cap06/CH6EJ2-Analisis-de-componentes-principales.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div style=\"width: 100%; clear: both;\">\n",
    "<div style=\"float: left; width: 50%;\">\n",
    "<img src=\"http://www.uoc.edu/portal/_resources/common/imatges/marca_UOC/UOC_Masterbrand.jpg\" align=\"left\">\n",
    "</div>\n",
    "<div style=\"float: right; width: 50%;\">\n",
    "<p style=\"margin: 0; padding-top: 22px; text-align:right;\"><a href=\"http://www.editorialuoc.cat/mineria-de-datos\" target=\"_blank\">Minería de datos: Modelos y algoritmos</a></p>\n",
    "<p style=\"margin: 0; text-align:right;\">Estudios de Informática, Multimedia y Telecomunicación</p>\n",
    "<p style=\"margin: 0; text-align:right; padding-button: 100px;\">Universitat Oberta de Catalunya (<b>UOC</b>)</p>\n",
    "</div>\n",
    "</div>\n",
    "<div style=\"width:100%;\">&nbsp;</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# CH6EJ2 Extracción Componentes Principales"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. Cargamos y/o instalamos las librerias necesarias"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Loading required package: devtools\n",
      "\n",
      "Warning message in library(package, lib.loc = lib.loc, character.only = TRUE, logical.return = TRUE, :\n",
      "“there is no package called ‘devtools’”\n",
      "also installing the dependencies ‘xml2’, ‘roxygen2’, ‘rversions’\n",
      "\n",
      "\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "  There are binary versions available but the source versions are later:\n",
      "          binary source needs_compilation\n",
      "xml2       1.2.5  1.3.2              TRUE\n",
      "roxygen2   7.1.0  7.1.1              TRUE\n",
      "rversions  2.0.1  2.0.2             FALSE\n",
      "devtools   2.2.2  2.3.2             FALSE\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "installing the source packages ‘xml2’, ‘roxygen2’, ‘rversions’, ‘devtools’\n",
      "\n",
      "\n",
      "Warning message in install.packages(\"devtools\", dependencies = c(\"Depends\", \"Imports\"), :\n",
      "“installation of package ‘xml2’ had non-zero exit status”\n",
      "Warning message in install.packages(\"devtools\", dependencies = c(\"Depends\", \"Imports\"), :\n",
      "“installation of package ‘roxygen2’ had non-zero exit status”\n",
      "Warning message in install.packages(\"devtools\", dependencies = c(\"Depends\", \"Imports\"), :\n",
      "“installation of package ‘rversions’ had non-zero exit status”\n",
      "Warning message in install.packages(\"devtools\", dependencies = c(\"Depends\", \"Imports\"), :\n",
      "“installation of package ‘devtools’ had non-zero exit status”\n",
      "Loading required package: devtools\n",
      "\n",
      "Warning message in library(package, lib.loc = lib.loc, character.only = TRUE, logical.return = TRUE, :\n",
      "“there is no package called ‘devtools’”\n"
     ]
    }
   ],
   "source": [
    "if(!require(devtools)){\n",
    "    install.packages('devtools', dependencies=c(\"Depends\", \"Imports\"), repos='http://cran.es.r-project.org')\n",
    "    require(devtools)\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. Cargamos los datos de un directorio local."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "Alumnos_usos_sociales <- read.csv(\"../data/B2.332_Students.csv\", comment.char=\"#\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. Cálculo de los componentes principales"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 6 × 3</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>G1</th><th scope=col>G2</th><th scope=col>G3</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>1</th><td> 0</td><td>11</td><td>11</td></tr>\n",
       "\t<tr><th scope=row>2</th><td> 9</td><td>11</td><td>11</td></tr>\n",
       "\t<tr><th scope=row>3</th><td>12</td><td>13</td><td>12</td></tr>\n",
       "\t<tr><th scope=row>4</th><td>14</td><td>14</td><td>14</td></tr>\n",
       "\t<tr><th scope=row>5</th><td>11</td><td>13</td><td>13</td></tr>\n",
       "\t<tr><th scope=row>6</th><td>12</td><td>12</td><td>13</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 × 3\n",
       "\\begin{tabular}{r|lll}\n",
       "  & G1 & G2 & G3\\\\\n",
       "  & <int> & <int> & <int>\\\\\n",
       "\\hline\n",
       "\t1 &  0 & 11 & 11\\\\\n",
       "\t2 &  9 & 11 & 11\\\\\n",
       "\t3 & 12 & 13 & 12\\\\\n",
       "\t4 & 14 & 14 & 14\\\\\n",
       "\t5 & 11 & 13 & 13\\\\\n",
       "\t6 & 12 & 12 & 13\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 × 3\n",
       "\n",
       "| <!--/--> | G1 &lt;int&gt; | G2 &lt;int&gt; | G3 &lt;int&gt; |\n",
       "|---|---|---|---|\n",
       "| 1 |  0 | 11 | 11 |\n",
       "| 2 |  9 | 11 | 11 |\n",
       "| 3 | 12 | 13 | 12 |\n",
       "| 4 | 14 | 14 | 14 |\n",
       "| 5 | 11 | 13 | 13 |\n",
       "| 6 | 12 | 12 | 13 |\n",
       "\n"
      ],
      "text/plain": [
       "  G1 G2 G3\n",
       "1  0 11 11\n",
       "2  9 11 11\n",
       "3 12 13 12\n",
       "4 14 14 14\n",
       "5 11 13 13\n",
       "6 12 12 13"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "Call:\n",
       "princomp(x = X)\n",
       "\n",
       "Standard deviations:\n",
       "   Comp.1    Comp.2    Comp.3 \n",
       "5.6158957 1.4529456 0.9728683 \n",
       "\n",
       " 3  variables and  1044 observations."
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "Importance of components:\n",
       "                          Comp.1     Comp.2     Comp.3\n",
       "Standard deviation     5.6158957 1.45294560 0.97286827\n",
       "Proportion of Variance 0.9116216 0.06102042 0.02735802\n",
       "Cumulative Proportion  0.9116216 0.97264198 1.00000000\n",
       "\n",
       "Loadings:\n",
       "   Comp.1 Comp.2 Comp.3\n",
       "G1  0.485  0.808  0.335\n",
       "G2  0.567        -0.824\n",
       "G3  0.666 -0.589  0.457"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# X contiene las variables que queremos trabajar\n",
    "X <- Alumnos_usos_sociales[,c(31:33)]\n",
    "head(X)\n",
    "\n",
    "# Calculamos la componentes principales\n",
    "Xpca <- princomp(X)\n",
    "\n",
    "# Observamos el resultado\n",
    "Xpca\n",
    "summary(Xpca, loadings=T)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4. Visualizamos la varianza"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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ECAAAECBAgQIECAAAECBAgQIECAAAEC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\ngQDfn8PeuwzIEwAAAABJRU5ErkJggg==",
      "text/plain": [
       "Plot with title “Xpca”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "screeplot(Xpca)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5. Revisamos los *scores*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A matrix: 6 × 3 of type dbl</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>Comp.1</th><th scope=col>Comp.2</th><th scope=col>Comp.3</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>-5.802002</td><td>-8.8581402</td><td>-3.7138284</td></tr>\n",
       "\t<tr><td>-1.440158</td><td>-1.5872269</td><td>-0.6958595</td></tr>\n",
       "\t<tr><td> 1.813841</td><td> 0.2505845</td><td>-0.8800902</td></tr>\n",
       "\t<tr><td> 4.682246</td><td> 0.6894117</td><td>-0.1187202</td></tr>\n",
       "\t<tr><td> 1.995246</td><td>-1.1466402</td><td>-0.7582065</td></tr>\n",
       "\t<tr><td> 1.912897</td><td>-0.3405204</td><td> 0.4008403</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A matrix: 6 × 3 of type dbl\n",
       "\\begin{tabular}{lll}\n",
       " Comp.1 & Comp.2 & Comp.3\\\\\n",
       "\\hline\n",
       "\t -5.802002 & -8.8581402 & -3.7138284\\\\\n",
       "\t -1.440158 & -1.5872269 & -0.6958595\\\\\n",
       "\t  1.813841 &  0.2505845 & -0.8800902\\\\\n",
       "\t  4.682246 &  0.6894117 & -0.1187202\\\\\n",
       "\t  1.995246 & -1.1466402 & -0.7582065\\\\\n",
       "\t  1.912897 & -0.3405204 &  0.4008403\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A matrix: 6 × 3 of type dbl\n",
       "\n",
       "| Comp.1 | Comp.2 | Comp.3 |\n",
       "|---|---|---|\n",
       "| -5.802002 | -8.8581402 | -3.7138284 |\n",
       "| -1.440158 | -1.5872269 | -0.6958595 |\n",
       "|  1.813841 |  0.2505845 | -0.8800902 |\n",
       "|  4.682246 |  0.6894117 | -0.1187202 |\n",
       "|  1.995246 | -1.1466402 | -0.7582065 |\n",
       "|  1.912897 | -0.3405204 |  0.4008403 |\n",
       "\n"
      ],
      "text/plain": [
       "     Comp.1    Comp.2     Comp.3    \n",
       "[1,] -5.802002 -8.8581402 -3.7138284\n",
       "[2,] -1.440158 -1.5872269 -0.6958595\n",
       "[3,]  1.813841  0.2505845 -0.8800902\n",
       "[4,]  4.682246  0.6894117 -0.1187202\n",
       "[5,]  1.995246 -1.1466402 -0.7582065\n",
       "[6,]  1.912897 -0.3405204  0.4008403"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "head(Xpca$scores)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 6. Visualización de los resultados de PCA \n",
    "\n",
    "Creamos un gráfico con dos ejes: \n",
    "- Comp. 1 \n",
    "- Comp. 2\n",
    "\n",
    "Los colores indican en verde supera la asignatura y en rojo no supera."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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9asf+M8EEAAAQQQQACBqhS41M9aN1wKiOLHIn/zVPwh71VD8db48+S88q5+rPcv\nzPHnzZ18PubtdJy5PV3+kUcs8GuzA+608I13raZlnU/EX2JR800WPuf1RYdUxd/ntWsCx5uN\nvcOTwinpQVP7c4e/3mnRm16nXtgOj7Mt/ONiq2lW21WeZlttV/vrJRbM7tDQP2jb91m0qNnb\nrPA271hNk96/bNE2T9PtcVb3H/4P94vL/Di0rQssmDnVgu/q2LQu0lbfxzkW+jJJPBBAAAEE\nEECglwV0D6t72cN6ebtsrg8ECgVIa30/FxfZ16Ned1uR+s5UHeiN/AdsO6uTz/u9nf6oBvuT\nR56AQx6+yW9udfP9ukU7HrdwzUKLduqmWmve+B3vJ/O+wsceCPzWrF7Z3t5wYw8u/tO7W/bV\nc7qlj5e/go/jzEbGuzjfwrO0xtAcC5+Y3J4AQfWzLLxxi5dfY+Hu3lgFuvN90VZPx73jTAsm\nxdvw3qRPKz33em9/qgV/H5d359WP4WCte/S+/21okVgFRnMtXOHB0ne6sz2+gwACCCCAAAJ7\nFSBA2itR6TQoFCDd54eX1INU63U7/al5Sf35+InvjACpsLgP7app043zKWZfyW0yzezHuvld\n7r1KueW875mABzqPqzdostlB+Vvysglve4/PDRY+rTr1JilInW3h3flt9dl7bE5V8ORBz9f0\n+QoLb/Neo5bJHsToc94jpUDGF3ldl1fe7Y8eqI3W0L9ub4AvIoAAAggggEBnBAiQOqNUIm3i\nAOkNP56r/HmMPyf7s9Wf3/Rn7qPBPyhZgwKV7+ZW9MN7AqQE5OstfEw9RepFKtRkhoWnqP4i\nC/o7qC10OJVQltKwNx8ap/lABR8XWnCJemcUePgwtvM0pE49TAUbe6F6jOK1h9QzldujlP8d\n7+U5Qr0+J5h9Kr+OzwgggAACCCBQsgIESCV7afY8sP/pRTf58x1/KvDJfeZONv+61zW31z/m\nr/09r4UAydELPV6zaPveeojUw/SYhasLfZ+yrglM9iFyClCmWJD/A8LuDZ1i4Vfbg5hDrrXw\nkScs0rDVxMctFr30oIXL1EA9gR7UevxT+DHJfHKZtznL0j8v3IJSBBBAAAEEEChBgYoKkMIS\nBO7NQ7rBN6anHkrU8Jc5z9wgSENwtvtTPUjKcKVAikcJCOznvRSbLVN0CN0OX9dmsKd3LoHD\nLftDaDLbqJPw/zDUJZ1MZBkNRdViQhv9wmz1azQoqa3KvWtp/yZL+WXK5tJvHWSZsXpf6DHG\n7M/894mUt19VqJ4yBBBAAAEEEEAAgf4R0PCgqH92VXAv9CAVZNFqvtFG9TokVKvY77xr2pQV\nrUgbqrogoCQMPrTxyaSv+HC5R9Wzp/ppFvxYyTO8V+nLhdr7HKWxymbnQyAvUv3dFr3lc4wS\ne5x8jtLNmqOknqRC26MMAQQQQAABBEpSoKJ6kEpSuAoPigAp4aLHc4yutOCuQk089feCYnOU\nCn2HsuICnpVu2rZdw9x+ld/yTEsfo8QYMy3YvYbYYxatftGiLZPNPpTb/jfea/uwhe+95dnw\nftmeoVHD8zb7931o3lxvm9uL68FW+mhlK7zUgqtzt8N7BBBAAAEEECh5AQKkkr9E5XeABEhF\nrtkLPslfQdCtFr4Q9ywcazbsAYsWq9wzny0v8nWquiGgXiL1zKnHx4Ohs/XUGkgqy+9dmmz2\nUQ+Qtq70niKl+lYSByViULa7JZ4NL85gFx+GB71/0Lwx76na6oHSQ95rdLsCKfVExdnx4ra8\nIoAAAggggEBZCBAglcVlKq+DJEAqfr1ST1i4VsGQbqLVA6H3ejK0rjhcT2p93aNj51m48j0f\n8qZhb/5+ldZCKrRNrW90uQXXP23Rei38qsx1HiQ96I33WFRW3z/R1z1SMOVDKDd4ALxFgZj3\nIB1ZaNuUIYAAAggggEDJCxAglfwlKr8DJEDqxDXTOkg3W/j8Q54RTb0YJ7FAbCfUaIIAAggg\ngAACCPS5AAFSnxNX3w4IkKrvmnPGCCCAAAIIIIBApQhUVICUrpSrwnkggAACCCCAAAIIIIAA\nAj0VIEDqqSDfRwABBBBAAAEEEEAAgYoRIECqmEvJiSCAAAIIIIAAAggggEBPBQiQeirI9xFA\nAAEEEEAAAQQQQKBiBAiQKuZSciIIIIAAAggggAACCCDQUwECpJ4K8n0EEEAAAQQQQAABBBCo\nGAECpIq5lJwIAggggAACCCCAAAII9FSAAKmngnwfAQQQQAABBBBAAAEEKkaAAKliLiUnggAC\nCCCAAAIIIIAAAj0VIEDqqSDfRwABBBBAAAEEEEAAgYoRIECqmEvJiSCAAAIIIIAAAggggEBP\nBQiQeirI9xFAAAEEEEAAAQQQQKBiBAiQKuZSciIIIIAAAggggAACCCDQUwECpJ4K8n0EEEAA\nAQQQQAABBBCoGAECpIq5lJwIAggggAACCCCAAAII9FSAAKmngnwfAQQQQAABBBBAAAEEKkaA\nAKliLmV5n8hvzeqnmh1xvNn48j6T3jn6w82CMy19zBUW3u7P286y9FG+5VTS1qeZHfmQhcvm\nW7R5roUrZlj690ltjzMbPc/ClauspmW11bS+6N+RfVJ7yhFAAAEEEEAAAQQQ6G+Bn/gOM/4c\n3N87Huj9nWX2H8usprnZatqabVBGryv9pv0CC6cP9LEN1P6nWPDt1yzavt0tPHjZ8pJFW3fu\ner/1FAu/kntck8yi5yzaKLdtu+xatvirPi+waIcCz9z2syy4aZd1TdtWb7Opva3KHrbwvdy2\nvEcAAQQQQAABBDopUOPtdC97WCfb0wyBvQpUZYB0gQUzdWO+xgOiqy18cLqlf+038Le/2x4w\nqWyvchXW4GSzz7/vHg96b9Bks4Pj0zvB7BPeM7TyPe/10fu43IOjTU1ueJ2Fc+MyvbrjHAVV\nCy3aGZd7xPkLeSso8v18Iy7/tdkBaqe6my18OS7nFQEEEEAAAQQQ6KQAAVInoWjWeYGqC5DU\ns6EekvYb+D2Gjj3jvSK68fcb+S92nrH8W95v0ZKnLdowyXuG8s/maLN9X/AepTstekN13vt2\nlIKaayx8OL+tPl9kwQWq99eL9NmH1LXK1O1r9Tn/oeF2qs8v5zMCCCCAAAIIILAXAQKkvQBR\n3XWBqguQ5lj4hG7eJ5t9phCXejV2eL3Pq3m3UH0llumcNTzubAv/M+n8zrdw2npvozlKbrNc\nw+qS2qp8rQc9Pi9pk97L+3kLN+p9occllp6tYY7nmZ1UqJ4yBBBAAAEEEEAgQaCiAiSSNCRc\nZYr7VmCipQ72O/XMZLOnC+3pNLPN71qmudFSIwrVV2LZgWYfH2Sp1BZr+VPS+W2yzCP7e5uP\nm02stdQQNywaIK1xw6Fm+8Tbe89sefw+/3WZqcPOrM7CL+TX8RkBBBBAAAEEEKgWAQKkarnS\nZXqemu1XLY9tZks8Zszsa8HHks55kGX+vNXbeGC03IOlrfubFf03PMRS0WZ1HrU/xlpqXPw+\n/3W8pT3Bndkaa5mXX8dnBBBAAAEEEEAAAQT6U4AhdnnaGm7WPsRuWV5VRX/0uVcb4jlGhU70\nAZ+j9KhFq1U3w8JTfEhc2yUWzCrU1pNeHKthdUp8oXplB9QcI6X5LtReyTKYg1RIhjIEEEAA\nAQQQ2ItARQ2x28u5Ut1PAlUXIOUkaWhy4z2SNDz7QZKGz/fTNSiJ3fjaRz9TYDjLwhvzDih1\nlYX3KLHFGRb8IK5707PPqX1+WnRlBFQabw+KWuK20ztmsft2XK6kDXEWu1stfDEu5xUBBBBA\nAAEEEOikAAFSJ6Fo1nmBqguQRHOhBeeqx0I9F8rEdrYP8brSgjt8XaQW9Xx4QPBA5wkrp+VM\nd1Gyhlct2naThc/68zmtabTRy861cErumao3aJFFTfJSFjpvt11BkT5rIdiTzD6Z2/4yC25Q\nnZ756yAp6UNuW94jgAACCCCAAAKdFCBA6iQUzTovUJUBknimmR291KIOC8Xqxt57RLyqeh8n\nenY/BY1a+8gXcF3h7x84wezQJJFLLbhKi8ouccuXPbDyQPOupLYKqrRdBVJac8lTh2+eanZE\nUnvKEUAAAQQQQACBvQgQIO0FiOquC1RtgBRTHWs2zG/S/yFpfkzcjlcEEEAAAQQQQACBkhMg\nQCq5S1L+B1T1AVL5X0LOAAEEEEAAAQQQqFqBigqQiqYIrtpLzIkjgAACCCCAAAIIIIBAVQoQ\nIFXlZeekEUAAAQQQQAABBBBAoJAAAVIhFcoQQAABBBBAAAEEEECgKgUIkKrysnPSCCCAAAII\nIIAAAgggUEiAAKmQCmUIIIAAAggggAACCCBQlQIESFV52TlpBBBAAAEEEEAAAQQQKCRAgFRI\nhTIEEEAAAQQQQAABBBCoSgECpKq87Jw0AggggAACCCCAAAIIFBIgQCqkQhkCCCCAAAIIIIAA\nAghUpQABUlVedk4aAQQQQAABBBBAAAEECgkQIBVSoQwBBBBAAAEEEEAAAQSqUoAAqSovOyeN\nAAIIIIAAAggggAAChQQIkAqpUIYAAggggAACCCCAAAJVKUCAVJWXnZNGAAEEEEAAAQQQQACB\nQgIESIVUKEMAAQQQQAABBBBAAIGqFCBAqsrLzkkj0EEg1eETHxBAAAEEEEAAgSoWIECq4ovf\n16c+xezbr1u4bZ1Frcstar7c7Ia+3mdvbP8Es09cZeG9D1i09H6LFs+y8NbJZgclbDt1k4XP\nLrKoaa3VtC7287zVwhcmmUWF2l9gNn2l1bTstJo2Pdf5d6618KFCbX9rVvuchRu3e7tmfzb5\n812raT7D7KeF2k+x4Jt3W/T2Um+z2rf7rEWbLrFgdqFj+aXZ4CssvG2BRdt3eNsNvu15Fq6a\nZukjC22bMgQQQAABBBBAAAEE+lPgJ76zjD8H9+dO+3Jf71i0Uzf1+U+/GW+bbPbJvtx3T7Y9\n04KzN/kxvmHRjtssevkOi15bZDVNazyImG7pY3O37YHUYQqKdI5ve4D0lEXrF7aftwc+bSeZ\n/U1uew9A3ldbBUZq5/vYvtXfN9ugNg+wdua21XdlpfYrPKB62sL1b/kxKUhSWX5QdZ6FZ2hb\nj1q0+iILLj3XwilzLHxcx/eERWt+YzYk3r4Cr6ct2uCBWqsHgvecaeljzrHw5HstWqRju9SC\nq+K2vCKAAAIIIIAAAp0QqPE2upc9rBNtaYJApwQqKkCKg6PN3nN0qtnXYoEXLdysm3vd5Mdl\npfR6lqWPUlCiHiM/rt3Dzv7dbND1Fj652evUSxMfs3qCtniZ9+j8MC7T61SzIxRkKaiKy2db\ncK/OXT02cVn8ep9F76juMQtXx2Ub/bPKppsdH5fp9ddmB6jXSXUnm31DZadY+BUFR1daeIc+\n5z5ONPvcEu9RusWiF+NyBX7veNCnnrK4LH690IILFSRNteC7cRmvCCCAAAIIIIDAXgQIkPYC\nRHXXBSomQFJApJt3BUeFGG639ALVv2zh1kL1A1n2nA9J8x6jBUnHoCFoD1n4rurVy6LzmGHp\n3xdqf6bZz1R/pQV3qV6BlAKsQm1V5gFLs9rr/YWWvtB7lTLeA/SIPuc/PGJqVFv1QKnOA55X\nvEdofX67+PPZFv5Rw/Qm+zBBfzbovcri+vzXuRau9N6kd/LL+YwAAggggAACCCQIECAlwFDc\nfYGKCZAW+Jwj3bzn9hzls6gHqdR6kSZ78KCg5AwLfpB/vPFnH4Z2UnuQk3rGAxIfvpYY8Og7\n73tPzwsWbdF7mcTBlT7nPy40O1/7n2l22rMWboiDpfx28Wf1XqnXSJ9f80DJe71ujOvyXyf5\nfCgdtw8RPN57yX6lAEm9Yvnt4s8+b2nWQu9hij/zigACCCCAAAII7EWgogKk9F5OlmoEuiRQ\nb6nsjbdP1rk76Ys7LZPZPX4tqVE/lw+y8EPa5VZr3T0ULf8QdljmtX0slTrObMR+ZvtsMyvY\nSxZ/b7NlWr1dpGFxGrG32WxVXJf/6t0/D6psXws+tq+lIg3iLfbYZpm2oL1BjaWCZsv45gs/\nPPhq9glOmcDSB6QsvU+LN5th1mHOU+43vX5HlDPEMLeO9wgggAACCCCAQKULECBV+hXu5/Pz\nMV9Fe1V0OJEHGf18WHvd3WZrebnVA7chlv5SUuP9feLhRg9MTvZAZ41lNgw3i2OUgl/xYDH0\ndltOM8VGGfszS320YEMv/IiFf/A2meXWesFiyywXkPfC/W1S+5G+be+aysZR71rb2tGW/lxS\n21Mt+PoQS6X9IB7y87xbQZ73lP0wqf04S39pqW8zqZ5yBBBAAAEEEEAAAQT6WqBihthdYna1\nhof5HKPs0LJ8OA8W/ln1axLmKOW378/PPsdo5TyL3vd97hHAHe2dOy/6cDlltdMxTTM7Uudx\no4VPFzrGqy18UPVnW9o7nMwWt88x8uDq2/nt1cOk5BCap6S6eI6Rstflt9VnTyP+nLatLHX6\nPMPCE7f550KJFQ73IE7n5UMCN6itHu2fN/6yQNZED5x+tLc5Sru2wv9HAAEEEEAAAQR2C1TU\nELvdZ8WbARWomABJirrB1g38PZZ+M1c1Do5UV2yOUu53+vO9elrW+7HdadGbHqSMj/c92ezg\nhy187z0PWDzz26Fx+RMWrtW53GHha5PUMeYPvWodJJUr6UPc9mSzL8RzrxQ8xeUX+LpIu1J9\n17Rp/lFcrm1qG1rPaLpZNr249q11kVS+Ki94usuPWSm9NX/Ij32sbyd1ugXfe8zTfmsbnunu\nq/G2fTufWuYB23yfmuRzkn6j9p7t7tO+LtLNWg9JSR/itrwigAACCCCAAAKdECBA6gQSTbom\nUFEB0u/MPqZgQDfyelVGu3hNH5XdbKlnu8bTf6019OxtT1CgNN1aK0iLrap35lWLtnkAtTtl\neXxE6o2Jz1OpuePzftx8dF1eT9TpZt9XsgQlY9B3dj0HZZRW2zPXeedbx8ctFs7ftb1B7W13\nfac9e12HXi71FM228G4ljtD2tU29Pu5rIHlw9OWOWzZTsKVFcHcFszqeQT68r6blMgvm5Lfl\nMwIIIIAAAgggsBeBigqQOtxk7eXEqe47AQVIPpfe9vdnyaW/7u5p+7pHWz5q6f3S7Rvw+TuZ\ni635G8USOHR3X735PQ09a7TwN3Vmn/dJPq3vW9uDj1nb6dcnJGU4yRd1/W++UOtQs5E+jm31\nAmv5TbFz9J6icw6x8J9DD2resszj/9tav1Hk+FO+htJdYyz1FxvN1r1sLf/7P80SE0no2Edb\ncHjKMsO2WNsj3va5ItvWcL6xQy34QoulNjxvLfcnnWOxbVCHAAIIIIAAAlUvoABJCaA0J/qJ\nqtcAoFcEKqoHqVdE2AgCCCCAAAIIIIBAuQhUVA9S/ON+ueBznAgggAACCCCAAAIIIIBAnwn4\nKB8eCCCAAAIIIIBAaQsMP9HGp4amv58O7cCWzW3z1v/K7iztI+boEEAAAQR6IsAQu57o8V0E\nEEAAgcoVmGqDR90SPnNQU9Q2cUfUNmFD1PpnmZrMuJfCTUPPCL5ZuSfOmSFQVgIVNcSurOQr\n+GAJkCr44nJqCCCAAALdFJhjwZhHwxWNK6OW+pnpU+1sG6Qt1U61L495JFw+cVPURpDUTVu+\nhkDvChAg9a4nW3MBAiT+DBBAAAEEEMgTqLs4mDlxa9SmgCivyixjqbHzwvfGzQ89yScPBBAY\nYAECpAG+AJW4ewKkSryqnBMCCCCAQI8Exj4drh15ezg/aSPDptrXNdxuyFT766Q2lCOAQL8I\nVFSARJKGfvmbYScIIIAAAggg0FWBcHxqyM6X2hLXVFGihqH/lslE+6e/YNb2UFe3T/s+ErjA\notpN9sVMxtLrQptnx9j2PtoTm0WgTwQIkPqElY0igAACCCCAQE8FMtusNRVZbdJ2hp1qQ1L7\n+Gi7Zluf1IbyfhSYZvuOHBfcue+X018MhqWyS8kcuCmT2T4x88yO11u+uvG3XKd+vBrsqgcC\nBEg9wOOrCCCAAAIIINB3Ak1vZBYOOiT1t0l7COuCkzM7zZq2tF2V1IbyfhLwBBpj/59wSfih\n1PCtt7XNblrVOiPVZq1hffCv+30t/eOaieHidKqlYf2xxpyxfrok7AaBchdgDlK5X0GOHwEE\nEKhygaGn2qH1VwRzNGdoxA3hI8NnpH/RUxLNLZq4PWobOSfYY/hc7enBtyesjVp9X3N7uh++\n33OB+quC2yasi1qHnWafz9+a9/Qd0rgiah55Y/hofh2fK0agouYgVcxVKfMTIUAq8wvI4SOA\nAALVLKDASIFM49KoSem3xz0frj+oOWob92y4bvjJdnBPbGrPT584cVvUNv6FcOOIq4Kb6y8N\nLh19T/ia1kQa/VCw2Hy+S0+2z3d7R6BxcdQ08urgjqSt1V8WXKaA1jx1e1IbystagACprC9f\naR48AVJpXheOCgEEEEBgLwIesFyiYEg3wEq9HTf3noQvjHsl3DL+1XCL+dyUuLw7r0NPsy+O\nuiN8afwb4fbGJR6EPR6urLsgfVp3tsV3el9g/5OtXtkEa88Mvp+0dV1DtTlwin0mqQ3lZS1Q\nUQESc5DK+m+Rg0cAAQQQQGDgBJQkYfC30z/cPKftjtX/0vov9i8fHMv6X9u8lpaWT9b+NFow\nYnhw4fvWmnjz/MG3Cr/b8GvzYXQtf1G4ltKBFojS1qRjyKSTA2FP2bCf2qTbrFmvPBAoZYFs\nhpFSPkCODQEEEEAAAQRKUyB9QPqnqf0stWOJB0cFHpuPszd3zMu8GP15cqKFAl+jqMwElHih\n6c227dG41A+SDj0cHfy0ZUWmZcNvLXFdq6TvUo5AfwsQIPW3OPtDAAEEEECgQgTS+6Y+3Lba\nWjwQWpt0Sq0bM2+nh9sBSfWU947A0Cn2V3UXhmf40MPTNbyxd7ba+a1sfzRz5X5/l/rc8LOC\nH+d/Swk1Bn8j/fXtD7Xdll/HZwQQQCBJgDlISTKUI4AAAgiUrEDduenfKzmDhtolHeSoW8Jn\nxz4Vrkmqp7xnAkNPsU/4nKz3Nb9HSRCUSU7vx8wLV/Q0QUZXj2zUXeErSp4x6ubw6bpz0sfU\nnp0+ShkNJ25pT6iRM0etq9umfckLVNQcpJLXrpIDJEAq0Qv9S7PB55lNnWz2yd4+xBPMDrvQ\ngnPPtvRxvu3dE5t7ez9sDwEEEOgrAU3On7DREzRcEVxTaB8eODU0ro5aleWuUD1lPRM44GT7\niDIHKsPf8GnBd+KtKVnCuJfDzQ2Lop26BnF5f7zWXxSc7ck5Nh/UGrUd1ObZB18Pt3kCj8tz\nE3j0x3Gwj34XIEDqd/LK32FZBUiXWXDNmxbtWGs1bauspvVRC98/2fZc96CcL9slZlfv9PNr\nzj4H+SLtu97PtWB5T8/rDLMfvms1zR9se5Cvc1jTdp9Fi3q6bb6PAAIIJAkMO8O+4em3Nyig\nUdrshuVhs68v9GBS+86W188KrlOvgYZ35X7Hb8wP0f4a3gq32xSG2OXa9NZ777F5VZn9hpxi\nw/K3OfgkG9nwdrRz1G3h8/l1/fJZ6bxJwd4v1CWyEwKkErkQlXQY5RIgpV61aJtu7FdYTcvj\nFq59waIt2/1zkz8vMU/xWgGPGy31dBwQvWPRzjss/cp8CzfpHFWusu6e5jSzIxUMrfOnB5q3\neC/Sx083+/5cC1do2y+7b3e3zfcQQACBJAEFMfo1/6Cd2bWJ1o95JFjeuDRsOijjaxctCZt6\nmoZ7xLXBvQe1eG/BG+G2UfcFb415LFypIEw9CUOm2KeTjovyHgicbYMmbs4Gpv4/LYUfdZcE\nF2jIHb03hX0o7VUBAqRe5WRjEiiLAGmehSt1E68epNzLdqzZMPUoKYCYavYPuXVl+D4VB0e/\nM/tY/vFvtKhV9ZebXZdf15nPq73HTc9f256/pspV255twd2d2RZtEEAAgc4IDD/DDs8OdfKe\nhvxf9OsuTE9TnRZ27cy2irVRkgAFSqPvC98ceXs4Xwu8sihoMbGe1Snw1FwjuSdtSckR1EZD\n8ZLaUJ4g4POlDjzFPmRTbXBCiw7Fmu+ltZ6quLeUAKnDXwQfekOg5AMkDxYm6ub9LgvfLHTC\nR5vtu9nr51u0uVB9uZQ9YcHavQRA2QBqiwc5XT0n/4nv6GYblDnXwilJ3/XeqaZl3juXVE85\nAggg0FUBzUVRIoX84CjejoIZ9SQNPtUOjct4LX2B4SfaeAU/tWcFiam1a6enf6ZrWyyJRumf\naf8eoQeTH1WyCR+Kmk12oblUY58J13rCiZ8WOhINLW14K9qha6Gnek5H3xO+0d8JMgodWz+X\nESD1M3g17K7kA6RZFtykwEGBUtIF8R6mVZu8TVJ9OZSvb+8hKnasGlIoi2JtCtVdb+Fj6mUr\nVBeX3WPBwm17aRO35RUBBBDojMDErVHbmCeC9xPb+vwV3USr9yexDRUlKTD+1XCrzzF6Nung\nRt0ZvqwEDkn1lHcUGD7FPtuwPGrWUFFPNnGOeuCUjW/M/cFCDSHVkMXcb/gcvgcOao7aRt4Y\nPjb8jOCfDpxin6mfmT51/IJwa8O7UbPPDftUbvsKf0+AVOEXeCBOr+QDpDkWPrG3m/s7LHxt\nR5nf3PdlgHSthQ8psJpkFiX9kT1k0dKtZW6YdG6UI4DAwAgc1ORpl/0Gr9jeNcxO6biLtaGu\no4ASI3jvwTS/OX7UU1nPrTs//YekXrqO3+y9TxrGmL1xvyB9Wv5WlU1OvR+156Z9JDyPzgho\nqOm4Z8N1hXrcsvP4/N9SPKTR13v6if7dZK973sb1/XHzww1jnwiTf5jI+04FfCRAqoCLWGqn\nUPIB0nkWnqHhYUookISnhA1rujH0LGl7A1H+rIXrFcRcbOaJ7Ao/VO9D7Ir2BBX65qlmX9N3\nr7TgrkL1KtP8JM3nSqqnHAEEEOiqQOPaqEWZzpK+N/RM+74PDWqrvSg9PakN5R0FfLjVzxtX\nRM0TN/nwq6fDNeOeC9crk5+GWg2ban/fsXXffhp5dXCHbtR9LaSVI2YHN/rzprFPhqtVNuLK\n4Ia+3XvlbH3YtOCI7JDFqfblpLPScFWt8aT60Q8E74ydFy5Paqu069pedl5SUqPKKidAqqzr\nWRJnU/IBkpTUs/FGws27T6r5nnqYfIjYWyUh2s2D0LpHCmL0/K1Zff5m1rUPwZttdkd+XWc+\nK/jREDoPlr6V3/5eT/Ot/Xow+l/5dXxGAIEKEOijRTI1F2X4qfa5pMnhPszqRQ2hG362/Uch\nxYZF4U7d3Beqo2xPAQ2l0jyTUXeEL2kdqLiFEiGMeSRc7us+tWjx1ri8P1617pGSY2homNYd\nys6ByVkXqT+Oodz3UX95MKtxcdRU7DxGXh8+7MHwOrVR+vq9re81YX3UWlegd6/YPsq4jgCp\njC9eqR56WQRIcZY1paLWIqcxpqf3nqWbfu89aiuUnS1uVy6vt1nq5ThIWmDhtjlmf3rMgtXx\nukhLLWru7rkorfd6d9K2tH6Uz+26/UYLn/LEDNl1ke60cEF3t833EECg9AQ0SV7DbDQPSMOd\ndFPlv/Df2tO02jrT2nPSv9Ev2vqVWk8lYtCv2nuk1fbATDftGoo14rrgvjjl89Cp9q2Gt8Md\nCp50c1h6eqV5ROoxUiBU8Og89bbPC9oy+q7wtYL1FJaswIjLgyu1sG6xA/QA6U9xxkf1yqrH\nrlh7JXrQnKRibSqojgCpgi5mqZxKWQRIwtLaPXGSAg0z05wjH3qntYGadPNfKqA9PQ7vIbpL\nPWK7AiUtFDso+15Z7nq67eO8Z14p09UjFwdiyz1z3UUWXNTTbfN9BBAoHYHsnAUPijxoedvn\nipykyd5KhDBhTdSqm6xCi3t29uj9Zm62Ai7vHXrJew9+OOw0+7zPhThh3EvhJgVDtfnDhE6y\n0bqhUzCkoVcKlrLvfU5Fnd8Ydna/1d7O55Y0yG/49GBSkkXdxcF52bWHkhpQXpIC6oXTvwn9\nW0o6QJ9XtNGTYjynevXSaShjUlvNUdIPF0rckNSmwsoJkCrsgpbC6ZRNgCQsrXvk82jueMCi\nJerxOMvsqFJA7ItjmGz2Sf9Z9dZic6/6Yr9sEwEEyltAqZcVwOhmOf9MlNmqcVnUNOr28MX8\nus58Hn6afUUBTv2lwaV7tPceDJ+Lsko9S3vUeYF6jUbeHDzlN3evZXuNLkhOGlPo+9VepvlF\nuulVKugki+FnBj9Sm0IT/ZO+Q3kfC8yxQEGt/5u5RGm5/docUmiP+oEhm1hhmu2bX69/b/p3\n5//+vqo6H2p5ePu/8Zn5bTXsVZnsxjwcLsuvq+DPBEgVfHEH6tTKKkAaKCT2iwACCJSLwOiH\ngsXFJnBns495782+J9rYrp6T0joXS92s+Uj6JVw9S13dNu2LCygwygY/04LvJrXUDbiSNyTV\nU96/AnXT00c2vB3tVDDTuDRq0ryg9t7Xl/ODWGWoa3w/atEPDOr19d6kLyjgVbp0fUc9t7lH\nv7uX+J5wQd2M9C890cN3NVSvcUnUpOG02YVmc79Q2e8JkCr7+g7I2REgDQg7O0UAAQT6RkBr\noBTs4Yl3579Q64Zr+Iz0L+Kizr5qkrgmixdrrxvCEbOCq4q1oa57At7LsNl74BLni2pRUQ+Q\nF3Vv63yrNwV8mNuPD9qZXbj1td0Lt/qcPKU+13pH2d4i713K3acSbIy+P3hbiTgUDOupa645\nf7nt4vcaOqsshvr3rLYKsEbeFD6xnw9rjdtUyWtFBUhhlVw0ThMBBBBAAIF+E0gFlrI2S0yt\nbUfbDvN0L6mU7dPlg8qYZVKWLvY937838iMo9YffnNatT08Jx6e/lt4ns3/r+tSylkWZaWt/\n2XpToUOvPdeO3fcL4XHBmNR+1mLW/E7b2m2Ptn5nw69t7h7tp9rg+vrgvOhDqa+kh9j+bets\nY/NbmVtXH9h6lH3HWvdo38mC7Q+3/XbIvwVne3rtO1eFrd/cva0pdsCog8NHaz6aGrZpZss/\nd3JzNOtDgcF/lzpn+8OZhSu+2nLw7t2kLLPW2k5t3dr2xLB/i/5U92owY421/ltcv+G3Nn+D\ntf6ZTW0dPLzNDtnebMu2/86Wx/X5r2t+3jbNzJ8+vHW/zTZ82/G2Ir8NnxFAoHsC9CB1z41v\nIYAAAiUpoF+mNc8n6eCyi0z6MLihp9qhSW2SykfeHD457pVwS1L9kKn213sbBpb03f4sV7Y9\nZXybuMXX8JkbLht1V/iKhg4qCYKf41Nxtr34mMbMDd7V0EG11xAopbQ+qHlX0om62cEtcTu9\nqhdA9UqWoHTcCmbU6zNxs3/3+XCDki3ktu/qey0Qq+PwtNA7fbuvj/GFeBtXRi2eIKNVayR1\ndXu0732BeB2iPbI65uxK8wCLJVrIacrbvQtUVA/S3k+XFv0hQIDUH8rsAwEEEOgnAc1fOMjn\nGBWcB+Q9DeNe9Mng88L3unM4mhehYUOFFgHVnAoN8VIQ0J1t99t3vHdn/Jvhdh3n7qFP7TvX\n8CcFMp7x7574eJRYQsGRsvbFZdlXWb4ablXd8BneL6eH90opgFLGMU+IcVC2rP3/KUGG9jvm\nsXBlbnl33vtcr4/XXxXcriyFo+4L3vI1ca6pwmFV3aHrl+/4+kOnT1gbFe0prL8suGxvax/1\ny8FWxk4IkCrjOpbUWRAgldTl4GAQQACBnguoByl7o39VcLNS/Sqzld/8H6/eH81/6E7vUXxU\n9RcH59wUmkYAAEAASURBVCqjlm7OfQ7Er7R4qcqUylvbHj7FPhu3LcVXTXbXzav39EwodHzK\n/qc5IHG9gk0FPIXaqmzCBl9jyhe81fvamemT9d2kTGWeie7r2VTdPj9F7XlUpoDmDOmHBPNg\nPOkMR1wT3DX+tXBrUj3lXRIgQOoSF407I0CA1Bkl2iCAAALlJOCTweuvDK7XpO14srdu9Ec/\nGCxS70NPT0Vpi7VoaTw53IOEVmXbKpaCuqf77K3vqwenaJpzTz/ui2y2eS/AacPPtv+QX+10\n+1nS/kfdHb4qB9Wrl2lvvXOadD/yuuD+pO1RXv4Cg0+ykVo8uf6i4JyCZ+M9jeNfD7eNujl8\numA9hV0VqKgAiSQNXb38tEcAAQQQQKAzAj4ZfLW1Hm5zWoPhi+1vLAyG7tjeOq+3JnGv+0Xr\nhX4YF5pnxBu600ZuONaW2Nd95k4ZPNIH2uDWJZl3Ew/1X6257W+sKb1PalyqJqhVu8xmuy2p\nfduGzBJLpz6m+tSgzP5tW1OJvU1q07bZtqYGpYbqfTU/1KuZrk//Ir1/6s/attuKtjWt5647\n1l5NMhl5S/DMoL9IHWKhpVqWZNZue6z1a/531631vJL20VvlW4+3Vds+kpk7+H+mf9qy2R5f\nf0zr1bu37QH4qP3C54JRqUGbb2nWj9Q8EOggQIDUgYMPCCCAAAII9LKAZ0xbZ3afdT9xWvED\nOsa2+4Sjxfbb4s1KqVYZ5dLDUx3mB3U4Pp9bFIy2mrZtmYWZ7W3zzYIfpUYqzXJbwQQI4Rhf\n+NOzAurRuiG1rObP7ZO7PhX4/96zFy5P1e5Y2PZQgdqqKfI08FcP/of0EZmMZVqXZ3ak61P7\nBEPSR9Z8OPPYytaWL+3Ozuciw8+33w/9SfTHbEJs9dN5GB6OT43a5/9Nz9/nLzKvr/y7nCxx\nJSS4KtPy5VHPBK8POyo9e5+/tJNaV9gLqZrUsEGfSH02XWvR5lmtR5VqgFdCjBwKAgMmwBC7\nAaNnxwgggAAC/S2gYU/KApeUYWzE7OAmDRnc/2Sr17FpjlHjiqg9BOp4tPv7cEVls/OED9le\nI59j9PeaY1R3bvr3HVvu+qT1qTT0KmmOUqHvVFqZEnxofo4SSyg9dfb8PHD0IY1TtJCqMv/F\n5zz4dPtbJcHQnLfamXZqXK5rp+GjqhtxU/B4XF6Kr5r7p8WbNd9IiUFG3BDOzU8OUorHXWbH\nVFFD7MrMvmIPlwCpYi8tJ4YAAgiUloACAy1kqUxvDQujHWPmhSs016fgUfpN8zi/qVTAkb1J\n9pvhiT6PauTNqccKtR8+3SY1LAx36GY6217JFTxwUZKKDu2Vac4X12x4K9ox9Izgm7vrNG/r\n8mCW5mopw1hcXndh+gxtT9v2G9vD4nJlrtNcJbXf77QPeo38/B5XAFZ3SXCB+XCqbHuti+Rz\nwtS2UAbAeJuV/qrAQEkscn1zz1lpymVdd2bwPZU3LIua9fkAz56Y2y5+P2Fz1BrP/4rLeK1K\nAQKkqrzsfXvSBEh968vWEUAAAQRcQDe/6plRtrsR1wX3aZhVdn2gHdm1iN7VfKbdUKfYsDjQ\nmej1WleocUnYFAdLni572+62/sa3dZXqlLlv9L3hm9p+du0irVXkQcnQM+2Hue01/0XJFPQd\nrYektaPUS5S9eVfPRt6j7vLgyuy6RwrSPPjRMXnyhjb1Lg0707I387u/4oGWMpRpWwqgFAjq\nO/6+1TPoXbm7XRW+8cDocnduyV9nKpfCg9d1cfKC7PV5K0xc9LjuMrtCSTSGX2CFg+zcDfO+\nkgUIkCr56g7QuREgDRA8u0UAgWSBw33ix+kWfH+GhSeeYcEPJ1n7L/HJX6GmhAXUc6TgKJs9\nzntwcg9Vqa8bV0Uto24Jn4nLG72teg5G3JB6JC6LXxtXhNlehZG3pJ5SmXpv1IswXjfSHpzE\n7fSqrHoKYiZs2pVlLrdO732tqO9rzSP1ail4KTr0yYO2kXOCB8Y8Hqwa80iwvO7S4KL87eV+\nVppw9Y4pEPS1qU5UZrPc+mp8P/LG8NGxT4Vrip27/ka0eK/a6G/A08m/k9jeh+gpUB11W/q5\nxDZUFBTQ3+fwM4MfeZr+wzv8OFGwdckXEiCV/CUqvwMkQCq/a8YRI1DRAudYeOoSq2lu9nny\n6/yp12VW03K+hWdV9IlX8Mlp2Jl6jrSQaqHTzC5u6709Wly11ofE6cZYQ9oKtVWZAiL16Oi9\n9xQtU2+Ttc8ZUlnuQ0PvtD0fPrdHz1BuO973vYAWt1VvYLE9jXk4XKZ1vNRG101p0ZPaK4GD\nepDqrjCubRJSXrnWQBvzcLBE/2Zkp6d+vPAfCu5N+veZt4lS/EiAVIpXpcyPiQCpzC8gh49A\nJQlcZMFFOz0gus7CeZPNPqpz89cPXWPhgzu8/FILrlIZj/IS2OvaPz5XR8PQ1NMy8r70m7pp\nO+AM+2B+UN7p+sKsO3TzrOKG5WFzsWBKbSZu9WF83vOj9zwGTkCLCuu6DZsWfLfQUWiNruz8\nrQvSp6t+wrr2OUZxMoe8LzW8u2uOUn7PYV4zPrYLKDjSYs6aA+iLPB/jPbtDDjzFPqS5d0qQ\noWQSZWpJgMRfea8LECD1OikbRACB7ghMNjt4gwdBl1twfaHvX2LBrC1ef4LZpwrVU1a6AkqI\nkM1aVuQQG1dGLcowN3pesCIb/OQNl8v96thXgs1xgKTvKUNYbn3+e80FGvtUsDa/vNo+154V\n/MCHuT026r7gLQ0r1IK/SQZDLrULJraG2aGOsp7YFraOut/eSGpfe076N5r/pQQYPr9ruYYW\n6gY8v71uwhsXR01Dp9hf5dbpRn38C+HGca94j1F7T6N6iLRvzd+y/7IP57Yf+0y4VnVa+De3\nnPfJAj508V3/sWKTeSr7/Fa1pwffzs7BS1rcNv8LpfWZAKm0rkdFHA0BUkVcRk4CgfIXuMyC\nazS0TvOPEs4m9aZFO6+wMHHRzoTvUTzAArph9mFTiTfX+mVbN7u6gR9+kU33HqS2kXenX006\nbPUyqL3qlTpZN3ZJbbOpuL3tiBuDx5LaVHy53xCPuT9YqKQH7rV+9H0eyDwbrtNQxTEPR0t9\nrlZ2QdzYoWFlukm+hZ4Tm8LWuF321ZNreNCzSEO2NHfI52k9NOrO8OXG1VFrw6JoZ+1U+3Ju\ne83FUlIMJboY/WCwSO2VrEPDvMYvCLf63JhP5LYfcUPwSHwcCpQmrPFepfbMhspymNuW98kC\nmo8nt9rp6Z8ltRp1W/i8Atyk+hIuJ0Aq4YtTrodWSgFSaoaPpjnD7KflillOx+0T3390rYWP\n3GHRaxq+NMWCfyyn4+dYK0/gZoteeMjCd4ud2b0WveN/swuKtaEuQUA9MrmZ4hKaZYu9bd2N\n9mjtefa7Ys06W1c/M32q1r5RWm2tL6QhVhpuZZ7+WttQ8KRepnh4T/YG2G/mzBMj5O+j7mq7\nVTfMGmanOqXb1ud43kp+e9106+Zdmevy66rls3yVPU5JKXLPWdegcWnUpCApLh/1qL0XByS+\n8tD/iMv1OrFlV49S44agJS7XTbXWJMpO9o8L/VWB0JjHw1XeW7TT55btcR1rZ6ZP9gQMb+uG\nXPOOfI2oi3avi5SzHb1Vmm8PhrYoMNY6UhpaV3uJnZPXjI9FBDyL5FH6d7U79XyBtkoqomGN\nBapKvYgAqdSvUBke34AHSCeafWatD5vRROxmG5TZ9axpW2j+P5Y8el3AF7yvfcCiJU3u/YxF\nG/yGc9F8X9Rb/rdZ9PK/W/vCfb2+ZzaIQHGBORY+8YRFRTNczbVwxc0Wzi++JWpzBYbPSP9i\n7NPhGqW71tweDW8aeV1wf6HhT0Nm2SXxzbHa6qnPE7Z9cEOcu+2uvPc1j5arp0fJFeJtKy13\nNoDx4Gn4WYH+9yj7qL/Crs0eh9/Qjbg9tet6ey+TbpKz5d7zkRvsjX44WKrycfPDjcOm25EK\nrLTwaOMyTw3u5XWzg1vibVfbazzvx31/XOjcs/XuGQ+3y/q6WRys5n9nd71XeODzKQWfSQvj\nKkjynqSW+lnBdfnb4XP/Cuj6699dfm9h7lHUXRycp4ySuWVl8p4AqUwuVDkd5oAGSCebfWFX\nYFTT9o5FTdda6qFbLD1/jdW0qlzzDcoJsxyO1X+hX/aO1TSdZp7aM+dxlqV/vtLd9St+TjFv\nEeg3gbMt/M/2OUaHFtrpZLOPaI7SuRZOKVRP2Z4CPu9njoZRaUiVbmLrpqePHHFVcLPm7Wii\n9n4n2ej4W7U32P3xza96Csa8apt9qFU2pbbKJ2byhlbFX+zEq3pvGjwNd3bSvQdISpqgXofs\n/vwGe+yLPi8iXlS1fXv1s+16/eIdB2m7j82DKp+PMjF/tyNvDp7MDb70PQVg2QVb8xtX0Wet\nCaW1noqdstYe0pwktcle6x3J13rMs7ZWtiPvtQV+Qz1T17HYtkfdEb6kBYGLtaGu7wXUi9c+\nx+jspL1piGScYj2pTYmWEyCV6IUp58Ma0ABpk9/sKBDyfvKT8hHvsvAN1b1kUdH/sOd/j8/J\nAgqClCHMh9N9u1CrMy19jHqWTrHwK4XqKUMgFjjabF+l4/Zsc496z8/jnoJ72m/8B+W4vpuv\nqRf83/uTFq07zjquGaOez0ctev9Vi7ZPYk2kTvFqOJWCo/qLg3Pzv6D5CA3vRDs19CquiwMQ\n9SLFZfHrhB1BNphpWJFujsu68qo5KQ1vRzv3PdHGZtcHOi/9R0/IcLaOcZgPn8qmGb4yuKHQ\nNmsvs8vGPBWsGT03vaxYZrv4u7Xn2rFa2NUXh+0wnCyur7bX3HWFks5dSRsURKvnzYOfNr/O\nTUltD7zYZihAGvt6assIv2Z7S9ut3krv2duQtL2qKfcfADTMzdfbmq2eGs/Y97li5z56ri3V\nDxVKjjFxe9iqpBnF2nemTun21UM09DT7Yn57Bbv674XWRsqvK4PPBEhlcJHK7RAHLEDS0Lr2\nAChxkmUcQJUbaqke740WPvv4XoYwLfAbUCbBl+oVLI3jmmrBd97yZAkbPZjWkLjHLFqt9YqW\neoKFaZY+sidH6f9d+Jy2rWQNPjfugZkWnHu1hfep11NP/yWlQ+arnuyr0r+rBTbHPJr8y33t\nueljdUOk7GEj7rZXsjfGa5IDoDiA6qqbhvKpx8iHvGVTNxf6vm6i1cNUqI6yngmMuCa4W8MY\ni21FAYwWcVWbbA+S35gntR+3ML1dfyu119l9deenT9C1LTRcM/7+mIeCJaPvD96OP1fjqwdG\nP9VcLA1H1A8Fce+pAlPNyetgcoYdHv9by3/dI0FGhy924oPPQdS8MGV1HHVjOK/uvPR/1l0Y\nTtM1yv6YckXZrhVGgNSJy0+TrgkMWIB0owXPar5RsaQMT1q4VkFU106J1kkC9/l8o9s9KUNS\nvcp9jsfKG+yDFe2LtaWu+gQUwKz2oZiauzbZl6CJBbyHp97nsL2ioMl7KBPXr4nbF3tV79FV\nFt7rvUmbtUDsi96rpGDpeLOxxb5HXUcB3ZD5r9VXdizN+eSplJU4wdMzH6c5RroZS5p3om/p\nl+xsm5xNdObtsKn29+pxGH6yHZzU3m8gf763CeRJ36W8uID7f122PhfNO373fHgv3g9VHydw\niG/KB59pP9yz9a4AKv470HwWZZXLLjJaoLGScmjYY9IcpQJfqbgizf3Rv7NRd4Wv6seI+ATj\noCmbNS5nnafYv2Fl8EFv7Qn2iTjleo+DJO/JUi+W0qlryJ3WP9IQyHgOWnx8ZfZKgFRmF6wc\nDnfAA6SzzI5KgiJASpLpXrl6kPY2Cd57kHbQg9Q932r41t0Wve3JPTYenpCKe54H2P5kQc4S\n+GNQdjLPDLbHcLncQ9MNkn5F7ssAachU++tsgDTFPpu779z3CtJ0I10sQMttP5DvFXCMuiV8\nVokv/Nf49z1N9YNa4LTgMXl6ba3/pLTW6sXRr/f1lwWX5yaYyP3emGfTa+Ib5Ph13IJ0wd4f\nDZP0tZ1WK6ubAhz5abjbsDPte7nb1HsNs1Mgkx8k6aZY89Gyw+vav1R7za4sgdr/iDvtxXhb\nQy6y0+NjGvtaanNcXn9ROF29Dx4k3ZO7vo4vRPorbVsZ6uK21fiqa5Lrm2swZIp9Wr05WqhV\n5Y3rdv1QMfbFVMEhiXGQpGGOudvhvREg8UfQ6wIDFiD5L9HZIXYvW1TwP/46U4bY9e719jlG\nP2ufg1QwpbfPUfoVc5B617zCtub/q51NkpA4VMqH2B29w9uoR6nCzr3sTie79lCRoU3qOVDg\nopu0ep9wr2FTDat6f4idFv3MZjK7svACwIL1OUovaT2jUkdWggsFAxqSpiFKo24On25YGO3I\nJoPwQDP3+JXhzW+Otysw8VTYz42YHdyUDVR8vR//9X6LApzc9ppnEgcgE7f6vJMtH3zW0Kzc\ntkOn2re0jpDKxz4ZrNYaT1qAVcPdFCx5EHZZbnulzx59e/iC6sa/Hm7TgqGeuGGr9ufz0BbE\n6dbj72j+S3ws+a8Ny9M743bxq4KkCWsjP2bfvq9NpJTiclKChvxtx9+phlctvpr9caDIfCMP\ntp9Rkgx5xNaJNp52XW0mbkseApn43cquIECq7Os7IGc3YAGSzlbDcTSE7jzz1RbyHndbsFB1\nL5qvqs2j1wQ8xffSRT6Xw+eRHJG70emW/sWqbBa78Pncct4jEAtM9iF1GhabnwExrtfrrh8+\nBmVOtj0nAee2q4r3PpRFQ4zqzgy+p+QEeztnTdrWr+7ZSdLt6wPt7TvF6rNzjPwGWsPX8ttp\nzsg4zxyXO0cpvjkberH5yOeOj7iHqWF1cgDV8RsdP9VfFdyuRAy6YexY49k3zk0fn00V7Ykb\n8utK6bPShus4lVyiw3F5AKhgST05Gk6YrfN1pJQlUGnHlZQit70CI2WVG/tMuDYuH/92sF3+\njWvDPTLCNbwT7MivUzZABSMHTrHPxNvIvvrfXMPb4Q4FJ/udZp/sUOcfhp1uX/M5SXcpWNKw\nOL8eBX8sy37Pz6Hh/aA5myTAh1dO2OKp3n1+TP4248+aS1N7fvokBZFa02iPY4sbVtGrPCZu\n6hjc5p9+NhPge1F2OF38bzC/Te5ntdE1yS3jPT1I/A30vsCABkh+E7U7zfcST/N9vQWP3Gbh\ny/G6SKT57v0L7r/s12ouknqKnvWhUvdbtFhzPPT5Fote+nfWQep99ArZot8ZBfo3OcNCj4MK\nP5SkQX9Lx1fzfCG/YR55dXCHflHXr8d6aviTkiYUmoejIEq9J3E7vSqY8KDitp4OOfOei2d1\n466bYQ110/59SN0f9Su/Ftsc6msLxVey9kZ7OL5Bm9jsab5fsLXjl6Z37i7rQZpv9SLFPRwj\nbw6f1JwUv3k8UYu7KugYeX34cHwcpfqqrH+eyOCxpOMb+2S4Wueo+mzyAnfP9c39nrKI6by1\nRpXKs8beu5PbJve92qqNypS23P9G2mpn2K9z2+x+74GK2o+ZG7y7u4w3AyLgP04cpWBVc7WS\nDkD/ztXTqPr431pS27hNj+chFdtBedbRg1Se162kj3pAAyTJnGB2qK97lO1Jyl0o9g0Wiu3T\nP5wzLPiBT3x/2CfWv+pZwu7v6cT6Pj1YNl4yAlpHS+m2kw7oXg++n/I03Un11VCuQMjnFbRq\n7on31ByitYY0x0ZDmhqXRU2581V8kc7DNTzLh8O9F/euqLdJk6j1y7NP7H6lp2YabqX9KvDS\nU0OzxtwfLCwUrA2bbXPim7S4vT5P2NnzhWIV7I24JLhw3Es+OdyPQT0gPo9nrXqQenqOff19\nT0X+eXnUTrUvJ+2r9sLwLAW2qvfA9Hmfb7Qyqa3KFRSPuCF8xNd0+rCMxy8MtiW1H/1Iaml2\n/7Ps+jHzguXyS2qr8vGeEdCHuWV7JYq1o65vBbIZHP3f8R5DHuPd+g8H+rFCc9pUpMBHfwvD\nZtnVcZPc13iOktagyi3nPT1I/A30vsCAB0g5p5SabnbsVLPv5pTxFgEE2gV84s8kJUjwoZAt\nvqhvy9MWrfey7/cn0KkWfF1DY2+y8Llfmg2O9z3J1ya61sKHtnmdB98/jMur7VXDr9Rj44HP\nP+Wfe3ZYm2eOGvNwtDSu083RmIeDJfHn3Nds9iv/9VnD7nLLu/teQ/iUYKDYr9m7t+037Ur9\nPfQKm727rIrfDJsWHKEApdhQyWxvgXp51FvmawophXMxsjGPhMtH3h7OP3C6/UzbHvNMenVS\n+zrv3VObEbfb85pzpKA6qa3KNcdJ876KtamGOs2v05A//dCgnstsMO6BesFz92Gt4xf7cEb/\nN6e5WhOzmedSiT9Q1F9jd+s6ZNv7dxpXhy2eIOOn+dv23uQ79WOHFmnuUOfDITX3TkG1D8P8\nRLaufY5RoSBJ606pXM8O2+GDBOhB4u+g1wVKKUDq9ZNjgwhUisDtPvRUc/KUuGS+p7/Wgqoa\n7qYyBSv9eZ5KxOABWuu7HqR5j9HbntnurcW+bpGGxhYbftefxzhQ+9Jka930Ju0/exPtN18e\npHzEb7q/q5ud4UWyu2nIVjxsK2mblPe9gNIz66bZg1b9b2bBR/2s4Dr11KlyxHXBfcpeVrCh\nCv0mvXGJZxlsT1yhvwMlZkhq37AqaM7eGHuQ6wkZHtV7zWVKaq8bd58DtSmpvhrKPSnGjUqv\n3bAo2ql1fsY+Fa7RZ8292x2QtEPUzv4gc59ss0GPXvX07+QPdW1cFWavh+rVE5pNmNHe3nv4\nOg5t9GutQEh/PwqKtS6VFmzVkE3NJfP/JnQIqkY+aG9l9xvvP+/VZ2z/j2q4fl08RwKkLoLR\nfO8CBEh7N6IFAgMqMMuCOQqENLwt70BSWrdKdZdY0DFrVV7D3v6oOUaXWnD1nRa9qQBploU3\nTrYP1vjo7f2Vy/Z0w+OT+U9LPF7PJqYbJb8p+rlPzj5P2b4S23rFiCuDG4reaBf7MnXZQKSz\nDIMus7P1TGqvOUZK062bZfUGKrCNF/kcfJKN1LpTuvHV94dOsb/SPKCkvwWlX9dNdXyjHs8x\nGnqBeadwx8fweOFQ/7tRzfATbbzaj/NEDx1b7vo08tbgad1gDz/f/lCovhrK5HtQk8+98yGd\nueerHqXxL4Qbs3N+PAV7tm6qHRYHJLWX2Dm57ce9FmR7bSbkBK9jXwk2q/0e/y59KK3S5quu\nfrZdn7sdvdePI+pZ9CGmmzS01NPDP6AfSvLbZT97EBQPt4uPrcO6SAW/VNWFBEhVffn75uQJ\nkPrGla0i0GsC6pl506I9UuvGO1jkCU60eGv8mdeBE2h8P2qpvzg4N+kINLxNQ6U0fE43z5qr\nlP/rdO53lVxBc3Zyy6ruvQckMtWCmkp8oaBSwxLjhU3zPUZcbw906AHQL/CeJKP2Ajslv63s\nJ3ryCd2E6rroqfcqy78uGp6o3oJGzzimm+9sWw9axumG21Nnq6dCwUu8j5HXBfdnE2TMCq6K\n1wdSYKV039mbdw9+47ZDptv/F98IZ9c98uNS3djn0+vi8uGX2cVxe2UFVHnDonBnnKxBqb+1\nLpLKxzweJM4TjLdRsa8e+OiHimySkwIn6degwYcftsa9dxPW7br+Q84tnPSiYeWu3qK4Xr4T\nkjLT+XVT/UT/+yiwa4r6ToAAqe9sq3bLBEhVe+k58XIQ8CQmH/fkJW3eW3NV0vF6D9Pt6kVi\n7aEkof4r1xCapDlFOgqtF6NfmRUoKcOZepPqZqR9Olfhh9JBa52UwrVVUOrzNDRnS2ZaS8iD\nytPVK6A1ntSLEi+wGUuMeSqdDRCywYPf2I57IdgwYe0H6wnV32B/itsqAFK77A2tB0SNzenm\nxpb07qFTKs8NkrRuVHY4lQdJCsAaFoY7GpZHzXGgVHdp+qLd225/o5twzT/R8XsPU5MCpgnr\n/eY8f50ibz9kpp2sffr2dg3t2vU+G7DVX2k37bFtX1xU242DuuyrH5fPt3k1v201fda/JwWg\nce9eoXPX+lXqxVFd9m/A/5YKtcuWnWiNajPe0637vKM75FxXZG6e/i6yfzuJG6SiDwQIkPoA\ntdo3SYBU7X8BnH9JCygJg7I7TjM7OulAZ1j6BLXxxcS+ltSG8j0FJpt9dI6FT2iY4j0WvHWm\n2c/2bNW1kuHTg0m6eVYglP9NZUJT74cmi8d1nub6dd04//9/mT7vZgvn+5yud66z8FFfp+w7\nnuFsrhb+rOb1ZHwY0oPqNdq9vlAM568+jOpSWdeeFfxAxQecZT/ZfbPb3gMTN1eK82xdTtAT\n9xw1bkpl5w3FbfXauDnVpPbZniQV+AT+xqVR0+h7wzfNgzZPz3205rhkMxV6Agc/zoe8NzA7\nt0zNcx8afudpv/+goEhJAnwB2WG59fnvFQw1LA2aGt8NmpScIb8+//PwGaZjubXuwvQZOrb8\n+mr73D50tWgGvxGzgqu1wK9sdJ0n+KK8xZyybbynaeR96TcVIPk8oEOT2o95Mlil9kn11VQ+\n/DT7qieuOUdPve/DcydA6kPcat00AVK1XnnOuywE1Cuk3iG/aZ6bdMCepOFZtZnkmeSS2lDe\nUUDBiNZrkpuy8u1of/+GLy/g86t2D5Pq+K3OfcpODvcbd0/3/Xb9zPSpflN8rK/z8ydlq9I8\nFt1sx1s64hP26a89ErX+5fqatp+eGu087nvhmhOPjHYeMbem7c+9d2DEjLR3Ilbpw53U+6L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Fzcs2xq1wgyaIG4mSce3t00DNqSRYjQLKYJEzlgO+X96hpXdLqyNlGI/UvhV1/lGw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\nL40d4DUTsYbJk6GM/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BB5Cy68f1Og3A\nc0JuIDg6iBKmjlfE3wmQco6ud+ynOx2ID84CQH02TB4ubRtInpDqyyMoQqzQcpWtE6lB+QSu\n82At+tQ+zIWkseO0P3hGQA3dShj3mPMHc4Rwk5VNEUWP+wMSe5NWP26mWLLJs58b3qpGMV/C\nK443ER8Ex9G9jRukK2fIopwGSLDkFT3uDSqZ4b8DK86KYuQesje4zfR2qikOjPo2booALkE5\nXheMlykKQPT9MY4sKEvLEPtBUX0Iu4OMuRCTNpd9pbOarA06V/XuTBbBHqNkuPZpjBKBj7bB\nFXOzfW8FyVyj3d7Z64ltfgOBzYdDkpPSJY76gF5f5nP2fFC+RGBTNMIbHvbctDgltsQbNEcY\nY3QIvq7qLZ8OytONj79LFUu8A+zr3ke+xnuRYjsoy2u+U/YTwIX1t6kNPze9hsi9BY/JA8Gf\noah5DOV34OctSta1XzANOICURZWV6Ps8Cs88PpI8uX9b0IADSC0oyHU7DSwV/zABUrZ4I7rH\n0TJEbTGRrZIkhGkvCbiu+IAxRrDsfIdz020uTJZtk8RfTItUVL9rb9JAj4fkywQo+GL91abW\nzBrzuJDamK26yc2UaLqi6x1lzIZ9jIxgPdvGVzfunEHZ4bC1ur5pRquGL9FmvgjqbUuyU1UZ\na5LYFm8ge1fFAn9n+Tx/G3MR1RyKny0cEvt9xsOkEm3inRmgqu9Dz2XLZb8tnziWCaRUTs+2\nLOsKhAiaAZSO0GpUcyB+lvej5SNDPhVQr3MFz2VvZq6laktTEtagLK67FDjqAQsQn7FwrDct\nQ2fWRfUmv57MgGwiZXgV4u2s7owqwTLfifl5oEsb5iaYzhCyLmAR2qZscXBf22TqQ6PTqKQI\nOvZaU7hq19aAA0hd+/1elqdzAOmyqN3dtDNpgDFGBDHZ1kzrEkESZbaBhnuoeI9mkz8EWRIy\ngKDhQVqIssk+Lt7jm1rIfZRt/GXqy/hin20Nt4K44s5WEtXQWobcCcsniLwSNWflCv9Y+by4\n+br8BAx6syS2fqjIIMrDTeiz3LjDojGW18pgF8U2phtfjVHS6/w3Mq0GnKt8n5xgvwKoawbJ\nHUY+Ik+KJiUtGA6HvC5y5D8onycQKnvJ23CV7YqEYPriZ/xXaSXI7+99Xx9X9Zk4m2m1KV8j\nh7VP7koSahTPk43a9qFhNOw2HXx/7FPdN/XgB6af3ExwxHw0cIMyeamKnvDgKRt+IO9RMtYE\n85k5z8AS1F++FyrdX76poFjXVn0g2gUzdI5O0Fg81pvO50PS4XjUcmkppKWH/eUL/V1ww1sa\nJct2/J4ehTvdLJI9mI8aWSw+hU94j1GGsUik7U/sbh73ad8rsdlvIGCz21y9S2sgpwDS/8Cr\n/Ph5vk5+tVOL0nlO1WWHO4DUZV+te7ALpYEkYUJ2gETrEUkYeE+SLIA1bkrU/X8NLyHKMj4J\n5aeMP2JblPxY8Wctb3LJixK77O1I+ALPI38WmfH4fASBJIaIiovqJ94PyMhHAgmNuaKrYV3I\n3/5+Iv+HIDVZkjFarJ8W86U+A4zl9/O+/adIzPgfY7ud217ezcRzcf6FX+p27s83wJLwln9Q\nkOFeFaYbW250yWrH9pLFslPb7UD7omWyJ90Oim/4U/aJT5WX1K3KbCInSvrdawJWtpe9nrf7\nmsHyX+UL8rZpUDmJHHQdXeHM2JDK5Uh8O1G8sOcpe9nboNa78pViYleMdS5EuHRJUtcKelTv\n0lv+KkQ8HRcEKPzjsH7X1n4NaD4vsRIdB2czrm2pjwHl8/3tBExBGfu6ao1/omic9ywT9xqA\nNARQOOJI3x/WJvz8GLAbIWqa6ULrqLWzaajL9eUUQFqG18d4ovM56JOMfYc7smjAAaQsynFd\nTgPUwATJe5kb7GclyXwW1ApijT7Hzfp2iZvNLim5AWjoXpKxcddxZJ6jxYmAgoWJWqNijEj4\nsBaA42nxF+r4jni+A0x4YNs7tgOkESR/6Cex22gdIzEEASCtYPa6ybTH9hclvomseiSRgNXt\nMZJHMBEudaryA0T+U8HRSQCi+cgft1RihxtQ13aV5Xmj+KeXfabbua++2+3cH4EA4ePb4mf+\n24H4uY+e63bu5yO6nVtyVXPXn6AVgC5Y3JDXnGnOQla8Sg7pZp1y3Nzp9YdfkGZuQpUrYkfY\nTzktvEYOJI1Ds5ffqeu0HjH2KOohCvp73+OzwxLwcdV5ttgO1SvnY13BUtj8jE2iTKIh0xoV\nJuva2qYBstdRt8wnFjWyervfqJYdAJ8Zia2IMbI+RNjjSPvNjwQkVWE745WY2NeWsetVa5HD\nDEQNbCOJA9cCFsJQq566A5L6257D1bu0BnIOIPErXNV5FG5WHEDK/jvhAFJ2/bjeDqABbJDv\nXIbNN13XYJ05OVxioy/1sriZ52YcvlBYTtPxGxBaad+9Il9jDzb3nyXoYfJX/O8fb5ImxaZ3\nK8ERQMRz2k5rE1nwYE36ubbxTPA0G4QOpOOuC7Gq2LKXuw7iifdpOcI6m+U5AfgbTysRY664\nzvtEvkDWPeZsCq6bLnSMt2Icl/YpCApzq1slsRPsP5G0JAn8Gh/i9VFeI1AaG/Jbiod7wwqH\n+X173i/X8r7s7yvCv32Zx6NyR6Ix1kiLBmNdsm3cOZBAiaQMLD1fNTntMucLXBWNkSllS/L2\nFk6QWYGurnH5kFxNAGizkwUfrPv98lHKFPTxvpEGSEEh65obYRY28ZwNIKmMbfGzpsqpas/e\n8kUwwL3G3Fu0vmTND3S31Fbv9hprzyKPFtwJK9bmhcYOVa/3T9NFsnCizElsB0PgYYBREDfQ\nRRT3Mnm9SNZARfe4Xz5CsBzmZgdwXECqb9Lt60spezHJSlcIMg9t07PGkfEepg2/1wRLpPMn\nc53K8cyfL8aYmbxEcOu0+1y9S2sg5wCSnVS1vXUHkLL/TjiAlF0/rvcyawA02qC9Tm5qSU/N\nOB8yxpElDuDkY5dqeQ+JGDKF5Oa727kNWNf+VGwS26ZK7C17LXSd2481pqw/CwiI5oq/net/\nVuLMwZNhXSIRA+dZJPH9E8V/bbrEVwAQnmEhkYM9d0erwy/mk3wu0pVHre0NiR8Axflq9uP5\nFqUsbKHiTG5Lix2e++beIjdRL8dSAChsAPtZ2HcgZVXCH/6iMFmAs+souyNl7QuTcW3t10C7\nLEipGKOwuwYBkoKlMNnSt2Q/wVcYo12YfJdsAyhgvJXqjZYZU4frW5j1h2AoLZsCo9Qh24qm\ny5u2jq68T76QIQsLkH0NC9A+W75wUOw/mZSZYIhWxfyBsZ+R+psU+2SwY7yaLW+Y7HBfArHS\n6f5bZTP8ZZoXqeLNTOtSr/7yXRIxMOYJz3sYQHAN7nOI5A185oJH5Kf23K7e5TWQUwAJ/4/J\n2AtQvt7lfyzO7wEdQDo//bnRF1EDCo4WIL+PfZvJyP/DTa6de8juv1h1upFhTaeTIC25KQcI\nguUn/D/jOlhTJoj/Ci0idD+DlWU93Ml+FrW+PuJ9l1YnxuUATO2AZWky7lkSJd9R2kE2cc/h\nJEDJAH32+vgsq+A+xzaCpafEf9XuD9aZQwquiGPekdgRgqVR0jyrvY7ZK36aRIOxT3w/2hd2\n5s8OLVphfa7t/DTQlhikojmylhvsKKtQ1Z4kS5zGKKnFCbTaW8JWqZv1lix/YWO7ShuJCei6\nxiSqSqFN9zgSIlA/xc948/VZy5fKPtVZ4aQm0pOyxbJb23uMAC1D6qBVhu01h/0zBCIKpGoJ\nSvgeUy5wKs9zwUPyFRJ20KrDdVVvjzcyLxKsuTW2nNZpJVJZgh/GEpEgQvvtM61F5Qu9XSTe\nICji/Sve8PZd/UA0I6g93tW7lAZyCiB1qTfXgR/GAaQO/HJyeWnwY/sVN7IAR6FUrWPFm8n+\n6eJnWG5yWWeX69kfFb93S0x8jLGiCx7XSMAI4Dgv23ohW88xbyHWiAAJ7nUvRsnvawdAoqtd\n1Hw50X6X/AVdqnQjbDa4IKlgzp+w56/alHfKljXyZHcL5HtRFjsmDa1+3z9FKmdQP58FNfOW\nMuanCbDYKegxIMmaK2HlRUqvB+QLuobE/qa8Rz1HNuUpqmlsHjOWHt/FK6Tgpn7I+Bb2qMay\nBNCh+ahUl8F3yLE9H5O70/24LpmWtxiA6FzZ/Ng2ndvkQwJpAq81WWzh+OgPGWH30bnc2Wng\nPDXgAFKIAn20/TFKXkifa2pZAw4gtawjJ3EZNACLy1ECoGy3psvd7hYosrONd30XRgPqEveg\neN+ImvEliW8mYQP7p4i/9E2Jp+MPgmMQw/V5vnuw330fLnZ/xbrGGAVlec1+/VnZCdc51h8U\nCV0LrH2/Yf97IHIImysX2npNELOR1g1w7blMoFSxQg7berCBFGXta84hd8ufqvyV90hF1Xv+\nKX79p8WBlovKd/1jBEqULZnsLVRZPStI0vXwzM04zwWTMoFx4fPydqo/TYyh46Ko2vU+Xf1s\n8hBlob8mRTZ1RVe7/LEyifXqrbH6KL0wHoky7Ge8kdaj5Nmf2Oefiep37U4DF1EDOQ+QvgXl\nps29qDPgl//JMj5pJ8rXUNzRNg04gNQ2fTnpS6SBLSBkaMkNag/iczQ56yVa1iW9TR2IGRDf\n85mbJJwy2V7MnfiIC4DyTYCL6+32sDpdBedLbNdy8Y4jIrpFwoDnRVbvgpVms/gN+DQNfoPm\nB93mED91oJ/Iv7wr/gnG+DDBbp3IpxmPRdc3jVECoPpqGLMdZ/0JWPvmi7+bpBy4NB++FADN\nEFlJGfvYJJ6JUTuK9bH9Afw/QHne73aRq21Z6Cih7pGs2325VOdGlqVwpmTkqekxUG7XPs37\nU7U17zTbjIUnoKTKTXkng310p6r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Kah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\nSUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Asignamos a Y si supera o no el curso\n",
    "Y <- Alumnos_usos_sociales[,34]\n",
    "\n",
    "# Dibujamos primero todos los scores de comp1 y comp2\n",
    "Xscores <- (Xpca$scores)\n",
    "plot(Xscores[,(1)], Xscores[,(2)])\n",
    "\n",
    "# Asignamos rojo a 'no supera' y verde a 'si supera'\n",
    "points(Xscores[Y==\"No\",1], Xscores[Y==\"No\",2], col=\"red\")\n",
    "points(Xscores[Y==\"Si\",1], Xscores[Y==\"Si\",2], col=\"green\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Visualización mejorada\n",
    "\n",
    "Ahora visualizaremos el mismo gráfico anterior, pero esta vez generado a traves de `ggbiplot` para mejorar la información."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "ename": "ERROR",
     "evalue": "Error in library(devtools): there is no package called ‘devtools’\n",
     "output_type": "error",
     "traceback": [
      "Error in library(devtools): there is no package called ‘devtools’\nTraceback:\n",
      "1. library(devtools)",
      "2. stop(txt, domain = NA)"
     ]
    }
   ],
   "source": [
    "library(devtools)\n",
    "install_github(\"vqv/ggbiplot\",options(unzip='internal'))\n",
    "library(ggbiplot)\n",
    "\n",
    "X.pca <- prcomp(X)\n",
    "\n",
    "ggbiplot(X.pca, obs.scale = 1, var.scale = 1,\n",
    "         groups = Y, ellipse = TRUE, circle = TRUE) +\n",
    "  scale_color_discrete(name = '') +\n",
    "  theme(legend.direction = 'horizontal', legend.position = 'top')"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "R",
   "language": "R",
   "name": "ir"
  },
  "language_info": {
   "codemirror_mode": "r",
   "file_extension": ".r",
   "mimetype": "text/x-r-source",
   "name": "R",
   "pygments_lexer": "r",
   "version": "3.5.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}