J2fMmMGePXtYvnw5EydOFGUwhHJVqEhpnTp1CAkJITExkf37\n9yOvZpPkBEH4d0obevDy8uL9998nNDSUpKQkRo4cyZQpU2jatCnXrl2jW7dudO7cWZUyvl+/fgC4\nuroydepUli5dyv79++nQoQMpKSmsX7+epKQk1q1bhyRJqkreGhoafPrpp1y9epXw8HBcXV2ZNGkS\nFy9eJD09/ZUJfEoKIIvExcUxc+ZMcnNzSUxMZNy4cXTq1AlQfng/ePAACwsLFixYQEFBQalBZYMG\nDbh58yb6+vq4ublx8uRJ0tLS2LhxI5qamiUe9yRjfV086tsRk5RG2P3HRD3K4G17c2xMDdUy/BUS\nEkJAQIDqvp6eHp07d2bXrl0AdOnShYCAANauXYutrS2PHz9GW1sbExMTVXmONm3aFKt598UXX+Dt\n7U379u1FGQyhXOUGPjNnziQrK4sePXqgoaHBpUuXiImJKVY87Hk9veJFEISqU9bQg4ODg2q/EydO\nYGVlpcotZGlpyZYtW/j1118xNDRUDUnAP5XIbW1tefToEfXr16dPnz74+flRUFDAwIED6dChA2vW\nrHmmkndZ1b+ruxeZuwLKHCbNmjUjICCAnTt30qJFizKDymnTpvHpp5+iq6vLpk2b8Pf358KFC9jZ\n2ZV63JNkMhn2libUMFMOf/1yI46G1oY0qWmOgV7lZvUuqXjxzJkzVYtenJycSlx9OHr0aEaPHl1s\nW1BQkOp20Tw2Nze3l9ha4XVUbuBz5coV9u3bByhraSxbtoyePXtWesMEQVCPsoYenuwB+Oijj+jZ\nsyfjxo0jJCSEjRs30qxZM/r168fZs2c5duxYqdeIiIggMzOTtWvXkpCQQN++fbGzsyuxkndJ1b8r\nkpSsqr3o3BW5XE6zZs0A5arXU6dO8cEHH5QaVBaVCzI2NqZevXqq27m5uWUGoyUpGv6qZW7I1Zhk\ndl2+xzt1zHC2M6vQIhZBeBWVG/jk5+eTl5enSoxW3h+SIAivlvKGHp5Uv359evTowbfffku3bt2Y\nM2cOBw4cwMjICE1NTfLy8kq8Rt26dfn+++85ePAgCoUCT09Prl27VmIl72bNmj1T/ftV8CJzV0D5\nHnvjxg1cXFy4ePEi9evXf66g8kkvepyJgR5tnGtQxyKNC3eSiUhIx62OOTXNRfFT4fVTbuDTvn17\nPv30U3r27IlMJmPfvn0lJlITBOHVVN7QA1BsrsqTCROLeoOf9OTwQ9FqUKBYVtbNmzeTnp7ODz/8\nUGKbtm/fXrHGVyMvMncFlD0+QUFB3L17lxo1ajBhwgQuXbpU4aDySR06dCjxuKIvrmUpGv6yMzMk\n/EEy+/+OpYltJm/Zm2OsX3b9OEF4lcikcqa8FxYWsnXrVs6cOYOWlhYeHh707du3UlYBlFS+XhCE\n109ERAQADRo0qOKWCKVJzczmz/vJ/B2bTlsnc1H8VHgh1fFzvdweH01NTXx8fHB3d6d+/frk5eWp\ndemjIAivHxHwVF/3799n4cKFxMXFYWBgwLudu/GXzltci03Hw9GC2pYvp/hpaGgoJiYmvPfeey+h\n1YJQceVGMFeuXKFTp0589tlnJCQk0K5dOy5fvqyOtgmC8JqKiIhQ9foI1Ud2djYjR45kyJAh7Ny5\nk02bNtGysTNnd3xPYzsj/vvnQ/4If8Dj9Kx/nR+nV69eIugRqkS5PT4BAQFs3ryZiRMnYmtrS0BA\nAHPnzmX37t3qaJ8gCK+hM2fOAKLnp7r5/fffadWqFW+//bZqm6urK8uXLSMuLo7sK7/wQNGKUzfj\n6dzQmmYOtgQHBbF//360tLRwc3Nj0qRJrFixgrCwMLKyspg7dy6HDh3iyJEjmJubk52dzdixYzl/\n/jyWlpb4+PgwY8YM4uLiSEhIoGPHjq9UCgPh1VNu4JOTk6NaMgnKCtFLly6t1EYJgvB6s7CwqOom\nCCWIiYmhdu3aqvsjR44kIyODhIQEbG1tGTp0KJ6erTh3NYKL0Qn8FZuBQseY7du3I5fLGTNmDL//\n/jsAjo6OTJs2jfDwcE6cOMGuXbvIz8+ne/fuxa4ZGxtLs2bN8Pb2Jjc3F09PTxH4CJWq3MBHS0uL\n1NRU1ZhudHR0pTdKEITX29MffkL1YGtry99//626HxgYCICPjw9XrlxhzZo1rF+/HkmSsLKyosfA\nEZw0cuT3iDia17bAzc2NmzdvAv8kv4yKiuKtt95CU1MTTU1NmjRpUuyapqamXL16lbNnz2JoaFih\n1WuC8G+UO8dn5MiRDBgwgLi4OPz8/PD19RW1ugRBEF5D7733HmfOnOHKlSuqbXfv3iUuLg5XV1cm\nTpxIUFAQ33zzDe7u7tQw0KDw6i9oa8pYdTwK/ZrONGiozNpdtAimXr16XL16FYVCQV5eHtevXy92\nzdDQUIyMjFi8eDFDhw4lJydH1NcSKlW5PT4dOnTA0dGRU6dOoVAoGDVqVLGhr9fJgAED+OKLL/Dw\n8FBtmzNnDg0aNFB7pfng4GAGDBig1msKgrps3rwZgMGDB1dpO4TiDAwMCAwMZPHixSxatIiCggI0\nNTX5+uuvadKkiarWWE5ODlOnTqVBgwbUqWHL2tlf0faD7iTaNeSRQh+HJm5kP4oBlPO42rVrh4+P\nD2ZmZsjlclUldQAPDw8mTJjAlStX0NbWpk6dOiQkJGBjY1NVL4PwupPKoFAopPz8fEmSJCk9PV36\n5ZdfpNu3b5d1yL9y4MABydnZWTpw4EClXaMs//3vfyV/f3/V/dzcXKljx45SZmam2tvSunXrYvcH\nDRok/fnnn6p2NW/eXFq3bp3q8QEDBkjXr19/rmsEBQUVu5+eni55eHhIGRkZxbb37NlTun37tvTF\nF19U+Nxz5syRHjx4UOrj48aNk3Jzc5+rvcLrY9OmTdKmTZuquhnCS5aXny9duRMvfbP3T2lP2G0p\nNjlNevTokRQcHCxJkvK9q1OnTmW+Nwivl6r+XC9JqT0+t27dYsSIEUyfPh0PDw+8vb2RyWTk5OQw\ne/Zs2rRpo874TC26dOnC0qVLyc7ORk9Pj99++402bdpw//595syZAyjHo+fNm8f169dZtGgRcrkc\nHx8fNmzYgJubGxERETg6OmJhYcHFixfR1tZm7dq1ZGdnM2nSJDIyMigsLGTs2LF4eHjQvXt33nnn\nHSIiIpDJZKxatYrg4GBSU1OLZc9t06YNFy9exNXVlUuXLvHuu+9y7Ngxhg0bRm5uLg8ePKBhw4bP\n9XwDAwOL9SoZGhrSoUMHfvnlF1Wm3r///htjY2Pq1q3LypUrK3zuqVOnlvm4mCD/ZiupCKXw6pNr\nadG0jjW1zQ25cj+ZJb/f4mNXWxIeJfPxxx8jk8nw9vYuVlldENSt1Dk+AQEBjBs3jg4dOrB//34k\nSWLfvn1s3bqVFStWqLONaqOjo0OnTp04fPgwoBx77tu3L9OnT+c///kPQUFBeHp6sn79egByc3PZ\ntm0bH330EZmZmXh5ebFt2zYuXrxI8+bN2bp1K/n5+dy6dYvAwEBat27N1q1bWbZsGVOnTkWSJDIz\nM+nWrRvBwcFYW1tz/PhxRo4ciYmJSbGSAa1bt+bixYsAHDt2DG9vb9LT00lPTycsLIx33nkHmUzG\n+fPn8fX1ZcCAAXz99dfk5+dz+/Zt+vbty4ABA+jXrx+xsbEEBgaqgqsn+fj48N///ld1f/fu3fTp\n0wdAFewOHDiQsWPHMnjwYLKysvjyyy/p27cv48eP591331XtExUVxYoVK/D392fYsGF07dqVEydO\nANCxY0dyc3OJjIxk6NChfPLJJ/To0UPkiHpDWFpaYmlpWdXNECqJmZE+7V1qMupdB67HpaNo1JE5\ny9bw448/MmLEiKpunvCGK7XHJzY2lh49egBw7tw5OnXqhIaGBnZ2dmRkZKitgerm7e1NQEAA7u7u\npKWl0ahRI6Kiovjmm28AZUHBunXrAv+sWijyZNVkJycn1e3c3FyioqJUK1lsbGwwNDQkKSkJgEaN\nlJMB7ezsyM3NLbFdjRo1Ijo6GkmSuHDhAn5+fnh4eHD69GkiIiJo27YtkiQxffp0tm3bhoWFBd99\n9x0//fQT+fn5uLq6MmnSJC5evEh6ejojR44kODj4mcCnadOmpKamEhsbi4WFBadPny6xSKSXlxfv\nv/8+W7ZsoVatWixfvpyoqKgSv8lra2uzfv16Tp06xcaNG2nbtq3qsVu3buHv70+DBg3Yu3cvoaGh\nNG/evMzfkfDqO336NKAM6IXXk0wmo661KQPMDLn+IJngizG8XTMND0dLapgbieKnQpUpNfB5sixF\nWFgY06ZNU90v7cP5ddCgQQMyMzP54Ycf+PjjjwFlgLNgwQJq1KjBpUuXSExMBHimdEdZf8hOTk5c\nvHiRRo0aER8fT1paGqampqUeJz21qkFDQ4OGDRty/PhxrKys0NbWxtPTkz/++IPw8HAGDRpEcnIy\nCQkJjBs3DlDmYGrdujWjRo1i3bp1DBs2DCMjo3JzZPTu3Zs9e/ZQq1YtOnbsWGKBwyeXqnp6eqqe\no7m5+TP7uri4AMqlsk8vVbW2tmbVqlXo6uqSmZmJoaFhmW0TXg+RkZGACHzeBHK5Fq51rLC3MCTs\nXhLzj0TSt1kNUfxUqDKlDnWZmJgQHh7OxYsXSUxMpGXLlgBcvnz5tZ9t//HHHxMSEkK3bt0AZaVq\nf39/fH19Wbx48Qtlm/3ss884e/Ys/fv3Z9SoUcyaNavYyoanOTk5MXHixGLb2rRpw5o1a1Q9Ji1a\ntOD69esoFApMTU0xMzPD1taWVatWERQUxOeff06rVq347bffaNGiBVu2bKFLly6qobqng6siPXr0\n4PDhw+zdu1c1zPW0omDN2dmZsLAwAO7du6eqOF3SviWZO3cuX375JQsWLMDZ2VksY31DODs74+zs\nXNXNENREJpNhbqRPx0a18GvvxI2EDL47epO/7yVSUFhY1c0T3jClfvL6+fkxePBgMjIymDhxIvr6\n+mzYsIHVq1fz/fffq7ONauft7V1s+XqTJk0ICgoqto+DgwPu7u6q+0ePHlXd3rlzp+r2qlWrSrxd\n0nFPBjpPXw+U346nTZtGQEAAoBxCMjIyUvWoaGhoMHXqVEaMGIEkSRgYGBAQEEBmZib+/v4EBgai\nUChUQ1dFwdWiRYuKXcfExARHR0cePXqkGtYrTe/evZk8eTL9+/enRo0a6OjolLn/03r06MHYsWMx\nNjbG1ta2xMBJeP2Inp43k0wmw8HGjEHmyuGvHy7G4PogFc96VthbGovhL0EtZFIZX7Hz8vLIycnB\n2NgYUPb2mJubl/th+KKqY/l6oWyXL18mKyuLd999lzt37jBs2DCOHDlS1c0SqrlHjx4BiAnObzBJ\nkkjOyCbsXhI7wmIZ0KIGTWuZY2akX9VNE16i6vi5XmYCQ21t7WLzO8SkU+Fp9vb2+Pn5sXLlSgoK\nCpgxY0ZVN0l4Bezbtw8QCQzfZDKZDAsjfd5rpIejpSFHwhM4FJ5I37drYmOiS2JaNk3srZ6ZS1lM\n/B/wWwdovR3q9v1n+wFXMGsOHpufr1En+0L9z8Gm/Qs8I+FVUW7mZkEoi5WVVYnDcoIgCBUhk8lw\ntDHjE3NDrscks+7sPVKy83mYlsfSntC0jnXZQ2DGDeHejn8Cn5SrUJCpnsYLryQR+AiCoHaip0d4\nmo5cjq2pPnXM9Dh/Pw2AaQcjWdRdkwY1LUoPfkybQnoE5KWCtgncDoa6/SHzHoTaQq845X5FvTmZ\ndyBqI6CAt76BtHCIWg+6dpCboNxXkQ/nP4f0m8r9XOcoe4H2NwEjZ9DQhnd3VPIrIlSWcouUCoIg\nCII6WBnp0c+tFqs+bsyU9xypZ2nAkmO3uZOQWvaB9h/D/VCQJEg6D5blTJ7XNoP3T4JJE4hYBp3P\nQrufQfG/dBtR60HHEt4/Dp4/w8UvlNsLMqDJdBH0vOJEj48gCGq3d+9eAFVST0EA0NLSopaFCbUs\nTHCTJD5sXIMHjzPJy88nKycXfd1SVo3W7QfnR4KhI1i3LXkfnljHY/y/lCQZUWDSGDT/d16Ld5T/\nplyFhBOQdE55X1EAOY+KHyu8skTgIwiC2hVlLReE0shkMnR1tHGyfTaB6jMMHaEwEyKXQ9NvISNa\nuV2RD/kZyqGp1GtPnPx/gx1G9ZXbC7KV+ySHQd0BynlD+rWg8RTlY9fmgo558WOFV5YIfARBUDsP\nD4+qboLwuqndB24HgbHzP4FPg3HwaytlYGRQ59ljdK2g0WQ43Bp0rEDLQLm93mdwbjgcaQf5aVB/\nlAh4XiMi8BEEQe1eJPu5IDzDpv0/S88bjFH+ANToovwBeGt62edwGqr8eVrrH57d1vPOCzZUqE5E\nCCsIgtpFREQQERFR1c0QBOENJHp8BEFQuzNnzgCi50cQBPUTgY8gCGpnYWFR1U0QBOENJQIfQRDU\nTixjFwShqog5PoIgCIIgvDFE4CMIgtpt3ryZzZs3V3UzBEF4A4mhLkEQBEEQqlROTg6TJk0iKSkJ\nAwMDFixYgLm5ebF95syZw+XLlzEwUOZbWrVqFXK5vNzjniZ6fARBUDsvLy+8vLyquhmCIFQT27dv\nx9nZmW3btvHRRx+xatWqZ/a5du0a69evJygoiKCgIIyMjCp03NNE4CMIgtpZWlpiaWlZ1c0QBKGa\nuHTpEm3bKuuseXp6qlJeFFEoFNy9e5cZM2bQt29fdu3aVaHjSiKGugRBULvTp08D0Lp1OVW0BUF4\n7YSEhLBly5Zi2ywsLDAyMgLAwMCA9PT0Yo9nZWUxYMAAhgwZQmFhIYMGDaJJkyZkZGSUeVxJROAj\nCILaRUZGAiLwEYQ3kbe3N97e3sW2jR49mszMTAAyMzMxNjYu9rienh6DBg1CT08PgFatWhEeHo6h\noWGZx5VEDHUJgqB2zs7OODs7V3UzBEGoJpo3b86xY8cAOH78OC1atCj2+J07d/D19aWwsJD8/Hwu\nX75M48aNyz2uJKLHRxAEtXvTe3rWrl3L6dOnKSgoQCaT4e/vT5MmTZ7rHCkpKZw4cYLu3bszefJk\nunbtiqenZ6n737x5k4ULF5KdnU1WVhbt2rVjzJgxyGSyF34eRdcFiI2NpU+fPi98LuHN5uvri7+/\nP76+vsjlchYvXgzApk2bqF27Nu+99x49e/bEx8cHuVxOz549qV+/PrVq1SrxuLKIwEcQBLV79OgR\nwBs5wfnWrVscPXqU7du3I5PJuHHjBv7+/uzZs+e5zhMREcHRo0crlAU7LS0NPz8/VqxYQd26dSks\nLGTs2LHs2LEDX1/fF30qKmUFXIJQEXp6eixfvvyZ7UOGDFHdHjZsGMOGDavQcWURgY8gCGq3b98+\nAAYPHly1DakCRkZGPHz4kF27duHp6YmLi4tqhcr169eZPXs2mpqa6OjoMHv2bBQKBX5+fuzcuRMA\nHx8flixZwurVqwkPD+fHH38E4Mcff2T9+vVkZGQwc+ZMXF1dVdf87bffcHd3p27dugBoamqyYMEC\n5HI5hYWFzJgxg7i4OBISEujYsSPjx49n8uTJpKSkkJKSwpo1awgMDOTSpUuAMh3BJ598ojp/aGgo\n0dHR9O3blwkTJmBra8v9+/d56623+Oabb4iLi2PmzJnk5uaSmJjIuHHj6NSpkzpebkF4hpjjIwiC\noEY2NjYEBgZy+fJl+vTpQ5cuXfj9998BmDZtGjNmzCA4OBhfX1/mz59f6nk+//xzWrVqpRpeaty4\nMT/88AMDBgwgNDS02L4JCQnY29sX22ZgYIC2tjaxsbE0a9aMDRs2sGvXLnbs2KHap1WrVuzYsYPL\nly8TExPDzp072bZtG/v27SMiIqLEdt25c4e5c+cSEhLC8ePHSUxMJDo6miFDhrBp0yZmzZrF1q1b\nX+i1E4SXQfT4CIKgdm9iT0+Ru3fvYmhoyLfffgvA1atXGT58OO7u7iQkJODi4gJAy5YtS5yvIElS\niedt3LgxoBw+zMnJKfZYjRo1uH79erFt9+/fJy4uDhcXF65evcrZs2cxNDQkLy9PtY+DgwMAUVFR\nuLm5IZPJkMvlNG3alKioqBLbUbt2bQwNDQGwsrIiNzcXKysrAgMD2bVrJGrxlgAAHTpJREFUFzKZ\njIKCgnJfJ0GoLKLHRxAEQY0iIiKYNWuWKsBwcHDA2NgYTU1NrK2tCQ8PB+DChQvUrVsXHR0dkpKS\nKCwsJC0tjZiYGAA0NDRQKBSq85Y1SblDhw6cOHGCe/fuAZCfn8/8+fOJjIwkNDQUIyMjFi9ezNCh\nQ8nJyVEFV0XndHJyUg1z5efnExYWRp06dUq8VkntWLZsGT179mThwoW4u7uXGrwJgjqIHh9BENRu\n7969ABWamPu66dy5M1FRUfTu3Rt9fX0kSeKrr77CyMiIOXPmMHv2bCRJQlNTk3nz5mFlZUWbNm3o\n3bs39vb2qoCjdu3aREZGVqjYq6GhIfPnz2fatGlIkkRmZiYdOnSgX79+3Lp1iwkTJnDlyhW0tbWp\nU6cOCQkJxY7v0KED58+fp0+fPuTn59OlSxdVD1NFdOnShYCAANauXYutrS2PHz9+rtdMEF4mmaTG\n0Ds9PZ1JkyaRkZFBfn4+kydP5u2331Y9fvDgQcaNG8d3333Hhx9+qK5mCYKgZkUf1m/ykJcgvAmq\n4+e6Wnt8Nm3aRKtWrRg8eDDR0dFMmDCBn376SZ1NEAShGvDw8KjqJgiC8IZSa+AzePBgtLW1ASgs\nLERHR0edlxcEoZpo0KBBVTdBEIQ3VKUFPiUVIZs3bx6urq4kJiYyadIkpkyZUlmXFwShGitaCi0C\nIEEQ1K3SAp+SipCB8g3Pz8+Pr776infeeaeyLi8IQjV25swZQAQ+giCon1qHum7dusXYsWP57rvv\naNiwoTovLQhCNWJhYVHVTRAE4Q2l1sBn8eLF5OXlMXfuXEC5xDIwMFCdTRAEoRp4E5exC4JQPag1\n8BFBjiAIgiAIVUlkbhYEQe02b95cocR7giAIL5sIfARBEF7QuXPnaNGiBbGxsaptixYteqZIaFl+\n/PFH8vPzOXfuHOPHjy9z39zcXBYsWEC/fv3o378/w4cPL3btF/HkdUePHv2vziUIrwIR+AiCoHZe\nXl54eXlVdTNeCm1tbb7++usXrj+1Zs2aYjW3yjJ37lxsbGzYtm0bW7duxcfHh3Hjxr3QdUuycuXK\nl3YuQaiuRK0uQRDUztLSsqqb8NK0atUKhULB1q1bGTBgQLHHNm7cyP79+9HS0sLNzY1JkyaxYsUK\nwsLCyMrKonv37iQmJjJ+/Hg++eQT7t69y7Bhw0hOTqZDhw6MGTNGda68vDyOHj3KN998o9r2/vvv\n4+bmBsChQ4fYunUrBQUFyGQyVq5cyc2bN1m0aBFyuRwfHx+srKz47rvv0NHRwdTUlHnz5hVrb5s2\nbTh16hQDBw6kYcOG3Lx5k4yMDJYtW0bNmjVZvHgxf//9NykpKTRs2FBVYV4QXiWix0cQBLU7ffo0\np0+frupmvDQzZ85k8+bN3L17V7UtIiKCgwcPsmPHDnbs2MHdu3f5/fffAXB0dGTHjh30798fKysr\nli5dCiiHslatWsXWrVsJDg4udo2UlBQsLS2fqX5uZmYGwJ07d1i7di3bt2+nXr16nDx5UnXObdu2\n0bNnT6ZPn87KlSsJDg6mZcuWZS44cXV1ZfPmzbRp04b9+/eTkZGBsbExmzZtYvfu3Vy5coX4+Ph/\n/+IJgpqJwEcQBLWLjIwkMjKyqpvx0piZmTFlyhT8/f1Vw1bR0dE0bdoUuVyOTCbDzc2Nm//f3p3H\nVVXnfxx/XTYzwCUc0Udp4iQ0LqDoVJpiKpNpkqaDAmqhpj2axkKJ0CSXVNByd1yISTFyVwYFdNKa\nzMdD3HLJLIUsm0wdELNkERHu/f3hw/uTXNDKc27d9/Mv7zn3nO/7HpX74fv9nu/58ksA/Pz8rnue\nZs2a4eHhQc2aNXFzq9ohX7duXc6fP3/NkNrGjRu5dOkSPj4+xMfHM3bsWHJzc6moqKjS1rlz5/Dy\n8sLX1xeAP//5z/Y819O8eXMAGjRowMWLF6lRowbff/89o0ePZvz48ZSWlnLp0qXbvVQiplPhIyKG\n8/f3x9/f3+wYv6quXbvi5+dnf/By06ZNOXToEBUVFdhsNvbu3WsvQlxc/v9Hr8VisRdLP+3NuZq7\nuzsdO3YkLS3Nvm3z5s28++67lJWVMW/ePGbPns2UKVOoUaOGvUC60lbdunUpLi6moKAAgD179tCk\nSZNb/nzbt2/n9OnTzJo1i9GjR1NWVvaz5zWJmElzfETEcB06dDA7wh0xbtw4du3aBVx+HEePHj2I\njIzEarXStm1bQkNDOXr0aJVj2rVrx4gRI3jxxRerPf/YsWNJSkoiIiICgNq1azN//ny8vLwIDg5m\nwIABuLm5UatWLQoKCrjvvvvsx1osFqZMmcLIkSOxWCzUrl2bpKSkm/b6XC0wMJCFCxcycOBALBYL\njRo1oqCggEaNGt3q5RFxCBabA5XsmzdvJiYmhjlz5tCjRw+z44jIHVJYWAj8viY5i8i1HPF7XUNd\nImK4rKwssrKyzI4hIk5IhY+IyM+we/duAgICyM7OrrI9LCyMMWPG3PZigOnp6Xz44Ye3dczPWXBw\n6tSpnDp16raPE/m90BwfETFcdHS02RF+FU2bNiU7O5snn3wSuHwL+4ULF4DbXwywb9++t93+z1lw\ncNy4cbd9jMjviQofEZGf6cEHH+T48eMUFRXh7e3Nxo0bCQsL4/Tp0/bFAJcvX05GRgYuLi60atWK\nhIQEtmzZQkpKCm5ubtSvX5/Zs2ezYMEC6tWrR/fu3YmJicFms3Hx4kUmTZpE06ZNefnllykuLubC\nhQuMGjWKjh07Vllw0M/Pj+PHj2Oz2Zg9ezZff/01ixcvxsXFhTNnzjBgwAAGDhzI4MGDmThxIn/8\n4x/NvnwiptBQl4gYLjMzk8zMTLNj/Coef/xxtmzZgs1m49ChQ7Rp06bK/vT0dF5//XVWr15N06ZN\nqaioICsri2HDhrFy5Uq6dOlCcXGx/f2HDh2iTp06pKSk2NfL+fbbb/nhhx9YvHgxs2bNorKy8poc\nwcHBpKWl0aNHD5KTkwHIz89n0aJFrFmzhtTUVM6ePXtnL4bIb4AKHxEx3NmzZ383X8JhYWFs2rSJ\nvXv32h8fcbWkpCRWrFjBoEGDOHXqFDabjbFjx7Jr1y4GDRrE/v37q6zrExISQnBwMH/729+YN28e\nLi4uNGvWjAEDBjB69GgmTZp03Wd7PfLII8DlAuj48eMAtGnTBg8PD+666y6aNWvGt99+e4eugshv\nh4a6RMRw7du3NzvCr6ZRo0aUlpaSlpbG6NGjOXHiRJX9a9asYdKkSdSoUYNhw4Zx4MABcnJyGDly\nJD4+PowfP56tW7fa3797927q16/PkiVLOHDgALNmzSIhIYGSkhLefvttCgoKiIiIoEuXLlXaOXz4\nMA0aNGD//v088MADABw5coTKykrKy8s5duwY999//52/ICIOToWPiBguICDA7Ai/qp49e7Jhwwb8\n/PyuKXwCAgKIiorC09MTX19fgoKCKC4u5vnnn8fT05O7776bxx57zP5srgcffJDRo0ezcuVKKioq\nePHFF2nSpAkLFixg8+bNWK1WXnrppWsy/Otf/yI1NZWaNWvy5ptvkpeXR0VFBcOHD+eHH37ghRde\n4J577jHkeog4Mi1gKCKGy83NBX5/BZBZrjdheffu3axatcr+AFQRMzji97p6fETEcDt37gRU+IiI\n8VT4iIjhfHx8zI7wu3L1g0uvePjhh3n44YdNSCPi2FT4iIjhwsLCzI4gIk5Kt7OLiIiI01DhIyKG\nS01NJTU11ewYIuKEVPiIiIiI09AcHxExXK9evcyOICJOSoWPiBiuXr16ZkcQESelwkdEDJeTkwNA\nhw4dTE4iIo6grKyMuLg4zp49i6enJ9OnT6+y0viRI0dITEy0vz548CALFiygU6dOhISE0KRJEwBa\nt25NbGzsTdtS4SMihsvLywNU+IjIZStXrsTf35+RI0eSnZ3NwoULSUhIsO//05/+ZF+vavPmzdSv\nX5+QkBD++9//0qJFCxYvXnzLbWlys4gYzt/fH39/f7NjiIiD2LdvH506dQIgJCTEvrr7T5WWljJ/\n/nzGjRsHwOeff05+fj6DBw9m+PDhfP3119W2pR4fETGcenpEnNfatWtZtmxZlW0+Pj54e3sD4Onp\nSVFR0XWPXbduHU888YR9GOwPf/gDI0aMoEePHnzyySfExcWxfv36m7avwkdEDFdYWAhokrOIMwoP\nDyc8PLzKtr///e+UlJQAUFJSQq1ata57bGZmJvPmzbO/btmyJa6urgC0a9eOgoICbDYbFovlhu1r\nqEtEDJeVlUVWVpbZMUTEQQQHB/Pxxx8DsH37dtq2bXvNe4qKiigvL6dhw4b2bf/4xz/svUdHjx6l\nYcOGNy16QD0+IiIiYrLIyEji4+OJjIzE3d2dmTNnArB06VIaN25Mt27dOH78OPfee2+V40aMGEFc\nXBwff/wxrq6uJCUlVduWCh8RMVx0dLTZEUTEgdSsWbPKENYVQ4YMsf85MDCQhQsXVtlfu3Zt3n77\n7dtqS0NdIiIi4jRU+IiI4TIzM8nMzDQ7hog4IQ11iYjhzp49a3YEEXFSKnxExHDt27c3O4KIOCkV\nPiJiuICAALMjiIiT0hwfETFcbm4uubm5ZscQESekHh8RMdyV5/Co50dEjKbCR0QM5+PjY3YEEXFS\nKnxExHBhYWFmRxARJ6U5PiIiIuI0VPiIiOFSU1NJTU01O4aIOCEVPiIiIuI0NMdHRAzXq1cvsyOI\niJMytPApLS0lNjaW8+fP4+7uzvTp0/H19TUygog4gHr16pkdQUSclKFDXWvWrKFFixYsX76cp556\nipSUFCObFxEHkZOTQ05OjtkxRMQJGdrjEx0dTWVlJQCnTp2iVq1aRjYvIg4iLy8PgA4dOpicRESc\nzR0rfNauXcuyZcuqbEtMTCQwMJBnnnmGvLw8li5deqeaFxEH5u/vb3YEEXFSd6zwCQ8PJzw8/Lr7\n3n33Xb766iuef/55PvjggzsVQUQclHp6RMQshs7xSU5OJiMjAwBPT09cXV2NbF5EHERhYSGFhYVm\nxxARJ2ToHJ9+/foRHx/P+vXrqaysJDEx0cjmRcRBZGVlAZfn/YmIGMnQwqdevXq88847RjYpIiIi\nYqcFDEXEcOrpERGz6JEVIiIi4jRU+IiI4TIzM8nMzDQ7hog4IQ11iYjhzp49a3YEEXFSKnxExHDt\n27c3O4KIOCkVPiJiuICAALMjiIiT0hwfETFcbm4uubm5ZscQESekHh8RMdzOnTsB9fyIiPFU+IiI\n4Xx8fMyOICJOSoWPiBguLCzM7Agi4qQ0x0dERESchgofETFcamoqqampZscQESekwkdERESchub4\niIjhevXqZXYEEXFSKnxExHD16tUzO4KIOCkNdYmI4XJycsjJyTE7hog4IRU+ImK4vLw88vLyzI4h\nIk5IQ10iYjh/f3+zI4iIk1LhIyKG69Chg9kRRMRJaahLRAxXWFhIYWGh2TFExMFs3bqV2NjY6+5b\ns2YNffv2pX///nz00UcAlJWVMXLkSKKiohg+fDjff/99tW2o8BERw2VlZZGVlWV2DBFxIFOmTGHm\nzJlYrdZr9p05c4a0tDRWrVrFO++8w6xZsygvL2flypX4+/uzYsUK+vTpw8KFC6ttx6GGusrKygA4\ncOCAyUlE5E764osvANi8ebPJSUTkTrryfX7l+/1mgoODCQ0NZfXq1dfsO3ToEG3atMHDwwMPDw8a\nN27M0aNH2bdvH8899xwAISEhv73C58iRIwAsW7aMZcuWmZxGRO60DRs2mB1BRAxw5MgRnn76aQDW\nrl17zXd8YmIiPXv2ZPfu3dc9vri4GG9vb/trT09PiouLq2z39PSkqKio2iwOVfgMHToUgObNm1Oj\nRg2T04iIiMgvcfHiRb744gv79ztAeHg44eHht3UeLy8vSkpK7K9LSkrw9vausr2kpIRatWpVey6H\nKnwaNGjAa6+9ZnYMERER+ZX06dPnF58jMDCQOXPmcPHiRcrLy/nqq6/w9/cnODiYjz/+mMDAQLZv\n307btm2rPZdDFT4iIiIiVyxdupTGjRvTrVs3Bg8eTFRUFDabjVGjRlGjRg0iIyOJj48nMjISd3d3\nZs6cWe05LTabzWZA9t+s0tJSYmNjOX/+PO7u7kyfPh1fX1+zYzmMoqIi4uLiKC4u5tKlS4wZM4Y2\nbdqYHcuhbN26lX//+9+39B/SGVitViZOnEhubi4eHh5MmTKF+++/3+xYDuXTTz9lxowZpKWlmR3F\noVy6dInXXnuNkydPUl5ezgsvvEC3bt3MjuUwKisrSUhI4Pjx41gsFiZNmqTFQq9Dt7NXY82aNbRo\n0YLly5fz1FNPkZKSYnYkh7J06VIeeeQR3nvvPZKSknjjjTfMjuRQbnZ7prP64IMPKC8vZ/Xq1cTG\nxjJt2jSzIzmUlJQUEhISuHjxotlRHM7GjRupU6cOK1as4J///CeTJ082O5JDubK2zapVq4iJiWH2\n7NkmJ3JMGuqqRnR0NJWVlQCcOnXqliZOOZPo6Gg8PDyAy79taFJ6VTe7PdNZ7du3j06dOgHQunVr\nDh8+bHIix9K4cWPmz5/Pq6++anYUh/PEE0/QvXt3AGw2G66uriYnciyhoaE89thjgL6vbkaFz1Vu\ndItdYGAgzzzzDHl5eSxdutSkdOa72fU5c+YMcXFxTjs5/efcnumsiouL8fLysr92dXWloqICNzf9\nOALo3r073333ndkxHJKnpydw+d/QSy+9RExMjMmJHI+bmxvx8fFs3bqVefPmmR3HMdnklh07dszW\nrVs3s2M4nKNHj9p69uxp27Ztm9lRHNKuXbtsMTExZsdwGImJibbs7Gz7606dOpmYxjGdOHHCFh4e\nbnYMh3Tq1Cnb008/bVu7dq3ZURxaQUGB7bHHHrOVlJSYHcXhaI5PNZKTk8nIyAAu/7ahrtWqjh07\nxssvv8zMmTPp3Lmz2XHkNyA4OJjt27cDcPDgQU2+lFtWWFjI0KFDiYuL469//avZcRxORkYGycnJ\nANSsWROLxYKLi77mf0p9y9Xo168f8fHxrF+/nsrKShITE82O5FBmzpxJeXk5U6dOBS4vMrVo0SKT\nU4kj+8tf/sKOHTuIiIjAZrPp/5TcssWLF3P+/HkWLlxofzRBSkoKd911l8nJHMPjjz/O2LFjGThw\nIBUVFbz22mu6Nteh29lFRETEaagPTERERJyGCh8RERFxGip8RERExGmo8BERERGnocJHREREnIZu\nZxcxUEBAAP7+/lXW1mjZsiVTp06ld+/epKWl3fIy80VFRbz44ou8++671+ybP38+y5cvx9fXF4vF\nQmVlJT4+PkyYMAE/P79r3j9u3DiefPJJOnTocNufaeXKlRQVFTFixIjbPhZgzJgxNGvWjGHDhl2z\nLz8/n9mzZ/P5559jsVioUaMGzz//PKGhoT+rLUeVkJBAREQELVu2NDuKyO+eCh8Rgy1btox77rnn\nmu0bNmy4rfP8+OOPfPbZZzfc37NnT8aPH29/nZaWRmxsLOnp6de898o6TD9HZGTkzz72Zr7//nsi\nIiJ4+eWXSUpKwmKxcPToUYYMGULNmjV59NFH70i7ZsjJyWHAgAFmxxBxCip8RBxEQEAAO3fuZNu2\nbaxbt44LFy7g5eXFrFmziI+P59y5cwB07tyZmJgYxo4dS1lZGb179yY9Pb3aVcXbt2/PrFmzABg8\neDC1a9fm66+/JjIyki1btjBw4EBatmxJdHQ0nTt35tNPP+XHH39k1KhR9OzZk4qKCt566y22bduG\nq6srbdq0YcKECSQnJ3Pu3DnGjx9P165dCQ0N5ZNPPqGoqIghQ4YQFRWF1WolMTGRTz/9lJKSEmw2\nG1OmTKFt27Y3zLtixQqCg4Pp06ePfduDDz7I/Pnz8fb2BuCTTz7hzTff5MKFC7i7uxMTE0NISAjp\n6els2bKFsrIyTp48ScOGDRk4cCDvvfce33zzDUOGDGHo0KGkp6eTnZ2N1WolPz8fX19fpk2bhq+v\nL//73/+YOHEiJ0+exGaz0adPH5577jm+++67G14jgEWLFrFlyxasViv33nsvEyZMwNfXl8GDB9O6\ndWv279/P6dOnadu2LdOnT2fu3LkUFBTwyiuv8OabbxIUFPSL/h2JyM2p8BEx2LPPPltlqGvJkiX4\n+PhUec+xY8f4z3/+g5eXFwsWLOC+++5jyZIllJaWMm7cOIqKikhKSiIsLOyWeooqKipYt24dDz/8\nsH1brVq12LRpEwBbtmyxbz9x4gQdO3bk9ddf5/3332fatGn07NmTFStW8Pnnn7NhwwY8PDwYPXq0\n/firlZWVsX79evLz8+nTpw9t27altLSUgoICVq9ejYuLC2+//TYpKSk3LXwOHz5sf4r71dq1awfA\nuXPneOmll1i0aBFBQUF8+eWXDBo0iHXr1gGXi6LMzEx8fX0JCwsjOzubZcuWkZeXR//+/YmOjgZg\n//79pKen4+fnx4wZM5g6dSrz5s3jlVdeoVu3bgwZMoSioiIGDhxIw4YNCQoKuuE1ysjIIC8vj7Vr\n1+Lm5sbq1atJSEggJSUFgG+//Za0tDRKS0vp0aMHe/bsYdSoUWRmZjJjxgxatWpV7d+liPwyKnxE\nDHajoa6rBQQE2J9g3qlTJ0aMGMHp06fp0KEDsbGxeHt78+OPP970HJs2bWLfvn0AXLp0iRYtWjB5\n8mT7/isFxE+5u7vbn7vWvHlzfvjhB+DycEzv3r3tS+DPmTMHuDyf6GpRUVFYLBYaNGhAp06d2LFj\nB0OHDqV27dqsWrWKEydOsHv3bvuTtm/EYrFws4XlDx06ROPGje09JM2aNSM4OJg9e/ZgsVho1aoV\nDRs2BOC+++6jY8eOuLi40KhRIy5evMiFCxcAePTRR+3znvr370/v3r0pLS1l//79LFmyBABvb2/6\n9u3L9u3bCQoKuuE1+uijj/jss8/o168fAFar1d4OQJcuXXBxccHLy4v777+/2r9DEfn1qfARcUB3\n3323/c+BgYF8+OGH7Ny5k127dhEeHs6CBQuoX7/+Tc/x0zk+N2vjau7u7vYeKYvFYt/u5lb1x0Vh\nYSFWq/Wa469+n9VqxcXFhW3btjF16lSGDBlCt27daNq0KRs3brxp/tatW3Pw4EEGDRpUZfuqVau4\ncOECTZo0ueYYm81GRUUF7u7ueHh43DDX1a4eIrRarbi6umK1Wq8puqxWKxUVFcCNr5HVauW5554j\nKioKgPLy8irFzdXPTaqusBORO0O3s4s4uBkzZrBw4UJCQ0MZN24cDzzwAN988w1ubm5UVlYa9uXZ\nvn17srKyKC8vx2q1MnHiRLKzs695X0ZGBgCnTp1ix44dhISEsGPHDrp06UJUVBStWrXigw8+oLKy\n8qbtDRgwgD179rBx40b7Zzx8+DDz5s3D39+foKAgjh8/zqFDhwD48ssv2bt3Lw899NBtfa5du3aR\nn58PXC6qunTpgpeXF0FBQSxfvhy4fAddRkZGtXe9dezYkXXr1lFcXAzA3LlzefXVV6vN4Orqai+q\nROTOUo+PiIN79tlnGTNmDL169cLDw4OAgAB69eqFq6srzZs3p0ePHqxcuZK6deve0RwRERGcPHmS\nvn37YrPZeOihhxg8eDCLFi2q8r7vvvuOvn37UlZWRkJCAk2bNiUiIoJXXnmFsLAwXF1dadeunX0C\n8I3UqVOHtLQ03nrrLZKTk3FxcaFmzZpMnTrVfkfX3LlzmTx5MmVlZVgsFpKSkvDz8+PAgQO3/Ll8\nfX2Ji4vjzJkzPPDAA7zxxhvA5YLzjTfeID09nfLycsLCwujbty8nT5684bnCw8PJz8+nf//+WCwW\nGjZsyLRp06rNEBoayqhRo5gyZQodO3a85ewicvv0dHYR+dV07dqVuXPn/mYm6aanp/P++++TnJxs\ndhQRMYiGukRERMRpqMdHREREnIZ6fERERMRpqPARERERp6HCR0RERJyGCh8RERFxGip8RERExGmo\n8BERERGn8X8BnsD3yj/zIQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1197d5908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mpl.style.use('seaborn-white')\n",
    "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 usarrests_score.index:\n",
    "    ax1.annotate(i, (usarrests_score.PC1.loc[i], -usarrests_score.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 usarrests_loadings[['PC1', 'PC2']].index:\n",
    "    ax2.annotate(i, (usarrests_loadings.PC1.loc[i]*a, -usarrests_loadings.PC2.loc[i]*a), color='orange')\n",
    "\n",
    "# Plot vectors\n",
    "ax2.arrow(0,0,usarrests_loadings.PC1[0], -usarrests_loadings.PC2[0], width=0.006)\n",
    "ax2.arrow(0,0,usarrests_loadings.PC1[1], -usarrests_loadings.PC2[1], width=0.006)\n",
    "ax2.arrow(0,0,usarrests_loadings.PC1[2], -usarrests_loadings.PC2[2], width=0.006)\n",
    "ax2.arrow(0,0,usarrests_loadings.PC1[3], -usarrests_loadings.PC2[3], width=0.006);\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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fn3rydGZmpucqqod+PVTM0OV7eO3HbBqHBjK1bzOe6JpITLBsISaEEBdKtUOO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\nr7q0KMTtkGPTpk2ZMWMGBw4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6197QpqNzbk4IUS0JNCHqCC0yBu2PN6P+cBPs2+3cS/LH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\nCCGES5BAE0II4RL+A6Ezr8tjlTbKAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11992ceb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mpl.style.use('ggplot')\n",
    "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": {
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "<a id='lab2'></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "### Lab 2: Clustering"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "<a id='lab-10.5.1'></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "### Lab 10.5.1 K-Means Clustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "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": {
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "**K = 2**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "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": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "km1 = KMeans(n_clusters=2, n_init=20)\n",
    "km1.fit(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "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": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "km1.labels_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "**K = 3**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "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": 14,
     "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": 15,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1    21\n",
       "0    20\n",
       "2     9\n",
       "dtype: int64"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.Series(km2.labels_).value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-0.27876523,  0.51224152],\n",
       "       [ 2.82805911, -4.11351797],\n",
       "       [ 0.69945422, -2.14934345]])"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "km2.cluster_centers_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "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": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "km2.labels_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "68.973792009397258"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Sum of distances of samples to their closest cluster center.\n",
    "km2.inertia_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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5Eg/9Wrx4MatWrSI6OjqYecKfxVLsvSim7lEREQkb5bafAky7PfAC9VMiEkFK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\nvF4q9+mDde1ajCNDjVatIrt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ScFnbkBk1KmSZQkn/miTs2H7+mcShQ7EdOPB327ZtGC4X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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11d698978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plots\n",
    "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": {
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "<a id='lab-10.5.2'></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "### Lab 10.5.2 Hierarchical Clustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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t27dPfr9f06ZNU0FBgRe5AQAAAEgS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\nYcPnYVMebj/XdFkOG3KQ7NjvebEcNsTw4jNtYGzY+w4dOqhHjx4JX1r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yAAAe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\n9AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11d6f7a20>"
      ]
     },
     "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": {
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "<a id='lab3'></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "### Lab 3: NCI60 Data Example"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "<a id='lab-10.6.1'></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "### Lab 10.6.1 PCA on the NCI60 Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['data', 'labs']"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# NCI60 dataset is in R ISLR package\n",
    "islr = importr('ISLR')\n",
    "nci60_rdf = rdata(islr).fetch('NCI60')['NCI60']\n",
    "list(nci60_rdf.names)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
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       "    <tr style=\"text-align: right;\">\n",
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       "      <th>9</th>\n",
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       "      <th>6820</th>\n",
       "      <th>6821</th>\n",
       "      <th>6822</th>\n",
       "      <th>6823</th>\n",
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       "      <th>6825</th>\n",
       "      <th>6826</th>\n",
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       "      <td>1.596418</td>\n",
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       "      <td>2.190290</td>\n",
       "      <td>-0.016217</td>\n",
       "      <td>-0.349092</td>\n",
       "      <td>0.266465</td>\n",
       "      <td>-1.311310</td>\n",
       "      <td>-0.019322</td>\n",
       "      <td>0.191185</td>\n",
       "      <td>1.988627</td>\n",
       "      <td>1.007979</td>\n",
       "      <td>0.716019</td>\n",
       "      <td>...</td>\n",
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       "      <td>0.008704</td>\n",
       "      <td>-0.960951</td>\n",
       "      <td>-0.095838</td>\n",
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       "    <tr>\n",
       "      <th>RENAL</th>\n",
       "      <td>0.682995</td>\n",
       "      <td>-0.375502</td>\n",
       "      <td>1.628079</td>\n",
       "      <td>-0.444299</td>\n",
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       "      <td>-0.019322</td>\n",
       "      <td>0.408709</td>\n",
       "      <td>0.798057</td>\n",
       "      <td>0.045135</td>\n",
       "      <td>0.119051</td>\n",
       "      <td>...</td>\n",
       "      <td>-1.313667</td>\n",
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       "      <td>-0.409013</td>\n",
       "      <td>-0.086293</td>\n",
       "      <td>-0.709285</td>\n",
       "      <td>-0.494711</td>\n",
       "      <td>-1.034286</td>\n",
       "      <td>1.558075</td>\n",
       "      <td>-0.693981</td>\n",
       "      <td>-0.830408</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>BREAST</th>\n",
       "      <td>1.151170</td>\n",
       "      <td>-0.581759</td>\n",
       "      <td>0.965145</td>\n",
       "      <td>1.138767</td>\n",
       "      <td>0.361351</td>\n",
       "      <td>-0.033703</td>\n",
       "      <td>0.177590</td>\n",
       "      <td>0.396239</td>\n",
       "      <td>0.550041</td>\n",
       "      <td>2.310550</td>\n",
       "      <td>...</td>\n",
       "      <td>0.718297</td>\n",
       "      <td>-1.048700</td>\n",
       "      <td>-0.728079</td>\n",
       "      <td>-0.556925</td>\n",
       "      <td>0.839231</td>\n",
       "      <td>0.492157</td>\n",
       "      <td>-0.075668</td>\n",
       "      <td>1.116312</td>\n",
       "      <td>0.525182</td>\n",
       "      <td>0.000992</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 6830 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "            0         1         2         3         4         5         6     \\\n",
       "0                                                                              \n",
       "CNS     0.728671  1.607220  1.325688  1.355688 -0.604845 -0.220654  0.898137   \n",
       "CNS     1.596418  1.753544  0.441686  0.654119  0.911898  1.648748  1.849697   \n",
       "CNS     2.190290 -0.016217 -0.349092  0.266465 -1.311310 -0.019322  0.191185   \n",
       "RENAL   0.682995 -0.375502  1.628079 -0.444299  1.244434 -0.019322  0.408709   \n",
       "BREAST  1.151170 -0.581759  0.965145  1.138767  0.361351 -0.033703  0.177590   \n",
       "\n",
       "            7         8         9       ...         6820      6821      6822  \\\n",
       "0                                       ...                                    \n",
       "CNS    -0.868741 -1.058612 -1.059174    ...    -1.030663 -0.358518 -0.238245   \n",
       "CNS     2.226625 -0.095860 -0.477977    ...    -0.215657 -0.625720 -0.489938   \n",
       "CNS     1.988627  1.007979  0.716019    ...     0.452274 -0.251651 -0.930304   \n",
       "RENAL   0.798057  0.045135  0.119051    ...    -1.313667 -0.456479 -0.409013   \n",
       "BREAST  0.396239  0.550041  2.310550    ...     0.718297 -1.048700 -0.728079   \n",
       "\n",
       "            6823      6824      6825      6826      6827      6828      6829  \n",
       "0                                                                             \n",
       "CNS    -0.392487  0.831370 -0.200286 -0.075668  0.520893 -0.836365 -1.384675  \n",
       "CNS    -0.800791  0.013818 -1.105413 -1.117676 -0.823652 -0.925425 -1.431446  \n",
       "CNS    -0.868790 -0.583517 -0.331142 -0.075668  0.008704 -0.960951 -0.095838  \n",
       "RENAL  -0.086293 -0.709285 -0.494711 -1.034286  1.558075 -0.693981 -0.830408  \n",
       "BREAST -0.556925  0.839231  0.492157 -0.075668  1.116312  0.525182  0.000992  \n",
       "\n",
       "[5 rows x 6830 columns]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
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       "  <thead>\n",
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       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>CNS</td>\n",
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       "    <tr>\n",
       "      <th>1</th>\n",
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       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>CNS</td>\n",
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       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>RENAL</td>\n",
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       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>BREAST</td>\n",
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       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        0\n",
       "0     CNS\n",
       "1     CNS\n",
       "2     CNS\n",
       "3   RENAL\n",
       "4  BREAST"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nci60_labs = pd.DataFrame(pandas2ri.ri2py(nci60_rdf[1]))\n",
    "nci60_data = pd.DataFrame(scale(pandas2ri.ri2py(nci60_rdf[0])), index=nci60_labs[0])\n",
    "display(nci60_data.head(5))\n",
    "display(nci60_labs.head(5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "Index: 64 entries, CNS to MELANOMA\n",
      "Columns: 6830 entries, 0 to 6829\n",
      "dtypes: float64(6830)\n",
      "memory usage: 3.3+ MB\n"
     ]
    }
   ],
   "source": [
    "nci60_data.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "RENAL          9\n",
       "NSCLC          9\n",
       "MELANOMA       8\n",
       "COLON          7\n",
       "BREAST         7\n",
       "LEUKEMIA       6\n",
       "OVARIAN        6\n",
       "CNS            5\n",
       "PROSTATE       2\n",
       "K562B-repro    1\n",
       "UNKNOWN        1\n",
       "K562A-repro    1\n",
       "MCF7D-repro    1\n",
       "MCF7A-repro    1\n",
       "Name: 0, dtype: int64"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nci60_labs[0].value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "# PCA\n",
    "pca = PCA()\n",
    "nci60_pca = pd.DataFrame(pca.fit_transform(nci60_data))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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c3FyOHDnCb7/9hsfjYf369bRv3x6AL7/8kkaNGlGlShV69OjBokWLgtdu2LCB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df4Yu8nMAa3vQkTHNiyFj5Pk+QXOLRjcDBkSfAoCR4+oPOWC4Phoo75TCqMIUfQuR68hVNyh3FS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\nBQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11d698d68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot\n",
    "fig, (ax1, ax2) = plt.subplots(1,2, figsize=(15,6))\n",
    "\n",
    "color_idx = pd.factorize(nci60_labs[0])[0]\n",
    "cmap = plt.cm.hsv\n",
    "\n",
    "# Left plot\n",
    "ax1.scatter(nci60_pca.iloc[:,0], nci60_pca.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(nci60_pca.iloc[:,0], nci60_pca.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 since we do not create scatter plots per class (which could have their own labels).\n",
    "handles = []\n",
    "labels = pd.factorize(nci60_labs[0].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": 27,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\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": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.DataFrame([nci60_pca.iloc[:,:5].std(axis=0, ddof=0).as_matrix(),\n",
    "              pca.explained_variance_ratio_[:5],\n",
    "              np.cumsum(pca.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": 28,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX8AAAD0CAYAAABzRCbIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11d580278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nci60_pca.iloc[:,:10].var(axis=0, ddof=0).plot(kind='bar', rot=0)\n",
    "plt.ylabel('Variances');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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FhSE8PBzHjh3DH/7wB4SGhsJgMGDUqFH43//+580YW89+Bu+iunEQEVHAioyMRElJif31\nuXPnEBnJc+FEvqJhpU5bWAhJCHuLA7nRv9eNyeXlKM/ORp3ZDCFJqDObUZ6dzeSOVOP2DJ7VakVR\nURFiYmIAACdPnkRtba3HA2sXQ6MqmkRERCqQJAmZmZkYPHgwNBoN9u3bh8jISCxduhQAkJmZqXKE\nRNQSp0VT2OKAfIjbBO+OO+7A3LlzERcXBwA4deoUHnzwQY8H1i4hekCSgSqewSMiInVcc801Do3N\nk5KSVIyGiFrSdCtm5f33uyyawhYH5CvcJnjDhw9HYmIiDh48CEmSkJiYiPDwcG/E1maSJAF6PVfw\niIhINVFRURg4cKDD2AcffIAbb7xRpYiIyBlnRVO6PfYYWxyQz3N5Bq+Boij4z3/+g127dmHQoEHY\nunUrFEXxRmztozeyiiYREalm+fLleOeddwAAVVVVWLZsGT766COVoyIifX4+olJS0Cs2FlEpKQhf\nsMBp/zolPByKXu8w3rjFwZmCAhSfPo0zBQVM7qhLcruCt27dOlRUVODo0aMAgD179uDcuXOYMmWK\nx4NrF70Rgit4RESkkqVLl+LFF1/Et99+i5KSElxzzTX4y1/+onZYRAHN2Wqdq/YG0oULOP/CC1yp\nI5/ldgVv3759yMjIQFBQEAwGA+bNm4d9+/Z5I7b2MRi4RZOIiFTTrVs3XHnllThy5AhqampwxRVX\nQKt1+30qEXmQ08IpLt7bUDSFK3Xkq9w+cbRaLWT5pzwwKCjI4XWXozcCP55VOwoiIgpQ8+fPR1BQ\nEJYtW4azZ88iJycHv/jFL/DHP/5R7dCIAkKzwin33eeycIqAY6LHoinkD9wmeL1798aWLVugKAqK\nioqwefNm9O3b1wuhtY+kN0JYjqsdBhERBaikpCSMHTsWsiyjR48eWLp0KVauXKl2WEQBwWnhlAUL\nXL5fiYiAMBq5FZP8itsEb/LkyVizZg3Ky8sxf/58DBkypGt/C6nnFk0iIvI+m80GjUaDcePGOYwb\njUbceuutKkVFFFhcbcVUwsMhamubtTioWLSICR35Hbd7LQ0GA2bMmIFVq1bhtddew4MPPoiwsDBv\nxNY+eiNgsUA4aURJRETkKY899pj959WrVztce+mll7wdDpHfa1oVM3TxYpdbMaULF1CenY06sxlC\nklBnNqM8O5vJHfkltyt4p0+fxnvvvYfKykqHpCkzM9OjgbWbwQAIBai2ADqD2tEQEVGAaPyM/O67\n71xeI6KOc7YVMzwnB0KSACf/vjUUTmFCR4HAbYKXk5ODAQMGNGva2mXpjfW/V1UxwSMiIq+RJFc1\n+Vq+RkRt52wrJgAo3bpBqq5uthWThVMokLhN8Gpra7tuzztnGhI8y0UAJlVDISKiwNHRVTpFUZCb\nm4sTJ04gKCgI06dPR3R0tP36p59+is2bN0OWZaSlpeHGG2/saMhEPqFpVUxrerrLrZhyeTl72FHA\nc5vg9erVC+fOnUP37t29EU+HSXpDfeNKFlohIiIv6ugq3a5du1BbW4usrCwcOnQIa9euxezZs+3X\n8/Ly8Nxzz0Gn0+Ghhx7CyJEjERoa2tGwibo0Z1sxQ9esgZBlQFGavZ9bMYlakeApioKZM2ciPj4e\nwcHB9vEuewZPf2lbpqVK3TiIiCignDhxAvfccw8AoLq62v6zEAK1tbVu7z948CCSkpIAAAMGDMDR\no0cdrvfp0wdVVVX2XrTc9kn+qPFqXVRMDKSqKudbMcPDuRWTyAW3CV5KSgpSUlK8EUvnMNR/mymq\nLoKPPiIi8pYXX3yxQ/dbLBYYDD+dHZdl2d56AajvS5uZmQmdToeUlBQYjUann2MyNT+eoNVqnY77\nk0CYI+Df85Q3bIAmMxNSVf2X9NrCQrja+CyXl8P2t79BWrAAOHUK6N0bypNPwnjnnXD+b0bX489/\nLxvjPL3PZYJXVVUFg8GA5ORkb8bTcVzBIyIiFfTs2bND9+v1elgarUYIIezJ3YkTJ/DVV19hxYoV\n0Ol0eOGFF7Bz505cffXVzT6ntLS02ZjJZHI67k8CYY6Af88zau5ce3LXwNWX9baYGJy54Qbghhsc\nL/jQXxt//nvZGOfpGTExMS6vuUzwFi5ciKVLl2Lq1KlOr2/cuLHjkXmCQ5EVIiIi35CQkIAvv/wS\nI0eOxKFDhxAXF2e/ZjAYEBwcjODgYMiyjG7duuHiRT7nyHc1LZxyYc4cl4VTBBwTPW7FJGqZywRv\n6dKlALpwIudKcDCg0TDBIyIin5KSkoK9e/di3rx5EEIgIyMDO3bsgNVqRXp6OtLT0zF//nxotVpc\ndtllSE1NVTtkonZxVjgl4sEHXa7WKREREEYjq2IStZLbM3h1dXX46quvYLVaIYSAoigoKSnBnXfe\n6Y342kySpPpVPG7RJCIiHyLLMqZNm+YwZjab7T/feOONbI1AfsFZDztJCCgGAyBEs8IpFYsWMaEj\nagO3Cd7zzz+PM2fO4Ny5c+jXrx8OHz7c9Zue6w31jc6JiIi87Pz583j55ZdRUlKChQsXYsWKFcjI\nyPCZdkNEnqYpKnI6Llks7GFH1Alkd284fvw4lixZguTkZNxzzz146qmnUNXVkye9EYJbNImISAW5\nubkYNmwYgoODERoaij59+uCVV15ROywiVejz8xGVkoJesbGI+sUvEHnrrYBwXhuzoYfdmYIC1Fqt\nOFNQwOSOqB3cJniRkZHQaDSIiYnBqVOnEBsbi+rqam/E1n56A8/gERGRKs6ePYv09HRIkgStVou7\n7747ICrIETXVcNZOW1gISQhoS0oQ8vnnqP35z6HodA7vZeEUos7jNsELCQnBjh070KdPH+zcuRMn\nT55EZWWlN2JrPwPP4BERkTokSYKiKPbXFosFwsWKBZE/c3rWDoBcUYHyZ55BndkMIUmoM5tRnp3N\n1TqiTuL2DN6UKVPw8ccfY8KECfj444/x+OOPd9kCKw0kbtEkIiKVpKSk4IUXXkBVVRU+/PBDfPzx\nx0771RH5k6ZtDyy/+53LtgeaoiJYxo5lQkfkIW4TvJiYGNx9990AgIceeqjVH6woCnJzc3HixAkE\nBQVh+vTpiI6Otl/fvXs33n77bciyjLS0NKSnp6Ourg4rVqzA2bNnIcsy7rvvPocKYq2mNwBVTPCI\niMj7xo4di+3bt0MIgb179yI9PR3XXXed2mEReYyztgdhr7wCIctAo9XsBrYWGjQTUce5TPAefvjh\n+pYDLixbtqzFD961axdqa2uRlZWFQ4cOYe3atZg9ezaA+tYLa9asweLFi6HT6TB//nwkJyfj8OHD\nsNlseOqpp7B3715s2LABjzzySNtnpTcCVguEYoMka9p+PxERUTvZbDZIkoSHHnoI58+fx2effQYh\nRIvPVCJf5mwrJgAo4eGQqqubtT3gWTsiz3KZ4E2dOrVDH3zw4EEkJSUBAAYMGICjR4/arxUWFiI6\nOhqhoaEAgISEBBw4cAC9e/eGoihQFAVVVVXQat0uMDpnMNb/brUAhtAOzYOIiKgtVq1aBavVil/9\n6leQJAkHDhzADz/8gClTpqgdGlGnaLod09VWTLm8nG0PiFTgMoNq3Ovu1KlT+OabbyDLMq666ir0\n6tXL7QdbLBYYDAb7a1mWYbPZoNFoml3T6/WoqqqCTqfD2bNn8dBDD6GiogJzXHzDYzKZmk9Eq7WP\nW3pehgoAkboQaJy815c1nqe/CoQ5ApynPwmEOQKBM8+OOnz4MJ599lkAQLdu3TBz5kzMmjVL5aiI\nOoez7ZiuNLQ9YEJH5F1ul8g++OADvPnmm0hKSoKiKNi0aRP++Mc/YuTIkS3ep9frYWm0JC+EgEaj\nsV+zWq32axaLBUajEf/85z8xZMgQ3HXXXSgtLcWTTz6JZcuWITg42OGznZWbNplM9nFhq9/vXVZ4\nGpIc5G6KPqXxPP1VIMwR4Dz9SSDMEVBnnjE+eFanrq4OdXV19l0oipMzSES+ytV2TCFJkBpVi+VW\nTCL1uE3w/vnPfyI7OxuRkZEA6pOrxYsXu03wEhIS8OWXX2LkyJE4dOgQ4uLi7NfMZjOKi4tRWVkJ\nnU6HAwcO4JZbbsHp06ftD8TQ0FDYbLb2PRj1l1YHWUmTiIi8bOjQocjKyrJv0dyxYweGDh2qdlhE\nHVdT43I7JoRAndnMrZhEXYDbBM9gMNiTO6D+G9ygIPerYikpKdi7dy/mzZsHIQQyMjKwY8cOWK1W\npKenY9KkScjKyoKiKEhLS0NkZCRGjx6Nl156CQsWLEBdXR3uvPNO6Jo0wmyVhjN47IVHREReNnHi\nRGzZsgW7d++GLMsYPnw40tPT1Q6LqM0an7VTevSAkGW4KhVkM5txpqDAq/ERkXNuE7zExESsWrUK\nv/nNb6DRaPCf//wH0dHROHbsGAAgPj7e6X2yLGPatGkOY41bHiQnJyM5Odnhuk6nw8yZM9s8iWb0\n9QmesFx0+R8iIiIiT5BlGaNGjcKoUaPUDoWo3ZqetdOUlkJIEizXX4+Q//6XlTGJujC3CV7BpW9j\n9uzZ4zD+7LPPQpIk5OTkeCayjmjYosleeERE5GX//e9/sX79elRWVjqMr1mzRqWIiNrO2Vk7SQgE\nHTyI8uxsVsYk6sLcJng5OTnNevdYrdb2bZ30Fj23aBIRkTo2btyISZMmoV+/fux9Rz6haduDqttv\nd3nWTlNUxMqYRF2c7O4NTz/9tMO3kMeOHUNmZqZHg+ooKSgICApmkRUiIvI6o9GI4cOHIyoqCj17\n9rT/IuqKGrZiagsLIQkBbWEhwp57DnDx5YTNByvbEgUatwne5ZdfjszMTHz33Xd47733sHTpUtx+\n++3eiK1j9Aau4BERkdddfvnl+Prrr9UOg6hVnG7FBKB06wZFr3cY51k7It/gdovm7bffjvj4eCxY\nsAARERFYsmQJunfv7o3YOkZv5Bk8IiLyuq+//hr//ve/odVqodVqIYSAJEk8g0ddkqaoyOm4XF6O\n8y+8wLN2RD7IbYK3Z88erF69Gr/97W9RWFiI5cuX489//jNMJpM34ms/vQGCWzSJiMjLFixYoHYI\nRE41PWtXM2wY0Kg5eWO2mBietSPyUW4TvJdffhn3338/Bg8eDADYvHkz5syZg9zcXI8H1yEGI7do\nEhGR1/Xs2RPff/89rFYrhBBQFAUlJSXshUeqatr2QFtYCG1hIepiYyGXlkK2Wu3v5VZMIt/mNsF7\n5plnEB4ebn89evRoDBo0yKNBdQq9ATj3o9pREBFRgHnllVewe/du1NTUIDIyEiUlJUhMTGSCR6py\ndtYOACAEyp95hlsxifyIyyIrW7ZsAQCEh4fj1KlTDtc++ugjz0bVCSSewSMiIhXs27cPOTk5SElJ\nwZw5c7BgwQKEhISoHRYFOFdn7RraHpwpKEDx6dM4U1DA5I7Ix7lM8D755BP7z02bmR8+fNhzEXUW\nvYFtEoiIyOsiIiKg0+lgNptx8uRJDBw4EBUVFWqHRQFEn5+PqJQU9IqNRdSwYYi8805ILZy1IyL/\n4jLBE43+QyBc/EehSzMYgZpqiLo6tSMhIqIAotVq8b///Q+xsbHYs2cPqqqqcOHCBbXDogDRrK9d\nURFCtm9HTWIiFJ3O4b08a0fkn1wmeFKjBpeSi2aXXZreWP+7lYVWiIjIeyZMmICPPvoIV111FY4f\nP46pU6fiV7/6ldphUYBw1ddOvnAB5c88gzqzGUKSUGc2ozw7m9sxifyQ2yIrPktvqP+96iIQGt7y\ne4mIiDrJgAEDMGDAAADA008/jYsXL8JoNKocFQUKd2ftmNAR+T+XCV55eTk2b97c7GcAPnGWQNIb\nIQC2SiAiIq94/fXXMXnyZCxZssTpzpfMzEwVoiJ/17i3nQgNbbGvHREFBpcJ3uDBg3Hy5MlmPwPA\nlVde6fnIOspw6dtSFlohIiIvaGghNGLECJUjoUDRtLeddOEChCRBaLWQamvt7+NZO6LA4jLBy8jI\n8GYcna9hiyZX8IiIyAuSk5MBANu3b8eCBQtUjoYCgdPzdkLAZjRCGI3sa0cUoPz4DF79Cp6ouggf\nLBFDREQ+6uLFi7BardA1qVhI1JnkM2egKSx0fq28HMXffuvliIioq/DjBK9hBY9bNImIyHt0Oh3u\nv/9+xMXlSwiPAAAgAElEQVTFOSR5PINHHdH4rN1lkZGQrFaX7+V5O6LA5rcJnrJ3NwBAbMyF7cN3\nIY2ZCHlEqrpBERGR30tLS1M7BPIzTc/aaX78EUKSYPn976H74AOHbZo8b0dErUrwjhw5gu+//x5p\naWk4duyYvfxzV6V8vg1Y//JPA2VnIfJWQAGY5BERkUelpqY6vBZCoKSkRJ1gyC+4OmsXvHs3yrOz\n7St7PG9HREArErxt27bhvffeQ21tLVJSUpCdnY077rgD6enp3oivXcSmPKCm2nGwprp+nAkeERF5\n0Icffoh169bB2mgLXXh4OFatWqViVOSzhHB51o697YjIGdndG/71r3/hqaeegl6vR7du3bBkyRK8\n//773oit/cpK2zZORETUSd555x3MmzcPQ4cORXZ2Nm6//XakpKSoHRb5CH1+PqJSUtArNhZRyckw\n3XSTy2JxPGtHRM64TfBkWYbBYLC/NplM0Gg0Hg2qwyJNbRsnIiLqJKGhoejfvz/69u2L8vJyjB07\nFkeOHFE7LPIBDWfttIWFkISAtrgYQfv3o3rYMCh6vcN7edaOiFxxm+CFhobi+PHjkKT6748+/fRT\nhIaGejywjpDGTASCQxwHg0Pqx4mIiDxIq9WisrISvXr1sid21hYqHhI1cHrWDvVbMcuzs1FnNkNI\nEurMZpRnZ3NrJhE55fYM3uTJk/Hcc8+hpKQE9913H4KCgjB79mxvxNZu8ohUKADEprX12zJDdJDu\nzmCBFSIi8rjrr78eS5cuRWZmJmbNmoWCggKYzWa1wyIfoCkqcjnecNbOZDKhtJRHTojINbcJntls\nxtKlS1FSUgJFUWA2m7v+Fk1cqpY5IhW2FxcBxaeY3BERkUfV1dVBq9Xiuuuuw8iRI6HT6ZCVlYWj\nR49iyJAhaodHXUzjvna2mBhYfv97QJIAIZq9l2ftiKgt3G7R3L9/Px599FHExsZCkiRMnz4dhw4d\n8kZsnUIaeBVwtgTiLEtUExGR58yYMQNvvPEGysrK7A3OIyMjMWzYMAQHB6scHXUlzc7aFRYi7KWX\noISFQYQ4HjHhWTsiaiu3Cd66deswY8YMAEDv3r3x6KOPYs2aNR4PrLNIVyQBAMT/9qgcCRER+bNH\nH30UFRUVePjhh7Fs2TLs379f7ZCoi3J21g4AhNGI88uW8awdEXWI2y2adXV1iI+Pt7+Oj49HbW2t\nR4PqVJeZgcieEP/7Gvj1TWpHQ0REfio+Ph7Tpk3DpEmT8Nlnn2H9+vWorq7GjTfeiNTUVPuqHpHL\ns3bFxexrR0Qd5nYFLyQkBHv2/LT6tW/fPp96SEmSBOmKq4ADeyFsNrXDISIiP6fT6XD99ddj8eLF\nePDBB3Hy5En7ThgiKApEWJjTSzxrR0SdoVVVNJctWwZZrs8FZVnGww8/7PHAOpM0MAni0w+A44eB\nnyWqHQ4REQWAb7/9Flu3bsW3336LX/7yl2qHQypqXFBFBAdDrq6G0GggNfrimWftiKizuE3w+vfv\nj5deegknT56ERqNBTEwMtFq3t3UtPx8CSBLEt19DYoJHREQeUlZWhm3btuGTTz5BSEgIbrzxRkyb\nNs2ndr5Q52ooqNJw5k6qroYICsLFO++EbutWexXNC3PmcGsmEXUKt5ladXU1du7cicrKSgDA3r17\nAQCjR4/2bGSdSDKGAX0urz+Hd8udaodDRER+KCsrCwcOHEBycjJmzJiBgQMHqh0SdQFOm5fX1kK3\ndSvOFBSoFBUR+TO3Cd7zzz+Pc+fOIS4uDpIkeSMmj5AGXgWx5S2IqkpIhlC1wyEiIj+TkJCA+++/\nHxEREWqHQl2EZLFAU1jo9JqrQitERB3lNsErKirC888/3+bm5oqiIDc3FydOnEBQUBCmT5+O6Oho\n+/Xdu3fj7bffhizLSEtLQ3p6OgBg06ZN2L17N+rq6vCb3/wG1113XRun5Jx0RRLE+28CB/cBQ6/u\nlM8kIiJqMG7cuA7d7+65eeTIEaxduxZCCEREROCBBx5gf70upvFZOyUqCqKF/3diQRUi8hS3VTR7\n9OjRrg/etWsXamtrkZWVhbvuugtr1661X6urq8OaNWswd+5cLFy4EFu3bsX58+fx7bff4rvvvsOi\nRYuwcOFClJaWtuvPdio+AQjR12/TJCIi6mJaem4KIbBy5UpkZGRg0aJFSEpK6txnJHVY0+blmh9+\ngKaoCNbrr4ei1zu8lwVViMiT3K7gxcXFYeHChUhKSnL4ptDdGbyDBw8iKam+yfiAAQNw9OhR+7XC\nwkJER0cjNLR+q2RCQgIOHDiA77//HnFxcVi2bBksFgvuvvvudk3KGUkbBCReyYbnRETkEaWlpTCZ\nTO2+v6XnZnFxMcLCwrB582acOnUKQ4cORQxXgLoUp2ftAAQdPIjy7Gz7yh4LqhCRp7lN8CwWC6Kj\no1FSUtKmD7ZYLDAYDPbXsizDZrNBo9E0u6bX61FVVYWKigqUlpZizpw5OHPmDJYuXYq//vWvzc7+\nOXuAarVatw/WqpRf4sKq5xBRa4W2V2yb5tNVtGaevi4Q5ghwnv4kEOYIBM4822vZsmVYsmQJXnzx\nRTzwwANtvr+l52ZFRQW+++47TJkyBdHR0Vi6dCl+9rOfYdCgQc0+p73PSF+n9hxdNi8vKoJx2jQo\n06ZBuTRmvPSrPdSep7cEwjwDYY4A56kGtwleRkZGuz5Yr9fD0uibLCGE/RyfXq+H1Wq1X7NYLDAa\njQgLC4PZbIZWq0VMTAyCg4NRUVGBbt26OXy2s20pJpPJ7XYVEdcfAFD22SeQU29u17zU1pp5+rpA\nmCPAefqTQJgjoM48fWmV6uLFi1i5ciX27t2L1atXN7s+ZcqUFu9v6bkZFhaG6OhoxMbWfzk5ZMgQ\nHD161GmC195npK9Tc47a//0PPWUZaNTXroEtJqZT4wqEv5dAYMwzEOYIcJ6e0tLz0W2Cd+jQIbzz\nzjuwWq0QQkBRFJw5cwYvv/xyi/clJCTgyy+/xMiRI3Ho0CHExcXZr5nNZhQXF6OyshI6nQ4HDhzA\nLbfcgqCgILz//vsYPXo0zp07B6vVirCwsDZM1Y3LYgBjGMSbr8G2/hUg0gRpzETII1I7788gIqKA\n9PDDD2P37t2QJKldz66WnpuXXXYZrFYrSkpKEB0djYMHD3ZaETJqO4diKt27Q7pwAcJoBKqrIVVX\n29/Hs3ZEpAa3Cd4rr7yCa6+9Fl988QVuuOEGFBQUYPjw4W4/OCUlBXv37sW8efMghEBGRgZ27NgB\nq9WK9PR0TJo0CVlZWVAUBWlpaYiMjERkZCQOHDiAxx57DIqiYOrUqZBlt3VgWk188R/AchFQLm2S\nKDsLkbcCCsAkj4iIOqRv377o27cvoqOj8ctf/hI2mw1CCGi1bh+1ANw/N2fMmIHly5cDqD+jN3To\nUE9Oh1xo2rhcU1YGIcsoz8yECA/nWTsiUp3bp44kSfjDH/6ACxcuICYmBjNnzsT8+fPdfrAsy5g2\nbZrDmNlstv+cnJyM5OTkZvd1ZmGVpsSmvJ+SuwY11fXjTPCIiKgTDBo0CE8//TT2798Pm82GgQMH\n4oEHHkBkZGSL97l7bg4aNAiLFy/2SMzUek6LqSgKQl96CWcKCpjQEZHq3C6P6XQ6APXbQ06dOoXg\n4GAoTZMkX1HmYl+sq3EiIqI2Wr16Nfr3749Vq1YhNzcXP//5z5Gbm6t2WNRJWiqmQkTUFbhN8C6/\n/HI8//zzGDRoEP7xj39g7dq1nbpt0qsiXVS2cTVORETURsXFxRg/fry9eNhtt93W5krU1DUFffUV\n0KSydwM2LieirsJtpjZ58mT89re/RUxMDCZPngxFUfB///d/3oit00ljJgLBIY6DwSH140RERJ3A\nZrOhpqbG/rq6urpZux/yDfr8fESlpKBXbCwuu/JKmMaMgRIRARHi+P8SLKZCRF2JyzN4hYWFMJvN\n+P7776HVanHs2DFERETg2muvdWhx4EvkEalQAIj1rwDWqktVNCexwAoREXWakSNHYtGiRUhLSwMA\nfPLJJ60qTkZdi6tiKhdmzYIIDWUxFSLqslwmeHl5eZgzZw6effbZZtckSUJOTo5HA/MUeUQqhFYL\nZWU25Iy5kPr8TO2QiIjIj4wbNw49evTAnj17IIRAamoqWxr4IJfFVHJyWEyFiLo0lwnenEtbDe65\n5x6kpKR4LSCviO0LABCnv2eCR0REnS4tLc2+gke+icVUiMhXuT2D98Ybb3gjDu+K6gUEBwOnj6sd\nCREREXUx0sWLEMHBTq+xmAoRdXVu++DFxcUhPz8fiYmJ9pYJABAfH+/RwDxJkjWAuS/Eqe/VDoWI\niIi6AH1+vv1cHbRaoLYWIigIUm2t/T0spkJEvsBtgnf48GEcPnwYW7dutY/58hm8BlJsX4ivdkII\nwepmREREAaxpQRXU1kIEB+PiHXdAt3Uri6kQkU9xm+CtWLHCG3F4X2xf4NMPgPNlQPceakdDRER+\n4vTp03jvvfdQWVkJIYR9PDMzU8WoqCVOC6rU1EC3dSvOFBSoFBURUfu4TfAqKiqwfft2e2sERVFQ\nUlKCBx980OPBeZIU2w8CAE5/zwSPiIg6TU5ODgYMGICBAweqHQq1EguqEJE/cZvgPf/88wgODsbp\n06dx5ZVXYt++fUhMTPRGbJ4V2wcAIE59D+nKZJWDISIif1FbW4spU6aoHQa1UtA337i8xoIqROSL\n3FbRLC0txaOPPoqrrroKN910ExYtWoSSkhJvxOZRkiEU6BHFSppERNSpevXqhXPnzqkdBrmgz89H\nVEoKesXG4rKkJPQYMwZK9+5QQkIc3seCKkTkq9yu4EVERAAAoqOjcerUKfzqV7+CoigeD8wrYvtC\nMMEjIqJOpCgKZs6cifj4eAQ3KrXPM3jqa1pMRXP2LIQkoWLuXIju3e1VNFlQhYh8mdsELzw8HO+9\n9x4GDBiAN998E3q9HlVVVd6IzeOk2L4Qe3dD1FRDCg5xfwMREZEbKSkpSElJUTsMcsJpMRUhELpy\nJc4UFDChIyK/4HaL5rRp06DVapGYmIj4+Hi8+eabmDBhgjdi8zipdz9AKEDxKbVDISIiP5Gamoor\nrrgCAGCz2ZCYmIjU1FR1gyIALKZCRIHB5QreP//5T1x33XXo1q0bRo0aBQC4++67vRaYV8T2A3Cp\n0Eqfy1UOhoiI/MGePXvw4osvIjExEYqiYN26dcjIyMCwYcPUDi3gKd27Q1NW1mycxVSIyJ+4TPD2\n79+Pv//97xg5ciRuuukmxMXFeTMu7+h5GRAcwkIrRETUaTZu3IiFCxciNjYWAHDq1Cm8+OKLTPBU\npt+0CXJZGYQsQ2pUS4DFVIjI37hM8DIzM1FWVoaPP/4YS5cuhclkwm9+8xuMGDECsux2Z6dPkGQN\nYO7DQitERNRp6urq7MkdAPTu3dt/ipP5EH1+vr1oihIRAfncOdRcfTWqxo1D2HPPsZgKEfmtFous\nREZGYty4cbj11lvx9ddfY+vWrVi/fj3S0tIwbtw4b8XoUVLvfhC7P4MQApIkqR0OERH5uODgYBw9\nehQ/+9nPAABHjx5FSAgLeXlTs2qZ585ByDKqxo+H5fbbYbnjDpUjJCLyHLdVNAFAkiQMHToUMTEx\neP/997Fp0ya/SfAQ2xfY/m/gXCkQ2VPtaIiIyMfdfffdWLJkCXr16gUhBIqLizFz5ky1wwooTqtl\nKgrCnn0WlttvVykqIiLvcJvg1dTUYOfOnfj4449x5swZXH/99cjJyfFGbF4hxfaDAOrP4THBIyKi\nDvr5z3+O559/HocPH4YQAv3790dYWJjaYQUUVsskokDmMsE7fPgwPvnkE+zcuRP9+vXDzTffjJSU\nFL85f2dn7gPgUiXNwTwAT0RE7bN9+3Zce+212Lx5s8N40aWkYvTo0WqEFZBYLZOIApnLBO+pp57C\nr3/9ayxatMjhsLi/kQxGoEcUK2kSEVGHlJSUAABOnjypciSBLeSjjyBfOnPHaplEFIhcJngrV66E\nTqfzZizq6d2PlTSJiKhDbrvtNgDAsGHDmrVE2L59uxohBYTG1TIv69ED8rlzqL3ySly8+26ELV/O\naplEFHBcJngBk9wBkGL7QnyzC6KmGlIwK50REVHb7d69GzabDevWrYMQAkIIAIDNZsOGDRtw7bXX\nqhyh/2lWLbO0FEKScPGuu2CZMAGWCRNUjpCIyPtaVUXT30mx/SCEAhSeBPr1VzscIiLyQcePH8e3\n336L8vJy/Otf/7KPy7KM3/3udypG5r+cVssUAmEvvgjLxIkqRUVEpC6XCd4bb7yBO+64AwcPHkRi\nYqI3Y/K+3n0BAOL095CY4BERUTuMGzcO48aNw1tvveU/rYS6OFbLJCJqzmVJzM8++wxlZWV47bXX\nUFlZ2eyXXzFFAyE6FlohIqIO++yzz9QOIWDYoqOdj7NaJhEFMJcreIMHD8aMGTMAAFOnTm12fePG\njZ6LystEwXbAVgfx8WbY9nwBacxEyCNS1Q6LiIh8UFxcHHbs2IHExESH8+yhoaEqRuWHLBYgJAQC\ngNRomNUyiSjQuUzw7r33Xtx77714/PHHsXDhQm/G5FXK59sg8lYAdXX1A2VnIfJWQAGY5BERUZvt\n3r0bn3/+ebNxf/piVHU2G7o/8AA0J07g4tSp0G3ZwmqZRESXuC2ysnDhQhw+fBh79uyBzWbD4MGD\nMXDgQG/E5hViUx5QU+04WFNdP84Ej4iI2mj9+vVqh+C37C0RCgshAai69VZUPPkkKp58EiaTCaWl\npWqHSESkOrcJ3vbt27FhwwYMHz4ciqJg+fLlGD9+PNLT070Rn+eVuXgYuBonIiJqgaIo+Mc//oE9\ne/agrq4OQ4YMwZgxY6DRaNQOzac1bYkAALr334c+NZUrdkREjbgsstJg8+bNePrppzF58mRMmTIF\nixcvdij/7PMiTW0bJyIiasH/+3//D/v378fNN9+M0aNH47vvvkNeXp7aYfk8Zy0RZIsFYUuWqBQR\nEVHX5HYFTwiB7t27219HRkZClt3mhVAUBbm5uThx4gSCgoIwffp0RDeqdrV79268/fbbkGUZaWlp\nDiuC5eXlmDNnDubNmwez2dzWObWJNGZi/Rm8xts0JRnSGPbPISKitvvmm2+wePFiaLX1j9ihQ4di\n1qxZKkfl+9gSgYioddxmaqGhodi1a5f9dUFBAYxGo9sP3rVrF2pra5GVlYW77roLa9eutV+rq6vD\nmjVrMHfuXCxcuBBbt27F+fPn7ddeffVVBAcHt2c+bSaPSIU08X4gsicACdAbAKFAivZsYklERP5J\nURR7cgcAQUFB3J7ZQdojR1xeY0sEIiJHblfwpkyZguzsbKxevbr+Bq22Vd9EHjx4EElJSQCAAQMG\n4OjRo/ZrhYWFiI6OtpeMTkhIwIEDB3D11VcjLy8PN9xwA9555512Tag95BGp9oIqwlIF5bF7oeSv\nhWbmIq/FQERE/qFv3754/fXXcdNNNwEA/v3vf6NPnz4qR+W75LNnEXn33RBGI0RdHWSr1X6NLRGI\niJpzm+D17t0by5cvR1FREYQQiImJadU3kRaLBQaDwf5almXYbDZoNJpm1/R6PaqqqrBt2zaEh4cj\nKSmpxQTPZGp+Pk6r1Todb4+L4/+Iyr+9gLDC7xEyZFinfGZn6cx5dlWBMEeA8/QngTBHIHDm2VFT\np07F6tWrMX/+fCiKgiFDhmDKlClqh+VT7NUyi4oArRYCwI/vvgvt0aP2cbZEICJyzm2CB9QnZ7Gx\nsW36YL1eD0ujw9BCCHtiqNfrYW30DZzFYoHRaLQXb9m3bx+OHz+OnJwcZGZmIiIiwuGznZVB7szy\nyGLYtcC7G3D+by9CfmwZpFacOfSWQCgDHQhzBDhPfxIIcwTUmWeMD26/MxgM+POf/4zKykrIsuzw\nhSa516xaZm0tEBwM7dGjsIwdy4SOiMiNViV47ZGQkIAvv/wSI0eOxKFDhxAXF2e/ZjabUVxcjMrK\nSuh0Ohw4cAC33HILRowYYX/PE088gXvvvbdZcucNUlAwpN/fBfG35RBf/hfSsF96PQYiIvJNhYWF\nyMnJwfHjxyGEQEJCAh544AGufraSs2qZUk0NwpYsYXJHRNQKHkvwUlJSsHfvXsybNw9CCGRkZGDH\njh2wWq1IT0/HpEmTkJWVBUVRkJaWhsjISE+F0i7SiFSITesgcpfB9uozQKQJ0piJ9ef1iIiIXHjp\npZdw3XXXIS0tDUIIfPTRR3j55Zcxf/58tUPzCayWSUTUMa1K8M6ePYvKykoIIexj8fHxLd4jyzKm\nTZvmMNa45UFycjKSk5Nd3v/EE0+0JjSPEQWfApUVgKLUD5SdhchbAQVgkkdERC7V1NTghhtusL++\n+eabsXXrVhUj8i1Kjx7QONkKzGqZRESt4zbBW7duHbZs2YJu3brZxyRJQk5OjkcDU5vYlAfU1ToO\n1lRDbMqD0nC9rJQre0RE5CAqKgrfffcdEhISAAAnT55EVFSUylH5Bs3330O6eBFCkiA1+lKZ1TKJ\niFrPbYK3c+dOvPDCC11uC6XHlbkoJFB2FmLNiz8lf1zZIyKiRsrKyvDEE0+gT58+kGUZx48fR0RE\nBB555BEAwLJly1SOsGuSLlxA5B//CISEoGL2bBhzc1ktk4ioHdwmeCaTKfCSOwCINAFlZ51fc7Gy\nByZ4REQBb+LEiWqH4DMat0MQISGQqqvx48aNqLnmGlxscsyDiIhax22CN2jQIKxbtw7JyckIDg62\nj7s7g+frpDETIfJWADXVPw0Ghzi+bszVih8REQWUgQMH4vDhw9izZw9sNhsGDx6MgQMHqh1Wl9O0\nHYJktUIEBUHzww8qR0ZE5NvcJnjbtm0DUL9Vs0EgnMGTR6Q6PWtX/9rJyl4ky18TERGwfft2bNiw\nAcOHD4eiKFi+fDnGjx+P9PR0tUPrUpy2Q6itZTsEIqIOcpvgrVixwhtxdEnyiNRm2y4VoPnKXlAw\npDHckkNERMDmzZvx9NNPo3v37gCAP/zhD8jKymKC1wTbIRAReYbbBM9qtWLdunX4+uuv7VtNJk+e\nDIPB4I34uhzHlb1LK3lJw1lghYiIAABCCHtyBwCRkZGQZdntfYqiIDc3FydOnEBQUBCmT5+O6Ojo\nZu9buXIlQkNDMWHChE6N29ts0dHQFhc3H2c7BCKiDnH7xFmzZg1qa2sxa9YszJ49G5IkYfXq1d6I\nrcuSR6RCs/Q1aFa9B1xxFXBwL0S1Ve2wiIioCwgNDcWuXbvsrwsKCmA0Gt3et2vXLtTW1iIrKwt3\n3XUX1q5d2+w9H374IU6ePNmp8apCUaCYTBBNh9kOgYiow9wmeEeOHMGMGTPQt29fxMfH47777sPR\no0e9EZtPkH93J3ChHGLbv9QOhYiIuoCpU6di7dq1mDFjBmbMmIG8vDxMmTLF7X0HDx5EUlISAGDA\ngAHNnrXfffcdDh8+7NBE3VeFvvwygvftg2XsWNSZzRCShDqzGeXZ2Tx/R0TUQW63aNpsNiiKYt9e\nIoRo1VaTQCH9LBEYmATx73yI1FGQQkLUDomIiFRUXFyM5cuXo6ioCEIIxMTEQKPRuL3PYrE4HH+Q\nZRk2mw0ajQbnzp3DW2+9hUceecSh6JkzJlPzol9ardbpuBqkbdugXbIEtnHjoF23DookQbl0zXjp\nV3t0pTl6EufpPwJhjgDnqYZWtUn461//av/G8MMPP8QVV1zh8cB8ify7O6AsnQPxn39BuvEPaodD\nREQq2rBhA4YNG4bY2Ng23afX62FpVFVSCGFPDHfu3ImKigosXrwY58+fR3V1NcxmM1JTU5t9Tmlp\n87Y9JpPJ6bi3NO53B0mCzWTC2awsiB9/7LQ/Q+05egvn6T8CYY4A5+kpMS2cV3ab4N1zzz14++23\nsWHDBgghMGTIEIzl9gkH0uUDgZ8PgdjyNsSvb+YqHhFRAIuLi0N+fj4SExOh0+ns4+76xyYkJODL\nL7/EyJEjcejQIcTFxdmvjRo1CqNGjQJQ376osLDQaXLXFTXtdwchoCkvh+6DD7gdk4jIA9wmeBqN\nBrfddhtuu+02b8Tjs+TRd0B55lEosycDVVX2vnmsrklEFFgOHz6Mw4cPY+vWrfax1vSPTUlJwd69\nezFv3jwIIZCRkYEdO3bAarX6dIsFp/3uqqvZ746IyENcJnjz58/HokWLMGnSJEiS1Oz6mjVrPBqY\nrxFlZwFJAqou1g+UnYXIWwEFYJJHRBRA2ts/VpZlTJs2zWHMbDY3e5+vrNw1YL87IiLvcpngzZw5\nEwDw7LPPNrsmRNPCxiQ25QFN/7rUVNePM8EjIvJ7FRUVyM3NRVFREQYNGoQ777wTIdyyD1uvXtA6\nSebY746IyDNclsNsaNK6atUq9OzZ0+HX8uXLvRagzyhzcajS1TgREfmVlStXwmQyYcKECTh//jzW\nr1+vdkhdQl3//s3G2O+OiMhzXK7gPfvssyguLsYPP/yARx55xD5us9mcbtkMeJEmoOys83EiIvJ7\nJSUlmDVrFgDgiiuuwGOPPaZyROoL3rEDuv/8B9Zf/xraI0egKSqCLSYGF+bM4fk7IiIPcZngTZw4\nEWfPnsXKlSsdGrTKsozevXt7JThfIo2ZCJG3Aqip/mlQliGNmaheUERE5DVa7U+P1ODg4IDvGStd\nuICIhx9GXb9+OPfaaxB6vdohEREFBJcJXlRUFKKionD55Zdj4MCB3ozJJ8kjUqHg0lm8slJArwcs\nVfWFV4iIKOAE6m4Xe8+7wkIAwIWZM5ncERF5kds2CadOnYIQImAfVG0hj0i1F1QRNhuUZx6FWP8y\nRHwCpJ7RqsZGRESeVV5ejs2bN7t8PXr0aDXC8qpmPe8AhL78Mmz9+nFLJhGRl7hN8CIiIjBz5kz0\n79/foWFr422b1Jyk0UD+08NQFmRAWZAB1NnYG4+IyI8NHjwYJ0+edPk6EDjreSdbLOx5R0TkRW4T\nvA8ZWhIAACAASURBVAEDBmDAgAHeiMXviCMH6lsn1NXVD7A3HhGR38rIyFA7BNWx5x0RkfrcJnjj\nx4+H1WrFsWPHUFdXh/79+0PPvfStIjbl/ZTcNWBvPCIi8lNKVBQ0P/zQbJw974iIvMdtgnfkyBE8\n88wz6NatGxRFwY8//og5c+YgISHBG/H5Npe98c7CtvNj4J319e/h1k0iIvIDtshIyD/8gMan9tnz\njojIu9wmeHl5eXjggQcwaNAgAMD+/fuxdu1aZGVleTw4n+eqNx4A/G15/fZNgFs3iYjI54Vs3Yrg\nAwdQNWYMggsK2POOiEglbpv0VFVV2ZM7ABg0aBCqq6tbuIMaSGMmAsEhjoPBIUCI/qfkrkHD1k0i\nIvJ5n3/+Od544w1UV1djx44daofjebW1CF+4EHXx8Tj/3HM4U1CA4tOncaaggMkdEZGXuU3wZFnG\n2bM/rUKdOXMm4Ju3tpY8IhXSxPuByJ4AJCCyZ/3raqvzG8rOQvl8G2yZU2G79/ewZU6F8vk2b4ZM\nREQd9M477+CDDz7Azp07UVNTg7feegtvvfWW2mF5lPH11xF09CjKH38cCA5WOxwiooDmdovmrbfe\nirlz5+LKK6+EEAL79u3D1KlTvRGbX2jcG6+BbVOey62b4vXlgM1W/6LR1k2gvmjLD+dKge48s0dE\n1FV99tlnePrppzF37lyEhYUhKysL8+bNw7hx49QOzSPkH39E2HPPwZqaiurrr1c7HCKigOc2wUtJ\nSUFsbCz2798PIQTGjh2L2NhYb8Tmt6QxEyHyVgA1jba6BgUBivJTctegphpi/cuArQ6ora0f45k9\nIqIuS6vVIigoyP7aaDRCo9GoGJFn6PPzEbZkCTSFhQCA6muuASTJzV1ERORprdprWVJSgsLCQpSU\nlKC8vNzTMfk9p1s3Jz0A2BTnN1gtPyV3DXhmj4ioS+rRowe++uorSJKE2tpa5Ofnw2QyqR1Wp9Ln\n56Pb7NnQFhZCAiABCHvuOejz89UOjYgo4LlN8N58803k5eXBYDAgJCQEr776Kt5//31vxObX5BGp\n0Cx9DZpV70Kz9LX6lbjINv4PgKs2DEREpJopU6Zg8+bNOHHiBCZOnIivv/4af/rTn9QOq1OFLVkC\n2WJxGJMtFoQtWaJSRERE1MDtFs1PP/0US5cuhcFgAACMHj0a8+fPx6hRozweXKBxunUzOAQICgYu\nXmh+Q3AwbNv/DfzzTfbTIyLqInQ6HRYsWIDq6mooigK9Xq92SJ1OU1TUpnEiIvIetyt4YWFh0Ol0\n9tdGo9HhNXUeV1U3pTvubd5uQaOpTwTzVlwq2CJ+OpvHyptERKq5//77kZOTg2PHjvllcgcAtpiY\nNo0TEZH3uF3Bi4+PR3Z2Nm644QZoNBps374dPXr0wBdffAEAGD58uMeDDCTOqm4CgIL6KppoVEVT\n/H01UHHe8Y011RBvrLpUqZOrekRE3rZixQrs2LEDeXl5qKqqwnXXXYfU1FSEh4erHVqnqR45Etq/\n/91hTNHrcWHOHJUiIiKiBm4TvMJL1bE2b97sML5lyxYArhM8RVGQm5uLEydOICgoCNOnT0d0dLT9\n+u7du/H2229DlmWkpaUhPf3/t3fvYVGW+R/H3zMDyCAgIimCpzXDw25pSWRlm7pqu7Z7bUultpYd\nTCtPHTRl00orVt3V2lJKV7LSbFdLrdby1+5q1EW75iFdS01KSws1NUJBhsPMPL8/iJHDDDByGHj4\nvK6r62Luh2f4fhG9+3I/9/0ditPp5IUXXuDkyZOUlJRw4403kpiYeN7JmUlZ4RcTE8OpU6V771wv\nPuP9k8/mnXukUyduiog0qrCwMIYPH87w4cP5+uuvWb58OWvWrGH16tWBDq1eWM6cIXTzZkp69MDi\ncGA7ehRXXBx5KSlqai4i0gTUWOA9/vjjALhcLgzDICioxlsA2L59OyUlJaSmppKVlcXKlSuZMWMG\nAE6nk1deeYV58+YRGhrKo48+SmJiIrt27SIiIoIpU6aQn5/Pww8/rAKvOtExPvvpVfDjiZueVUCt\n7ImINKhDhw6RkZHBf//7X3r06MGDDz4Y6JDqTXhaGracHHJWr6bkkksCHY6IiFRSY7V2+vRp0tLS\n+Oyzz3C5XPTp04cpU6YQHR1d7X2ff/45/fr1AyAhIYGDBw96rmVnZxMbG0t4eDgAPXv2ZP/+/Vx5\n5ZUMGDAAAMMwTNk3qD55PZTFl5yTGC89C27fTdRV+ImI1N306dMpKipi8ODBLFiwoMb5sjmxffst\n4cuXU5CcrOJORKSJqrHAe/HFF7nooou4//77cbvdbNq0ifT0dM9qnC8Oh8Nz8iaA1WrF5XJhs9mq\nXLPb7RQUFHgOb3E4HDz99NOMHj3a63t76ycUFBRkuj5D3lTI89c34YiIIH/1UtynTmCNaY9RWIiR\n56NXodtLE/VXXwDDBcXFpWM5JzFeTaN1RAT2a69ruESq0SL/LE2sJeTZEnKElpNnXY0dO5ZLTFr8\nRCxYABaL9tqJiDRhNRZ4x44d46GHHvK8HjlyZIXXvtjtdhzleuSUX5Gz2+0UFhZ6rjkcDlq3bg3A\nqVOnWLhwIcOHD2fgwIFe37tsD1p55femmVmVPH/aH8sfl1O21mlszSg9WbNyqwVfq3xFDi9jRZxZ\n+Txnf9q/vsL2S4v9szSplpBnS8gRApNnXDM6lfGtt97it7/9LTt27GDHjh1Vrt91110BiKr+BO/e\nTdj69eRNnowrPj7Q4YiIiA81tklwuVwUl63uAEVFRVgslhrfuGfPnuzatQuArKwsunTp4rkWHx/P\nsWPHyM/Px+l0sn//fhISEsjNzSU1NZUxY8YwZMiQ88mnxfPVaqH0tR9yTuHemoFr5jhc43+La+Y4\ntV8QEalG2ZMpERERVf5rzido2tevp31SEjHXX49hteLs2jXQIYmISDVqXMG76qqrePLJJxk8eDAA\n77//fq1aIyQlJbFnzx5mz56NYRhMnDiRzMxMCgsLGTp0KGPHjiU1NRW3283gwYOJjo7mpZdeIj8/\nn3Xr1rFu3ToAHnnkEUJCQuqYZsvirdWCG/xroo6B8fKz4Kq6Z0/780REqho2bBgAbdq0Yfjw4RWu\nvfnmm4EIqc7s69fTZsYMrGVP5LjdtHnsMQgN1YmZIiJNVI0F3k033US7du3YvXs3hmEwaNCgWq2u\nWa1WJkyYUGEsvtwjHYmJiVVOyLzzzju58847axu7+ME6YJDXUzTBS+EXFAyG+1xxV0Y99kREfPrn\nP/9JcXEx77zzToUnX5xOJ5s2beKGG24IYHTnJ2L+/HPF3Y+sDgcR8+erwBMRaaJqLPCeeOIJHnvs\nMc8KnjRfNTZRL1e0GX722MPLe6jwE5GWJCgoiC+//JKioiKOHDniGbdarc12/53t6FG/xkVEJPBq\nLPDOnj1LYWGh54RLMR9vhV/pKl0te+z9fTmUFJ9bBaxF4efemqGCUERMZciQIQwZMoRt27aRlJQU\n6HDqhSsujqDsbK/jIiLSNNVY4IWGhjJp0iS6dOlSocibOXNmgwYmgeVXjz1ve/iKizBeWwpOZ2nx\nB57Cz/XlfvjvFq8FoYo8EWnuevXqxcaNGz2nRbvdbo4fP87UqVMDHJn/Cn/1K8LT0yuMue12tUkQ\nEWnCaizw9Ghmy+Rtzx5FhT4OZPHBUVB1rLgIPtjkdbxsf993P5yCtlrtE5Hm6ZlnniEkJIRvv/2W\niy++mE8//ZRevXoFOiz/GQYhW7fiionBaNUK29GjuOLiyEtJ0f47EZEmrNoC78iRI9jtdi666CKi\no6MbKyZpIio/uunemuHnSZx+8rK/r7rVPtC+PxFpek6dOsXixYtJT09n6NChjBw5kkWLFgU6LL+1\n2ryZkM8+44enn8YxalSgwxERkVryWeC9//77rFy5ko4dO/Ldd98xdepU+vbt25ixSRPj10mc1RV+\nViu43VXHK6tute+1ZeBy6jFPEWlyoqKiAIiNjeWbb77hmmuuwV2bf/OaEsMg4i9/wdm5s1brRESa\nGZ8F3qZNm1i0aBHR0dFkZWXxt7/9TQWe+HUSJ/go/K4cUnFV7nw4zlYdKy7C2LDKdyxa7RORRhAZ\nGcnbb79NQkICa9euxW63U1Dg5ZH1JqzVhx8SsmsXuQsWQHBwoMMRERE/VPuIZtljmQkJCZw5c6ZR\nApLmyZ/CzzpgEO4evWu3v6+2q31lck5ivPQsuMs1aH/5WcBSuuJXNqbHPEWkgUyYMIGPPvqIXr16\n0b17d9auXcuYMWMCHVbtGQbhzzyDq2NHCm6+OdDRiIiIn3wWeBaLpcJrm83W4MGI+fgq/Gq9v8/b\nal9N+/7clRq0V27YDufd3kFEpCZt2rRhxIgRANx6660Bjqb27OvXEzF/PrajR7EYBmdvvhlatQp0\nWCIi4qcaT9EsU7ngE6lPFfb3VT5Fs9JqX7WPf/rz2KfP9g7LwFlSpb2D+vqJSHXGjh1b7Vz5yiuv\nNGI0/rGvX0+bGTOwOhznxjZupPjnP9cePBGRZsZngXf48GFuv/12z+uioiJuv/12DMPAYrE06YlK\nmqeyVb2YmBhOnTpVZbwyb49/GrVt0F4dX/v7VqWVPi7qLCkdU18/ESmnOZ6UWSZi/vwKxR2A1eEg\nYv58FXgiIs2MzwJv8eLFjRmHiN+8FX5uvKzs2WxU2IMH59fewdvqYC36+vla7avc709EmrcLLrgA\ngEOHDlV7vSmyHT3q17iIiDRdPgu8pjwRifhSbSuHurZ38Jf6+om0SOVX8pxOJ7m5uXTv3p158+YF\nMKrqueLiCMrO9jouIiLNS6334Ik0F74e6axze4eG7Ovn54Ev3sZUDIo0DWlpaRVeZ2VlsWXLlgBF\nUzt5KSlEPfQQlpISz5jbbicvJSWAUYmIyPlQgSctWpPp6+frwJfVL5Q+WlpSbt+f2j6INCsJCQm8\n+OKLgQ6jWo7kZMKffZagr74CtxtXXBx5KSnafyci0gypwBPxosn09St0VB3z1fahnk7/9PW5IlI7\nlffgHTx4kOLi4gBFUzu27GyCv/ySM9Onk//gg4EOR0RE6kAFnogfAtLXr7Z8nf65cjEYBjgrrvh5\n3Q+o1UGROiu/B89isRAZGcndd98dwIhqZt+wAUArdiIiJqACT6QB+DrspcJqX7lTNKEBD3wpt6fG\nw9d+wOpWB11Ovw6H0Wmh0lJV3oPX5BkG9nXrKLr8clxduwY6GhERqSMVeCINpKbVvsr9/mq976++\n2j74w9fq4Cs/rg66arE6WDb+6Q6tAoqp5ebmkpGRQX5+foXxW2+9NUARVS9o716Cs7LIbcKnfIqI\nSO2pwBNpIvw+8KWxTv+sjtOP1cHK4+e5R7C6cZGmYMGCBbRr144OHTr4dZ/b7SY9PZ3Dhw8THBzM\nvffeS2xsrOd6ZmYm7777Ljabjc6dO3P33XdjtVrrHG/YG29gBAfj+M1v6vxeIiISeCrwRJq4Bmv7\n4G0/YGOvDhYXYbz8XOnH/qwC+tFL0NuYikFpSE6nk+nTp/t93/bt2ykpKSE1NZWsrCxWrlzJjBkz\nACguLmbNmjUsXLiQVq1a8Ze//IVPPvmExMTEugaL/a23KPzFLzDatq3be4mISJOgAk/EROp6+mdA\nVgfLF5Nlql0F/D/AqDJuvLa09CCZ8qeInsehMVodlLrq3r07R44coUuXLn7d9/nnn9OvXz+gtLXC\nwYMHPdeCgoJ48sknadWqFVC62hccHFznWFtlZmI7cQLHjTfW+b1ERKRpUIEn0gLU9vRPj6bQG9An\nw/uwo6DqmK9DY1amgeGqeLLoyiW4DnwK2z70e3Ww8kEyKhJbtp49ezJjxgzatm2LzWbzjC9ZsqTa\n+xwOB2FhYZ7XVqsVl8uFzWbDarUSFRUFwKZNmygsLOSSSy7x+j4xMTFVxoKCgryO2zZuxIiKInzU\nKMJ/LB6bK185mo3yNI+WkCMoz0BQgScitXLeq4M/Fj9cnOhfiwhfq4D1sXewxEvhWVIMmf+qOl5c\nhLFyCRjuigWhj9VBfx8hVT9C83n99deZOnVqhf1ztWG323E4zvW+NAyjQoHodrt59dVXOXbsGNOm\nTcNisXh9n/KHN5WpfKgTgOXsWTq8+SYFycmczsuDvAY6pKmReMvRjJSnebSEHEF5NpS4uDif11Tg\niUid+HNaqM9HQv3pGdiQvQR9KXvsszwfq4N8+H+lJ4tWGjf+tqy0QKzNnkL1I2zWwsPDueqqq/y+\nr2fPnuzcuZOrrrqKrKysKo94/vWvfyU4OJiHH364Toer2NevJ2L+fGzZ2VgA1wUXnPd7iYhI06MC\nT0QaTX3sEax272BdW0rUx+pg5eKuTIH3VhNe9xT6erT078tLi00/Vgel8V122WWsXLmSAQMGEBR0\nbprt3r17tfclJSWxZ88eZs+ejWEYTJw4kczMTAoLC+nevTvvv/8+vXr14oknngBgxIgRJCUl+RWb\nff162syYgbXcSmH4smW4LrxQTc5FRExCBZ6IBJy/ewQbrKVEfawOWqylj3PWmo+C0BtvMZxHI3pv\nYyoG609mZiYAH3/8sWfMYrHUuAfParUyYcKECmPx8fGej9esWVPn2CLmz69Q3AFYHQ4i5s9XgSci\nYhIq8ETENOp6aEy9rA76WyTWx6qhr0b0q9JK37usX6Ee/2wUaWlpgQ7BJ9vRo36Ni4hI86MCT0Ra\npHpdHax8imZd9xrWVz9Cb6eYnsfjnyry/LNx40av47/+9a8bOZKqXHFxBGVnex0XERFzUIEnIlIL\n1a0OVj45q8n0I/SHr8c/N6zyxF3bdhAtvU3EkSNHPB87nU7279/PT3/60wBGdE5eSgptHn4Ya2Gh\nZ8xtt5OXkhLAqEREpD6pwBMRaSSN3o+wPgq/nJMYryyu+JhnNe0gqmsT0VKKvIkTJ1Z4febMmRr3\n3zUWR3IywTt3Ev7yyxgWC664OPJSUrT/TkTERFTgiYg0I34/QlrXk0XhXHFXprgIPthU9fOqGTc2\nrPJexLYAkZGRnDx5MtBheFh/+AFXTAzfffLJjz8PIiJiJirwRERMoMFOFvW2j+985Ji/yW2Z8nvw\nDMPg4MGDREZGBjCicoqLCd2yBcf116u4ExExKRV4IiImVtfHP0tfe1l98nX6p6/x6Bg/I2++yu/B\nA4iJieG2224LUDQVtdq6FWteHoXXXRfoUEREpIE0WIHndrtJT0/n8OHDBAcHc++99xIbG+u5vmPH\nDtatW4fVamXw4MEMHTq0xntERKTheCsG3fjZM9DbOECHOFwzx7WIg1fK78ErKSkhODg4gNFU1Oqf\n/8QdGkrxNdcEOhQREWkg1oZ64+3bt1NSUkJqaiq///3vWblypeea0+nklVdeYdasWcydO5fNmzeT\nm5tb7T0iItL4rAMGYbltEkRfABYLRF+A5bZJ2G6979w41Yy3jYHIKNj/vx9XAo1zB69szQhscvXM\n6XSyZMkStm3b5hlbtGgRzz//PC5v7Skam2EQ+t57FF17LYbdHuhoRESkgTTYCt7nn39Ov379AEhI\nSODgwYOea9nZ2cTGxhIeHg5Az5492b9/P1lZWT7vERGRwChb2attO4jK466Zd1V9UxMevLJmzRoc\nDgc9e/b0jE2YMIH09HRef/11Ro8eHcDoIGjvXoKOHiVv2rSAxiEiIg2rwQo8h8NBWFiY57XVasXl\ncmGz2apcs9vtFBQUVHtPeTExVfdyBAUFeR03m5aQZ0vIEZSnmbSEHOH88/zuh++9X/jhlKm+b598\n8gnz5s0jJCTEMxYdHc3kyZOZPXt2wAs8+3vvYVgsFA0dGtA4RESkYTVYgWe323E4HJ7XhmF4CjW7\n3U5huSarDoeD1q1bV3tPeeV/g1ym8m+Wzaol5NkScgTlaSYtIUeoQ55tY7wf1NK25veLi4vz/+sF\nSFBQUIXirkxYWFiT2IcX+t57FCcm4jZRUS0iIlU12B68nj17smvXLgCysrLo0qWL51p8fDzHjh0j\nPz8fp9PJ/v37SUhIqPYeERFpniy/u630AJbyQlp52jOYhdVqrfBLyjIOhwOn0+nljkZ05AjBe/fq\n9EwRkRagwVbwkpKS2LNnD7Nnz8YwDCZOnEhmZiaFhYUMHTqUsWPHkpqaitvtZvDgwURHR3u9R0RE\nmjfrgEFeWzCY7RTNq6++mqVLl3LfffcRGhoKQGFhIUuXLuWKK64IaGzWH3vzFQ4fHtA4RESk4TVY\ngWe1WpkwYUKFsfj4eM/HiYmJJCYm1niPiIg0fz778ZnIiBEjWL58ORMmTKBz58643W6ys7MZOHAg\nN910U0Bjs/7jH5RceCGuCy8MaBwiItLw1OhcRESkHlitVu655x5+97vf8dVXX2GxWOjRowfR0dEB\njcty+jSWDz+kUL9AFRFpEVTgiYiI1KP27dvTvn37QIcBgH39eiIfewyL00nY66/j7N0bR3JyoMMS\nEZEGpAJPRETEhOzr19NmxgysPx78Yjt5kjYzZgCoyBMRMbEGO0VTREREAidi/nxPcVfG6nAQMX9+\ngCISEZHGoAJPRETEhGxHj/o1LiIi5qACT0RExIRcPprE+xoXERFzUIEnIiJiQnkpKbjt9gpjbrud\nvJSUAEUkIiKNQYesiIiImFDZQSoR8+djO3oUV1wceSkpOmBFRMTkVOCJiIiYlCM5GUdyMjExMZw6\ndSrQ4YiISCPQI5oiIiIiIiImoQJPRERERETEJFTgiYiIiIiImIQKPBEREREREZNQgSciIiIiImIS\nKvBERERERERMQgWeiIiIiIiISVgMwzACHYSIiIiIiIjUnVbwRERERERETEIFnoiIiIiIiEmowBMR\nERERETEJFXgiIiIiIiImERToAOrK7XaTnp7O4cOHCQ4O5t577yU2NjbQYdWbL774gtWrVzNnzhyO\nHz9OWloaFouFzp07M27cOKzW5l2jO51OXnjhBU6ePElJSQk33ngjnTp1Ml2ebrebpUuXcuzYMQDG\njx9PSEiI6fIEOH36NCkpKcyePRubzWbKHGfOnIndbgegffv2JCcnmzLPDRs2sGPHDpxOJ9dddx19\n+vQxZZ5mZfb5ETRHmiHPljQ/guZIs+TZ1OdH25w5c+YE7KvXg23btvHtt9+SkpJCXFwca9as4eqr\nrw50WPXirbfeYt26dVitVn7xi1+QlpZGcnIyo0aNYufOnbjdbuLj4wMdZp188MEHOBwOHnzwQQYM\nGMCCBQs4fPiw6fLcvn07R48eZebMmXTo0IENGzawe/du0+XpdDpJS0vj7NmzXH311axatcp0ORYX\nF7NlyxZSU1MZNGgQl19+uSn/bu7du5f//Oc/PProo/z85z9n165dZGRkmC5PMzPz/AiaI82SZ0uZ\nH0FzpFnybA7zY/Mun4HPP/+cfv36AZCQkMDBgwcDHFH96dChA9OnT/e8PnToEH369AHg0ksvZc+e\nPYEKrd5ceeWVjBo1CgDDMLDZbKbMMykpiXvuuQeAkydPEhYWZso8V61axbBhw2jbti1gzp/Zw4cP\nU1RUxFNPPcXcuXPJysoyZZ7/+9//6NKlCwsXLmTBggX079/flHmamZnnR9AcCebIs6XMj6A5EsyR\nZ3OYH5t9gedwOAgLC/O8tlqtuFyuAEZUfwYMGIDNZqswZrFYALDb7RQUFAQirHoVGhqK3W7H4XDw\n9NNPM3r0aMB8eQLYbDaWLFnCSy+9xDXXXAOYK8+MjAwiIyM9/0NZxkw5ArRq1Yrf/OY3zJo1i/Hj\nx7N48WLAfHmeOXOGQ4cO8dBDDzF+/Hiee+45DMMwXZ5mZub5ETRHgnnyNPv8CJojzZRnc5gfm/0e\nvLJ/+MqU/YbLjMp+cKB04m7dunUAo6k/p06dYuHChQwfPpyBAwfy6quveq6ZKU+AyZMnk5ubyyOP\nPEJxcbFn3Ax5vv/++wB8+umnfP311yxZsoTTp097rpshR4COHTsSGxuLxWIhLi6O8PBwDh065Llu\nljwjIiKIj48nKCiIuLg4QkJC+P777z3XzZKnmbWk+RE0RzZ3Zp4fQXNkGTPk2Rzmx2a/gtezZ092\n7doFQFZWFl26dAlwRA2nW7du7N27F4Bdu3bRu3fvAEdUd7m5uaSmpjJmzBiGDBkCmDPPDz/8kA0b\nNgAQEhKCxWKhe/fupspz7ty5zJ07lzlz5tCtWzcmT55Mv379TJUjlE7SK1euBCAnJweHw0Hfvn1N\nl2evXr3YvXs3hmGQk5NDYWEhP/vZz0yXp5m1pPkRzDl3tIQ5siXMj6A50kx5Nof5sdmv4CUlJbFn\nzx5mz56NYRhMnDgx0CE1mLFjx7Js2TKcTifx8fEMGDAg0CHV2YYNG8jPz2fdunWsW7cOgDvuuIOX\nXnrJVHkmJSXx/PPP8/jjj+N0OrnjjjuIj4833Z9nZWb8mR0yZAhpaWk8+uijWCwW7rvvPiIiIkyX\nZ//+/dm/fz+PPPIIbrebcePG0b59e9PlaWYtaX4Ec/570xLmyJY6P4I5f2ZbwhzZHOZHi2EYRkAj\nEBERERERkXrR7B/RFBERERERkVIq8ERERERERExCBZ6IiIiIiIhJqMATERERERExCRV4IiIiIiIi\nJtHs2ySIlDlx4gRTpkyp0uvpV7/6lad/UHk7duxgz5493HXXXX5/rZycHJ5++mmeeuqp84p17969\nrFixgkWLFlW55na7effdd8nMzMTlcuF0Ounfvz+jRo0iODj4vL5eU/TJJ5/wxRdfMGrUqECHIiJi\nepojmxfNkVIXKvDEVEJCQvjzn//seZ2Tk8O0adO48MIL6dq1a4XPTUxMJDEx8by+TnR09HlPXDVZ\nvnw5Z8+e5bHHHiMsLIzCwkKee+45li5dypQpUxrkawbCl19+SX5+fqDDEBFpMTRHNh+aI6UuVOCJ\nqUVHRxMbG8uxY8f46quv2LJlC0VFRYSFhXHttdeydetWUlJSmDNnDgkJCRw4cIBTp07Rq1cvp/CM\ncwAABf5JREFUJk2ahNVqZefOnfz973/HMAxatWrF+PHjCQsLY9q0aaxatYq1a9fy7bffkpuby+nT\np+natSv33nsvYWFh7Ny5kw0bNuB0Ojl9+jTXXnsto0eP9hnviRMnyMzMZNmyZYSFhQEQGhrKhAkT\nOHDgAAAFBQWkp6dz+PBhAC699FJuueUWbDYbY8aM4frrr2fnzp04HA5uvfVWtm7dypEjR2jbti0z\nZ84kNDSU0aNHM2LECPbu3UtRURG33HILV1xxBQBvvPEGH330ETabjY4dOzJu3DiioqKq/R4dOHCA\n1atXU1RUhMVi4eabb6Z///5kZGSwbds2LBYLx48fJygoiEmTJlFUVMS//vUv3G43YWFh3HLLLQ38\nkyAiIpVpjtQcKeakAk9MLSsri+PHj9OjRw8+++wzvvnmG9LS0ggLCyMjI6PC5x4/fpzHH3+coqIi\nHnjgAfbt20enTp1YvHgxc+bMoVu3bnz88ce89tpr3H333RXu/eKLL5g3bx6RkZEsXryYN954g9tu\nu42NGzcyadIkOnbsSE5ODhMnTmTEiBE+4z106BCdOnXyTFxloqKiPJPLihUriIiIYOHChTidTv70\npz/xj3/8gxtuuIGSkhKioqJYtGgRb775JsuWLeOZZ54hKiqKP/zhD+zYsYOBAwfidrsJDw9nwYIF\nHD58mMcff5zevXuzc+dOdu/ezbx58wgNDWXt2rWkpaUxa9Ysn9+jbt268fzzzzNr1izat29PTk4O\ns2bN8vw2eN++fSxatIh27dqxYsUK3n77bSZPnsywYcPIy8vTxCUiEiCaIzVHijmpwBNTKS4u5uGH\nHwZKn9OPiIhg6tSpxMTEANC1a9cqE0OZxMRErFYrdrud2NhY8vPzOXDgAJ07d6Zbt24AXHHFFVxx\nxRWcOHGiwr0DBgwgKioKgCFDhvDyyy8zduxYZs6cyc6dO8nMzCQ7OxvDMCgqKvIZv9VqxTCManPc\nvXs3Tz75JBaLheDgYIYNG8Y777zDDTfc4IkFIDY2li5duhAdHQ1A+/btKzzu8ctf/tLzPenSpQv7\n9u1j165dDBo0iNDQUABGjBjB+PHjcTqdPr9HWVlZ5ObmVnjsB/D89rR79+60a9cOgJ/85Cd8/PHH\n1eYnIiINQ3Ok5khpGVTgialU3l9QWdk/yr7uLWOxWACw2WyejwEMw+DIkSPY7fYK99pstgqfY7Va\nKSwsZMaMGSQlJdGrVy8GDx7M9u3bq52cevToQXZ2Ng6Ho8LXyMnJYdmyZUybNq3K/W63G5fL5Xkd\nFHTur3X5uCrzFnPl9zYMA5fL5Rn39j1yu93Ex8fzxz/+sUK8kZGRZGZmer1HREQan+ZIzZHSMqhN\ngkg1yiaTb775BoDt27ezePHiKp+3fft2CgoKcLvd/Pvf/6Z///4cP34ch8PB6NGjSUxMZN++fZSU\nlOB2u31+vejoaAYOHMgLL7xAQUEBcG4/QUREBCEhIfTt25f33nsPwzAoKSlh8+bNXHLJJX7n9sEH\nHwClj7xkZ2fTp08f+vbtS0ZGBoWFhQBs2rSJ3r17V3syWUJCAseOHWPfvn0AfP3119x///388MMP\n1X59m81WYdIVEZHmRXOk5khpmrSCJ1KNqKgopkyZQlpaGi6Xi7CwMB544AGvnzdv3jzOnDlD7969\nSU5OJigoiMsuu4wHHniA1q1b06FDBzp16sTx48ernQzuvvtu1q1bx6OPPorVasXpdHL55ZczcuRI\nAO68805WrFjB9OnTcTqd9O3bl+TkZL9zO3DgAJs3b8btdvPAAw8QHh7OkCFD+P7773nkkUcwDIMO\nHTowderUat8nMjKSadOm8eqrr3om58mTJ3PBBRdUe9/FF1/MwoULCQoKOq9juEVEJLA0R2qOlKbJ\nYtT0MLOIVGvt2rXk5eUxbty4QIdSayNHjiQ9PZ3IyMhAhyIiIiamOVKk8ekRTREREREREZPQCp6I\niIiIiIhJaAVPRERERETEJFTgiYiIiIiImIQKPBEREREREZNQgSciIiIiImISKvBERERERERM4v8B\n9agvclPfV/MAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x122a97080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# scree plot\n",
    "fig , (ax1,ax2) = plt.subplots(1,2, figsize=(15,5))\n",
    "\n",
    "# Left plot\n",
    "ax1.plot(pca.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(pca.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": {
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "<a id='lab-10.6.2'></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "### Lab 10.6.2 Clustering the Observations of the NCI60 Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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R6veuJEjdtKuw9rWs160w5bVuheUJTT8NUAghhBBCCCGEEEI8XaSzSgghhBBC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v3eyIi/4boy6jmoPjw9B8V/+7KyKmKYOfPW3phUl9pyOxr7nFv5b9DYda+hqU54NiP89huL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\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Tw8mTJwkNDaW+vp7Dhw/zxBNPAODr60twcDDBwcE8/vjj5OTksHjxYpf2HRMTQ0FBAf7+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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x122f957b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# dendrogram\n",
    "fig, (ax1,ax2,ax3) = plt.subplots(1,3, figsize=(20,20))\n",
    "\n",
    "for linkage, cluster, ax in zip([hierarchy.complete(nci60_data), hierarchy.average(nci60_data), hierarchy.single(nci60_data)],\n",
    "                                ['c1','c2','c3'],\n",
    "                                [ax1,ax2,ax3]):\n",
    "    cluster = hierarchy.dendrogram(linkage, labels=nci60_data.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": 31,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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8mbq6OqZPn052djavv/46AMePH6egoIBHH32UU6dOsWbNGqKjo937DRo0iEce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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x122fb2ac8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Cut dendrogram with complete linkage\n",
    "plt.figure(figsize=(10,20))\n",
    "cut4 = hierarchy.dendrogram(hierarchy.complete(nci60_data),\n",
    "                            labels=nci60_data.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": {
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "**KMeans**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "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": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.random.seed(2)\n",
    "km_nci60 = KMeans(n_clusters=4, n_init=50)\n",
    "km_nci60.fit(nci60_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "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": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "km_nci60.labels_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0     8\n",
       "1    23\n",
       "2    24\n",
       "3     9\n",
       "dtype: int64"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Observations per KMeans cluster\n",
    "pd.Series(km_nci60.labels_).value_counts().sort_index()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "**Hierachical**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXEAAAD1CAYAAACm0cXeAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nA4DBCHEAMBghDgAGI8QBwGCEOAAY7P8BDUKneMifFuAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11994c2b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Observations per Hierarchical cluster\n",
    "nci60_cut = hierarchy.dendrogram(hierarchy.complete(nci60_data), truncate_mode='lastp', p=4, show_leaf_counts=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ERES6k3Y/p2/MmDGUl5eTnJzMyZMnmTZtGp999hlhYWEtll/79Onj/O9Nmzax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\nok9EREQkCPz/ef0+EkmJmZYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1241477f0>"
      ]
     },
     "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(nci60_pca.iloc[:,:5]), labels=nci60_labs[0].values, orientation='right', color_threshold=100, leaf_font_size=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": false,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x124a42b38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "hierarchy.dendrogram(hierarchy.complete(nci60_pca), truncate_mode='lastp', p=4,\n",
    "                     show_leaf_counts=True);"
   ]
  }
 ],
 "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": "3.6.0"
  },
  "name": "Chapter 10 Unsupervised Learning.ipynb"
 },
 "nbformat": 4,
 "nbformat_minor": 2
}