PCA_asphalt-def.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Principal Components Analysis using R"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<dl>\n",
       "\t<dt>$platform</dt>\n",
       "\t\t<dd>'x86_64-pc-linux-gnu'</dd>\n",
       "\t<dt>$arch</dt>\n",
       "\t\t<dd>'x86_64'</dd>\n",
       "\t<dt>$os</dt>\n",
       "\t\t<dd>'linux-gnu'</dd>\n",
       "\t<dt>$system</dt>\n",
       "\t\t<dd>'x86_64, linux-gnu'</dd>\n",
       "\t<dt>$status</dt>\n",
       "\t\t<dd>''</dd>\n",
       "\t<dt>$major</dt>\n",
       "\t\t<dd>'3'</dd>\n",
       "\t<dt>$minor</dt>\n",
       "\t\t<dd>'4.4'</dd>\n",
       "\t<dt>$year</dt>\n",
       "\t\t<dd>'2018'</dd>\n",
       "\t<dt>$month</dt>\n",
       "\t\t<dd>'03'</dd>\n",
       "\t<dt>$day</dt>\n",
       "\t\t<dd>'15'</dd>\n",
       "\t<dt>$`svn rev`</dt>\n",
       "\t\t<dd>'74408'</dd>\n",
       "\t<dt>$language</dt>\n",
       "\t\t<dd>'R'</dd>\n",
       "\t<dt>$version.string</dt>\n",
       "\t\t<dd>'R version 3.4.4 (2018-03-15)'</dd>\n",
       "\t<dt>$nickname</dt>\n",
       "\t\t<dd>'Someone to Lean On'</dd>\n",
       "</dl>\n"
      ],
      "text/latex": [
       "\\begin{description}\n",
       "\\item[\\$platform] 'x86\\_64-pc-linux-gnu'\n",
       "\\item[\\$arch] 'x86\\_64'\n",
       "\\item[\\$os] 'linux-gnu'\n",
       "\\item[\\$system] 'x86\\_64, linux-gnu'\n",
       "\\item[\\$status] ''\n",
       "\\item[\\$major] '3'\n",
       "\\item[\\$minor] '4.4'\n",
       "\\item[\\$year] '2018'\n",
       "\\item[\\$month] '03'\n",
       "\\item[\\$day] '15'\n",
       "\\item[\\$`svn rev`] '74408'\n",
       "\\item[\\$language] 'R'\n",
       "\\item[\\$version.string] 'R version 3.4.4 (2018-03-15)'\n",
       "\\item[\\$nickname] 'Someone to Lean On'\n",
       "\\end{description}\n"
      ],
      "text/markdown": [
       "$platform\n",
       ":   'x86_64-pc-linux-gnu'\n",
       "$arch\n",
       ":   'x86_64'\n",
       "$os\n",
       ":   'linux-gnu'\n",
       "$system\n",
       ":   'x86_64, linux-gnu'\n",
       "$status\n",
       ":   ''\n",
       "$major\n",
       ":   '3'\n",
       "$minor\n",
       ":   '4.4'\n",
       "$year\n",
       ":   '2018'\n",
       "$month\n",
       ":   '03'\n",
       "$day\n",
       ":   '15'\n",
       "$`svn rev`\n",
       ":   '74408'\n",
       "$language\n",
       ":   'R'\n",
       "$version.string\n",
       ":   'R version 3.4.4 (2018-03-15)'\n",
       "$nickname\n",
       ":   'Someone to Lean On'\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "$platform\n",
       "[1] \"x86_64-pc-linux-gnu\"\n",
       "\n",
       "$arch\n",
       "[1] \"x86_64\"\n",
       "\n",
       "$os\n",
       "[1] \"linux-gnu\"\n",
       "\n",
       "$system\n",
       "[1] \"x86_64, linux-gnu\"\n",
       "\n",
       "$status\n",
       "[1] \"\"\n",
       "\n",
       "$major\n",
       "[1] \"3\"\n",
       "\n",
       "$minor\n",
       "[1] \"4.4\"\n",
       "\n",
       "$year\n",
       "[1] \"2018\"\n",
       "\n",
       "$month\n",
       "[1] \"03\"\n",
       "\n",
       "$day\n",
       "[1] \"15\"\n",
       "\n",
       "$`svn rev`\n",
       "[1] \"74408\"\n",
       "\n",
       "$language\n",
       "[1] \"R\"\n",
       "\n",
       "$version.string\n",
       "[1] \"R version 3.4.4 (2018-03-15)\"\n",
       "\n",
       "$nickname\n",
       "[1] \"Someone to Lean On\"\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "R.Version()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Loading required package: devtools\n",
      "Skipping install of 'factoextra' from a github remote, the SHA1 (1012e1b5) has not changed since last install.\n",
      "  Use `force = TRUE` to force installation\n"
     ]
    }
   ],
   "source": [
    "if(!require(devtools)) install.packages(\"devtools\")\n",
    "devtools::install_github(\"kassambara/factoextra\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Installing package into ‘/home/david/R/x86_64-pc-linux-gnu-library/3.4’\n",
      "(as ‘lib’ is unspecified)\n",
      "Installing package into ‘/home/david/R/x86_64-pc-linux-gnu-library/3.4’\n",
      "(as ‘lib’ is unspecified)\n"
     ]
    }
   ],
   "source": [
    "install.packages(\"FactoMineR\")\n",
    "install.packages(\"tidyverse\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Loading required package: ggplot2\n",
      "Welcome! Want to learn more? See two factoextra-related books at https://goo.gl/ve3WBa\n",
      "── Attaching packages ─────────────────────────────────────── tidyverse 1.2.1 ──\n",
      "✔ tibble  2.0.1     ✔ purrr   0.3.0\n",
      "✔ tidyr   0.8.2     ✔ dplyr   0.7.8\n",
      "✔ readr   1.3.1     ✔ stringr 1.3.1\n",
      "✔ tibble  2.0.1     ✔ forcats 0.3.0\n",
      "── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──\n",
      "✖ dplyr::filter() masks stats::filter()\n",
      "✖ dplyr::lag()    masks stats::lag()\n"
     ]
    }
   ],
   "source": [
    "library(factoextra)\n",
    "library(FactoMineR)\n",
    "library(tidyverse)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>asp.code</th><th scope=col>srf.fr.eng</th><th scope=col>saturates</th><th scope=col>aromatics</th><th scope=col>resins</th><th scope=col>asptenes</th><th scope=col>wax</th><th scope=col>carbon</th><th scope=col>hydrogen</th><th scope=col>oxygen</th><th scope=col>nitrogen</th><th scope=col>sulfur</th><th scope=col>nickel</th><th scope=col>vanadium</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>AAB-1</th><td>AAB-1</td><td>15.38</td><td> 8.6 </td><td>33.4 </td><td>38.3 </td><td>17.3 </td><td>3.85 </td><td>82.3 </td><td>10.60</td><td>0.80 </td><td>0.54 </td><td>4.70 </td><td> 56  </td><td> 220 </td></tr>\n",
       "\t<tr><th scope=row>AAB-2</th><td>AAB-2</td><td>16.09</td><td>10.8 </td><td>36.5 </td><td>35.7 </td><td>16.7 </td><td>5.05 </td><td>85.7 </td><td>10.59</td><td>1.06 </td><td>0.54 </td><td>5.40 </td><td> 36  </td><td> 163 </td></tr>\n",
       "\t<tr><th scope=row>AAD-1</th><td>AAD-1</td><td>16.51</td><td> 8.6 </td><td>25.1 </td><td>41.3 </td><td>20.5 </td><td>1.94 </td><td>81.6 </td><td>10.80</td><td>0.90 </td><td>0.77 </td><td>6.90 </td><td>145  </td><td> 310 </td></tr>\n",
       "\t<tr><th scope=row>AAD-2</th><td>AAD-2</td><td>16.79</td><td>10.0 </td><td>26.7 </td><td>40.1 </td><td>21.3 </td><td>1.41 </td><td>81.9 </td><td>10.30</td><td>1.17 </td><td>0.90 </td><td>8.30 </td><td>135  </td><td> 266 </td></tr>\n",
       "\t<tr><th scope=row>AAF-1</th><td>AAF-1</td><td>16.26</td><td> 9.6 </td><td>37.7 </td><td>38.3 </td><td>13.3 </td><td>4.19 </td><td>84.5 </td><td>10.40</td><td>1.10 </td><td>0.55 </td><td>3.40 </td><td> 35  </td><td>  87 </td></tr>\n",
       "\t<tr><th scope=row>AAF-2</th><td>AAF-2</td><td>14.81</td><td>11.9 </td><td>34.6 </td><td>38.7 </td><td>13.0 </td><td>4.20 </td><td>84.8 </td><td>10.20</td><td>0.82 </td><td>0.28 </td><td>4.60 </td><td> 22  </td><td> 102 </td></tr>\n",
       "\t<tr><th scope=row>AAG-1</th><td>AAG-1</td><td>25.79</td><td> 8.5 </td><td>32.5 </td><td>51.2 </td><td> 5.0 </td><td>1.13 </td><td>85.6 </td><td>10.50</td><td>1.10 </td><td>1.10 </td><td>1.30 </td><td> 95  </td><td>  37 </td></tr>\n",
       "\t<tr><th scope=row>AAG-2</th><td>AAG-2</td><td>27.09</td><td> 6.6 </td><td>35.3 </td><td>51.0 </td><td> 5.0 </td><td>1.11 </td><td>87.0 </td><td>10.50</td><td>1.93 </td><td>1.15 </td><td>2.90 </td><td> 11  </td><td>  33 </td></tr>\n",
       "\t<tr><th scope=row>AAH</th><td>AAH  </td><td>14.48</td><td>13.5 </td><td>28.6 </td><td>41.4 </td><td>15.9 </td><td>4.41 </td><td>86.3 </td><td>10.10</td><td>1.00 </td><td>0.80 </td><td>2.80 </td><td> 43  </td><td>  84 </td></tr>\n",
       "\t<tr><th scope=row>AAK-1</th><td>AAK-1</td><td>17.02</td><td> 5.1 </td><td>30.0 </td><td>41.8 </td><td>20.1 </td><td>1.17 </td><td>83.7 </td><td>10.20</td><td>0.80 </td><td>0.70 </td><td>6.40 </td><td>142  </td><td>1480 </td></tr>\n",
       "\t<tr><th scope=row>AAK-2</th><td>AAK-2</td><td>18.09</td><td> 7.5 </td><td>30.6 </td><td>39.4 </td><td>19.2 </td><td>1.14 </td><td>83.2 </td><td>10.30</td><td>1.14 </td><td>0.70 </td><td>6.90 </td><td>117  </td><td>1165 </td></tr>\n",
       "\t<tr><th scope=row>AAL</th><td>AAL  </td><td>16.27</td><td>12.1 </td><td>30.3 </td><td>37.3 </td><td>18.9 </td><td>1.23 </td><td>83.4 </td><td>10.10</td><td>1.00 </td><td>0.60 </td><td>5.50 </td><td> 98  </td><td> 244 </td></tr>\n",
       "\t<tr><th scope=row>AAM-1</th><td>AAM-1</td><td>24.11</td><td> 1.9 </td><td>41.9 </td><td>50.3 </td><td> 4.0 </td><td>4.21 </td><td>86.8 </td><td>11.20</td><td>0.50 </td><td>0.55 </td><td>1.20 </td><td> 36  </td><td>  58 </td></tr>\n",
       "\t<tr><th scope=row>AAN</th><td>AAN  </td><td>17.05</td><td>10.3 </td><td>40.1 </td><td>33.9 </td><td>15.7 </td><td>2.74 </td><td>84.5 </td><td>10.20</td><td>0.80 </td><td>0.70 </td><td>4.30 </td><td> 65  </td><td> 157 </td></tr>\n",
       "\t<tr><th scope=row>AAP</th><td>AAP  </td><td>20.44</td><td>13.2 </td><td>36.4 </td><td>36.9 </td><td>12.6 </td><td>4.77 </td><td>85.9 </td><td>10.90</td><td>0.80 </td><td>0.60 </td><td>1.70 </td><td> 68  </td><td> 128 </td></tr>\n",
       "\t<tr><th scope=row>AAS-2</th><td>AAS-2</td><td>16.27</td><td> 6.4 </td><td>46.4 </td><td>30.0 </td><td>17.1 </td><td>2.85 </td><td>83.1 </td><td> 9.80</td><td>0.96 </td><td>0.44 </td><td>6.76 </td><td> 37  </td><td> 133 </td></tr>\n",
       "\t<tr><th scope=row>AAS-3</th><td>AAS-3</td><td>17.27</td><td> 3.8 </td><td>39.9 </td><td>37.7 </td><td>17.3 </td><td>3.53 </td><td>81.7 </td><td>10.10</td><td>0.83 </td><td>0.48 </td><td>6.21 </td><td> 40  </td><td> 137 </td></tr>\n",
       "\t<tr><th scope=row>AAT</th><td>AAT  </td><td>15.86</td><td> 7.7 </td><td>32.3 </td><td>42.5 </td><td>17.3 </td><td>2.55 </td><td>83.9 </td><td>10.10</td><td>0.70 </td><td>0.60 </td><td>5.10 </td><td> 80  </td><td> 201 </td></tr>\n",
       "\t<tr><th scope=row>AAV</th><td>AAV  </td><td>17.94</td><td>10.9 </td><td>38.9 </td><td>39.5 </td><td> 9.7 </td><td>3.13 </td><td>86.4 </td><td>10.50</td><td>1.10 </td><td>0.80 </td><td>2.40 </td><td> 41  </td><td>  92 </td></tr>\n",
       "\t<tr><th scope=row>AAW</th><td>AAW  </td><td>15.52</td><td> 9.3 </td><td>37.1 </td><td>35.7 </td><td>17.9 </td><td>4.20 </td><td>84.5 </td><td>10.10</td><td>0.90 </td><td>0.70 </td><td>4.50 </td><td> 80  </td><td> 334 </td></tr>\n",
       "\t<tr><th scope=row>ABC</th><td>ABC  </td><td>13.77</td><td> 7.1 </td><td>44.0 </td><td>23.2 </td><td>25.6 </td><td>2.90 </td><td>83.2 </td><td> 9.90</td><td>0.40 </td><td>0.30 </td><td>6.40 </td><td> 25  </td><td>  37 </td></tr>\n",
       "\t<tr><th scope=row>ABD</th><td>ABD  </td><td>25.95</td><td>10.4 </td><td>28.4 </td><td>52.7 </td><td> 7.0 </td><td>0.81 </td><td>86.8 </td><td>10.70</td><td>1.20 </td><td>1.20 </td><td>1.60 </td><td>123  </td><td>  62 </td></tr>\n",
       "\t<tr><th scope=row>ABM-1</th><td>ABM-1</td><td>24.93</td><td> 9.0 </td><td>29.6 </td><td>52.4 </td><td> 7.1 </td><td>1.10 </td><td>86.3 </td><td>10.30</td><td>1.22 </td><td>1.09 </td><td>1.28 </td><td>111  </td><td>  63 </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llllllllllllll}\n",
       "  & asp.code & srf.fr.eng & saturates & aromatics & resins & asptenes & wax & carbon & hydrogen & oxygen & nitrogen & sulfur & nickel & vanadium\\\\\n",
       "\\hline\n",
       "\tAAB-1 & AAB-1 & 15.38 &  8.6  & 33.4  & 38.3  & 17.3  & 3.85  & 82.3  & 10.60 & 0.80  & 0.54  & 4.70  &  56   &  220 \\\\\n",
       "\tAAB-2 & AAB-2 & 16.09 & 10.8  & 36.5  & 35.7  & 16.7  & 5.05  & 85.7  & 10.59 & 1.06  & 0.54  & 5.40  &  36   &  163 \\\\\n",
       "\tAAD-1 & AAD-1 & 16.51 &  8.6  & 25.1  & 41.3  & 20.5  & 1.94  & 81.6  & 10.80 & 0.90  & 0.77  & 6.90  & 145   &  310 \\\\\n",
       "\tAAD-2 & AAD-2 & 16.79 & 10.0  & 26.7  & 40.1  & 21.3  & 1.41  & 81.9  & 10.30 & 1.17  & 0.90  & 8.30  & 135   &  266 \\\\\n",
       "\tAAF-1 & AAF-1 & 16.26 &  9.6  & 37.7  & 38.3  & 13.3  & 4.19  & 84.5  & 10.40 & 1.10  & 0.55  & 3.40  &  35   &   87 \\\\\n",
       "\tAAF-2 & AAF-2 & 14.81 & 11.9  & 34.6  & 38.7  & 13.0  & 4.20  & 84.8  & 10.20 & 0.82  & 0.28  & 4.60  &  22   &  102 \\\\\n",
       "\tAAG-1 & AAG-1 & 25.79 &  8.5  & 32.5  & 51.2  &  5.0  & 1.13  & 85.6  & 10.50 & 1.10  & 1.10  & 1.30  &  95   &   37 \\\\\n",
       "\tAAG-2 & AAG-2 & 27.09 &  6.6  & 35.3  & 51.0  &  5.0  & 1.11  & 87.0  & 10.50 & 1.93  & 1.15  & 2.90  &  11   &   33 \\\\\n",
       "\tAAH & AAH   & 14.48 & 13.5  & 28.6  & 41.4  & 15.9  & 4.41  & 86.3  & 10.10 & 1.00  & 0.80  & 2.80  &  43   &   84 \\\\\n",
       "\tAAK-1 & AAK-1 & 17.02 &  5.1  & 30.0  & 41.8  & 20.1  & 1.17  & 83.7  & 10.20 & 0.80  & 0.70  & 6.40  & 142   & 1480 \\\\\n",
       "\tAAK-2 & AAK-2 & 18.09 &  7.5  & 30.6  & 39.4  & 19.2  & 1.14  & 83.2  & 10.30 & 1.14  & 0.70  & 6.90  & 117   & 1165 \\\\\n",
       "\tAAL & AAL   & 16.27 & 12.1  & 30.3  & 37.3  & 18.9  & 1.23  & 83.4  & 10.10 & 1.00  & 0.60  & 5.50  &  98   &  244 \\\\\n",
       "\tAAM-1 & AAM-1 & 24.11 &  1.9  & 41.9  & 50.3  &  4.0  & 4.21  & 86.8  & 11.20 & 0.50  & 0.55  & 1.20  &  36   &   58 \\\\\n",
       "\tAAN & AAN   & 17.05 & 10.3  & 40.1  & 33.9  & 15.7  & 2.74  & 84.5  & 10.20 & 0.80  & 0.70  & 4.30  &  65   &  157 \\\\\n",
       "\tAAP & AAP   & 20.44 & 13.2  & 36.4  & 36.9  & 12.6  & 4.77  & 85.9  & 10.90 & 0.80  & 0.60  & 1.70  &  68   &  128 \\\\\n",
       "\tAAS-2 & AAS-2 & 16.27 &  6.4  & 46.4  & 30.0  & 17.1  & 2.85  & 83.1  &  9.80 & 0.96  & 0.44  & 6.76  &  37   &  133 \\\\\n",
       "\tAAS-3 & AAS-3 & 17.27 &  3.8  & 39.9  & 37.7  & 17.3  & 3.53  & 81.7  & 10.10 & 0.83  & 0.48  & 6.21  &  40   &  137 \\\\\n",
       "\tAAT & AAT   & 15.86 &  7.7  & 32.3  & 42.5  & 17.3  & 2.55  & 83.9  & 10.10 & 0.70  & 0.60  & 5.10  &  80   &  201 \\\\\n",
       "\tAAV & AAV   & 17.94 & 10.9  & 38.9  & 39.5  &  9.7  & 3.13  & 86.4  & 10.50 & 1.10  & 0.80  & 2.40  &  41   &   92 \\\\\n",
       "\tAAW & AAW   & 15.52 &  9.3  & 37.1  & 35.7  & 17.9  & 4.20  & 84.5  & 10.10 & 0.90  & 0.70  & 4.50  &  80   &  334 \\\\\n",
       "\tABC & ABC   & 13.77 &  7.1  & 44.0  & 23.2  & 25.6  & 2.90  & 83.2  &  9.90 & 0.40  & 0.30  & 6.40  &  25   &   37 \\\\\n",
       "\tABD & ABD   & 25.95 & 10.4  & 28.4  & 52.7  &  7.0  & 0.81  & 86.8  & 10.70 & 1.20  & 1.20  & 1.60  & 123   &   62 \\\\\n",
       "\tABM-1 & ABM-1 & 24.93 &  9.0  & 29.6  & 52.4  &  7.1  & 1.10  & 86.3  & 10.30 & 1.22  & 1.09  & 1.28  & 111   &   63 \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | asp.code | srf.fr.eng | saturates | aromatics | resins | asptenes | wax | carbon | hydrogen | oxygen | nitrogen | sulfur | nickel | vanadium | \n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| AAB-1 | AAB-1 | 15.38 |  8.6  | 33.4  | 38.3  | 17.3  | 3.85  | 82.3  | 10.60 | 0.80  | 0.54  | 4.70  |  56   |  220  | \n",
       "| AAB-2 | AAB-2 | 16.09 | 10.8  | 36.5  | 35.7  | 16.7  | 5.05  | 85.7  | 10.59 | 1.06  | 0.54  | 5.40  |  36   |  163  | \n",
       "| AAD-1 | AAD-1 | 16.51 |  8.6  | 25.1  | 41.3  | 20.5  | 1.94  | 81.6  | 10.80 | 0.90  | 0.77  | 6.90  | 145   |  310  | \n",
       "| AAD-2 | AAD-2 | 16.79 | 10.0  | 26.7  | 40.1  | 21.3  | 1.41  | 81.9  | 10.30 | 1.17  | 0.90  | 8.30  | 135   |  266  | \n",
       "| AAF-1 | AAF-1 | 16.26 |  9.6  | 37.7  | 38.3  | 13.3  | 4.19  | 84.5  | 10.40 | 1.10  | 0.55  | 3.40  |  35   |   87  | \n",
       "| AAF-2 | AAF-2 | 14.81 | 11.9  | 34.6  | 38.7  | 13.0  | 4.20  | 84.8  | 10.20 | 0.82  | 0.28  | 4.60  |  22   |  102  | \n",
       "| AAG-1 | AAG-1 | 25.79 |  8.5  | 32.5  | 51.2  |  5.0  | 1.13  | 85.6  | 10.50 | 1.10  | 1.10  | 1.30  |  95   |   37  | \n",
       "| AAG-2 | AAG-2 | 27.09 |  6.6  | 35.3  | 51.0  |  5.0  | 1.11  | 87.0  | 10.50 | 1.93  | 1.15  | 2.90  |  11   |   33  | \n",
       "| AAH | AAH   | 14.48 | 13.5  | 28.6  | 41.4  | 15.9  | 4.41  | 86.3  | 10.10 | 1.00  | 0.80  | 2.80  |  43   |   84  | \n",
       "| AAK-1 | AAK-1 | 17.02 |  5.1  | 30.0  | 41.8  | 20.1  | 1.17  | 83.7  | 10.20 | 0.80  | 0.70  | 6.40  | 142   | 1480  | \n",
       "| AAK-2 | AAK-2 | 18.09 |  7.5  | 30.6  | 39.4  | 19.2  | 1.14  | 83.2  | 10.30 | 1.14  | 0.70  | 6.90  | 117   | 1165  | \n",
       "| AAL | AAL   | 16.27 | 12.1  | 30.3  | 37.3  | 18.9  | 1.23  | 83.4  | 10.10 | 1.00  | 0.60  | 5.50  |  98   |  244  | \n",
       "| AAM-1 | AAM-1 | 24.11 |  1.9  | 41.9  | 50.3  |  4.0  | 4.21  | 86.8  | 11.20 | 0.50  | 0.55  | 1.20  |  36   |   58  | \n",
       "| AAN | AAN   | 17.05 | 10.3  | 40.1  | 33.9  | 15.7  | 2.74  | 84.5  | 10.20 | 0.80  | 0.70  | 4.30  |  65   |  157  | \n",
       "| AAP | AAP   | 20.44 | 13.2  | 36.4  | 36.9  | 12.6  | 4.77  | 85.9  | 10.90 | 0.80  | 0.60  | 1.70  |  68   |  128  | \n",
       "| AAS-2 | AAS-2 | 16.27 |  6.4  | 46.4  | 30.0  | 17.1  | 2.85  | 83.1  |  9.80 | 0.96  | 0.44  | 6.76  |  37   |  133  | \n",
       "| AAS-3 | AAS-3 | 17.27 |  3.8  | 39.9  | 37.7  | 17.3  | 3.53  | 81.7  | 10.10 | 0.83  | 0.48  | 6.21  |  40   |  137  | \n",
       "| AAT | AAT   | 15.86 |  7.7  | 32.3  | 42.5  | 17.3  | 2.55  | 83.9  | 10.10 | 0.70  | 0.60  | 5.10  |  80   |  201  | \n",
       "| AAV | AAV   | 17.94 | 10.9  | 38.9  | 39.5  |  9.7  | 3.13  | 86.4  | 10.50 | 1.10  | 0.80  | 2.40  |  41   |   92  | \n",
       "| AAW | AAW   | 15.52 |  9.3  | 37.1  | 35.7  | 17.9  | 4.20  | 84.5  | 10.10 | 0.90  | 0.70  | 4.50  |  80   |  334  | \n",
       "| ABC | ABC   | 13.77 |  7.1  | 44.0  | 23.2  | 25.6  | 2.90  | 83.2  |  9.90 | 0.40  | 0.30  | 6.40  |  25   |   37  | \n",
       "| ABD | ABD   | 25.95 | 10.4  | 28.4  | 52.7  |  7.0  | 0.81  | 86.8  | 10.70 | 1.20  | 1.20  | 1.60  | 123   |   62  | \n",
       "| ABM-1 | ABM-1 | 24.93 |  9.0  | 29.6  | 52.4  |  7.1  | 1.10  | 86.3  | 10.30 | 1.22  | 1.09  | 1.28  | 111   |   63  | \n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "      asp.code srf.fr.eng saturates aromatics resins asptenes wax  carbon\n",
       "AAB-1 AAB-1    15.38       8.6      33.4      38.3   17.3     3.85 82.3  \n",
       "AAB-2 AAB-2    16.09      10.8      36.5      35.7   16.7     5.05 85.7  \n",
       "AAD-1 AAD-1    16.51       8.6      25.1      41.3   20.5     1.94 81.6  \n",
       "AAD-2 AAD-2    16.79      10.0      26.7      40.1   21.3     1.41 81.9  \n",
       "AAF-1 AAF-1    16.26       9.6      37.7      38.3   13.3     4.19 84.5  \n",
       "AAF-2 AAF-2    14.81      11.9      34.6      38.7   13.0     4.20 84.8  \n",
       "AAG-1 AAG-1    25.79       8.5      32.5      51.2    5.0     1.13 85.6  \n",
       "AAG-2 AAG-2    27.09       6.6      35.3      51.0    5.0     1.11 87.0  \n",
       "AAH   AAH      14.48      13.5      28.6      41.4   15.9     4.41 86.3  \n",
       "AAK-1 AAK-1    17.02       5.1      30.0      41.8   20.1     1.17 83.7  \n",
       "AAK-2 AAK-2    18.09       7.5      30.6      39.4   19.2     1.14 83.2  \n",
       "AAL   AAL      16.27      12.1      30.3      37.3   18.9     1.23 83.4  \n",
       "AAM-1 AAM-1    24.11       1.9      41.9      50.3    4.0     4.21 86.8  \n",
       "AAN   AAN      17.05      10.3      40.1      33.9   15.7     2.74 84.5  \n",
       "AAP   AAP      20.44      13.2      36.4      36.9   12.6     4.77 85.9  \n",
       "AAS-2 AAS-2    16.27       6.4      46.4      30.0   17.1     2.85 83.1  \n",
       "AAS-3 AAS-3    17.27       3.8      39.9      37.7   17.3     3.53 81.7  \n",
       "AAT   AAT      15.86       7.7      32.3      42.5   17.3     2.55 83.9  \n",
       "AAV   AAV      17.94      10.9      38.9      39.5    9.7     3.13 86.4  \n",
       "AAW   AAW      15.52       9.3      37.1      35.7   17.9     4.20 84.5  \n",
       "ABC   ABC      13.77       7.1      44.0      23.2   25.6     2.90 83.2  \n",
       "ABD   ABD      25.95      10.4      28.4      52.7    7.0     0.81 86.8  \n",
       "ABM-1 ABM-1    24.93       9.0      29.6      52.4    7.1     1.10 86.3  \n",
       "      hydrogen oxygen nitrogen sulfur nickel vanadium\n",
       "AAB-1 10.60    0.80   0.54     4.70    56     220    \n",
       "AAB-2 10.59    1.06   0.54     5.40    36     163    \n",
       "AAD-1 10.80    0.90   0.77     6.90   145     310    \n",
       "AAD-2 10.30    1.17   0.90     8.30   135     266    \n",
       "AAF-1 10.40    1.10   0.55     3.40    35      87    \n",
       "AAF-2 10.20    0.82   0.28     4.60    22     102    \n",
       "AAG-1 10.50    1.10   1.10     1.30    95      37    \n",
       "AAG-2 10.50    1.93   1.15     2.90    11      33    \n",
       "AAH   10.10    1.00   0.80     2.80    43      84    \n",
       "AAK-1 10.20    0.80   0.70     6.40   142    1480    \n",
       "AAK-2 10.30    1.14   0.70     6.90   117    1165    \n",
       "AAL   10.10    1.00   0.60     5.50    98     244    \n",
       "AAM-1 11.20    0.50   0.55     1.20    36      58    \n",
       "AAN   10.20    0.80   0.70     4.30    65     157    \n",
       "AAP   10.90    0.80   0.60     1.70    68     128    \n",
       "AAS-2  9.80    0.96   0.44     6.76    37     133    \n",
       "AAS-3 10.10    0.83   0.48     6.21    40     137    \n",
       "AAT   10.10    0.70   0.60     5.10    80     201    \n",
       "AAV   10.50    1.10   0.80     2.40    41      92    \n",
       "AAW   10.10    0.90   0.70     4.50    80     334    \n",
       "ABC    9.90    0.40   0.30     6.40    25      37    \n",
       "ABD   10.70    1.20   1.20     1.60   123      62    \n",
       "ABM-1 10.30    1.22   1.09     1.28   111      63    "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Load the data\n",
    "data <- read.table(\"asphalt_binder.csv\",header=TRUE,sep=\",\",check.names = TRUE)\n",
    "rownames(data) <- data[,1]\n",
    "data\n",
    "#?read.table"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>saturates</th><th scope=col>aromatics</th><th scope=col>resins</th><th scope=col>asptenes</th><th scope=col>wax</th><th scope=col>carbon</th><th scope=col>hydrogen</th><th scope=col>oxygen</th><th scope=col>nitrogen</th><th scope=col>sulfur</th><th scope=col>nickel</th><th scope=col>vanadium</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>AAB-1</th><td> 8.6 </td><td>33.4 </td><td>38.3 </td><td>17.3 </td><td>3.85 </td><td>82.3 </td><td>10.60</td><td>0.80 </td><td>0.54 </td><td>4.70 </td><td> 56  </td><td> 220 </td></tr>\n",
       "\t<tr><th scope=row>AAB-2</th><td>10.8 </td><td>36.5 </td><td>35.7 </td><td>16.7 </td><td>5.05 </td><td>85.7 </td><td>10.59</td><td>1.06 </td><td>0.54 </td><td>5.40 </td><td> 36  </td><td> 163 </td></tr>\n",
       "\t<tr><th scope=row>AAD-1</th><td> 8.6 </td><td>25.1 </td><td>41.3 </td><td>20.5 </td><td>1.94 </td><td>81.6 </td><td>10.80</td><td>0.90 </td><td>0.77 </td><td>6.90 </td><td>145  </td><td> 310 </td></tr>\n",
       "\t<tr><th scope=row>AAD-2</th><td>10.0 </td><td>26.7 </td><td>40.1 </td><td>21.3 </td><td>1.41 </td><td>81.9 </td><td>10.30</td><td>1.17 </td><td>0.90 </td><td>8.30 </td><td>135  </td><td> 266 </td></tr>\n",
       "\t<tr><th scope=row>AAF-1</th><td> 9.6 </td><td>37.7 </td><td>38.3 </td><td>13.3 </td><td>4.19 </td><td>84.5 </td><td>10.40</td><td>1.10 </td><td>0.55 </td><td>3.40 </td><td> 35  </td><td>  87 </td></tr>\n",
       "\t<tr><th scope=row>AAF-2</th><td>11.9 </td><td>34.6 </td><td>38.7 </td><td>13.0 </td><td>4.20 </td><td>84.8 </td><td>10.20</td><td>0.82 </td><td>0.28 </td><td>4.60 </td><td> 22  </td><td> 102 </td></tr>\n",
       "\t<tr><th scope=row>AAG-1</th><td> 8.5 </td><td>32.5 </td><td>51.2 </td><td> 5.0 </td><td>1.13 </td><td>85.6 </td><td>10.50</td><td>1.10 </td><td>1.10 </td><td>1.30 </td><td> 95  </td><td>  37 </td></tr>\n",
       "\t<tr><th scope=row>AAG-2</th><td> 6.6 </td><td>35.3 </td><td>51.0 </td><td> 5.0 </td><td>1.11 </td><td>87.0 </td><td>10.50</td><td>1.93 </td><td>1.15 </td><td>2.90 </td><td> 11  </td><td>  33 </td></tr>\n",
       "\t<tr><th scope=row>AAH</th><td>13.5 </td><td>28.6 </td><td>41.4 </td><td>15.9 </td><td>4.41 </td><td>86.3 </td><td>10.10</td><td>1.00 </td><td>0.80 </td><td>2.80 </td><td> 43  </td><td>  84 </td></tr>\n",
       "\t<tr><th scope=row>AAK-1</th><td> 5.1 </td><td>30.0 </td><td>41.8 </td><td>20.1 </td><td>1.17 </td><td>83.7 </td><td>10.20</td><td>0.80 </td><td>0.70 </td><td>6.40 </td><td>142  </td><td>1480 </td></tr>\n",
       "\t<tr><th scope=row>AAK-2</th><td> 7.5 </td><td>30.6 </td><td>39.4 </td><td>19.2 </td><td>1.14 </td><td>83.2 </td><td>10.30</td><td>1.14 </td><td>0.70 </td><td>6.90 </td><td>117  </td><td>1165 </td></tr>\n",
       "\t<tr><th scope=row>AAL</th><td>12.1 </td><td>30.3 </td><td>37.3 </td><td>18.9 </td><td>1.23 </td><td>83.4 </td><td>10.10</td><td>1.00 </td><td>0.60 </td><td>5.50 </td><td> 98  </td><td> 244 </td></tr>\n",
       "\t<tr><th scope=row>AAM-1</th><td> 1.9 </td><td>41.9 </td><td>50.3 </td><td> 4.0 </td><td>4.21 </td><td>86.8 </td><td>11.20</td><td>0.50 </td><td>0.55 </td><td>1.20 </td><td> 36  </td><td>  58 </td></tr>\n",
       "\t<tr><th scope=row>AAN</th><td>10.3 </td><td>40.1 </td><td>33.9 </td><td>15.7 </td><td>2.74 </td><td>84.5 </td><td>10.20</td><td>0.80 </td><td>0.70 </td><td>4.30 </td><td> 65  </td><td> 157 </td></tr>\n",
       "\t<tr><th scope=row>AAP</th><td>13.2 </td><td>36.4 </td><td>36.9 </td><td>12.6 </td><td>4.77 </td><td>85.9 </td><td>10.90</td><td>0.80 </td><td>0.60 </td><td>1.70 </td><td> 68  </td><td> 128 </td></tr>\n",
       "\t<tr><th scope=row>AAS-2</th><td> 6.4 </td><td>46.4 </td><td>30.0 </td><td>17.1 </td><td>2.85 </td><td>83.1 </td><td> 9.80</td><td>0.96 </td><td>0.44 </td><td>6.76 </td><td> 37  </td><td> 133 </td></tr>\n",
       "\t<tr><th scope=row>AAS-3</th><td> 3.8 </td><td>39.9 </td><td>37.7 </td><td>17.3 </td><td>3.53 </td><td>81.7 </td><td>10.10</td><td>0.83 </td><td>0.48 </td><td>6.21 </td><td> 40  </td><td> 137 </td></tr>\n",
       "\t<tr><th scope=row>AAT</th><td> 7.7 </td><td>32.3 </td><td>42.5 </td><td>17.3 </td><td>2.55 </td><td>83.9 </td><td>10.10</td><td>0.70 </td><td>0.60 </td><td>5.10 </td><td> 80  </td><td> 201 </td></tr>\n",
       "\t<tr><th scope=row>AAV</th><td>10.9 </td><td>38.9 </td><td>39.5 </td><td> 9.7 </td><td>3.13 </td><td>86.4 </td><td>10.50</td><td>1.10 </td><td>0.80 </td><td>2.40 </td><td> 41  </td><td>  92 </td></tr>\n",
       "\t<tr><th scope=row>AAW</th><td> 9.3 </td><td>37.1 </td><td>35.7 </td><td>17.9 </td><td>4.20 </td><td>84.5 </td><td>10.10</td><td>0.90 </td><td>0.70 </td><td>4.50 </td><td> 80  </td><td> 334 </td></tr>\n",
       "\t<tr><th scope=row>ABC</th><td> 7.1 </td><td>44.0 </td><td>23.2 </td><td>25.6 </td><td>2.90 </td><td>83.2 </td><td> 9.90</td><td>0.40 </td><td>0.30 </td><td>6.40 </td><td> 25  </td><td>  37 </td></tr>\n",
       "\t<tr><th scope=row>ABD</th><td>10.4 </td><td>28.4 </td><td>52.7 </td><td> 7.0 </td><td>0.81 </td><td>86.8 </td><td>10.70</td><td>1.20 </td><td>1.20 </td><td>1.60 </td><td>123  </td><td>  62 </td></tr>\n",
       "\t<tr><th scope=row>ABM-1</th><td> 9.0 </td><td>29.6 </td><td>52.4 </td><td> 7.1 </td><td>1.10 </td><td>86.3 </td><td>10.30</td><td>1.22 </td><td>1.09 </td><td>1.28 </td><td>111  </td><td>  63 </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llllllllllll}\n",
       "  & saturates & aromatics & resins & asptenes & wax & carbon & hydrogen & oxygen & nitrogen & sulfur & nickel & vanadium\\\\\n",
       "\\hline\n",
       "\tAAB-1 &  8.6  & 33.4  & 38.3  & 17.3  & 3.85  & 82.3  & 10.60 & 0.80  & 0.54  & 4.70  &  56   &  220 \\\\\n",
       "\tAAB-2 & 10.8  & 36.5  & 35.7  & 16.7  & 5.05  & 85.7  & 10.59 & 1.06  & 0.54  & 5.40  &  36   &  163 \\\\\n",
       "\tAAD-1 &  8.6  & 25.1  & 41.3  & 20.5  & 1.94  & 81.6  & 10.80 & 0.90  & 0.77  & 6.90  & 145   &  310 \\\\\n",
       "\tAAD-2 & 10.0  & 26.7  & 40.1  & 21.3  & 1.41  & 81.9  & 10.30 & 1.17  & 0.90  & 8.30  & 135   &  266 \\\\\n",
       "\tAAF-1 &  9.6  & 37.7  & 38.3  & 13.3  & 4.19  & 84.5  & 10.40 & 1.10  & 0.55  & 3.40  &  35   &   87 \\\\\n",
       "\tAAF-2 & 11.9  & 34.6  & 38.7  & 13.0  & 4.20  & 84.8  & 10.20 & 0.82  & 0.28  & 4.60  &  22   &  102 \\\\\n",
       "\tAAG-1 &  8.5  & 32.5  & 51.2  &  5.0  & 1.13  & 85.6  & 10.50 & 1.10  & 1.10  & 1.30  &  95   &   37 \\\\\n",
       "\tAAG-2 &  6.6  & 35.3  & 51.0  &  5.0  & 1.11  & 87.0  & 10.50 & 1.93  & 1.15  & 2.90  &  11   &   33 \\\\\n",
       "\tAAH & 13.5  & 28.6  & 41.4  & 15.9  & 4.41  & 86.3  & 10.10 & 1.00  & 0.80  & 2.80  &  43   &   84 \\\\\n",
       "\tAAK-1 &  5.1  & 30.0  & 41.8  & 20.1  & 1.17  & 83.7  & 10.20 & 0.80  & 0.70  & 6.40  & 142   & 1480 \\\\\n",
       "\tAAK-2 &  7.5  & 30.6  & 39.4  & 19.2  & 1.14  & 83.2  & 10.30 & 1.14  & 0.70  & 6.90  & 117   & 1165 \\\\\n",
       "\tAAL & 12.1  & 30.3  & 37.3  & 18.9  & 1.23  & 83.4  & 10.10 & 1.00  & 0.60  & 5.50  &  98   &  244 \\\\\n",
       "\tAAM-1 &  1.9  & 41.9  & 50.3  &  4.0  & 4.21  & 86.8  & 11.20 & 0.50  & 0.55  & 1.20  &  36   &   58 \\\\\n",
       "\tAAN & 10.3  & 40.1  & 33.9  & 15.7  & 2.74  & 84.5  & 10.20 & 0.80  & 0.70  & 4.30  &  65   &  157 \\\\\n",
       "\tAAP & 13.2  & 36.4  & 36.9  & 12.6  & 4.77  & 85.9  & 10.90 & 0.80  & 0.60  & 1.70  &  68   &  128 \\\\\n",
       "\tAAS-2 &  6.4  & 46.4  & 30.0  & 17.1  & 2.85  & 83.1  &  9.80 & 0.96  & 0.44  & 6.76  &  37   &  133 \\\\\n",
       "\tAAS-3 &  3.8  & 39.9  & 37.7  & 17.3  & 3.53  & 81.7  & 10.10 & 0.83  & 0.48  & 6.21  &  40   &  137 \\\\\n",
       "\tAAT &  7.7  & 32.3  & 42.5  & 17.3  & 2.55  & 83.9  & 10.10 & 0.70  & 0.60  & 5.10  &  80   &  201 \\\\\n",
       "\tAAV & 10.9  & 38.9  & 39.5  &  9.7  & 3.13  & 86.4  & 10.50 & 1.10  & 0.80  & 2.40  &  41   &   92 \\\\\n",
       "\tAAW &  9.3  & 37.1  & 35.7  & 17.9  & 4.20  & 84.5  & 10.10 & 0.90  & 0.70  & 4.50  &  80   &  334 \\\\\n",
       "\tABC &  7.1  & 44.0  & 23.2  & 25.6  & 2.90  & 83.2  &  9.90 & 0.40  & 0.30  & 6.40  &  25   &   37 \\\\\n",
       "\tABD & 10.4  & 28.4  & 52.7  &  7.0  & 0.81  & 86.8  & 10.70 & 1.20  & 1.20  & 1.60  & 123   &   62 \\\\\n",
       "\tABM-1 &  9.0  & 29.6  & 52.4  &  7.1  & 1.10  & 86.3  & 10.30 & 1.22  & 1.09  & 1.28  & 111   &   63 \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | saturates | aromatics | resins | asptenes | wax | carbon | hydrogen | oxygen | nitrogen | sulfur | nickel | vanadium | \n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| AAB-1 |  8.6  | 33.4  | 38.3  | 17.3  | 3.85  | 82.3  | 10.60 | 0.80  | 0.54  | 4.70  |  56   |  220  | \n",
       "| AAB-2 | 10.8  | 36.5  | 35.7  | 16.7  | 5.05  | 85.7  | 10.59 | 1.06  | 0.54  | 5.40  |  36   |  163  | \n",
       "| AAD-1 |  8.6  | 25.1  | 41.3  | 20.5  | 1.94  | 81.6  | 10.80 | 0.90  | 0.77  | 6.90  | 145   |  310  | \n",
       "| AAD-2 | 10.0  | 26.7  | 40.1  | 21.3  | 1.41  | 81.9  | 10.30 | 1.17  | 0.90  | 8.30  | 135   |  266  | \n",
       "| AAF-1 |  9.6  | 37.7  | 38.3  | 13.3  | 4.19  | 84.5  | 10.40 | 1.10  | 0.55  | 3.40  |  35   |   87  | \n",
       "| AAF-2 | 11.9  | 34.6  | 38.7  | 13.0  | 4.20  | 84.8  | 10.20 | 0.82  | 0.28  | 4.60  |  22   |  102  | \n",
       "| AAG-1 |  8.5  | 32.5  | 51.2  |  5.0  | 1.13  | 85.6  | 10.50 | 1.10  | 1.10  | 1.30  |  95   |   37  | \n",
       "| AAG-2 |  6.6  | 35.3  | 51.0  |  5.0  | 1.11  | 87.0  | 10.50 | 1.93  | 1.15  | 2.90  |  11   |   33  | \n",
       "| AAH | 13.5  | 28.6  | 41.4  | 15.9  | 4.41  | 86.3  | 10.10 | 1.00  | 0.80  | 2.80  |  43   |   84  | \n",
       "| AAK-1 |  5.1  | 30.0  | 41.8  | 20.1  | 1.17  | 83.7  | 10.20 | 0.80  | 0.70  | 6.40  | 142   | 1480  | \n",
       "| AAK-2 |  7.5  | 30.6  | 39.4  | 19.2  | 1.14  | 83.2  | 10.30 | 1.14  | 0.70  | 6.90  | 117   | 1165  | \n",
       "| AAL | 12.1  | 30.3  | 37.3  | 18.9  | 1.23  | 83.4  | 10.10 | 1.00  | 0.60  | 5.50  |  98   |  244  | \n",
       "| AAM-1 |  1.9  | 41.9  | 50.3  |  4.0  | 4.21  | 86.8  | 11.20 | 0.50  | 0.55  | 1.20  |  36   |   58  | \n",
       "| AAN | 10.3  | 40.1  | 33.9  | 15.7  | 2.74  | 84.5  | 10.20 | 0.80  | 0.70  | 4.30  |  65   |  157  | \n",
       "| AAP | 13.2  | 36.4  | 36.9  | 12.6  | 4.77  | 85.9  | 10.90 | 0.80  | 0.60  | 1.70  |  68   |  128  | \n",
       "| AAS-2 |  6.4  | 46.4  | 30.0  | 17.1  | 2.85  | 83.1  |  9.80 | 0.96  | 0.44  | 6.76  |  37   |  133  | \n",
       "| AAS-3 |  3.8  | 39.9  | 37.7  | 17.3  | 3.53  | 81.7  | 10.10 | 0.83  | 0.48  | 6.21  |  40   |  137  | \n",
       "| AAT |  7.7  | 32.3  | 42.5  | 17.3  | 2.55  | 83.9  | 10.10 | 0.70  | 0.60  | 5.10  |  80   |  201  | \n",
       "| AAV | 10.9  | 38.9  | 39.5  |  9.7  | 3.13  | 86.4  | 10.50 | 1.10  | 0.80  | 2.40  |  41   |   92  | \n",
       "| AAW |  9.3  | 37.1  | 35.7  | 17.9  | 4.20  | 84.5  | 10.10 | 0.90  | 0.70  | 4.50  |  80   |  334  | \n",
       "| ABC |  7.1  | 44.0  | 23.2  | 25.6  | 2.90  | 83.2  |  9.90 | 0.40  | 0.30  | 6.40  |  25   |   37  | \n",
       "| ABD | 10.4  | 28.4  | 52.7  |  7.0  | 0.81  | 86.8  | 10.70 | 1.20  | 1.20  | 1.60  | 123   |   62  | \n",
       "| ABM-1 |  9.0  | 29.6  | 52.4  |  7.1  | 1.10  | 86.3  | 10.30 | 1.22  | 1.09  | 1.28  | 111   |   63  | \n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "      saturates aromatics resins asptenes wax  carbon hydrogen oxygen nitrogen\n",
       "AAB-1  8.6      33.4      38.3   17.3     3.85 82.3   10.60    0.80   0.54    \n",
       "AAB-2 10.8      36.5      35.7   16.7     5.05 85.7   10.59    1.06   0.54    \n",
       "AAD-1  8.6      25.1      41.3   20.5     1.94 81.6   10.80    0.90   0.77    \n",
       "AAD-2 10.0      26.7      40.1   21.3     1.41 81.9   10.30    1.17   0.90    \n",
       "AAF-1  9.6      37.7      38.3   13.3     4.19 84.5   10.40    1.10   0.55    \n",
       "AAF-2 11.9      34.6      38.7   13.0     4.20 84.8   10.20    0.82   0.28    \n",
       "AAG-1  8.5      32.5      51.2    5.0     1.13 85.6   10.50    1.10   1.10    \n",
       "AAG-2  6.6      35.3      51.0    5.0     1.11 87.0   10.50    1.93   1.15    \n",
       "AAH   13.5      28.6      41.4   15.9     4.41 86.3   10.10    1.00   0.80    \n",
       "AAK-1  5.1      30.0      41.8   20.1     1.17 83.7   10.20    0.80   0.70    \n",
       "AAK-2  7.5      30.6      39.4   19.2     1.14 83.2   10.30    1.14   0.70    \n",
       "AAL   12.1      30.3      37.3   18.9     1.23 83.4   10.10    1.00   0.60    \n",
       "AAM-1  1.9      41.9      50.3    4.0     4.21 86.8   11.20    0.50   0.55    \n",
       "AAN   10.3      40.1      33.9   15.7     2.74 84.5   10.20    0.80   0.70    \n",
       "AAP   13.2      36.4      36.9   12.6     4.77 85.9   10.90    0.80   0.60    \n",
       "AAS-2  6.4      46.4      30.0   17.1     2.85 83.1    9.80    0.96   0.44    \n",
       "AAS-3  3.8      39.9      37.7   17.3     3.53 81.7   10.10    0.83   0.48    \n",
       "AAT    7.7      32.3      42.5   17.3     2.55 83.9   10.10    0.70   0.60    \n",
       "AAV   10.9      38.9      39.5    9.7     3.13 86.4   10.50    1.10   0.80    \n",
       "AAW    9.3      37.1      35.7   17.9     4.20 84.5   10.10    0.90   0.70    \n",
       "ABC    7.1      44.0      23.2   25.6     2.90 83.2    9.90    0.40   0.30    \n",
       "ABD   10.4      28.4      52.7    7.0     0.81 86.8   10.70    1.20   1.20    \n",
       "ABM-1  9.0      29.6      52.4    7.1     1.10 86.3   10.30    1.22   1.09    \n",
       "      sulfur nickel vanadium\n",
       "AAB-1 4.70    56     220    \n",
       "AAB-2 5.40    36     163    \n",
       "AAD-1 6.90   145     310    \n",
       "AAD-2 8.30   135     266    \n",
       "AAF-1 3.40    35      87    \n",
       "AAF-2 4.60    22     102    \n",
       "AAG-1 1.30    95      37    \n",
       "AAG-2 2.90    11      33    \n",
       "AAH   2.80    43      84    \n",
       "AAK-1 6.40   142    1480    \n",
       "AAK-2 6.90   117    1165    \n",
       "AAL   5.50    98     244    \n",
       "AAM-1 1.20    36      58    \n",
       "AAN   4.30    65     157    \n",
       "AAP   1.70    68     128    \n",
       "AAS-2 6.76    37     133    \n",
       "AAS-3 6.21    40     137    \n",
       "AAT   5.10    80     201    \n",
       "AAV   2.40    41      92    \n",
       "AAW   4.50    80     334    \n",
       "ABC   6.40    25      37    \n",
       "ABD   1.60   123      62    \n",
       "ABM-1 1.28   111      63    "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data_n <- data %>% select(3:14)\n",
    "data_n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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\nABgCxQ4AAACAIVDsAAAA/m+jYBQMEwAARkaDO1LijbgAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Compute principal component analysis\n",
    "library(FactoMineR)\n",
    "res.pca <- prcomp(data_n, scale = TRUE)\n",
    "# Percentage of information retained by each dimensions\n",
    "fviz_eig(res.pca)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "NULL\n"
     ]
    }
   ],
   "source": [
    "print(res.pca$ind)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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\nAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fviz_pca_ind(res.pca,\n",
    "             col.ind = \"cos2\", # Color by the quality of representation\n",
    "             gradient.cols = c(\"#00AFBB\", \"#E7B800\", \"#FC4E07\"),\n",
    "             repel = TRUE,     # Avoid text overlapping\n",
    "             axes = c(1,2), choix=c(\"ind\", \"var\")\n",
    "             )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fviz_pca_var(res.pca,\n",
    "             col.var = \"contrib\", # Color by contributions to the PC\n",
    "             gradient.cols = c(\"#00AFBB\", \"#E7B800\", \"#FC4E07\"),\n",
    "             repel = TRUE     # Avoid text overlapping\n",
    "             )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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\nQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fviz_pca_biplot(res.pca, repel = TRUE,\n",
    "                gradient.cols = c(\"#00AFBB\", \"#E7B800\", \"#FC4E07\"),\n",
    "                col.var = \"#2E9FDF\", # Variables color\n",
    "                col.ind = \"#696969\"  # Individuals color\n",
    "                )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>eigenvalue</th><th scope=col>variance.percent</th><th scope=col>cumulative.variance.percent</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>Dim.1</th><td>4.533873173</td><td>37.78227644</td><td> 37.78228  </td></tr>\n",
       "\t<tr><th scope=row>Dim.2</th><td>3.241996204</td><td>27.01663504</td><td> 64.79891  </td></tr>\n",
       "\t<tr><th scope=row>Dim.3</th><td>1.369640901</td><td>11.41367418</td><td> 76.21259  </td></tr>\n",
       "\t<tr><th scope=row>Dim.4</th><td>1.133813570</td><td> 9.44844642</td><td> 85.66103  </td></tr>\n",
       "\t<tr><th scope=row>Dim.5</th><td>0.585987465</td><td> 4.88322888</td><td> 90.54426  </td></tr>\n",
       "\t<tr><th scope=row>Dim.6</th><td>0.518161042</td><td> 4.31800868</td><td> 94.86227  </td></tr>\n",
       "\t<tr><th scope=row>Dim.7</th><td>0.273346644</td><td> 2.27788870</td><td> 97.14016  </td></tr>\n",
       "\t<tr><th scope=row>Dim.8</th><td>0.145919089</td><td> 1.21599241</td><td> 98.35615  </td></tr>\n",
       "\t<tr><th scope=row>Dim.9</th><td>0.111028329</td><td> 0.92523608</td><td> 99.28139  </td></tr>\n",
       "\t<tr><th scope=row>Dim.10</th><td>0.063788594</td><td> 0.53157162</td><td> 99.81296  </td></tr>\n",
       "\t<tr><th scope=row>Dim.11</th><td>0.020791708</td><td> 0.17326423</td><td> 99.98622  </td></tr>\n",
       "\t<tr><th scope=row>Dim.12</th><td>0.001653281</td><td> 0.01377734</td><td>100.00000  </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lll}\n",
       "  & eigenvalue & variance.percent & cumulative.variance.percent\\\\\n",
       "\\hline\n",
       "\tDim.1 & 4.533873173 & 37.78227644 &  37.78228  \\\\\n",
       "\tDim.2 & 3.241996204 & 27.01663504 &  64.79891  \\\\\n",
       "\tDim.3 & 1.369640901 & 11.41367418 &  76.21259  \\\\\n",
       "\tDim.4 & 1.133813570 &  9.44844642 &  85.66103  \\\\\n",
       "\tDim.5 & 0.585987465 &  4.88322888 &  90.54426  \\\\\n",
       "\tDim.6 & 0.518161042 &  4.31800868 &  94.86227  \\\\\n",
       "\tDim.7 & 0.273346644 &  2.27788870 &  97.14016  \\\\\n",
       "\tDim.8 & 0.145919089 &  1.21599241 &  98.35615  \\\\\n",
       "\tDim.9 & 0.111028329 &  0.92523608 &  99.28139  \\\\\n",
       "\tDim.10 & 0.063788594 &  0.53157162 &  99.81296  \\\\\n",
       "\tDim.11 & 0.020791708 &  0.17326423 &  99.98622  \\\\\n",
       "\tDim.12 & 0.001653281 &  0.01377734 & 100.00000  \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | eigenvalue | variance.percent | cumulative.variance.percent | \n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| Dim.1 | 4.533873173 | 37.78227644 |  37.78228   | \n",
       "| Dim.2 | 3.241996204 | 27.01663504 |  64.79891   | \n",
       "| Dim.3 | 1.369640901 | 11.41367418 |  76.21259   | \n",
       "| Dim.4 | 1.133813570 |  9.44844642 |  85.66103   | \n",
       "| Dim.5 | 0.585987465 |  4.88322888 |  90.54426   | \n",
       "| Dim.6 | 0.518161042 |  4.31800868 |  94.86227   | \n",
       "| Dim.7 | 0.273346644 |  2.27788870 |  97.14016   | \n",
       "| Dim.8 | 0.145919089 |  1.21599241 |  98.35615   | \n",
       "| Dim.9 | 0.111028329 |  0.92523608 |  99.28139   | \n",
       "| Dim.10 | 0.063788594 |  0.53157162 |  99.81296   | \n",
       "| Dim.11 | 0.020791708 |  0.17326423 |  99.98622   | \n",
       "| Dim.12 | 0.001653281 |  0.01377734 | 100.00000   | \n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "       eigenvalue  variance.percent cumulative.variance.percent\n",
       "Dim.1  4.533873173 37.78227644       37.78228                  \n",
       "Dim.2  3.241996204 27.01663504       64.79891                  \n",
       "Dim.3  1.369640901 11.41367418       76.21259                  \n",
       "Dim.4  1.133813570  9.44844642       85.66103                  \n",
       "Dim.5  0.585987465  4.88322888       90.54426                  \n",
       "Dim.6  0.518161042  4.31800868       94.86227                  \n",
       "Dim.7  0.273346644  2.27788870       97.14016                  \n",
       "Dim.8  0.145919089  1.21599241       98.35615                  \n",
       "Dim.9  0.111028329  0.92523608       99.28139                  \n",
       "Dim.10 0.063788594  0.53157162       99.81296                  \n",
       "Dim.11 0.020791708  0.17326423       99.98622                  \n",
       "Dim.12 0.001653281  0.01377734      100.00000                  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>Dim.1</th><th scope=col>Dim.2</th><th scope=col>Dim.3</th><th scope=col>Dim.4</th><th scope=col>Dim.5</th><th scope=col>Dim.6</th><th scope=col>Dim.7</th><th scope=col>Dim.8</th><th scope=col>Dim.9</th><th scope=col>Dim.10</th><th scope=col>Dim.11</th><th scope=col>Dim.12</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>saturates</th><td> 0.1190194   </td><td> 0.03314642  </td><td>-0.9450415588</td><td> 0.23600250  </td><td>-0.10192686  </td><td> 0.037653811 </td><td>-0.089981434 </td><td> 0.104080039 </td><td>-0.05894592  </td><td> 0.013236231 </td><td> 0.0379041678</td><td> 0.0105933016</td></tr>\n",
       "\t<tr><th scope=row>aromatics</th><td>-0.3732205   </td><td> 0.74631490  </td><td> 0.3104184428</td><td>-0.33107787  </td><td>-0.07462502  </td><td> 0.067075216 </td><td>-0.275275465 </td><td>-0.027193884 </td><td>-0.09029787  </td><td> 0.050641143 </td><td> 0.0098022891</td><td> 0.0187086687</td></tr>\n",
       "\t<tr><th scope=row>resins</th><td> 0.9067994   </td><td>-0.19486615  </td><td> 0.2394430483</td><td> 0.06054815  </td><td> 0.06624271  </td><td> 0.001816331 </td><td> 0.265497190 </td><td> 0.020714694 </td><td>-0.01226753  </td><td> 0.048684910 </td><td> 0.0132121028</td><td> 0.0271730581</td></tr>\n",
       "\t<tr><th scope=row>asptenes</th><td>-0.8791321   </td><td>-0.37037410  </td><td>-0.1990571939</td><td> 0.07625791  </td><td> 0.01072033  </td><td>-0.026103990 </td><td>-0.035296536 </td><td>-0.108960805 </td><td> 0.14914259  </td><td>-0.072672140 </td><td>-0.0514732875</td><td> 0.0205392376</td></tr>\n",
       "\t<tr><th scope=row>wax</th><td>-0.3346026   </td><td> 0.76049421  </td><td>-0.1490106503</td><td> 0.37241388  </td><td>-0.07576819  </td><td>-0.241225691 </td><td> 0.157197603 </td><td>-0.226998983 </td><td>-0.08212364  </td><td> 0.043294138 </td><td>-0.0003182365</td><td>-0.0020787979</td></tr>\n",
       "\t<tr><th scope=row>carbon</th><td> 0.7531457   </td><td> 0.46896912  </td><td>-0.0826727584</td><td>-0.01062238  </td><td>-0.38327361  </td><td> 0.088124652 </td><td>-0.041840347 </td><td>-0.022690932 </td><td> 0.19935987  </td><td> 0.093123975 </td><td>-0.0231114922</td><td>-0.0033407137</td></tr>\n",
       "\t<tr><th scope=row>hydrogen</th><td> 0.5647395   </td><td> 0.16758834  </td><td> 0.2834458775</td><td> 0.60661355  </td><td> 0.18156370  </td><td>-0.329827871 </td><td>-0.234629701 </td><td> 0.063897923 </td><td> 0.05551098  </td><td>-0.026090545 </td><td> 0.0028790961</td><td> 0.0023633994</td></tr>\n",
       "\t<tr><th scope=row>oxygen</th><td> 0.6147446   </td><td>-0.24921632  </td><td>-0.2698653338</td><td>-0.52357685  </td><td>-0.01895684  </td><td>-0.451444050 </td><td>-0.039884237 </td><td>-0.003095962 </td><td>-0.06057626  </td><td> 0.009600619 </td><td>-0.0591362759</td><td> 0.0002231795</td></tr>\n",
       "\t<tr><th scope=row>nitrogen</th><td> 0.8387734   </td><td>-0.40663799  </td><td>-0.0883582393</td><td>-0.18289550  </td><td> 0.06059825  </td><td> 0.056119554 </td><td>-0.127548929 </td><td>-0.240542421 </td><td> 0.02595065  </td><td>-0.058674228 </td><td> 0.0691314060</td><td>-0.0007472203</td></tr>\n",
       "\t<tr><th scope=row>sulfur</th><td>-0.7881598   </td><td>-0.49514267  </td><td>-0.0006136663</td><td>-0.14339433  </td><td> 0.12681095  </td><td>-0.247024512 </td><td>-0.003435569 </td><td> 0.012926522 </td><td> 0.09871925  </td><td> 0.148873257 </td><td> 0.0623263305</td><td>-0.0011346625</td></tr>\n",
       "\t<tr><th scope=row>nickel</th><td> 0.1464880   </td><td>-0.88084241  </td><td> 0.0297064492</td><td> 0.32402735  </td><td> 0.03283804  </td><td> 0.206472877 </td><td>-0.135360222 </td><td>-0.085903445 </td><td>-0.10003141  </td><td> 0.119970528 </td><td>-0.0544716975</td><td>-0.0020388782</td></tr>\n",
       "\t<tr><th scope=row>vanadium</th><td>-0.2510600   </td><td>-0.65869539  </td><td> 0.3038472527</td><td> 0.13819700  </td><td>-0.59894136  </td><td>-0.161907148 </td><td>-0.005685839 </td><td> 0.022411439 </td><td>-0.05780302  </td><td>-0.045598532 </td><td> 0.0276463108</td><td> 0.0019217208</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llllllllllll}\n",
       "  & Dim.1 & Dim.2 & Dim.3 & Dim.4 & Dim.5 & Dim.6 & Dim.7 & Dim.8 & Dim.9 & Dim.10 & Dim.11 & Dim.12\\\\\n",
       "\\hline\n",
       "\tsaturates &  0.1190194    &  0.03314642   & -0.9450415588 &  0.23600250   & -0.10192686   &  0.037653811  & -0.089981434  &  0.104080039  & -0.05894592   &  0.013236231  &  0.0379041678 &  0.0105933016\\\\\n",
       "\taromatics & -0.3732205    &  0.74631490   &  0.3104184428 & -0.33107787   & -0.07462502   &  0.067075216  & -0.275275465  & -0.027193884  & -0.09029787   &  0.050641143  &  0.0098022891 &  0.0187086687\\\\\n",
       "\tresins &  0.9067994    & -0.19486615   &  0.2394430483 &  0.06054815   &  0.06624271   &  0.001816331  &  0.265497190  &  0.020714694  & -0.01226753   &  0.048684910  &  0.0132121028 &  0.0271730581\\\\\n",
       "\tasptenes & -0.8791321    & -0.37037410   & -0.1990571939 &  0.07625791   &  0.01072033   & -0.026103990  & -0.035296536  & -0.108960805  &  0.14914259   & -0.072672140  & -0.0514732875 &  0.0205392376\\\\\n",
       "\twax & -0.3346026    &  0.76049421   & -0.1490106503 &  0.37241388   & -0.07576819   & -0.241225691  &  0.157197603  & -0.226998983  & -0.08212364   &  0.043294138  & -0.0003182365 & -0.0020787979\\\\\n",
       "\tcarbon &  0.7531457    &  0.46896912   & -0.0826727584 & -0.01062238   & -0.38327361   &  0.088124652  & -0.041840347  & -0.022690932  &  0.19935987   &  0.093123975  & -0.0231114922 & -0.0033407137\\\\\n",
       "\thydrogen &  0.5647395    &  0.16758834   &  0.2834458775 &  0.60661355   &  0.18156370   & -0.329827871  & -0.234629701  &  0.063897923  &  0.05551098   & -0.026090545  &  0.0028790961 &  0.0023633994\\\\\n",
       "\toxygen &  0.6147446    & -0.24921632   & -0.2698653338 & -0.52357685   & -0.01895684   & -0.451444050  & -0.039884237  & -0.003095962  & -0.06057626   &  0.009600619  & -0.0591362759 &  0.0002231795\\\\\n",
       "\tnitrogen &  0.8387734    & -0.40663799   & -0.0883582393 & -0.18289550   &  0.06059825   &  0.056119554  & -0.127548929  & -0.240542421  &  0.02595065   & -0.058674228  &  0.0691314060 & -0.0007472203\\\\\n",
       "\tsulfur & -0.7881598    & -0.49514267   & -0.0006136663 & -0.14339433   &  0.12681095   & -0.247024512  & -0.003435569  &  0.012926522  &  0.09871925   &  0.148873257  &  0.0623263305 & -0.0011346625\\\\\n",
       "\tnickel &  0.1464880    & -0.88084241   &  0.0297064492 &  0.32402735   &  0.03283804   &  0.206472877  & -0.135360222  & -0.085903445  & -0.10003141   &  0.119970528  & -0.0544716975 & -0.0020388782\\\\\n",
       "\tvanadium & -0.2510600    & -0.65869539   &  0.3038472527 &  0.13819700   & -0.59894136   & -0.161907148  & -0.005685839  &  0.022411439  & -0.05780302   & -0.045598532  &  0.0276463108 &  0.0019217208\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | Dim.1 | Dim.2 | Dim.3 | Dim.4 | Dim.5 | Dim.6 | Dim.7 | Dim.8 | Dim.9 | Dim.10 | Dim.11 | Dim.12 | \n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| saturates |  0.1190194    |  0.03314642   | -0.9450415588 |  0.23600250   | -0.10192686   |  0.037653811  | -0.089981434  |  0.104080039  | -0.05894592   |  0.013236231  |  0.0379041678 |  0.0105933016 | \n",
       "| aromatics | -0.3732205    |  0.74631490   |  0.3104184428 | -0.33107787   | -0.07462502   |  0.067075216  | -0.275275465  | -0.027193884  | -0.09029787   |  0.050641143  |  0.0098022891 |  0.0187086687 | \n",
       "| resins |  0.9067994    | -0.19486615   |  0.2394430483 |  0.06054815   |  0.06624271   |  0.001816331  |  0.265497190  |  0.020714694  | -0.01226753   |  0.048684910  |  0.0132121028 |  0.0271730581 | \n",
       "| asptenes | -0.8791321    | -0.37037410   | -0.1990571939 |  0.07625791   |  0.01072033   | -0.026103990  | -0.035296536  | -0.108960805  |  0.14914259   | -0.072672140  | -0.0514732875 |  0.0205392376 | \n",
       "| wax | -0.3346026    |  0.76049421   | -0.1490106503 |  0.37241388   | -0.07576819   | -0.241225691  |  0.157197603  | -0.226998983  | -0.08212364   |  0.043294138  | -0.0003182365 | -0.0020787979 | \n",
       "| carbon |  0.7531457    |  0.46896912   | -0.0826727584 | -0.01062238   | -0.38327361   |  0.088124652  | -0.041840347  | -0.022690932  |  0.19935987   |  0.093123975  | -0.0231114922 | -0.0033407137 | \n",
       "| hydrogen |  0.5647395    |  0.16758834   |  0.2834458775 |  0.60661355   |  0.18156370   | -0.329827871  | -0.234629701  |  0.063897923  |  0.05551098   | -0.026090545  |  0.0028790961 |  0.0023633994 | \n",
       "| oxygen |  0.6147446    | -0.24921632   | -0.2698653338 | -0.52357685   | -0.01895684   | -0.451444050  | -0.039884237  | -0.003095962  | -0.06057626   |  0.009600619  | -0.0591362759 |  0.0002231795 | \n",
       "| nitrogen |  0.8387734    | -0.40663799   | -0.0883582393 | -0.18289550   |  0.06059825   |  0.056119554  | -0.127548929  | -0.240542421  |  0.02595065   | -0.058674228  |  0.0691314060 | -0.0007472203 | \n",
       "| sulfur | -0.7881598    | -0.49514267   | -0.0006136663 | -0.14339433   |  0.12681095   | -0.247024512  | -0.003435569  |  0.012926522  |  0.09871925   |  0.148873257  |  0.0623263305 | -0.0011346625 | \n",
       "| nickel |  0.1464880    | -0.88084241   |  0.0297064492 |  0.32402735   |  0.03283804   |  0.206472877  | -0.135360222  | -0.085903445  | -0.10003141   |  0.119970528  | -0.0544716975 | -0.0020388782 | \n",
       "| vanadium | -0.2510600    | -0.65869539   |  0.3038472527 |  0.13819700   | -0.59894136   | -0.161907148  | -0.005685839  |  0.022411439  | -0.05780302   | -0.045598532  |  0.0276463108 |  0.0019217208 | \n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "          Dim.1      Dim.2       Dim.3         Dim.4       Dim.5      \n",
       "saturates  0.1190194  0.03314642 -0.9450415588  0.23600250 -0.10192686\n",
       "aromatics -0.3732205  0.74631490  0.3104184428 -0.33107787 -0.07462502\n",
       "resins     0.9067994 -0.19486615  0.2394430483  0.06054815  0.06624271\n",
       "asptenes  -0.8791321 -0.37037410 -0.1990571939  0.07625791  0.01072033\n",
       "wax       -0.3346026  0.76049421 -0.1490106503  0.37241388 -0.07576819\n",
       "carbon     0.7531457  0.46896912 -0.0826727584 -0.01062238 -0.38327361\n",
       "hydrogen   0.5647395  0.16758834  0.2834458775  0.60661355  0.18156370\n",
       "oxygen     0.6147446 -0.24921632 -0.2698653338 -0.52357685 -0.01895684\n",
       "nitrogen   0.8387734 -0.40663799 -0.0883582393 -0.18289550  0.06059825\n",
       "sulfur    -0.7881598 -0.49514267 -0.0006136663 -0.14339433  0.12681095\n",
       "nickel     0.1464880 -0.88084241  0.0297064492  0.32402735  0.03283804\n",
       "vanadium  -0.2510600 -0.65869539  0.3038472527  0.13819700 -0.59894136\n",
       "          Dim.6        Dim.7        Dim.8        Dim.9       Dim.10      \n",
       "saturates  0.037653811 -0.089981434  0.104080039 -0.05894592  0.013236231\n",
       "aromatics  0.067075216 -0.275275465 -0.027193884 -0.09029787  0.050641143\n",
       "resins     0.001816331  0.265497190  0.020714694 -0.01226753  0.048684910\n",
       "asptenes  -0.026103990 -0.035296536 -0.108960805  0.14914259 -0.072672140\n",
       "wax       -0.241225691  0.157197603 -0.226998983 -0.08212364  0.043294138\n",
       "carbon     0.088124652 -0.041840347 -0.022690932  0.19935987  0.093123975\n",
       "hydrogen  -0.329827871 -0.234629701  0.063897923  0.05551098 -0.026090545\n",
       "oxygen    -0.451444050 -0.039884237 -0.003095962 -0.06057626  0.009600619\n",
       "nitrogen   0.056119554 -0.127548929 -0.240542421  0.02595065 -0.058674228\n",
       "sulfur    -0.247024512 -0.003435569  0.012926522  0.09871925  0.148873257\n",
       "nickel     0.206472877 -0.135360222 -0.085903445 -0.10003141  0.119970528\n",
       "vanadium  -0.161907148 -0.005685839  0.022411439 -0.05780302 -0.045598532\n",
       "          Dim.11        Dim.12       \n",
       "saturates  0.0379041678  0.0105933016\n",
       "aromatics  0.0098022891  0.0187086687\n",
       "resins     0.0132121028  0.0271730581\n",
       "asptenes  -0.0514732875  0.0205392376\n",
       "wax       -0.0003182365 -0.0020787979\n",
       "carbon    -0.0231114922 -0.0033407137\n",
       "hydrogen   0.0028790961  0.0023633994\n",
       "oxygen    -0.0591362759  0.0002231795\n",
       "nitrogen   0.0691314060 -0.0007472203\n",
       "sulfur     0.0623263305 -0.0011346625\n",
       "nickel    -0.0544716975 -0.0020388782\n",
       "vanadium   0.0276463108  0.0019217208"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>Dim.1</th><th scope=col>Dim.2</th><th scope=col>Dim.3</th><th scope=col>Dim.4</th><th scope=col>Dim.5</th><th scope=col>Dim.6</th><th scope=col>Dim.7</th><th scope=col>Dim.8</th><th scope=col>Dim.9</th><th scope=col>Dim.10</th><th scope=col>Dim.11</th><th scope=col>Dim.12</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>saturates</th><td> 0.3124396  </td><td> 0.03388915 </td><td>6.520713e+01</td><td> 4.912375589</td><td> 1.77291916 </td><td>2.736233e-01</td><td> 2.962047878</td><td> 7.423740472</td><td> 3.1294909  </td><td> 0.2746538  </td><td>6.910091e+00</td><td> 6.787597177</td></tr>\n",
       "\t<tr><th scope=row>aromatics</th><td> 3.0722852  </td><td>17.18033859 </td><td>7.035392e+00</td><td> 9.667599414</td><td> 0.95034341 </td><td>8.682792e-01</td><td>27.721789568</td><td> 0.506792721</td><td> 7.3438058  </td><td> 4.0203510  </td><td>4.621307e-01</td><td>21.170892095</td></tr>\n",
       "\t<tr><th scope=row>resins</th><td>18.1364851  </td><td> 1.17127884 </td><td>4.185986e+00</td><td> 0.323340447</td><td> 0.74883792 </td><td>6.366859e-04</td><td>25.787314160</td><td> 0.294066095</td><td> 0.1355441  </td><td> 3.7157433  </td><td>8.395639e-01</td><td>44.661203621</td></tr>\n",
       "\t<tr><th scope=row>asptenes</th><td>17.0466442  </td><td> 4.23125040 </td><td>2.893004e+00</td><td> 0.512894682</td><td> 0.01961229 </td><td>1.315070e-01</td><td> 0.455774928</td><td> 8.136328844</td><td>20.0340858  </td><td> 8.2792856  </td><td>1.274306e+01</td><td>25.516554305</td></tr>\n",
       "\t<tr><th scope=row>wax</th><td> 2.4693876  </td><td>17.83936236 </td><td>1.621168e+00</td><td>12.232354827</td><td> 0.97968272 </td><td>1.123007e+01</td><td> 9.040201087</td><td>35.313089239</td><td> 6.0743881  </td><td> 2.9384287  </td><td>4.870906e-04</td><td> 0.261383347</td></tr>\n",
       "\t<tr><th scope=row>carbon</th><td>12.5109037  </td><td> 6.78384612 </td><td>4.990202e-01</td><td> 0.009951806</td><td>25.06856727 </td><td>1.498753e+00</td><td> 0.640437573</td><td> 0.352851980</td><td>35.7965906  </td><td>13.5950239  </td><td>2.569010e+00</td><td> 0.675043717</td></tr>\n",
       "\t<tr><th scope=row>hydrogen</th><td> 7.0343979  </td><td> 0.86631358 </td><td>5.865885e+00</td><td>32.455071063</td><td> 5.62561118 </td><td>2.099471e+01</td><td>20.139664328</td><td> 2.798087996</td><td> 2.7753902  </td><td> 1.0671446  </td><td>3.986779e-02</td><td> 0.337852873</td></tr>\n",
       "\t<tr><th scope=row>oxygen</th><td> 8.3352788  </td><td> 1.91575722 </td><td>5.317255e+00</td><td>24.177936310</td><td> 0.06132583 </td><td>3.933174e+01</td><td> 0.581954240</td><td> 0.006568696</td><td> 3.3049977  </td><td> 0.1444959  </td><td>1.681968e+01</td><td> 0.003012741</td></tr>\n",
       "\t<tr><th scope=row>nitrogen</th><td>15.5174356  </td><td> 5.10039020 </td><td>5.700165e-01</td><td> 2.950287915</td><td> 0.62665979 </td><td>6.078042e-01</td><td> 5.951684274</td><td>39.652561362</td><td> 0.6065444  </td><td> 5.3969915  </td><td>2.298585e+01</td><td> 0.033771526</td></tr>\n",
       "\t<tr><th scope=row>sulfur</th><td>13.7012170  </td><td> 7.56220093 </td><td>2.749526e-05</td><td> 1.813519753</td><td> 2.74425942 </td><td>1.177648e+01</td><td> 0.004318008</td><td> 0.114512066</td><td> 8.7774812  </td><td>34.7448425  </td><td>1.868327e+01</td><td> 0.077872986</td></tr>\n",
       "\t<tr><th scope=row>nickel</th><td> 0.4732983  </td><td>23.93227201 </td><td>6.443099e-02</td><td> 9.260227947</td><td> 0.18402045 </td><td>8.227374e+00</td><td> 6.702986936</td><td> 5.057187446</td><td> 9.0123694  </td><td>22.5634814  </td><td>1.427091e+01</td><td> 0.251440926</td></tr>\n",
       "\t<tr><th scope=row>vanadium</th><td> 1.3902268  </td><td>13.38310061 </td><td>6.740683e+00</td><td> 1.684440248</td><td>61.21816056 </td><td>5.059030e+00</td><td> 0.011827019</td><td> 0.344213084</td><td> 3.0093119  </td><td> 3.2595578  </td><td>3.676074e+00</td><td> 0.223374687</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llllllllllll}\n",
       "  & Dim.1 & Dim.2 & Dim.3 & Dim.4 & Dim.5 & Dim.6 & Dim.7 & Dim.8 & Dim.9 & Dim.10 & Dim.11 & Dim.12\\\\\n",
       "\\hline\n",
       "\tsaturates &  0.3124396   &  0.03388915  & 6.520713e+01 &  4.912375589 &  1.77291916  & 2.736233e-01 &  2.962047878 &  7.423740472 &  3.1294909   &  0.2746538   & 6.910091e+00 &  6.787597177\\\\\n",
       "\taromatics &  3.0722852   & 17.18033859  & 7.035392e+00 &  9.667599414 &  0.95034341  & 8.682792e-01 & 27.721789568 &  0.506792721 &  7.3438058   &  4.0203510   & 4.621307e-01 & 21.170892095\\\\\n",
       "\tresins & 18.1364851   &  1.17127884  & 4.185986e+00 &  0.323340447 &  0.74883792  & 6.366859e-04 & 25.787314160 &  0.294066095 &  0.1355441   &  3.7157433   & 8.395639e-01 & 44.661203621\\\\\n",
       "\tasptenes & 17.0466442   &  4.23125040  & 2.893004e+00 &  0.512894682 &  0.01961229  & 1.315070e-01 &  0.455774928 &  8.136328844 & 20.0340858   &  8.2792856   & 1.274306e+01 & 25.516554305\\\\\n",
       "\twax &  2.4693876   & 17.83936236  & 1.621168e+00 & 12.232354827 &  0.97968272  & 1.123007e+01 &  9.040201087 & 35.313089239 &  6.0743881   &  2.9384287   & 4.870906e-04 &  0.261383347\\\\\n",
       "\tcarbon & 12.5109037   &  6.78384612  & 4.990202e-01 &  0.009951806 & 25.06856727  & 1.498753e+00 &  0.640437573 &  0.352851980 & 35.7965906   & 13.5950239   & 2.569010e+00 &  0.675043717\\\\\n",
       "\thydrogen &  7.0343979   &  0.86631358  & 5.865885e+00 & 32.455071063 &  5.62561118  & 2.099471e+01 & 20.139664328 &  2.798087996 &  2.7753902   &  1.0671446   & 3.986779e-02 &  0.337852873\\\\\n",
       "\toxygen &  8.3352788   &  1.91575722  & 5.317255e+00 & 24.177936310 &  0.06132583  & 3.933174e+01 &  0.581954240 &  0.006568696 &  3.3049977   &  0.1444959   & 1.681968e+01 &  0.003012741\\\\\n",
       "\tnitrogen & 15.5174356   &  5.10039020  & 5.700165e-01 &  2.950287915 &  0.62665979  & 6.078042e-01 &  5.951684274 & 39.652561362 &  0.6065444   &  5.3969915   & 2.298585e+01 &  0.033771526\\\\\n",
       "\tsulfur & 13.7012170   &  7.56220093  & 2.749526e-05 &  1.813519753 &  2.74425942  & 1.177648e+01 &  0.004318008 &  0.114512066 &  8.7774812   & 34.7448425   & 1.868327e+01 &  0.077872986\\\\\n",
       "\tnickel &  0.4732983   & 23.93227201  & 6.443099e-02 &  9.260227947 &  0.18402045  & 8.227374e+00 &  6.702986936 &  5.057187446 &  9.0123694   & 22.5634814   & 1.427091e+01 &  0.251440926\\\\\n",
       "\tvanadium &  1.3902268   & 13.38310061  & 6.740683e+00 &  1.684440248 & 61.21816056  & 5.059030e+00 &  0.011827019 &  0.344213084 &  3.0093119   &  3.2595578   & 3.676074e+00 &  0.223374687\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | Dim.1 | Dim.2 | Dim.3 | Dim.4 | Dim.5 | Dim.6 | Dim.7 | Dim.8 | Dim.9 | Dim.10 | Dim.11 | Dim.12 | \n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| saturates |  0.3124396   |  0.03388915  | 6.520713e+01 |  4.912375589 |  1.77291916  | 2.736233e-01 |  2.962047878 |  7.423740472 |  3.1294909   |  0.2746538   | 6.910091e+00 |  6.787597177 | \n",
       "| aromatics |  3.0722852   | 17.18033859  | 7.035392e+00 |  9.667599414 |  0.95034341  | 8.682792e-01 | 27.721789568 |  0.506792721 |  7.3438058   |  4.0203510   | 4.621307e-01 | 21.170892095 | \n",
       "| resins | 18.1364851   |  1.17127884  | 4.185986e+00 |  0.323340447 |  0.74883792  | 6.366859e-04 | 25.787314160 |  0.294066095 |  0.1355441   |  3.7157433   | 8.395639e-01 | 44.661203621 | \n",
       "| asptenes | 17.0466442   |  4.23125040  | 2.893004e+00 |  0.512894682 |  0.01961229  | 1.315070e-01 |  0.455774928 |  8.136328844 | 20.0340858   |  8.2792856   | 1.274306e+01 | 25.516554305 | \n",
       "| wax |  2.4693876   | 17.83936236  | 1.621168e+00 | 12.232354827 |  0.97968272  | 1.123007e+01 |  9.040201087 | 35.313089239 |  6.0743881   |  2.9384287   | 4.870906e-04 |  0.261383347 | \n",
       "| carbon | 12.5109037   |  6.78384612  | 4.990202e-01 |  0.009951806 | 25.06856727  | 1.498753e+00 |  0.640437573 |  0.352851980 | 35.7965906   | 13.5950239   | 2.569010e+00 |  0.675043717 | \n",
       "| hydrogen |  7.0343979   |  0.86631358  | 5.865885e+00 | 32.455071063 |  5.62561118  | 2.099471e+01 | 20.139664328 |  2.798087996 |  2.7753902   |  1.0671446   | 3.986779e-02 |  0.337852873 | \n",
       "| oxygen |  8.3352788   |  1.91575722  | 5.317255e+00 | 24.177936310 |  0.06132583  | 3.933174e+01 |  0.581954240 |  0.006568696 |  3.3049977   |  0.1444959   | 1.681968e+01 |  0.003012741 | \n",
       "| nitrogen | 15.5174356   |  5.10039020  | 5.700165e-01 |  2.950287915 |  0.62665979  | 6.078042e-01 |  5.951684274 | 39.652561362 |  0.6065444   |  5.3969915   | 2.298585e+01 |  0.033771526 | \n",
       "| sulfur | 13.7012170   |  7.56220093  | 2.749526e-05 |  1.813519753 |  2.74425942  | 1.177648e+01 |  0.004318008 |  0.114512066 |  8.7774812   | 34.7448425   | 1.868327e+01 |  0.077872986 | \n",
       "| nickel |  0.4732983   | 23.93227201  | 6.443099e-02 |  9.260227947 |  0.18402045  | 8.227374e+00 |  6.702986936 |  5.057187446 |  9.0123694   | 22.5634814   | 1.427091e+01 |  0.251440926 | \n",
       "| vanadium |  1.3902268   | 13.38310061  | 6.740683e+00 |  1.684440248 | 61.21816056  | 5.059030e+00 |  0.011827019 |  0.344213084 |  3.0093119   |  3.2595578   | 3.676074e+00 |  0.223374687 | \n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "          Dim.1      Dim.2       Dim.3        Dim.4        Dim.5      \n",
       "saturates  0.3124396  0.03388915 6.520713e+01  4.912375589  1.77291916\n",
       "aromatics  3.0722852 17.18033859 7.035392e+00  9.667599414  0.95034341\n",
       "resins    18.1364851  1.17127884 4.185986e+00  0.323340447  0.74883792\n",
       "asptenes  17.0466442  4.23125040 2.893004e+00  0.512894682  0.01961229\n",
       "wax        2.4693876 17.83936236 1.621168e+00 12.232354827  0.97968272\n",
       "carbon    12.5109037  6.78384612 4.990202e-01  0.009951806 25.06856727\n",
       "hydrogen   7.0343979  0.86631358 5.865885e+00 32.455071063  5.62561118\n",
       "oxygen     8.3352788  1.91575722 5.317255e+00 24.177936310  0.06132583\n",
       "nitrogen  15.5174356  5.10039020 5.700165e-01  2.950287915  0.62665979\n",
       "sulfur    13.7012170  7.56220093 2.749526e-05  1.813519753  2.74425942\n",
       "nickel     0.4732983 23.93227201 6.443099e-02  9.260227947  0.18402045\n",
       "vanadium   1.3902268 13.38310061 6.740683e+00  1.684440248 61.21816056\n",
       "          Dim.6        Dim.7        Dim.8        Dim.9      Dim.10    \n",
       "saturates 2.736233e-01  2.962047878  7.423740472  3.1294909  0.2746538\n",
       "aromatics 8.682792e-01 27.721789568  0.506792721  7.3438058  4.0203510\n",
       "resins    6.366859e-04 25.787314160  0.294066095  0.1355441  3.7157433\n",
       "asptenes  1.315070e-01  0.455774928  8.136328844 20.0340858  8.2792856\n",
       "wax       1.123007e+01  9.040201087 35.313089239  6.0743881  2.9384287\n",
       "carbon    1.498753e+00  0.640437573  0.352851980 35.7965906 13.5950239\n",
       "hydrogen  2.099471e+01 20.139664328  2.798087996  2.7753902  1.0671446\n",
       "oxygen    3.933174e+01  0.581954240  0.006568696  3.3049977  0.1444959\n",
       "nitrogen  6.078042e-01  5.951684274 39.652561362  0.6065444  5.3969915\n",
       "sulfur    1.177648e+01  0.004318008  0.114512066  8.7774812 34.7448425\n",
       "nickel    8.227374e+00  6.702986936  5.057187446  9.0123694 22.5634814\n",
       "vanadium  5.059030e+00  0.011827019  0.344213084  3.0093119  3.2595578\n",
       "          Dim.11       Dim.12      \n",
       "saturates 6.910091e+00  6.787597177\n",
       "aromatics 4.621307e-01 21.170892095\n",
       "resins    8.395639e-01 44.661203621\n",
       "asptenes  1.274306e+01 25.516554305\n",
       "wax       4.870906e-04  0.261383347\n",
       "carbon    2.569010e+00  0.675043717\n",
       "hydrogen  3.986779e-02  0.337852873\n",
       "oxygen    1.681968e+01  0.003012741\n",
       "nitrogen  2.298585e+01  0.033771526\n",
       "sulfur    1.868327e+01  0.077872986\n",
       "nickel    1.427091e+01  0.251440926\n",
       "vanadium  3.676074e+00  0.223374687"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>Dim.1</th><th scope=col>Dim.2</th><th scope=col>Dim.3</th><th scope=col>Dim.4</th><th scope=col>Dim.5</th><th scope=col>Dim.6</th><th scope=col>Dim.7</th><th scope=col>Dim.8</th><th scope=col>Dim.9</th><th scope=col>Dim.10</th><th scope=col>Dim.11</th><th scope=col>Dim.12</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>saturates</th><td>0.01416562  </td><td>0.001098685 </td><td>8.931035e-01</td><td>0.0556971810</td><td>0.0103890840</td><td>1.417809e-03</td><td>8.096658e-03</td><td>1.083265e-02</td><td>0.0034746214</td><td>1.751978e-04</td><td>1.436726e-03</td><td>1.122180e-04</td></tr>\n",
       "\t<tr><th scope=row>aromatics</th><td>0.13929352  </td><td>0.556985925 </td><td>9.635961e-02</td><td>0.1096125540</td><td>0.0055688932</td><td>4.499085e-03</td><td>7.577658e-02</td><td>7.395073e-04</td><td>0.0081537049</td><td>2.564525e-03</td><td>9.608487e-05</td><td>3.500143e-04</td></tr>\n",
       "\t<tr><th scope=row>resins</th><td>0.82228523  </td><td>0.037972815 </td><td>5.733297e-02</td><td>0.0036660779</td><td>0.0043880964</td><td>3.299058e-06</td><td>7.048876e-02</td><td>4.290986e-04</td><td>0.0001504924</td><td>2.370220e-03</td><td>1.745597e-04</td><td>7.383751e-04</td></tr>\n",
       "\t<tr><th scope=row>asptenes</th><td>0.77287323  </td><td>0.137176977 </td><td>3.962377e-02</td><td>0.0058152695</td><td>0.0001149256</td><td>6.814183e-04</td><td>1.245845e-03</td><td>1.187246e-02</td><td>0.0222435107</td><td>5.281240e-03</td><td>2.649499e-03</td><td>4.218603e-04</td></tr>\n",
       "\t<tr><th scope=row>wax</th><td>0.11195890  </td><td>0.578351451 </td><td>2.220417e-02</td><td>0.1386920990</td><td>0.0057408179</td><td>5.818983e-02</td><td>2.471109e-02</td><td>5.152854e-02</td><td>0.0067442916</td><td>1.874382e-03</td><td>1.012745e-07</td><td>4.321401e-06</td></tr>\n",
       "\t<tr><th scope=row>carbon</th><td>0.56722850  </td><td>0.219932034 </td><td>6.834785e-03</td><td>0.0001128349</td><td>0.1468986619</td><td>7.765954e-03</td><td>1.750615e-03</td><td>5.148784e-04</td><td>0.0397443565</td><td>8.672075e-03</td><td>5.341411e-04</td><td>1.116037e-05</td></tr>\n",
       "\t<tr><th scope=row>hydrogen</th><td>0.31893068  </td><td>0.028085853 </td><td>8.034157e-02</td><td>0.3679799998</td><td>0.0329653764</td><td>1.087864e-01</td><td>5.505110e-02</td><td>4.082945e-03</td><td>0.0030814694</td><td>6.807165e-04</td><td>8.289195e-06</td><td>5.585657e-06</td></tr>\n",
       "\t<tr><th scope=row>oxygen</th><td>0.37791097  </td><td>0.062108776 </td><td>7.282730e-02</td><td>0.2741327228</td><td>0.0003593617</td><td>2.038017e-01</td><td>1.590752e-03</td><td>9.584981e-06</td><td>0.0036694837</td><td>9.217189e-05</td><td>3.497099e-03</td><td>4.980907e-08</td></tr>\n",
       "\t<tr><th scope=row>nitrogen</th><td>0.70354085  </td><td>0.165354457 </td><td>7.807178e-03</td><td>0.0334507647</td><td>0.0036721478</td><td>3.149404e-03</td><td>1.626873e-02</td><td>5.786066e-02</td><td>0.0006734361</td><td>3.442665e-03</td><td>4.779151e-03</td><td>5.583381e-07</td></tr>\n",
       "\t<tr><th scope=row>sulfur</th><td>0.62119580  </td><td>0.245166267 </td><td>3.765863e-07</td><td>0.0205619331</td><td>0.0160810162</td><td>6.102111e-02</td><td>1.180313e-05</td><td>1.670950e-04</td><td>0.0097454907</td><td>2.216325e-02</td><td>3.884571e-03</td><td>1.287459e-06</td></tr>\n",
       "\t<tr><th scope=row>nickel</th><td>0.02145874  </td><td>0.775883350 </td><td>8.824731e-04</td><td>0.1049937211</td><td>0.0010783368</td><td>4.263105e-02</td><td>1.832239e-02</td><td>7.379402e-03</td><td>0.0100062832</td><td>1.439293e-02</td><td>2.967166e-03</td><td>4.157024e-06</td></tr>\n",
       "\t<tr><th scope=row>vanadium</th><td>0.06303112  </td><td>0.433879614 </td><td>9.232315e-02</td><td>0.0190984121</td><td>0.3587307472</td><td>2.621392e-02</td><td>3.232876e-05</td><td>5.022726e-04</td><td>0.0033411887</td><td>2.079226e-03</td><td>7.643185e-04</td><td>3.693011e-06</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llllllllllll}\n",
       "  & Dim.1 & Dim.2 & Dim.3 & Dim.4 & Dim.5 & Dim.6 & Dim.7 & Dim.8 & Dim.9 & Dim.10 & Dim.11 & Dim.12\\\\\n",
       "\\hline\n",
       "\tsaturates & 0.01416562   & 0.001098685  & 8.931035e-01 & 0.0556971810 & 0.0103890840 & 1.417809e-03 & 8.096658e-03 & 1.083265e-02 & 0.0034746214 & 1.751978e-04 & 1.436726e-03 & 1.122180e-04\\\\\n",
       "\taromatics & 0.13929352   & 0.556985925  & 9.635961e-02 & 0.1096125540 & 0.0055688932 & 4.499085e-03 & 7.577658e-02 & 7.395073e-04 & 0.0081537049 & 2.564525e-03 & 9.608487e-05 & 3.500143e-04\\\\\n",
       "\tresins & 0.82228523   & 0.037972815  & 5.733297e-02 & 0.0036660779 & 0.0043880964 & 3.299058e-06 & 7.048876e-02 & 4.290986e-04 & 0.0001504924 & 2.370220e-03 & 1.745597e-04 & 7.383751e-04\\\\\n",
       "\tasptenes & 0.77287323   & 0.137176977  & 3.962377e-02 & 0.0058152695 & 0.0001149256 & 6.814183e-04 & 1.245845e-03 & 1.187246e-02 & 0.0222435107 & 5.281240e-03 & 2.649499e-03 & 4.218603e-04\\\\\n",
       "\twax & 0.11195890   & 0.578351451  & 2.220417e-02 & 0.1386920990 & 0.0057408179 & 5.818983e-02 & 2.471109e-02 & 5.152854e-02 & 0.0067442916 & 1.874382e-03 & 1.012745e-07 & 4.321401e-06\\\\\n",
       "\tcarbon & 0.56722850   & 0.219932034  & 6.834785e-03 & 0.0001128349 & 0.1468986619 & 7.765954e-03 & 1.750615e-03 & 5.148784e-04 & 0.0397443565 & 8.672075e-03 & 5.341411e-04 & 1.116037e-05\\\\\n",
       "\thydrogen & 0.31893068   & 0.028085853  & 8.034157e-02 & 0.3679799998 & 0.0329653764 & 1.087864e-01 & 5.505110e-02 & 4.082945e-03 & 0.0030814694 & 6.807165e-04 & 8.289195e-06 & 5.585657e-06\\\\\n",
       "\toxygen & 0.37791097   & 0.062108776  & 7.282730e-02 & 0.2741327228 & 0.0003593617 & 2.038017e-01 & 1.590752e-03 & 9.584981e-06 & 0.0036694837 & 9.217189e-05 & 3.497099e-03 & 4.980907e-08\\\\\n",
       "\tnitrogen & 0.70354085   & 0.165354457  & 7.807178e-03 & 0.0334507647 & 0.0036721478 & 3.149404e-03 & 1.626873e-02 & 5.786066e-02 & 0.0006734361 & 3.442665e-03 & 4.779151e-03 & 5.583381e-07\\\\\n",
       "\tsulfur & 0.62119580   & 0.245166267  & 3.765863e-07 & 0.0205619331 & 0.0160810162 & 6.102111e-02 & 1.180313e-05 & 1.670950e-04 & 0.0097454907 & 2.216325e-02 & 3.884571e-03 & 1.287459e-06\\\\\n",
       "\tnickel & 0.02145874   & 0.775883350  & 8.824731e-04 & 0.1049937211 & 0.0010783368 & 4.263105e-02 & 1.832239e-02 & 7.379402e-03 & 0.0100062832 & 1.439293e-02 & 2.967166e-03 & 4.157024e-06\\\\\n",
       "\tvanadium & 0.06303112   & 0.433879614  & 9.232315e-02 & 0.0190984121 & 0.3587307472 & 2.621392e-02 & 3.232876e-05 & 5.022726e-04 & 0.0033411887 & 2.079226e-03 & 7.643185e-04 & 3.693011e-06\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | Dim.1 | Dim.2 | Dim.3 | Dim.4 | Dim.5 | Dim.6 | Dim.7 | Dim.8 | Dim.9 | Dim.10 | Dim.11 | Dim.12 | \n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| saturates | 0.01416562   | 0.001098685  | 8.931035e-01 | 0.0556971810 | 0.0103890840 | 1.417809e-03 | 8.096658e-03 | 1.083265e-02 | 0.0034746214 | 1.751978e-04 | 1.436726e-03 | 1.122180e-04 | \n",
       "| aromatics | 0.13929352   | 0.556985925  | 9.635961e-02 | 0.1096125540 | 0.0055688932 | 4.499085e-03 | 7.577658e-02 | 7.395073e-04 | 0.0081537049 | 2.564525e-03 | 9.608487e-05 | 3.500143e-04 | \n",
       "| resins | 0.82228523   | 0.037972815  | 5.733297e-02 | 0.0036660779 | 0.0043880964 | 3.299058e-06 | 7.048876e-02 | 4.290986e-04 | 0.0001504924 | 2.370220e-03 | 1.745597e-04 | 7.383751e-04 | \n",
       "| asptenes | 0.77287323   | 0.137176977  | 3.962377e-02 | 0.0058152695 | 0.0001149256 | 6.814183e-04 | 1.245845e-03 | 1.187246e-02 | 0.0222435107 | 5.281240e-03 | 2.649499e-03 | 4.218603e-04 | \n",
       "| wax | 0.11195890   | 0.578351451  | 2.220417e-02 | 0.1386920990 | 0.0057408179 | 5.818983e-02 | 2.471109e-02 | 5.152854e-02 | 0.0067442916 | 1.874382e-03 | 1.012745e-07 | 4.321401e-06 | \n",
       "| carbon | 0.56722850   | 0.219932034  | 6.834785e-03 | 0.0001128349 | 0.1468986619 | 7.765954e-03 | 1.750615e-03 | 5.148784e-04 | 0.0397443565 | 8.672075e-03 | 5.341411e-04 | 1.116037e-05 | \n",
       "| hydrogen | 0.31893068   | 0.028085853  | 8.034157e-02 | 0.3679799998 | 0.0329653764 | 1.087864e-01 | 5.505110e-02 | 4.082945e-03 | 0.0030814694 | 6.807165e-04 | 8.289195e-06 | 5.585657e-06 | \n",
       "| oxygen | 0.37791097   | 0.062108776  | 7.282730e-02 | 0.2741327228 | 0.0003593617 | 2.038017e-01 | 1.590752e-03 | 9.584981e-06 | 0.0036694837 | 9.217189e-05 | 3.497099e-03 | 4.980907e-08 | \n",
       "| nitrogen | 0.70354085   | 0.165354457  | 7.807178e-03 | 0.0334507647 | 0.0036721478 | 3.149404e-03 | 1.626873e-02 | 5.786066e-02 | 0.0006734361 | 3.442665e-03 | 4.779151e-03 | 5.583381e-07 | \n",
       "| sulfur | 0.62119580   | 0.245166267  | 3.765863e-07 | 0.0205619331 | 0.0160810162 | 6.102111e-02 | 1.180313e-05 | 1.670950e-04 | 0.0097454907 | 2.216325e-02 | 3.884571e-03 | 1.287459e-06 | \n",
       "| nickel | 0.02145874   | 0.775883350  | 8.824731e-04 | 0.1049937211 | 0.0010783368 | 4.263105e-02 | 1.832239e-02 | 7.379402e-03 | 0.0100062832 | 1.439293e-02 | 2.967166e-03 | 4.157024e-06 | \n",
       "| vanadium | 0.06303112   | 0.433879614  | 9.232315e-02 | 0.0190984121 | 0.3587307472 | 2.621392e-02 | 3.232876e-05 | 5.022726e-04 | 0.0033411887 | 2.079226e-03 | 7.643185e-04 | 3.693011e-06 | \n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "          Dim.1      Dim.2       Dim.3        Dim.4        Dim.5       \n",
       "saturates 0.01416562 0.001098685 8.931035e-01 0.0556971810 0.0103890840\n",
       "aromatics 0.13929352 0.556985925 9.635961e-02 0.1096125540 0.0055688932\n",
       "resins    0.82228523 0.037972815 5.733297e-02 0.0036660779 0.0043880964\n",
       "asptenes  0.77287323 0.137176977 3.962377e-02 0.0058152695 0.0001149256\n",
       "wax       0.11195890 0.578351451 2.220417e-02 0.1386920990 0.0057408179\n",
       "carbon    0.56722850 0.219932034 6.834785e-03 0.0001128349 0.1468986619\n",
       "hydrogen  0.31893068 0.028085853 8.034157e-02 0.3679799998 0.0329653764\n",
       "oxygen    0.37791097 0.062108776 7.282730e-02 0.2741327228 0.0003593617\n",
       "nitrogen  0.70354085 0.165354457 7.807178e-03 0.0334507647 0.0036721478\n",
       "sulfur    0.62119580 0.245166267 3.765863e-07 0.0205619331 0.0160810162\n",
       "nickel    0.02145874 0.775883350 8.824731e-04 0.1049937211 0.0010783368\n",
       "vanadium  0.06303112 0.433879614 9.232315e-02 0.0190984121 0.3587307472\n",
       "          Dim.6        Dim.7        Dim.8        Dim.9        Dim.10      \n",
       "saturates 1.417809e-03 8.096658e-03 1.083265e-02 0.0034746214 1.751978e-04\n",
       "aromatics 4.499085e-03 7.577658e-02 7.395073e-04 0.0081537049 2.564525e-03\n",
       "resins    3.299058e-06 7.048876e-02 4.290986e-04 0.0001504924 2.370220e-03\n",
       "asptenes  6.814183e-04 1.245845e-03 1.187246e-02 0.0222435107 5.281240e-03\n",
       "wax       5.818983e-02 2.471109e-02 5.152854e-02 0.0067442916 1.874382e-03\n",
       "carbon    7.765954e-03 1.750615e-03 5.148784e-04 0.0397443565 8.672075e-03\n",
       "hydrogen  1.087864e-01 5.505110e-02 4.082945e-03 0.0030814694 6.807165e-04\n",
       "oxygen    2.038017e-01 1.590752e-03 9.584981e-06 0.0036694837 9.217189e-05\n",
       "nitrogen  3.149404e-03 1.626873e-02 5.786066e-02 0.0006734361 3.442665e-03\n",
       "sulfur    6.102111e-02 1.180313e-05 1.670950e-04 0.0097454907 2.216325e-02\n",
       "nickel    4.263105e-02 1.832239e-02 7.379402e-03 0.0100062832 1.439293e-02\n",
       "vanadium  2.621392e-02 3.232876e-05 5.022726e-04 0.0033411887 2.079226e-03\n",
       "          Dim.11       Dim.12      \n",
       "saturates 1.436726e-03 1.122180e-04\n",
       "aromatics 9.608487e-05 3.500143e-04\n",
       "resins    1.745597e-04 7.383751e-04\n",
       "asptenes  2.649499e-03 4.218603e-04\n",
       "wax       1.012745e-07 4.321401e-06\n",
       "carbon    5.341411e-04 1.116037e-05\n",
       "hydrogen  8.289195e-06 5.585657e-06\n",
       "oxygen    3.497099e-03 4.980907e-08\n",
       "nitrogen  4.779151e-03 5.583381e-07\n",
       "sulfur    3.884571e-03 1.287459e-06\n",
       "nickel    2.967166e-03 4.157024e-06\n",
       "vanadium  7.643185e-04 3.693011e-06"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>Dim.1</th><th scope=col>Dim.2</th><th scope=col>Dim.3</th><th scope=col>Dim.4</th><th scope=col>Dim.5</th><th scope=col>Dim.6</th><th scope=col>Dim.7</th><th scope=col>Dim.8</th><th scope=col>Dim.9</th><th scope=col>Dim.10</th><th scope=col>Dim.11</th><th scope=col>Dim.12</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>AAB-1</th><td>-1.1325202   </td><td> 0.2927333   </td><td> 0.1812768   </td><td> 0.9917770859</td><td> 0.75541565  </td><td>-0.61644484  </td><td> 0.253495517 </td><td> 0.0755693713</td><td>-0.31662606  </td><td>-0.582415608 </td><td> 0.111146751 </td><td> 0.037327042 </td></tr>\n",
       "\t<tr><th scope=row>AAB-2</th><td>-0.6303373   </td><td> 1.5391609   </td><td>-0.8570839   </td><td> 0.5835652078</td><td>-0.36164072  </td><td>-1.31366419  </td><td>-0.173745582 </td><td>-0.2661341992</td><td> 0.42712002  </td><td> 0.421623487 </td><td>-0.027944537 </td><td> 0.006937950 </td></tr>\n",
       "\t<tr><th scope=row>AAD-1</th><td>-0.5009423   </td><td>-2.7587990   </td><td> 0.1017671   </td><td> 1.6096752725</td><td> 1.54493816  </td><td>-0.58247884  </td><td>-0.250317678 </td><td>-0.0320589579</td><td> 0.13244389  </td><td>-0.025944254 </td><td>-0.081946623 </td><td>-0.090412893 </td></tr>\n",
       "\t<tr><th scope=row>AAD-2</th><td>-0.7080090   </td><td>-3.1535179   </td><td>-0.8902051   </td><td>-0.0701868845</td><td> 1.24654332  </td><td>-0.49208833  </td><td>-0.162953980 </td><td>-0.2690388453</td><td> 0.14162495  </td><td> 0.347613065 </td><td> 0.167785499 </td><td> 0.027008248 </td></tr>\n",
       "\t<tr><th scope=row>AAF-1</th><td>-0.1775858   </td><td> 1.5295521   </td><td>-0.3931252   </td><td>-0.1105027501</td><td>-0.02260056  </td><td>-0.63358144  </td><td> 0.131017226 </td><td> 0.0299896312</td><td>-0.43795839  </td><td>-0.145195677 </td><td>-0.254050419 </td><td> 0.013580193 </td></tr>\n",
       "\t<tr><th scope=row>AAF-2</th><td>-1.0163621   </td><td> 1.6672516   </td><td>-1.0263451   </td><td> 0.3768591143</td><td>-0.31677041  </td><td>-0.13006087  </td><td> 0.980583449 </td><td> 0.9613469734</td><td>-0.11620084  </td><td> 0.324232178 </td><td> 0.143795340 </td><td>-0.052084218 </td></tr>\n",
       "\t<tr><th scope=row>AAG-1</th><td> 3.2759516   </td><td>-0.3539568   </td><td> 0.4150752   </td><td>-0.3224286678</td><td> 0.40397656  </td><td> 0.92645041  </td><td>-0.049962124 </td><td> 0.0525015625</td><td>-0.38467219  </td><td>-0.143413241 </td><td> 0.209965572 </td><td>-0.054124287 </td></tr>\n",
       "\t<tr><th scope=row>AAG-2</th><td> 3.8961893   </td><td> 0.3981901   </td><td> 0.3103633   </td><td>-2.7554018405</td><td> 0.03372631  </td><td>-1.52005598  </td><td>-0.024740206 </td><td> 0.1250407617</td><td> 0.41703581  </td><td>-0.245040900 </td><td>-0.031232379 </td><td> 0.009035750 </td></tr>\n",
       "\t<tr><th scope=row>AAH</th><td> 0.6907939   </td><td> 0.8082221   </td><td>-2.2146792   </td><td> 0.3684562785</td><td>-0.69433217  </td><td> 0.20044016  </td><td> 1.039040575 </td><td>-0.5642078637</td><td> 0.36844371  </td><td>-0.256511746 </td><td> 0.108727211 </td><td>-0.033020908 </td></tr>\n",
       "\t<tr><th scope=row>AAK-1</th><td>-1.1461308   </td><td>-3.4977397   </td><td> 1.8446942   </td><td> 0.4869065317</td><td>-1.98559470  </td><td> 0.10014215  </td><td> 0.170447958 </td><td>-0.0758527693</td><td> 0.05296148  </td><td>-0.060974503 </td><td> 0.022951034 </td><td>-0.004368108 </td></tr>\n",
       "\t<tr><th scope=row>AAK-2</th><td>-0.9063081   </td><td>-3.0308227   </td><td> 0.7414023   </td><td>-0.1129487148</td><td>-1.24179351  </td><td>-0.77456038  </td><td>-0.229652143 </td><td> 0.3316872258</td><td>-0.10157539  </td><td>-0.099064101 </td><td> 0.014927612 </td><td>-0.005042870 </td></tr>\n",
       "\t<tr><th scope=row>AAL</th><td>-0.8138850   </td><td>-1.4752770   </td><td>-1.3295536   </td><td>-0.1712111989</td><td> 0.20239275  </td><td> 0.51513098  </td><td>-0.058695482 </td><td> 0.8073896889</td><td> 0.01797414  </td><td>-0.007696323 </td><td>-0.209307570 </td><td> 0.045482167 </td></tr>\n",
       "\t<tr><th scope=row>AAM-1</th><td> 1.8084905   </td><td> 3.0870993   </td><td> 3.5152792   </td><td> 1.5308813447</td><td> 0.23902020  </td><td> 0.04894205  </td><td> 0.119484184 </td><td> 0.0729456564</td><td> 0.32334819  </td><td> 0.223203428 </td><td> 0.002109200 </td><td> 0.002300043 </td></tr>\n",
       "\t<tr><th scope=row>AAN</th><td>-0.8495875   </td><td> 0.6710035   </td><td>-0.4298013   </td><td>-0.3134588713</td><td>-0.16733912  </td><td> 0.71690524  </td><td>-0.765777966 </td><td>-0.0767976672</td><td>-0.13626011  </td><td>-0.018543827 </td><td> 0.272841069 </td><td> 0.037594756 </td></tr>\n",
       "\t<tr><th scope=row>AAP</th><td> 0.6391202   </td><td> 1.9077196   </td><td>-0.9650303   </td><td> 2.0357741572</td><td>-0.41781638  </td><td>-0.19556651  </td><td>-0.842261881 </td><td> 0.0597040334</td><td>-0.30689808  </td><td>-0.113548948 </td><td>-0.123539663 </td><td> 0.025669358 </td></tr>\n",
       "\t<tr><th scope=row>AAS-2</th><td>-2.7744936   </td><td> 1.0256665   </td><td> 0.4897636   </td><td>-2.0810618372</td><td> 0.08928572  </td><td> 0.18118426  </td><td>-0.403565209 </td><td> 0.0038314335</td><td>-0.39751687  </td><td> 0.430945447 </td><td>-0.017907219 </td><td>-0.029015569 </td></tr>\n",
       "\t<tr><th scope=row>AAS-3</th><td>-2.2714851   </td><td> 0.5431143   </td><td> 1.4359947   </td><td>-0.9259289508</td><td> 0.95823230  </td><td>-0.25327420  </td><td> 0.675653885 </td><td>-0.3202776642</td><td>-0.40358227  </td><td>-0.132159891 </td><td> 0.014829179 </td><td> 0.021521946 </td></tr>\n",
       "\t<tr><th scope=row>AAT</th><td>-0.8272809   </td><td>-0.4645425   </td><td> 0.2490039   </td><td> 0.0953076182</td><td> 0.26542655  </td><td> 0.80159321  </td><td> 0.848397090 </td><td> 0.0012051916</td><td> 0.26577025  </td><td> 0.133774030 </td><td>-0.002281612 </td><td> 0.092991773 </td></tr>\n",
       "\t<tr><th scope=row>AAV</th><td> 1.2855523   </td><td> 1.5592305   </td><td>-0.5411857   </td><td>-0.2730413937</td><td>-0.50136676  </td><td>-0.04698509  </td><td>-0.656370054 </td><td> 0.0827975737</td><td>-0.07666797  </td><td>-0.066329256 </td><td> 0.168139591 </td><td>-0.014873587 </td></tr>\n",
       "\t<tr><th scope=row>AAW</th><td>-1.0383594   </td><td> 0.3170868   </td><td>-0.4447247   </td><td> 0.0005211517</td><td>-0.58369304  </td><td> 0.17721994  </td><td>-0.005023883 </td><td>-0.9407891376</td><td>-0.30366666  </td><td> 0.152021646 </td><td>-0.111747776 </td><td>-0.008933392 </td></tr>\n",
       "\t<tr><th scope=row>ABC</th><td>-4.2736636   </td><td> 1.3859223   </td><td> 0.2043047   </td><td>-0.7415150629</td><td> 0.25131041  </td><td> 1.12844563  </td><td>-0.566335470 </td><td> 0.0701643703</td><td> 0.81436429  </td><td>-0.370912341 </td><td>-0.097960045 </td><td>-0.038210423 </td></tr>\n",
       "\t<tr><th scope=row>ABD</th><td> 4.0649316   </td><td>-1.1231841   </td><td>-0.2752549   </td><td> 0.3052587378</td><td> 0.24965198  </td><td> 0.71430919  </td><td>-0.389899852 </td><td>-0.0002752156</td><td> 0.20470625  </td><td> 0.148642604 </td><td> 0.007220228 </td><td> 0.044479907 </td></tr>\n",
       "\t<tr><th scope=row>ABM-1</th><td> 3.4059213   </td><td>-0.8741133   </td><td>-0.1219360   </td><td>-0.5072963277</td><td> 0.05302745  </td><td> 1.04799748  </td><td> 0.361181626 </td><td>-0.1287411537</td><td>-0.18416814  </td><td> 0.085694731 </td><td>-0.286520445 </td><td>-0.033842879 </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llllllllllll}\n",
       "  & Dim.1 & Dim.2 & Dim.3 & Dim.4 & Dim.5 & Dim.6 & Dim.7 & Dim.8 & Dim.9 & Dim.10 & Dim.11 & Dim.12\\\\\n",
       "\\hline\n",
       "\tAAB-1 & -1.1325202    &  0.2927333    &  0.1812768    &  0.9917770859 &  0.75541565   & -0.61644484   &  0.253495517  &  0.0755693713 & -0.31662606   & -0.582415608  &  0.111146751  &  0.037327042 \\\\\n",
       "\tAAB-2 & -0.6303373    &  1.5391609    & -0.8570839    &  0.5835652078 & -0.36164072   & -1.31366419   & -0.173745582  & -0.2661341992 &  0.42712002   &  0.421623487  & -0.027944537  &  0.006937950 \\\\\n",
       "\tAAD-1 & -0.5009423    & -2.7587990    &  0.1017671    &  1.6096752725 &  1.54493816   & -0.58247884   & -0.250317678  & -0.0320589579 &  0.13244389   & -0.025944254  & -0.081946623  & -0.090412893 \\\\\n",
       "\tAAD-2 & -0.7080090    & -3.1535179    & -0.8902051    & -0.0701868845 &  1.24654332   & -0.49208833   & -0.162953980  & -0.2690388453 &  0.14162495   &  0.347613065  &  0.167785499  &  0.027008248 \\\\\n",
       "\tAAF-1 & -0.1775858    &  1.5295521    & -0.3931252    & -0.1105027501 & -0.02260056   & -0.63358144   &  0.131017226  &  0.0299896312 & -0.43795839   & -0.145195677  & -0.254050419  &  0.013580193 \\\\\n",
       "\tAAF-2 & -1.0163621    &  1.6672516    & -1.0263451    &  0.3768591143 & -0.31677041   & -0.13006087   &  0.980583449  &  0.9613469734 & -0.11620084   &  0.324232178  &  0.143795340  & -0.052084218 \\\\\n",
       "\tAAG-1 &  3.2759516    & -0.3539568    &  0.4150752    & -0.3224286678 &  0.40397656   &  0.92645041   & -0.049962124  &  0.0525015625 & -0.38467219   & -0.143413241  &  0.209965572  & -0.054124287 \\\\\n",
       "\tAAG-2 &  3.8961893    &  0.3981901    &  0.3103633    & -2.7554018405 &  0.03372631   & -1.52005598   & -0.024740206  &  0.1250407617 &  0.41703581   & -0.245040900  & -0.031232379  &  0.009035750 \\\\\n",
       "\tAAH &  0.6907939    &  0.8082221    & -2.2146792    &  0.3684562785 & -0.69433217   &  0.20044016   &  1.039040575  & -0.5642078637 &  0.36844371   & -0.256511746  &  0.108727211  & -0.033020908 \\\\\n",
       "\tAAK-1 & -1.1461308    & -3.4977397    &  1.8446942    &  0.4869065317 & -1.98559470   &  0.10014215   &  0.170447958  & -0.0758527693 &  0.05296148   & -0.060974503  &  0.022951034  & -0.004368108 \\\\\n",
       "\tAAK-2 & -0.9063081    & -3.0308227    &  0.7414023    & -0.1129487148 & -1.24179351   & -0.77456038   & -0.229652143  &  0.3316872258 & -0.10157539   & -0.099064101  &  0.014927612  & -0.005042870 \\\\\n",
       "\tAAL & -0.8138850    & -1.4752770    & -1.3295536    & -0.1712111989 &  0.20239275   &  0.51513098   & -0.058695482  &  0.8073896889 &  0.01797414   & -0.007696323  & -0.209307570  &  0.045482167 \\\\\n",
       "\tAAM-1 &  1.8084905    &  3.0870993    &  3.5152792    &  1.5308813447 &  0.23902020   &  0.04894205   &  0.119484184  &  0.0729456564 &  0.32334819   &  0.223203428  &  0.002109200  &  0.002300043 \\\\\n",
       "\tAAN & -0.8495875    &  0.6710035    & -0.4298013    & -0.3134588713 & -0.16733912   &  0.71690524   & -0.765777966  & -0.0767976672 & -0.13626011   & -0.018543827  &  0.272841069  &  0.037594756 \\\\\n",
       "\tAAP &  0.6391202    &  1.9077196    & -0.9650303    &  2.0357741572 & -0.41781638   & -0.19556651   & -0.842261881  &  0.0597040334 & -0.30689808   & -0.113548948  & -0.123539663  &  0.025669358 \\\\\n",
       "\tAAS-2 & -2.7744936    &  1.0256665    &  0.4897636    & -2.0810618372 &  0.08928572   &  0.18118426   & -0.403565209  &  0.0038314335 & -0.39751687   &  0.430945447  & -0.017907219  & -0.029015569 \\\\\n",
       "\tAAS-3 & -2.2714851    &  0.5431143    &  1.4359947    & -0.9259289508 &  0.95823230   & -0.25327420   &  0.675653885  & -0.3202776642 & -0.40358227   & -0.132159891  &  0.014829179  &  0.021521946 \\\\\n",
       "\tAAT & -0.8272809    & -0.4645425    &  0.2490039    &  0.0953076182 &  0.26542655   &  0.80159321   &  0.848397090  &  0.0012051916 &  0.26577025   &  0.133774030  & -0.002281612  &  0.092991773 \\\\\n",
       "\tAAV &  1.2855523    &  1.5592305    & -0.5411857    & -0.2730413937 & -0.50136676   & -0.04698509   & -0.656370054  &  0.0827975737 & -0.07666797   & -0.066329256  &  0.168139591  & -0.014873587 \\\\\n",
       "\tAAW & -1.0383594    &  0.3170868    & -0.4447247    &  0.0005211517 & -0.58369304   &  0.17721994   & -0.005023883  & -0.9407891376 & -0.30366666   &  0.152021646  & -0.111747776  & -0.008933392 \\\\\n",
       "\tABC & -4.2736636    &  1.3859223    &  0.2043047    & -0.7415150629 &  0.25131041   &  1.12844563   & -0.566335470  &  0.0701643703 &  0.81436429   & -0.370912341  & -0.097960045  & -0.038210423 \\\\\n",
       "\tABD &  4.0649316    & -1.1231841    & -0.2752549    &  0.3052587378 &  0.24965198   &  0.71430919   & -0.389899852  & -0.0002752156 &  0.20470625   &  0.148642604  &  0.007220228  &  0.044479907 \\\\\n",
       "\tABM-1 &  3.4059213    & -0.8741133    & -0.1219360    & -0.5072963277 &  0.05302745   &  1.04799748   &  0.361181626  & -0.1287411537 & -0.18416814   &  0.085694731  & -0.286520445  & -0.033842879 \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | Dim.1 | Dim.2 | Dim.3 | Dim.4 | Dim.5 | Dim.6 | Dim.7 | Dim.8 | Dim.9 | Dim.10 | Dim.11 | Dim.12 | \n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| AAB-1 | -1.1325202    |  0.2927333    |  0.1812768    |  0.9917770859 |  0.75541565   | -0.61644484   |  0.253495517  |  0.0755693713 | -0.31662606   | -0.582415608  |  0.111146751  |  0.037327042  | \n",
       "| AAB-2 | -0.6303373    |  1.5391609    | -0.8570839    |  0.5835652078 | -0.36164072   | -1.31366419   | -0.173745582  | -0.2661341992 |  0.42712002   |  0.421623487  | -0.027944537  |  0.006937950  | \n",
       "| AAD-1 | -0.5009423    | -2.7587990    |  0.1017671    |  1.6096752725 |  1.54493816   | -0.58247884   | -0.250317678  | -0.0320589579 |  0.13244389   | -0.025944254  | -0.081946623  | -0.090412893  | \n",
       "| AAD-2 | -0.7080090    | -3.1535179    | -0.8902051    | -0.0701868845 |  1.24654332   | -0.49208833   | -0.162953980  | -0.2690388453 |  0.14162495   |  0.347613065  |  0.167785499  |  0.027008248  | \n",
       "| AAF-1 | -0.1775858    |  1.5295521    | -0.3931252    | -0.1105027501 | -0.02260056   | -0.63358144   |  0.131017226  |  0.0299896312 | -0.43795839   | -0.145195677  | -0.254050419  |  0.013580193  | \n",
       "| AAF-2 | -1.0163621    |  1.6672516    | -1.0263451    |  0.3768591143 | -0.31677041   | -0.13006087   |  0.980583449  |  0.9613469734 | -0.11620084   |  0.324232178  |  0.143795340  | -0.052084218  | \n",
       "| AAG-1 |  3.2759516    | -0.3539568    |  0.4150752    | -0.3224286678 |  0.40397656   |  0.92645041   | -0.049962124  |  0.0525015625 | -0.38467219   | -0.143413241  |  0.209965572  | -0.054124287  | \n",
       "| AAG-2 |  3.8961893    |  0.3981901    |  0.3103633    | -2.7554018405 |  0.03372631   | -1.52005598   | -0.024740206  |  0.1250407617 |  0.41703581   | -0.245040900  | -0.031232379  |  0.009035750  | \n",
       "| AAH |  0.6907939    |  0.8082221    | -2.2146792    |  0.3684562785 | -0.69433217   |  0.20044016   |  1.039040575  | -0.5642078637 |  0.36844371   | -0.256511746  |  0.108727211  | -0.033020908  | \n",
       "| AAK-1 | -1.1461308    | -3.4977397    |  1.8446942    |  0.4869065317 | -1.98559470   |  0.10014215   |  0.170447958  | -0.0758527693 |  0.05296148   | -0.060974503  |  0.022951034  | -0.004368108  | \n",
       "| AAK-2 | -0.9063081    | -3.0308227    |  0.7414023    | -0.1129487148 | -1.24179351   | -0.77456038   | -0.229652143  |  0.3316872258 | -0.10157539   | -0.099064101  |  0.014927612  | -0.005042870  | \n",
       "| AAL | -0.8138850    | -1.4752770    | -1.3295536    | -0.1712111989 |  0.20239275   |  0.51513098   | -0.058695482  |  0.8073896889 |  0.01797414   | -0.007696323  | -0.209307570  |  0.045482167  | \n",
       "| AAM-1 |  1.8084905    |  3.0870993    |  3.5152792    |  1.5308813447 |  0.23902020   |  0.04894205   |  0.119484184  |  0.0729456564 |  0.32334819   |  0.223203428  |  0.002109200  |  0.002300043  | \n",
       "| AAN | -0.8495875    |  0.6710035    | -0.4298013    | -0.3134588713 | -0.16733912   |  0.71690524   | -0.765777966  | -0.0767976672 | -0.13626011   | -0.018543827  |  0.272841069  |  0.037594756  | \n",
       "| AAP |  0.6391202    |  1.9077196    | -0.9650303    |  2.0357741572 | -0.41781638   | -0.19556651   | -0.842261881  |  0.0597040334 | -0.30689808   | -0.113548948  | -0.123539663  |  0.025669358  | \n",
       "| AAS-2 | -2.7744936    |  1.0256665    |  0.4897636    | -2.0810618372 |  0.08928572   |  0.18118426   | -0.403565209  |  0.0038314335 | -0.39751687   |  0.430945447  | -0.017907219  | -0.029015569  | \n",
       "| AAS-3 | -2.2714851    |  0.5431143    |  1.4359947    | -0.9259289508 |  0.95823230   | -0.25327420   |  0.675653885  | -0.3202776642 | -0.40358227   | -0.132159891  |  0.014829179  |  0.021521946  | \n",
       "| AAT | -0.8272809    | -0.4645425    |  0.2490039    |  0.0953076182 |  0.26542655   |  0.80159321   |  0.848397090  |  0.0012051916 |  0.26577025   |  0.133774030  | -0.002281612  |  0.092991773  | \n",
       "| AAV |  1.2855523    |  1.5592305    | -0.5411857    | -0.2730413937 | -0.50136676   | -0.04698509   | -0.656370054  |  0.0827975737 | -0.07666797   | -0.066329256  |  0.168139591  | -0.014873587  | \n",
       "| AAW | -1.0383594    |  0.3170868    | -0.4447247    |  0.0005211517 | -0.58369304   |  0.17721994   | -0.005023883  | -0.9407891376 | -0.30366666   |  0.152021646  | -0.111747776  | -0.008933392  | \n",
       "| ABC | -4.2736636    |  1.3859223    |  0.2043047    | -0.7415150629 |  0.25131041   |  1.12844563   | -0.566335470  |  0.0701643703 |  0.81436429   | -0.370912341  | -0.097960045  | -0.038210423  | \n",
       "| ABD |  4.0649316    | -1.1231841    | -0.2752549    |  0.3052587378 |  0.24965198   |  0.71430919   | -0.389899852  | -0.0002752156 |  0.20470625   |  0.148642604  |  0.007220228  |  0.044479907  | \n",
       "| ABM-1 |  3.4059213    | -0.8741133    | -0.1219360    | -0.5072963277 |  0.05302745   |  1.04799748   |  0.361181626  | -0.1287411537 | -0.18416814   |  0.085694731  | -0.286520445  | -0.033842879  | \n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "      Dim.1      Dim.2      Dim.3      Dim.4         Dim.5       Dim.6      \n",
       "AAB-1 -1.1325202  0.2927333  0.1812768  0.9917770859  0.75541565 -0.61644484\n",
       "AAB-2 -0.6303373  1.5391609 -0.8570839  0.5835652078 -0.36164072 -1.31366419\n",
       "AAD-1 -0.5009423 -2.7587990  0.1017671  1.6096752725  1.54493816 -0.58247884\n",
       "AAD-2 -0.7080090 -3.1535179 -0.8902051 -0.0701868845  1.24654332 -0.49208833\n",
       "AAF-1 -0.1775858  1.5295521 -0.3931252 -0.1105027501 -0.02260056 -0.63358144\n",
       "AAF-2 -1.0163621  1.6672516 -1.0263451  0.3768591143 -0.31677041 -0.13006087\n",
       "AAG-1  3.2759516 -0.3539568  0.4150752 -0.3224286678  0.40397656  0.92645041\n",
       "AAG-2  3.8961893  0.3981901  0.3103633 -2.7554018405  0.03372631 -1.52005598\n",
       "AAH    0.6907939  0.8082221 -2.2146792  0.3684562785 -0.69433217  0.20044016\n",
       "AAK-1 -1.1461308 -3.4977397  1.8446942  0.4869065317 -1.98559470  0.10014215\n",
       "AAK-2 -0.9063081 -3.0308227  0.7414023 -0.1129487148 -1.24179351 -0.77456038\n",
       "AAL   -0.8138850 -1.4752770 -1.3295536 -0.1712111989  0.20239275  0.51513098\n",
       "AAM-1  1.8084905  3.0870993  3.5152792  1.5308813447  0.23902020  0.04894205\n",
       "AAN   -0.8495875  0.6710035 -0.4298013 -0.3134588713 -0.16733912  0.71690524\n",
       "AAP    0.6391202  1.9077196 -0.9650303  2.0357741572 -0.41781638 -0.19556651\n",
       "AAS-2 -2.7744936  1.0256665  0.4897636 -2.0810618372  0.08928572  0.18118426\n",
       "AAS-3 -2.2714851  0.5431143  1.4359947 -0.9259289508  0.95823230 -0.25327420\n",
       "AAT   -0.8272809 -0.4645425  0.2490039  0.0953076182  0.26542655  0.80159321\n",
       "AAV    1.2855523  1.5592305 -0.5411857 -0.2730413937 -0.50136676 -0.04698509\n",
       "AAW   -1.0383594  0.3170868 -0.4447247  0.0005211517 -0.58369304  0.17721994\n",
       "ABC   -4.2736636  1.3859223  0.2043047 -0.7415150629  0.25131041  1.12844563\n",
       "ABD    4.0649316 -1.1231841 -0.2752549  0.3052587378  0.24965198  0.71430919\n",
       "ABM-1  3.4059213 -0.8741133 -0.1219360 -0.5072963277  0.05302745  1.04799748\n",
       "      Dim.7        Dim.8         Dim.9       Dim.10       Dim.11      \n",
       "AAB-1  0.253495517  0.0755693713 -0.31662606 -0.582415608  0.111146751\n",
       "AAB-2 -0.173745582 -0.2661341992  0.42712002  0.421623487 -0.027944537\n",
       "AAD-1 -0.250317678 -0.0320589579  0.13244389 -0.025944254 -0.081946623\n",
       "AAD-2 -0.162953980 -0.2690388453  0.14162495  0.347613065  0.167785499\n",
       "AAF-1  0.131017226  0.0299896312 -0.43795839 -0.145195677 -0.254050419\n",
       "AAF-2  0.980583449  0.9613469734 -0.11620084  0.324232178  0.143795340\n",
       "AAG-1 -0.049962124  0.0525015625 -0.38467219 -0.143413241  0.209965572\n",
       "AAG-2 -0.024740206  0.1250407617  0.41703581 -0.245040900 -0.031232379\n",
       "AAH    1.039040575 -0.5642078637  0.36844371 -0.256511746  0.108727211\n",
       "AAK-1  0.170447958 -0.0758527693  0.05296148 -0.060974503  0.022951034\n",
       "AAK-2 -0.229652143  0.3316872258 -0.10157539 -0.099064101  0.014927612\n",
       "AAL   -0.058695482  0.8073896889  0.01797414 -0.007696323 -0.209307570\n",
       "AAM-1  0.119484184  0.0729456564  0.32334819  0.223203428  0.002109200\n",
       "AAN   -0.765777966 -0.0767976672 -0.13626011 -0.018543827  0.272841069\n",
       "AAP   -0.842261881  0.0597040334 -0.30689808 -0.113548948 -0.123539663\n",
       "AAS-2 -0.403565209  0.0038314335 -0.39751687  0.430945447 -0.017907219\n",
       "AAS-3  0.675653885 -0.3202776642 -0.40358227 -0.132159891  0.014829179\n",
       "AAT    0.848397090  0.0012051916  0.26577025  0.133774030 -0.002281612\n",
       "AAV   -0.656370054  0.0827975737 -0.07666797 -0.066329256  0.168139591\n",
       "AAW   -0.005023883 -0.9407891376 -0.30366666  0.152021646 -0.111747776\n",
       "ABC   -0.566335470  0.0701643703  0.81436429 -0.370912341 -0.097960045\n",
       "ABD   -0.389899852 -0.0002752156  0.20470625  0.148642604  0.007220228\n",
       "ABM-1  0.361181626 -0.1287411537 -0.18416814  0.085694731 -0.286520445\n",
       "      Dim.12      \n",
       "AAB-1  0.037327042\n",
       "AAB-2  0.006937950\n",
       "AAD-1 -0.090412893\n",
       "AAD-2  0.027008248\n",
       "AAF-1  0.013580193\n",
       "AAF-2 -0.052084218\n",
       "AAG-1 -0.054124287\n",
       "AAG-2  0.009035750\n",
       "AAH   -0.033020908\n",
       "AAK-1 -0.004368108\n",
       "AAK-2 -0.005042870\n",
       "AAL    0.045482167\n",
       "AAM-1  0.002300043\n",
       "AAN    0.037594756\n",
       "AAP    0.025669358\n",
       "AAS-2 -0.029015569\n",
       "AAS-3  0.021521946\n",
       "AAT    0.092991773\n",
       "AAV   -0.014873587\n",
       "AAW   -0.008933392\n",
       "ABC   -0.038210423\n",
       "ABD    0.044479907\n",
       "ABM-1 -0.033842879"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>Dim.1</th><th scope=col>Dim.2</th><th scope=col>Dim.3</th><th scope=col>Dim.4</th><th scope=col>Dim.5</th><th scope=col>Dim.6</th><th scope=col>Dim.7</th><th scope=col>Dim.8</th><th scope=col>Dim.9</th><th scope=col>Dim.10</th><th scope=col>Dim.11</th><th scope=col>Dim.12</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>AAB-1</th><td> 1.22997057 </td><td> 0.1149222  </td><td> 0.10431576 </td><td>3.771887e+00</td><td> 4.234048161</td><td> 3.18856923 </td><td>1.022113e+00</td><td>1.701577e-01</td><td> 3.92583170 </td><td>23.120389221</td><td>2.583304e+00</td><td> 3.66414553 </td></tr>\n",
       "\t<tr><th scope=row>AAB-2</th><td> 0.38102095 </td><td> 3.1770769  </td><td> 2.33191190 </td><td>1.305898e+00</td><td> 0.970372506</td><td>14.48025242 </td><td>4.801600e-01</td><td>2.110384e+00</td><td> 7.14394672 </td><td>12.116542870</td><td>1.632961e-01</td><td> 0.12658664 </td></tr>\n",
       "\t<tr><th scope=row>AAD-1</th><td> 0.24064575 </td><td>10.2070391  </td><td> 0.03287607 </td><td>9.935896e+00</td><td>17.709489271</td><td> 2.84687052 </td><td>9.966472e-01</td><td>3.062378e-02</td><td> 0.68691378 </td><td> 0.045878743</td><td>1.404249e+00</td><td>21.49741741 </td></tr>\n",
       "\t<tr><th scope=row>AAD-2</th><td> 0.48070695 </td><td>13.3367574  </td><td> 2.51562319 </td><td>1.889046e-02</td><td>11.529184590</td><td> 2.03185889 </td><td>4.223654e-01</td><td>2.156701e+00</td><td> 0.78544888 </td><td> 8.236094365</td><td>5.886957e+00</td><td> 1.91830824 </td></tr>\n",
       "\t<tr><th scope=row>AAF-1</th><td> 0.03024262 </td><td> 3.1375324  </td><td> 0.49059968 </td><td>4.682488e-02</td><td> 0.003789851</td><td> 3.36831195 </td><td>2.730330e-01</td><td>2.679800e-02</td><td> 7.51110899 </td><td> 1.436932957</td><td>1.349652e+01</td><td> 0.48499519 </td></tr>\n",
       "\t<tr><th scope=row>AAF-2</th><td> 0.99060312 </td><td> 3.7278802  </td><td> 3.34389206 </td><td>5.446137e-01</td><td> 0.744514316</td><td> 0.14193868 </td><td>1.529423e+01</td><td>2.753724e+01</td><td> 0.52875791 </td><td> 7.165415154</td><td>4.323860e+00</td><td> 7.13407804 </td></tr>\n",
       "\t<tr><th scope=row>AAG-1</th><td>10.29147802 </td><td> 0.1680197  </td><td> 0.54691393 </td><td>3.986555e-01</td><td> 1.210866246</td><td> 7.20197748 </td><td>3.970454e-02</td><td>8.213051e-02</td><td> 5.79455314 </td><td> 1.401869637</td><td>9.218881e+00</td><td> 7.70388754 </td></tr>\n",
       "\t<tr><th scope=row>AAG-2</th><td>14.55736945 </td><td> 0.2126379  </td><td> 0.30577792 </td><td>2.911390e+01</td><td> 0.008439592</td><td>19.38771250 </td><td>9.735652e-03</td><td>4.658684e-01</td><td> 6.81059512 </td><td> 4.092665861</td><td>2.039821e-01</td><td> 0.21471086 </td></tr>\n",
       "\t<tr><th scope=row>AAH</th><td> 0.45761449 </td><td> 0.8760342  </td><td>15.56994649 </td><td>5.205979e-01</td><td> 3.576995611</td><td> 0.33711407 </td><td>1.717210e+01</td><td>9.485022e+00</td><td> 5.31594709 </td><td> 4.484805826</td><td>2.472057e+00</td><td> 2.86750099 </td></tr>\n",
       "\t<tr><th scope=row>AAK-1</th><td> 1.25971169 </td><td>16.4072066  </td><td>10.80225018 </td><td>9.091211e-01</td><td>29.252638764</td><td> 0.08414751 </td><td>4.621064e-01</td><td>1.714364e-01</td><td> 0.10983951 </td><td> 0.253411119</td><td>1.101505e-01</td><td> 0.05017788 </td></tr>\n",
       "\t<tr><th scope=row>AAK-2</th><td> 0.78768845 </td><td>12.3191492  </td><td> 1.74491130 </td><td>4.892075e-02</td><td>11.441490667</td><td> 5.03405508 </td><td>8.388792e-01</td><td>3.278065e+00</td><td> 0.40403166 </td><td> 0.668900830</td><td>4.659750e-02</td><td> 0.06687766 </td></tr>\n",
       "\t<tr><th scope=row>AAL</th><td> 0.63522692 </td><td> 2.9188167  </td><td> 5.61147621 </td><td>1.124074e-01</td><td> 0.303930123</td><td> 2.22660273 </td><td>5.479838e-02</td><td>1.942345e+01</td><td> 0.01265128 </td><td> 0.004037343</td><td>9.161190e+00</td><td> 5.44011207 </td></tr>\n",
       "\t<tr><th scope=row>AAM-1</th><td> 3.13642768 </td><td>12.7808832  </td><td>39.22699939 </td><td>8.986976e+00</td><td> 0.423889887</td><td> 0.02009888 </td><td>2.270802e-01</td><td>1.585473e-01</td><td> 4.09429581 </td><td> 3.395712015</td><td>9.302881e-04</td><td> 0.01391226 </td></tr>\n",
       "\t<tr><th scope=row>AAN</th><td> 0.69217997 </td><td> 0.6038224  </td><td> 0.58640932 </td><td>3.767833e-01</td><td> 0.207768077</td><td> 4.31251800 </td><td>9.327476e+00</td><td>1.757341e-01</td><td> 0.72706934 </td><td> 0.023438394</td><td>1.556688e+01</td><td> 3.71689328 </td></tr>\n",
       "\t<tr><th scope=row>AAP</th><td> 0.39171287 </td><td> 4.8807744  </td><td> 2.95629199 </td><td>1.589241e+01</td><td> 1.295253441</td><td> 0.32091970 </td><td>1.128373e+01</td><td>1.062105e-01</td><td> 3.68830386 </td><td> 0.878810747</td><td>3.191500e+00</td><td> 1.73282849 </td></tr>\n",
       "\t<tr><th scope=row>AAS-2</th><td> 7.38193583 </td><td> 1.4108213  </td><td> 0.76144500 </td><td>1.660736e+01</td><td> 0.059149066</td><td> 0.27545353 </td><td>2.590513e+00</td><td>4.374039e-04</td><td> 6.18798831 </td><td>12.658251612</td><td>6.705610e-02</td><td> 2.21405159 </td></tr>\n",
       "\t<tr><th scope=row>AAS-3</th><td> 4.94791885 </td><td> 0.3955871  </td><td> 6.54592655 </td><td>3.287652e+00</td><td> 6.812796966</td><td> 0.53825656 </td><td>7.261176e+00</td><td>3.056422e+00</td><td> 6.37826422 </td><td> 1.190497472</td><td>4.598501e-02</td><td> 1.21811596 </td></tr>\n",
       "\t<tr><th scope=row>AAT</th><td> 0.65630967 </td><td> 0.2894080  </td><td> 0.19682380 </td><td>3.483259e-02</td><td> 0.522724138</td><td> 5.39157268 </td><td>1.144872e+01</td><td>4.327851e-05</td><td> 2.76599309 </td><td> 1.219755414</td><td>1.088594e-03</td><td>22.74126455 </td></tr>\n",
       "\t<tr><th scope=row>AAV</th><td> 1.58482871 </td><td> 3.2604709  </td><td> 0.92973266 </td><td>2.858825e-01</td><td> 1.865069038</td><td> 0.01852369 </td><td>6.852609e+00</td><td>2.042656e-01</td><td> 0.23017931 </td><td> 0.299874397</td><td>5.911831e+00</td><td> 0.58177761 </td></tr>\n",
       "\t<tr><th scope=row>AAW</th><td> 1.03394676 </td><td> 0.1348392  </td><td> 0.62783854 </td><td>1.041499e-06</td><td> 2.527859099</td><td> 0.26353154 </td><td>4.014555e-04</td><td>2.637210e+01</td><td> 3.61104245 </td><td> 1.575215558</td><td>2.611318e+00</td><td> 0.20987386 </td></tr>\n",
       "\t<tr><th scope=row>ABC</th><td>17.51473075 </td><td> 2.5759498  </td><td> 0.13250195 </td><td>2.108485e+00</td><td> 0.468602711</td><td>10.68485620 </td><td>5.101595e+00</td><td>1.466876e-01</td><td>25.97023027 </td><td> 9.377168038</td><td>2.006688e+00</td><td> 3.83962879 </td></tr>\n",
       "\t<tr><th scope=row>ABD</th><td>15.84562129 </td><td> 1.6918490  </td><td> 0.24051141 </td><td>3.573277e-01</td><td> 0.462438382</td><td> 4.28134157 </td><td>2.418046e+00</td><td>2.256868e-06</td><td> 1.64096963 </td><td> 1.505967980</td><td>1.090144e-02</td><td> 5.20299359 </td></tr>\n",
       "\t<tr><th scope=row>ABM-1</th><td>11.12428256 </td><td> 1.0246961  </td><td> 0.04719862 </td><td>9.868564e-01</td><td> 0.020863408</td><td> 9.21569050 </td><td>2.074960e+00</td><td>4.938498e-01</td><td> 1.32821182 </td><td> 0.500538360</td><td>1.716695e+01</td><td> 3.01203591 </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llllllllllll}\n",
       "  & Dim.1 & Dim.2 & Dim.3 & Dim.4 & Dim.5 & Dim.6 & Dim.7 & Dim.8 & Dim.9 & Dim.10 & Dim.11 & Dim.12\\\\\n",
       "\\hline\n",
       "\tAAB-1 &  1.22997057  &  0.1149222   &  0.10431576  & 3.771887e+00 &  4.234048161 &  3.18856923  & 1.022113e+00 & 1.701577e-01 &  3.92583170  & 23.120389221 & 2.583304e+00 &  3.66414553 \\\\\n",
       "\tAAB-2 &  0.38102095  &  3.1770769   &  2.33191190  & 1.305898e+00 &  0.970372506 & 14.48025242  & 4.801600e-01 & 2.110384e+00 &  7.14394672  & 12.116542870 & 1.632961e-01 &  0.12658664 \\\\\n",
       "\tAAD-1 &  0.24064575  & 10.2070391   &  0.03287607  & 9.935896e+00 & 17.709489271 &  2.84687052  & 9.966472e-01 & 3.062378e-02 &  0.68691378  &  0.045878743 & 1.404249e+00 & 21.49741741 \\\\\n",
       "\tAAD-2 &  0.48070695  & 13.3367574   &  2.51562319  & 1.889046e-02 & 11.529184590 &  2.03185889  & 4.223654e-01 & 2.156701e+00 &  0.78544888  &  8.236094365 & 5.886957e+00 &  1.91830824 \\\\\n",
       "\tAAF-1 &  0.03024262  &  3.1375324   &  0.49059968  & 4.682488e-02 &  0.003789851 &  3.36831195  & 2.730330e-01 & 2.679800e-02 &  7.51110899  &  1.436932957 & 1.349652e+01 &  0.48499519 \\\\\n",
       "\tAAF-2 &  0.99060312  &  3.7278802   &  3.34389206  & 5.446137e-01 &  0.744514316 &  0.14193868  & 1.529423e+01 & 2.753724e+01 &  0.52875791  &  7.165415154 & 4.323860e+00 &  7.13407804 \\\\\n",
       "\tAAG-1 & 10.29147802  &  0.1680197   &  0.54691393  & 3.986555e-01 &  1.210866246 &  7.20197748  & 3.970454e-02 & 8.213051e-02 &  5.79455314  &  1.401869637 & 9.218881e+00 &  7.70388754 \\\\\n",
       "\tAAG-2 & 14.55736945  &  0.2126379   &  0.30577792  & 2.911390e+01 &  0.008439592 & 19.38771250  & 9.735652e-03 & 4.658684e-01 &  6.81059512  &  4.092665861 & 2.039821e-01 &  0.21471086 \\\\\n",
       "\tAAH &  0.45761449  &  0.8760342   & 15.56994649  & 5.205979e-01 &  3.576995611 &  0.33711407  & 1.717210e+01 & 9.485022e+00 &  5.31594709  &  4.484805826 & 2.472057e+00 &  2.86750099 \\\\\n",
       "\tAAK-1 &  1.25971169  & 16.4072066   & 10.80225018  & 9.091211e-01 & 29.252638764 &  0.08414751  & 4.621064e-01 & 1.714364e-01 &  0.10983951  &  0.253411119 & 1.101505e-01 &  0.05017788 \\\\\n",
       "\tAAK-2 &  0.78768845  & 12.3191492   &  1.74491130  & 4.892075e-02 & 11.441490667 &  5.03405508  & 8.388792e-01 & 3.278065e+00 &  0.40403166  &  0.668900830 & 4.659750e-02 &  0.06687766 \\\\\n",
       "\tAAL &  0.63522692  &  2.9188167   &  5.61147621  & 1.124074e-01 &  0.303930123 &  2.22660273  & 5.479838e-02 & 1.942345e+01 &  0.01265128  &  0.004037343 & 9.161190e+00 &  5.44011207 \\\\\n",
       "\tAAM-1 &  3.13642768  & 12.7808832   & 39.22699939  & 8.986976e+00 &  0.423889887 &  0.02009888  & 2.270802e-01 & 1.585473e-01 &  4.09429581  &  3.395712015 & 9.302881e-04 &  0.01391226 \\\\\n",
       "\tAAN &  0.69217997  &  0.6038224   &  0.58640932  & 3.767833e-01 &  0.207768077 &  4.31251800  & 9.327476e+00 & 1.757341e-01 &  0.72706934  &  0.023438394 & 1.556688e+01 &  3.71689328 \\\\\n",
       "\tAAP &  0.39171287  &  4.8807744   &  2.95629199  & 1.589241e+01 &  1.295253441 &  0.32091970  & 1.128373e+01 & 1.062105e-01 &  3.68830386  &  0.878810747 & 3.191500e+00 &  1.73282849 \\\\\n",
       "\tAAS-2 &  7.38193583  &  1.4108213   &  0.76144500  & 1.660736e+01 &  0.059149066 &  0.27545353  & 2.590513e+00 & 4.374039e-04 &  6.18798831  & 12.658251612 & 6.705610e-02 &  2.21405159 \\\\\n",
       "\tAAS-3 &  4.94791885  &  0.3955871   &  6.54592655  & 3.287652e+00 &  6.812796966 &  0.53825656  & 7.261176e+00 & 3.056422e+00 &  6.37826422  &  1.190497472 & 4.598501e-02 &  1.21811596 \\\\\n",
       "\tAAT &  0.65630967  &  0.2894080   &  0.19682380  & 3.483259e-02 &  0.522724138 &  5.39157268  & 1.144872e+01 & 4.327851e-05 &  2.76599309  &  1.219755414 & 1.088594e-03 & 22.74126455 \\\\\n",
       "\tAAV &  1.58482871  &  3.2604709   &  0.92973266  & 2.858825e-01 &  1.865069038 &  0.01852369  & 6.852609e+00 & 2.042656e-01 &  0.23017931  &  0.299874397 & 5.911831e+00 &  0.58177761 \\\\\n",
       "\tAAW &  1.03394676  &  0.1348392   &  0.62783854  & 1.041499e-06 &  2.527859099 &  0.26353154  & 4.014555e-04 & 2.637210e+01 &  3.61104245  &  1.575215558 & 2.611318e+00 &  0.20987386 \\\\\n",
       "\tABC & 17.51473075  &  2.5759498   &  0.13250195  & 2.108485e+00 &  0.468602711 & 10.68485620  & 5.101595e+00 & 1.466876e-01 & 25.97023027  &  9.377168038 & 2.006688e+00 &  3.83962879 \\\\\n",
       "\tABD & 15.84562129  &  1.6918490   &  0.24051141  & 3.573277e-01 &  0.462438382 &  4.28134157  & 2.418046e+00 & 2.256868e-06 &  1.64096963  &  1.505967980 & 1.090144e-02 &  5.20299359 \\\\\n",
       "\tABM-1 & 11.12428256  &  1.0246961   &  0.04719862  & 9.868564e-01 &  0.020863408 &  9.21569050  & 2.074960e+00 & 4.938498e-01 &  1.32821182  &  0.500538360 & 1.716695e+01 &  3.01203591 \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | Dim.1 | Dim.2 | Dim.3 | Dim.4 | Dim.5 | Dim.6 | Dim.7 | Dim.8 | Dim.9 | Dim.10 | Dim.11 | Dim.12 | \n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| AAB-1 |  1.22997057  |  0.1149222   |  0.10431576  | 3.771887e+00 |  4.234048161 |  3.18856923  | 1.022113e+00 | 1.701577e-01 |  3.92583170  | 23.120389221 | 2.583304e+00 |  3.66414553  | \n",
       "| AAB-2 |  0.38102095  |  3.1770769   |  2.33191190  | 1.305898e+00 |  0.970372506 | 14.48025242  | 4.801600e-01 | 2.110384e+00 |  7.14394672  | 12.116542870 | 1.632961e-01 |  0.12658664  | \n",
       "| AAD-1 |  0.24064575  | 10.2070391   |  0.03287607  | 9.935896e+00 | 17.709489271 |  2.84687052  | 9.966472e-01 | 3.062378e-02 |  0.68691378  |  0.045878743 | 1.404249e+00 | 21.49741741  | \n",
       "| AAD-2 |  0.48070695  | 13.3367574   |  2.51562319  | 1.889046e-02 | 11.529184590 |  2.03185889  | 4.223654e-01 | 2.156701e+00 |  0.78544888  |  8.236094365 | 5.886957e+00 |  1.91830824  | \n",
       "| AAF-1 |  0.03024262  |  3.1375324   |  0.49059968  | 4.682488e-02 |  0.003789851 |  3.36831195  | 2.730330e-01 | 2.679800e-02 |  7.51110899  |  1.436932957 | 1.349652e+01 |  0.48499519  | \n",
       "| AAF-2 |  0.99060312  |  3.7278802   |  3.34389206  | 5.446137e-01 |  0.744514316 |  0.14193868  | 1.529423e+01 | 2.753724e+01 |  0.52875791  |  7.165415154 | 4.323860e+00 |  7.13407804  | \n",
       "| AAG-1 | 10.29147802  |  0.1680197   |  0.54691393  | 3.986555e-01 |  1.210866246 |  7.20197748  | 3.970454e-02 | 8.213051e-02 |  5.79455314  |  1.401869637 | 9.218881e+00 |  7.70388754  | \n",
       "| AAG-2 | 14.55736945  |  0.2126379   |  0.30577792  | 2.911390e+01 |  0.008439592 | 19.38771250  | 9.735652e-03 | 4.658684e-01 |  6.81059512  |  4.092665861 | 2.039821e-01 |  0.21471086  | \n",
       "| AAH |  0.45761449  |  0.8760342   | 15.56994649  | 5.205979e-01 |  3.576995611 |  0.33711407  | 1.717210e+01 | 9.485022e+00 |  5.31594709  |  4.484805826 | 2.472057e+00 |  2.86750099  | \n",
       "| AAK-1 |  1.25971169  | 16.4072066   | 10.80225018  | 9.091211e-01 | 29.252638764 |  0.08414751  | 4.621064e-01 | 1.714364e-01 |  0.10983951  |  0.253411119 | 1.101505e-01 |  0.05017788  | \n",
       "| AAK-2 |  0.78768845  | 12.3191492   |  1.74491130  | 4.892075e-02 | 11.441490667 |  5.03405508  | 8.388792e-01 | 3.278065e+00 |  0.40403166  |  0.668900830 | 4.659750e-02 |  0.06687766  | \n",
       "| AAL |  0.63522692  |  2.9188167   |  5.61147621  | 1.124074e-01 |  0.303930123 |  2.22660273  | 5.479838e-02 | 1.942345e+01 |  0.01265128  |  0.004037343 | 9.161190e+00 |  5.44011207  | \n",
       "| AAM-1 |  3.13642768  | 12.7808832   | 39.22699939  | 8.986976e+00 |  0.423889887 |  0.02009888  | 2.270802e-01 | 1.585473e-01 |  4.09429581  |  3.395712015 | 9.302881e-04 |  0.01391226  | \n",
       "| AAN |  0.69217997  |  0.6038224   |  0.58640932  | 3.767833e-01 |  0.207768077 |  4.31251800  | 9.327476e+00 | 1.757341e-01 |  0.72706934  |  0.023438394 | 1.556688e+01 |  3.71689328  | \n",
       "| AAP |  0.39171287  |  4.8807744   |  2.95629199  | 1.589241e+01 |  1.295253441 |  0.32091970  | 1.128373e+01 | 1.062105e-01 |  3.68830386  |  0.878810747 | 3.191500e+00 |  1.73282849  | \n",
       "| AAS-2 |  7.38193583  |  1.4108213   |  0.76144500  | 1.660736e+01 |  0.059149066 |  0.27545353  | 2.590513e+00 | 4.374039e-04 |  6.18798831  | 12.658251612 | 6.705610e-02 |  2.21405159  | \n",
       "| AAS-3 |  4.94791885  |  0.3955871   |  6.54592655  | 3.287652e+00 |  6.812796966 |  0.53825656  | 7.261176e+00 | 3.056422e+00 |  6.37826422  |  1.190497472 | 4.598501e-02 |  1.21811596  | \n",
       "| AAT |  0.65630967  |  0.2894080   |  0.19682380  | 3.483259e-02 |  0.522724138 |  5.39157268  | 1.144872e+01 | 4.327851e-05 |  2.76599309  |  1.219755414 | 1.088594e-03 | 22.74126455  | \n",
       "| AAV |  1.58482871  |  3.2604709   |  0.92973266  | 2.858825e-01 |  1.865069038 |  0.01852369  | 6.852609e+00 | 2.042656e-01 |  0.23017931  |  0.299874397 | 5.911831e+00 |  0.58177761  | \n",
       "| AAW |  1.03394676  |  0.1348392   |  0.62783854  | 1.041499e-06 |  2.527859099 |  0.26353154  | 4.014555e-04 | 2.637210e+01 |  3.61104245  |  1.575215558 | 2.611318e+00 |  0.20987386  | \n",
       "| ABC | 17.51473075  |  2.5759498   |  0.13250195  | 2.108485e+00 |  0.468602711 | 10.68485620  | 5.101595e+00 | 1.466876e-01 | 25.97023027  |  9.377168038 | 2.006688e+00 |  3.83962879  | \n",
       "| ABD | 15.84562129  |  1.6918490   |  0.24051141  | 3.573277e-01 |  0.462438382 |  4.28134157  | 2.418046e+00 | 2.256868e-06 |  1.64096963  |  1.505967980 | 1.090144e-02 |  5.20299359  | \n",
       "| ABM-1 | 11.12428256  |  1.0246961   |  0.04719862  | 9.868564e-01 |  0.020863408 |  9.21569050  | 2.074960e+00 | 4.938498e-01 |  1.32821182  |  0.500538360 | 1.716695e+01 |  3.01203591  | \n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "      Dim.1       Dim.2      Dim.3       Dim.4        Dim.5        Dim.6      \n",
       "AAB-1  1.22997057  0.1149222  0.10431576 3.771887e+00  4.234048161  3.18856923\n",
       "AAB-2  0.38102095  3.1770769  2.33191190 1.305898e+00  0.970372506 14.48025242\n",
       "AAD-1  0.24064575 10.2070391  0.03287607 9.935896e+00 17.709489271  2.84687052\n",
       "AAD-2  0.48070695 13.3367574  2.51562319 1.889046e-02 11.529184590  2.03185889\n",
       "AAF-1  0.03024262  3.1375324  0.49059968 4.682488e-02  0.003789851  3.36831195\n",
       "AAF-2  0.99060312  3.7278802  3.34389206 5.446137e-01  0.744514316  0.14193868\n",
       "AAG-1 10.29147802  0.1680197  0.54691393 3.986555e-01  1.210866246  7.20197748\n",
       "AAG-2 14.55736945  0.2126379  0.30577792 2.911390e+01  0.008439592 19.38771250\n",
       "AAH    0.45761449  0.8760342 15.56994649 5.205979e-01  3.576995611  0.33711407\n",
       "AAK-1  1.25971169 16.4072066 10.80225018 9.091211e-01 29.252638764  0.08414751\n",
       "AAK-2  0.78768845 12.3191492  1.74491130 4.892075e-02 11.441490667  5.03405508\n",
       "AAL    0.63522692  2.9188167  5.61147621 1.124074e-01  0.303930123  2.22660273\n",
       "AAM-1  3.13642768 12.7808832 39.22699939 8.986976e+00  0.423889887  0.02009888\n",
       "AAN    0.69217997  0.6038224  0.58640932 3.767833e-01  0.207768077  4.31251800\n",
       "AAP    0.39171287  4.8807744  2.95629199 1.589241e+01  1.295253441  0.32091970\n",
       "AAS-2  7.38193583  1.4108213  0.76144500 1.660736e+01  0.059149066  0.27545353\n",
       "AAS-3  4.94791885  0.3955871  6.54592655 3.287652e+00  6.812796966  0.53825656\n",
       "AAT    0.65630967  0.2894080  0.19682380 3.483259e-02  0.522724138  5.39157268\n",
       "AAV    1.58482871  3.2604709  0.92973266 2.858825e-01  1.865069038  0.01852369\n",
       "AAW    1.03394676  0.1348392  0.62783854 1.041499e-06  2.527859099  0.26353154\n",
       "ABC   17.51473075  2.5759498  0.13250195 2.108485e+00  0.468602711 10.68485620\n",
       "ABD   15.84562129  1.6918490  0.24051141 3.573277e-01  0.462438382  4.28134157\n",
       "ABM-1 11.12428256  1.0246961  0.04719862 9.868564e-01  0.020863408  9.21569050\n",
       "      Dim.7        Dim.8        Dim.9       Dim.10       Dim.11      \n",
       "AAB-1 1.022113e+00 1.701577e-01  3.92583170 23.120389221 2.583304e+00\n",
       "AAB-2 4.801600e-01 2.110384e+00  7.14394672 12.116542870 1.632961e-01\n",
       "AAD-1 9.966472e-01 3.062378e-02  0.68691378  0.045878743 1.404249e+00\n",
       "AAD-2 4.223654e-01 2.156701e+00  0.78544888  8.236094365 5.886957e+00\n",
       "AAF-1 2.730330e-01 2.679800e-02  7.51110899  1.436932957 1.349652e+01\n",
       "AAF-2 1.529423e+01 2.753724e+01  0.52875791  7.165415154 4.323860e+00\n",
       "AAG-1 3.970454e-02 8.213051e-02  5.79455314  1.401869637 9.218881e+00\n",
       "AAG-2 9.735652e-03 4.658684e-01  6.81059512  4.092665861 2.039821e-01\n",
       "AAH   1.717210e+01 9.485022e+00  5.31594709  4.484805826 2.472057e+00\n",
       "AAK-1 4.621064e-01 1.714364e-01  0.10983951  0.253411119 1.101505e-01\n",
       "AAK-2 8.388792e-01 3.278065e+00  0.40403166  0.668900830 4.659750e-02\n",
       "AAL   5.479838e-02 1.942345e+01  0.01265128  0.004037343 9.161190e+00\n",
       "AAM-1 2.270802e-01 1.585473e-01  4.09429581  3.395712015 9.302881e-04\n",
       "AAN   9.327476e+00 1.757341e-01  0.72706934  0.023438394 1.556688e+01\n",
       "AAP   1.128373e+01 1.062105e-01  3.68830386  0.878810747 3.191500e+00\n",
       "AAS-2 2.590513e+00 4.374039e-04  6.18798831 12.658251612 6.705610e-02\n",
       "AAS-3 7.261176e+00 3.056422e+00  6.37826422  1.190497472 4.598501e-02\n",
       "AAT   1.144872e+01 4.327851e-05  2.76599309  1.219755414 1.088594e-03\n",
       "AAV   6.852609e+00 2.042656e-01  0.23017931  0.299874397 5.911831e+00\n",
       "AAW   4.014555e-04 2.637210e+01  3.61104245  1.575215558 2.611318e+00\n",
       "ABC   5.101595e+00 1.466876e-01 25.97023027  9.377168038 2.006688e+00\n",
       "ABD   2.418046e+00 2.256868e-06  1.64096963  1.505967980 1.090144e-02\n",
       "ABM-1 2.074960e+00 4.938498e-01  1.32821182  0.500538360 1.716695e+01\n",
       "      Dim.12     \n",
       "AAB-1  3.66414553\n",
       "AAB-2  0.12658664\n",
       "AAD-1 21.49741741\n",
       "AAD-2  1.91830824\n",
       "AAF-1  0.48499519\n",
       "AAF-2  7.13407804\n",
       "AAG-1  7.70388754\n",
       "AAG-2  0.21471086\n",
       "AAH    2.86750099\n",
       "AAK-1  0.05017788\n",
       "AAK-2  0.06687766\n",
       "AAL    5.44011207\n",
       "AAM-1  0.01391226\n",
       "AAN    3.71689328\n",
       "AAP    1.73282849\n",
       "AAS-2  2.21405159\n",
       "AAS-3  1.21811596\n",
       "AAT   22.74126455\n",
       "AAV    0.58177761\n",
       "AAW    0.20987386\n",
       "ABC    3.83962879\n",
       "ABD    5.20299359\n",
       "ABM-1  3.01203591"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>Dim.1</th><th scope=col>Dim.2</th><th scope=col>Dim.3</th><th scope=col>Dim.4</th><th scope=col>Dim.5</th><th scope=col>Dim.6</th><th scope=col>Dim.7</th><th scope=col>Dim.8</th><th scope=col>Dim.9</th><th scope=col>Dim.10</th><th scope=col>Dim.11</th><th scope=col>Dim.12</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>AAB-1</th><td>0.332399798 </td><td>0.022208186 </td><td>0.0085163464</td><td>2.549159e-01</td><td>1.478907e-01</td><td>9.848209e-02</td><td>1.665365e-02</td><td>1.479996e-03</td><td>2.598138e-02</td><td>8.790930e-02</td><td>3.201565e-03</td><td>3.610904e-04</td></tr>\n",
       "\t<tr><th scope=row>AAB-2</th><td>0.064500603 </td><td>0.384579199 </td><td>0.1192516542</td><td>5.528362e-02</td><td>2.123109e-02</td><td>2.801473e-01</td><td>4.900555e-03</td><td>1.149791e-02</td><td>2.961540e-02</td><td>2.885807e-02</td><td>1.267686e-04</td><td>7.814119e-06</td></tr>\n",
       "\t<tr><th scope=row>AAD-1</th><td>0.018887459 </td><td>0.572846505 </td><td>0.0007794936</td><td>1.950180e-01</td><td>1.796472e-01</td><td>2.553633e-02</td><td>4.716080e-03</td><td>7.735653e-05</td><td>1.320268e-03</td><td>5.066179e-05</td><td>5.054291e-04</td><td>6.152603e-04</td></tr>\n",
       "\t<tr><th scope=row>AAD-2</th><td>0.037667119 </td><td>0.747266277 </td><td>0.0595476926</td><td>3.701662e-04</td><td>1.167615e-01</td><td>1.819579e-02</td><td>1.995330e-03</td><td>5.438946e-03</td><td>1.507177e-03</td><td>9.079815e-03</td><td>2.115406e-03</td><td>5.481225e-05</td></tr>\n",
       "\t<tr><th scope=row>AAF-1</th><td>0.009747271 </td><td>0.723094485 </td><td>0.0477670363</td><td>3.774094e-03</td><td>1.578719e-04</td><td>1.240713e-01</td><td>5.305463e-03</td><td>2.779769e-04</td><td>5.928328e-02</td><td>6.515892e-03</td><td>1.994832e-02</td><td>5.700046e-05</td></tr>\n",
       "\t<tr><th scope=row>AAF-2</th><td>0.144411026 </td><td>0.388602638 </td><td>0.1472618529</td><td>1.985462e-02</td><td>1.402790e-02</td><td>2.364813e-03</td><td>1.344227e-01</td><td>1.292004e-01</td><td>1.887652e-03</td><td>1.469656e-02</td><td>2.890634e-03</td><td>3.792414e-04</td></tr>\n",
       "\t<tr><th scope=row>AAG-1</th><td>0.867171376 </td><td>0.010123494 </td><td>0.0139214195</td><td>8.400348e-03</td><td>1.318689e-02</td><td>6.935445e-02</td><td>2.017027e-04</td><td>2.227278e-04</td><td>1.195671e-02</td><td>1.661914e-03</td><td>3.562264e-03</td><td>2.367088e-04</td></tr>\n",
       "\t<tr><th scope=row>AAG-2</th><td>0.593202876 </td><td>0.006195896 </td><td>0.0037641231</td><td>2.966833e-01</td><td>4.444888e-05</td><td>9.029055e-02</td><td>2.391827e-05</td><td>6.109791e-04</td><td>6.796258e-03</td><td>2.346391e-03</td><td>3.811828e-05</td><td>3.190447e-06</td></tr>\n",
       "\t<tr><th scope=row>AAH</th><td>0.057454382 </td><td>0.078647985 </td><td>0.5905380142</td><td>1.634550e-02</td><td>5.804446e-02</td><td>4.837218e-03</td><td>1.299844e-01</td><td>3.832697e-02</td><td>1.634438e-02</td><td>7.922107e-03</td><td>1.423320e-03</td><td>1.312817e-04</td></tr>\n",
       "\t<tr><th scope=row>AAK-1</th><td>0.062014893 </td><td>0.577567328 </td><td>0.1606484049</td><td>1.119229e-02</td><td>1.861268e-01</td><td>4.734362e-04</td><td>1.371549e-03</td><td>2.716255e-04</td><td>1.324183e-04</td><td>1.755190e-04</td><td>2.486750e-05</td><td>9.007709e-07</td></tr>\n",
       "\t<tr><th scope=row>AAK-2</th><td>0.063699426 </td><td>0.712368797 </td><td>0.0426276846</td><td>9.893419e-04</td><td>1.195866e-01</td><td>4.652586e-02</td><td>4.090014e-03</td><td>8.531813e-03</td><td>8.001306e-04</td><td>7.610557e-04</td><td>1.728083e-05</td><td>1.972147e-06</td></tr>\n",
       "\t<tr><th scope=row>AAL</th><td>0.117369632 </td><td>0.385635313 </td><td>0.3132141120</td><td>5.193905e-03</td><td>7.258043e-03</td><td>4.701809e-02</td><td>6.104344e-04</td><td>1.155037e-01</td><td>5.724343e-05</td><td>1.049533e-05</td><td>7.762462e-03</td><td>3.665320e-04</td></tr>\n",
       "\t<tr><th scope=row>AAM-1</th><td>0.117924094 </td><td>0.343614333 </td><td>0.4455430843</td><td>8.449930e-02</td><td>2.059867e-03</td><td>8.636434e-05</td><td>5.147435e-04</td><td>1.918532e-04</td><td>3.769736e-03</td><td>1.796271e-03</td><td>1.604004e-07</td><td>1.907402e-07</td></tr>\n",
       "\t<tr><th scope=row>AAN</th><td>0.268919980 </td><td>0.167747634 </td><td>0.0688243722</td><td>3.660732e-02</td><td>1.043282e-02</td><td>1.914831e-01</td><td>2.184804e-01</td><td>2.197369e-03</td><td>6.917423e-03</td><td>1.281166e-04</td><td>2.773488e-02</td><td>5.265764e-04</td></tr>\n",
       "\t<tr><th scope=row>AAP</th><td>0.040155516 </td><td>0.357774388 </td><td>0.0915507806</td><td>4.074172e-01</td><td>1.716134e-02</td><td>3.759838e-03</td><td>6.973880e-02</td><td>3.504189e-04</td><td>9.259094e-03</td><td>1.267495e-03</td><td>1.500351e-03</td><td>6.477541e-05</td></tr>\n",
       "\t<tr><th scope=row>AAS-2</th><td>0.555034731 </td><td>0.075851652 </td><td>0.0172952076</td><td>3.122645e-01</td><td>5.748000e-04</td><td>2.366975e-03</td><td>1.174303e-02</td><td>1.058462e-06</td><td>1.139367e-02</td><td>1.339052e-02</td><td>2.312112e-05</td><td>6.070366e-05</td></tr>\n",
       "\t<tr><th scope=row>AAS-3</th><td>0.511032282 </td><td>0.029215343 </td><td>0.2042369163</td><td>8.491490e-02</td><td>9.094319e-02</td><td>6.353463e-03</td><td>4.521444e-02</td><td>1.015972e-02</td><td>1.613217e-02</td><td>1.729928e-03</td><td>2.178025e-05</td><td>4.587664e-05</td></tr>\n",
       "\t<tr><th scope=row>AAT</th><td>0.273621339 </td><td>0.086276965 </td><td>0.0247888351</td><td>3.631610e-03</td><td>2.816649e-02</td><td>2.568929e-01</td><td>2.877679e-01</td><td>5.807058e-07</td><td>2.823948e-02</td><td>7.154637e-03</td><td>2.081267e-06</td><td>3.457268e-03</td></tr>\n",
       "\t<tr><th scope=row>AAV</th><td>0.318963279 </td><td>0.469225726 </td><td>0.0565267213</td><td>1.438859e-02</td><td>4.851457e-02</td><td>4.260703e-04</td><td>8.314931e-02</td><td>1.323111e-03</td><td>1.134460e-03</td><td>8.491246e-04</td><td>5.456336e-03</td><td>4.269653e-05</td></tr>\n",
       "\t<tr><th scope=row>AAW</th><td>0.390419479 </td><td>0.036407635 </td><td>0.0716174119</td><td>9.834774e-08</td><td>1.233687e-01</td><td>1.137264e-02</td><td>9.139345e-06</td><td>3.204946e-01</td><td>3.339107e-02</td><td>8.368487e-03</td><td>4.521826e-03</td><td>2.889807e-05</td></tr>\n",
       "\t<tr><th scope=row>ABC</th><td>0.785536985 </td><td>0.082612109 </td><td>0.0017952411</td><td>2.364863e-02</td><td>2.716358e-03</td><td>5.476805e-02</td><td>1.379474e-02</td><td>2.117382e-04</td><td>2.852354e-02</td><td>5.917095e-03</td><td>4.127280e-04</td><td>6.279566e-05</td></tr>\n",
       "\t<tr><th scope=row>ABD</th><td>0.881507974 </td><td>0.067301028 </td><td>0.0040419413</td><td>4.971140e-03</td><td>3.324986e-03</td><td>2.722026e-02</td><td>8.110094e-03</td><td>4.040787e-09</td><td>2.235537e-03</td><td>1.178708e-03</td><td>2.781132e-06</td><td>1.055474e-04</td></tr>\n",
       "\t<tr><th scope=row>ABM-1</th><td>0.828046945 </td><td>0.054540760 </td><td>0.0010613279</td><td>1.837000e-02</td><td>2.007184e-04</td><td>7.839822e-02</td><td>9.311873e-03</td><td>1.183098e-03</td><td>2.421111e-03</td><td>5.241963e-04</td><td>5.859991e-03</td><td>8.175613e-05</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llllllllllll}\n",
       "  & Dim.1 & Dim.2 & Dim.3 & Dim.4 & Dim.5 & Dim.6 & Dim.7 & Dim.8 & Dim.9 & Dim.10 & Dim.11 & Dim.12\\\\\n",
       "\\hline\n",
       "\tAAB-1 & 0.332399798  & 0.022208186  & 0.0085163464 & 2.549159e-01 & 1.478907e-01 & 9.848209e-02 & 1.665365e-02 & 1.479996e-03 & 2.598138e-02 & 8.790930e-02 & 3.201565e-03 & 3.610904e-04\\\\\n",
       "\tAAB-2 & 0.064500603  & 0.384579199  & 0.1192516542 & 5.528362e-02 & 2.123109e-02 & 2.801473e-01 & 4.900555e-03 & 1.149791e-02 & 2.961540e-02 & 2.885807e-02 & 1.267686e-04 & 7.814119e-06\\\\\n",
       "\tAAD-1 & 0.018887459  & 0.572846505  & 0.0007794936 & 1.950180e-01 & 1.796472e-01 & 2.553633e-02 & 4.716080e-03 & 7.735653e-05 & 1.320268e-03 & 5.066179e-05 & 5.054291e-04 & 6.152603e-04\\\\\n",
       "\tAAD-2 & 0.037667119  & 0.747266277  & 0.0595476926 & 3.701662e-04 & 1.167615e-01 & 1.819579e-02 & 1.995330e-03 & 5.438946e-03 & 1.507177e-03 & 9.079815e-03 & 2.115406e-03 & 5.481225e-05\\\\\n",
       "\tAAF-1 & 0.009747271  & 0.723094485  & 0.0477670363 & 3.774094e-03 & 1.578719e-04 & 1.240713e-01 & 5.305463e-03 & 2.779769e-04 & 5.928328e-02 & 6.515892e-03 & 1.994832e-02 & 5.700046e-05\\\\\n",
       "\tAAF-2 & 0.144411026  & 0.388602638  & 0.1472618529 & 1.985462e-02 & 1.402790e-02 & 2.364813e-03 & 1.344227e-01 & 1.292004e-01 & 1.887652e-03 & 1.469656e-02 & 2.890634e-03 & 3.792414e-04\\\\\n",
       "\tAAG-1 & 0.867171376  & 0.010123494  & 0.0139214195 & 8.400348e-03 & 1.318689e-02 & 6.935445e-02 & 2.017027e-04 & 2.227278e-04 & 1.195671e-02 & 1.661914e-03 & 3.562264e-03 & 2.367088e-04\\\\\n",
       "\tAAG-2 & 0.593202876  & 0.006195896  & 0.0037641231 & 2.966833e-01 & 4.444888e-05 & 9.029055e-02 & 2.391827e-05 & 6.109791e-04 & 6.796258e-03 & 2.346391e-03 & 3.811828e-05 & 3.190447e-06\\\\\n",
       "\tAAH & 0.057454382  & 0.078647985  & 0.5905380142 & 1.634550e-02 & 5.804446e-02 & 4.837218e-03 & 1.299844e-01 & 3.832697e-02 & 1.634438e-02 & 7.922107e-03 & 1.423320e-03 & 1.312817e-04\\\\\n",
       "\tAAK-1 & 0.062014893  & 0.577567328  & 0.1606484049 & 1.119229e-02 & 1.861268e-01 & 4.734362e-04 & 1.371549e-03 & 2.716255e-04 & 1.324183e-04 & 1.755190e-04 & 2.486750e-05 & 9.007709e-07\\\\\n",
       "\tAAK-2 & 0.063699426  & 0.712368797  & 0.0426276846 & 9.893419e-04 & 1.195866e-01 & 4.652586e-02 & 4.090014e-03 & 8.531813e-03 & 8.001306e-04 & 7.610557e-04 & 1.728083e-05 & 1.972147e-06\\\\\n",
       "\tAAL & 0.117369632  & 0.385635313  & 0.3132141120 & 5.193905e-03 & 7.258043e-03 & 4.701809e-02 & 6.104344e-04 & 1.155037e-01 & 5.724343e-05 & 1.049533e-05 & 7.762462e-03 & 3.665320e-04\\\\\n",
       "\tAAM-1 & 0.117924094  & 0.343614333  & 0.4455430843 & 8.449930e-02 & 2.059867e-03 & 8.636434e-05 & 5.147435e-04 & 1.918532e-04 & 3.769736e-03 & 1.796271e-03 & 1.604004e-07 & 1.907402e-07\\\\\n",
       "\tAAN & 0.268919980  & 0.167747634  & 0.0688243722 & 3.660732e-02 & 1.043282e-02 & 1.914831e-01 & 2.184804e-01 & 2.197369e-03 & 6.917423e-03 & 1.281166e-04 & 2.773488e-02 & 5.265764e-04\\\\\n",
       "\tAAP & 0.040155516  & 0.357774388  & 0.0915507806 & 4.074172e-01 & 1.716134e-02 & 3.759838e-03 & 6.973880e-02 & 3.504189e-04 & 9.259094e-03 & 1.267495e-03 & 1.500351e-03 & 6.477541e-05\\\\\n",
       "\tAAS-2 & 0.555034731  & 0.075851652  & 0.0172952076 & 3.122645e-01 & 5.748000e-04 & 2.366975e-03 & 1.174303e-02 & 1.058462e-06 & 1.139367e-02 & 1.339052e-02 & 2.312112e-05 & 6.070366e-05\\\\\n",
       "\tAAS-3 & 0.511032282  & 0.029215343  & 0.2042369163 & 8.491490e-02 & 9.094319e-02 & 6.353463e-03 & 4.521444e-02 & 1.015972e-02 & 1.613217e-02 & 1.729928e-03 & 2.178025e-05 & 4.587664e-05\\\\\n",
       "\tAAT & 0.273621339  & 0.086276965  & 0.0247888351 & 3.631610e-03 & 2.816649e-02 & 2.568929e-01 & 2.877679e-01 & 5.807058e-07 & 2.823948e-02 & 7.154637e-03 & 2.081267e-06 & 3.457268e-03\\\\\n",
       "\tAAV & 0.318963279  & 0.469225726  & 0.0565267213 & 1.438859e-02 & 4.851457e-02 & 4.260703e-04 & 8.314931e-02 & 1.323111e-03 & 1.134460e-03 & 8.491246e-04 & 5.456336e-03 & 4.269653e-05\\\\\n",
       "\tAAW & 0.390419479  & 0.036407635  & 0.0716174119 & 9.834774e-08 & 1.233687e-01 & 1.137264e-02 & 9.139345e-06 & 3.204946e-01 & 3.339107e-02 & 8.368487e-03 & 4.521826e-03 & 2.889807e-05\\\\\n",
       "\tABC & 0.785536985  & 0.082612109  & 0.0017952411 & 2.364863e-02 & 2.716358e-03 & 5.476805e-02 & 1.379474e-02 & 2.117382e-04 & 2.852354e-02 & 5.917095e-03 & 4.127280e-04 & 6.279566e-05\\\\\n",
       "\tABD & 0.881507974  & 0.067301028  & 0.0040419413 & 4.971140e-03 & 3.324986e-03 & 2.722026e-02 & 8.110094e-03 & 4.040787e-09 & 2.235537e-03 & 1.178708e-03 & 2.781132e-06 & 1.055474e-04\\\\\n",
       "\tABM-1 & 0.828046945  & 0.054540760  & 0.0010613279 & 1.837000e-02 & 2.007184e-04 & 7.839822e-02 & 9.311873e-03 & 1.183098e-03 & 2.421111e-03 & 5.241963e-04 & 5.859991e-03 & 8.175613e-05\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | Dim.1 | Dim.2 | Dim.3 | Dim.4 | Dim.5 | Dim.6 | Dim.7 | Dim.8 | Dim.9 | Dim.10 | Dim.11 | Dim.12 | \n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| AAB-1 | 0.332399798  | 0.022208186  | 0.0085163464 | 2.549159e-01 | 1.478907e-01 | 9.848209e-02 | 1.665365e-02 | 1.479996e-03 | 2.598138e-02 | 8.790930e-02 | 3.201565e-03 | 3.610904e-04 | \n",
       "| AAB-2 | 0.064500603  | 0.384579199  | 0.1192516542 | 5.528362e-02 | 2.123109e-02 | 2.801473e-01 | 4.900555e-03 | 1.149791e-02 | 2.961540e-02 | 2.885807e-02 | 1.267686e-04 | 7.814119e-06 | \n",
       "| AAD-1 | 0.018887459  | 0.572846505  | 0.0007794936 | 1.950180e-01 | 1.796472e-01 | 2.553633e-02 | 4.716080e-03 | 7.735653e-05 | 1.320268e-03 | 5.066179e-05 | 5.054291e-04 | 6.152603e-04 | \n",
       "| AAD-2 | 0.037667119  | 0.747266277  | 0.0595476926 | 3.701662e-04 | 1.167615e-01 | 1.819579e-02 | 1.995330e-03 | 5.438946e-03 | 1.507177e-03 | 9.079815e-03 | 2.115406e-03 | 5.481225e-05 | \n",
       "| AAF-1 | 0.009747271  | 0.723094485  | 0.0477670363 | 3.774094e-03 | 1.578719e-04 | 1.240713e-01 | 5.305463e-03 | 2.779769e-04 | 5.928328e-02 | 6.515892e-03 | 1.994832e-02 | 5.700046e-05 | \n",
       "| AAF-2 | 0.144411026  | 0.388602638  | 0.1472618529 | 1.985462e-02 | 1.402790e-02 | 2.364813e-03 | 1.344227e-01 | 1.292004e-01 | 1.887652e-03 | 1.469656e-02 | 2.890634e-03 | 3.792414e-04 | \n",
       "| AAG-1 | 0.867171376  | 0.010123494  | 0.0139214195 | 8.400348e-03 | 1.318689e-02 | 6.935445e-02 | 2.017027e-04 | 2.227278e-04 | 1.195671e-02 | 1.661914e-03 | 3.562264e-03 | 2.367088e-04 | \n",
       "| AAG-2 | 0.593202876  | 0.006195896  | 0.0037641231 | 2.966833e-01 | 4.444888e-05 | 9.029055e-02 | 2.391827e-05 | 6.109791e-04 | 6.796258e-03 | 2.346391e-03 | 3.811828e-05 | 3.190447e-06 | \n",
       "| AAH | 0.057454382  | 0.078647985  | 0.5905380142 | 1.634550e-02 | 5.804446e-02 | 4.837218e-03 | 1.299844e-01 | 3.832697e-02 | 1.634438e-02 | 7.922107e-03 | 1.423320e-03 | 1.312817e-04 | \n",
       "| AAK-1 | 0.062014893  | 0.577567328  | 0.1606484049 | 1.119229e-02 | 1.861268e-01 | 4.734362e-04 | 1.371549e-03 | 2.716255e-04 | 1.324183e-04 | 1.755190e-04 | 2.486750e-05 | 9.007709e-07 | \n",
       "| AAK-2 | 0.063699426  | 0.712368797  | 0.0426276846 | 9.893419e-04 | 1.195866e-01 | 4.652586e-02 | 4.090014e-03 | 8.531813e-03 | 8.001306e-04 | 7.610557e-04 | 1.728083e-05 | 1.972147e-06 | \n",
       "| AAL | 0.117369632  | 0.385635313  | 0.3132141120 | 5.193905e-03 | 7.258043e-03 | 4.701809e-02 | 6.104344e-04 | 1.155037e-01 | 5.724343e-05 | 1.049533e-05 | 7.762462e-03 | 3.665320e-04 | \n",
       "| AAM-1 | 0.117924094  | 0.343614333  | 0.4455430843 | 8.449930e-02 | 2.059867e-03 | 8.636434e-05 | 5.147435e-04 | 1.918532e-04 | 3.769736e-03 | 1.796271e-03 | 1.604004e-07 | 1.907402e-07 | \n",
       "| AAN | 0.268919980  | 0.167747634  | 0.0688243722 | 3.660732e-02 | 1.043282e-02 | 1.914831e-01 | 2.184804e-01 | 2.197369e-03 | 6.917423e-03 | 1.281166e-04 | 2.773488e-02 | 5.265764e-04 | \n",
       "| AAP | 0.040155516  | 0.357774388  | 0.0915507806 | 4.074172e-01 | 1.716134e-02 | 3.759838e-03 | 6.973880e-02 | 3.504189e-04 | 9.259094e-03 | 1.267495e-03 | 1.500351e-03 | 6.477541e-05 | \n",
       "| AAS-2 | 0.555034731  | 0.075851652  | 0.0172952076 | 3.122645e-01 | 5.748000e-04 | 2.366975e-03 | 1.174303e-02 | 1.058462e-06 | 1.139367e-02 | 1.339052e-02 | 2.312112e-05 | 6.070366e-05 | \n",
       "| AAS-3 | 0.511032282  | 0.029215343  | 0.2042369163 | 8.491490e-02 | 9.094319e-02 | 6.353463e-03 | 4.521444e-02 | 1.015972e-02 | 1.613217e-02 | 1.729928e-03 | 2.178025e-05 | 4.587664e-05 | \n",
       "| AAT | 0.273621339  | 0.086276965  | 0.0247888351 | 3.631610e-03 | 2.816649e-02 | 2.568929e-01 | 2.877679e-01 | 5.807058e-07 | 2.823948e-02 | 7.154637e-03 | 2.081267e-06 | 3.457268e-03 | \n",
       "| AAV | 0.318963279  | 0.469225726  | 0.0565267213 | 1.438859e-02 | 4.851457e-02 | 4.260703e-04 | 8.314931e-02 | 1.323111e-03 | 1.134460e-03 | 8.491246e-04 | 5.456336e-03 | 4.269653e-05 | \n",
       "| AAW | 0.390419479  | 0.036407635  | 0.0716174119 | 9.834774e-08 | 1.233687e-01 | 1.137264e-02 | 9.139345e-06 | 3.204946e-01 | 3.339107e-02 | 8.368487e-03 | 4.521826e-03 | 2.889807e-05 | \n",
       "| ABC | 0.785536985  | 0.082612109  | 0.0017952411 | 2.364863e-02 | 2.716358e-03 | 5.476805e-02 | 1.379474e-02 | 2.117382e-04 | 2.852354e-02 | 5.917095e-03 | 4.127280e-04 | 6.279566e-05 | \n",
       "| ABD | 0.881507974  | 0.067301028  | 0.0040419413 | 4.971140e-03 | 3.324986e-03 | 2.722026e-02 | 8.110094e-03 | 4.040787e-09 | 2.235537e-03 | 1.178708e-03 | 2.781132e-06 | 1.055474e-04 | \n",
       "| ABM-1 | 0.828046945  | 0.054540760  | 0.0010613279 | 1.837000e-02 | 2.007184e-04 | 7.839822e-02 | 9.311873e-03 | 1.183098e-03 | 2.421111e-03 | 5.241963e-04 | 5.859991e-03 | 8.175613e-05 | \n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "      Dim.1       Dim.2       Dim.3        Dim.4        Dim.5       \n",
       "AAB-1 0.332399798 0.022208186 0.0085163464 2.549159e-01 1.478907e-01\n",
       "AAB-2 0.064500603 0.384579199 0.1192516542 5.528362e-02 2.123109e-02\n",
       "AAD-1 0.018887459 0.572846505 0.0007794936 1.950180e-01 1.796472e-01\n",
       "AAD-2 0.037667119 0.747266277 0.0595476926 3.701662e-04 1.167615e-01\n",
       "AAF-1 0.009747271 0.723094485 0.0477670363 3.774094e-03 1.578719e-04\n",
       "AAF-2 0.144411026 0.388602638 0.1472618529 1.985462e-02 1.402790e-02\n",
       "AAG-1 0.867171376 0.010123494 0.0139214195 8.400348e-03 1.318689e-02\n",
       "AAG-2 0.593202876 0.006195896 0.0037641231 2.966833e-01 4.444888e-05\n",
       "AAH   0.057454382 0.078647985 0.5905380142 1.634550e-02 5.804446e-02\n",
       "AAK-1 0.062014893 0.577567328 0.1606484049 1.119229e-02 1.861268e-01\n",
       "AAK-2 0.063699426 0.712368797 0.0426276846 9.893419e-04 1.195866e-01\n",
       "AAL   0.117369632 0.385635313 0.3132141120 5.193905e-03 7.258043e-03\n",
       "AAM-1 0.117924094 0.343614333 0.4455430843 8.449930e-02 2.059867e-03\n",
       "AAN   0.268919980 0.167747634 0.0688243722 3.660732e-02 1.043282e-02\n",
       "AAP   0.040155516 0.357774388 0.0915507806 4.074172e-01 1.716134e-02\n",
       "AAS-2 0.555034731 0.075851652 0.0172952076 3.122645e-01 5.748000e-04\n",
       "AAS-3 0.511032282 0.029215343 0.2042369163 8.491490e-02 9.094319e-02\n",
       "AAT   0.273621339 0.086276965 0.0247888351 3.631610e-03 2.816649e-02\n",
       "AAV   0.318963279 0.469225726 0.0565267213 1.438859e-02 4.851457e-02\n",
       "AAW   0.390419479 0.036407635 0.0716174119 9.834774e-08 1.233687e-01\n",
       "ABC   0.785536985 0.082612109 0.0017952411 2.364863e-02 2.716358e-03\n",
       "ABD   0.881507974 0.067301028 0.0040419413 4.971140e-03 3.324986e-03\n",
       "ABM-1 0.828046945 0.054540760 0.0010613279 1.837000e-02 2.007184e-04\n",
       "      Dim.6        Dim.7        Dim.8        Dim.9        Dim.10      \n",
       "AAB-1 9.848209e-02 1.665365e-02 1.479996e-03 2.598138e-02 8.790930e-02\n",
       "AAB-2 2.801473e-01 4.900555e-03 1.149791e-02 2.961540e-02 2.885807e-02\n",
       "AAD-1 2.553633e-02 4.716080e-03 7.735653e-05 1.320268e-03 5.066179e-05\n",
       "AAD-2 1.819579e-02 1.995330e-03 5.438946e-03 1.507177e-03 9.079815e-03\n",
       "AAF-1 1.240713e-01 5.305463e-03 2.779769e-04 5.928328e-02 6.515892e-03\n",
       "AAF-2 2.364813e-03 1.344227e-01 1.292004e-01 1.887652e-03 1.469656e-02\n",
       "AAG-1 6.935445e-02 2.017027e-04 2.227278e-04 1.195671e-02 1.661914e-03\n",
       "AAG-2 9.029055e-02 2.391827e-05 6.109791e-04 6.796258e-03 2.346391e-03\n",
       "AAH   4.837218e-03 1.299844e-01 3.832697e-02 1.634438e-02 7.922107e-03\n",
       "AAK-1 4.734362e-04 1.371549e-03 2.716255e-04 1.324183e-04 1.755190e-04\n",
       "AAK-2 4.652586e-02 4.090014e-03 8.531813e-03 8.001306e-04 7.610557e-04\n",
       "AAL   4.701809e-02 6.104344e-04 1.155037e-01 5.724343e-05 1.049533e-05\n",
       "AAM-1 8.636434e-05 5.147435e-04 1.918532e-04 3.769736e-03 1.796271e-03\n",
       "AAN   1.914831e-01 2.184804e-01 2.197369e-03 6.917423e-03 1.281166e-04\n",
       "AAP   3.759838e-03 6.973880e-02 3.504189e-04 9.259094e-03 1.267495e-03\n",
       "AAS-2 2.366975e-03 1.174303e-02 1.058462e-06 1.139367e-02 1.339052e-02\n",
       "AAS-3 6.353463e-03 4.521444e-02 1.015972e-02 1.613217e-02 1.729928e-03\n",
       "AAT   2.568929e-01 2.877679e-01 5.807058e-07 2.823948e-02 7.154637e-03\n",
       "AAV   4.260703e-04 8.314931e-02 1.323111e-03 1.134460e-03 8.491246e-04\n",
       "AAW   1.137264e-02 9.139345e-06 3.204946e-01 3.339107e-02 8.368487e-03\n",
       "ABC   5.476805e-02 1.379474e-02 2.117382e-04 2.852354e-02 5.917095e-03\n",
       "ABD   2.722026e-02 8.110094e-03 4.040787e-09 2.235537e-03 1.178708e-03\n",
       "ABM-1 7.839822e-02 9.311873e-03 1.183098e-03 2.421111e-03 5.241963e-04\n",
       "      Dim.11       Dim.12      \n",
       "AAB-1 3.201565e-03 3.610904e-04\n",
       "AAB-2 1.267686e-04 7.814119e-06\n",
       "AAD-1 5.054291e-04 6.152603e-04\n",
       "AAD-2 2.115406e-03 5.481225e-05\n",
       "AAF-1 1.994832e-02 5.700046e-05\n",
       "AAF-2 2.890634e-03 3.792414e-04\n",
       "AAG-1 3.562264e-03 2.367088e-04\n",
       "AAG-2 3.811828e-05 3.190447e-06\n",
       "AAH   1.423320e-03 1.312817e-04\n",
       "AAK-1 2.486750e-05 9.007709e-07\n",
       "AAK-2 1.728083e-05 1.972147e-06\n",
       "AAL   7.762462e-03 3.665320e-04\n",
       "AAM-1 1.604004e-07 1.907402e-07\n",
       "AAN   2.773488e-02 5.265764e-04\n",
       "AAP   1.500351e-03 6.477541e-05\n",
       "AAS-2 2.312112e-05 6.070366e-05\n",
       "AAS-3 2.178025e-05 4.587664e-05\n",
       "AAT   2.081267e-06 3.457268e-03\n",
       "AAV   5.456336e-03 4.269653e-05\n",
       "AAW   4.521826e-03 2.889807e-05\n",
       "ABC   4.127280e-04 6.279566e-05\n",
       "ABD   2.781132e-06 1.055474e-04\n",
       "ABM-1 5.859991e-03 8.175613e-05"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Eigenvalues\n",
    "eig.val <- get_eigenvalue(res.pca)\n",
    "eig.val\n",
    "  \n",
    "# Results for Variables\n",
    "res.var <- get_pca_var(res.pca)\n",
    "res.var$coord          # Coordinates\n",
    "res.var$contrib        # Contributions to the PCs\n",
    "res.var$cos2           # Quality of representation \n",
    "# Results for individuals\n",
    "res.ind <- get_pca_ind(res.pca)\n",
    "res.ind$coord          # Coordinates\n",
    "res.ind$contrib        # Contributions to the PCs\n",
    "res.ind$cos2           # Quality of representation "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Compute PCA with ncp = 3\n",
    "res.pca <- PCA(data_n, ncp = 3, graph = FALSE)\n",
    "# Compute HCPC\n",
    "res.hcpc <- HCPC(res.pca, graph = FALSE)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Link between the cluster variable and the quantitative variables\n",
       "================================================================\n",
       "               Eta2      P-value\n",
       "asptenes  0.8434322 4.856911e-07\n",
       "resins    0.8425116 5.115135e-07\n",
       "wax       0.8380302 6.553587e-07\n",
       "sulfur    0.8044203 3.450086e-06\n",
       "nitrogen  0.7971894 4.745557e-06\n",
       "aromatics 0.7429081 3.771423e-05\n",
       "carbon    0.6979369 1.524389e-04\n",
       "nickel    0.6610152 4.107270e-04\n",
       "saturates 0.5937639 1.911443e-03\n",
       "hydrogen  0.5488678 4.597341e-03\n",
       "oxygen    0.5394085 5.461935e-03\n",
       "vanadium  0.4811673 1.452159e-02\n",
       "\n",
       "Description of each cluster by quantitative variables\n",
       "=====================================================\n",
       "$`1`\n",
       "             v.test Mean in category Overall mean sd in category Overall sd\n",
       "aromatics  2.901942       43.4333333   34.6217391     2.68369563  5.5159812\n",
       "saturates -1.978855        5.7666667    8.8173913     1.41970263  2.8005671\n",
       "nitrogen  -2.150414        0.4066667    0.6995652     0.07717225  0.2474299\n",
       "hydrogen  -2.412484        9.9333333   10.3647826     0.12472191  0.3248795\n",
       "resins    -2.580562       30.3000000   40.4043478     5.92339992  7.1129691\n",
       "              p.value\n",
       "aromatics 0.003708576\n",
       "saturates 0.047832318\n",
       "nitrogen  0.031522500\n",
       "hydrogen  0.015844243\n",
       "resins    0.009863957\n",
       "\n",
       "$`2`\n",
       "             v.test Mean in category Overall mean sd in category Overall sd\n",
       "nickel     3.389803          127.400    71.347826     17.6249823  40.876919\n",
       "vanadium   3.206086          693.000   243.173913    523.9793889 346.840353\n",
       "sulfur     2.851722            6.800     4.371739      0.9077445   2.104981\n",
       "asptenes   2.290860           20.000    14.673913      0.8717798   5.747379\n",
       "wax       -2.474852            1.378     2.766087      0.2962026   1.386524\n",
       "carbon    -2.494773           82.760    84.482609      0.8452219   1.706930\n",
       "aromatics -2.725619           28.540    34.621739      2.2222511   5.515981\n",
       "               p.value\n",
       "nickel    0.0006994299\n",
       "vanadium  0.0013455397\n",
       "sulfur    0.0043483043\n",
       "asptenes  0.0219715205\n",
       "wax       0.0133291367\n",
       "carbon    0.0126037860\n",
       "aromatics 0.0064181099\n",
       "\n",
       "$`3`\n",
       "            v.test Mean in category Overall mean sd in category Overall sd\n",
       "wax       3.390981            3.909     2.766087      0.7978903   1.386524\n",
       "saturates 2.589105           10.580     8.817391      1.7937670   2.800567\n",
       "               p.value\n",
       "wax       0.0006964297\n",
       "saturates 0.0096225858\n",
       "\n",
       "$`4`\n",
       "             v.test Mean in category Overall mean sd in category Overall sd\n",
       "hydrogen   2.570853             11.2    10.364783              0  0.3248795\n",
       "saturates -2.469997              1.9     8.817391              0  2.8005671\n",
       "             p.value\n",
       "hydrogen  0.01014484\n",
       "saturates 0.01351143\n",
       "\n",
       "$`5`\n",
       "            v.test Mean in category Overall mean sd in category Overall sd\n",
       "nitrogen  3.787350           1.1350    0.6995652     0.04387482  0.2474299\n",
       "resins    3.455449          51.8250   40.4043478     0.73612159  7.1129691\n",
       "oxygen    2.924838           1.3625    0.9665217     0.33078505  0.2913627\n",
       "carbon    2.448982          86.4250   84.4826087     0.54025457  1.7069302\n",
       "sulfur   -2.659991           1.7700    4.3717391     0.66460515  2.1049810\n",
       "wax      -2.683047           1.0375    2.7660870     0.13179055  1.3865244\n",
       "asptenes -3.238592           6.0250   14.6739130     1.02560957  5.7473788\n",
       "              p.value\n",
       "nitrogen 0.0001522623\n",
       "resins   0.0005493766\n",
       "oxygen   0.0034463527\n",
       "carbon   0.0143260799\n",
       "sulfur   0.0078142814\n",
       "wax      0.0072954776\n",
       "asptenes 0.0012012125\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Variable describing clusters\n",
    "res.hcpc$desc.var"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94\nAAAgAElEQVR4nOzdeVxWZf7/8Q8g4C2IhCxqKu7ipEiKpmUBaiqmmaJlJoiiYFO5/SqbzN0R\nm3JMzUmtESNzwSUbM7eczBT56riLuylCieYGyCLb/fvj2JEQ4WbzhovX88HDx7mv+zrnfK7j\n4ebNdc59Y2E0GgUAAACVn6W5CwAAAEDZINgBAAAogmAHAACgCIIdAACAIgh2AAAAiiDYAQAA\nKIJgBwAAoAiCHQAAgCIIdgAAAIog2AEAACiCYAcAAKAIgh0AAIAiCHYAAACKINgBAAAogmAH\nAACgCIIdAACAIgh2AAAAiiDYAQAAKIJgBwAAoAiCHQAAgCIIdgAAAIog2AEAACiCYAcAAKAI\ngh0AAIAiCHYAAACKINgBAAAogmAHAACgCIIdAACAIgh2AAAAiiDYAQAAKIJgBwAAoAiCHQAA\ngCIIdgAAAIog2AEAACiCYAcAAKAIgh0AAIAiCHYAAACKINgBAAAogmAHAACgCIIdiu3LL7+0\n+MP//d//PdihVatW2rPPPvus1vL111/rq+Tk5DzaesvAkiVLtOJr1qxZZOdHMNhi1WOWDT56\nlf0cK0OP8n8zOzt7+vTpTZs2tbGxsbe3X7FiRXnvEUDhqpm7AABAZfWvf/1r2rRp2nJWVtbd\nu3fNWg4AZuwAPEI5OTn6vNqaNWvMXU7lVhEO5n/+8x9twcnJ6Y033vDw8CjzXVSEYQKVCDN2\neBQ6d+68fPlybdnSUvFfJ6rUYCsODrtZ/Pbbb9rC0KFD58+fb95iAAjBDo9GkyZNmjRpYu4q\nHpEqNdiKg8NuFkajUVtwcHAwbyUANPxei0ehkLu5d+7cGRwc/OSTT9aoUaNu3boDBgz44Ycf\n8naYPn26tm7z5s1FZP369U8++WTLli21Z7Ozs5cvX+7r69uoUaPq1as3bNjwmWeeWbhwYWpq\nqolbEJHz58+PHTvWx8endu3adevW9fPzmz9/fnZ29sOGs2zZMq3gxo0bDx06ND4+3sTBmrIj\nU0ZUXMUdoGbUqFHaQPz8/PK2//vf/9bara2t87YbjcaNGzf26tWradOmBoOhadOmPXr0+Prr\nr/W3MgwaNKhatfu/TA4ePDjf+29KczIUeNj//e9/d+7cuXPnzoMGDcrNzf3kk09at26t/ccN\nGjTo3LlzD4760qVLgwcPdnV1tbe379q16/79+2NjY7WNdOnSpfAjprlx48aMGTNeeOGFRo0a\n1apV66mnnho+fPiOHTvydStBbXkVeTB1hZ+umiKPfIEFWFhYnD59Wns4a9YsCwuL6dOnaw9N\nP40LPzmLHKaJR7vIF4F8PvnkE+1/JywsLCMj4+233/by8rKzs/P09Fy0aJHRaMzMzJwxY0aL\nFi0MBkOzZs1GjBhx5cqVvFsw5QiEh4dre3njjTdSU1PHjx9fv359g8Hg4eExZcqUO3fuFP5f\nABTMCBSTfsFLRGJiYh7soN9n06VLF61l8eLFWou9vX3enuPGjSvwtHzrrbf0Pvqt2c2aNfvy\nyy+15UaNGhmNxrt37z799NMFbsHT0zM1NbXILRiNxqioKFtb2we38Je//OX69esP1j9hwoR8\nPR977LErV67oBT9ssKbsyMQRPWwXBSruAPUVR44cqTX6+vrm3eAXX3yhtVerVk1vzM3N7d+/\nf4GVt2/f/s6dO0ajceDAgQ8+q59CpTwZChyC3r9p06ZDhw7Nt+Xq1aufOHEi79B++uknZ2fn\nfH0++uijB8f7MLt37863BV1gYGBWVlaJa8unkINZrNPVxCNvYgHTpk0zmnwaG004OQs/Z0pw\ntAt8EXiQfkyeeOKJB8cyfvz4rl275mt8/PHHb9++ra1u4hHQv8WeeeaZB39t8PDwSExMLOS/\nACgQwQ7FljfYFa7wYPftt9/qPbXfs9u3b6+3REVFad30V2Q3NzcnJydtWXtFnjRpkt6/ZcuW\nPj4+Li4uesuMGTOK3MKJEyf0nytWVlZeXl5eXl76Fvr27Zuvfo2FhUWdOnWsrKz0llGjRunj\nKnCwJu7IxBGZHuyKO8ASB7uFCxfqm23WrFn//v07duyot4SEhBiNxlOnTu3atUtvnDZt2p49\ne5KTk8vkZCg82On/cXXr1s07A+Tv7693TkpKypsS3NzctMuLev8ig93ly5cfe+wxfQuNGjXq\n2LFj9erV9Zb33nuvZLU9qJCDWazT1cQjX2ABe/bsadiwodYzKChoz549ly9fNpp8GptychYy\nzJId7QfPnALlC7s1atTQ18or34HVh2biEdC/xSwsLLR/GzVqlPccCAwMLOQcAApEsEOxlUmw\ny8zMbNq0qdb47rvv6hufOHGi1tikSZO7d+8a//zz7/HHH4+IiDh27NipU6eMRmPr1q219ryv\n4K+++qrW2Lt3b62lkC289tprWruLi4s+QaL/Qi8iZ8+eNf75J+UzzzwTHx9vNBovX77s7u6u\nNbZp00YvoMCEYeKOTByR6cGuuAMscbB74YUXtMbXXntNb/z000+1RmdnZ60l7/Xf1atXa41l\ncjIUGez69Olz7do1o9F4/fr1Dh06aI21atXSO+s/jK2trVetWmU0GnNycj7++GPth66YEOxG\njx6t9bS0tIyMjNQaExMTO3furLXb2trqs2XFqq1ABR5MY3FOV9OP/MPo0/MffPCB3mjiaWzi\nyfmwYZb4aOc7cwqUN9i9++672dnZRqNRv9AsIg0bNjx9+rR2YOvVq6c19u/fv1hHQP8WE5En\nn3xSi8W3b9/Wv5ssLS1jY2MLOf7Agwh2KLYyCXbHjh3TX7lu3rypb/z27dv6L6y7du0y/vkV\nee/evXrP3NzcJUuWLF68ePHixfrLd25u7oABA7TO3t7eWuPDtmA0GvX5hunTp+dt9/Lysre3\nt7e3j4iIMP75J6X2wybflqtXr643FpgwTNmR6SMyPdgVd4AlDnZt2rTRGps0abJ27dqUlBSj\n0ZiSkrLxD5mZmcaH/JAu/cnwsCHo/a2srG7duqW3f/XVV/p29OvResTR5hd1+vEvMti1aNFC\n6xkUFJS3/dSpU/obddevX1+C2gpkSrAr/HQ1/cg/zIPBzvTT2MST82HDLNnRfvDMKZAe7Jyc\nnLRUZzQaf/31V30jCxYs0DsPHz5ca9Re8Uw/Anln7I4cOaJv8Pr163Z2dtpTc+bMKbJaIC/e\nFYtSiYmJeeqpp/I1tmrVSr+l+mHOnDmjLeTm5hZ4jUNEzp075+Pjoz+sVatW3ttWLCwsQkND\nRSQhIWHHjh1HjhyJjY09fvy4/vkLD8q3hYyMDP1G8nw3uBw+fLjALRgMBu3ma83jjz+uLRT+\nRgTTd1TcERWuBAMsMW9v7+PHj4vIL7/8MmjQIGtr66effrpHjx7PP/+8t7e3PulVoNKfDEVq\n0KCBo6Oj/rBOnTr6svZ/l5mZeenSJa3lxRdfzLvuq6++umHDhiJ3kZmZ+csvvxS4BQ8Pj2bN\nmp09e1ZEHvzWKLK2EivydC3BkS+Sid+YpTw5S3y0i3vmuLu76xdb894OqP8akK9dSvTS1KBB\ng7Zt2+oPa9eu3blzZ+39K9pAANMR7GAely9fLrJPvle0B++S/uWXX0JDQ3fu3Jm30c7O7mFv\nIM23Be3Ch7ac92adQuS9n0b+uDOmSKbvqLgjKqv9lt7cuXPv3Lmzfv363NxcEcnKyvrpp59+\n+umnSZMmtWzZctGiRd26dSukziK3X+TJULi89y1JQf9xcXFx+rt39QCk0a9gFu7XX3/VA1O+\nLYhI/fr1tSHoccT02kqsyNO1BEfeFKacxqU8OUt8tIt75uQ7hkW2a4r7jVy3bt18Lfrl3YSE\nBFNrBUSEYAdzqV+/vrZQs2bNLVu2FNgn34tdvh9LWVlZL730kjZL5OzsPGjQIB8fn06dOv37\n3/+eOXNmgRvMt4W8UyPXr18v/iBMZeKOSjCiMtlvkfQfwJoCp5Eee+yxqKiohISEdevWfffd\nd7t3787KytKeOnPmzAsvvHD69OlGjRoVuP3Snwyll/fe9t9//z3vU/k+xuJh6tWrZ2VlpaXD\nB+dm9BZ9sBVBCY58kUw8jUt5cpb4aJf5mfOgEnwjJyYm5mvRzzr9gjVgIoIdzEO/PyYlJaVV\nq1YPuwxUiOPHj2svnSKyd+9efYMnT540cQsODg516tTRXlL37Nnz/PPP609NnjxZ+2Hzyiuv\n+Pr6Fre2ku3IwcGhlCMq2X4fNkB9TuLatWt52/Uidbdu3dKLHDt27Lhx41JSUrZv3x4REbF5\n82YRuXv37tatW/W73fMp/clQeo6OjrVr175x44aIbN++vVevXvpTmzZtMmULtra2jRs3Pn/+\nvIh89913+g1VInLmzBn9c+n02+orgvI48iZ+Y5by5KzIR7sEL02XL18+ceKEXu2NGzf27dun\nLbdq1ao8i4WC+IBimEerVq30aw3/+Mc/9PYLFy60adOmVatWrVq1OnjwYCFbyDutkpycrC38\n8MMPGzduNL0M/aN3Fy5cqN/Zs2zZslmzZmn3Phf3wk1pdlQmIyrBfh+2buPGjbWFU6dOrVu3\nTlvesGHD559/nq/nrVu3uvxBq7ZmzZoBAQGrV6/Wbz+yt7d/cC1tofQnQ5nQj9XixYu3bt2q\nLUdERERERBR3C5GRkatWrdKWr127NmLECG1uycbGplg3eJlOP5jFUh5H3vTTuAQnZ95hmvFo\nF64E38hGo3HEiBFazE1JSQkODtY+nbhatWr6O2QBEzFjB/OwtbX98MMPAwMDReTDDz/cu3fv\nX/7yl0uXLkVHR2uvaF26dMn7eVoPyvu7+NNPP/3kk09mZmYePXpUv26Y7wJigcLDwzdu3Jie\nnn7r1q2nnnrqySefzM3N/d///qc927Nnz7L6jd+UHeW906jEIyrBfh+2rv6xESIyaNCgOnXq\nZGRk3L59+8GeTZo0adWq1alTp0Tk5Zdfbt26dfPmzW/cuHHixIm7d++KiJWVlXaDvJWVlX6n\n0dKlS3NycgYOHOjm5lbKk6FMzJw585tvvsnJyUlPT/f392/YsGFqaqo2h2ei999/PyoqKikp\nKScnZ8iQIVOnTnV1dT1y5Ih+Z9WECRP0IFV6DzuYpm+h9N+GDzL9G9PEk/Nhw3zER9t0JXtp\nOnDgQP369Zs0aRIXF5eZmak1jho1qpA/jwEUzBxvxUXlVlZ/eSI3N1f7ifKgzp076x/0kPcj\n4/PtSP+UAV2TJk2GDRumLT/22GNpaWmFb8FoNEZEROS7e13j5eWlfwDEwz5epMAP/nhYZ1N2\nZOKIivWXJ0ozwEGDBuVby9bWVv84rryjPnv2rKur64N70Xz22Wd6z549e+Z9SjuFSn8yFP5x\nJ/n65/17WXk/3P/TTz/Nd6wsLS31v6hhyl+e+PHHHx92QXP48OH6B2eUoLYCFXgwi3W6mnjk\nH6bAz7Ez8TQ2mnZyPmyYZXK0H0b/uBP9o0mMRmPeewG3bt2qt+v3GOiveCYeAf3jTp588kl9\nglzXs2fPvJ+DA5iIGTuYjYWFRWRk5EsvvRQVFXX8+PFffvnFzc2tZcuWw4cPDwgIyPd3SAv0\n2WeftWzZ8ssvv7x8+XLLli19fX2nTp167ty52NhYrcOqVatGjBhR+EaCg4Pbt2//r3/969ix\nYydPntT+UOPgwYNDQkIKf+NbcZmyozIZURkOcNWqVR07dly1atWZM2dsbW2fffbZ6dOnX7p0\nSbuHKe/qzZs3P3/+/PLly9etW5eQkHDlyhWDwVC/fn1vb+8xY8bk/SiHzz//fPz48bt37751\n65adnZ32c730J0OZeOONN7y8vD755JMDBw6kpqa2a9duwoQJjo6O33zzjYlb8PX1PXXq1KJF\ni/bv33/y5Mlbt255eHg88cQTQ4cOLeR9wSVW4MEslvI48qafxiaenA8b5iM+2qYr7jdyrVq1\nNm3a9O67727bti0zM7NDhw4vvPDCuHHj9A/kA0xnYSz+xR0AqDq2bdumvZci332QQCmNGjVK\nm0b19fX98ccfzV0OFMGMHQCIiLzzzjvaZ4a1a9funXfe0dv1Tyf29vY2T2UAYDKCHQCIiKSl\npa1evVpEoqKirl275u/vb2VltWrVqqVLl2od9HukAKDCItgBgIjInDlzDh06FBMTk5ub+/HH\nH3/88cf6UxYWFu+9997gwYPNWB4AmIJgBwAiIjVr1vz55583bNiwfPny8+fPJyQk2Nvbu7u7\nt23bdsKECX/5y1/MXSAAFI03TwAAACiCt1IDAAAogmAHAACgCIIdAACAIgh2AAAAiiDYAQAA\nKIJgBwAAoAiCHQAAgCIIdgAAAIog2AEAACiCYAcAAKAIgh0AAIAiCHYAAACKINgBAAAogmAH\nAACgCIIdAACAIgh2AAAAiiDYAQAAKIJgBwAAoAiCHQAAgCIIdgAAAIog2AEAACiCYAcAAKAI\ngh0AAIAiCHYAAACKINgBAAAogmAHAACgCIIdAACAIgh2AAAAiiDYAQAAKIJgBwAAoAiCHQAA\ngCIIdgAAAIog2AEAACiCYAcAAKCIauYuoHytWLHi559/NncVSunZs+eAAQPMXQUAACiA4sHu\n559/XrhwoY2NjbkLUUTv3r33799PsAMAoGLiUiwAAIAiCHYAAACKINgBAAAogmAHAACgCIId\nAACAIgh2AAAAiiDYAQAAKIJgBwAAoAiCHQAAgCIIdgAAAIog2AEAACiCYAcAAKAIgh0AAIAi\nCHblwsXFZcmSJeauAgAAVC0Eu4ooMDCwf//+ZbKp8ePHv/POO2WyKQAAUMER7FRw5syZzMzM\nfI1Go3Hr1q2ff/65WUoCAACPHsGuVHJycqZMmeLh4eHg4ODr67t///4H+xgMhq+//lp/OHz4\n8L59+2rLx44d8/f3d3JycnZ2DggISEhIEJHOnTuvWLFi48aNFhYWSUlJIrJ8+XJvb297e/s2\nbdosX75c31SDBg1WrVrVvXt3Dw+PK1eu5N3pxo0ba9Wq5e/vn5qaWg7jBgAAFRHBrlRCQ0MX\nLlw4ZsyY1atXV69evVevXomJiSaum56e3rNnz4yMjEWLFv3973+Pjo4eOXKkiGzevDkgIEDb\nlIODw4IFC0JDQ/39/aOionx9fUeMGLF48WJ9IzNmzLCxsfnyyy/d3NzybtzX13ffvn0nTpxo\n0KBBGY4XAABUZNXMXUAldvbs2eXLl0dFRQUEBIiIj4+Pm5vb5s2bQ0JCTFn95MmTiYmJGzZs\n6Ny5s4jUrl179+7dIuLk5GQwGHJyctzc3FJTU6dPnz558uTJkyeLSO/evTMzM2fPnj169Ght\nI3Z2dt9///2DG3d0dHR0dBQRW1vbMhouAACo6JixK7mYmBhLS8t+/fppD+3s7OLi4l555RUT\nV2/YsKHBYBgzZsy6deuSkpIGDhy4YMGCfH1iY2Nv3rzZvXv3G3/o2rVrQkLC3bt3tQ69evUq\nq+EAAIDKjmBXcvHx8c7OztWq3Z/1rF27tr29feFrGY1GbcHFxWXLli02NjYvv/yyk5OTj4/P\ntm3b8nW+dOmSiDz99NPOfxg8eLDRaIyPj9f3WFbDAQAAlR3BruTq1Klz8+ZNPaiJSHx8fJH3\n2F27dk1f9vHx2bt3b2Ji4ooVK3Jycvr06XPhwoW8nV1cXEQkISHB+GfNmjXTOlha8j8IAADu\nIRaUXPv27TMzM/Vb3LKysjp27BgZGZmvm6Wl5Y0bN7Tl5OTkffv2acvr16/39PRMSUlxdXV9\n9dVXIyMjs7Ozz5w5k3fd1q1b29jYbN68WW+ZP3++6Vd7AQBAlcKbJ0rOy8trwIABwcHB4eHh\njRs3Xrp0aVpa2oOpq23btnPnzm3RooXBYJg5c6arq6vW/sQTT5w6dSowMDAwMDAnJ+err75y\ndHTs2LGjiFhbW587d+7gwYNeXl7jxo17++23U1JSPD09o6OjZ82aFR4e/qiHCgAAKgOCXams\nXLny/fffDw8P//3339u1a7d9+3Z3d/d8fZYtWzZ69OiBAwc2adLkzTfftLa2Pn36tIh4eHis\nWbNm5syZQUFBBoPB29t7x44dzs7OIhIUFLRr1y4/P7+EhIQ5c+a4urpGRERcvHjR3d19wYIF\nr7/+uhmGCgAAKjyLvLeIqScsLGzhwoU2NjbmLkQRvXv39vT0nDNnjrkLAQAABeAeOwAAAEUQ\n7AAAABRBsAMAAFAEwQ4AAEARBDsAAABFEOwAAAAUQbADAABQBMGufLi4yJIl5i4CAABULQS7\nCikwUPr3L9UWMjNl9mxp1Urs7OSJJ+SjjyQrq4yKAwAAFRTBTglnzkhm5p9apk6VmTMlKEg2\nbJCXX5bJk+Xtt81UHAAAeEQIdqWTkyNTpoiHhzg4iK+v7N9fQB+DQb7++v7D4cOlb997y8eO\nib+/ODmJs7MEBEhCgohI586yYoVs3CgWFpKUJCKyfLl4e4u9vbRpI8uX399UgwayapV07y4e\nHnLlyv323FyZP18mTJC//U169pSpU2XSJPnsM8nIKOPhAwCAioRgVzqhobJwoYwZI6tXS/Xq\n0quXJCaaum56uvTsKRkZsmiR/P3vEh0tI0eKiGzeLAEB9zbl4CALFkhoqPj7S1SU+PrKiBGy\nePH9jcyYITY28uWX4uZ2v/G338TdXXr3vt/SuLFkZcm1a6UfMQAAqLCqmbuAyuzsWVm+XKKi\nJCBARMTHR9zcZPNmCQkxafWTJyUxUTZskM6dRURq15bdu0VEnJzEYJCcHHFzk9RUmT5dJk+W\nyZNFRHr3vnfz3OjR9zZiZyfff59/y/Xry6lT9x+mp8vnn0uzZlK/fmmGCwAAKjhm7EohJkYs\nLaVfv3sP7ewkLk5eecXU1Rs2FINBxoyRdeskKUkGDpQFC/L3iY2Vmzele3e5cePeV9eukpAg\nd+/e69CrVxF7OXxYnntODh+WyEix5L8bAACV8ZO+FOLjxdlZquWZ9axdW+zti1jLaLy34OIi\nW7aIjY28/LI4OYmPj2zblr/zpUsiIk8/Lc7O974GDxajUeLj7+/xYW7elBEjxNtbGjSQ48fv\nzQsCAAB1EexKoU4duXnzflATkfj4ou+xy3ujm4+P7N0riYmyYoXk5EifPnLhwp86u7iIiCQk\niNH4p69mze51eNgk3Llz0qaNHDggMTGyYYO4uxdzbAAAoPIh2JVC+/aSmXn/FresLOnYUSIj\n83eztJQbN+4tJyfLvn33ltevF09PSUkRV1d59VWJjJTsbDlz5k/rtm4tNjayefP9lvnzi77a\nazRK//7i6SkHDkiHDiUaGwAAqHx480QpeHnJgAESHCzh4dK4sSxdKmlpBaSutm1l7lxp0UIM\nBpk5U1xd77U/8YScOiWBgRIYKDk58tVX4ugoHTuKiFhby7lzcvCgeHnJuHHy9tuSkiKenhId\nLbNmSXh4EYVFR0tsrPTo8aePWRGRIUPEYCiToQMAgAqIYFc6K1fK++9LeLj8/ru0ayfbtxdw\n0XPZMhk9WgYOlCZN5M03xdpaTp8WEfHwkDVr7n2MsMEg3t6yY4c4O4uIBAXJrl3i5ycJCTJn\njri6SkSEXLwo7u6yYIG8/noRVcXGiojMm5e/vU8fgh0AAAqzMOa9RUw5YWFhCxcutLGxMXch\niujdu7enp+ecOXPMXQgAACgA99gBAAAogmAHAACgCIIdAACAIgh2AAAAiiDYAQAAKIJgBwAA\noAiCHQAAgCIIdgAAAIog2JULl2MuS64vMXcVAACgaiHYVUSBlwL7/9K/NFtIzkl+K/6txica\n2x+xb3e63epbq8uqNgAAUGHxt2JVcCbjTGPbxjYW9/9y2sjLI3ff2T2z7syGNg3X3V736sVX\nHSwdetfqbcYiAQBAeWPGrlRyjDlTrkzxOOnhcNTB96zv/tT9D/YxHDF8ffNr/eHwuOF9L/TV\nlo+lH/M/7+901Mn5mHPALwEJWQki0vlM5xU3V2y8vdHikEVSTpKILL+x3Pu0t/0R+zan2iy/\nsVzfVIPjDVbdWtX9XHePkx5Xsq7o7Tezb669tfbDeh+Och7V06Hn5w0/b21overWqvI5BgAA\noKIg2JVK6OXQhdcWjnEZs7rR6uqW1Xud75WYlWjiuum56T3P98wwZixquOjv9f4enRo9Mm6k\niGxuujnAMaCXQ6/ENokOVg4Lri0IvRzq7+Af1TjK1953RNyIxdcX6xuZcWWGjYXNl42+dKvm\npjcm5yYH1w72remrtzhXc7bk/xoAANVxKbbkzt49u/zG8qgmUQGOASLiU9PH7Zjb5uTNIbVD\nTFn9ZMbJxKzEDU02dLbrLCK1q9XenbJbRJyqORksDTmS42btlpqbOj1x+uQ6kyfXnSwivWv1\nzjRmzk6cPdp5tLYRO0u775t9n2/LjWwaRbhHiMi17GvnMs79N+W/B9MOTm0yteyGDgAAKiKC\nXcnFpMZYWlj2q9VPe2hnaRfXOs7W0tbE1RvaNDRYGsbEj5lYZ+LzNZ8f6DhwoOPAfH1i02Nv\nZt/s7tD9RvYNraVrza6fX//8rvGurYWtiPRy6FXILiJuREy/Mt3e0r5/rf4d7ToWb3gAAKCy\n4fJcycVnxjtXc65mcT8c165W297SvvC1jGLUFlyquWxptsXGwublX152Ourkc9ZnW/K2fJ0v\nZV4SkafPPO18zFn7GnxxsFGM8Znx+h4L2ddEt4lpXmlXPa9mGbOGXBxSzPEBAIBKhmBXcnWs\n69zMvqkHNRGJz4wv8h67a1nX9GUfe5+9LfcmeiauaLwiR3L6XOhz4e6FvJ1dqrmISEKbBGM7\nY96vZrbNtA4F3jm3JXlL0KUg/aGFWHRz6PZt0re5klv8UQIAgEqDYFdy7Wu0zzRmfp907xa3\nLGNWxzMdI29G5utmKZb6hdTknOR9qfu05fW313ue8kzJSXGt5vrqY69GukdmG7PPZJzJu25r\nQ2sbC5vNSZv1lvnX5r9y8ZXCC7O2sP7q5leH0w7rLf9L/V8963q8fwIAALVxj/xq7K4AACAA\nSURBVF3JeRm8BjgOCI4LDq8X3ti28dLrS9Ny0155LH/qamtoO/fa3BbVWxgsDTOvzHSt5qq1\nP1H9iVMZpwIvBQbWDswx5nx18ytHK0ftTjhrC+tzGecOph30MniNcx339q9vp+SkeBo8o1Oj\nZyXOCq8XXnhhPvY+bQ1tX7748pS6U9yque1M2fn5jc/n159fHgcBAABUHAS7UlnZeOX7v74f\nfjX89+zf2xnabW+23d3GPV+fZe7LRl8ePfCXgU1sm7zp8qa1hfXpjNMi4lHdY03jNTOvzAy6\nFGSwNHjX8N7RfIdzNWcRCXIK2pWyy++cX0LrhDmPz3Gt5hpxI+Ji5kV3G/cF9Re87vJ64VVZ\nW1h/1+y7ib9OfO/X95JyklpWbxnhHhHoFFhOBwEAAFQQFkajsehelVZYWNjChQttbGyK7goT\n9O7d29PTc86cOeYuBAAAFICbrgAAABRBsAMAAFAEwQ4AAEARBDsAAABFEOwAAAAUQbADAABQ\nBMEOAABAEQQ7AAAARRDsyoWLiyxZYu4iAABAFUOwq4gCA6V//7LZVHa2dOkigfw5MQAAqgCC\nnQrOnJHMzIKf+tvfZO/eR1sNAAAwE4JdqeTkyJQp4uEhDg7i6yv79xfQx2CQr7++/3D4cOnb\n997ysWPi7y9OTuLsLAEBkpAgItK5s6xYIRs3ioWFJCWJiCxfLt7eYm8vbdrI8uX3N9Wggaxa\nJd27i4eHXLlSwK7/8x/597/F3b1sBgsAACo4gl2phIbKwoUyZoysXi3Vq0uvXpKYaOq66enS\ns6dkZMiiRfL3v0t0tIwcKSKyebMEBNzblIODLFggoaHi7y9RUeLrKyNGyOLF9zcyY4bY2MiX\nX4qbW/7tX7okwcGybJnUrVsWQwUAABVeNXMXUImdPSvLl0tUlAQEiIj4+Iibm2zeLCEhJq1+\n8qQkJsqGDdK5s4hI7dqye7eIiJOTGAySkyNubpKaKtOny+TJMnmyiEjv3pKZKbNny+jR9zZi\nZyfff1/AxjMzZdAgCQ6Wl16SDz8s9VABAEBlwIxdycXEiKWl9Ot376GdncTFySuvmLp6w4Zi\nMMiYMbJunSQlycCBsmBB/j6xsXLzpnTvLjdu3Pvq2lUSEuTu3XsdevUqeOMTJoiVFZEOAICq\nhWBXcvHx4uws1fJMetauLfb2RaxlNN5bcHGRLVvExkZeflmcnMTHR7Zty9/50iURkaefFmfn\ne1+DB4vRKPHx9/f4oA0bZNUqiYoSa+tiDwoAAFReBLuSq1NHbt68H9REJD6+6Hvsrl27v+zj\nI3v3SmKirFghOTnSp49cuPCnzi4uIiIJCWI0/umrWbN7HSwL+g/8+We5eVPc3cXCQiwsJCZG\nVqwQCwv59tviDxIAAFQeBLuSa99eMjPv3+KWlSUdO0pkZP5ulpZy48a95eRk2bfv3vL69eLp\nKSkp4uoqr74qkZGSnS1nzvxp3datxcZGNm++3zJ/ftFXe19/XX744f5Xq1bSrZv88IM8/XSJ\nxgkAACoJ3jxRcl5eMmCABAdLeLg0bixLl0paWgGpq21bmTtXWrQQg0FmzhRX13vtTzwhp05J\nYKAEBkpOjnz1lTg6SseOIiLW1nLunBw8KF5eMm6cvP22pKSIp6dER8usWRIeXkRhLVpIixb3\nH9aqJXXrSrduZTVuAABQQRHsSmXlSnn/fQkPl99/l3btZPv2Aj40btkyGT1aBg6UJk3kzTfF\n2lpOnxYR8fCQNWtk5kwJChKDQby9ZccOcXYWEQkKkl27xM9PEhJkzhxxdZWICLl4UdzdZcEC\nef31Rz1MAABQKVgY894jppywsLCFCxfa2NiYuxBF9O7d29PTc86cOeYuBAAAFIB77AAAABRB\nsAMAAFAEwQ4AAEARBDsAAABFEOwAAAAUQbADAABQBMEOAABAEQS7cuEissTcNQAAgKqGYFcR\nBYr0L90WNohY/PlrVNmUBgAAKi7+pJgKzog0Fsn75zXOi7iJTM/T4vGoiwIAAI8aM3alkiMy\nRcRDxEHEV2R/QX0MIl/neThcpO8fy8dE/EWcRJxFAkQSRESks8gKkY0iFiJJIiKyXMRbxF6k\njcjyPJtqILJKpLuIh8iVP+/0vEhbkbA8Xz5lMFwAAFChEexKJVRkocgYkdUi1UV6iSSavG66\nSE+RDJFFIn8XiRYZKSIim0UC/tiUg8gCkVARf5EoEV+RESKL82xkhoiNyJcibn/e+HmRFiK3\nRA6L3C79OAEAQGXApdiSOyuyXCRKJEBERHxE3EQ2i4SYtvpJkUSRDSKdRUSktshuERFxEjGI\n5Ii4iaSKTBeZLDJZRER6i2SKzBYZ/cdG7ES+L2jj50WuiCwVyRQRkQEiS0ScSzZOAABQSTBj\nV3IxIpYi/f54aCcSJ/KKyas3FDGIjBFZJ5IkMlBkwQN9YkVuinQXufHHV1eRBJG7f3ToVdCW\n74pcF3EXOSqSLPKtyE9/TAcCAACFEexKLl7E+c9znrVF7Itay/jHgovIFhEbkZdFnER8RLY9\n0PmSiIg8LeL8x9dgEaNIfJ49PshWJE1kq4iHSE2RF0Umi3z7xx17AABAVQS7kqsjcjNPUBOR\neBPusbuWZ9lHZK9IosgKkRyRPiIX/tzZRUREEkSMf/5q9kcHE///WoqIyO+mdQYAAJUUwa7k\n2otk5rnFLUuko0jkA90sRW78sZwssu+P5fUiniIpIq4ir4pEimSLnPnzuq1FbEQ252mZb8LV\n3p0iBpGdeVqiRWqJNDFpWAAAoLLizRMl5yUyQCRYJFykschSkbSCUldbkbkiLUQMIjNFXP9o\nf0LklEigSKBIjshXIo4iHUVExFrknMhBES+RcSJvi6SIeIpEi8wSCS+qMD+RJ0SCRcaItBHZ\nI/KRyCekeAAAVEewK5WVIu+LhIv8LtJOZLuI+wN9lomMFhko0kTkTRFrkdMiIuIhskZkpkiQ\niEHEW2THH29cDRLZJeInkiAyR8RVJELkooi7yAKR14uqylJks8jfROaJpIj8RWSFyKCyHTkA\nAKh4CHalYisyV2TuA+1572bzENn1kNUHiAwoqN1X5Jc8D/+fyP8rqFt8QY0aN5FlD38WAAAo\niatzAAAAiiDYAQAAKIJgBwAAoAiCHQAAgCIIdgAAAIog2AEAACiCYAcAAKAIgh0AAIAiCHYA\nAACKINgBAAAogmAHAACgCIIdAACAIqqZu4Byd+vWLRsbG3NXoYisrCxzlwAAAB5K/WBXp04d\nc5eglGeeecbcJUARe/bsmT17tr29fc2aNQ0Gg729vYODQ40aNWrUqOHo6GgwGAwGw2OPPWYw\nGGrUqFGrVi07Ozt+SQOAwlkYjUZz11CO4uLirl+/bu4q1GFhYdGqVSuDwWDuQqCCjz/+eO7c\nuS+99FJaWlp6evqtW7fS09PT09Nv376dlpaWlpaWnJycbxUrKysHBwd7e3uDwVCzZk0HBweD\nwWBnZ1erVi0t/zk6OtaoUcNgMOgLWiKsUaNGzZo1a9asWa2a+r/NAqjKFH+Nc3d3d3d3N3cV\nAApWv379zz77rPA+Wua7detWRkaGtlzgwu3bty9evKi3aI0pKSnZ2dn5Nli9enVtItD0BX25\ndu3atra25XY8AKC0FA92ACo77ZpsvXr1SrZ6enp64Ykw78Jvv/2WrzE5OTknJyffNk0Pgg8u\nODs7c0EZQPkh2AFQmX6vXjlFw3zLD3ZLSkrKzc3Nt80SJEJ9wcXFxdrautQHBoCaCHYAUJhy\nioYFxsQrV64UeJX5wZuhTQ+CDy64urpyryGgKr63AaB8lTIa5uTkJCcnp6SkpKen37lzJzk5\nOT09PTU1NSkp6cH3nVy4cEF738mdO3fS09NTUlIKvNGwwPedPP/886GhoWUxYgBmQ7ADgArN\nyspKm5wr8RaysrLu3LmTlJSUnp6elpZ2+/ZtLQjeunVLi4ZJSUk///zzihUrCHZAZUewAwDF\nWVtbFxkNZ86cuWPHjkdWEoBywp8UAwAAUATBDgAAQBEEOwAAAEUQ7AAAABRBsAMAAFAEwQ4A\nAEARBDsAAABFEOwAAAAUQbADAABQBMEOAABAEQQ7AAAARRDsAAAAFEGwAwAAUATBDgAAQBEE\nOwAAAEUQ7AAAABRBsAMAAFAEwQ4AAEARBDsAAABFEOwAAAAUQbADAABQBMEOAABAEQQ7AAAA\nRRDsAAAAFEGwAwAAUATBDgAAQBEEOwAAAEUQ7AAAABRBsAMAAFAEwQ4AAEARBDsAAABFEOwA\nAAAUQbADAABQBMEOAABAEQQ7AAAARRDsAAAAFEGwAwAAUATBDgAAQBEEOwAAAEUQ7AAAABRB\nsAMAAFAEwQ4AAEARBDsAAABFEOwAAAAUUVWCXVJS0vnz53Nzc81dCAAAQHlRM9iNGjXqp59+\n0pavX7/er18/R0fH5s2bOzk5ffbZZ+atDQAAoJyoGey++OKL06dPa8uhoaF79+795JNPtm7d\nOmbMmHHjxq1bt8685QEAAJSHauYuoHzdunXrm2++2bRpU58+fUSkZ8+eOTk5H3/88cCBA81d\nGgAAQBlTc8ZOd/HiRRHx8/PTW7p06RIbG2u+igAAAMqL4sGuUaNG1tbWCQkJesvx48dr1apl\nxpIAAADKibLBburUqT179pw6dWqTJk3GjRunNe7cuXPhwoW9evUyb20A8DA5OTm7d+82dxUA\nKis1g9369esnTJjg7u4eGxublpamv0O2T58+derUmT17tnnLA4ACXbhwwcfHx8fH59dffzV3\nLQAqJTXfPDFgwIC8D+/evastfPfdd35+fpaWasZZAJWX0WhcsmTJ22+/3bJlSxHJyckxd0UA\nKqUqEXFsbW21hW7dumVlZaWmppq3HgDIKzEx8cUXX5wwYcLkyZPXrFlj7nIAVGJqztgVIjg4\nePXq1Uaj0ZTOGRkZv/32m7acnp4uIgaDQXtYr1696tWrl1ORAKqOtWvXvv76682aNTt8+HDL\nli1/+eUXc1cEoBKrcsHOz8/P3t7exM5z58794IMPCnxq1qxZkyZNKru6AFQ5t2/ffuutt9as\nWfP+++9PnjzZysrK3BUBqPSqXLALDQ0NDQ01sfN7773317/+VVt+8803ReTTTz/VHjo4OJRH\neQCqiK1bt4aEhDz22GMxMTHt2rUzdzkAFFEl7rHT5ObmFncVKyurx/5gY2NjY2OjP+R3awAl\nk5ycHBYW9sILLwwcOPDgwYOkOgBlSNlgt3nz5sDAwGHDhu3atSstLe2ll16ysrJ6/PHHFy1a\nZO7SAFRd0dHR7du337Fjx48//jh//nz9rV0AUCbUDHYrV67s06fPkSNH4uLi+vXrN3r06Bo1\nanzxxRd9+/YdO3bsypUrzV0ggConIyPjvffee+6557p27Xrs2LHnnnvO3BUBUJCa99h99NFH\noaGhS5YsEZHp06cvWrTo6tWrFhYWISEhNWvWnDdv3pAhQ8xdI4Aq5NixY4GBgdeuXdu4cWOf\nPn3MXQ4AZak5Y3f27NmAgABt2c/PLzU11cLCQnvYrVu306dPm680AFVLdnb2hx9+2KFDh5Yt\nW8bGxpLqAJQrNWfsnJ2d4+PjtWUPD48pU6boTyUmJjo6OpqpLgBVy8mTJ4cNGxYXF7dq1ap8\nfxEHAMqDmjN2ffv2nTRpUmRkZFxcnKur68SJE7X2Q4cOzZo1y9fX16zVAVCf0WhcunRphw4d\nXFxcjhw5QqoD8GioGexmz5793HPPDRs2bNq0aXpjUFBQ+/bt7e3tw8PDzVcaAPXFxcV17dr1\nnXfemTdv3vfff1+vXj1zVwSgqlDzUqyDg0NUVNTNmzeTk5P1xiFDhgwbNszHx6daNTVHDaAi\niIyMfPPNNz09PQ8dOtS0aVNzlwOgalE54jg5OTk5OekPe/XqZcZiACjv6tWroaGh27dvnzZt\n2jvvvGNpqeYlEQAVmcrBDgAembVr1/71r39t0qTJ4cOHPTw8zF0OgCqKXygBoFRu374dFhY2\nZMiQkJCQPXv2kOoAmBEzdgBQctu3bw8JCXFwcIiJiWnfvr25ywFQ1TFjBwAlkZaWNnbsWH9/\n/969ex84cIBUB6AiYMYOAIpt3759w4YNy8rK2rlzJx+NCaDiYMYOAIohIyPjvffee/bZZzt1\n6nTs2DFSHYAKhRk7ADDV8ePHg4KCrly58s033/Tt29fc5QBAfszYAUDRsrOzP/zwQ29v7+bN\nm8fGxpLqAFRMzNgBQBEuXLgQHBx84sSJL774IjAw0NzlAMBDMWMHAA9lNBqXLl3atm1bOzu7\nEydOkOoAVHDM2AFAwS5fvjx8+PCYmJjZs2ePGTPGwsLC3BUBQBGYsQOAAqxdu9bLyysjI+Po\n0aNjx44l1QGoFAh2APAn165d69+/f1BQ0MSJE3fv3t2sWTNzVwQApuJSLADct379+tdff71u\n3boxMTFt27Y1dzkAUDzM2AGAiEhSUlJYWNjgwYNHjBhx4MABUh2AyogZOwCQHTt2hISE2Nvb\nR0dHd+jQwdzlAEAJMWMHoEpLT09/7733/P39/f39Dxw4QKoDUKkxYweg6oqJiRk2bNjdu3d3\n7Njh5+dn7nIAoLSYsQNQFWVlZU2bNq1Lly5t27Y9fPgwqQ6AGpixA1DlnDhxIigo6Ndff12/\nfn2/fv3MXQ4AlBlm7ABUIbm5ufPnz/f29m7atGlsbCypDoBimLEDUFVcvHgxODj46NGjCxYs\nCA0NNXc5AFD2mLEDoD6j0bh06VJPT09bW9sTJ06Q6gCoihk7AIpLTEwcOXLkf//73/Dw8DFj\nxvBXXwEojBk7ACpbu3btE088cePGjSNHjowdO5ZUB0BtBDsAavr9998DAgJee+21t956a8+e\nPS1atDB3RQBQ7rgUC0BBW7ZsGTlypJOT0/79+728vMxdDgA8IszYAVBKcnJyWFjYiy++GBgY\nePDgQVIdgCqFGTsA6tizZ09wcLDRaPzvf//77LPPmrscAHjUmLEDoIL09PT33nvP19e3W7du\nx44dI9UBqJqYsQNQ6e3fv3/YsGFpaWnbtm3r1q2bucsBALNhxg5AJZadnf3hhx926dKlTZs2\nhw8fJtUBqOKYsQNQWcXGxg4bNiw+Pn7NmjX9+/c3dzkAYH7M2AGofIxG4/z589u3b+/m5nbk\nyBFSHQBomLEDUMlcunQpODj48OHDCxYs4K++AkBezNgBqEwiIyPbtGljbW194sQJUh0A5KN+\nsMvJyfn999+zs7PNXQiAUklMTHzxxRdHjx79wQcfbNu2rUGDBuauCAAqHGWD3dGjR0eNGlW3\nbl0bGxtXV1dbW9u6deuGhIQcO3bM3KUBKLa1a9e2bt362rVrhw8fnjhxoqWlsq9dAFAaat5j\nt2fPnh49eri7uwcHBzdq1KhWrVpJSUkJCQmbNm3q1KnTzp07O3fubO4aAZjk9u3bb7311po1\nayZMmDBz5kxra2tzVwQAFZeawe7999/39/ePioqysrLK2z5jxoywsLC//e1vu3btMlNpAIph\n27ZtISEhjo6OMTEx7dq1M3c5AFDRqXk54+jRo0OHDs2X6kTEwsIiODj4yJEjZqkKgOlSUlLC\nwsJ69+4dEBBw8OBBUh0AmELNYNe0adN9+/YV+FR0dHSzZs0ecT0AiiU6Orpdu3Y7duz48ccf\n58+fb2tra+6KAKByUPNS7FtvvTVixIhff/01ICCgUaNGDg4OKSkp8fHxmzZtWrZsWUREhLkL\nBFCwjIyMadOmffzxxyEhIXPnzrW3tzd3RQBQmagZ7IYPH25tbf2Pf/xj5cqVedvbtGkTGRn5\n2muvmaswAIU4duxYUFDQ1atXN27c2KdPH3OXAwCVj5rBTkSGDh06dOjQ+Pj433777ebNm05O\nTvXq1eODr4CKKTs7e+7cuVOmTOnXr99///tfJycnc1cEAJWSssFO06BBg3xh7u7du9nZ2XZ2\nduYqCUA+p06dCgoKOn/+/LJly5hQB4DSUDzYPSg4OHj16tVGo9GUzps2bfrqq6+05QMHDojI\nyy+/rD0MDAzs27dvORUJVB1Lly4dP378c8899+2339arV8/c5QBA5Vblgp2fn5/pt2O7uLg0\nadJEWz59+rSI6A9dXFzKozyg6rh169aZM2feeeedefPm8VdfAaBMVLlgFxoaavqPkE6dOnXq\n1Elbvnr1qojMmTOnvCoDqpLIyMh58+Y5Ojr+/PPPTZs2NXc5AKAINT/HrkC5ubnmLgGAXL16\n9aWXXgoLC5s6dWpCQgKpDgDKkLLBbvPmzYGBgcOGDdu1a1daWtpLL71kZWX1+OOPL1q0yNyl\nAVXXunXrWrdu/dtvvx0+fHjixImWlsq+BAGAWaj5qrpy5co+ffocOXIkLi6uX79+o0ePrlGj\nxhdffNG3b9+xY8fm+3A7AI9AUlJSWFjYq6++GhISsnfvXg8PD3NXBAAKUvMeu48++ig0NHTJ\nkiUiMn369EWLFl29etXCwiIkJKRmzZrz5s0bMmSIuWsEqpDt27eHhIQ4ODjExMS0b9/e3OUA\ngLLUnLE7e/ZsQECAtuzn55eammphYaE97Natm/b+VgCPQHp6+tixY/39/Xv37n3gwAFSHQCU\nKzVn7JydnePj47VlDw+PKVOm6E8lJiY6OjqaqS6gatm3b9+wYcOysrJ27tzp6+tr7nIAQH1q\nztj17dt30qRJkZGRcXFxrq6uEydO1NoPHTo0a9YsfsAA5S0rK2vatGnPPvtsp06djh07xjcd\nADwaaga72bNnP/fcc8OGDZs2bZreGBQU1L59e3t7+/DwcPOVBqjv+PHjHTt2XLx48YYNGyIj\nI2vWrGnuigCgqlDzUqyDg0NUVNTNmzeTk5P1xiFDhgwbNszHx6daNTVHDZhddnb23Llzp0yZ\n0q9fvx9++KF27drmrggAqhaVI46Tk5OTk5P+sFevXmYsBlDeL7/8MmzYsBMnTnzxxReBgYHm\nLgcAqiI1L8UCeJSMRuPSpUs9PT3t7OxOnDhBqgMAc1F5xg7AI3D58uXhw4fHxMTMnj17zJgx\n+kcLAQAePWbsAJTc2rVrvby80tPTjxw5MnbsWFIdAJgXwQ5ASVy7dm3AgAFBQUETJ078+eef\nmzdvbu6KAABcigVQfN9///3IkSOdnZ1jYmLatm1r7nIAAPcwYwegGJKSksLCwvr16xcUFPS/\n//2PVAcAFQozdgBMtWPHjhEjRtjb20dHR3fo0MHc5QAA8mPGDoBJrl271qtXr379+h06dIhU\nBwAVE8EOgEkyMjJyc3MnTJhgMBjMXQsAoGAEOwAAAEUQ7AAAABRBsAMAAFAEwQ4AAEARBDsA\nAABFEOwAAAAUQbADAABQBMEOAABAEQQ7AAAARRDsAAAAFEGwAwAAUATBDgAAQBEEOwAAAEUQ\n7AAAABRBsAMAAFAEwQ4AAEARBDsAAABFEOwAAAAUQbADAABQBMEOAABAEQQ7AAAARRDsAAAA\nFEGwAwAAUATBDgAAQBEEOwAAAEUQ7AAAABRRVYJdUlLS+fPnc3NzzV0IAABAeVEz2I0aNeqn\nn37Slq9fv96vXz9HR8fmzZs7OTl99tln5q0NAACgnKgZ7L744ovTp09ry6GhoXv37v3kk0+2\nbt06ZsyYcePGrVu3zrzlAQAAlIdq5i6gfN26deubb77ZtGlTnz59RKRnz545OTkff/zxwIED\nzV0aAABAGVNzxk538eJFEfHz89NbunTpEhsba76KAAAAyoviwa5Ro0bW1tYJCQl6y/Hjx2vV\nqmXGkgAAAMqJspdip06dumHDhhYtWjRp0mTcuHFbtmwRkZ07dy5cuLBXr17mrg4AAKDsqRns\n1q9ff/78+fPnz8fGxqalpenvkO3Tp0/r1q1nz55t3vIAAADKg5rBbsCAAXkf3r17V1v47rvv\n/Pz8LC0VvwANAACqpioRcWxtbbWFbt26ZWVlpaammrceAACA8qDmjF0hgoODV69ebTQaTel8\n+/bt//3vf9ryb7/9JiI//PCD9tDb29vR0bGcigQAACiBKhfs/Pz87O3tTey8dOnSiRMn5m3Z\nvn27tvDhhx++++67ZVwcAABAKVS5YBcaGhoaGmpi53fffVdPb8OHDxeRiIiI8qoMAACgdFS+\nxy4jI+Py5cu5ubl5G9PT069evWqukgAAAMqPmsEuKytr7NixNWvWdHd39/DwiImJ0Z9auXJl\nnTp1zFgbAABAOVEz2M2bN2/JkiVTpkz56quv6tat26NHj7i4OHMXBQAAUL7UDHYRERGTJk2a\nPHny0KFDt27d2rJly/Hjx5u7KAAAgPKlZrCLi4t76qmntGWDwbBkyZJvv/32wIED5q0KAACg\nXKkZ7Bo0aHDo0CH9Ybt27YKCgkJCQjIyMsxYFQAAQLlS8+NOgoKCpk+ffufOHX9//2eeeUZE\n5s6d27p16wEDBnh4eJi7OgAAgHKhZrB755137ty5889//nP9+vWnTp0SEScnp127dg0YMGDL\nli3mrg4AAKBcqHkp1sbGJjw8/M6dOzt27NAbW7Rocfz48Z9//nnJkiVmrA0AAKCcqDljp7G0\ntKxfv37eFgsLiy5dunTp0sVcJQEAAJQfNWfsAAAAqiCCHQAAgCIIdgAAAIog2AEAACiCYAcA\nAKAIgh0AAIAiCHYAAACKINgBAAAogmAHAACgCIIdAACAIgh2AAAAiiDYAQAAKIJgBwAAoAiC\nHQAAgCIIdgAAAIog2AEAACiCYAcAAKAIgh0AAIAiCHYAAACKINgBAAAogmAHAACgCIIdAACA\nIgh2AAAAiiDYAQAAKIJgBwAAoAiCHQAAgCIIdgAAAIog2AEAACiCYAcAAKAIgh0AAIAiCHYA\nAACKINgBAAAogmAHAACgCIIdAACAIgh2AAAAiiDYAQAAKEL9YJeTk/P7779nZ2ebuxAAAIDy\npWywO3r06KhRo+rWrWtjY+Pq6mpra1u3bt2QkJBjx46ZuzQAAIByUc3cPqGEcgAAIABJREFU\nBZSLPXv29OjRw93dPTg4uFGjRrVq1UpKSkpISNi0aVOnTp127tzZuXNnc9cIAABQxtQMdu+/\n/76/v39UVJSVlVXe9hkzZoSFhf3tb3/btWuXmUoDAAAoL2peij169OjQoUPzpToRsbCwCA4O\nPnLkiFmqAgAAKFdqBrumTZvu27evwKeio6ObNWv2iOsBAAB4BNS8FPvWW2+NGDHi119/DQgI\naNSokYODQ0pKSnx8/KZNm5YtWxYREWHuAgEAAMqemsFu+PDh1tbW//jHP1auXJm3vU2bNpGR\nka+99pq5CgMAACg/agY7ERk6dOjQoUPj4+N/++23mzdvOjk51atXr0GDBuauCwAAoLwoG+w0\nDRo0yBfm7t69m52dbWdnZ66SAAAAyoniwe5BwcHBq1evNhqNpnReuXLlP//5T2350qVLIuLt\n7a09nDBhwpAhQ8qnRgAAgJKocsHOz8/P3t7exM6enp6DBg3SlteuXSsi+kNPT8/yKA8AAKDE\nqlywCw0NDQ0NNbFz69atW7durS2fPn1aRCZOnFhelQEAgMojKyvr9u3bjo6O1tbW5q7lvrL5\nHLsbN27cvXu3wKfS0tJu3bpVJnsproyMjMuXL+fm5uZtTE9Pv3r1qlnqAQAAldrhw4fDw8O7\nd+/u7Oxsa2ur/TF6Z2fnbt26zZ49+9ChQ+YusIyCnbOz8+rVqwt8au7cuc2bNy+TvZguKytr\n7NixNWvWdHd39/DwiImJ0Z9auXJlnTp1HnE9AACg8srNzV25cmWnTp3atWs3ZcqUGzduPP/8\n82+88cakSZPeeOONHj163L59e+rUqe3bt3/qqae+/vrrfJNKj1KpLsV+/fXX+nJ0dHS1avm3\nlpmZ+e2336alpZVmLyUwb968JUuWTJkypXHjxp9//nmPHj2OHz/u7u7+iMsAAACV3ZEjR0JD\nQ0+fPj1gwICZM2c+88wzNWrUeLBbWlpadHT0ypUrX3/99QULFixdurRt27aPvtpSBbuhQ4fq\ny0uXLl26dGmB3V588cXS7KUEIiIiJk2aNHnyZBEJCAh47rnnxo8fv2HDhkdcBgAAqOx69uw5\nfvz4t956q/DPSqtRo0b37t27d+/+6aeffvrppz169DDLrV+lCnYbN27UFl566aUxY8Z07dr1\nwT4Gg8HHx6c0eymBuLi4p556Si9gyZIlHTp0OHDgQIcOHR5xJQAAoFI7e/ZsrVq1TO9fo0aN\nd999NywsrPxKKkSpgl2/fv20he7du7/wwgs9evQoi5LKQIMGDQ4dOqTX065du6CgoJCQkP37\n95u3MAAAULkUmequXbtWs2ZNg8FQrLXKSdm8eWLHjh0VJ9WJSFBQ0PTp0z/44IO9e/dqLXPn\nzr1+/fqAAQNiY2PNW9v/Z+++w5o6vweAn7A3MmTIBhVkCTLcShW3/ar8alVUcODGPXGgta2K\nG1Bx4ECqtCqIIooDKxUVFEQ2yN4rhBESyLy/P65NKSLFELhJfD9Pn6fJveHek8g4973nPS+C\nIAiCIOIhLy9v+PDh2traqqqq27Zt43A4REckuD52ERERd+/eJZPJne599OiRoE7UHdu3b29p\naTl58mR4eHh2djYAqKurv3jxws3NrY8jQRAEQRBELDGZzFmzZsnIyDx8+DA/P3/79u3a2trb\nt28nNirBJHbBwcErVqwAABkZGRkZGYEcsydkZGQOHz7866+/VlZW8jYOHjw4PT391atXWVlZ\nBMaGIAiCIIgYSEhIyM7OTk9Px9cyKCgoCA4OFpPE7tSpU8rKypGRkS4uLhISgrm923MSEhL6\n+vrtt5BIpDFjxowZM4aokBAEQRAEETkJCQkjRozosLG2thYADA0N8acGBgb4FmIJJgkrLi72\n9PScMGGC8GR1CIIgCIIgAuHi4uLu7l5aWtp+o7Ozs5SU1Pnz5wGgpaUlNDRUGEaOBJOHmZub\nC9VCaQiCIAiCIIKSmZnJYDAsLCz27NnT0tKCbzQ0NPzll1927txpb28/cODA8vLy48ePExsn\nCCqxmz17dmRkZFNTk0COhiAIgiAIIjzMzMzCw8NjYmIeP348cODA4OBgfNGwnTt3xsbGuri4\nrF27NjU11dzcnOhIe1BjR6PReI83b978/v37cePG+fr6Ojo6amhokEik9i/uulkzgiAIgiCI\nkBs3bty7d+9CQ0N379595syZEydOTJw4ccKECZ0u0EAU/hM7JSWlzzf+8MMPnb4YwzC+T4Qg\nCIIgCCIMSCSSh4fHDz/8cPTo0f/9738TJ048duyYMAzU8fCf2Hl5eQkwDgRBEARBEGFWX18f\nHx+voaExcuTIAwcOrFixYvfu3ba2tqtXr96/f7+6ujrRAQL0JLG7dOmSAONAEARBEAQRWo8e\nPXJ3d29sbASAMWPGREVF6enphYSEbNiwYcuWLQMHDvT19V23bh3hc0lRdxIEQRAEQZCuNDY2\nLl682NXVtb6+/t27dx8/fty9eze+y8HBIS4uLjg4+MyZM1ZWVsTGCYJqUDxy5Mgv7VJWVtbR\n0dHV1f2///s/Z2dngZwOQRAEQRCkz7x+/bq+vt7f319dXV1dXX3dunUXLlw4d+4c7wVubm4z\nZ84MCAggMEicYBI7KSmpwsJC3vpdSkpKvC4vNjY2JSUlpaWlR48enTZt2v3796WkBLZALYIg\nCCIqMAxLTEwcOnSovLw80bEgyNfBm5tISkrytnw+K1RGRmbbtm19GlZnBHMr9rfffmMwGI6O\njg8fPmxpaaFSqXQ6PTY2dtSoUWpqaqmpqRQK5Zdffnn06NGRI0cEckYEQRBEVDAYjGvXrtnZ\n2Y0cOTIqKorocBDkq40ePVpNTW3r1q10Oj09Pf3cuXPff/890UF1TjCJnY+Pj4KCwrNnz6ZN\nm4a3rJOXl58wYcLjx4/Lysr27NkjLy+/Z8+eOXPm3Lt3TyBnRBAEQYRffX39r7/+amxsvGnT\npilTpqirq7PZbKKDQpCvpqamFhIScv/+fWVlZVtbWyMjo8OHDxMdVOcEk9j99ddfrq6uqqqq\nHbYrKSm5uro+fPgQfzp69Oi8vDyBnBFBEAQRZgUFBRs3bjQyMgoODt60aVNxcfHRo0fl5OSI\njgtB+PT999/n5ubeuHHjyZMnr169EpLmJp8TTLmbhIREbW1tp7tqamoaGhrwx9XV1YRPA0YQ\nBEF6VXx8fEBAQEREhJ2d3blz59zd3VFpNSIedHV1v/vuO7zjyefIZDKDwdDT0+vjqDoQzIjd\n6NGjHz9+/PTp0w7bX7x48ejRozFjxgAAk8mMiYmxsLAQyBkRBEEQocJisW7fvj1y5Mjx48e3\ntrbGxMQkJSV5eHigrA4RD0lJSTY2Njo6OhYWFvr6+leuXOnwggULFujr6xMSW3uC+Xk7evTo\n8+fPp06dOmfOnHHjxmlra9fV1b18+TI8PFxZWdnPz6+hoWHUqFE5OTm3bt0SyBkRBEEQIdHc\n3Hz16tWTJ09SKBR3d/dr164J1QpLCNJzRUVF48aNYzAYrq6uMjIysbGxy5cvp1KpGzduJDq0\njgST2BkYGMTFxfn4+ISHh4eHh/O2T5w48fjx42ZmZhUVFQ0NDf7+/nPnzhXIGREEQRDCFRUV\nXbhw4cKFC3JycqtWrdqwYYPQFh4hSE/s27evra3twYMH06dPB4CamppRo0bt2LFj0qRJlpaW\nREf3LwIbIbewsLh7925ZWVlubm5paamOjo65ubmZmRm+V1dXt6qqikQiCep0CIIgCIGSk5P9\n/f3DwsJsbGz8/f0XLFiASqgRMZaQkDB58mQ8qwMAbW3thw8f2tnZ7dix48GDB8TG1kGPauxi\nY2NjY2OZTCbtb+rq6iNHjpw3b9748eN1dHR42yUkJFBWhyAIIuq4XG5UVNTo0aOdnZ0bGhoe\nPXr0/v17Dw8PlNUh4q2qqsrU1LT9FnNz802bNkVHR8fFxREVVad6NGLn6uoKANXV1To6Ol2/\n8vMGzQiCIIgIoVKpV65cOXXqVHV19Y8//hgcHDxkyBCig0KQPmJsbJySktJho4+PT0hIyLJl\ny1JSUlRUVAgJ7HM9Suzs7OwAQEpKysvLS0DxIAiCIMKlqqrqwoULAQEBMjIyq1evXr9+vYaG\nBtFBIUifmjRpkr+//65du3x9fRUUFPCNKioqQUFBs2fP9vT0vHr1KrER8vQoseNlr5cuXRJE\nMAiCIIgQef/+/enTp8PCwqysrI4cOeLh4YE6DCPfpgMHDty/f9/Pz+/06dMuLi4xMTH49lmz\nZvn4+Bw+fDg2NlZGRobYIHGC6WPH09bWlpGRkZCQINjDIgiCIH0GL6SbNGmSk5NTVVVVRERE\nSkrKypUrUVaHfLP69euXnp6+b9++YcOGVVdXt9916NChq1ev6urq1tfXExVeewJL7EpLS+fN\nm6eqqmpjYzNy5EgACAoKmjt3bmlpqaBOgSAIgvSqlpaWixcvWllZzZ07V1dXNy0t7enTp99/\n/z2a/YYgioqKBw8efP369YcPHzrsWrJkSU5OTlFR0bNnzwiJrT3BtDuprq4eO3ZsaWnpmDFj\n5OXl8SUo+vfvHxkZ+erVq3fv3hG+wgaCIAjShZaWlpKSEiMjIykpqaVLl27YsGHAgAFEB4Ug\nQgrDMAqFwmQytbW1JSQkAIBEIhkbGxsbGxMdmoBG7H799dfS0tLg4OCXL196enriG3/44Yf4\n+HgKhfLLL78I5CwIgiCIwH348GHVqlWnTp1qbGz09fUtLi4+cuQIyuoQ5HNxcXGLFi3S19eX\nlZXV1NQcMGCAjIyMgYHB/PnzhafpiWBG7KKiosaNG7d8+fIO24cPH/7999/HxsYK5CwIgiCI\noGAYFhsb6+/vHx0dPWrUqPDw8JkzZ6JbrgjSqba2tjlz5uBzJgYMGDBs2DB8bjiFQqmoqPjj\njz/++OOPmTNn3rlzR1ZWlthQBTNiRyaTv9TQSFdXt7KyUiBnQRAEQXqOwWBcv37d2tp6xowZ\nampqqamp8fHxqJAOQbpw+PDhmJiYqVOnpqSkVFRUJCQkREdHR0dHv3nzprS0NDMzc8GCBQ8e\nPDh27BjRkQpoxM7Kyio5ObnTXe/fv7ewsBDIWRAEQZCeqK2tPXfu3NmzZ1kslqen5+PHj/X1\n9YkOCkFEwJMnTywsLKKioqSkOkmcLC0tb9y4UVFR8ejRo7179/Z9eO0JZsTu+++/T0pKOnjw\nIJfLbb89ICDg1atX+AIVCIIgCFE+fvy4ceNGY2Pj3377be/evZWVlf7+/iirQ5BuysrKGj58\neKdZHY5EIo0ZMyYjI6Mvo+qUYEbsdu3a9fjx4/3794eGhvbv3x8AvLy83r59m56ebmVltX//\nfoGcBUEQBPla8fHxfn5+eCFdSEiIm5ubpKQk0UEhiIixsrJ6+/Yth8Pp4scnISHBysqqL6Pq\nlGBG7KSkpGJjY0+ePMlgMN68eQMAly9frqys3L1795s3b+Tl5QVyFgRBEKSbmEzm9evXbWxs\nJkyYIC8v/+bNm/j4+Llz56KsDkH4MGXKlOzs7FmzZnU6JpeXl+fh4fH8+fOpU6f2fWwdCGbE\nDgBkZGQ2b968efPmlpaW0tJSHR0ddXV1QR0cQRAE6aa6urorV64EBgZSqdQlS5Y8fPjQwMCA\n6KAQRLTt3Lnz7du3+IQJQ0NDQ0NDdXV1EonU0NBQXl5eWFgIANOmTdu5cyfRkQouseNRUlKy\ntLQU+GERBEGQruXn5wcGBgYHB2tra69fv3716tWqqqpEB4Ug4kBOTi46OvrFixcXL1588eLF\nmzdvOBwOAEhKSmppaf3444+rVq2aMGEC0WECCDCxi4iIuHv3LplM7nTvo0ePBHUiBEEI19TU\nRKfTaTRaU1NTS0sLnU5vaWnBN9Lp9MbGxk43tra2BgUFzZo1i+jwxVB8fHxAQEBERISdnV1Q\nUJC7u3sXVd4IgvDHxcXFxcUFALhcbl1dHYZhWlpa+MoTwkMwP/nBwcErVqwAABkZGRkZGYEc\nU7Camprq6upMTU2F7R8AQQjR1NREo9HodHqHzKzTjXgOh69vbWtrS6PROhxNQUFBQUFBRUVF\nWVlZQUFBUVFRTU1NQUFBU1PT1NSUt/HQoUPFxcUEvFvxxWQy7927d/z48aSkpOnTp//111+j\nRo0iOigEEX8SEhLa2tpER9E5wSR2p06dUlZWjoyMdHFxEYbMacWKFYsWLRo/fjwAkMnk5cuX\n379/HwBUVVUPHz68Zs0aogNEkJ5qbW1ta2trbW1taGhoaGjgPe7OxubmZvwmQntycnJqampq\namry8vL4Y/yBrq4u73FNTY2dnZ28vHz7V2pqanbzcu7cuXO98El8o5qbm69evXrixInGxsal\nS5feunXLyMiI6KAQBCGeYBK74uLiZcuWCcndZQAIDg52dHTEE7uVK1e+evXq9OnTFhYWr169\n2rRpU//+/X/44QeiY0S+dX2WmZmamn6+kb/MDBEGhYWF/v7+ly9fVlFRWbly5caNG9XU1IgO\nCkG+dY2Njd999x0ApKSkEBuJYBI7c3NzaWlpgRxKsBoaGu7evRsVFTVz5kwAmDJlCofDOX78\nOErsEAHKyMior6+n0Wg0Gq2xsREvKcPvZnaxscNB8JuVysrKKioq+J1N/G6msrLygAEDOmzE\n73u230jIG0f6WHJysr+//82bN4cOHXru3DlUSIcgwoPD4Xz48IHoKAAEldjNnj372rVr+/fv\nF7YZWEVFRQCAJ9G4MWPGBAQEEBcRIm7S0tKGDh0KAIqKinge1j7fUlRU7N+/v6mpaYfM7PMc\njuj3gQgvLpcbHR19+PDhxMTE6dOnx8TEoOV8EETYqKioPHv2jOgoAHqS2LUfcti8efP79+/H\njRvn6+vr6OiooaHRYTFpRUVF/mPsAWNjY2lp6fLycnNzc3xLenq6sGWfiEhra2sDABqNpqCg\nQHQsiLihUqlXrlw5efIkhUJxd3e/cuUKWnobQYSTtLT0xIkTiY4CoCeJnZKS0ucbv3SLE8Mw\nvk/En/3790dERAwePNjU1HTTpk14v5XY2NjAwEBhaAyNIAjShfLy8nPnzl24cEFOTm7VqlUb\nNmxALd8RhECXL1/W1dWdPn060YH8N/4TOy8vLwHGIVjh4eH5+fn5+fmZmZl0Oj0uLg7fPnPm\nTGtr60OHDhEbHoIgyJfgCxaNHz/e2traz8/Pw8NDTk6O6KAQ5FuH5zzu7u7nz59XVlYmOpyu\n8J/YXbp0SYBxCJabm1v7pwwGA3/w4MGD7777ThgasiAIgrSHF9L5+fnhy21fuHBh2bJlRAeF\nIMg/jIyMXr58aW9vf+3atTFjxhAdzhd9EymOrKws/mDixIksFuvzCYkIgiBEaWlpuXjxoqWl\n5dy5c01NTfG6ETQ9AkGEjYmJSVpamrOz89ixY93c3HJzc4mOqHPf3FT5JUuW/P77792s+aus\nrHz16hX+GO+Yf/v2bfzp6NGjBwwY0DsxIgjyTaiurj5//nxgYKCUlNSaNWu8vb01NTXx1cQR\nBBFC/fr1u3nz5uzZs3fs2GFlZeXu7r5y5UphG7375hK77777rtNpH52KiIjw9fXFH+PjfKmp\nqfjTgwcPent790aECIKIvZSUlFOnTv3+++8mJia+vr4rV66Ul5cnOigEQbrlxx9/nDVrVmBg\n4KFDh0JDQwcNGuTh4eHq6jps2DBhaPb+TdyKbW/lypXdrw709vam/M3d3d3d3Z33FGV1CIJ8\nLS6XGxUVNWnSpGHDhhUWFoaHh+fk5GzcuBFldQgiWmRlZbdt21ZcXHzmzBlZWdl9+/aNHDlS\nVVXVxcWF6NC+vcQOQRCk7zEYjOvXr1tbW//www+6urrp6enx8fHff/99h5afCIKIEBUVlXXr\n1qWnp7969Wrbtm0DBw7kdeEg0Dd3KxZBEKQv1dTUBAUFnTlzRkJCYtmyZevXr9fT0yM6KARB\nBGnUqFGjRo06duxYeXk50bGgETsEQZDekZqaumrVKmNj4xs3buzbt6+4uPjIkSPdzOru3bvX\n2+EhCCJw+vr6RIcgpiN227dv7/oFx44d65tIEAT51mAYFhsb6+/vHx0dPWrUqFu3bs2cOfNr\nb7lSKJReCg9Bvh1sNtvFxcXExCQ0NLSHh6qurhaGiRHdIZ6JHZvNvnjxIp1ONzAw4DWxaw8l\ndgiCCByDwfjjjz+OHj2al5c3a9ashIQEZ2dnooNCkG+Xj4/Pq1evTExMen4obW1t/EFNTU1j\nY6OZmZmUVMcMikwmMxgMwmstxDOxO3Xq1KRJk2bMmPHo0SMrKyuiw0EQRMzV1tZevXo1ICCA\nRqN5enrGxMQIwx0ZBPmW3b9///Lly0ZGRoI6YFJS0tKlS/FF/7S1tQ8dOtRheZgFCxY8e/as\nm41ye494JnYAMG3aNEVFRaKjQBBEzOXl5Z05c+bSpUsDBgzYsWOHl5cX+s2DIIQrLi5esmTJ\nlStX/Pz8BHLAoqKicePGMRgMV1dXGRmZ2NjY5cuXU6nUjRs3CuT4AiS2kydIJFJoaCjhI6II\ngogrvF+Jubl5cnJySEhIbm7uxo0be57VcTgcgYSHIN8sJpM5d+7cJUuWzJ49W1DH3LdvX1tb\nW1RU1NOnT6Ojo0tKSkxNTXfs2JGVlSWoUwiK2I7YAcCcOXOIDgFBiMTlcjkcjvB0SsMwjMvl\nstnsr/0qABCed8FkMv/444+TJ09mZWVNmzbt5cuXw4cPBwAMw7p4a1wuV0KiWxfS+CI3fHxQ\nfaD776ILHA6H2LcmkHdBONF9Fw0NDfgDDMNYLJaCggL+VFFRUVCzE7Zs2SIpKSmosTpcQkLC\n5MmTp0+fjj/V1tZ++PChnZ3djh07Hjx4IMAT9Zw4J3YI8i2j0+kfPnxgMBhEB/IPGo1WUFDw\n8uVLogPhE41Gi4mJuXXrFo1Gmzp16t69e7W0tJhMpmDfEb6yeElJieh+UF1gMBi5ubli+daQ\n7oiLi/vpp5863bVo0aKez10FgIiIiLCwsJSUFGlp6Z4fjaeqqmry5Mntt5ibm2/atOnIkSNx\ncXHjx48X4Ll6CCV2CCKGKisr8/PzVVVVra2tBfvbrScUFBSMjY1HjBjRnRdjGFZeXl5ZWdm/\nf38jIyNJScneDq8LhYWF586du3btmpaW1oYNG7y8vFRVVbvzhRwOp7i4mEwm6+np6enpdWfc\nER+hNDQ07OYH1QdYLFZ+fj6VSjU2NtbS0urJoWRkZAYOHEjIW6PT6fn5+SwWy8zMrF+/fn0f\ngEA0Nzfn5+dLSkoOGjSIN9YlQpycnH788cfbt28fPXrU1NT01KlTpqam+K7+/fsL5BQvX76k\nUCjt50wkJCT89ttvkZGRs2bN4vuwxsbGKSkpHTb6+PiEhIQsW7YsJSVFRUWF74MLFkrsEESs\nsNns3NxcMplsYmJiYGAgPHcwAUBCQkJaWro766K2tbVlZ2fTaDRLS8seZhI9FB8fHxAQEBER\nYWdnFxQU5O7u/nmPgy9pbm7OysrCMMze3r6biSD83VVBQ0NDSBaQpVAo2dnZcnJyzs7OPQ+J\nRCLJyMj0/Vurrq7++PGjqqqqvb29qHQj6wDDsOLi4pKSEm1t7cGDBxN7qcM3CoXy008/hYeH\ne3t7Hz9+vPs/Td23Zs2amTNn8p6uX79+wIABPj4+tra2PTnspEmT/P39d+3a5evry0upVVRU\ngoKCZs+e7enpefXq1R7FLTgosUMQ8dHQ0JCdnS0lJeXg4KCkpER0OHyqra3Nzc1VVlZ2dnbu\ntA9lH2CxWJGRkSdOnHj37t306dPj4uJGjx7d/S/HMKyioqKgoEBTU9Pc3Pyr/nq1traCcNQU\ncrncgoKCiooKPT09MzMzEa3oYrFYOTk5FArFzMxMdHvQtLW1ZWVl0el0a2trTU1NosPh0/Pn\nzz09Pblc7sOHDzvc1hSgwYMHDx48mPdUVVVVV1d34sSJPTzsgQMH7t+/7+fnd/r0aRcXl5iY\nGHz7rFmzfHx8Dh8+HBsbKyTXDCixQxBxwLua19XVHThwoIhezbPZ7I8fP9bW1hoZGRkbGxOS\n3DQ3N1+9evXEiRMNDQ3u7u7Xr19v/0eiO/DhxpaWFgsLC15T0+4TkrJIGo2WmZnJ4XDs7OxE\n98YlPtwoLS3t6Ogoum1oeMONTk5ORF3q9BCLxfL19T1+/Pj06dOvX7/e/QFs4dGvX7/09HQ/\nP79nz55VV1e333Xo0KHBgwcfPnz448ePRIXXHkrsEETk0en0zMxMJpNpY2OjoaFBdDh8ampq\nysrKkpCQcHR0JGS4sbCw8OLFi+fPn1dQUFi5cuWGDRvU1dW/9iD4cKOioqKTk5OcnBwfYWD4\nIuI5OUClgrIyH0foufLycv6GG4UHl8stKioqKysT6eFGYa6s6L7c3Nz58+fn5+efPXt25cqV\nfXz2N2/eCOpQioqKBw8ePHjw4Oe7lixZ4unpWVJSUlBQIKjT8U0kf2IRBOHB50moqanZ2dkJ\nzzyJr0L4cGNycrK/v39YWJiNjU1AQMCCBQv4+CTZbHZeXl5NTU2Phhu3bYNTpwAAgoLg3j24\ncQNcXPg5Dr8YDEZWVlZLS4u5ubmOjk5fnlqAaDRaVlYWi8US6eFG8aisCAwM3LVrl7W1dVpa\nmkCW9hJaJBLJ2NjY2NiY6EDEt0Exgog9FouVnp6el5dnampqY2MjolkdnU5PTk6uqKiwtrY2\nNzfvy6yOy+VGRUWNHj3a2dm5oaHh0aNH79+/9/Dw4OOTbG5uTkpKam5udnBwMDEx4TOrCw2F\nEyeAy/30tLIS5s+HxkZ+DsWXurq6d+/ecblcR0dH0c3qysvLk5KS5OXlnZycRDSrw6sbU1NT\n+/fvT9QAds/V19fPnDlz69atGzZseP36tUhnddu2bauvr/+qLyGTydu3b++leLqGRuwQRCTh\nxUOysrJOTk6i2PUAxysesrW17cu6YyqVeuXKlVOnTtXU1MydOzf7xGe/AAAgAElEQVQ4OHjI\nkCH8HUqQcxUjIztuqamBN29g2jT+j9k9HA4nPz+/qqqKwOrGnmMymTk5OY2NjYMGDRowYADR\n4fBJPCor7t+/v2LFCgUFhT///POrJh4Jp5aWFjMzMy8vLw8Pj/+cXZuWlnb9+vXg4OB58+b1\nTXgdoMQOQUQMmqvYE1VVVRcuXAgICJCRkVm9evX69et78rdTwHMVyWTeQ/O/H1Tl59+/cGHV\nqlU9PfiX8deWRdiQyeScnBx8oE5IOsXwQQwqK1gs1vbt2wMDA3/44Yfg4GBlgupEBev8+fOL\nFy/esmXLiRMnLC0tx48fP3z4cHNzcw0NDWVlZSqVWl9fn5ubm5iYGBcXl5WV5ezs/ODBgzFj\nxhASLUrsEESUoOIhvr1///706dNhYWFWVlZHjhzx8PDgb3IDDz7cqKKiIrC5ig4O8Ndf+EO8\nN8MDgGX799c1NHh5efXGTWoMw8rKygoLC0W6NRrvUsfAwMDU1FSkhxsbGhpEui3Lhw8fFixY\nUFNT89tvvy1YsIDocARp9OjRiYmJiYmJQUFBERERQUFBn79GS0tr2rRpV65cwZcZJApK7BBE\nZOBzFTU0NET3ah7DsIKCgr6cq8jlcqOjowMCAmJjYydOnBgRETFz5swe/u3H27LU1dUJeK7i\nzp0QFgbV1QDQBrAb4ByJNHXUqOjoaMEc/994bVmGDBnCR1sWIUGlUrOysrhcrkhf6ohHZUVg\nYOCOHTvs7e0fP35saGhIdDi9Yvjw4cOHD8cwLCMjIzU1tbq6mkKhqKur6+joDB061NraWhiu\nK1BihyAiQDyKh7hcbllZWXV1dd8UD7W0tNy8efPUqVNFRUU//vhjenq6lZVVzw/bi8ON2trw\n/j14e0NExBhl5WoS6UFYmKKMTHR0NLDZINDhNGHoAt1z4tGWRQwqKyorKxctWvTq1avdu3f7\n+voKQ3LTq0gkko2NjY2NDdGBdE4kfxIQ5JtSV1eXm5srBsVDra2t0tLSzs7OvT3cWF1dff78\n+cDAQCkpqaVLl27YsEEg2XBftGXR1X1iZQUREVojRsScPatz+PDLkBAAAA0N2L0bfHygx38y\nhaELdM/x2rLw1wVaSIhHZUVkZOSKFStUVVXj4uKEZ4HjbxlK7BBEeIlZ8ZCMjIyurm6vZnUf\nPnwICgq6fv26gYGBr6/vypUrBZUK0+n0rKwsBoPRe8ONTU1Nq1evjoyM9Pb2DggIIC1aBDdv\nftpHo8GePaCqCuvW9eQU+DwJEonk4OAgulXtvEsdR0dH0b3UEYPKCjqdvmXLlkuXLi1atOj8\n+fN8/Fs0Nzfv2bPnwYMHdXV1gwcP3rFjx/z583sj1G8KSuwQREiJX/FQ7/314nK5z58/9/f3\nf/DgwejRo2/dutXzQrr2erEtS2IiPHwIDAaMG7fs8uXMzMzExERbW1toaoKwsI4vvnCB78RO\nPJaQR21ZhEdycrK7uzuZTL558ybffT28vLz++uuvn3/+2dDQ8M6dOwsWLFBRUZk+fbpgQ/3W\noMQOQYQRKh7qJgaD8ccff/j5+eXn58+bNy8tLU2whS+925blp5/gwIEagEYAcz+/Zm3tuStW\nfOqSVVQEGAYAqgCqvFby/K5WJB5LyItHWxYxqKzAMOzYsWP79+8fPXp0XFwc372sKRTK7du3\nr1275unpCQBTpkxJSEgICwtDiV0PieQfDAQRYz1cQl5I9MES8rW1tefOnTt79iyLxfL09Hzy\n5Imenp5gT0GhUHJycqSkpHplCfmUFDhwAAD8Ac4CPAGAmhrIyPi0d9AgkJQEDscWoA7g08CU\nhQUf5xGDJeRRWxbhUVFRsWDBgrdv3/r4+Ozfv78nh2publ6yZIlLu0XzNDU1RXT6iFBBiR2C\nCBH8al5BQUE8iofMzc27vv1Ko9HGjBkTGRlpZGTU/eOnpaWdPXs2NDRUT09v7969eIP7Hkf9\nL32xhPzfLes4AHSAqQCDAaCk5NNeRUVYuxYCAwHgn0/wK1coEo8l5PHhRhqNZmlpqaWlRXQ4\nfGpubs7OzuZyuSI93Hjnzp1Vq1bp6OgkJiYOHTq0h0czNja+evUqANTW1ubl5T1//jw5ObmH\nySICKLFDECHBZrMLCgrEoHgoOzu7ubm5m8VDERERHz58qKmp6WZiFx8f7+fnFx0dPWrUqJCQ\nEDc3t94YvMHnKjKZTFtbW3V1dQEc8eFDmDEDZsyABw/+2fj3mrDTAKwAXgD8BmBLowEA6OrC\ngQNw7Bj06wfnz0NdHUhLg40N/PBD988pHkvIi0FbFgzDKioqRL2ygkajrV27NjQ0dPHixRcu\nXOhhc+8Orl69+tNPPykpKc2ZM8fZ2VmAR+4NNTU1jY2NZmZmn/9TkslkBoMh8FsHX0skv8MQ\nRMzgf70wDNPQ0GAymR8/fiQ6In60tbU1NjZKSUmpq6tTqdTc3NwOL2AwGPg75W05f/48AJSU\nlHQ9hsFisaKjoy9fvlxUVOTq6vr777/jowX5+fkCfxd0Or2pqUlWVlZdXb2urq6urq7nx9QJ\nDlaWlyc9eZKflMT9ey6qnKEhnsy6AADAIoBUgJvFxdMiIv7HZtfX1DQWF8PChRL/+5/hwoUc\nNbXyS5ewzmrspMvL9ZctK3rypP1GKpVKpVIVFBRUVFQqKip6/hYEhc1mV1VVff698Tkul9vU\n1NTa2qqsrCwvL19cXNz70Qkeh8NpaGhgs9mqqqpSUlIF/FZJ9j0ymRwUFMRisQCgsbExISGB\nxWJNmTJFTk7ut99+8/LyEuC5du7cuXPnTgzDFi5c6O7uHvn5osnCISkpaenSpRkZGQCgra19\n6NChZcuWtX/BggULnj17hmEYQQF+ghI7BCESr3hIVlZWWVmZRCKx2Wyig/pqGIbRaLTW1lZ5\neXl8cKjTd4FhGJfL5e2qq6tLSEgAAA6H86V33dDQEBERcePGDTqdPmvWrKCgILxSuzc+JS6X\nS6VSmUymkpKSvLw8l8vl/j2o1hMkNlspNrZu5Uqts2cVYmMbZ87Et7dYWJCXLdO8cgV/KgEQ\n6+KyBMNWLVgwkM22uHyZQyI1TptmsHo1V1q6JCCAKyEB/37XEq2tCu/e9b9yBdp9IBwOp6mp\nicvl9uvXT0ZGhsPh9PwtCFYX/9w8LBarubmZRCKpq6tLSUmJ4g8FADAYDCqVKikpqaamJikp\nKVrvgkajUSgUvCYhPz9fU1PTxcVFVla2oaGB3G5R45549OhRWFjY9evX8ackEmnixIleXl5c\nLlcIK+2KiorGjRvHYDBcXV1lZGRiY2OXL19OpVI3btxIdGifwZDuWbJkyZIlS4iOAhE6iYmJ\nAECj0fj42tbW1uTk5L/++qumpkbggfWZpqamN2/evH79urGxsetXDh069PTp07ynx48f19XV\nBYDExMTPX5yXl7dhwwYFBQVTU9MjR47858F7qL6+Pj4+PikpiU6nC/jQjx5hJBJWXo599x02\ne3Ynu9aswfT1MWdnLC2NJS//I4AWQBkABoANGoQNGYKRyZ0fee9eTF8fU1PDBg7EN1RVVcXF\nxX348IHBYAj4XQjIgAEDbty40cULuFxuYWHhn3/+mZWVxWaz+ywwwcInU//555+FhYVcLpfo\ncPhUWlo6evRoRUVFPz+/3jj+06dPAeD9+/e8LatXrx4wYEBvnKvnFi5cSCKRoqOj8afV1dWm\npqYyMjKZmZm817i6ugpDWiV0STGCfCNqa2vfvXsnISHh7OwsoiXhGIaVl5enpKQoKys7OTl9\nbUl4aGhop8uEx8fHf//994MHD3716lVQUFBubu7OnTt7r96cy+Xm5eWlpaVpaWnZ29sLfs7K\n7dvg7Ax6ejBzJsTEQEtLx13nzsHmzZCWBnv3SrW23gBgACTiL8jLgzNn4Ev9kH/+GcrK4NQp\nAGCxWOnp6bm5uaampkOHDhVws72+0tbWlpKSUlFRYW1tPWTIEBGd/drc3JyUlEShUOzt7U1M\nTES0XvbatWs2NjZNTU2JiYk7duzojVOMHz9+6NChP/74Y2ho6JMnT3bu3Hnp0qXdu3f3xrl6\nLiEhYfLkybxWLNra2g8fPpSQkOilD6cnUGKHIH2NzWZnZWVlZ2cbGRkNHTpUREvC29raPnz4\nUFRUZGFhYWVl9bUl4ZmZmampqYsWLeJtYTKZt2/fHj58+Pjx4wEAHz/z8PDo1WJzGo2WlJRE\nJpPt7OwGDRok+BtAbDZERoKbGwDAjBnQ1gbR0V/clZAAAFIAMgD/ZDS//PKfJ+FwOG/fvm1t\nbXV0dBR8s72+Ul1d/fbtW0lJSScnJxFttodhWGlp6fv371VVVZ2dnUV09mtjY+O8efO8vLzm\nz5+fnJwskBWWOyUtLf3gwQNnZ+ddu3a5ubk9e/bs6tWr63q2tkrvqaqqMjU1bb/F3Nx806ZN\n0dHRcXFxREXVKVRjhyB9Cp+rKCkp+Y3PVQwJCXF2djY3NweAlpYWf3//48ePNzU1LV269Nat\nW1/V/YRvfdEFOjYWKBQYOxbq60FDAwwNITwc8Db9n+/Cp8QC3AP4p5NEXBw8eAB/V+Z1wOVy\n62pqVJhMLS0t0V1Cvne7QPcV8egC/eLFCw8PDzabHR0dPWXKlN4+nb6+/o0bN3r7LAJhbGyc\nkpLSYaOPj09ISMiyZctSUlJUVFQICexzIvlbAEFEEYZhRUVFqampGhoajo6OIprVsdns7Ozs\nrKwsfX19vocbuVxuWFjY4sWLCwsLAWDmzJmnT5/29vYuKSnx9/fvg6yOwWCkpKQUFRWZm5vz\nMdz4Fe7cAQAYNQo0NaF/fygthYcPgU7vfBeVin/RSIBPffmsrWHdOlizBpqb4cYNIJGARIK/\nbxbTaLTk5GQqlSorK9srw419oqGh4d27d62trQ4ODqKb1eHDjRISEqI73Mhms318fCZNmmRv\nb5+VldUHWZ1omTRpUkJCwq5du+j4zy8AAKioqAQFBRUWFnp6ejY2NhIYXnsi+YsAQUQOnU5P\nTk6urKy0trY2NzcX6eKh5uZmBweHnhQPPX/+vKqqKjo6Gu9asnfv3vz8/J07d6qpqQk03s7V\n1dW9e/eOy+U6OjryvRpSt7DZcPcu7NkDGPbpv6QkoNFAURFmzOhkF5MJAMD7VK2t4dYtSEqC\n8nJQVYVFi0BDA6ZNw+/YlpeXJyUlycvLm5iYiGhKh6/EkJqa2r9/f5G+1MnKysrNzTU2Nhbd\nyoqPHz8OHz48MDAwICDg3r17ors4de85cOCAiYmJn5+furr61KlTedtnzZrl4+MTGRlpaGj4\n+ZAeIUTy1wGCiJbq6uqkpCRpaWnRvZrHhxvx4iFHR0flv5ux8ee3336Tl5dvbW3Fp8W5urr2\nTabL4XByc3MzMzP19PSGDRvW62t7/Pkn1NfD4sX/bHFwAFVVkJKCJ0++uEtKCvr1g127ICUF\nhgwBSUmYNAlIJPjtNwgLg379YPTo/Bs3CgsLBw0aZG1t/a+PrqgIZs0CdXXQ1YXly4FC6d03\n2AP4pU51dbWNjY1IDze+ffuWSqU6ODgYGhqK6DyJ4OBgR0dHSUnJtLS0NWvWEB2OkOrXr196\nevq+ffuGDRtWXV3dftehQ4euXr2qq6tbX19PVHjtoRo7BOlFqHjoc3Q6PSIiQllZ2d3dfcSI\nEQKJsDv6dAl5fKkJQ0NwcgJz83+2s1jQ2gpsNpBIYGr6zy5dXdi3D5hMkJQELhe4XLh0CbKz\nP92uHToU+veHn3+GDx/q7OwkKiu1zp7Vi43tmJhyuTB3Lmhrw8uXQKWCtzcsXAiPHvXuO+VL\nZWVlfn6+urq6nZ1d14vOCS0Mw4qLi0tKSnR1dQcOHCiiY/AUCmXp0qXR0dHe3t7Hjx8X0VUx\n+oyiouLBgwcPHjz4+a4lS5Z4enqWlJQIQw9q9K+IIL1FPNZ0wpeQV1FREdQS8pGRkSQSqS8/\nEKzvl5C/fRsUFaG6GtLS/rU9NhaYTFBQgLY2GDLkX7tycqCtDcrKYMECSE0FW1v44w/g/aG9\ncYPL5ZbGxSnt3auWmipBo8GKFRAQAOrq4OkJnp4AAHl5kJwMZWWAX0KcPQsjRkBDA/TJDe5u\nwueN5uXlifSlDp1Oz8rKYjAYNjY2Gl9qRiP0YmNjPT09paSkXrx4MWbMGKLDEXkkEsnY2NjY\n2JjoQNCtWATpBah4qAuhoaFz587ts5tWeFuWkpKSIUOG9FFrNBYL7t37VD8XFfWvXXiutncv\nkEjw5Mm/etolJ4OzM2hoQEUFtLTAzZvQ7gOnUqnvEhP7r12rqqgo8fgxAMD797Bw4b8OLiMD\nx48DL1tqagIhuzNIoVBYLBabzXZychLdrK59ZYWIZnUsFmvTpk2TJ092cHBIS0tDWZ2YQYkd\ngggYPldRPIqHWlpaBFs81NLS8uzZs8Xta8t6E94FmkQiOTs7a2trd/oaMpn85s0bQZ41NhYa\nG8HDA8aMgfDwf7az2RAeDhwOeHiAoyOwWP/0tAOA1FSYPRvmzwcSCbhcaNcZi0qlvn//XoNC\nUczJkb5yBUaNAgkJ8PKCmBhoaPjnCCYmsHXrp8dlZbBlC7i7C8lwHa8LtISEhImJiYKCAtER\n8UM8ukDn5OQ4OTmFhISEhITcu3dPeJp0IIIikn9yEERoVVZWJicny8vLOzs7i+jVfPu2LAK/\niZyUlDRgwICxY8cK8Jidwocb/7Mty82bNy0tLRd2GPrqoS8tNREbC1QqWFqCnBzMmAEkEvzx\nx6ddDAbQaPD6Ndy7B5cufWp3B9DW1tbS0tLU1GRhYTHQ0vLTgByFAlwuyMp2PiDHZsOJE2Bj\nA+PHw7Vrgnxf/MIvderq6uzs7KSkpER0hoF4tGUJDAwcNmyYnJxcSkpK+/bgiDhBNXYIIhhM\nJjMnJ6ehoQEVD3UBX0yit0cxm5qasrOzSSSSg4PDlybwlpWVrVmz5tmzZyNGjCguLhbYufH1\nJHbuBACYMQO2boXo6E8diW/dAgDIzATeBBS8px1ecgfw6b7thAkAAPX15NLSnNJSOwAdHR0p\nfLgRH5DLygIAOHMGRo0CdXUAADk5aG0FACgvhzlzgMWCiIhPxyEa3gVaQ0NDdOdJcLncoqKi\nsrIyPT090e0CTSaTPT09nz17tmXLll9++UVEZ3sg3SGS36AIImzwq3kmk4mKh7rQ1tZWXl7u\n7u4u8CPz4MONKSkpXbRlwTDs4sWL1tbWDQ0N79+/X7p0qSAj+Hw9iTNngESCGTM+TXF9/RrI\nZKirAx0dYDA+9bRjMEBFBUpKgHdTmEbTNDIa9b//KZWUSLW/38pmg7c3SEnBhAnw4sWnHnh4\nVsfhwPTpYGkJiYnCkNUxmcy0tDReWxYRzerEo7Li3r17VlZW2dnZf/755+HDh/nI6phM5qFD\nh4YMGaKoqGhlZXXs2DEWi9UboSI9h0bsEKRHuFwuAGRkZJiamoru1XzftGVpaGgwMDDovaUn\nu9OWJT8/f+XKlYmJib6+vtu2bZOUlHz37p0gg+CtJ8FTWQmKivDkCbDZHXeRSCApCU+eAJcL\nmzaBoSEYGmI6OlhjI0tNTap/f0l8Um1ICPzvf2BrCykpsGYNNDRAYCCsXfvPcYqKYPJkCAiA\nnBzw94eMjH92DR0KRPSwqKury83NlZeXd3Jy6vV+gb1GDNqyMJnMHTt2BAYG/vDDD8HBwXx3\noNy/f//p06d9fX2HDRuWkJCwb9++8vJyf39/wUaLCIT4J3YcDodCoaipqaEOPYjA0Wi07Oxs\nALC1tdXV1SU6HD5RKJScnBwpKSlHR0dFRcVeOguXy21ubp47d24vHR9vy6KqqvqltixsNvvE\niRMHDhxwcXHJysrqlYXLeEtN/PLLpy2JiTBiBMybB2FhICkJu3Z13EUiAYcDkpIwYADelqWf\nhoYSlSqjr0/CG6C4ukJ8PPzf/wEASEqCjg68eQPOzp8OQqNBXBz4+QEApKUBi9VxrI5Mhr6t\n9cSnhFdUVBgYGJiamopoRZ14VFZ8+PBh/vz5tbW1N27cmD9/Pt/H4XK5/v7+W7Zs8fHxAYAp\nU6ZISEj8/PPPfn5+cnJygotXZHC53OLi4ob2Q+l/k5eXt7S07PuQ2hPbXCc1NfXMmTMPHjyo\nra3lcrkSEhJaWlrTp0/fuHGjra0t0dEh4gAvHsJHI3q94W3v6Mviobi4ODabffToUYEfmc1m\n5+bmkslkExMTAwODTjOJ1NTU5cuXFxYW+vv7r1y5UuAxfPL5UhP4r34aDWxsIDW1k10zZkBT\nE7x5w2Kx0lNSaDSarpKSxJQpcPcuxMWBrCy8fAlxceDiAr//DosXQ2goSEpCcvKng0REwPXr\nQKOBhgbs3Pmpto84zc3N2dnZXC63L7pA9xoKhZKdnS0nJ+fk5CSiE3gBIDAwcMeOHcOGDXv6\n9KmBgUFPDlVZWWlkZDR9+nTeFhMTExaLVVtba2ho2ONIRUxaWpqbm9uXGhEbGhqWlJT0cUgd\niGdiFx8fP3nyZCMjoyVLlhgbG6uqqjY1NZWXl0dFRY0YMSI2NnbkyJFEx4iIMCaTmZ2d3dzc\nPGjQING9zUSj0bKysphMpq2trTpeg9+bQkNDJ0+eLPC1Wf+zC3Rra+tPP/10/PhxNze3R48e\n9e/fX7AB/MudOx2Xmrh9G/T1ITYWLCxAQgL09DrZtXcvvHhRlp8vMWaMs7OztLQ0mJrCggWw\nYgV8+ABycmBtDQDw6lXnA3K//gohIf8MBBIEw7CKioqCggJNTU1zc3MRvUPCG24U6XkSlZWV\n7u7uCQkJPj4+vr6+PR801dfXx29N4FpbWy9dujRw4EDRHcvsiQ0bNpSWli5evNjCwuLzakVh\nmJUikj97/2n37t3Tpk27detWh4/44MGDq1at8vHxefHiBUGhISKvpqYmLy9PTk7O3t5eTk4O\nvzhjs9lsvIJKRFRXVxcWFqqpqeFV7b0dfFtbW0RExNmzZ3knwjCMy+XiTzkcDh8B4GsYlJWV\n6ejomJiYSEpKfn6Q+Pj4VatWUanU33//ffbs2QDw+Ws4HE6n2/lx9iwAAO9QbLZUZCR3+3bu\ntm2kjx8lraw49+9jP/7Yfhdz06by2NiBGKZoampgZUUikTD8owkJ4R0EVFSkJCQ4rq7YyZOd\nnJTNJnE4EhjGIe47kMFg5Obm0mi0wYMH46lzF58nf//cfYBOp+fk5HA4HBsbG1VVVS6Xi1fQ\nCj8ajcZkMvHHDx8+3Lp1q7KycnR09JgxYwR+KzwlJWXlypW5ubmPHz8W0cS3h5KTk0+ePOnt\n7U10IF8knoldamrqtWvXPk+cSSTSkiVL2o8nI0j3cTicnJyc2tpaAGCxWHjRfU5ODgC8fv1a\nUAsz9CUymUwmk/vgRM+fP2exWBoaGi9fvsS3tLa25uXlvX79GgA+fPjQhvf74EtVVVVVVVWH\njTQa7erVq5GRkdOnT1+9erWCggLv1B18/Pixra3tS3t7Qv3du6EUygdlZXp0NGCYo5ZW88WL\nmbq6/9r1+DFgmL6WFikiIt7GBgCGNTc3lZcXtItHurl5DJebUlVF/UKQOh8/Gre1JfTCW/ha\nOTk5+E/El+ApYG982gKU1mEhOOFWV1c3f/58DMPab6yvr3d1dTUzM8vPzxfUiSgUyrZt20JC\nQmbNmnXnzp1eqVIVBdra2sOGDSM6iq6IZ2JnZmb25s2bOXPmfL7r9evXAwcO7PuQEFHHW0Ie\nn/DP245fEA8bNkwk7sk2NzcXFRXJyMiYmpr2ZSbq5+fn5uY2evRo3hY5OTkjIyP89+OQIUMc\nHBy6f7T6+vqSkhIlJSUTE5NO5yrGxMRs3rxZRkbm/v3748aN6/poHz9+lJGRcXR07H4A3SQX\nEgIAw9pd2cu2tDhZWWHy8l3sUlBSktfRUWsXj+Tr1wBgMXWq1LNncl5eAAByctTaWt4LpD9+\nlJGV7Y230DUOh1NeXk4mk3V1dXV1dbszOIR/7/V9qF1gsVhFRUU0Gk1fX79379T3moSEhLS0\ntIMHDzY3N+/YsWPKlCn49i/NDedDXl6ei4uLurp6QkKCk5OToA4rilxdXe/evTuq/fR2ISOe\nid369euXLVtWUVHxf//3f8bGxioqKlQqtaysLCoq6sqVK1evXiU6QESU4HMVi4qKOi0ewmur\nlZSUhLzIuv1cRRMTk768h1JXV/f8+fOYmJj2rRYkJCTk5OTwqjgFBYVudmH4z7YsNTU127dv\nDwsL27p164EDB7ozZU9OTk5CQoLvNhBfxGbDgwf/miGbnExydFSKj6e7upIiI8s8PORPnPj0\np/fvXeDmBpKSkjIyMu3jCQ6GqVOVjIxg+XJYvhzf9q9w5eSgN95Cl5qbm3NycrruAv05Eokk\nJyfXx6F2QQzasmAY9uLFi/37948dO/b69esCL2PFTzFnzhxbW9u7d+9+m9Ng2ztx4sT48eO9\nvb0XLFigra39+fWMmZkZIYHxiGdit3TpUmlp6aNHj968ebP9dhsbm+vXrwt4+SBErLW1tWVn\nZ7e0tFhYWHxpsVHhR6VSs7KyuFyunZ1dv379+vjsYWFhWlpa48eP7+Fx8LmKsrKyX5qrePv2\n7TVr1ujr679584b4MaHPZ8g6OIC5eduNGwXFxTZNTTrbt0vzBlQcHMDcHMLDwc0NAKChAQoK\nAMOgvByuXoWHD+HPPwl4C1+AYVhxcXFJSYm2tvbgwYOFoVqcDxwOJz8/v6qqysjIyNjYWETb\nsuAdv5OTk3/66acdO3b00llev36dmZk5efLkGzdutN/u7u4uotlwT7S0tHA4nLNnz57Fa2o/\n0+G2eN8Tz8QOABYtWrRo0aKysrLKykoKhaKurj5gwIAeTvlGvjW1tbW5ubnKysrOzs6iWEKH\nw9uyEDhXMTQ0dNGiRT358/+fcxWLiopWrVoVHx+/Y8eOPXv2CEUv2c9myLJYLIqrq+bVq2aS\nkuDkJI3PdeVZuBCOHQMGAwDg8mW4fBkAQF0dnJ3h1Suws2eTdqIAACAASURBVOvL2LvQnS7Q\nwo9XWSHSbVmuX7++YcMGfX39hIQEGxub3jtRZmYmAJw6darD9pkzZ36Did3q1avT0tL+97//\nmZubC+dVjdgmdjgDA4MOyRyDwWCz2b3XhRURD2w2Oy8vr6amRqSv5hkMRlZWVktLi7m5eW/c\noOmOjx8/JiUlXblyhe8j4G1ZWCxWp8ONXC43ODh469at9vb2KSkp5u1bjRDrwoX2zz61ZfHw\nUDxypNO2LLBvH+zbBwDAx8QCT0/w9OQvzK+Cd4FWUVH5Uhdo4YdXVhQWFor0cCONRlu7du2N\nGze8vLwCAgJkZGR69XQrV67sxe6PoiY+Pv7o0aNb8YWbhZKYJ3afW7Jkye+//97NkdJLly4d\nOXIEf1xXVwcAf/31F/50165dK1as6KUgEWLhV/NfWzwkbHjFQ46OjgReVYeEhNjb2/M9nND1\nEvIZGRleXl45OTm//PLL+vXrhbP5gngsIc9msz9+/FhXV9dFF2jhx6usGDJkiOhWVvz1118e\nHh4MBuP+/fuoyUPf09DQaD8PTAh9c4ndd9991/nlcmdcXV15KWBISAgAeP59Wezq6tob4SHE\nQsVDgoVhWFhY2Pr16/n4WnxNp8bGxkGDBg0YMKDDXhaLdfLkyf3790+aNOnOnTt8Nkpta4Nj\nx+DcOairg6lT4ZdfQNCVebwu0DY2Nhp9u7SXAP1nF2iRIAaVFRiGHTx48Ndff50wYUJoaKiI\nzuEVdVOmTImJiRkxYgTRgXzRN5fYfdWQsomJCe/Fb968wb+8tyJDiIaKhwTu5cuXpaWlCxYs\n+Nov7Hqu4ps3b7y8vOrr6y9evOjh4cF/fCtXQmjop8ePH0NcHLx9C4KrVRKDJeR5lzq6uroD\nBw4U0UsdfLixtraW8EudnigoKJg/f352dvapU6fWrVtHdDjfrqNHj86ePXvfvn3z58/vdFYs\n4Zdw31xihyCdQsVDvSE0NNTV1fWryvu6XkKeTqcfPHgQXx/s3LlzPcq/8/P/yepwbW1w+DD8\neyo9f8RjCXk6nZ6VlcVgMER6uFE8KiuuXLmyefNmIyOjxMREKysrosP5puno6LDZ7JiYmF++\nsI4fmhWLIARDxUO9pK2t7c6dO2fOnOn+l3TdluXRo0dr1qyRkJCIiYkRQC1Eejr+f6n2vwcz\nMnp62G60ZREJ+KWOqqqqra1tb9fm9xLxqKxobGxctWpVeHi4t7f38ePHRXQRXnEyf/58okP4\nD+hbBPmmoeKh3hMdHc1ms/EVWruji7YsZDJ58+bNYWFhGzZs+PnnnwUzq/3v+fL/B+D42Ub+\niMcS8v/ZBVokiEdlxZ9//unh4cHlcqOjo3nrSSDECgoKIjqE/yCeid327du7fsGxY8f6JhJE\naKHiod6Wl5dnZWXVnSSMyWSmpKR8qQv07du3vb29tbS0Xr16NXz4cIHFN3Qo2NhAerocwD8t\nUnrQvZxGo2VmZnI4HEK6QAsK71LH0dFRSNpC0en0jx8/2n1NJz8xqKxgsVi+vr7Hjx+fPn36\n9evXCa+XRWJjYwFg7NixLBar61cS/oMjnokdm82+ePEinU43MDDo9KcaJXbfOPEoHmpqasrO\nzhbm4qFuJprZ2dkODg6ft2Wpqqry9vaOiorasmXLTz/9JOC/0NLSEB4OixbB27cAAPLysHcv\nuLvzdzBeWxZzc3MRnSchnG1Z7t27t3HjxpaWFjKZ3J3Xi0dlxcePH+fPn5+XlxcYGLh69Wqi\nw0EA/m6FUV1d/Z9Fw6jGrlecOnVq0qRJM2bMePToEaozRTpAxUNCgsvl5uXlAUD//v3t7e3b\n/w3GMOzSpUvbt2+3srL68OGDpaVlr0QwaBC8eQMFBVBXB1ZWwNegCD5PoqmpqdO2LKJCCNuy\nFBUVbdiw4fHjxyNHjkxLS+vOlzxvbv69sZHdr98cExNDkV0RITg4ePPmzZaWlqmpqaampnwf\nZ/PmzVJSUmgUQ1DwMWMpKSkvLy+iY/kP4pnYAcC0adMIHw5FhA0qHhIeXC63uLgYXyhiwIAB\n7bO6goKClStXJiQk+Pr6btu2rXfTVgkJGDQIBg3i76uFpAt0DwlbWxYWi3Xu3Lm9e/fa2dkl\nJycXFBQsXbq06y/BMGx7Y+Opfv24KioAcBVgMcD1PolWgOrr65csWRITE7Nu3boTJ07w/Z2P\nYdjjx48vXbq0Zs0awUb4LUtJScEfXLp0idhI/pPYJnYkEik0NFRPT4/oQBBhQaFQcnJyhKp4\niA+84UbRLR7C27K0tbXh+VD7XWw2++zZs3v27Bk7dmxWVpaRkRFRQf6nrtuyiAohbMvy4sWL\ndevWVVdX81YTKSgo6OL1LBYrLS3t6p9/nqNQsPR0yMiAGTPgzJlQgOkAwj59sZ2nT58uXbpU\nWlr6xYsXPVnYIDIy0sPDg0qlCjA2pIPGxsbCwsKqqipdXV1TU1Nhq6kV28QOAObMmUN0CIhQ\nEM7ioa/FZrNzc3PJZLJIFw/hw400Gk1WVlZXV7f9mERqaqqXl1dBQcHJkydXrFghzG9QqLpA\n8w1vyyInJ+fs7CwMw41VVVU7d+68cePGwoULT548+aXR6PLy8oyMjLS0tPT09IyMjMzMTBaL\nJdevH2ZnBzY2QKNBcTH+yj9FJLFjsVjbt28PDAycOXNmaGioiopKT47m4uKCt9OfNm2agAJE\nPmlqavL39z9z5gy+xChP//79vb29N27cKCS/DcQ5sUMQaFc8ZGtrq66uTnQ4fBK/tiztUzoG\ng3HgwIFDhw7Nnj07OjpaS0uLwCC7hmFYRUXFl9qyiApha8uCj9T6+vqamZm9evWq/WJNVCo1\nNzeXyWR6e3vj+VxDQ4OMjIyVlZWlpeWECRMWLlzo4uIS5+i4Df+C2FgoL/90WALeylfLycmZ\nP39+SUnJ9evXF/ZgUjZPv3798AEkER3RF1qPHj1yd3dvbGxUVFQcN26cvr6+lpZWbW1teXl5\ncnLy/v37T506FRYWNnXqVKIjRYkdItaErXiID99CWxZ8RfPff//dzc2NqAi7g9cFutO2LKJC\nGNqypAPkAxgB2AO8ef167dq1JSUlhw8fXr58eUVFRVRUVHJyclZWVmZmZk5ODpfLlZWVzc3N\nHTp06LJly6ysrKytrWk0WnZ2trS0NN5Sh8M79MSJvIdjiXhrXyUwMHDnzp1Dhw5NSUkxNjYm\nOhzkiwoKCtzc3Fgs1s8//7x27doOYwQUCuXcuXMHDhxwc3PLyMjoyZQXgUCJHSKeWltbU1NT\n29ra+vXrJy8vX1pa2ksnKi8vB4DCwsLeuJnFYrHIZDKHw9HU1JSSkir++x6TSKivr29rayso\nKGAwGGQymUQiaWtrc7ncwsJCAGCxWGVlZXgrBzMzMz8/v379+nVdTUUsOp1OoVCkpaW1tLRa\nWlpaWlqIjogfVCq1sbFRXl5eU1Ozvr6+vr6+jwNgcTi/MJnZ+JOGhv47dpAvX7awsHBxcbly\n5cq2bdtaW1uVlZWNjIwGDhzo5uY2aNAgS0tLNTU13hEwDMvIyGhublZWVu7Xr191dTUAaAIs\n09C40i5PdaHTR1dVCdX3E5fLPX/+PI1GAwAGg/HixYuysjInJ6dx48bdvHnTx8dHmMsPvnGH\nDx9ua2s7ffr0xo0bP9+rrq6+d+9eZWXlTZs2HT58mPDZFSixQ8QQmUzOycnBMAyvVunVOmI6\nnQ4ALS0tbLaA7/wwGAw6nS4lJaWsrMxms0WuGprJZHI4nNra2ra2NllZWXl5eQaDwWAw8L00\nGi0gIEBFRSUoKAi/9darb1AlPt50/frmsWMLAwK6s8tq6tSapUvJ8+YBAIZhra2tDAZDTk5O\nXl6+tbW19+LsPVwul0ajcTgceXl5WVlZPL3oe1QSqU5GBhgMGD4c0tPruFySlBSHw2EymaNH\nj166dKmZmdnnfcJ43xscDodGo2EYpqSkJCUl1T69Xk+lOiorx6uoMCUkHFpaJjc0EPMOv4zN\nZmdmZjY2NjY1NRUUFEhJSdnb2yspKb1//15TU5PD4Yjonf1vwdOnTzU1NTvN6ng2btx46NCh\np0+f9llUX4K+jRCx0vdzFZlMJgDY2toKcFVQvC1LW1vboEGDhGSuIh/w4ncOh2NjY9O+EL6m\npmb79u11dXXffffd/fv3+2iGsr8/KCqqJCbamZh07FfX6S5paX19fX07O3yehKSkpKOjo3B2\nge4OvC2LgoKCpaUlgfMkMACmhASUlsLYsZCaCpMnw+HDkjY2H6SluxPTf3aBtgP41N5DQwOE\nckr13bt3N2/efOnSpUWLFp0/f14Y5qwg3VFZWTlhwoT/fJmDg4MwJHYiOT0QQTpFpVLfvXtH\nJpPt7OzMzMxE9L4GhUJ5+/Ytg8FwcnIS3ayuurq6vLycRCI5Ozu3z+pu375tbW2dlpZmYGAw\nb968PsrqWCy4dw/27AEMg6iobu7CMKyoqOj9+/eqqqqim9VxOJzc3NzMzEw9Pb1hw4YRm0lQ\naDRuczPs3QuamjB0KISGwrBhbGlpyn99IZPJTEtLKywsHDRokLW1tYjWy6akpNjb29++ffvm\nzZshISEoqxMhbDa7O5O6tLW1BX7rhg8osUPERHl5+fv375WUlJycnIStq1A34SsxpKWlaWlp\nDRs2TIBDgH2JxWKlp6fn5uaqq6srKCjw1vYoLi6eMmWKh4fHunXr3r17Jycn13cxxcZCYyN4\neMCYMRAe3p1dGIaVl5dXVFRYW1sPGTJEROesNDc3v3v3jkKh2Nvbm5iYEHupExUVZT9kiKSM\nDJw/Dw8fwocPoKUFAFoAXbcbJZPJb9++ZbFYTk5OIrq2B4ZhR48eHTVqlJ6eXkZGxrx584iO\nCBFn6FYsIvIYDEZWVlZLS4u5ufl/ruIntPC2LCwWSzyWkHdwcMCbaQEAl8sNDg7eunWrnZ1d\nSkqKhYVFX4d1+zY4O4OeHsycCXv2QEsL8FrGdLarurpajckkkUii3gW6sLBQGBady8vLW79+\n/fPnz9esWeNy6JDbv4dpu1jxSjy6QFdUVLi7uycmJvr4+Ozfv7/Pzouv14d8g1Bih4g28VjT\niVc8JLptWb7UBTojI8PLyysnJ+fEiRPEtB1msyEyEnbuBACYMQO2boXoaMCHTD7bxbl/P9fO\nrq6uboyUlJ6eHkk0szpeW5YhQ4YQ25altbXVz8/vyJEjo0aNSk1NHTJkCAD8BXAMIA/ACGAj\nwJe66FKp1KysLC6XK9KXOuHh4atWrdLS0kpMTBw6dCjR4SD8e/Xq1eLFi7t+zevXr/smmK6h\nxA4RVRwOJz8/v6qqqtPWaKICX9OpsbFRXJeQnzBhgqOjY1ZWVk/eXVxc3JYtW+bOnbtr166v\n/uLYWKBQYOxYqK8HDQ0wNITw8E+J3b93cfX1Gy9fbjl82MHBQVJSEkTzO6p9F2hihxujoqI2\nbNjAZDIvXrzo4eHB2z62Gx3m8Esdke4CTafT16xZExoaunjx4gsXLvRp7QHSC4qKioqKioiO\noltE8gcGQcRjTSfecKOTk5PoDjd23QWaTqevW7eO76yuuLh4245tEeERUopSTdlNmmTNpRpL\nJUlfc2Pxzh0AgFGj/tlSXw90OigodNglAaBWX+8wZIikaK7t0XUX6L5UXl6+efPmyMjItWvX\n/vzzz1+1RhavsuJLXaAfAswAmAHwoN1GXYDqvx8rAjj+P3tnHhdV+f3xzwwMOwz7IrIIKDAg\nooC5pKmpqfD1Wy6l4l5aWmla5kLmWplLmVo/TXPN8huSC4qYIWLgArIqw4CsguwMw8AMs9/f\nH1emiU2EAWbovl+8anjOc5/n3AGZc89zFuAbYBgAYAwQ3ySyAoYDXwHd7TpLSkqaN28en8+/\nfPlySEhIN+9G0e3Ex8c/f5LGQBl2FFqGRgUPdZq+ETzUrS3khULh7t27d+/ereOhQ/xESH+W\n5knylj1Zdo1/LcIt4vnXk8hkuHABYWHYufPZSHIyAgMRHY3p00mRcNMmNpstFot9xWLmq6/i\nxg1odgOMViEfdWg0WkBAQC8m8Eql0h9++OGzzz7z9/dPSUkZPHjwC13ekciKcMAYuAHUAaqP\ndFuBOQABXAa+BkKAPIBcYgmwHiCAYuAEMBqIAV7q5C0+B4Igtm/f/sUXX4wfP/706dPa26GE\nQpXRo0f3tgovAGXYUWgTmhM81BX6RvAQ2UJeX18/KChIvQm8BEGcP39+3bp1Uql03t55P730\nE1Ts3t95v0fzo6eYdawhY2wsamqgGhkTEABPT0REwNQUNTXVU6eyHzxgMpl+fn56enrPRKRh\nV1UF1U4YVlbQyB+WsulcDz/qZACJABN4FSD7K8XFxa1cubK8vHznzp0ffvjhC7Wg7WBkhRS4\nBIQBW4BIYL6KyB7wBAB4AS8Do4FMIBAAYKUimgTMBLYA0S9+y8+lpKRk7ty5KSkpO3fu/PTT\nT7thBwqK50OVO6HQGiorK5OSksjSaNpr1VFlWdonKSlp9OjRixYtWrBgQU5Ojk6IDlp8xN8T\n3OvocufPIygInp7/GAwNRWSk4syZRl/fTJnMzc1tyJAhz8qyhIYiMhJke4xt2+Dh8ffXTz91\n8da6A5FIlJqa2sNlWQjgXWAIsGzy5Df/97+BwC9lZQsXLpwwYUJAQEB2dvbq1atfyKrreFmW\nGIAHLAReBtpx25L1U9qqULwKuA6ovZnaqVOnfH19a2tr79+/T1l1FL0I5bGj0AI0J3ioK1At\n5NunrKxs06ZNp0+fnjlz5q+//uri4gLAlNd0qhjadK4GmOl0OGbryJFWBjdv5r7/PofD0dXV\nDfTx+UeR5M2bsXkzABQXd+4uepLy8vKcnBwzM7MeLstyHPiRfJWZifJy7o8/zl+3ztfNLSEh\ngewO13FeNLIiHBgOOAIhQBjQACjDISuBPIAAqoEdwErApo1FfAEAhYBVGxNeFIFAsHLlyrNn\nz77zzjsHDhxQ1m6koOgVKMOOQtOpq6vLysrq9eChLqLs6dQ3yrK01dOpc5CBWZ9//rmbm1ts\nbOzYsWOVoqlmU/dV7AP+Dndn0BiTTCd1eq+2yrJoFzKZLDs7u7q6esCAAU5OTj38qPMsa4Eg\nUFmJb74Bn09s367/wQcjVMyydrIZTAEFUAXQRSI2my0QCLy9ve/a2bGAOcCvbe8rAy4C6wEA\nwcDHwFVAWer3c+Dzptc6wLdtr2MJ0FXU6yK3bt1atGiRRCKJjIycOrWt4i0UFD0HZdhRaC69\nFTykXmQyWV5eXh8oy5KVlcXn89VeliUyMnLNmjW1tbXbt2//4IMPmv2UXzV99XOHz78o/0JO\nyAHo0/S/6f/NYMMXC8lXoizL4ufnZ2lpqQbtewPVKtAmvZHAyyP/d+IEZDK4u+PXX2Fnl/Yi\n2QyNQHhdnVtGhrIsyyW0PHJvzlmAC4wBagArwBmIUDHsDgPvAgDqgR3AKsAcaLXsGBdQAF0v\nZS6Xy3fu3PnFF19MmDDh559/Vm2dR0HRi1CGHYWGIhKJ2Gy2UCj09fXV3r+Yfawsi3rdjeXl\n5dOmTfvzzz9XrFixbdu2tg52tzlsm2Mx53bDbV2a7qumr7rquXZuu/bLsmgFykcdBwcHDw+P\n3nrUCQJuAUhPB4CzZ9EUV9DxbIYhjY2/NDYe7t+ffNRRAFeAkW3vKADiALKGoUrdGtQAQqBZ\njKcpsBuIBa60YdixAQCuHbrXNnn8+PHcuXM5HM7+/ftXrlzZ6XVOnjx56NCh3Nxcf3//L774\nQruyLyk0E8qwo9BEyOAhJpNJ9XTqXbqpLEttbW1lZeW2bdsmTJiQmprq4+PT/nxvA29vA+9O\nb9etZVl6DKFQmJmZ2WoV6B5mA/A/4IlAAADW1gDeBvKBiH8adqoosxnq6urkJiajq6rOqhwh\nJwBGwNC2Exp2ASeBCsAC4DYNJgOBQDTQanEax7Zj7A4AU7oWYHfs2LG1a9cOGDAgMTGRxWJ1\nep2zZ88uWbJk7dq1YWFhZ86cmTRp0t27d6kGFRRdhDLsKDSL3g0eUheipuAhFotla2vb2+p0\nku5wN8pksuPHj3/22WdkXf5Dhw6pZdl2IMuyGBgYDB8+XHujG5WPOn8n8PYelkAq8LJAwNHV\ndWEwdIGjwLcdyGZoKCgoKiqijR07rX//azRaHPAqAOAS8F+AaHvHHcBYYDKgGmMbAHgCEU2G\nHbkdAClwC7gBJDbNrG3SpAQ4AUQBsZ29dy6Xu2LFioiIiA8++GDv3r1d7Iqxe/fuuXPn7tu3\nD8D06dN9fX2///77H3/8sStrUlBoZeAwRV+ltrY2MTFRIBAEBAQ4OztrqVVHlmWh0+nDhw/X\nUquOIIiSkpLU1FRTU9OgoCB1WXU3b94cNmzY+vXrP/74YxcXFz8/P7Us2xaqZVmGDh2qpVad\nVCp9+PBhdnb2P8qy9DaWgIdAYKCnxweWATQgGBABV1XmfA54AAOBkcB1wLi4mCzLQqfTdej0\n14ELTTMvAa8/b8fzwACg2c2HApGAWGU7D8AXCAduAUo/8E9NmswEKoEEYHin7vrmzZt+fn7x\n8fHXrl3bv39/F6264uLijIyMWbNmkd/q6Oi8/vrrV65caf8qCornQhl2FBoBQRAFBQXp6elW\nVla9FRLedWQyGZvNZrPZ/fv3HzJkiJYeIotEorS0tIKCAi8vLx8fH7V06szNzX3zzTcnTZrk\n7+/P4XDWr1/f3Va7QCB48OBBdXW1v7//wIEDtTT7lcvlJiYmNjY2BgYGatohskQi0TUwaJnN\noOQwQAAE8Lii4s2Skj1OTo9HjFDGy74OXAQIIBOoAca2uocKR4AtLQY3A3xAHyhr2osAZEAM\nENQ05y8VUQ1wDfB/8ZuVSqUbN2587bXXAgIC2Gz2pEmdz8tWUlpaCoAs60Pi6upaUVEhl8u7\nvjjFvxnqKJai99Gc4KGuQOYq6ujoBAYGaqlhiu5pIf/LL79ERESMGDEiOTnZ378Tn6ovTB9o\nIa+MbtTYsiweHh4cA4P6drMZpFIph8Phcrm7Bgx4DETr6i5pEo0GJEAS8CcQ8s+PorNNsXoG\nQGO338fzyc7OnjNnTkFBwU8//bRw4UJ1LcvlcgGousOZTKZCoeByuTY2bcUHUlA8H638k0fR\nl3j69GlOTg75OiMjo3eV6QQcDgfA7du3lWZQUlJSr2qkBmpra+/cudPFRfLy8p48eSIUCq9e\nvbpmzZpJkybV1tbGxj6LbhIKhdnZ2cpvu4PKysrKysruW79nKCkpKSkp6W0tWiGTzS4bNGh+\nUdHS/HxyJMfU9L3AwL2PHo2pqpKMHp1dUBBfWkqK8vLy9I2MJGJxbE6OfOzY9EeP9LjcIC+v\n7ySSFAuLuU+exFZVlQwcyNfTi83M7AfcbNpF9fcjy96+0dU19l6H+450gfnz55c2Ka9k0aJF\ny5YtKywsdHBw6PoWZMGd+vp65Qifz6fT6VrakIZCc6AMO4peQyKRZGdnc7lcFxcX7X1ClUgk\nAHR1dT08PLT3L7JAIMjPz6fRaG5ubmppEZaSknL9+vXy8vKlS5du27bNzKx5rwgDAwMXF5fA\nwEDVwT8Ef8wqnfWa8Wvh/cKbzW8mmvF0xp/CP1vu+7Xo63G649zc3LT0HBxAZWVlSUkJk8l0\ncXHRZHdjjUIhsbdfY209sKkiYCCwT6F45Om52smJTqfz9PTE/fvb29vL6fS/dHRS9PVvCYXe\ngYF0On3QoEGBMtliXd2PDAxqabR3XV2NXFxs9fV16fRmvxKq5DAY+np67UxQI9euXSsuLv7q\nq6/u378/d+5cZYVFBoOhFqsOAFkPsri4eOjQoeRIcXGxra2tltbiodAcNPevBkXfpvtayPck\n5eXlhYWFAAIDAztt1YlEIg6Hk5WVlZmZmZWVNXPmzHnz5qlTy3ZRexXop0+fbty48ezZsz4+\nPtbW1seOHWt1Gp1ONzAwaNZK5Ar3ijHdOFYYqzBSMHWY7YhOuJ8QyAUALtdd3lq2NWlg0pMn\nT6qqqob1H8YawNLStBuyLAuPx1N7FejuoKS62sXGZphqQzZgAbCbRnv0+LHCz+/EgAEnAAA6\nwCtAHBBkbAyABhgaGpoC/wGWAq8CdiYmAPQAXaCd7jIGAL3dCWqksLBw2bJlRkZGcXFxo0aN\nev4FL46Tk5Ovr29kZOT06dMBEAQRGRk5bdq07tiL4l8FZdhR9DSaHzzUEZTBQ46OjgA6nqso\nFAqzsrLIHAvSmCsoKJDL5dbW1r6+voWFhVZWVj1m2HW9CjQB4gz3zKmaU2XSMje46ZzTufHN\nDW8v77i4uPj4+EuXLnV8KSkhvcS7FGYftqVsS2Rd5HzL+e2I+jP6gwEA/YT9aASN/5DPJJgj\nh4zsA1Wgg4KCeiWBNwoIBoKVHcOeJ2JUVe2wsVkPxAJsoB8QDCwtL38lJ4dpaVlOo7Xld1Ie\nPRqovAZw8HkaLgIWdfRuOo9UKl23bt3BgwdnzZp17NixbrUj169fv2jRIm9v75EjR548eTIn\nJ+f06dPdtx3FvwTKsKPoUcieTlKpVO0t5HsS1Z5ObDa7nZlisTg3N5fNZmdmZpL/5XA4CoXC\nwsKCxWL5+PiMHz/ex8fHx8eHPN+ZP7+tCq/qRy0t5D8v/Xxn+U7wgB+RFZcFGfApeG/wDNwN\nEP9iS8XUx/DkvIVWC2/U34jgRagadm2JCIKoqalRKBRMJpOqAt1FwgFj4EaLzmCtiuRyeU1N\nzWZbWzNgHcACsmWy7VLp72Zm1zw8WG27GwuAycDjbr2TLpCWljZ37tyKioqff/557ty53b3d\n/Pnz5XL5d999t23bNn9//5iYmO6uAUTxb4Ay7Ch6DmULee3t6dR+C/m6urrc3FylDcdmswsL\nC1XNuOXLl/v4+AwePNiuqQtTryCTyXJycqqqqrpYBbpGVvNVxVcAkAj8D3gT+BAwQr40f3b+\n7KXE0hdaLbw2fLjxcEeGYwgzJKw0rEHRYEI3aUcky0h6LgAAIABJREFUEomysrKqRdV0A7q3\nd+f7UvQu9fX1bDZboVD07qOOFLgEhAFbWnQGaykqAQ5wuXK5XGRrextwBrhcrigr64iR0QJ/\n/9+NjFptxUC2Bfu6h26oMxw8ePDTTz8dOnTo9evXnZ2de2bTRYsWLVrUA45Iin8RlGFH0RNo\nV/BQWyhbyJNlWXg8Xl5eXlRUFIBZs2ZlZ2cXFBQQBOHg4ODj4+Pm5jZx4kQfH58hQ4ZoVGqI\nGlvIZzRmyAmVmlsTgK+BWcBgFEoKn0qfdnwpGSG7WHdxvd16AMFmwR+XfHy17upbFm+1JRov\nHU+WZXFzc6OV/W2Y3rp1a8WKFcnJyVoRuKk5ZVliAB6wELjRojNYM5EHMBEQ1NYCqDA3HwL8\nXFRkXFBAPupcotFEbWxBtgUTdK2XVzdRWlo6f/78hISETZs2ff7551oao0lBQUIZdhTdTq8H\nD6mFrKys+Pj4qqoqHo+3a9cuNpudn58PwM7OztHR0cPD4/XXX2exWEOGDOmZ4G4AIpEoOTl5\n1KhRHfwcUnsLeVtGU18NLwBAPHAdmP5sTKAQdHypmPoYrow7xmRMjazGStfKWc85ghdBGnYt\nRSeenLCrtXNxcXF1dc2szVQukpSUNH369Pr6eoFAoOGGnVgsZrPZDQ0NXl5eveu+JQkHhgOO\nQEiLzmDNRDmAAIBCAQB0Og/YZGkZx2SS7sahbW+xA9gBnAJ2dvfNvCAXL15ctmwZk8mMi4sb\nMWJEb6tDQdFVKMOOohvRkOChTlBbW6s8UX306FFGRkZ1dTUA0hvHYrH+85//sFgsf3//nq9F\nLBAIoqKizp07d/XqVbFYvGrVqvXr1z/XDyoUCtlstlgsVmMVaC99Lx8Dn0xRJhwBOnAdmAsE\nPJP2Y/TLRW4HlzrPOw9gVPbf6Yc1shqhQmhEN2opqkLV6WGnbc3+0a4tMzNz6tSpAQEBt27d\n6tJddT/ko46RkVFgYKAmPOrIgIvAegBAMPAxcBV4qw1RVovLOaam0YAyHs0aqOoJrdWAUChc\nu3bt0aNH58+ff/jwYU34WVBQdB3KsKPoLjQkeKgjqJpxbDb74cOHFRUVurq6zs7OAwcOdHBw\nGDt27MSJE4cOHdqLfqC6urrIyMiIiIjr16/T6XSFQiEWiwEcOHDgxIkT0dHR7RRlULaQ9/Pz\nU2OzUR2aTrhb+Kz8WWwRG/pAA9DUWOADmw8sdCw6uI6MkF3gXQizD9vZ75k3J1mYHMgJjOZH\nT2dOJ0U7HHaQ7sZqm+rZ4tnxivgZz5q/A0B+fv7kyZPHjBmzdevWnmlu0Tnkcnlubm5ZWRnp\nbtSQR50YoGVnsLdaE/UHnp2vu7pixw7Y2ACgA5MBDgAgEVjbS3fxoiQnJ8+bN6+6uvqXX355\n6623elsdCgq1QRl2FOqHIIinT59qSPBQS0pLS5U2XH5+fnp6elVVFYPBcHJyYrFYAQEBCxYs\n8PHx8fLyKi0t7fWyLFwu98qVK+Hh4Tdu3DAyMgoJCTl16tTx48ejo6OVc+rr6xcvXqxs4KGK\nsiyLu7t7dzQb9TbwTvNOu1l6c6p4qutsVxM7E2td6zkWc96xfmc3dndwkdj62BpZzQLLBQAa\nGhr4fL5RnZFztvOhR4dSiJSaxzUCPcE7Re+QMZq7du3yZHtG8CJmmD8z7AguMfWtqSwW69y5\nc7m5HfUR9jx8Pp/NZhMEMXToUI0qy3IeQBudwVqK6AABwMAAn31GjowFLAGySPGtpmma1hZM\nFYIg9uzZs2XLlpdffjkuLs7e3r63NaKgUCea9YlL0QcgcxU1J3hI1YzLzMzMyMior69vacb5\n+PgYGBgorxIIBJmZmXK5vLfcjdXV1VFRUeHh4devXzczM5s2bVp4ePhrr72mp6enUCjeeeed\nZvMfP35cWlra7ECWy+VyOBxdXd3AwEDjfxaSVQsJDQnby7dnNGYQ3xEW/SwennhobPiPXRQK\nRXl5eV0TPB6Px+PV1dXx+fzKysqTJ09eu3atrq7uYdVD/Tr9UYJRdXV1qh3Qn+g9uWt6V99Y\n/5rhNXNzczqdHh0dvWvXrlCL0D2Ve8SEWJ+mL6wTNq5stLS0vHDhgsZ2myAIori4OD8/X11V\noNWIDLgAhKmEviUDgUA0MP2fIoVCcamkZIazs5lCwW96znEEDjddKAG+a3odCoT22D28CE+f\nPp07d25iYuLGjRu3bNnS2+pQUKgfyrCjUCe9HjzUzIxLS0sTCAR6enoeHh4+Pj4TJ05cvXo1\ni8Xy8vJq58NVWZbF09Ozh8uykK29xowZc+fOHQcHhzfeeOOPP/4YM2ZMR0wB1XO99suydJrG\nxsbaJu6W3d3I2Sjny1EDnAZGYMTCEa4iV+WEqqoqmUym2n/JwMDAogmpVEoQhK2trbOz81iL\nsRYtMDQ0NDU1zc7Orq6uJsuyXLt2bfbs2QA2O2ze7LCZfLtOzj/pq+8bFRXV88GOHYSsAi0Q\nCFgslq2t7fMv6FligRpggcpIAOAJRACmKiI+n5+VlWWvUAzs39+fTp8APATCAVMgHuABBcAX\nwEDNDrA7f/78u+++a29vf//+/SFDhvS2OhQU3cK/xbCrq6urqqpyc3PT0j4Hmo9MJsvLy+vJ\n4CGpVErW/lU24+JwOGKx2MTExNvb28fHZ/r06Rs2bGCxWK6urh38uUskkqysLD6f38NlWQoL\nCy9duhQeHp6QkMBkMhctWvTVV1+NGjWqVbXpdPrYsWOvXPlHg4BBgwYpTShlWRY/Pz/Lpj6e\nzyUzM/PPP/+sU4H0rikRif4uZEGn03VMdeQmcpgA1YAxYI5MncwpflNszW2ZTKaFhYWBgQGd\nTnd3d2cymUwms1l4oqen55IlS5YvX96WPrW1tYmJie2UZZFIJDNmzKiqqrp9+7aFRUfj+XqY\nyspKsizL8OHDNdOheB4IAjz/ORgK7AEYQBAwiCBKVCIrFtDpe4AzgD7wBbAJ+AooBfyBj4G3\nmoLzNA2BQLBy5cozZ84sWLDgyJEjqu55Coo+Rt807JYtWzZ//vxXXnkFQHV19dtvv3358mUA\nTCbzq6++WrFiRW8r2NfogeAhgiCUrjiSnJwcqVTKZDJJM448UfX29nZxcencFsqyLD3mbszP\nz4+MjAwPD79z546rq+t//vOfXbt2jR49+rlm8aFDh1JTU58+fRbIbmZmdurUKfJ1aWlpbm6u\npaXli1aB3rVrV3R0tLe3N2mH2draDhw4kDTRmE2YmZmRL0xNTe0f2ldIKwDgFWArMB4EiNcH\nvT7aZHQn3gpVOlKWRS6Xz5s3j81mx8fHkzFSckK+p2LPvsf7AAzjDNuIjSttVnZRk65AVoGu\nrKzUqDyJlhxpbXAzsBkAIBKJ0v4ZWaEUATAHfmhx7fl2t+uZtmDNSEpKmjt3bkNDw5UrV7re\njHXNmjW6urp79uxRi24UFGqnbxp2x44dCwwMJA275cuXJyQk7N+/38vLKyEh4aOPPrKxsZk1\na1Zv69hH6LHgoaioqJCQEEtLSxaLxWKxli1bxmKxvL291ZIQIJfL8/Pze6wsS2ZmZnh4eHh4\nOJvNZrFYs2fP/u677wICAp5/ZRMuLi4cDufUqVPZ2dlOTk4LFy60s7NTVoF2c3PrxNtCEMQb\nb7zx448/dnC+I8PxmWH3I+D+bLC/Xld/HEKhMDMzU1kFui1Vly1bdvv27du3byvt+B3lO7aV\nbYMUAEokJe8Xvw+gt2y7urq6rKwsGo0WGBiosWfEz4V0NxobG2tIWZZOQBDE9u3bv/jiiwkT\nJpw5c6aLpcIJgrh+/frRo0cp7wCFJtM3DTsltbW1Fy5ciIyMDAkJAfDaa6/J5fK9e/dShp1a\n6MngoYaGBjs7u/LycrWv3GO5iqQ99+uvv+bk5JD23Jw5c7y8vDq3momJyfvvv6/8lsvlZmVl\nGRgY9FgV6HkW81KEKcDfx3ijTUa76HXSXUqiLMsyZMiQdsqyrF279vfff79586by3VNAsa9i\nX7Npeyr29Lxhp3Q3amCeRMfp+ciK7qC4uHju3LlpaWk7d+789NNPu7jaxYsXFy5cWF9frxbd\nKCi6jz5u2BUUFAAYP368cuTll18+cOBA72nUd9D84KHnQrobCwoKurUsS3x8/G+//XbhwoXS\n0tKRI0e+9957M2bM6PR5cUuUVaDVmCcRVRcVnBcczAy+4n6l5TiAYGbwZffLT6RPvq/6XtlV\nLKEhgZZCM6YbBxoF2jJs04RpOT7PKrA8bHzol+X3Vb+vNthvIEeqZFUbSzcux7MYu46XZQkL\nCzt69Ogff/wxbNgw5WCJpKRB0QAA+gAdYABAoaSwUdFoSO85V1NjY2NWVpZQKPT19bW2tu6x\nfdUL+agDQNPKsrwQJ06cWLNmjbOz8/379318fLq+4Lhx4+7evQtg6tSpXV+NgqL76OOGnaur\nK4PBKCkp8fR85lV4+PCh9v6p0hDU1UK+d+mBsiwNDQ379+/fvHmzn5/f+vXrZ86cqZoiqha6\nqQp0OC/cmG58g3+jTl7H1GGqjuvSdGWE7Ab/Rr28/rv+322028gRcWYXzO6v1z9blC0jZJ/a\nffpd1XcKkYIn45FNwADE1scCiKmPIQ27AkkBT84brj+cXJZ0N+rr6wcFBbVfAloqle7duzcy\nMrJZNeZ+jH6GdMNGRSP6A9ee9cNyZDj2pFWndDcOHz5cjVWge5K+4W7k8XjvvvtuRETEBx98\nsHfvXnU9sJmbm5P/xLT0OZbi30OfTRHdsmXLa6+9tmXLFjc3t48++ogcjImJOXjw4JQpU3pX\nN62GzFWsr68PCAhwdnbWUquusrIyKSmJRqMNHz68m6y69PR0T0/PzZs3A8jIyDh58qTaT0hL\nSkpSUlJMTEyCgoLUaNVJCekl3qUw+zACRGRdZLNxBhg6NB055KTInmE/znScLk03R5Sz2X4z\nADd9t0j3SJ6MByBRmEheG9sQO9lscoIggSvnRtVFLSpcRIDw0PdQKBSPHz/OyMiwtbUdNmxY\n+1ZdbGysVCo9c+bM5MmTm4l0abpvW7397JsmT9m71u+q4/14PlKp9OHDh9nZ2W5ubu0fImsm\nUQANmKZQkBk5vr6+3t7epFVHikJaXCIE1gPDARNgELBGY6qc3Lp1y8/P76+//rp69er+/fs1\nrTo6BUUP0Dd/6SMiInJzc3NzczMzM4VCYVxcHDkeEhLi6+v75Zdf9q56WgpBEA8fPqypqTEx\nMbGwsKioqKioqOix3SsqKuRyeV5eXhfXUSgUtbW1AoGATO0sKSlRi3otmT17dmlpqfLb5OTk\n5cuXf/XVV2pZXC6XV1dXS6VSsqpIUVFR19dsaGggI6tuy27z5LxXGl4J0Ak4/fT0yNqR5ARy\nHMBQ3aGFikJVUaO8sVHRqLzkM4PPAPSj9YsuiR6kP0gBRSw/9pDRob8Uf73Nfvue7F4DGgCY\n15vfuXNHoVDY2trS6XQycKItrl+//u23365ZsyYgIKDVX4MVxIo6vbpfJL/IIden6S/RW/KW\n4K2u/8I8F5FIVFNTQ6fTbW1txWJxD+yodo7b2hoaG98A1shkLra2ZHUbVdEfNFpaYaGpQkEO\nVurqLnBw0AWW8XgeEskTBuP/zM0j6fTwkhKzpjmqlDAYO6ysHhga6hHEOKFwfXW1eWvTOseV\nK1eysrIAEASRkpKSkpLi5uY2c+bMhISEoKCgjpf7aUZMTMzEiRPJ1xs2bFDXv1wKih6gbxp2\nM2bMUP2WbKkJ4MqVK+PHj6dK2XUCsoW8QCAwMTFhMBgNDQ09rEBjYyNBEF2MXJbJZAKBAICZ\nmRmdTu++OOjy8vLHjx83G4yLi1PLjhKJRCgU0ul0U1NThUKhrruQSqU6Ojr19fWXicu+NF+j\nBqNRxKhDxKGK+gojGAG4TFw2h3l/Wv9x8nEHiANxijilSKQQ2cKW28BlEawzxJkGWcObtDeF\nhPCB6EG9pD6LyBITYs9Gz6EYaiOzuUa7tlWx9RIu6fH1AJiamkokEolE0o5u9+7dW7NmzapV\nq9qPXl+LtR/QP6hEpT3sdaW6QqlQLe9MWxAEIRKJRCKRvr6+oaGhWCxW/qnRIqTAHy4uoYWF\nJwcMSLSzs6mtVYpkNNoNV9d3Kir+z97+Kp0e3GTtfeXsrC+THc/N1VcoALgAwyorZ3l6HjMw\nWNbiYU8BrBg0yEom+yknR6ij85Wj4yorq+/z89Wlf3p6OpvNJk1qoVA4cOBAJyenR48e6ejo\n1NbWdtqwGzlyJIdD9r9FpxehoOgdiH8ZIpGooaGhExcuXrx48eLFatdHKygrK4uLi0tLSxOL\nxb2lw7lz5+zs7Dp9uUKhyM/Pj42NZbPZMplMjYq1CulCaIa5uflzL7x69SqA4ODgtkTjxo2L\njY3Nz89XKBQEQZAxZywWy9DQ0NXVddmyZaWlpZ3TOTQ0dNmyZVKF1DLd8uvyrwmC4DRykIxz\n3HMEQZDjRqlGX5d/TY6riugpdHKE/KKn0A9UHjhaddQy3ZIgiL3leyc9nkQQxJ7yPSM5I8Vi\ncUBKAM2F9vXXX3dEsYSEBGNj4y1btnTuvrqJhoaGxMTE+Pj46urq3tal83C53H2ZmTSCyG5o\nGE8Qr/9Teo0gaARRQhCqogqCoBPEny2WSiGIO61twSEIEERx07f3CAIEwVXbHRAEQRw9etTU\n1DQoKCgvL0+tC7eOh4fHJ5980gMbUVB0jn+d72rx4sUdLyuVk5PzYxM5OTnNvu1WPTUEbQ8e\nIhGJRC2Dh7qVQYMGtazBNnLkyOdeGB4ebmxsfOPGDeVZmJJffvnF0NAwISHB3d19wIABZHTj\nZ599tm/fvu3bt2dmZp4+fTovLy84OFgqlbZcOTExccyYMaampk5OTh9//HFbHrKY+hiujDvG\nZAyZ9+Cs5xzBi1COCxVCP0M/Gmj99fob0Y2UIgWh+NTu02q/6iq/qv56/QfqD1xVvIor53Jl\n3Mfixzcbbo4zGQfgVdNXk4RJtxJvlRAldNA7EheYnp4eHBy8ZMmSrVu3Pndyj1FaWpqcnGxo\naDh8+PC2iu1pOARBFBQUpKen33F0DCKIQcbGIUA0oOqKDweGA46AqogNEMCoFgsOBVr9/dYD\n9gLKPOc6QI1huVwud/r06e+9997SpUvv3r3r5uamvrUpKLSW3rYse5ojR4688847HZx84sQJ\nd3d3Nzc3Nzc3U1NTU1NT8rW7u/uJEye6U02NgMvlJiQk3L9/v76+vrd16bzHjnQ3pqamikQi\ntWvVDuHh4aoWpJmZGYfDaf8SiURiYWHx5ZdfMhiMM2fOKMfJgiampqYfffRRM5Gtre1PP/2k\n/JbH4+no6Ny/f7/Zynw+39bW9pNPPsnJyTl//ryTk9O2bduazSE9du8UvaPqe0MyjFONBXJB\ny/F2RMapxsOyhr2Z/6ZZqhk5opeqJ5fLs3OyzR6YHcg6QE+h67roHjlypP03JDs7287ObsGC\nBXK5vP2ZPYZYLE5PT79161ZxcfHzZ2sqAoEgKSkpPj6+vLrakiBIxynpWjvXNEdKEK2KzhKE\nmcpS5wkCTV/Wz9v3CUH4EESomu7izz//dHR0dHFx+euvv9S0ZIegPHYUGs6/zrDrNP+qo1i5\nXJ6bmxsbG5uTk6Mhn6mdMOykUmlmZuatW7eKiorIg8seJiUlZcWKFSEhIevXr3/69Olz51+7\ndo1Go5WUlIwfP/7115+dfTU2NqakpOzZs6elSKFQGBgYrFu3TnURDodTV1fXbOWbN28aGRkp\nf5SbNm167bXXms0JDQ19e9nbVulWYU/DlIMPBA+QjI0lG5EMnRQdpYgcV4p0U3QPVx1WFZmm\nmr7/5P0ZeTMCswKNU43jquKQjJg7Mf/l/DcwK5CRwmC4Mto37EpKShwdHWfMmNEDR+cdpKam\nJj4+PikpSSAQ9LYunUc1siKaIEAQdwiimiCqCMKZIGY3TWtLlEAQIAhe0zQ+QXAIgkMQp9s1\n7KQEsZcgmASxkiCkXb4FiUSyevVqOp0+ffr0lr/tFBT/cvpm8oQqcrmcy+VaWFhQee8dRNlC\nvp2eTj2JVCr97rvvDh06VFVVFRwcvHXr1qCgoOdeVVtbm5WV1U4L+R5g6NChP/zQspdmm4SH\nhw8fPtzR0TEkJCQsLKyhoUEoFJJVoB89etRMZGJiQqPRVqxYsWfPntu3b4eGhk6cONHb21tZ\nslGVV155hcvl0ul0Ho+XlZUVExPz+uuvt5xWJimrkdUssFygHAkwCvA08DzJPQlATshfZ76u\nOl4mLSNFMkL2RPwkT5wHwJhuTAOtXlHvrOfsoe+xpmTNK3qv5HJyYYSAgIAp/Ckrnqzw1PfM\nx3PC52/fvt3Y2PjLL79oQjW17qgC3fO0rAJN9nVVPVetAYSAUdsiT4AOxABkhpppU+eRW03T\nzgLzAQAGQCMAoAR4A5ACvwMTunwXHA5nzpw5RUVFp06dmj9/fpfXo6Doa2jln6eOkJ6evmzZ\nMgcHBz09PVtbW319fQcHh7fffjsjI6O3VdNoNDB4aPXq1evWrSO9blFRUWPGjElLS2tnPtEU\nPGRlZdWLVt2LIpPJLl68SCZ0BwcHi0SiI0eOsNns/v37+/j4REZGqorIRAoA33zzTVRUlK+v\n7zfffMNisVxdXVs1Jel0OllV1dvbe9SoUfr6+uvWrWs5LV+SH2QU5GnwD9NwjvmcMmkZaa5x\nxBzleKhFqJgQl0nLHBmOAL6s+NIj08Mj08M3y5cGGh30byu/9dP1A+DV4OXq6gpAV1f3VdNX\nAQwyGPTcN4QgCAMDA00oBisQCJKTk6urq/39/QcOHKilVl1tbW1SUlJjY2NAQABp1cmAC0AY\nQDR9PQAEQHS7IitgEbAVUE1OlgDfNb0ObbqEtOrkwDSABdxXh1V38ODBYcOGGRgYpKamUlYd\nBUWraOVfqOcSHx8/cuTI+Pj4xYsX//DDD7/++usPP/zwzjvvJCcnjxgxgmwLQ9EMiUSSkZHx\n+PFjNzc3X19fBoPR2xoBwNOnT//v//5PdUQsFu/cubOt+UKhMDk5ubS0dPDgwZ6enprg7Okg\nMTExXC53zJgxNTU1DAbDzs7u2rVrAQEBAwYMuHnzplJkZWXl7OwcERGhvHDq1KnHjh0jbVkn\nJ6f333//559/bmuXx48fx8fH8/n8uXPntpSOMRmT6JXYbHCEyQgaaNk+2eNMx5HZEiSbHTZf\ndLtIA+2+1/3xpuNfN3+dGEYQwwjZUJmZjlm4W7gxYXzs8bFkJH875FvlQ8JA/YHEMOKy++UB\negM690ZF1UXRUmgheS2L5rYu8mZ7N2sje7XuKi2FpuyE1j4lJSUPHjwwNDQMDAxUYxXonoR0\nN6anp9vY2AQGBiofdWKBGmCByswAwBOIaFcEYAcgAEYAZ4BU4HdgJDCwjd3/ADjAYuCRShym\n7MXvorq6Ojg4+JNPPlm9enVCQgL5qEBBQdGSvnk6uWnTpqlTp/7222/NPte3b9/+7rvvbty4\n8datW72kmoai2kK+/er/PUyrHta23K7Knk5+fn5al8B7/vx5AKqdshoaGshf4JaimpoaoVBY\nXFx88uRJZelUPz+/uLg4T09PMlaP9GcYGBg0NjaWlJSIxWJ3d3cTE5PRo0fv3r17+vTpYrFY\n6Q9Lb0xPEiaJZKINTzessl3Vj9FPuVd4bXiQXhCjljG8avi3ed9eyL5Qxi37ufDn7Jps6Uip\nvZe9Cd0khBkSVhrWoGgwoT8zGqqeVi3nLw8zCtvsvdnQ0PCZ90YdtNruTAHFw8aH31V9Z0Q3\natkJrXNIJBIyYHHgwIH9+vV7/gUaSTuRFeeBoKaDVCWhwB6A0bZIDDgCycAm4CugFPAHPgbe\nAt5qTYEMQNrCV1cNvNBxwKVLl5YvX25sbBwbG9usmxwFBUVzejvIr1swMzP7/fffWxUlJCQw\nmcxOrNlXkyfkcnlOTo5G5Umo0qoNN378+GbTSHej9uYqSqVSKyur9evXJycn//XXX1VVVQ8e\nPAAQERFBisLCVBIamkRkkwM2m6261NSpU1etWtVs/UOHDvn7+yu/vXz5spGRUX5+flpaWmxs\n7Pqf19O30uENeAFzwAhhjJs27uWXX/bx8XF0dKQZ/KM8ha6ero6VDlwBE2ABkIzR2aMzhZnK\nsnZ1dXUmD0z23tvL4/H+m/vfiTkTCYJIE6YhGQ3yv0tIDho0qP3kibNnz/br16/ZoEQhsUiz\n+LLsS0YK40zNs+zgHFFOQFYAYoEroCfT6cn00zWnlZd4ZXrtLd+rusgV3hUkQ6ZoLyejsrLy\nr7/+evDggVAobGeahvP06dO4uLiHDx9KJJLe1qWTiMViMk/izTff5PP5va0OBYUW0Dc9du7u\n7nfv3n3jjTdaiu7cuePh4dHzKmkmAoEgMzNTLpert4W8GmGxWP7+/s2C6podI3K5XA6Ho6ur\nGxgYaGxs3LMKqofY2NiamhpfX18dHZ2goCB9fX1ra2tPT8+IiAhTU9OampoFC1QSGgICSNGM\nGTNmzJgRHBy8bdu2IUOGiESiixcv3rx5c/v27QDkhFyH9sxjHRwcvG7duq+//nrOnDk7d+48\nduwYAGXRL5oJjTAjIAEMgApITaWFtoVLRyy1sLAo1i/e3bj7sM9hXxtfpjlzWuU0C2OLjMYM\nAHjWgRkJDQnJjclkxbuR9SPz8/NpZrRBgwYxmcxvDb9lsVm/835313dXyxsVUx/Dk/MWWi28\nUX8jghcRVBWUcCfh02uf1qTUIB+whiJaAWBfxT7VFJAXQpkn4eTk5ObmpqXdkEl3Y21trTJP\nQhtJTU2dO3duZWXl2bNn58yZ09vqUFBoB33TsPvwww+XLl369OnTmTNnurq6mpmZ1dfXFxcX\nR0ZGHj9+/MSJE72toEZQUlKSl5dnbW09aNAgDYmoa4mOjk54ePi8efOSkpIA6OnpffLJJ8uW\nLSOlCoWioKCguLi4x3IVo6KigoODg4ODr1yV4w3pAAAgAElEQVS50hGRTCb77rvvjh8/XlBQ\nYGdnN2nSpG3btjk4OKheKJPJjh496uXlNXbsWCcnJ6UlERoaumfPHgaDERQU1CzXlRSJxeLT\np0/v27fvyy+/LCoqMjc39/f3j4mJyXXPXcBekCPKsWPYvWf93gb7Da6urhcuXNi0adP27dvp\ndLqzs/OuXbvq6upKS0vTc9Mvp19GISAE6MDvgA5qdWo/G/IZDbRlT5ahGu/hPciAaoCOMlHZ\nMyV0gKZIh4WFCwFUSaqWCZYNYQ3RKdMhfxYD9Aass1u3pmTNrwN+Vcv7f678nDfH++yfZytv\nVt5KvHWx9qK1nXWNTw2mAwLgt2fTHooeqp4LV8uryYxdklJpacuVSfh8PukBHTp0KJPZ1cPc\n3kJjIyteiIMHD3766afDhg27ceOGk5NTb6tDQaE99LbLsLs4c+bM4MGDm93s4MGDf/75584t\n2JeOYsVicVpa2u3btztSXE0TkMvlmZmZcXFxVVVVykFlT6eampoe02Tx4sXGxsZ6eno8Hq8j\novXr1zs4OJw/fz4/P//27dsTJkwYOnSo6rmYsgr0o0ePpk+fbmFhYW9vv3Tp0k7f1Pna883K\nBb+f835ycvLZs2fDwsJmzpxpbm5OWl1mZmZBQUGzF8zGh8A+4H/ApmeXOGQ4EAQhVUhbLWv3\n7OsScOPZ628Lvj0afxTJOFd5jiAI8zTzK7wr5CVCudDloUtIbkinj2LLysoiIiLWrl07YuQI\nMEDXofv5+c1dPhfbcSDlwB91fzzT5wQQ8Pddk+fCBEF4ZXq1LK3c8ihWoVAUFxffunXr0aNH\nUmnXS631DhoeWdFBnj59+sorr+jr62/durVXKlBSUGg1fdawI3ny5Mm9e/eioqLu3bv35MmT\nrizVZww7Knio07TVGaIdUTudIZTtazkcjkQiCQgImDZt2qNHj+7evRsQEDBlypTOKRmUFfTM\ndlkBjAL6PWvhZGtrO378+Pfee2/r1q2nT59WDUb0Zfs2M3oWFy4mCIK0mTiN/2iY4fLQpVln\nWNNk0/C48Pz8fM9Mz3kF84h/GnaEiq3ZQcNOJpM9evTovffeMzIyYrFYNBqNzPl486M38S2i\ni6OrpdVV0irnh86z82eXS8ppybRm+hulGs3Of1ZqtyMxdmQV6Nu3b5eXl3fubdcEGhoa7t+/\nf+fOndra2t7WpfNERERYW1u7u7u3bKBCQUHREfrmUawSJycnyoevRC6X5+fn943gIR6P5+bm\n1sPBQzExMTweb+HChTdu3IiIiFAto9WqiCAIPp/P4fxd+43JZGZmZjo4OAiFwszMTGWuYnZ2\ndnJycnFxMXlH33///YgRI2pray0sLF5UySxRFgAQwE/AFOBVYABiJ8eOcxzX1iVnXc9OzZ2q\nPKAcajT0m/7fADjPO9+yrN3bVm9/WfGlAgoJIQFgS9huVmyeMmyKiYlJaFnonso9YkLcbP2Z\n5jMnmk78s/7PdtRuaGhIS0tLSEiIj4+/c+cOl8u1sbFxdXVdvnx5QEDASy+9xGAwyHPhKZVT\nUPnsqhpZzUmXk6ttV++v3K+6mlAhjKqLEiqERvTnH0RWVlZmZ2cbGxsHBQUZGBg8d75mooys\n8PT01NJi7EKhcO3atUePHp0/f/6RI0c6/bOQSCR79+49c+bMkydPXF1dFy9eTPbiU6+2FBSa\nS29bllqDtnvs6urq7t69e+fOnZZniFoE2dOpt9yNS5cufemllwiC2Ldvn4GBgWoL3bZEa9as\nAfDSSy8dOHBAmb5KuhvJnk7kSH5+/t69f3uVrl+/TqPRuFxuJ5T0Y/s9c1xFPXNf0ZJpXNlz\nlqqX1/9c8/Ou8l0XeRfbTxcl4Ul553LO/d/t/0vLSutcy69BgwZ9/fXXv/3226pVq0aPHs1g\nMHR1dVks1vLly0+dOlVQUNBsflvnwhG1EY3yRuNUY4cMB6eHTv/J/U+yIFkpItr12JGdGGJj\nY/Pz87X3yE/rIitaJSkpaeDAgZaWlr/99lsXl9qwYYOBgcGXX34ZHR29detWfX39lnniFBR9\nGMqw6yjaa9gpFIqioqLY2Fg2m605bTdfFGXwUG5ubq98BkulUktLy6+//pogCNIJd+7cueeK\nCIKIiop6++23yXqqzs7OYWFh7ZdlefLkiY+PT2hoJ1ulH6g80OxcUnkoqS7IFvJkWZYOzZcL\nNj7d6PrQ1eSBSdDVoE8PfLpgwQLSg2JmZjZx4sQtW7bcuHGjfWO91XNh8vC3HRHRtmHH5XHv\n3r177949rS6i0QciKxQKxdatWxkMxqRJk7p+FC6Xyw0NDTdt2qQc2b59O4PBaGxs7OLKFBTa\nAmXYdRQtNez6RvAQn8+/d+9e7wYPRUdHA7hz5051dXVVVZWzs/Ps2bOfK1Ll9u3bfn5+AFSj\n7lSRSqV79+5lMpkrV67sdPy+glBsK91mmGpI+upCC0JrZep801RbyHfwkjfz30QycBjQB2ig\nDaC9sfgNe3v7bdu2dXzf5UXLg7KCmg1uL91umma6qHBRWyKRQtTSsIusjUQyYmJjtPpRRyaT\n9QF3Y3Fx8ZgxY4yMjMjnIrUs6OXlFR8frxw5c+YMgKKiIrWsT0Gh+dAIguitU2DtYsmSJQC0\nq1QKGTxkamrq7e2tCT03O4eGBA8tW7aMLP+mxNjYuLKy0sjIqC2RsjOEsjSag4NDSEjI8OHD\np02bptoZAkBJSckbb7whlUq/+eabCRO62lRTQkjyxfn9GP3MdMy6uJSSli3kOwJHxPFmewPA\nZeAH4DfADPMs5z147cHHH3+8fPlydanXQUQiEZvNFgqFXl5e1tbWPby7ulCWZWGxWNpbluX0\n6dOrVq3q37//r7/+2rKIgVpobGycMmVKaWlpdna2ljb5paB4Uahf9L6JTCbLysoiW8gPGTJE\nK6y6qKgoGo0WEvJ3o0+xWGxtbe3k5DRu3DhfX19zc/Nx48alpKQoJ/D5/NWrV/v7+5uYmAwZ\nMqSZdaVGZDLZhQsXmrV/EAgE0dHR7YgYDMauXbtSUlKSk5Orqqr8/f09PT0HDhxobW2tPGkl\nrTq5XD5t2jQWi3X//v2uW3UA9Gh6XgZearTqWraQ7yCZosxnrxiAEWAGAI8aH6lLsReivLw8\nMTGRTqcHBQVpqVVHEMSTJ09SUlKYTObw4cO11KoTCASLFi1aunTpnDlzUlJSusmqS01NHTt2\nbGpq6unTpymrjuLfg1YmT1G0D5/PT01NVSgUAAoLCwsLC3tbow5x8OBBAwOD69evX7lyRdlA\ngiCIRYsWTZgwgSCIO3fu/Prrr5MnT/7555/19fVra2vXrl3LZDJnzZplY2OTlpb2wQcfpKWl\nzZw5U+26JScn19TUDBo0KDY2Vjno5OT0ww8/5OfntyUKCwsbM2ZMSEjI4sWL3d3d09PT4+Pj\n//zzz+nTp6tOBpCYmJiVlbVkyZKTJ08qB93d3Zs1O+51xGIxWSm641TpVIGsEzwR8Hs2aMw3\n5gq52dnZzd6HnqG2tvbOnTs9v696KS8vLy8v720tXoDdu3eTQQuqHDly5OjRo5cuXVJ9onsh\nYmJiJk6cSL7esGED2TqZy+V+8sknp06d+u9//3v+/HkXF5euaE5BoV1Qhl2fgiCIwsLCoqIi\na2trBwcHLXpIlUql9+7dW7du3a5du0pKSkaNGsXlcu3s7HR1dYcMGfKf//wHwPTp02fMmDFl\nyhQ9PT1/f/8NGzZYWlpGRUWR/si33nrLyclp7969W7ZsUfuJ7alTp4YOHUqqoWT+/PkHDx60\ntbVtS2RgYPDZZ59FRUWdP3++uLiYyWQOHjz48uXLL730UrP14+LiZDLZ2rVrVQdzc3MtLS3V\neyMvikgkKioqkslkTk5OZmad8f/5ED4/lP7wUPIQDMDx2eB7/d/brr/dycnJ399fneq2QUND\nQ1FRkY6OjouLi6GhYQ/s2B3weLzi4mIjIyNnZ2dtLN6xZ8+e5cuXnz9//n//+9+QIUM2bNhA\nVvOh0+kjR47s9LIjR45UVhQi/708fvx43LhxlpaW9+7dCwoKUovyFBTaRM+F82k5mp880djY\nqGwh39u6vDDXrl2j0WglJSVjxowZO3assiyLvb394cOHldNI72NlZWVDQ4OBgUFERITqIjU1\nNVu3btWENBFNyFW8yruKZATnBndQZJFmoUykNU41fiX7lejCaLIK9KXqSy3nj8sZ17KdQ4mk\npOV2uaLcl7NfJieYpJp8W/Et0YHOE128qQOVB8zSzBrljcoq0DKZ7LOnnw14OOBFN+11pFJp\nZmamtudJ5Obmkt2cDx061H27KBQKHx+fKVOmUGmwFP9aKI9dH6G8vDwnJ4dsEqUVEXXNCA8P\nHz58uFwuHzx48E8//aQaEl5ZWZmXl0cQRHV19Y4dO1auXGljY/Pw4UORSNTsQd/S0nLLli29\nof7faE4L+XBeuDHd+Ab/Rp28jqnDfK5IRIj0aHoEiIRBCX/W/fl1xdeh9aH3BtzzcPLYV7RP\ndX6BpOCj4o/iG+INaYbTmNM+tftUuYidrl1LTdz13f8a9Fe8IH5ewTwOi9ORosFdv6mZ5jNX\nF68+knIkUBxIVoEGEFkXOdNC/Sf13QqZJ0Gj0QICAkxNTXtbnU5y/PjxNWvWuLi4JCYmslis\n7tvozp07mZmZkydPPnv2rOr4vHnztNdZS0HxQmjNUR1FW8hkMjabnZ2d7erqqi15Es0g8w9G\njBhRVFQUGhoqFotVY3E+//xzDw+PgQMHjhw58vr1615eXgCKi4vpdLqdXStmRC9SX1+flJRU\nXV3t7+/v7u7ei1adlJBe4l0Ksw8jQETWRT5XJCWkYoV4mtk0AMk1yWMLxn6j+KaGVsOz4jWb\nr4Bidv5sGWRDjYZON59eKCncUrbF08CT/NKltfKsKFAIouqiwp6G6dP0u2LVvdBN0Wvog+WD\nb+ncCgoKIq26IklRemP6THOtMewIgigoKCDzJAIDA7XUquPxeG+99dby5cuXLFmSkpLSrVYd\ngMzMTADffvvtO/+Ez+d3674UFJoDZdhpN7W1tYmJiQ0NDQEBAc7OzlraJSwiIqK2tnbYsGEe\nHh6DBg1ydnaOiIhQSpVHsXw+f+3atatWrTpz5oyNjY1CoeByuc2W4vP5YnHzllY9Q0lJSUpK\niomJSVBQkLm5udrXj6qLoqXQQvJaiTFvKYqpj6mV124q3SQlpAsKF9BSaOTXU+nTmPoYnpy3\n0GrhyyYvR/AilPMVULxk/FKATsDZ8rO2trbjfcYDcNFzaTb/sehxsjD5iPMRY7qxA8Phe6fv\no/nRtfLadjTfVb7r3SfvPmx82MV3oFXNW4rCueEPHz7Mzs6eZT7rL52/dBjPElAi6yL7Mfq9\nZNw8wFEzEYlEqampT58+9fX19fb21rQ0mg4SGxs7ePDg+Pj4q1ev7t+/vwfKFS1fvrzVwylN\newikoOg+KMNOWyGf5tPT062srAICAkxMTHpbo85AuhvJCqKLFi3q16+fjY3NkydPoqKihEJh\ns8mmpqa7d+8ODAy8cuUK6Q9LTk5WnSAUCq2trSMjI9GzkJ/BBQUFXl5ePj4+3fTppXrU+FxR\neG24mY7ZQsuF6+3X69P1U7xSOCwOh8Wx07ULrw0fbjzckeEYwgyJ5kc3KBoKJAXvPnkXwI7S\nHdXS6kRGYolDyQdPP1hps9JG16bZfBlkex339mf0B8CT8zgiDg20AnFBnjivpWIkO/rtKB5c\n/G3/b7v6DrTQvKXoVb1Xo/nRXBE3MDDwbde3a2W1cQ1x5JzIusgZ5jNo0IKHnz5QlkUqlW7c\nuHHy5MnDhg1js9mvvfZab2tEQfFvgTLstBKhUJicnFxaWjp48GBPT08tfZqvq6t78OABj8e7\ne/duq3XgWr3K0dHRxsbG0tLyzTff/OKLL2QymVIUHh6uUCjGjBnTU3cAAFVVVQ8ePCAIIjAw\nsPu8Ai90CikjZBfrLlrrWlvqWi6xXCJWiHPEOeRRKYCLdRdnmM8AEGwWLFKIrtRdmZU/q0xa\nZgADIYS5tFwJIZmQM+E6/7qXgRe5lOr8R42PPrb7mNz6ZM3JxUWLCRABnACPTI+TNSe76faV\nN6WqydW6q6qiN5hv5OXlORc5SyApcy8zNjbux+g32mT077zfAfDl/Fv1t8jLNZk+EFkBICcn\n56WXXjp06NDBgwcvXbqkpcX2KCi0FMqw0z7Ky8sfPHjAYDCUwUNaB+luTE1NZTKZ9fX1XC53\nwYIFSmlAQICnp6fyNJZMnsjLy+NwOIcPH75x48aKFSsAfPHFF/n5+ZMnT46MjExPTz98+PDq\n1avXr1/fY2cuMpksOzs7MzPT0dFx6NCh3Rqa3cFTSFIUUx/DlXHNdcxFCpGVrpWznrPqkStX\nxh1jMqZGVkOKTlSfSBGmSAmpoY7hPsd90R7RAIKZwWtt164qXrWpdFOz+eRSMkJWLCnWp+mv\ntFkpHSolhhHEMGK17epufQda1UQpsimxyS7PHuE9wlnP+fe630nRmxZvXuBdIEBc51830zEb\nazK2+zTsOn0jsuLYsWMBAQEMBiMjI+O9997rbXUoKP51UFmx2kTnejppGsqeTr6+vtbW1vv3\n7w8KCvL09FSdExoaumfPHjJa7vPPP//8888B6OjovPLKK7du3fLx8QHg7u6enJy8cePGdevW\nlZSUuLu7f/nllz32QaLs6TR06NAecEionkKGlYY1KBpM6CZtic7zzgNIEaakCFMOVx8GUCWr\netT4yEnPiRSNyh6lXLlCXMGisdhg18prP376zBUXWx/724DfYutjSeNJdX6NrOax+PG8gnkV\nsooQZsj3Tt83U/Us9+z8wvkADOgGjf6N6noHWmpeI6sRKoRGdKPTpacBvE1/G4ZA8T9EZG7s\nPcG9y3WX/8v8rw5NQ33bRFMFSgcHBw8PDy31wdfU1CxevDg6Ovr999/ft2+flt4FBYW2Q3ns\ntAYul0v2dAoMDNReq44MHtLR0VEGDx05ciQxMbHZtM2bN/P5fH19/bKyMuURrUwmi4mJUa04\namdnd/z4cQ6H09DQkJ6evnLlyh6oyUz0eE+n555Cqoou8y5f4F0Isw8bZzpOuUKjonFw1uDj\n1cdJETGMkPvLc0xzjgiOiGniYp3iMPswe4b9V/2+8jHwmWo2VagQRvOj+zH6lUpLyfnk1wOv\nBwKFYNLjSSwD1jCjYU56Ts1UjaqLml84P5gZTAwjmll1GY0ZueLcZskfkx5PUiZ26KXq+bB9\nTnNPt/oOKDVX1eQK90pqRuoVwZUPjT5sJormRwNwYDi8bPLy/2r/F8WP0thCJ0Kh8MGDB9oe\nWXHjxo0hQ4Y8evTo1q1b+/fv19K7oKDoA1CGnRZAlkbLyMiwsbEhK3z2tkadQSaTZWZmksFD\nfn5+Who8ROZJFBUVsVisHstVfO4ppKroSPWRGlnNAssFAD6y/Yi0dTwNPOdZzvM19CVFfD4/\nMTGxurr6Lb+3+jP618vr51nMEygE28q2+Rv57++/f4D+gF0Vu67zr4sUInIpkgCjgP56/Yul\nxYutFgvkgkpZZbIwOVmYLCOeRTq2k+GRKEykg95StNByIZnYcc/z3lTm1EWFi/5q+KvZtbH1\nscqbUmriwfA4VnDsrvQun8Z/3/V9VZGngafyLZptMftw1WEZIXvV9NWu/BS6CTKyQk9PT3sj\nK6RS6UcffTRlypSAgID09PTRo0f3tkYUFP9qqKNYTUcgELDZbIlE4ufn1+sNpjpNbW1tVlaW\nrq6u9ibwAqisrMzOzjY1NR0+fHhPGqbtnEK2FJVKS0nLRnWFUIvQPZV7GDRGkFHQHyV/rOKv\ngh4M6AaNzEZ7hn2ptHRh0cJGRaOMkJ3lnj3LPUsH/YnkyRSzKZXSymZLeet7l0hKJjyeACBZ\nmPwL9xcA1X7VVrpWyjSOLWVbIusi51vOV14lJaSpwlQLHQu+gt9MZKlrqdximNGwa3XXrtRd\nGWPyjwyY87zzQUZBymnko86Y+jG/Gf7mYOEQJApq9X7FhFifpk+exs5iztKj6b34e9+N9I3I\nCg6HM2fOnKKiotOnT4eGhva2OhQUFJRhp9mUlpaSDUP9/f21sTsk+krwkEwmy8nJqaysdHFx\ncXV17cmoduUp5M5+O8mRZGFyICcwmh89nTm9VdEm+03NFtnssHmzw2aRSJSVldXQ0FA+qFyZ\nYnLP895QzlAfA58EzwR92vOt1T8G/tGWSJnGcaP+RgQvQtV6i6mPESqE2YOzFxQuaCZqhhHd\nSKhoXunmiPMR5WuBQJCZmSmXy79hfXPc/Hiri5D3S752YDjIh8mfe189DJfLzcrKYjAY2uuD\nB3Dw4MH169cPGTIkNTXV1dW1t9WhoKAAqKNYjUUikWRkZOTm5np4ePj6+mqpVdc3gofq6uqS\nkpLq6+sDAwMHDBjQw7mKrZ5CkkeN7YharlNZWZmUlEQQRFBQkGri8B/1f3BEnMVWix81PiLP\nVVWPVl+IjtSZaylSIlQIf6r5KVmYPN50fFtblJSUPHjwwNjYuJuqQPcAysgKW1tb7bXqysrK\nXn311U8++WT16tXx8fGds+r4fP6HH344YMAAExOTYcOGnTt3Tt1qUlD8G6E8dppIdXU1h8Mx\nNDQMCgrS3v6GpLvRwsKCcjd2hWankCSqR6ttnUIqR2Qy2ePHjysqKlp1N2Y0ZkgJKXm0qoQ8\nWn0hPck0jvV26wEEmwV/XPLx1bqrb1m81ZZIeeH+yv37K/eTr3VoOmvt1rZabU4sFrPZ7IaG\nBk9PT3t7+xfSTXMgIyukUqm/v7+WGqYALl68uHz5clNT07i4uBEjRnR6nXfeeef27ds7duxw\ndnY+f/783LlzzczMpk2bpkZVKSj+hdAIguhtHbSDJUuWADhx4kS37qI5LeS7gkQiyc7O1vbg\nIaFQyGazxWKxp6enllb/h0oLeRaL1a3NRq/zr0/JnXLH884g/UFkyeKXjF/6bcBvbYnSp6R/\n/PHH4ePD+zH6kWfHNBrNieFkSG/lSaaqqio7O9vQ0JDFYmnvo05JSUleXp6VlZWnp6eWPuo0\nNjauWbPm6NGj8+fPP3z4cFd+Flwu18rK6uTJk4v+v707j4ui/v8A/l5gZQG5VsFAEUTkUhAV\nFMw88siDCE0rEBFR0yz1oRZIliTmkfj4lkflN/M+f5YXqFl9KTNRDBDBEMFEcxERZVduWHZ3\nfn9MrQRqy7EMM76ef+1+ZmfmPSwsr/3MZz4zfTrb4uXl5ePjw96HBgCaDT127Uh5efnVq1c1\nGg2vv82zg4eMjY39/PxMTZt/x3duFRUV5eXlWVpaent7d+jQvgbd60jb3dilSxdXV1d9dzc2\n6QqPElWJPdmzj+tfPNGYWq3+448/7t692/ajG1uRUqm8du3aw4cPe/XqZW9vz3U5zZSRkfHG\nG288ePBg//79r7/+egu3VlZWFhERMXz4cG1L586d22C6IgDBQ7BrL9hv8507d3Zzc2uDW2Xr\ng7a7sWvXrj179uTpZ7QwrlVsMAu0vnfXjCs8KjWV/7rZNp4FWk8EMLKCYZj4+PjY2NjBgwef\nOXPGzs6u5dt0cnJiT4AUFxdfv379p59+Sk9Pj42NbfmWAZ5xvAwQAoPBQ+2HMKZlYbsbLSws\n/Pz82mZalqdcxmFuYP7YRYXqwqdskGEYmUyWn5/fNt2NeiKMkRV37twJDQ29ePFiTEyMPoLX\njh07VqxY0bFjx4kTJw4cOLDVtw/wrEGw49jNmzdlMplYLLa3t1cqlbdv3+a6ouYoLS0tKSkx\nMzOzs7MrKysrKyvjuqImYxhGLpeXlpZaWFh06tRJLpfL5XKui2oyjUbz4MGDiooKqVRqaWl5\n7969ttnvzoqdfY36mhSb3KZHv8CBBoFbFFuUVcrGi8aoXt6s/s+16yXV/jXlqvIGv/Yqlaq4\nuLi2ttbW1tbMzOzOnTttcxStq7a2tri4mGEYOzs7sVgsk8m4rkhXWVlZycnJ7OPr169/9913\nHTt2nDt3rkQiuXbtmru7e/M2m5SUNGrUKPbx0qVL16xZwz6Ojo6Ojo5mGGbq1KmhoaHHjh1r\n+SEAPMtw8YSuWv3iCXbwUGFhYYcOHXh6GwYiYhimpqZGrVYbGxvzdDw4EWk0murqaoZhJBIJ\nT8+DE5Fara6urhaJRCYmJu35PPj+/V22bOlaXe1BtMTTc+qKFTednGq0S1UqVU1NjYGBgYmJ\nCU+7uIhIqVTW1tYaGRlJJBLeHUVCQsK3337LMMy9e/cUCoVUKmVHN4pEog8//DAoKKh5m62q\nqtKmW6lUmpaWduDAgd27H91Bbtu2bbNmzVKr1e35txeg/ePr/zC+0w4e6t+/P38HD7HXKpqa\nmvL6WkV2WhZeX6vYHqZl0dHRo/Tpp4+eXr1qFhvb59IlMjbmchboVsSOrFCr1Z6envXnC+QR\nX1/fl19+OTQ0VCwWnzhxYsKECa2yWVNTUze3R1fJiMXiPXv2LFq0qF+/fmxLWlqavb09Uh1A\nCyHYtTUMHmo/2GsVFQoFr6+T0E7L4uXl1f5vNtp4LourVyk9nXr3Ls3JyRGJRAMGDNDrtCx6\npZ2WxdfXl6dfdRiGiYuLW7Vq1YgRI3bv3q2/bDps2LC+ffu+9tpry5cv79KlS1JS0tatWzds\n2KCn3QE8OxDs2pT2nk4eHh48/TZPmJalPeHdtCz1RtM5EP11qVBaWrFSeZXXX3WEMS1LQUFB\nSEjIpUuXPv7446ioKL3ui+0OjI6OXrp0aWlpqZub244dO6ZNm/bvawLAUyHYtR2ubiHfujAt\nSzvB02lZvLwoPZ19+D9to5VVQdtMy6InwpiWZdeuXQsXLuzWrdvFixf79OnTBnvs1q3bvn37\n2mBHAM8UXv5j5h1hDB7Sdje6u7vzt7tRewt5vnc3Xrt2zcjIiHc3G42KokOHqKrqUcvo0aWv\nv96bp191hDGyorKyct68efv27Zs1a9fsVsQAAB3gSURBVNbGjRt50fULAE+CYKd3paV/DR7y\n9fXl79Ro2usk+Dt4iARxTyeNRsNOkcPT7kYPDzp7lmJimN9+05iZKV99tW7NGgtjY75+1bl6\n9WplZaWnp6etrS3X5TTTmTNnpk+frlQqT548+dJLL3FdDgC0FIKdHrXxPZ30RKVS3bhxg++D\nh5RKZU5OTllZGa/v6cTOAq1UKr29vaVSKdflNJOzs+Kjj3KMjIw8PT07drTgupxmEsDICrVa\n/fHHH69aterFF1/cu3cvf0+FA0B9CHb60sb3dNITYQweEsC1ivT3tCxSqdTHx4en3Y08mpbl\nKYQxsuL69etvvPFGbm7uZ599Nm/ePK7LAYBWg2CnF9prFdvsnk6tThiDh9RqdX5+PqZlaQ+q\nqqqys7OVSiUvpmV5EmGMrPj6668XL17co0eP3377zdPTk+tyAKA1CT/YqdVquVxubW3dNpdw\nqlSq3NzcBw8e9OjRw8HBgadJQhiDh4TR3chOyyKRSAYOHMjf7kbtV52+ffvydGy+MEZWyOXy\nt9566/Dhw++888769et5emE7ADyFYP+qMzMzN2/efOLEieLiYo1GY2BgYGtrO378+IULF3p7\ne+tpp8K4hbwABg8xDHPnzh1My9Ie8HRalgaEMbLip59+Cg8PZxjmu+++Gz16NNflAIBe8PIf\n3r86d+7cmDFjHB0dIyIinJycLC0tS0tLCwoKEhMT/f39k5KSAgICWneP2msVBTB46P79+3zv\nbhTAtCyYBbr9EMDIirq6uuXLl69fv378+PG7d+/mbwc2APwrEcMwXNfQ+oYOHWpjY3Po0KEG\nAYthmDlz5uTl5Z05c6ap25wxYwYR7dixo/Ei7eAhd3d3/g4eYrsbDQ0Ne/fuLYDuRg8PD57+\nDybMAt1uCKO7MTc39/XXX79169amTZtwawcAwePlp+2/yszMDAsLa9xtJhKJIiIiLl++3Ir7\nKiwsTEtLY4dA8TTVMQxz8+bNzMzMTp068XdIuEqlysnJuXr1ardu3fr27cvTVFdbW5uRkXHz\n5k03N7fevXvzItWdOkUiEQUGPmqprKxMT0+/f//+/ft+rq69goL+8Tljbk5mZv+Yo5iIjh0j\nkYhCQtqkYt0oFIrU1NTq6uoBAwbwN9Vt2rSpf//+EokkIyOj5alOpVINGTIE6RCgPRNmsOvZ\ns+eFCxceu+j8+fMuLi6tshelUpmVlXX9+nVnZ2cvLy9ezECh0WgatFRVVaWnpxcWFnp5ebm5\nufHiJHLjoygrK0tLSysrKxswYECPHj14cRK58VHcv38/NTVVo9H4+vo+99xznFTVVBqN5ptv\nyMyMfvyRSkuJiAoKCtLS0kxMTPz8/E6dMqu/SKu6mn744R8tx4/Tv75pN29Sr16tWv3fGrwX\nbHdjZmamjY0Nj77qNDiKkpKSwMDAJUuWLFiwIDk5uUePHi3fRUxMTHJycsu3AwD6I8xgN3/+\n/Pj4+KlTpx45cuTSpUt//PFHRkZGQkLC7Nmzo6OjFyxY0Ixtpqampqamap/K5fLU1FSlUunn\n58ejb/OBgYFfffWV9mlRUVFaWppYLPbz8+NRd6OLi8vZs2fZx2x346VLlywtLX19fc3Nzbmt\nTUdlZWWWlpZ37txhn6rV6tzc3Ozs7K5du/bv358vV79mZmba2NgfP07LlhHD0NGjqqysrPz8\n/F69evXp04dIrF2UmPiPFf396ejRR081Gjpxgp4y8LWykk6doogIvRzFoUOHhgwZUm9flenp\n6UVFRV5eXr169eLLSeS4uLhZs2ZpnyYkJHh6emZnZ585c2bNmjWt8oUtISFh27Ztjo6OLd8U\nAOgPD070NMOMGTPEYvG6dev2799fv93Ly2v37t1Tp05txjZra2vZB7wePKRQKORyOfF88JD2\nKPh7rWJVVVVFRUV5eTnxeVoWhUIhl/cTiSg8nE6dqtu+vczLq87Pz48NpklJ9PAhhYfTjz/S\n4cMUFvZoxeBgWruWVCpiTzUnJ5OpKfXrRyUlj9/R2rW0cydVVpI+vn3I5XKFQsE+5u8s0AqF\ngj2Kurq69957b9OmTZMnT/76669b66vOrVu3IiIitm/f/sknn7TKBgFAT4QZ7IgoLCwsLCxM\nJpMVFhbK5XKpVGpvb+/g4NDCzbL3dKqrq+P1tYrCmJaFvVbRwsKCv9cqMgxz+/Ztns8CPWXg\nQKqquu7tbbBtm7Orq9TE5K9Tqt98QwMHUteuFBhIy5ZRRQVpf9e8vcnamn75hUaOJCI6fpxe\neYWech3XypW0ciXt2kUff6yvwxDGLNCXL18OCQm5d+/e3r17Q1pvxKJSqZwyZUpERERwcDCC\nHUA7x6fepmZwcHAYNGjQuHHjBg0axKa62traysrK5m1NpVJpBw/xN9WVlJTwbvBQYzKZLDc3\n18nJib/XSRDRtWvX/vzzTw8PDw8PDz6mOrVaRBTs63v7wYMHERE2tbWiU6f+SnUqFR07RpMm\nERFNmEA1NXTy5KMVRSIKDn50Nvb4cQoObuPa/0GtVvNxZEUDN27cCAgIkEqlbLxrxS0vXrzY\n0NAQkQ6AF4Q53clThISEHDx4UMej/uyzz+Li4tjHDx8+ZBhGOyq/Q4cOfJxAv6qqysjIiI+V\n11dRUSGRSHhxxeiTMAxTUVFhZmbGr1P5DSiVI2prj5uajjIw+INIVFX1q4FBqonJdCJSqUZW\nVx997KKKirsSSZhIVF1dvb1jRw+Nxr2q6vuOHZ1ra9dqNFITk8gn7a6uLlSpjDIz82ndo6ir\nq1MqlWZmZq272TZQV1enHSLCfqaZmJhIJBIiWrhwYWxsbPM2m5SUNGrUKPbx0qVL/fz8Zs+e\nnZGR0b17dyIKCAhwcXHZs2dPKxwAAOjBMxfsvvrqq9TU1K1bt+ry4uLi4qysLPbxsmXLKisr\np0yZwj51dHTkY6ddVFTUwIEDJ0+ezHUhLTJ16tQFCxYMGjSI60KaT6FQREZGbtq0ib/9Q0T0\n8ceO6en96rdIJOqdO08ZG6u/+KLfjz86PnZRSEhgVNRvPj73IyLGfvBBSmamzZ075gsXpm/d\n6l1W1mHJkrSzZx0+/XQAEYnF6kOHHl128fPP3b/5xu2LL35s3aM4ffp0YmLi559/3rqbbQPl\n5eX5+fns48TExJqams8++4x96unpaW9v37zNVlVVyWQy9rFUKl29erV2s/UdO3bslVdead4u\nAEB/nrlg12xPmaCYRwICAl555ZWlS5dyXUiLWFtb79ixI5jbs3ctU1RUZGdnl5OT4+7uznUt\nzaRSUadOdWVl6xhmGduSnk6+vnT4MAUF0XPP0dy5j4bEaRdNmkTm5vTtt/TSSzRrFtnaUlIS\nRUfTpEk0fz49eEAHDjxxj+wYu+vXW/lAtmzZsmHDhpycnFbebttatGjRrVu3jta/2LiV5OXl\naXMeEc2fP9/e3j4mJsbb29vGxqbVdwcALcTjk1k6UqvVcrnc2tqa12fuANqbn3+msjIx0R6i\nv4LdgAHk5kaHD5O5OZWUUP1ZbLWL2FF3rOBgmjuX5HJ66aW2LR2awtXV1dXVVfvU0tLSzs5u\nJHvZCwC0Pzwe3/N0mZmZs2fPtrOz69Chg62trbGxsZ2d3cyZM7WnVpvKwMCA18OhWDiKdoKt\nn9dH8e235O5ebmDwjw60qVMpMZH27SM/P3Jzo8aL/h4SRkQ0ahSVltLIkcTt8DYB/DqRUI4C\nAFpOmKdiz507N2bMGEdHx+DgYCcnJ0tLy9LS0oKCgsTExLy8vKSkpICnzIX6BHl5eURU/5sr\nH6Wmpjo4OPDlrgZP8tNPPw0aNIiPo93rO3Xq1NixY3n9z7i2tvaXX34ZM2YM14W0SElJSW5u\n7uDBg7kupEVu3bpVXl7u5eXFdSEAwDFhBruhQ4fa2NgcOnSowRQSDMPMmTMnLy/vzJkzHJUG\nAAAAoC887i14iszMzLCwsMYTg4lEooiIiMuXL3NSFQAAAIBeCTPY9ezZ88KFC49ddP78eRcX\nlzauBwAAAKANCPNC0fnz50dGRt65c+fVV191cnKysLAoLy+XyWSJiYnbt2/n+5QlAAAAAI8l\nzDF2RLR3795169ZduXKlfqOXl1d0dPTUqVO5qgoAAABAfwQb7FgymaywsFAul0ulUnt7e/Z2\nsQAAAACCJPBgBwAAAPDsEObFEwAAAADPIAQ7AAAAAIFAsAMAAAAQCAQ7AAAAAIFAsAMAAAAQ\nCAQ7AAAAAIFAsAMAAAAQCAS7JkhLSxs3bpxUKnV2do6Pj+e6nBZRqVRDhgyZNm0a14U0h1Kp\nXL16tYeHh5mZWe/evePj4+vq6rguqsl27tzp6+trZWU1fPjw5ORkrstpDmG8EVq8/qMgYX1A\nAUCzIdjpKi0tbcSIEVKp9Ouvv548eXJ0dPSGDRu4Lqr5YmJieBomiCg2NnblypXh4eFHjhx5\n7bXXPvzww3fffZfroppm3759M2bMGDZs2I4dO6RS6ejRozMzM7kuqskE8EbUx+s/CoF9QAFA\n8zGgm4kTJ7700kvap0uWLJk0aRKH9bTE8ePHra2tHR0dw8LCuK6lydRqtYmJyfvvv69tiYuL\nE4vF1dXVHFbVVN7e3iEhIexjlUrl7u4+e/ZsbktqKmG8EVq8/qNghPUBBQAtgR47nZSVlSUk\nJMyYMUPbsn79+sOHD3NYUrPdunUrIiJi+/btdnZ2XNfSHIWFhY6OjuPHj9e29OjRo66urri4\nmMOqmkQmk2VlZU2ePJl9amhoGBwcfOLECW6raioBvBFafP+jENIHFAC0EIKdTm7fvq1Wqw0M\nDMaNG2dtbd2rV6+PPvpIqVRyXVeTKZXKKVOmREREBAcHc11LM3Xr1i0nJ+f5559nn1ZXV2/d\nutXFxaVbt27cFqa7wsJCInJ0dNS2ODk53bt3T61Wc1dUkwngjWAJ4I9CMB9QANByCHY6Yf8T\nv/XWW/7+/vv27YuMjFy/fv2iRYu4rqvJFi9ebGho+Mknn3BdSOvIyMgYOnRoRkbG7t27DQx4\n88ssl8uJyNLSUttiaWmp0WjYdj7i6RvBEsAfhWA+oACg5Xj2EdxmkpKSRH+LiYkxNjYmopiY\nmNjY2PHjx8fExHzwwQdbtmypqqriutKnaXAUR44cOXDgwKFDh8RiMdelNUGDo2Ab5XJ5ZGSk\nr6+vg4PDlStXAgICuC2ySaRSKRGVl5drW8rKygwMDKysrLgrqpl4/UYQEU//KBrg6QcUAOiD\nEdcFtFMBAQHXrl1jH0ul0tLSUiLy9fXVvqBfv34ajUYmk7m5uXFTog4aHMXq1avlcnn9M4Ap\nKSl79+49duzYK6+8wlGN/67BURDR9evXhw8fLpVKU1JS/Pz8OK2uOezt7YlIJpP169ePbZHJ\nZLa2trzLFnx/I4jo119/5eMfRQNdu3YlHn5AAYA+INg9nqmpaf0PRKlU2r17919//XXYsGFs\ny4ULFyQSibOzM0cF6qTBUbz11luBgYHap/Pnz7e3t4+JifH29uaiOl01OAqGYSZOnOjt7X30\n6FGJRMJhYc3m4ODQp0+fxMTEoKAgImIYJjExsf5VCLwggDeCePtH0UCPHj34+AEFAPqAYKcT\nQ0PDqKioxYsXq9Vqf3//lJSUNWvWLF++nF9dLK6urq6urtqnlpaWdnZ2I0eO5LCkZjh//nx2\ndvaYMWP27dtXvz00NNTExISrqpoqOjp6+vTpHh4eAQEBO3fuzMvL2717N9dFNY0w3ghh/FEI\n4wMKAFoFgp2u3n77bSMjo//+97/x8fHOzs4bN2588803uS7qWZSdnU1En376aYP2wMBAHuWJ\nsLAwtVq9YcOGFStW+Pj4JCUl8auLiITyRggGPqAAgCViGIbrGgAAAACgFeCqWAAAAACBQLAD\nAAAAEAgEOwAAAACBQLADAAAAEAgEOwAAAACBQLADAAAAEAgEOwAAAACBQLADAAAAEAgEOwAA\nAACBQLADAAAAEAgEOwAAAACBQLADAAAAEAgEOwAAAACBQLADAAAAEAgEOwAAAACBQLADAAAA\nEAgEOwAAAACBQLADAAAAEAgEOwAAAACBQLADAAAAEAgEOwAAAACBQLADAAAAEAgEOwAAAACB\nQLADAAAAEAgEOwAAAACBQLADAAAAEAgEOwAAAACBQLADAAAAEAgEOwAAAACBQLADAAAAEAgE\nOwAAAACBQLADAAAAEAgEO+CT5ORk0T+JxWInJ6c333wzPz+f6+qeaO7cue+++y7XVbSy0tJS\nW1vbzMxMrgsBAIBHEOyAf3r06BH2txEjRlRUVGzdurVPnz6nT5/WvqZfv34ikSgpKUkfBXz5\n5ZfW1tY6vjg5OfnAgQNLly7Vtty8eTMkJMTFxcXMzKxPnz7vvffew4cP2UX37t0TPdm2bdsa\nb1/HVR4+fPjuu+/27t3bzMysd+/e7733Xmlpaf3tKBSKkydPnj59ukE7Ed24cUMikaSkpNRv\ntLS0XLRo0Zw5czQajY4/CgAA0DcjrgsAaLLnn39+z5499Vv+85//REVFhYSE3Lp1y9LSUq97\nr6qq2rx5s+6vX7JkyezZszt37sw+zc/P9/b2rqmpGT9+/OjRo9PT09evX3/q1Kn09HSJRNKh\nQ4fhw4c33sjNmzf//PNPOzu7xot0WaWiosLf3z83N3fw4MFTp07Nzs5ev379iRMn0tPTTU1N\niSgxMXH69OkKhYKIOnfuvGfPnrFjx2o3FRUVNWnSJH9//wa7WLBgwerVq//v//4vJCRE9x8I\nAADoEQPAH+fOnSOisLCwxovi4uKIaMWKFezTBw8eFBUV1dbWtuLev//++08++cTd3Z2IrKys\ndFnl4sWLRJSZmaltmTJlChGdPHlS2zJv3jwi2rx585M2olAoHBwcQkJCdC+1wSorV66s/8Nh\nGGb58uVEtHbtWoZh7t69a25uHhoaevfu3YKCgldffdXKyurBgwfsK8+ePSuRSP7888/H7ig8\nPNzf31/3wgAAQK8Q7IBPnhLsSkpKTE1NbWxs2KezZs0iooqKCoZh5s6da2VlVVNTs2DBAnd3\ndxsbm4kTJxYVFVVUVMyZM8fFxcXc3HzEiBFZWVlP37tEItF+I9Ix2EVERHh4eNRvsbOza9By\n+fJlIpoxY8aTNhISEuLs7FxaWqrLHh+7SmBgIBHdvXtX+4Lbt28T0cSJExmGOXDggIGBAfuz\nYhimpKSEiI4dO8YwjEajGTBgwPvvv/+kHX3//fdEdOnSJd1rAwAA/cEYOxAIqVQ6YMCA+/fv\na8er1adSqYKDg62srLZv3x4VFXX8+PGxY8cOHz68Y8eOu3btWrVq1blz5yZOnPj04WIPHz6s\nqampqanx9PTUsarvvvtu2LBh2qdqtXrmzJnR0dH1X1NXV0dEHTp0eOwWvvnmmwMHDuzatcvC\nwkLHnTZexdjYmIju3bunfU1RUZG2vVOnThqNRnv1CfugU6dORLRnz56CgoL6AwQbGDJkiKGh\nYf3RjQAAwCWukyVAEzylx45hmNDQUPq796hBjx0RLVu2TPvKoKAgIpo3b562Zdq0aUR048YN\nXcro06ePLj12WVlZRLRz587HLlWr1XK5/OzZs4MHDxaLxSkpKY1fU1NT4+joGBwcrEtVT1kl\nOTnZ3Ny8f//+aWlpVVVVqampPj4+5ubmFy5cYBhGqVT6+fk999xzK1eujIuL69Kly/PPP69S\nqSorK7t27bp169an79HHx2fUqFG6VwgAAPqDiydAOGxtbYmosLCwX79+jZfWH+Dv5uZGRGwQ\nZLEj59irB1oLOxUIu6/G3n777S1bthCRqanpyZMnBw0a1Pg1mzdvLigoaFJ/2GNXGTx48A8/\n/PDCCy/4+vqyLR06dEhOTmafisXi06dPR0dHf/HFF0QUHBy8du1aQ0PDdevWderUKTIy8ul7\ndHd3//HHH3WvEAAA9AfBDoTj/v37RPTYS0eJqEuXLtrHhoaGj21pXezpTvacZmNBQUEODg4G\nBgYHDx6cNm3aiRMntKmLVV5evmrVqtDQUDZ06uJJq2RnZ4eGhhoZGb322mtOTk43b948cuRI\nSEjIiRMn2NwplUq3bt1af5U7d+7Ex8cnJCQYGBgQUUFBwcWLF21tbQcNGtTgrHHnzp3lcnld\nXZ1YLNaxTgAA0BMEOxAOmUxGRM7Ozo9dKhKJ/rWldcnlciIyNzd/7NJx48aNGzeOiObNm+fi\n4hIZGcmeutXas2ePQqGYPXu27nt87Cp1dXVBQUFyufzy5cva7sOrV6/6+/sHBQVdvXr1saH2\n/fffHzly5MiRI4koPj5+2bJl7FhAT0/PY8eO9erVS/tKS0tLhmEePnxoY2Oje6kAAKAPuHgC\nBEKhUKSnp9vY2FhZWXFdy1+kUikRlZeXa1uysrLmz5//888/13+ZhYVF3759r1y5Ul1dXb99\ny5YtvXr1euGFF3Tf42NXyczMzM/PnzhxYv2Twp6eni+//HJeXl52dnbj7aSnpx88eDA+Pp6I\nfv7556ioqJUrV5aWlmZmZorFYnY8olZpaalIJGo/P3YAgGcZgh0IxOeff15ZWfnOO+9wXcgj\n7KledvYQlrGx8ebNmw8ePNjglTKZzMrKysTERNty/vz5K1euhIeH6767J63CRi62v60+lUpF\nRI+92Hbx4sVz585lg2BCQkLfvn2jo6MtLCy8vb1Xr1598eLF4uJi7YtLSkqkUinOwwIAtAcI\ndiAEmzZtWrFihZWV1cKFC7mu5ZG+ffsSUV5enrbF1dW1e/fue/fuzcnJ0Tbu2LEjNzd3zJgx\n9dc9evQoEY0aNarxZuvq6kpKShrP6vKkVVxcXBwdHY8ePZqenq5tvHjxYkJCQs+ePZ2cnBq8\n/siRI1euXImNjWWfWltbs3P+sU/z8/PFYnH988u5ubnskQIAAOcwxg745/z58zNmzGAfFxcX\nX7p0qaioSCKR7N+/X9/3E2sSLy8vW1vblJQUbS+aSCT64osvXn755f79+0+YMKFLly6///77\n2bNn7ezsNm7cWH/d06dPSySS/v37N97s2bNnR40a5ePjk5GRoeMq+/fvf/HFF/39/ceNG9e9\ne/f8/PwffvhBLBbv27evwSuVSmVUVNTy5cvZ88hENHPmzI0bNw4ZMiQ8PFwmk3355ZcLFizQ\ndi5WV1dnZWV99NFHzfkBAQBAa0OwA/7Jz8/XzqZrZGRkZ2c3c+bMmJiYnj17NnubhoaGDg4O\n9U+GtpxIJBo7duwvv/xSv3HChAnJyclxcXEXL15UKBQuLi6LFy/+8MMP649RKygo+P3334cO\nHfqkWYsbe/oqgwcPzsnJiYuLu3Dhwv/+9z9HR8fw8PDY2FhHR8cGr9y0aZOBgcHbb7+tbena\nteu5c+eWLFmycuXKzp07x8XFLVmyRLv0/PnzKpWKvQoEAAA4J2IYhusaAAQrJSUlICAgKyvL\ny8uL61r0IjIyMjs7m70lLgAAcA5j7AD0yN/ff+DAgbt37+a6EL2oqqo6fPjwggULuC4EAAD+\ngh47AP06d+5cYGDgjRs3njRTMX+tW7fu22+/TUlJYScxBgAAziHYAejd3LlzO3bsuH79eq4L\naU2lpaWurq7ff/+9j48P17UAAMBfEOwAAAAABAInUAAAAAAEAsEOAAAAQCAQ7AAAAAAEAsEO\nAAAAQCAQ7AAAAAAEAsEOAAAAQCAQ7AAAAAAEAsEOAAAAQCAQ7AAAAAAEAsEOAAAAQCAQ7AAA\nAAAEAsEOAAAAQCAQ7AAAAAAEAsEOAAAAQCAQ7AAAAAAEAsEOAAAAQCAQ7AAAAAAEAsEOAAAA\nQCAQ7AAAAAAEAsEOAAAAQCAQ7AAAAAAEAsEOAAAAQCAQ7AAAAAAEAsEOAAAAQCAQ7AAAAAAE\nAsEOAAAAQCAQ7AAAAAAEAsEOAAAAQCAQ7AAAAAAEAsEOAAAAQCAQ7AAAAAAEAsEOAAAAQCAQ\n7AAAAAAEAsEOAAAAQCAQ7AAAAAAEAsEOAAAAQCAQ7AAAAAAEAsEOAAAAQCAQ7AAAAAAEAsEO\nAAAAQCAQ7AAAAAAEAsEOAAAAQCAQ7AAAAAAEAsEOAAAAQCAQ7AAAAAAEAsEOAAAAQCAQ7AAA\nAAAEAsEOAAAAQCAQ7AAAAAAEAsEOAAAAQCAQ7AAAAAAEAsEOAAAAQCAQ7AAAAAAEAsEOAAAA\nQCAQ7AAAAAAEAsEOAAAAQCAQ7AAAAAAEAsEOAAAAQCAQ7AAAAAAEAsEOAAAAQCAQ7AAAAAAE\nAsEOAAAAQCD+Hx4AZTx9bO5aAAAAAElFTkSuQmCC",
      "text/plain": [
       "Plot with title “Hierarchical clustering on the factor map”"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Principal components + tree\n",
    "plot(res.hcpc, choice = \"3D.map\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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\ngh0AAIBG/A8dJWkAaykGNwAAAABJRU5ErkJggg==",
      "text/plain": [
       "Plot with title “Cluster Dendrogram”"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the dendrogram only\n",
    "plot(res.hcpc, choice =\"tree\", cex = 0.6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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\nAFTi/wF9olMmoGbS/wAAAABJRU5ErkJggg==",
      "text/plain": [
       "Plot with title “Factor map”"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Draw only the factor map\n",
    "plot(res.hcpc, choice =\"map\", draw.tree = FALSE)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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\nRK5CYII=",
      "text/plain": [
       "Plot with title “Factor map”"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Remove labels and add cluster centers\n",
    "plot(res.hcpc, choice =\"map\", draw.tree = FALSE,\n",
    "     ind.names = FALSE, centers.plot = TRUE)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Too few points to calculate an ellipse\n",
      "Too few points to calculate an ellipse\n"
     ]
    },
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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\nYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fviz_cluster(res.hcpc,choose.vars = NULL, stand = TRUE,\n",
    "  axes = c(1, 2), geom = c(\"point\", \"text\"), repel = TRUE,\n",
    "  show.clust.cent = TRUE, ellipse = TRUE, ellipse.type = \"t\",\n",
    "  ellipse.level = 0.9, ellipse.alpha = 0.1, shape = NULL,\n",
    "  pointsize = 1.5, labelsize = 10, main = \"Cluster plot\", xlab = NULL,\n",
    "  ylab = NULL, outlier.color = \"black\", outlier.shape = 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "ename": "ERROR",
     "evalue": "Error in `[.data.frame`(data_n, , 14): undefined columns selected\n",
     "output_type": "error",
     "traceback": [
      "Error in `[.data.frame`(data_n, , 14): undefined columns selected\nTraceback:\n",
      "1. t.test(data_n[, 14], conf.level = 0.99, mu = 58.82)",
      "2. data_n[, 14]",
      "3. `[.data.frame`(data_n, , 14)",
      "4. stop(\"undefined columns selected\")"
     ]
    }
   ],
   "source": [
    "t.test(data_n[,14],conf.level = 0.99,mu=58.82)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "fviz_pca_ind(res.pca,\n",
    "             palette = c(\"#00AFBB\",  \"#FC4E07\"),\n",
    "             addEllipses = TRUE, # Concentration ellipses\n",
    "             ellipse.type = \"confidence\",\n",
    "             legend.title = \"Groups\",\n",
    "             repel = TRUE\n",
    "             )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "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": "3.4.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}