{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Unsupervised Learning and NGS"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This lab will walk you through some examples of unsupervised learning in NGS."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Loading required package: Biobase\n",
      "Loading required package: BiocGenerics\n",
      "Loading required package: parallel\n",
      "\n",
      "Attaching package: ‘BiocGenerics’\n",
      "\n",
      "The following objects are masked from ‘package:parallel’:\n",
      "\n",
      "    clusterApply, clusterApplyLB, clusterCall, clusterEvalQ,\n",
      "    clusterExport, clusterMap, parApply, parCapply, parLapply,\n",
      "    parLapplyLB, parRapply, parSapply, parSapplyLB\n",
      "\n",
      "The following objects are masked from ‘package:stats’:\n",
      "\n",
      "    IQR, mad, xtabs\n",
      "\n",
      "The following objects are masked from ‘package:base’:\n",
      "\n",
      "    anyDuplicated, append, as.data.frame, as.vector, cbind, colnames,\n",
      "    do.call, duplicated, eval, evalq, Filter, Find, get, grep, grepl,\n",
      "    intersect, is.unsorted, lapply, lengths, Map, mapply, match, mget,\n",
      "    order, paste, pmax, pmax.int, pmin, pmin.int, Position, rank,\n",
      "    rbind, Reduce, rownames, sapply, setdiff, sort, table, tapply,\n",
      "    union, unique, unlist, unsplit\n",
      "\n",
      "Welcome to Bioconductor\n",
      "\n",
      "    Vignettes contain introductory material; view with\n",
      "    'browseVignettes()'. To cite Bioconductor, see\n",
      "    'citation(\"Biobase\")', and for packages 'citation(\"pkgname\")'.\n",
      "\n"
     ]
    }
   ],
   "source": [
    "library(golubEsets)\n",
    "data(Golub_Merge)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## MDS/PCA"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We have loaded the Golub_Merge data set that was used in this morning's lecture. It is a pretty complex data type used by Bioconductor."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "'ExpressionSet'"
      ],
      "text/latex": [
       "'ExpressionSet'"
      ],
      "text/markdown": [
       "'ExpressionSet'"
      ],
      "text/plain": [
       "[1] \"ExpressionSet\"\n",
       "attr(,\"package\")\n",
       "[1] \"Biobase\""
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "ExpressionSet (storageMode: lockedEnvironment)\n",
       "assayData: 1 features, 72 samples \n",
       "  element names: exprs \n",
       "protocolData: none\n",
       "phenoData\n",
       "  sampleNames: 39 40 ... 33 (72 total)\n",
       "  varLabels: Samples ALL.AML ... Source (11 total)\n",
       "  varMetadata: labelDescription\n",
       "featureData: none\n",
       "experimentData: use 'experimentData(object)'\n",
       "  pubMedIds: 10521349 \n",
       "Annotation: hu6800 "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "       Length         Class          Mode \n",
       "            1 ExpressionSet            S4 "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "class(Golub_Merge)\n",
    "head(Golub_Merge)\n",
    "summary(Golub_Merge)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>39</th><th scope=col>40</th><th scope=col>42</th><th scope=col>47</th><th scope=col>48</th><th scope=col>49</th><th scope=col>41</th><th scope=col>43</th><th scope=col>44</th><th scope=col>45</th><th scope=col></th><th scope=col>35</th><th scope=col>36</th><th scope=col>37</th><th scope=col>38</th><th scope=col>28</th><th scope=col>29</th><th scope=col>30</th><th scope=col>31</th><th scope=col>32</th><th scope=col>33</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>AFFX-BioB-5_at</th><td>-342</td><td>-87 </td><td>22  </td><td>-243</td><td>-130</td><td>-256</td><td>-62 </td><td>86  </td><td>-146</td><td>-187</td><td>⋯   </td><td>7   </td><td>-213</td><td>-25 </td><td>-72 </td><td>-4  </td><td>15  </td><td>-318</td><td>-32 </td><td>-124</td><td>-135</td></tr>\n",
       "\t<tr><th scope=row>AFFX-BioB-M_at</th><td>-200</td><td>-248</td><td>-153</td><td>-218</td><td>-177</td><td>-249</td><td>-23 </td><td>-36 </td><td>-74 </td><td>-187</td><td>⋯   </td><td>-100</td><td>-252</td><td>-20 </td><td>-139</td><td>-116</td><td>-114</td><td>-192</td><td>-49 </td><td>-79 </td><td>-186</td></tr>\n",
       "\t<tr><th scope=row>AFFX-BioB-3_at</th><td>41  </td><td>262 </td><td>17  </td><td>-163</td><td>-28 </td><td>-410</td><td>-7  </td><td>-141</td><td>170 </td><td>312 </td><td>⋯   </td><td>-57 </td><td>136 </td><td>124 </td><td>-1  </td><td>-125</td><td>2   </td><td>-95 </td><td>49  </td><td>-37 </td><td>-70 </td></tr>\n",
       "\t<tr><th scope=row>AFFX-BioC-5_at</th><td>328</td><td>295</td><td>276</td><td>182</td><td>266</td><td>24 </td><td>142</td><td>252</td><td>174</td><td>142</td><td>⋯  </td><td>132</td><td>318</td><td>325</td><td>392</td><td>241</td><td>193</td><td>312</td><td>230</td><td>330</td><td>337</td></tr>\n",
       "\t<tr><th scope=row>AFFX-BioC-3_at</th><td>-224</td><td>-226</td><td>-211</td><td>-289</td><td>-170</td><td>-535</td><td>-233</td><td>-201</td><td>-32 </td><td>114 </td><td>⋯   </td><td>-377</td><td>-209</td><td>-396</td><td>-324</td><td>-191</td><td>-51 </td><td>-139</td><td>-367</td><td>-188</td><td>-407</td></tr>\n",
       "\t<tr><th scope=row>AFFX-BioDn-5_at</th><td>-427</td><td>-493</td><td>-250</td><td>-268</td><td>-326</td><td>-810</td><td>-284</td><td>-384</td><td>-318</td><td>-148</td><td>⋯   </td><td>-478</td><td>-557</td><td>-464</td><td>-510</td><td>-411</td><td>-155</td><td>-344</td><td>-508</td><td>-423</td><td>-566</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll}\n",
       "  & 39 & 40 & 42 & 47 & 48 & 49 & 41 & 43 & 44 & 45 &  & 35 & 36 & 37 & 38 & 28 & 29 & 30 & 31 & 32 & 33\\\\\n",
       "\\hline\n",
       "\tAFFX-BioB-5_at & -342 & -87  & 22   & -243 & -130 & -256 & -62  & 86   & -146 & -187 & ⋯    & 7    & -213 & -25  & -72  & -4   & 15   & -318 & -32  & -124 & -135\\\\\n",
       "\tAFFX-BioB-M_at & -200 & -248 & -153 & -218 & -177 & -249 & -23  & -36  & -74  & -187 & ⋯    & -100 & -252 & -20  & -139 & -116 & -114 & -192 & -49  & -79  & -186\\\\\n",
       "\tAFFX-BioB-3_at & 41   & 262  & 17   & -163 & -28  & -410 & -7   & -141 & 170  & 312  & ⋯    & -57  & 136  & 124  & -1   & -125 & 2    & -95  & 49   & -37  & -70 \\\\\n",
       "\tAFFX-BioC-5_at & 328 & 295 & 276 & 182 & 266 & 24  & 142 & 252 & 174 & 142 & ⋯   & 132 & 318 & 325 & 392 & 241 & 193 & 312 & 230 & 330 & 337\\\\\n",
       "\tAFFX-BioC-3_at & -224 & -226 & -211 & -289 & -170 & -535 & -233 & -201 & -32  & 114  & ⋯    & -377 & -209 & -396 & -324 & -191 & -51  & -139 & -367 & -188 & -407\\\\\n",
       "\tAFFX-BioDn-5_at & -427 & -493 & -250 & -268 & -326 & -810 & -284 & -384 & -318 & -148 & ⋯    & -478 & -557 & -464 & -510 & -411 & -155 & -344 & -508 & -423 & -566\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
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       "\n",
       "\n"
      ],
      "text/plain": [
       "                  39   40   42   47   48   49   41   43   44   45   46   70\n",
       "AFFX-BioB-5_at  -342  -87   22 -243 -130 -256  -62   86 -146 -187  -56  -55\n",
       "AFFX-BioB-M_at  -200 -248 -153 -218 -177 -249  -23  -36  -74 -187  -43  -44\n",
       "AFFX-BioB-3_at    41  262   17 -163  -28 -410   -7 -141  170  312   43   12\n",
       "AFFX-BioC-5_at   328  295  276  182  266   24  142  252  174  142  177  129\n",
       "AFFX-BioC-3_at  -224 -226 -211 -289 -170 -535 -233 -201  -32  114 -116 -108\n",
       "AFFX-BioDn-5_at -427 -493 -250 -268 -326 -810 -284 -384 -318 -148 -184 -301\n",
       "                  71   72   68   69   67   55   56   59   52   53   51   50\n",
       "AFFX-BioB-5_at   -59 -131 -154  -79  -76  -34  -95  -12  -21 -202 -112 -118\n",
       "AFFX-BioB-M_at  -114 -126 -136 -118  -98 -144 -118 -172  -13 -274 -185 -142\n",
       "AFFX-BioB-3_at    23  -50   49  -30 -153  -17   59   12    8   59   24  212\n",
       "AFFX-BioC-5_at   146  211  180   68  237  152  270  172   38  309  170  314\n",
       "AFFX-BioC-3_at  -171 -206 -257 -110 -215 -174 -229 -137 -128 -456 -197 -401\n",
       "AFFX-BioDn-5_at -227 -287 -273 -264 -122 -289 -383 -205 -245 -581 -400 -452\n",
       "                  54   57   58   60   61   65   66   63   64   62    1    2\n",
       "AFFX-BioB-5_at   -90 -137 -157 -172  -47  -62  -58 -161  -48 -176 -214 -139\n",
       "AFFX-BioB-M_at   -87  -51 -370 -122 -442 -198 -217 -215 -531 -284 -153  -73\n",
       "AFFX-BioB-3_at   102  -82  -77   38  -21   -5   63  -46 -124  -81  -58   -1\n",
       "AFFX-BioC-5_at   319  178  340   31  396  141   95  146  431    9   88  283\n",
       "AFFX-BioC-3_at  -283 -135 -438 -201 -351 -256 -191 -172 -496 -294 -295 -264\n",
       "AFFX-BioDn-5_at -385 -320 -364 -226 -394 -206 -230 -596 -696 -493 -558 -400\n",
       "                   3    4    5    6    7    8    9   10   11   12   13   14\n",
       "AFFX-BioB-5_at   -76 -135 -106 -138  -72 -413    5  -88 -165  -67  -92 -113\n",
       "AFFX-BioB-M_at   -49 -114 -125  -85 -144 -260 -127 -105 -155  -93 -119 -147\n",
       "AFFX-BioB-3_at  -307  265  -76  215  238    7  106   42  -71   84  -31 -118\n",
       "AFFX-BioC-5_at   309   12  168   71   55   -2  268  219   82   25  173  243\n",
       "AFFX-BioC-3_at  -376 -419 -230 -272 -399 -541 -210 -178 -163 -179 -233 -127\n",
       "AFFX-BioDn-5_at -650 -585 -284 -558 -551 -790 -535 -246 -430 -323 -227 -398\n",
       "                  15   16   17   18   19   20   21   22   23   24   25   26\n",
       "AFFX-BioB-5_at  -107 -117 -476  -81  -44   17 -144 -247  -74 -120  -81 -112\n",
       "AFFX-BioB-M_at   -72 -219 -213 -150  -51 -229 -199  -90 -321 -263 -150 -233\n",
       "AFFX-BioB-3_at  -126  -50  -18 -119  100   79 -157 -168  -11 -114  -85  -78\n",
       "AFFX-BioC-5_at   149  257  301   78  207  218  132  -24  -36  255  316   54\n",
       "AFFX-BioC-3_at  -205 -218 -403 -152 -146 -262 -151 -308 -317 -342 -418 -244\n",
       "AFFX-BioDn-5_at -284 -402 -394 -340 -221 -404 -347 -571 -499 -396 -461 -275\n",
       "                  27   34   35   36   37   38   28   29   30   31   32   33\n",
       "AFFX-BioB-5_at  -273  -20    7 -213  -25  -72   -4   15 -318  -32 -124 -135\n",
       "AFFX-BioB-M_at  -327 -207 -100 -252  -20 -139 -116 -114 -192  -49  -79 -186\n",
       "AFFX-BioB-3_at   -76  -50  -57  136  124   -1 -125    2  -95   49  -37  -70\n",
       "AFFX-BioC-5_at    81  101  132  318  325  392  241  193  312  230  330  337\n",
       "AFFX-BioC-3_at  -439 -369 -377 -209 -396 -324 -191  -51 -139 -367 -188 -407\n",
       "AFFX-BioDn-5_at -616 -529 -478 -557 -464 -510 -411 -155 -344 -508 -423 -566"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>7129</li>\n",
       "\t<li>72</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 7129\n",
       "\\item 72\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 7129\n",
       "2. 72\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] 7129   72"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Fortunately, bioconductor has a function to extract the expression data:\n",
    "\n",
    "Golub.expression.data=exprs(Golub_Merge)\n",
    "head(Golub.expression.data)\n",
    "dim(Golub.expression.data)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<tbody>\n",
       "\t<tr><th scope=row>39</th><td>0               </td><td>101530.75134165 </td><td>94405.0427042963</td><td>115681.471662492</td><td>116666.762777579</td><td>93189.9424777159</td><td>101409.857528743</td><td>117607.803048947</td><td>86952.1135453302</td><td>97854.9785856601</td><td>⋯               </td><td>117779.650470699</td><td>136031.239191592</td><td>128620.550613034</td><td>119218.084769048</td><td>109230.616353658</td><td>118539.701636203</td><td>129537.9602356  </td><td>105918.973493893</td><td>108391.366247501</td><td>121993.463816714</td></tr>\n",
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       "\t<tr><th scope=row>59</th><td>131576.809753847</td><td>129513.068541364</td><td>132666.329650744</td><td>110509.423521255</td><td>147825.245915574</td><td>138870.961874684</td><td>131165.931007255</td><td>111627.811986978</td><td>117380.340002063</td><td>129771.774007293</td><td>⋯               </td><td>111820.59058152 </td><td>156134.184171821</td><td>161512.470227534</td><td>161294.097706643</td><td>147646.977646005</td><td>138725.27630897 </td><td>157790.703880172</td><td>137376.70195852 </td><td>143520.3871929  </td><td>154930.491379199</td></tr>\n",
       "\t<tr><th scope=row>52</th><td>146292.3142137  </td><td>114630.412605033</td><td>124510.074323325</td><td>137416.976200177</td><td>118992.801652033</td><td>122808.208646654</td><td>108944.69472168 </td><td>137810.530620849</td><td>127975.314986915</td><td>118160.595157607</td><td>⋯               </td><td>137413.985951212</td><td>122719.62710178 </td><td>111474.381200346</td><td>120673.798291095</td><td>115007.101993746</td><td>101321.694123223</td><td>102290.66766817 </td><td>103982.128281739</td><td>109921.549356803</td><td>114675.426835918</td></tr>\n",
       "\t<tr><th scope=row>53</th><td>125260.795750306</td><td>107918.301617474</td><td>104758.98736624 </td><td>123460.821874796</td><td>110098.627543671</td><td>105379.23237052 </td><td>110035.813915289</td><td>133547.878770125</td><td>119231.604300202</td><td>113690.045263427</td><td>⋯               </td><td>119931.670942249</td><td>102833.580867341</td><td>84030.4486242933</td><td>101116.091914195</td><td>87274.2211136828</td><td>95270.3538777935</td><td>83002.4742884211</td><td>91028.0997604586</td><td>89059.1689777083</td><td>90762.7430061476</td></tr>\n",
       "\t<tr><th scope=row>51</th><td>119563.021532579</td><td>100986.85828364 </td><td>108365.665918685</td><td>92753.5421210425</td><td>122200.837415298</td><td>106407.598962668</td><td>96716.9950318971</td><td>113059.110990667</td><td>106451.981954307</td><td>100396.417316556</td><td>⋯               </td><td>79249.2852144421</td><td>116907.729616138</td><td>100996.686668425</td><td>98948.6528154881</td><td>90167.9525164013</td><td>77172.8046658925</td><td>107972.897784583</td><td>82243.3193396278</td><td>91287.3718046478</td><td>98840.1926647252</td></tr>\n",
       "\t<tr><th scope=row>50</th><td>111571.333598734</td><td>91490.7270109928</td><td>96750.9254167628</td><td>117469.567373852</td><td>96909.7695281544</td><td>97395.1085424725</td><td>95800.3486580294</td><td>128645.179128485</td><td>98890.5531231371</td><td>91703.2451715859</td><td>⋯               </td><td>111109.114216611</td><td>92347.2801494446</td><td>78498.2996185268</td><td>90208.9753572226</td><td>63298.6299377799</td><td>83625.7206187187</td><td>70314.7841566765</td><td>65831.9121779096</td><td>63570.7325268476</td><td>77662.2533216749</td></tr>\n",
       "\t<tr><th scope=row>54</th><td>121443.978562134</td><td>105489.585670814</td><td>110185.626381121</td><td>106679.414766861</td><td>115078.243538907</td><td>104694.663340592</td><td>89456.525066649 </td><td>115485.592629557</td><td>104769.525803069</td><td>109149.760984621</td><td>⋯               </td><td>119726.623246461</td><td>122526.566307067</td><td>110404.763099243</td><td>117380.510405263</td><td>108548.030557906</td><td>94719.3592619798</td><td>111749.681122588</td><td>86262.359178265 </td><td>106376.698454126</td><td>115328.910482151</td></tr>\n",
       "\t<tr><th scope=row>57</th><td>123630.179992589</td><td>103912.49746301 </td><td>112490.833239869</td><td>109090.610086295</td><td>127041.121067157</td><td>109797.540855886</td><td>84165.9510788062</td><td>112265.522975667</td><td>107564.128188723</td><td>104052.858274052</td><td>⋯               </td><td>110889.012981449</td><td>137595.572657699</td><td>118254.61040061 </td><td>109267.92150032 </td><td>112096.122172   </td><td>78006.4429582583</td><td>125060.530900041</td><td>93531.2583845636</td><td>113456.948557592</td><td>118941.324126647</td></tr>\n",
       "\t<tr><th scope=row>58</th><td>130139.752835173</td><td>136763.453846413</td><td>138157.175188262</td><td>113752.452439497</td><td>161925.149488892</td><td>137183.42650991 </td><td>141270.489749275</td><td>128731.630052602</td><td>125774.597641972</td><td>140812.557280947</td><td>⋯               </td><td>108790.033969109</td><td>141391.508889325</td><td>155024.720170688</td><td>160183.709564987</td><td>147040.885460473</td><td>144644.655303955</td><td>150611.714411595</td><td>126887.142382512</td><td>136219.897214027</td><td>145257.842769332</td></tr>\n",
       "\t<tr><th scope=row>60</th><td>147424.874142731</td><td>133248.156647662</td><td>138021.465982651</td><td>121755.067820604</td><td>148109.369490927</td><td>136291.791620039</td><td>122187.428682332</td><td>111913.554657155</td><td>127028.786241544</td><td>132320.025151146</td><td>⋯               </td><td>123754.202130675</td><td>151227.879744444</td><td>144742.549936085</td><td>144116.166692013</td><td>139599.843269969</td><td>117028.569187186</td><td>144057.702820779</td><td>119207.707301164</td><td>135742.819990598</td><td>140293.53858963 </td></tr>\n",
       "\t<tr><th scope=row>61</th><td>101303.33252169 </td><td>99757.2813182075</td><td>102612.766681344</td><td>99438.4519388752</td><td>119574.990098264</td><td>96988.6012632412</td><td>99894.5837971209</td><td>119739.586186023</td><td>101478.537622494</td><td>102277.115338672</td><td>⋯               </td><td>87634.902413365 </td><td>122285.724841455</td><td>118976.683270295</td><td>113977.460175247</td><td>99096.3693633627</td><td>107588.439109414</td><td>111973.781645526</td><td>86358.4214191065</td><td>94630.516626509 </td><td>108523.205527666</td></tr>\n",
       "\t<tr><th scope=row>65</th><td>102585.496440774</td><td>83294.3259772237</td><td>89829.0354840794</td><td>108657.019221033</td><td>96223.0160356658</td><td>86370.0686291264</td><td>74878.0787947981</td><td>112490.577143155</td><td>92767.6807622137</td><td>81078.7661351602</td><td>⋯               </td><td>107010.646764703</td><td>109499.227549787</td><td>92998.2419511251</td><td>88360.1463104266</td><td>73962.7612180616</td><td>72852.7950596269</td><td>91265.4742167048</td><td>71065.6733592246</td><td>78902.049067182 </td><td>88887.5228926985</td></tr>\n",
       "\t<tr><th scope=row></th><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋱</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td></tr>\n",
       "\t<tr><th scope=row>9</th><td>139013.57634778 </td><td>123645.035472517</td><td>118097.479020511</td><td>143624.608841939</td><td>98682.762142129 </td><td>112345.758531419</td><td>108407.497651223</td><td>150710.661105975</td><td>123176.488247555</td><td>120222.489747135</td><td>⋯               </td><td>146699.292227331</td><td>136910.169509062</td><td>119976.1176193  </td><td>113378.212611595</td><td>99862.6473712769</td><td>114983.06039152 </td><td>112489.181057558</td><td>103231.297439294</td><td>102728.343002309</td><td>117727.734425665</td></tr>\n",
       "\t<tr><th scope=row>10</th><td>114732.524590894</td><td>102559.629791649</td><td>98142.2834816879</td><td>118659.657327164</td><td>97300.3468236368</td><td>96826.1225496508</td><td>82671.5580898292</td><td>123845.505671381</td><td>99354.7592267225</td><td>96318.7495194991</td><td>⋯               </td><td>119183.931081333</td><td>129445.675319804</td><td>110752.576344751</td><td>95866.2086086646</td><td>89345.5496933115</td><td>92008.3159774159</td><td>106150.652767658</td><td>84555.5449571464</td><td>93449.8417334133</td><td>107902.519307938</td></tr>\n",
       "\t<tr><th scope=row>11</th><td>121155.117721044</td><td>98899.7280178262</td><td>97775.9916646208</td><td>113198.678746706</td><td>91682.7385880243</td><td>95858.3700727276</td><td>82409.3088916537</td><td>125961.360710338</td><td>99511.6022280819</td><td>95037.5594067945</td><td>⋯               </td><td>108658.080468044</td><td>131003.997091692</td><td>109379.759718149</td><td>91299.4691988951</td><td>83791.1419960368</td><td>86854.1962947099</td><td>105866.321112996</td><td>82347.4710844237</td><td>87292.0091703702</td><td>105676.950571068</td></tr>\n",
       "\t<tr><th scope=row>12</th><td>96022.3048515292</td><td>72476.2884466361</td><td>83746.6804058525</td><td>97316.5916121193</td><td>95422.6260799817</td><td>82230.9479454056</td><td>67067.0148359087</td><td>103177.68292126 </td><td>76610.1441259576</td><td>70512.4869863487</td><td>⋯               </td><td>93769.594688257 </td><td>120983.803374667</td><td>99564.7586397918</td><td>91220.0626013817</td><td>80721.8185127169</td><td>72340.6742089124</td><td>104126.751649132</td><td>70954.4871237894</td><td>83955.9685192185</td><td>95691.0556374001</td></tr>\n",
       "\t<tr><th scope=row>13</th><td>95335.6838702067</td><td>76779.5337378393</td><td>72302.1535433074</td><td>98117.3633308601</td><td>54920.1584848405</td><td>85930.6319539197</td><td>79471.3575258407</td><td>113908.067383307</td><td>79588.3275172936</td><td>79768.78317362  </td><td>⋯               </td><td>109297.781477942</td><td>120437.389439493</td><td>110355.858698123</td><td>106036.111749724</td><td>80702.6131671088</td><td>94790.9757149909</td><td>99387.802445773 </td><td>86223.0747827981</td><td>86036.6400320236</td><td>101502.044605023</td></tr>\n",
       "\t<tr><th scope=row>14</th><td>122539.062857523</td><td>86400.319108207 </td><td>96436.0401613422</td><td>104820.952848178</td><td>85607.4026530416</td><td>89686.83212713  </td><td>84886.1335672676</td><td>121679.451732821</td><td>98642.5148402047</td><td>90796.5119043678</td><td>⋯               </td><td>102658.203992667</td><td>125305.50865784 </td><td>106099.912902886</td><td>96654.025875801 </td><td>79983.9575477483</td><td>88583.7985638457</td><td>101097.778343542</td><td>81528.4719469217</td><td>78067.5907211181</td><td>99656.2550169331</td></tr>\n",
       "\t<tr><th scope=row>15</th><td>112437.512934963</td><td>91468.7203419836</td><td>93265.2567733559</td><td>119314.073792659</td><td>62914.0169914463</td><td>88941.4769047602</td><td>74370.1613350408</td><td>125023.732287114</td><td>90151.4587291853</td><td>88724.6068630343</td><td>⋯               </td><td>127660.461647293</td><td>126591.578546916</td><td>105914.150711791</td><td>104033.874199705</td><td>81236.6600495121</td><td>93884.1422445772</td><td>99821.0206770097</td><td>87236.9430402052</td><td>84792.7639129661</td><td>106186.268241237</td></tr>\n",
       "\t<tr><th scope=row>16</th><td>104436.345895478</td><td>78686.0457387458</td><td>89565.0864008962</td><td>97353.7868600909</td><td>72216.5637579081</td><td>74486.5197401516</td><td>62357.9159048793</td><td>110010.660101647</td><td>85278.2539338136</td><td>80303.699827592 </td><td>⋯               </td><td>100019.98634773 </td><td>129990.448695279</td><td>107276.627734097</td><td>94293.0507619729</td><td>80907.822236172 </td><td>82033.1470687307</td><td>102852.531111295</td><td>77027.5740627991</td><td>78746.5958692819</td><td>102714.005335202</td></tr>\n",
       "\t<tr><th scope=row>17</th><td>133954.967388298</td><td>110465.27246153 </td><td>109687.208762007</td><td>122182.118495302</td><td>89196.5011141132</td><td>105574.175417097</td><td>110887.678531025</td><td>141384.719634054</td><td>119712.104517463</td><td>111443.533755889</td><td>⋯               </td><td>126160.479814401</td><td>127940.828072981</td><td>119079.098056712</td><td>114987.655328735</td><td>91755.0827093519</td><td>114039.075382081</td><td>107114.109556118</td><td>101300.275843652</td><td>90414.9356301269</td><td>110954.542971435</td></tr>\n",
       "\t<tr><th scope=row>18</th><td>101119.276485742</td><td>82748.2651238079</td><td>92728.4260353857</td><td>105687.623622636</td><td>98133.8673241812</td><td>89509.9928723045</td><td>76131.1428720205</td><td>117148.768175342</td><td>79813.6033706034</td><td>87630.3912863568</td><td>⋯               </td><td>115164.659483715</td><td>124361.384629635</td><td>103462.47635254 </td><td>103085.235698426</td><td>89821.7126757222</td><td>87948.3983992887</td><td>108145.659159302</td><td>85409.1055625804</td><td>95232.4906006348</td><td>105375.902012747</td></tr>\n",
       "\t<tr><th scope=row>19</th><td>100086.195321832</td><td>64888.8592286842</td><td>79378.5656962886</td><td>88448.291922456 </td><td>76186.5834186046</td><td>80035.8509107013</td><td>66720.9469507141</td><td>100193.300165231</td><td>82723.1682662119</td><td>79327.0694277811</td><td>⋯               </td><td>97163.7244603149</td><td>131099.77723856 </td><td>103331.218564382</td><td>91342.0503382752</td><td>79793.841786193 </td><td>79775.7938725777</td><td>106041.239855068</td><td>82937.3448333138</td><td>84740.384062146 </td><td>98734.3685349737</td></tr>\n",
       "\t<tr><th scope=row>20</th><td>151359.742871082</td><td>136915.485639865</td><td>126484.84321056 </td><td>153195.375041155</td><td>86549.3382470369</td><td>132540.436663684</td><td>127927.577019187</td><td>159623.857627862</td><td>140017.593751643</td><td>131565.102683044</td><td>⋯               </td><td>164602.736310792</td><td>156631.734192021</td><td>137475.997774157</td><td>132309.087730208</td><td>114711.362606326</td><td>139102.853967846</td><td>128396.675837032</td><td>133710.654377278</td><td>123043.548262394</td><td>133408.831326865</td></tr>\n",
       "\t<tr><th scope=row>21</th><td>148725.958558014</td><td>118197.2836363  </td><td>129459.554297858</td><td>131772.938735539</td><td>112888.674356642</td><td>123780.816663973</td><td>116439.828027183</td><td>146233.070462874</td><td>137791.601663527</td><td>126421.048805173</td><td>⋯               </td><td>131572.433883394</td><td>170422.750860911</td><td>146724.83903893 </td><td>130413.308343129</td><td>122947.558194541</td><td>119490.790343859</td><td>143446.055445941</td><td>133460.273328807</td><td>131148.811553899</td><td>140269.916543071</td></tr>\n",
       "\t<tr><th scope=row>22</th><td>97039.176408294 </td><td>85374.0308524788</td><td>88230.0504136771</td><td>97569.3346190287</td><td>100402.491816687</td><td>88284.9959109701</td><td>86621.9132783385</td><td>116733.544870358</td><td>82845.4784402866</td><td>84413.7411444369</td><td>⋯               </td><td>92753.000032344 </td><td>131082.47946236 </td><td>113553.807122439</td><td>97738.7238815813</td><td>87607.118757553 </td><td>89204.6454059429</td><td>114030.68416878 </td><td>89525.765107035 </td><td>94743.839604483 </td><td>107061.308818826</td></tr>\n",
       "\t<tr><th scope=row>23</th><td>112395.281942793</td><td>102193.264499183</td><td>110792.523994176</td><td>115054.574906868</td><td>118659.453732098</td><td>92951.2384855629</td><td>82646.3679601227</td><td>116416.812071968</td><td>100640.332307679</td><td>109051.501580675</td><td>⋯               </td><td>104993.622311072</td><td>145138.914130567</td><td>125928.893495496</td><td>107770.582929666</td><td>109765.968988571</td><td>100340.875544316</td><td>132280.916548836</td><td>95238.0399367816</td><td>105492.14587826 </td><td>124174.843881521</td></tr>\n",
       "\t<tr><th scope=row>24</th><td>104472.194908502</td><td>75163.9538010076</td><td>87618.1065590897</td><td>105327.800304573</td><td>67916.8077577267</td><td>78223.0685284079</td><td>61829.0135858563</td><td>114773.64850435 </td><td>91263.971450951 </td><td>83036.099059385 </td><td>⋯               </td><td>106372.340568402</td><td>125763.465986748</td><td>104563.058223256</td><td>92216.6611139224</td><td>73601.0057268241</td><td>85734.674997926 </td><td>96824.959845073 </td><td>78036.8831707161</td><td>75527.4119641339</td><td>97411.3731398957</td></tr>\n",
       "\t<tr><th scope=row>25</th><td>100455.754414568</td><td>84006.0226114771</td><td>80387.5345249498</td><td>106164.405536884</td><td>84161.4071412782</td><td>86496.6540971384</td><td>87279.4096737598</td><td>111757.891287372</td><td>92620.4781730261</td><td>68795.894753975 </td><td>⋯               </td><td>111773.925921925</td><td>122262.464448415</td><td>96529.4272799751</td><td>83103.3138629261</td><td>70099.5102835961</td><td>84342.7388990896</td><td>101158.01370628 </td><td>89012.678439647 </td><td>83513.5627069041</td><td>88594.94136236  </td></tr>\n",
       "\t<tr><th scope=row>26</th><td>96423.8025022868</td><td>76825.3657654814</td><td>82523.9685727729</td><td>94425.3390727298</td><td>74122.927357195 </td><td>77243.8683650683</td><td>74618.7847059975</td><td>113683.022967372</td><td>78641.4727290887</td><td>68664.1769265459</td><td>⋯               </td><td>98846.3521734616</td><td>124776.205227599</td><td>111162.027226027</td><td>102549.710555418</td><td>77292.0036614397</td><td>88215.8576050814</td><td>102767.340167001</td><td>87414.6945598965</td><td>81665.2573987249</td><td>103419.008354364</td></tr>\n",
       "\t<tr><th scope=row>27</th><td>100889.019699866</td><td>75352.3585828606</td><td>94413.5022758927</td><td>96053.8511461149</td><td>98867.6573759083</td><td>62402.6812324599</td><td>73547.6111508729</td><td>108581.91361364 </td><td>90374.5190858574</td><td>87919.1821049309</td><td>⋯               </td><td>83929.1832618428</td><td>135903.819850658</td><td>114696.633403078</td><td>97311.8318088813</td><td>90015.1743152231</td><td>88584.5657662778</td><td>116250.633847734</td><td>82779.2433282644</td><td>89867.6872685617</td><td>104652.760364933</td></tr>\n",
       "\t<tr><th scope=row>34</th><td>116180.332307151</td><td>87656.8927751834</td><td>96869.9419995697</td><td>98685.6529643494</td><td>93928.6206861359</td><td>90219.1201353682</td><td>84797.7828542704</td><td>122562.601804139</td><td>104474.790916278</td><td>88797.9201614542</td><td>⋯               </td><td>96047.1122314461</td><td>109823.537235877</td><td>85722.9568260451</td><td>86804.7804501572</td><td>68493.0690508171</td><td>77836.1541894254</td><td>83969.2815915439</td><td>72144.2504361921</td><td>72573.3098321966</td><td>88704.5455486921</td></tr>\n",
       "\t<tr><th scope=row>35</th><td>117779.650470699</td><td>91413.8671592007</td><td>113191.21683682 </td><td>76272.8337286612</td><td>124334.479690873</td><td>104864.125047606</td><td>97652.2335689256</td><td>110525.995272605</td><td>101880.854045301</td><td>103923.933658229</td><td>⋯               </td><td>0               </td><td>142114.412544963</td><td>131936.891167709</td><td>118725.963179921</td><td>110432.546941561</td><td>100834.189494437</td><td>130860.754365088</td><td>96707.7814500984</td><td>107177.240625051</td><td>123061.562280836</td></tr>\n",
       "\t<tr><th scope=row>36</th><td>136031.239191592</td><td>129683.258726792</td><td>120374.432841862</td><td>138114.10801942 </td><td>129861.00468963 </td><td>125927.362034627</td><td>133363.211951422</td><td>144945.732224167</td><td>130697.111636027</td><td>131771.386780287</td><td>⋯               </td><td>142114.412544963</td><td>0               </td><td>90073.2351256465</td><td>129402.191140645</td><td>104821.708185852</td><td>125556.409147443</td><td>86763.6260998813</td><td>105636.157985796</td><td>102278.617789839</td><td>92275.5335503404</td></tr>\n",
       "\t<tr><th scope=row>37</th><td>128620.550613034</td><td>114292.294867152</td><td>97251.0110692943</td><td>125885.089331501</td><td>112328.335663803</td><td>112632.708113585</td><td>111403.195932612</td><td>130253.294829728</td><td>119685.714703134</td><td>112896.807040766</td><td>⋯               </td><td>131936.891167709</td><td>90073.2351256465</td><td>0               </td><td>86477.7952656056</td><td>82499.9479818018</td><td>93191.6235076952</td><td>85492.3813564694</td><td>94378.0107864115</td><td>90187.4135841582</td><td>76670.6436127935</td></tr>\n",
       "\t<tr><th scope=row>38</th><td>119218.084769048</td><td>107131.461336061</td><td>88294.7444189064</td><td>121789.679324646</td><td>102728.6884322  </td><td>105694.076082816</td><td>99165.2819186231</td><td>117571.748715412</td><td>112801.238769794</td><td>102245.018431217</td><td>⋯               </td><td>118725.963179921</td><td>129402.191140645</td><td>86477.7952656056</td><td>0               </td><td>79367.705264799 </td><td>81027.8421655174</td><td>107960.405038143</td><td>93848.7314032534</td><td>93607.4671754342</td><td>87276.1244212872</td></tr>\n",
       "\t<tr><th scope=row>28</th><td>109230.616353658</td><td>90504.1050063476</td><td>85095.2870316565</td><td>110847.203270989</td><td>82271.0042967752</td><td>90800.8308772558</td><td>90331.993064473 </td><td>122765.185867167</td><td>99492.9307790257</td><td>82643.2769497919</td><td>⋯               </td><td>110432.546941561</td><td>104821.708185852</td><td>82499.9479818018</td><td>79367.705264799 </td><td>0               </td><td>82274.160700672 </td><td>84411.8675009622</td><td>77753.7877341033</td><td>62455.3597539875</td><td>70333.3497496031</td></tr>\n",
       "\t<tr><th scope=row>29</th><td>118539.701636203</td><td>90631.1349923414</td><td>90383.4030339641</td><td>98573.1509286378</td><td>99771.3776841835</td><td>103478.898269164</td><td>77039.4635235734</td><td>104096.191227153</td><td>94102.1585831058</td><td>82259.8661802947</td><td>⋯               </td><td>100834.189494437</td><td>125556.409147443</td><td>93191.6235076952</td><td>81027.8421655174</td><td>82274.160700672 </td><td>0               </td><td>98261.8517431867</td><td>80665.2564738996</td><td>90737.2606650653</td><td>97952.7865453556</td></tr>\n",
       "\t<tr><th scope=row>30</th><td>129537.9602356  </td><td>109795.078560016</td><td>106316.88261043 </td><td>130349.399553661</td><td>99908.6183619812</td><td>113053.022476182</td><td>112335.677760897</td><td>139022.393634982</td><td>119220.509603004</td><td>106670.772388691</td><td>⋯               </td><td>130860.754365088</td><td>86763.6260998813</td><td>85492.3813564694</td><td>107960.405038143</td><td>84411.8675009622</td><td>98261.8517431867</td><td>0               </td><td>85488.2100175223</td><td>85221.709118041 </td><td>89968.411289741 </td></tr>\n",
       "\t<tr><th scope=row>31</th><td>105918.973493893</td><td>84080.5244274796</td><td>96237.0595560775</td><td>103235.654112327</td><td>94718.8465776479</td><td>83822.0093352575</td><td>79434.8565933117</td><td>115532.774510093</td><td>87250.9331984478</td><td>89961.29273193  </td><td>⋯               </td><td>96707.7814500984</td><td>105636.157985796</td><td>94378.0107864115</td><td>93848.7314032534</td><td>77753.7877341033</td><td>80665.2564738996</td><td>85488.2100175223</td><td>0               </td><td>67921.844520007 </td><td>89268.4855030038</td></tr>\n",
       "\t<tr><th scope=row>32</th><td>108391.366247501</td><td>88449.7392703902</td><td>94266.5720974302</td><td>111531.040078536</td><td>90727.6477155668</td><td>85829.852883481 </td><td>91030.549064586 </td><td>119322.482630056</td><td>100756.936431196</td><td>91779.1921025676</td><td>⋯               </td><td>107177.240625051</td><td>102278.617789839</td><td>90187.4135841582</td><td>93607.4671754342</td><td>62455.3597539875</td><td>90737.2606650653</td><td>85221.709118041 </td><td>67921.844520007 </td><td>0               </td><td>78707.6214289315</td></tr>\n",
       "\t<tr><th scope=row>33</th><td>121993.463816714</td><td>100042.754050456</td><td>95023.7579976713</td><td>127448.219006779</td><td>104320.326796842</td><td>100606.532277979</td><td>110556.010537646</td><td>120064.588101571</td><td>117482.216407421</td><td>109075.024666511</td><td>⋯               </td><td>123061.562280836</td><td>92275.5335503404</td><td>76670.6436127935</td><td>87276.1244212872</td><td>70333.3497496031</td><td>97952.7865453556</td><td>89968.411289741 </td><td>89268.4855030038</td><td>78707.6214289315</td><td>0               </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll}\n",
       "  & 39 & 40 & 42 & 47 & 48 & 49 & 41 & 43 & 44 & 45 &  & 35 & 36 & 37 & 38 & 28 & 29 & 30 & 31 & 32 & 33\\\\\n",
       "\\hline\n",
       "\t39 & 0                & 101530.75134165  & 94405.0427042963 & 115681.471662492 & 116666.762777579 & 93189.9424777159 & 101409.857528743 & 117607.803048947 & 86952.1135453302 & 97854.9785856601 & ⋯                & 117779.650470699 & 136031.239191592 & 128620.550613034 & 119218.084769048 & 109230.616353658 & 118539.701636203 & 129537.9602356   & 105918.973493893 & 108391.366247501 & 121993.463816714\\\\\n",
       "\t40 & 101530.75134165  & 0                & 89502.2884288441 & 98459.6550065051 & 92980.4060810664 & 79182.927964303  & 81381.9940773142 & 109351.494530253 & 87252.808401793  & 88662.6601901838 & ⋯                & 91413.8671592007 & 129683.258726792 & 114292.294867152 & 107131.461336061 & 90504.1050063476 & 90631.1349923414 & 109795.078560016 & 84080.5244274796 & 88449.7392703902 & 100042.754050456\\\\\n",
       "\t42 & 94405.0427042963 & 89502.2884288441 & 0                & 106954.738258761 & 88800.7424462206 & 91730.070876458  & 91400.2229975398 & 102774.803011244 & 90296.8667451978 & 90580.0811105841 & ⋯                & 113191.21683682  & 120374.432841862 & 97251.0110692943 & 88294.7444189064 & 85095.2870316565 & 90383.4030339641 & 106316.88261043  & 96237.0595560775 & 94266.5720974302 & 95023.7579976713\\\\\n",
       "\t47 & 115681.471662492 & 98459.6550065051 & 106954.738258761 & 0                & 115169.014396234 & 109182.775431842 & 93290.2490617321 & 105747.545446691 & 97237.7721258565 & 97784.6800270881 & ⋯                & 76272.8337286612 & 138114.10801942  & 125885.089331501 & 121789.679324646 & 110847.203270989 & 98573.1509286378 & 130349.399553661 & 103235.654112327 & 111531.040078536 & 127448.219006779\\\\\n",
       "\t48 & 116666.762777579 & 92980.4060810664 & 88800.7424462206 & 115169.014396234 & 0                & 96797.5663020512 & 92101.8278265964 & 124344.701563838 & 98684.8840248597 & 88248.9366564833 & ⋯                & 124334.479690873 & 129861.00468963  & 112328.335663803 & 102728.6884322   & 82271.0042967752 & 99771.3776841835 & 99908.6183619812 & 94718.8465776479 & 90727.6477155668 & 104320.326796842\\\\\n",
       "\t49 & 93189.9424777159 & 79182.927964303  & 91730.070876458  & 109182.775431842 & 96797.5663020512 & 0                & 83416.5873852437 & 115825.703567904 & 89241.8910545939 & 92708.7901819455 & ⋯                & 104864.125047606 & 125927.362034627 & 112632.708113585 & 105694.076082816 & 90800.8308772558 & 103478.898269164 & 113053.022476182 & 83822.0093352575 & 85829.852883481  & 100606.532277979\\\\\n",
       "\t41 & 101409.857528743 & 81381.9940773142 & 91400.2229975398 & 93290.2490617321 & 92101.8278265964 & 83416.5873852437 & 0                & 96494.1568904563 & 76495.7141805997 & 77813.4478608936 & ⋯                & 97652.2335689256 & 133363.211951422 & 111403.195932612 & 99165.2819186231 & 90331.993064473  & 77039.4635235734 & 112335.677760897 & 79434.8565933117 & 91030.549064586  & 110556.010537646\\\\\n",
       "\t43 & 117607.803048947 & 109351.494530253 & 102774.803011244 & 105747.545446691 & 124344.701563838 & 115825.703567904 & 96494.1568904563 & 0                & 107846.317442924 & 114440.595900231 & ⋯                & 110525.995272605 & 144945.732224167 & 130253.294829728 & 117571.748715412 & 122765.185867167 & 104096.191227153 & 139022.393634982 & 115532.774510093 & 119322.482630056 & 120064.588101571\\\\\n",
       "\t44 & 86952.1135453302 & 87252.808401793  & 90296.8667451978 & 97237.7721258565 & 98684.8840248597 & 89241.8910545939 & 76495.7141805997 & 107846.317442924 & 0                & 73557.527405426  & ⋯                & 101880.854045301 & 130697.111636027 & 119685.714703134 & 112801.238769794 & 99492.9307790257 & 94102.1585831058 & 119220.509603004 & 87250.9331984478 & 100756.936431196 & 117482.216407421\\\\\n",
       "\t45 & 97854.9785856601 & 88662.6601901838 & 90580.0811105841 & 97784.6800270881 & 88248.9366564833 & 92708.7901819455 & 77813.4478608936 & 114440.595900231 & 73557.527405426  & 0                & ⋯                & 103923.933658229 & 131771.386780287 & 112896.807040766 & 102245.018431217 & 82643.2769497919 & 82259.8661802947 & 106670.772388691 & 89961.29273193   & 91779.1921025676 & 109075.024666511\\\\\n",
       "\t46 & 92051.8848367593 & 89667.3888322839 & 90853.5671066359 & 93137.5871708088 & 103778.045775588 & 97774.9851393494 & 86164.8348225655 & 108309.93454896  & 60701.5280697282 & 67341.8403668923 & ⋯                & 91772.1338370205 & 131851.136240838 & 122629.851618601 & 113902.082184655 & 98956.6898142819 & 95964.4094443351 & 119740.404609305 & 94535.5741929989 & 100760.758279203 & 117334.827498062\\\\\n",
       "\t70 & 94474.1292471119 & 90543.0415051317 & 98962.5288530967 & 84884.5253329486 & 106380.763420837 & 82446.6710061722 & 71787.8693721997 & 102140.092152886 & 75369.6851990242 & 73550.3206043318 & ⋯                & 78297.3535184938 & 131345.050675692 & 116642.178713363 & 105495.372443534 & 93138.8902124134 & 88338.7688447151 & 117137.052622131 & 81481.3470004025 & 89789.6259486585 & 115285.709014604\\\\\n",
       "\t71 & 91210.449231434  & 75800.9960026912 & 76012.2278255282 & 102929.632880915 & 85124.8725579075 & 87899.0488458209 & 78620.6871949107 & 111293.897555077 & 84107.7911194914 & 77705.6944052365 & ⋯                & 104607.345956199 & 121683.652973602 & 102919.912023864 & 92218.7278756327 & 74663.2411833293 & 83278.0234095406 & 101235.998088625 & 82823.860807137  & 78003.7865747555 & 94976.6624966365\\\\\n",
       "\t72 & 85805.5319370494 & 75909.4173538435 & 72368.3974328574 & 85522.1064462283 & 78803.3894068015 & 83746.5995846996 & 73045.5381320447 & 106398.918016115 & 75438.3717016745 & 75249.0893034593 & ⋯                & 87490.7528828047 & 118659.364244884 & 104653.921957087 & 94655.3118266482 & 75133.7961905293 & 83681.2539401747 & 99689.5591975408 & 81692.1548558979 & 77858.9929937448 & 98954.6254654122\\\\\n",
       "\t68 & 113371.006527242 & 94525.0913091334 & 86831.7762745874 & 106406.654307896 & 72720.88323171   & 93627.3702610513 & 79041.1383837556 & 118776.311278807 & 92909.6209926615 & 81663.7217924826 & ⋯                & 114034.96953128  & 116602.289973225 & 106996.968400979 & 105919.584190083 & 78062.971785604  & 91675.3071497445 & 88044.3968290998 & 82559.1503166063 & 83379.4356541228 & 101970.751968395\\\\\n",
       "\t69 & 114328.27075575  & 93648.6553347137 & 81837.8932280151 & 116631.871390285 & 60917.9287976865 & 95780.4013825375 & 86820.861133716  & 120450.05646325  & 95714.8069005    & 82387.9940646694 & ⋯                & 124820.357854799 & 120591.500098473 & 106033.822424734 & 100949.554778612 & 75680.0174616787 & 94248.5113728594 & 93849.6951406876 & 89553.6454087716 & 83392.7434432997 & 95354.1322125056\\\\\n",
       "\t67 & 104923.776261627 & 95253.6643337147 & 85413.6313418415 & 97688.8063341957 & 101947.613449261 & 95155.9652885724 & 90714.1880468541 & 113487.211204611 & 94864.5158476024 & 95265.8546017407 & ⋯                & 103465.554616017 & 114463.166228268 & 108825.966519944 & 103737.016464712 & 87475.6447589842 & 95459.0105490309 & 103849.957818961 & 88200.1779419974 & 83420.1260368264 & 98790.3822191209\\\\\n",
       "\t55 & 111413.432713475 & 97525.7608275885 & 106238.206983175 & 86992.5883107291 & 120793.825214702 & 99316.8364880799 & 70971.4240169943 & 86383.7981510422 & 90214.1008102392 & 95888.6012255888 & ⋯                & 82203.8903094008 & 136278.633640788 & 126178.725120363 & 114127.608566026 & 109515.782844301 & 90223.3165151891 & 127565.108352559 & 89019.2765472737 & 108157.201692721 & 120731.36322845 \\\\\n",
       "\t56 & 108328.442414723 & 98873.494466414  & 113378.453199892 & 83151.6434594049 & 125261.308076357 & 105717.137007204 & 93574.8552336577 & 94646.2567775398 & 94726.3140209731 & 101458.691130923 & ⋯                & 68800.5136972101 & 146430.36153749  & 139515.331716625 & 129760.954235086 & 118854.082416213 & 107286.030488596 & 139303.208017619 & 107856.229500201 & 115581.606456218 & 130999.417517789\\\\\n",
       "\t59 & 131576.809753847 & 129513.068541364 & 132666.329650744 & 110509.423521255 & 147825.245915574 & 138870.961874684 & 131165.931007255 & 111627.811986978 & 117380.340002063 & 129771.774007293 & ⋯                & 111820.59058152  & 156134.184171821 & 161512.470227534 & 161294.097706643 & 147646.977646005 & 138725.27630897  & 157790.703880172 & 137376.70195852  & 143520.3871929   & 154930.491379199\\\\\n",
       "\t52 & 146292.3142137   & 114630.412605033 & 124510.074323325 & 137416.976200177 & 118992.801652033 & 122808.208646654 & 108944.69472168  & 137810.530620849 & 127975.314986915 & 118160.595157607 & ⋯                & 137413.985951212 & 122719.62710178  & 111474.381200346 & 120673.798291095 & 115007.101993746 & 101321.694123223 & 102290.66766817  & 103982.128281739 & 109921.549356803 & 114675.426835918\\\\\n",
       "\t53 & 125260.795750306 & 107918.301617474 & 104758.98736624  & 123460.821874796 & 110098.627543671 & 105379.23237052  & 110035.813915289 & 133547.878770125 & 119231.604300202 & 113690.045263427 & ⋯                & 119931.670942249 & 102833.580867341 & 84030.4486242933 & 101116.091914195 & 87274.2211136828 & 95270.3538777935 & 83002.4742884211 & 91028.0997604586 & 89059.1689777083 & 90762.7430061476\\\\\n",
       "\t51 & 119563.021532579 & 100986.85828364  & 108365.665918685 & 92753.5421210425 & 122200.837415298 & 106407.598962668 & 96716.9950318971 & 113059.110990667 & 106451.981954307 & 100396.417316556 & ⋯                & 79249.2852144421 & 116907.729616138 & 100996.686668425 & 98948.6528154881 & 90167.9525164013 & 77172.8046658925 & 107972.897784583 & 82243.3193396278 & 91287.3718046478 & 98840.1926647252\\\\\n",
       "\t50 & 111571.333598734 & 91490.7270109928 & 96750.9254167628 & 117469.567373852 & 96909.7695281544 & 97395.1085424725 & 95800.3486580294 & 128645.179128485 & 98890.5531231371 & 91703.2451715859 & ⋯                & 111109.114216611 & 92347.2801494446 & 78498.2996185268 & 90208.9753572226 & 63298.6299377799 & 83625.7206187187 & 70314.7841566765 & 65831.9121779096 & 63570.7325268476 & 77662.2533216749\\\\\n",
       "\t54 & 121443.978562134 & 105489.585670814 & 110185.626381121 & 106679.414766861 & 115078.243538907 & 104694.663340592 & 89456.525066649  & 115485.592629557 & 104769.525803069 & 109149.760984621 & ⋯                & 119726.623246461 & 122526.566307067 & 110404.763099243 & 117380.510405263 & 108548.030557906 & 94719.3592619798 & 111749.681122588 & 86262.359178265  & 106376.698454126 & 115328.910482151\\\\\n",
       "\t57 & 123630.179992589 & 103912.49746301  & 112490.833239869 & 109090.610086295 & 127041.121067157 & 109797.540855886 & 84165.9510788062 & 112265.522975667 & 107564.128188723 & 104052.858274052 & ⋯                & 110889.012981449 & 137595.572657699 & 118254.61040061  & 109267.92150032  & 112096.122172    & 78006.4429582583 & 125060.530900041 & 93531.2583845636 & 113456.948557592 & 118941.324126647\\\\\n",
       "\t58 & 130139.752835173 & 136763.453846413 & 138157.175188262 & 113752.452439497 & 161925.149488892 & 137183.42650991  & 141270.489749275 & 128731.630052602 & 125774.597641972 & 140812.557280947 & ⋯                & 108790.033969109 & 141391.508889325 & 155024.720170688 & 160183.709564987 & 147040.885460473 & 144644.655303955 & 150611.714411595 & 126887.142382512 & 136219.897214027 & 145257.842769332\\\\\n",
       "\t60 & 147424.874142731 & 133248.156647662 & 138021.465982651 & 121755.067820604 & 148109.369490927 & 136291.791620039 & 122187.428682332 & 111913.554657155 & 127028.786241544 & 132320.025151146 & ⋯                & 123754.202130675 & 151227.879744444 & 144742.549936085 & 144116.166692013 & 139599.843269969 & 117028.569187186 & 144057.702820779 & 119207.707301164 & 135742.819990598 & 140293.53858963 \\\\\n",
       "\t61 & 101303.33252169  & 99757.2813182075 & 102612.766681344 & 99438.4519388752 & 119574.990098264 & 96988.6012632412 & 99894.5837971209 & 119739.586186023 & 101478.537622494 & 102277.115338672 & ⋯                & 87634.902413365  & 122285.724841455 & 118976.683270295 & 113977.460175247 & 99096.3693633627 & 107588.439109414 & 111973.781645526 & 86358.4214191065 & 94630.516626509  & 108523.205527666\\\\\n",
       "\t65 & 102585.496440774 & 83294.3259772237 & 89829.0354840794 & 108657.019221033 & 96223.0160356658 & 86370.0686291264 & 74878.0787947981 & 112490.577143155 & 92767.6807622137 & 81078.7661351602 & ⋯                & 107010.646764703 & 109499.227549787 & 92998.2419511251 & 88360.1463104266 & 73962.7612180616 & 72852.7950596269 & 91265.4742167048 & 71065.6733592246 & 78902.049067182  & 88887.5228926985\\\\\n",
       "\t & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋱ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮\\\\\n",
       "\t9 & 139013.57634778  & 123645.035472517 & 118097.479020511 & 143624.608841939 & 98682.762142129  & 112345.758531419 & 108407.497651223 & 150710.661105975 & 123176.488247555 & 120222.489747135 & ⋯                & 146699.292227331 & 136910.169509062 & 119976.1176193   & 113378.212611595 & 99862.6473712769 & 114983.06039152  & 112489.181057558 & 103231.297439294 & 102728.343002309 & 117727.734425665\\\\\n",
       "\t10 & 114732.524590894 & 102559.629791649 & 98142.2834816879 & 118659.657327164 & 97300.3468236368 & 96826.1225496508 & 82671.5580898292 & 123845.505671381 & 99354.7592267225 & 96318.7495194991 & ⋯                & 119183.931081333 & 129445.675319804 & 110752.576344751 & 95866.2086086646 & 89345.5496933115 & 92008.3159774159 & 106150.652767658 & 84555.5449571464 & 93449.8417334133 & 107902.519307938\\\\\n",
       "\t11 & 121155.117721044 & 98899.7280178262 & 97775.9916646208 & 113198.678746706 & 91682.7385880243 & 95858.3700727276 & 82409.3088916537 & 125961.360710338 & 99511.6022280819 & 95037.5594067945 & ⋯                & 108658.080468044 & 131003.997091692 & 109379.759718149 & 91299.4691988951 & 83791.1419960368 & 86854.1962947099 & 105866.321112996 & 82347.4710844237 & 87292.0091703702 & 105676.950571068\\\\\n",
       "\t12 & 96022.3048515292 & 72476.2884466361 & 83746.6804058525 & 97316.5916121193 & 95422.6260799817 & 82230.9479454056 & 67067.0148359087 & 103177.68292126  & 76610.1441259576 & 70512.4869863487 & ⋯                & 93769.594688257  & 120983.803374667 & 99564.7586397918 & 91220.0626013817 & 80721.8185127169 & 72340.6742089124 & 104126.751649132 & 70954.4871237894 & 83955.9685192185 & 95691.0556374001\\\\\n",
       "\t13 & 95335.6838702067 & 76779.5337378393 & 72302.1535433074 & 98117.3633308601 & 54920.1584848405 & 85930.6319539197 & 79471.3575258407 & 113908.067383307 & 79588.3275172936 & 79768.78317362   & ⋯                & 109297.781477942 & 120437.389439493 & 110355.858698123 & 106036.111749724 & 80702.6131671088 & 94790.9757149909 & 99387.802445773  & 86223.0747827981 & 86036.6400320236 & 101502.044605023\\\\\n",
       "\t14 & 122539.062857523 & 86400.319108207  & 96436.0401613422 & 104820.952848178 & 85607.4026530416 & 89686.83212713   & 84886.1335672676 & 121679.451732821 & 98642.5148402047 & 90796.5119043678 & ⋯                & 102658.203992667 & 125305.50865784  & 106099.912902886 & 96654.025875801  & 79983.9575477483 & 88583.7985638457 & 101097.778343542 & 81528.4719469217 & 78067.5907211181 & 99656.2550169331\\\\\n",
       "\t15 & 112437.512934963 & 91468.7203419836 & 93265.2567733559 & 119314.073792659 & 62914.0169914463 & 88941.4769047602 & 74370.1613350408 & 125023.732287114 & 90151.4587291853 & 88724.6068630343 & ⋯                & 127660.461647293 & 126591.578546916 & 105914.150711791 & 104033.874199705 & 81236.6600495121 & 93884.1422445772 & 99821.0206770097 & 87236.9430402052 & 84792.7639129661 & 106186.268241237\\\\\n",
       "\t16 & 104436.345895478 & 78686.0457387458 & 89565.0864008962 & 97353.7868600909 & 72216.5637579081 & 74486.5197401516 & 62357.9159048793 & 110010.660101647 & 85278.2539338136 & 80303.699827592  & ⋯                & 100019.98634773  & 129990.448695279 & 107276.627734097 & 94293.0507619729 & 80907.822236172  & 82033.1470687307 & 102852.531111295 & 77027.5740627991 & 78746.5958692819 & 102714.005335202\\\\\n",
       "\t17 & 133954.967388298 & 110465.27246153  & 109687.208762007 & 122182.118495302 & 89196.5011141132 & 105574.175417097 & 110887.678531025 & 141384.719634054 & 119712.104517463 & 111443.533755889 & ⋯                & 126160.479814401 & 127940.828072981 & 119079.098056712 & 114987.655328735 & 91755.0827093519 & 114039.075382081 & 107114.109556118 & 101300.275843652 & 90414.9356301269 & 110954.542971435\\\\\n",
       "\t18 & 101119.276485742 & 82748.2651238079 & 92728.4260353857 & 105687.623622636 & 98133.8673241812 & 89509.9928723045 & 76131.1428720205 & 117148.768175342 & 79813.6033706034 & 87630.3912863568 & ⋯                & 115164.659483715 & 124361.384629635 & 103462.47635254  & 103085.235698426 & 89821.7126757222 & 87948.3983992887 & 108145.659159302 & 85409.1055625804 & 95232.4906006348 & 105375.902012747\\\\\n",
       "\t19 & 100086.195321832 & 64888.8592286842 & 79378.5656962886 & 88448.291922456  & 76186.5834186046 & 80035.8509107013 & 66720.9469507141 & 100193.300165231 & 82723.1682662119 & 79327.0694277811 & ⋯                & 97163.7244603149 & 131099.77723856  & 103331.218564382 & 91342.0503382752 & 79793.841786193  & 79775.7938725777 & 106041.239855068 & 82937.3448333138 & 84740.384062146  & 98734.3685349737\\\\\n",
       "\t20 & 151359.742871082 & 136915.485639865 & 126484.84321056  & 153195.375041155 & 86549.3382470369 & 132540.436663684 & 127927.577019187 & 159623.857627862 & 140017.593751643 & 131565.102683044 & ⋯                & 164602.736310792 & 156631.734192021 & 137475.997774157 & 132309.087730208 & 114711.362606326 & 139102.853967846 & 128396.675837032 & 133710.654377278 & 123043.548262394 & 133408.831326865\\\\\n",
       "\t21 & 148725.958558014 & 118197.2836363   & 129459.554297858 & 131772.938735539 & 112888.674356642 & 123780.816663973 & 116439.828027183 & 146233.070462874 & 137791.601663527 & 126421.048805173 & ⋯                & 131572.433883394 & 170422.750860911 & 146724.83903893  & 130413.308343129 & 122947.558194541 & 119490.790343859 & 143446.055445941 & 133460.273328807 & 131148.811553899 & 140269.916543071\\\\\n",
       "\t22 & 97039.176408294  & 85374.0308524788 & 88230.0504136771 & 97569.3346190287 & 100402.491816687 & 88284.9959109701 & 86621.9132783385 & 116733.544870358 & 82845.4784402866 & 84413.7411444369 & ⋯                & 92753.000032344  & 131082.47946236  & 113553.807122439 & 97738.7238815813 & 87607.118757553  & 89204.6454059429 & 114030.68416878  & 89525.765107035  & 94743.839604483  & 107061.308818826\\\\\n",
       "\t23 & 112395.281942793 & 102193.264499183 & 110792.523994176 & 115054.574906868 & 118659.453732098 & 92951.2384855629 & 82646.3679601227 & 116416.812071968 & 100640.332307679 & 109051.501580675 & ⋯                & 104993.622311072 & 145138.914130567 & 125928.893495496 & 107770.582929666 & 109765.968988571 & 100340.875544316 & 132280.916548836 & 95238.0399367816 & 105492.14587826  & 124174.843881521\\\\\n",
       "\t24 & 104472.194908502 & 75163.9538010076 & 87618.1065590897 & 105327.800304573 & 67916.8077577267 & 78223.0685284079 & 61829.0135858563 & 114773.64850435  & 91263.971450951  & 83036.099059385  & ⋯                & 106372.340568402 & 125763.465986748 & 104563.058223256 & 92216.6611139224 & 73601.0057268241 & 85734.674997926  & 96824.959845073  & 78036.8831707161 & 75527.4119641339 & 97411.3731398957\\\\\n",
       "\t25 & 100455.754414568 & 84006.0226114771 & 80387.5345249498 & 106164.405536884 & 84161.4071412782 & 86496.6540971384 & 87279.4096737598 & 111757.891287372 & 92620.4781730261 & 68795.894753975  & ⋯                & 111773.925921925 & 122262.464448415 & 96529.4272799751 & 83103.3138629261 & 70099.5102835961 & 84342.7388990896 & 101158.01370628  & 89012.678439647  & 83513.5627069041 & 88594.94136236  \\\\\n",
       "\t26 & 96423.8025022868 & 76825.3657654814 & 82523.9685727729 & 94425.3390727298 & 74122.927357195  & 77243.8683650683 & 74618.7847059975 & 113683.022967372 & 78641.4727290887 & 68664.1769265459 & ⋯                & 98846.3521734616 & 124776.205227599 & 111162.027226027 & 102549.710555418 & 77292.0036614397 & 88215.8576050814 & 102767.340167001 & 87414.6945598965 & 81665.2573987249 & 103419.008354364\\\\\n",
       "\t27 & 100889.019699866 & 75352.3585828606 & 94413.5022758927 & 96053.8511461149 & 98867.6573759083 & 62402.6812324599 & 73547.6111508729 & 108581.91361364  & 90374.5190858574 & 87919.1821049309 & ⋯                & 83929.1832618428 & 135903.819850658 & 114696.633403078 & 97311.8318088813 & 90015.1743152231 & 88584.5657662778 & 116250.633847734 & 82779.2433282644 & 89867.6872685617 & 104652.760364933\\\\\n",
       "\t34 & 116180.332307151 & 87656.8927751834 & 96869.9419995697 & 98685.6529643494 & 93928.6206861359 & 90219.1201353682 & 84797.7828542704 & 122562.601804139 & 104474.790916278 & 88797.9201614542 & ⋯                & 96047.1122314461 & 109823.537235877 & 85722.9568260451 & 86804.7804501572 & 68493.0690508171 & 77836.1541894254 & 83969.2815915439 & 72144.2504361921 & 72573.3098321966 & 88704.5455486921\\\\\n",
       "\t35 & 117779.650470699 & 91413.8671592007 & 113191.21683682  & 76272.8337286612 & 124334.479690873 & 104864.125047606 & 97652.2335689256 & 110525.995272605 & 101880.854045301 & 103923.933658229 & ⋯                & 0                & 142114.412544963 & 131936.891167709 & 118725.963179921 & 110432.546941561 & 100834.189494437 & 130860.754365088 & 96707.7814500984 & 107177.240625051 & 123061.562280836\\\\\n",
       "\t36 & 136031.239191592 & 129683.258726792 & 120374.432841862 & 138114.10801942  & 129861.00468963  & 125927.362034627 & 133363.211951422 & 144945.732224167 & 130697.111636027 & 131771.386780287 & ⋯                & 142114.412544963 & 0                & 90073.2351256465 & 129402.191140645 & 104821.708185852 & 125556.409147443 & 86763.6260998813 & 105636.157985796 & 102278.617789839 & 92275.5335503404\\\\\n",
       "\t37 & 128620.550613034 & 114292.294867152 & 97251.0110692943 & 125885.089331501 & 112328.335663803 & 112632.708113585 & 111403.195932612 & 130253.294829728 & 119685.714703134 & 112896.807040766 & ⋯                & 131936.891167709 & 90073.2351256465 & 0                & 86477.7952656056 & 82499.9479818018 & 93191.6235076952 & 85492.3813564694 & 94378.0107864115 & 90187.4135841582 & 76670.6436127935\\\\\n",
       "\t38 & 119218.084769048 & 107131.461336061 & 88294.7444189064 & 121789.679324646 & 102728.6884322   & 105694.076082816 & 99165.2819186231 & 117571.748715412 & 112801.238769794 & 102245.018431217 & ⋯                & 118725.963179921 & 129402.191140645 & 86477.7952656056 & 0                & 79367.705264799  & 81027.8421655174 & 107960.405038143 & 93848.7314032534 & 93607.4671754342 & 87276.1244212872\\\\\n",
       "\t28 & 109230.616353658 & 90504.1050063476 & 85095.2870316565 & 110847.203270989 & 82271.0042967752 & 90800.8308772558 & 90331.993064473  & 122765.185867167 & 99492.9307790257 & 82643.2769497919 & ⋯                & 110432.546941561 & 104821.708185852 & 82499.9479818018 & 79367.705264799  & 0                & 82274.160700672  & 84411.8675009622 & 77753.7877341033 & 62455.3597539875 & 70333.3497496031\\\\\n",
       "\t29 & 118539.701636203 & 90631.1349923414 & 90383.4030339641 & 98573.1509286378 & 99771.3776841835 & 103478.898269164 & 77039.4635235734 & 104096.191227153 & 94102.1585831058 & 82259.8661802947 & ⋯                & 100834.189494437 & 125556.409147443 & 93191.6235076952 & 81027.8421655174 & 82274.160700672  & 0                & 98261.8517431867 & 80665.2564738996 & 90737.2606650653 & 97952.7865453556\\\\\n",
       "\t30 & 129537.9602356   & 109795.078560016 & 106316.88261043  & 130349.399553661 & 99908.6183619812 & 113053.022476182 & 112335.677760897 & 139022.393634982 & 119220.509603004 & 106670.772388691 & ⋯                & 130860.754365088 & 86763.6260998813 & 85492.3813564694 & 107960.405038143 & 84411.8675009622 & 98261.8517431867 & 0                & 85488.2100175223 & 85221.709118041  & 89968.411289741 \\\\\n",
       "\t31 & 105918.973493893 & 84080.5244274796 & 96237.0595560775 & 103235.654112327 & 94718.8465776479 & 83822.0093352575 & 79434.8565933117 & 115532.774510093 & 87250.9331984478 & 89961.29273193   & ⋯                & 96707.7814500984 & 105636.157985796 & 94378.0107864115 & 93848.7314032534 & 77753.7877341033 & 80665.2564738996 & 85488.2100175223 & 0                & 67921.844520007  & 89268.4855030038\\\\\n",
       "\t32 & 108391.366247501 & 88449.7392703902 & 94266.5720974302 & 111531.040078536 & 90727.6477155668 & 85829.852883481  & 91030.549064586  & 119322.482630056 & 100756.936431196 & 91779.1921025676 & ⋯                & 107177.240625051 & 102278.617789839 & 90187.4135841582 & 93607.4671754342 & 62455.3597539875 & 90737.2606650653 & 85221.709118041  & 67921.844520007  & 0                & 78707.6214289315\\\\\n",
       "\t33 & 121993.463816714 & 100042.754050456 & 95023.7579976713 & 127448.219006779 & 104320.326796842 & 100606.532277979 & 110556.010537646 & 120064.588101571 & 117482.216407421 & 109075.024666511 & ⋯                & 123061.562280836 & 92275.5335503404 & 76670.6436127935 & 87276.1244212872 & 70333.3497496031 & 97952.7865453556 & 89968.411289741  & 89268.4855030038 & 78707.6214289315 & 0               \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "1. 0\n",
       "2. 101530.75134165\n",
       "3. 94405.0427042963\n",
       "4. 115681.471662492\n",
       "5. 116666.762777579\n",
       "6. 93189.9424777159\n",
       "7. 101409.857528743\n",
       "8. 117607.803048947\n",
       "9. 86952.1135453302\n",
       "10. 97854.9785856601\n",
       "11. 92051.8848367593\n",
       "12. 94474.1292471119\n",
       "13. 91210.449231434\n",
       "14. 85805.5319370494\n",
       "15. 113371.006527242\n",
       "16. 114328.27075575\n",
       "17. 104923.776261627\n",
       "18. 111413.432713475\n",
       "19. 108328.442414723\n",
       "20. 131576.809753847\n",
       "21. 146292.3142137\n",
       "22. 125260.795750306\n",
       "23. 119563.021532579\n",
       "24. 111571.333598734\n",
       "25. 121443.978562134\n",
       "26. 123630.179992589\n",
       "27. 130139.752835173\n",
       "28. 147424.874142731\n",
       "29. 101303.33252169\n",
       "30. 102585.496440774\n",
       "31. 121433.885942104\n",
       "32. 125165.693506647\n",
       "33. 136150.367013828\n",
       "34. 134686.50093829\n",
       "35. 96244.2354637409\n",
       "36. 118572.883417753\n",
       "37. 125121.103603669\n",
       "38. 104271.153805835\n",
       "39. 108967.472375934\n",
       "40. 114170.440233013\n",
       "41. 108355.683828768\n",
       "42. 94539.4293456439\n",
       "43. 139013.57634778\n",
       "44. 114732.524590894\n",
       "45. 121155.117721044\n",
       "46. 96022.3048515292\n",
       "47. 95335.6838702067\n",
       "48. 122539.062857523\n",
       "49. 112437.512934963\n",
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       "61 101303.33  99757.28 102612.77  99438.45 119574.99  96988.60  99894.58\n",
       "65 102585.50  83294.33  89829.04 108657.02  96223.02  86370.07  74878.08\n",
       "66 121433.89 103875.60 110451.52  77218.05 117468.47 113785.77  86325.76\n",
       "63 125165.69 101463.70 107254.25 132092.65 102745.73 100148.58 108930.40\n",
       "64 136150.37 114366.44 135081.57 137038.93 142661.54 116323.91 121655.85\n",
       "62 134686.50 119255.87 130213.77 120742.54 143562.07 123848.06 123916.12\n",
       "1   96244.24  74056.42  84472.41 101684.38  71945.79  71911.04  83305.60\n",
       "2  118572.88  98464.77  91919.90 115858.93  84548.94  95059.47  97956.94\n",
       "3  125121.10 109343.31 110117.24 119516.78  99655.96  96877.56 103517.97\n",
       "4  104271.15  74924.63  89357.45  95092.89  75995.25  72112.10  64981.05\n",
       "5  108967.47  84841.67  85457.43 108922.79  70145.98  87025.88  64495.93\n",
       "6  114170.44 112068.60 114210.45 127132.98 124423.12  98064.91  93563.84\n",
       "7  108355.68  92657.01 106316.67  95667.08 109795.78  85273.68  88658.31\n",
       "8   94539.43  74676.17  86509.12 107828.79  94627.54  71993.07  90935.71\n",
       "9  139013.58 123645.04 118097.48 143624.61  98682.76 112345.76 108407.50\n",
       "10 114732.52 102559.63  98142.28 118659.66  97300.35  96826.12  82671.56\n",
       "11 121155.12  98899.73  97775.99 113198.68  91682.74  95858.37  82409.31\n",
       "12  96022.30  72476.29  83746.68  97316.59  95422.63  82230.95  67067.01\n",
       "13  95335.68  76779.53  72302.15  98117.36  54920.16  85930.63  79471.36\n",
       "14 122539.06  86400.32  96436.04 104820.95  85607.40  89686.83  84886.13\n",
       "15 112437.51  91468.72  93265.26 119314.07  62914.02  88941.48  74370.16\n",
       "16 104436.35  78686.05  89565.09  97353.79  72216.56  74486.52  62357.92\n",
       "17 133954.97 110465.27 109687.21 122182.12  89196.50 105574.18 110887.68\n",
       "18 101119.28  82748.27  92728.43 105687.62  98133.87  89509.99  76131.14\n",
       "19 100086.20  64888.86  79378.57  88448.29  76186.58  80035.85  66720.95\n",
       "20 151359.74 136915.49 126484.84 153195.38  86549.34 132540.44 127927.58\n",
       "21 148725.96 118197.28 129459.55 131772.94 112888.67 123780.82 116439.83\n",
       "22  97039.18  85374.03  88230.05  97569.33 100402.49  88285.00  86621.91\n",
       "23 112395.28 102193.26 110792.52 115054.57 118659.45  92951.24  82646.37\n",
       "24 104472.19  75163.95  87618.11 105327.80  67916.81  78223.07  61829.01\n",
       "25 100455.75  84006.02  80387.53 106164.41  84161.41  86496.65  87279.41\n",
       "26  96423.80  76825.37  82523.97  94425.34  74122.93  77243.87  74618.78\n",
       "27 100889.02  75352.36  94413.50  96053.85  98867.66  62402.68  73547.61\n",
       "34 116180.33  87656.89  96869.94  98685.65  93928.62  90219.12  84797.78\n",
       "35 117779.65  91413.87 113191.22  76272.83 124334.48 104864.13  97652.23\n",
       "36 136031.24 129683.26 120374.43 138114.11 129861.00 125927.36 133363.21\n",
       "37 128620.55 114292.29  97251.01 125885.09 112328.34 112632.71 111403.20\n",
       "38 119218.08 107131.46  88294.74 121789.68 102728.69 105694.08  99165.28\n",
       "28 109230.62  90504.11  85095.29 110847.20  82271.00  90800.83  90331.99\n",
       "29 118539.70  90631.13  90383.40  98573.15  99771.38 103478.90  77039.46\n",
       "30 129537.96 109795.08 106316.88 130349.40  99908.62 113053.02 112335.68\n",
       "31 105918.97  84080.52  96237.06 103235.65  94718.85  83822.01  79434.86\n",
       "32 108391.37  88449.74  94266.57 111531.04  90727.65  85829.85  91030.55\n",
       "33 121993.46 100042.75  95023.76 127448.22 104320.33 100606.53 110556.01\n",
       "          43        44        45        46        70        71        72\n",
       "39 117607.80  86952.11  97854.98  92051.88  94474.13  91210.45  85805.53\n",
       "40 109351.49  87252.81  88662.66  89667.39  90543.04  75801.00  75909.42\n",
       "42 102774.80  90296.87  90580.08  90853.57  98962.53  76012.23  72368.40\n",
       "47 105747.55  97237.77  97784.68  93137.59  84884.53 102929.63  85522.11\n",
       "48 124344.70  98684.88  88248.94 103778.05 106380.76  85124.87  78803.39\n",
       "49 115825.70  89241.89  92708.79  97774.99  82446.67  87899.05  83746.60\n",
       "41  96494.16  76495.71  77813.45  86164.83  71787.87  78620.69  73045.54\n",
       "43      0.00 107846.32 114440.60 108309.93 102140.09 111293.90 106398.92\n",
       "44 107846.32      0.00  73557.53  60701.53  75369.69  84107.79  75438.37\n",
       "45 114440.60  73557.53      0.00  67341.84  73550.32  77705.69  75249.09\n",
       "46 108309.93  60701.53  67341.84      0.00  68248.61  85099.32  77517.71\n",
       "70 102140.09  75369.69  73550.32  68248.61      0.00  82128.37  72886.68\n",
       "71 111293.90  84107.79  77705.69  85099.32  82128.37      0.00  53675.32\n",
       "72 106398.92  75438.37  75249.09  77517.71  72886.68  53675.32      0.00\n",
       "68 118776.31  92909.62  81663.72  95819.89  94246.46  82746.58  72458.65\n",
       "69 120450.06  95714.81  82387.99  97724.52 100342.85  69680.54  73760.34\n",
       "67 113487.21  94864.52  95265.85  90935.43  89954.66  75623.82  73390.12\n",
       "55  86383.80  90214.10  95888.60  90463.74  78168.95  99285.22  92337.17\n",
       "56  94646.26  94726.31 101458.69  88846.89  81540.56 105232.89  88682.68\n",
       "59 111627.81 117380.34 129771.77 105787.26 120131.42 136458.80 119736.87\n",
       "52 137810.53 127975.31 118160.60 133966.77 124106.45 113964.60 117021.70\n",
       "53 133547.88 119231.60 113690.05 117790.32 112433.36 102646.98  96163.79\n",
       "51 113059.11 106451.98 100396.42  96671.98  84124.83 101838.13  91689.29\n",
       "50 128645.18  98890.55  91703.25  99782.06  98577.74  79902.55  83003.95\n",
       "54 115485.59 104769.53 109149.76 117770.46 105287.41 105384.99 104035.55\n",
       "57 112265.52 107564.13 104052.86 112181.42  98670.59 101905.71 107514.69\n",
       "58 128731.63 125774.60 140812.56 120541.70 123257.61 140461.29 128070.21\n",
       "60 111913.55 127028.79 132320.03 130189.71 117340.60 132097.83 129088.18\n",
       "61 119739.59 101478.54 102277.12  96606.35  93119.46  99831.52  87132.88\n",
       "65 112490.58  92767.68  81078.77  97545.30  88112.14  73500.19  78743.95\n",
       "66 105998.19  95362.03  93403.23  89319.23  75871.78  97756.14  87601.44\n",
       "63 135472.06 118662.65 111809.96 123343.53 119101.06  97673.15 101363.71\n",
       "64 144932.11 147728.49 149390.39 145698.96 135915.70 132152.25 128341.03\n",
       "62 134055.91 134553.86 141767.08 137771.61 127702.20 127981.94 121056.29\n",
       "1  115469.97  76215.26  83002.23  84311.41  83298.16  70427.45  60936.54\n",
       "2  128590.13 107252.07  97825.69 110285.37 102642.75  82742.10  83679.76\n",
       "3  132917.49 106598.67 112832.61 115692.96 102304.19 103878.75  94722.79\n",
       "4  111316.24  83574.75  76397.69  87213.54  74542.06  75920.28  66828.46\n",
       "5  118053.81  88123.93  79733.51  98268.57  91853.66  74207.06  72961.76\n",
       "6  122682.57 101987.48 118752.35 117448.50 100007.91 108554.35 109664.36\n",
       "7  114043.18  97443.95 100924.35  90261.21  73998.51  99053.32  84990.08\n",
       "8  107959.38  94726.78  97161.48  95765.60  92287.58  83398.19  76727.63\n",
       "9  150710.66 123176.49 120222.49 136930.87 124869.99 109637.45 109785.14\n",
       "10 123845.51  99354.76  96318.75 110972.51  95503.97  88565.53  90410.85\n",
       "11 125961.36  99511.60  95037.56 106967.41  90373.53  86057.65  81973.67\n",
       "12 103177.68  76610.14  70512.49  76800.03  70755.92  73584.51  76896.36\n",
       "13 113908.07  79588.33  79768.78  84311.32  93294.37  68649.34  58653.74\n",
       "14 121679.45  98642.51  90796.51 100438.33  90102.84  77171.63  79216.79\n",
       "15 125023.73  90151.46  88724.61 103990.17 100895.50  79386.08  80754.34\n",
       "16 110010.66  85278.25  80303.70  95855.05  76568.17  69912.16  64634.42\n",
       "17 141384.72 119712.10 111443.53 124175.01 119949.77 106656.18  97370.05\n",
       "18 117148.77  79813.60  87630.39  95624.51  89522.26  75879.28  81172.81\n",
       "19 100193.30  82723.17  79327.07  86265.68  81687.59  65305.60  63804.77\n",
       "20 159623.86 140017.59 131565.10 148027.53 146425.01 121862.46 116491.01\n",
       "21 146233.07 137791.60 126421.05 144486.86 121814.34 116706.73 112205.86\n",
       "22 116733.54  82845.48  84413.74  79384.49  77247.16  80049.77  67299.37\n",
       "23 116416.81 100640.33 109051.50 110650.34  86737.47 101654.48 100360.73\n",
       "24 114773.65  91263.97  83036.10  97972.54  86642.34  72572.13  68731.57\n",
       "25 111757.89  92620.48  68795.89  89321.19  87572.69  74337.81  79853.96\n",
       "26 113683.02  78641.47  68664.18  80499.09  76232.98  64182.56  54254.77\n",
       "27 108581.91  90374.52  87919.18  92832.34  70899.65  81583.63  78515.60\n",
       "34 122562.60 104474.79  88797.92 101512.73  84761.37  80021.25  77940.86\n",
       "35 110526.00 101880.85 103923.93  91772.13  78297.35 104607.35  87490.75\n",
       "36 144945.73 130697.11 131771.39 131851.14 131345.05 121683.65 118659.36\n",
       "37 130253.29 119685.71 112896.81 122629.85 116642.18 102919.91 104653.92\n",
       "38 117571.75 112801.24 102245.02 113902.08 105495.37  92218.73  94655.31\n",
       "28 122765.19  99492.93  82643.28  98956.69  93138.89  74663.24  75133.80\n",
       "29 104096.19  94102.16  82259.87  95964.41  88338.77  83278.02  83681.25\n",
       "30 139022.39 119220.51 106670.77 119740.40 117137.05 101236.00  99689.56\n",
       "31 115532.77  87250.93  89961.29  94535.57  81481.35  82823.86  81692.15\n",
       "32 119322.48 100756.94  91779.19 100760.76  89789.63  78003.79  77858.99\n",
       "33 120064.59 117482.22 109075.02 117334.83 115285.71  94976.66  98954.63\n",
       "          68        69        67        55        56        59        52\n",
       "39 113371.01 114328.27 104923.78 111413.43 108328.44 131576.81 146292.31\n",
       "40  94525.09  93648.66  95253.66  97525.76  98873.49 129513.07 114630.41\n",
       "42  86831.78  81837.89  85413.63 106238.21 113378.45 132666.33 124510.07\n",
       "47 106406.65 116631.87  97688.81  86992.59  83151.64 110509.42 137416.98\n",
       "48  72720.88  60917.93 101947.61 120793.83 125261.31 147825.25 118992.80\n",
       "49  93627.37  95780.40  95155.97  99316.84 105717.14 138870.96 122808.21\n",
       "41  79041.14  86820.86  90714.19  70971.42  93574.86 131165.93 108944.69\n",
       "43 118776.31 120450.06 113487.21  86383.80  94646.26 111627.81 137810.53\n",
       "44  92909.62  95714.81  94864.52  90214.10  94726.31 117380.34 127975.31\n",
       "45  81663.72  82387.99  95265.85  95888.60 101458.69 129771.77 118160.60\n",
       "46  95819.89  97724.52  90935.43  90463.74  88846.89 105787.26 133966.77\n",
       "70  94246.46 100342.85  89954.66  78168.95  81540.56 120131.42 124106.45\n",
       "71  82746.58  69680.54  75623.82  99285.22 105232.89 136458.80 113964.60\n",
       "72  72458.65  73760.34  73390.12  92337.17  88682.68 119736.87 117021.70\n",
       "68      0.00  62865.27  86039.68 103490.62 114523.44 135423.78 111735.87\n",
       "69  62865.27      0.00  87662.05 113279.33 124211.33 148184.49 112729.37\n",
       "67  86039.68  87662.05      0.00  96969.93 107391.64 125835.12 120314.09\n",
       "55 103490.62 113279.33  96969.93      0.00  70279.23 107125.03 125295.82\n",
       "56 114523.44 124211.33 107391.64  70279.23      0.00  89301.69 144893.43\n",
       "59 135423.78 148184.49 125835.12 107125.03  89301.69      0.00 169079.25\n",
       "52 111735.87 112729.37 120314.09 125295.82 144893.43 169079.25      0.00\n",
       "53 101043.35 103981.86 100445.54 122035.02 132571.53 153087.00 114554.77\n",
       "51 106802.61 116695.57  98112.48  89664.21  96252.00 127226.88 124344.59\n",
       "50  85253.34  88394.09  92134.86 110998.97 120695.62 143050.01 104408.66\n",
       "54 102406.78 107573.08 106920.87  91701.28 118434.51 144505.31 115751.76\n",
       "57 115784.70 116661.96 112327.39  80629.81 109285.17 148768.12 114452.38\n",
       "58 144690.18 153542.42 121464.12 111929.98 111869.58 117569.28 166555.38\n",
       "60 135226.55 143881.07 128041.75 103206.97 116284.47 131232.86 148857.42\n",
       "61 104425.83 113855.47  90082.41  91568.07  97125.39 121894.06 136642.16\n",
       "65  86275.77  87217.15  86177.61  92506.20 113189.57 140741.59  88500.89\n",
       "66 108053.71 116099.44  94716.28  76808.44  85588.43 118364.73 130637.21\n",
       "63  95371.63  94847.29 105067.28 127536.75 139094.15 159737.58  94723.25\n",
       "64 140330.93 144485.48 136623.85 131444.36 138021.09 165294.14 147410.06\n",
       "62 133034.29 138491.92 124098.98 130495.04 134833.14 152139.08 123919.46\n",
       "1   78584.49  74315.16  88119.30 104505.31 103843.89 129808.57 120407.86\n",
       "2   82395.76  78864.82  84470.69 119809.86 129747.04 153854.12 116695.04\n",
       "3   96863.86 101519.26  99644.49 114900.51 123923.32 151229.93 130519.53\n",
       "4   70349.22  80120.65  87129.03  91662.72  96363.28 131284.67 114284.38\n",
       "5   60250.88  64020.82  88413.29  98366.45 115699.67 147037.39  99698.41\n",
       "6  115529.41 117424.33 105954.39 100194.88 124215.87 154507.90 136949.53\n",
       "7  100197.55 111634.04  95945.30  90274.00  88855.86 122127.63 137223.76\n",
       "8   96970.33  97175.68  92813.33 108157.52 101215.06 133807.34 133191.27\n",
       "9   96363.94  95556.32 114914.25 134754.08 152195.81 178827.39 124258.59\n",
       "10  92168.14  90350.07  94569.96  99054.64 123250.18 155528.73 114118.26\n",
       "11  84843.89  85938.22  91977.80 100688.24 117911.86 152763.44 116748.69\n",
       "12  87352.72  89201.30  85630.86  83571.19  98960.17 129975.57 102260.06\n",
       "13  69194.34  62418.50  85334.63 104405.02 106088.31 126872.45 120616.97\n",
       "14  81429.61  80863.73  78905.05 102350.54 112134.27 142502.19 111898.80\n",
       "15  69860.41  63679.62  99186.90 113730.97 124930.91 151509.33 115208.84\n",
       "16  72318.54  72027.81  86575.02  91354.30 102037.89 139592.87 105792.91\n",
       "17  86177.48  93676.98 103666.03 127777.88 132640.05 156451.84 134671.71\n",
       "18  90540.87  89163.69  97977.78  96481.71 113829.17 144072.74 111981.37\n",
       "19  80251.88  78907.61  85323.47  91972.41  98332.28 130721.99 113392.05\n",
       "20 102985.12  91076.28 135286.97 159468.07 163357.29 186586.98 152373.40\n",
       "21 124876.20 122132.84 133439.75 141887.37 142528.23 176878.52 135179.26\n",
       "22  94562.87  98507.41  93827.46 100931.03  95105.56 124831.60 129603.28\n",
       "23 113503.62 116194.03 106822.54  94141.14 111815.43 150270.63 132982.37\n",
       "24  66782.74  69711.11  88657.82  99614.15 109732.06 146116.89 109468.85\n",
       "25  88006.61  80939.00  91179.23 107721.69 115946.70 142196.35 117380.86\n",
       "26  72931.70  70053.09  82424.04  95700.45  96781.03 124904.76 112362.56\n",
       "27  96107.97 100184.76  95160.85  82795.45  88193.59 134897.33 121560.55\n",
       "34  84924.52  90286.12  93345.53 102616.19 112452.21 145891.00 106629.04\n",
       "35 114034.97 124820.36 103465.55  82203.89  68800.51 111820.59 137413.99\n",
       "36 116602.29 120591.50 114463.17 136278.63 146430.36 156134.18 122719.63\n",
       "37 106996.97 106033.82 108825.97 126178.73 139515.33 161512.47 111474.38\n",
       "38 105919.58 100949.55 103737.02 114127.61 129760.95 161294.10 120673.80\n",
       "28  78062.97  75680.02  87475.64 109515.78 118854.08 147646.98 115007.10\n",
       "29  91675.31  94248.51  95459.01  90223.32 107286.03 138725.28 101321.69\n",
       "30  88044.40  93849.70 103849.96 127565.11 139303.21 157790.70 102290.67\n",
       "31  82559.15  89553.65  88200.18  89019.28 107856.23 137376.70 103982.13\n",
       "32  83379.44  83392.74  83420.13 108157.20 115581.61 143520.39 109921.55\n",
       "33 101970.75  95354.13  98790.38 120731.36 130999.42 154930.49 114675.43\n",
       "          53        51        50        54        57       58        60\n",
       "39 125260.80 119563.02 111571.33 121443.98 123630.18 130139.8 147424.87\n",
       "40 107918.30 100986.86  91490.73 105489.59 103912.50 136763.5 133248.16\n",
       "42 104758.99 108365.67  96750.93 110185.63 112490.83 138157.2 138021.47\n",
       "47 123460.82  92753.54 117469.57 106679.41 109090.61 113752.5 121755.07\n",
       "48 110098.63 122200.84  96909.77 115078.24 127041.12 161925.1 148109.37\n",
       "49 105379.23 106407.60  97395.11 104694.66 109797.54 137183.4 136291.79\n",
       "41 110035.81  96717.00  95800.35  89456.53  84165.95 141270.5 122187.43\n",
       "43 133547.88 113059.11 128645.18 115485.59 112265.52 128731.6 111913.55\n",
       "44 119231.60 106451.98  98890.55 104769.53 107564.13 125774.6 127028.79\n",
       "45 113690.05 100396.42  91703.25 109149.76 104052.86 140812.6 132320.03\n",
       "46 117790.32  96671.98  99782.06 117770.46 112181.42 120541.7 130189.71\n",
       "70 112433.36  84124.83  98577.74 105287.41  98670.59 123257.6 117340.60\n",
       "71 102646.98 101838.13  79902.55 105384.99 101905.71 140461.3 132097.83\n",
       "72  96163.79  91689.29  83003.95 104035.55 107514.69 128070.2 129088.18\n",
       "68 101043.35 106802.61  85253.34 102406.78 115784.70 144690.2 135226.55\n",
       "69 103981.86 116695.57  88394.09 107573.08 116661.96 153542.4 143881.07\n",
       "67 100445.54  98112.48  92134.86 106920.87 112327.39 121464.1 128041.75\n",
       "55 122035.02  89664.21 110998.97  91701.28  80629.81 111930.0 103206.97\n",
       "56 132571.53  96252.00 120695.62 118434.51 109285.17 111869.6 116284.47\n",
       "59 153087.00 127226.88 143050.01 144505.31 148768.12 117569.3 131232.86\n",
       "52 114554.77 124344.59 104408.66 115751.76 114452.38 166555.4 148857.42\n",
       "53      0.00  96225.05  83581.91 106436.72 118272.20 146705.0 136667.52\n",
       "51  96225.05      0.00  84824.29 108319.66  94485.92 122766.2 117419.51\n",
       "50  83581.91  84824.29      0.00 104543.03 109681.25 138388.2 134658.09\n",
       "54 106436.72 108319.66 104543.03      0.00  78705.77 133635.5  92239.44\n",
       "57 118272.20  94485.92 109681.25  78705.77      0.00 146060.3 100499.88\n",
       "58 146704.99 122766.23 138388.21 133635.52 146060.32      0.0 133652.65\n",
       "60 136667.52 117419.51 134658.09  92239.44 100499.88 133652.7      0.00\n",
       "61 107047.38  85397.43  93862.52 101714.48 110763.63 100579.2 119774.48\n",
       "65  93799.02  90641.26  71681.26  87786.89  84326.20 137025.0 123033.50\n",
       "66 123547.89  87797.62 113278.95 116009.23 105316.91 122740.3 123137.98\n",
       "63 101413.50 121960.42  80358.11 103129.02 121408.22 148383.5 144569.60\n",
       "64 135784.12 131124.22 132985.05 136848.79 133440.29 164375.8 164613.73\n",
       "62 130605.95 129586.78 126771.33 120707.96 132497.41 133516.4 145681.31\n",
       "1  101572.69 104503.80  84373.27 107082.76 114376.12 140007.9 134765.45\n",
       "2   94399.86 109485.22  86659.75 112301.36 123918.86 153954.8 143357.47\n",
       "3  109798.38 110075.22 106665.57 120338.11 127110.86 151079.4 143882.62\n",
       "4   96817.26  91639.37  80079.96 102573.35 105531.99 139625.7 127549.07\n",
       "5   98261.35 107776.84  85775.73  92614.77  97365.04 153920.7 133283.89\n",
       "6  123236.38 112907.18 115408.14 109955.21 108897.84 144086.9 136459.82\n",
       "7  112563.63  89580.68 105213.29 119156.48 115523.29 124824.7 131578.69\n",
       "8  105922.37 103683.50  96327.94 115176.15 119236.23 134667.2 138557.02\n",
       "9  116837.78 133512.68 111524.95 121601.65 132133.95 183876.0 162306.45\n",
       "10 105913.68 106645.28  99547.24 101886.91  99780.79 155944.3 135089.69\n",
       "11 102755.37  99192.06  95562.58 106938.79 104773.43 156391.7 135582.55\n",
       "12 100506.24  85849.97  82052.44  95118.01  85132.29 135672.4 122410.96\n",
       "13 105899.88 111464.04  88306.35 103102.05 114922.71 140638.6 136701.88\n",
       "14  99860.66 101959.47  88908.07 105861.63 109361.55 145944.5 130441.86\n",
       "15 109319.30 121360.19  89677.28 103542.74 115247.19 164090.2 143651.14\n",
       "16 102317.66 101176.21  89355.50  94239.93  96379.91 146904.8 125606.95\n",
       "17 112107.66 122110.96 102053.05 116420.92 134123.77 160080.6 149713.79\n",
       "18 111830.74 111883.05  90347.55  91753.84  91601.78 144279.1 128203.56\n",
       "19 102758.56 101350.75  89384.53 100220.21  99347.39 141687.7 126985.88\n",
       "20 137667.61 160049.45 129112.35 145881.15 163298.25 194943.8 182333.09\n",
       "21 140229.45 139175.60 138802.46 141616.41 140223.14 186546.5 163875.09\n",
       "22 107412.15  95791.54  94297.06 122137.78 115849.64 137865.0 138129.74\n",
       "23 121561.80 104087.41 116147.10 113217.39 100691.13 153096.0 136385.09\n",
       "24  97714.02 103654.72  86118.33  98376.34 102279.64 153259.6 133658.47\n",
       "25 100954.21 101911.43  87896.67 112483.96 110827.24 148973.0 140053.33\n",
       "26 103390.49 105108.70  88112.18 104497.27 109753.57 136817.1 131627.32\n",
       "27 109540.67  92626.90  98257.65 103842.62  92716.11 136036.9 125347.72\n",
       "34  82573.95  75392.51  69163.14  96379.35  93822.92 144991.8 124914.24\n",
       "35 119931.67  79249.29 111109.11 119726.62 110889.01 108790.0 123754.20\n",
       "36 102833.58 116907.73  92347.28 122526.57 137595.57 141391.5 151227.88\n",
       "37  84030.45 100996.69  78498.30 110404.76 118254.61 155024.7 144742.55\n",
       "38 101116.09  98948.65  90208.98 117380.51 109267.92 160183.7 144116.17\n",
       "28  87274.22  90167.95  63298.63 108548.03 112096.12 147040.9 139599.84\n",
       "29  95270.35  77172.80  83625.72  94719.36  78006.44 144644.7 117028.57\n",
       "30  83002.47 107972.90  70314.78 111749.68 125060.53 150611.7 144057.70\n",
       "31  91028.10  82243.32  65831.91  86262.36  93531.26 126887.1 119207.71\n",
       "32  89059.17  91287.37  63570.73 106376.70 113456.95 136219.9 135742.82\n",
       "33  90762.74  98840.19  77662.25 115328.91 118941.32 145257.8 140293.54\n",
       "          61        65        66        63       64       62         1\n",
       "39 101303.33 102585.50 121433.89 125165.69 136150.4 134686.5  96244.24\n",
       "40  99757.28  83294.33 103875.60 101463.70 114366.4 119255.9  74056.42\n",
       "42 102612.77  89829.04 110451.52 107254.25 135081.6 130213.8  84472.41\n",
       "47  99438.45 108657.02  77218.05 132092.65 137038.9 120742.5 101684.38\n",
       "48 119574.99  96223.02 117468.47 102745.73 142661.5 143562.1  71945.79\n",
       "49  96988.60  86370.07 113785.77 100148.58 116323.9 123848.1  71911.04\n",
       "41  99894.58  74878.08  86325.76 108930.40 121655.8 123916.1  83305.60\n",
       "43 119739.59 112490.58 105998.19 135472.06 144932.1 134055.9 115469.97\n",
       "44 101478.54  92767.68  95362.03 118662.65 147728.5 134553.9  76215.26\n",
       "45 102277.12  81078.77  93403.23 111809.96 149390.4 141767.1  83002.23\n",
       "46  96606.35  97545.30  89319.23 123343.53 145699.0 137771.6  84311.41\n",
       "70  93119.46  88112.14  75871.78 119101.06 135915.7 127702.2  83298.16\n",
       "71  99831.52  73500.19  97756.14  97673.15 132152.2 127981.9  70427.45\n",
       "72  87132.88  78743.95  87601.44 101363.71 128341.0 121056.3  60936.54\n",
       "68 104425.83  86275.77 108053.71  95371.63 140330.9 133034.3  78584.49\n",
       "69 113855.47  87217.15 116099.44  94847.29 144485.5 138491.9  74315.16\n",
       "67  90082.41  86177.61  94716.28 105067.28 136623.9 124099.0  88119.30\n",
       "55  91568.07  92506.20  76808.44 127536.75 131444.4 130495.0 104505.31\n",
       "56  97125.39 113189.57  85588.43 139094.15 138021.1 134833.1 103843.89\n",
       "59 121894.06 140741.59 118364.73 159737.58 165294.1 152139.1 129808.57\n",
       "52 136642.16  88500.89 130637.21  94723.25 147410.1 123919.5 120407.86\n",
       "53 107047.38  93799.02 123547.89 101413.50 135784.1 130606.0 101572.69\n",
       "51  85397.43  90641.26  87797.62 121960.42 131124.2 129586.8 104503.80\n",
       "50  93862.52  71681.26 113278.95  80358.11 132985.0 126771.3  84373.27\n",
       "54 101714.48  87786.89 116009.23 103129.02 136848.8 120708.0 107082.76\n",
       "57 110763.63  84326.20 105316.91 121408.22 133440.3 132497.4 114376.12\n",
       "58 100579.21 137025.01 122740.27 148383.46 164375.8 133516.4 140007.94\n",
       "60 119774.48 123033.50 123137.98 144569.60 164613.7 145681.3 134765.45\n",
       "61      0.00  90946.76 103220.86 116156.07 125752.3 127243.7 102178.17\n",
       "65  90946.76      0.00 100740.09  80449.31 124437.8 116726.7  87688.66\n",
       "66 103220.86 100740.09      0.00 137688.98 150437.1 144361.5 107704.51\n",
       "63 116156.07  80449.31 137688.98      0.00 131522.5 104789.1  94998.28\n",
       "64 125752.30 124437.83 150437.05 131522.52      0.0 120659.7 130577.56\n",
       "62 127243.70 116726.65 144361.51 104789.10 120659.7      0.0 127063.54\n",
       "1  102178.17  87688.66 107704.51  94998.28 130577.6 127063.5      0.00\n",
       "2  110420.63  91481.14 116995.71  97951.65 139384.6 135313.9  84238.56\n",
       "3  114944.95 109303.32 113627.22 122197.06 144904.4 149102.2  88486.18\n",
       "4   97957.56  83751.47  95020.96 100844.19 124822.4 128911.9  59252.05\n",
       "5  109333.97  74311.68 105441.94  92508.31 133976.7 131002.3  73384.90\n",
       "6  113824.31 105620.65 118691.51 128998.71 139164.1 141620.7 105234.09\n",
       "7   96986.55 104624.03  93497.45 123523.99 126653.2 135234.7  82026.63\n",
       "8  100625.86  95468.65 112255.46 107635.21 121833.8 127978.2  68954.20\n",
       "9  137659.62 110500.90 136078.12 116257.65 155911.6 159277.6 100311.79\n",
       "10 108274.58  85089.95 107408.85 116056.44 139672.7 144164.6  95302.76\n",
       "11 108813.32  90085.08  99845.42 116487.31 141844.6 146877.3  86810.93\n",
       "12  95513.95  66444.81  88701.40 102569.51 132644.4 126582.6  79027.88\n",
       "13  99979.90  87365.27 108485.19  96816.43 132232.3 127843.0  62666.39\n",
       "14 108004.72  90514.28  97139.80 101669.57 135587.8 133719.4  76496.05\n",
       "15 120132.76  88402.10 121101.69  95404.14 136275.2 135558.6  68893.97\n",
       "16 101897.05  75632.52  97273.28  99539.30 123469.7 127356.9  66956.81\n",
       "17 117067.64 110827.61 129085.14 106423.96 142599.4 144906.9  91402.42\n",
       "18 109780.63  78737.61 109459.26 100792.94 137509.7 122149.1  80322.66\n",
       "19 100640.02  78966.44  95055.57 101372.19 120784.0 124185.5  69212.04\n",
       "20 153258.48 133812.66 156764.83 128032.69 168179.6 170792.3 112710.20\n",
       "21 146134.83 120045.86 127166.44 143889.21 157815.3 158976.2 122595.64\n",
       "22 104266.01  91947.94  93706.09 119952.36 142715.4 139276.1  73148.86\n",
       "23 114966.14 100338.86 105934.81 131395.96 131493.5 141462.4  97910.77\n",
       "24 105302.13  80091.07 105626.82  95870.23 120328.3 129465.4  66978.24\n",
       "25 106798.96  79057.39 105590.14 102875.62 140829.6 139030.1  81033.41\n",
       "26  99519.38  77064.56  93525.14 100117.86 135636.3 130766.1  61438.15\n",
       "27  95209.19  86591.78  92086.80 114365.12 120524.9 130385.0  78579.99\n",
       "34  93879.24  75750.26 102798.10  94695.49 116802.5 122570.3  81827.38\n",
       "35  87634.90 107010.65  72863.20 134509.37 127596.7 130695.7 103151.11\n",
       "36 122285.72 109499.23 143964.51  92257.38 153956.8 121440.4 119709.98\n",
       "37 118976.68  92998.24 128059.87  96243.38 144216.9 126612.1 104499.60\n",
       "38 113977.46  88360.15 108398.67 117158.37 142673.1 150749.6 100266.16\n",
       "28  99096.37  73962.76 106754.38  89561.19 136326.8 137631.2  77909.44\n",
       "29 107588.44  72852.80  84231.28 111119.56 139682.5 135195.3  94746.69\n",
       "30 111973.78  91265.47 128536.62  83053.75 145700.6 131454.0 101833.44\n",
       "31  86358.42  71065.67  97850.68  89695.22 123794.9 120215.2  79537.14\n",
       "32  94630.52  78902.05 109574.74  83848.17 126836.9 122880.5  76635.59\n",
       "33 108523.21  88887.52 126139.67  89925.25 140203.6 132188.4  96466.56\n",
       "           2         3         4         5         6         7         8\n",
       "39 118572.88 125121.10 104271.15 108967.47 114170.44 108355.68  94539.43\n",
       "40  98464.77 109343.31  74924.63  84841.67 112068.60  92657.01  74676.17\n",
       "42  91919.90 110117.24  89357.45  85457.43 114210.45 106316.67  86509.12\n",
       "47 115858.93 119516.78  95092.89 108922.79 127132.98  95667.08 107828.79\n",
       "48  84548.94  99655.96  75995.25  70145.98 124423.12 109795.78  94627.54\n",
       "49  95059.47  96877.56  72112.10  87025.88  98064.91  85273.68  71993.07\n",
       "41  97956.94 103517.97  64981.05  64495.93  93563.84  88658.31  90935.71\n",
       "43 128590.13 132917.49 111316.24 118053.81 122682.57 114043.18 107959.38\n",
       "44 107252.07 106598.67  83574.75  88123.93 101987.48  97443.95  94726.78\n",
       "45  97825.69 112832.61  76397.69  79733.51 118752.35 100924.35  97161.48\n",
       "46 110285.37 115692.96  87213.54  98268.57 117448.50  90261.21  95765.60\n",
       "70 102642.75 102304.19  74542.06  91853.66 100007.91  73998.51  92287.58\n",
       "71  82742.10 103878.75  75920.28  74207.06 108554.35  99053.32  83398.19\n",
       "72  83679.76  94722.79  66828.46  72961.76 109664.36  84990.08  76727.63\n",
       "68  82395.76  96863.86  70349.22  60250.88 115529.41 100197.55  96970.33\n",
       "69  78864.82 101519.26  80120.65  64020.82 117424.33 111634.04  97175.68\n",
       "67  84470.69  99644.49  87129.03  88413.29 105954.39  95945.30  92813.33\n",
       "55 119809.86 114900.51  91662.72  98366.45 100194.88  90274.00 108157.52\n",
       "56 129747.04 123923.32  96363.28 115699.67 124215.87  88855.86 101215.06\n",
       "59 153854.12 151229.93 131284.67 147037.39 154507.90 122127.63 133807.34\n",
       "52 116695.04 130519.53 114284.38  99698.41 136949.53 137223.76 133191.27\n",
       "53  94399.86 109798.38  96817.26  98261.35 123236.38 112563.63 105922.37\n",
       "51 109485.22 110075.22  91639.37 107776.84 112907.18  89580.68 103683.50\n",
       "50  86659.75 106665.57  80079.96  85775.73 115408.14 105213.29  96327.94\n",
       "54 112301.36 120338.11 102573.35  92614.77 109955.21 119156.48 115176.15\n",
       "57 123918.86 127110.86 105531.99  97365.04 108897.84 115523.29 119236.23\n",
       "58 153954.82 151079.42 139625.67 153920.70 144086.91 124824.68 134667.21\n",
       "60 143357.47 143882.62 127549.07 133283.89 136459.82 131578.69 138557.02\n",
       "61 110420.63 114944.95  97957.56 109333.97 113824.31  96986.55 100625.86\n",
       "65  91481.14 109303.32  83751.47  74311.68 105620.65 104624.03  95468.65\n",
       "66 116995.71 113627.22  95020.96 105441.94 118691.51  93497.45 112255.46\n",
       "63  97951.65 122197.06 100844.19  92508.31 128998.71 123523.99 107635.21\n",
       "64 139384.63 144904.40 124822.42 133976.74 139164.11 126653.23 121833.85\n",
       "62 135313.86 149102.25 128911.86 131002.28 141620.74 135234.68 127978.16\n",
       "1   84238.56  88486.18  59252.05  73384.90 105234.09  82026.63  68954.20\n",
       "2       0.00  84387.97  80073.60  78625.07 104415.79 107123.18  93651.99\n",
       "3   84387.97      0.00  82472.39  94609.80  83728.06  96835.28 100004.53\n",
       "4   80073.60  82472.39      0.00  60754.52  99057.47  72045.54  69916.17\n",
       "5   78625.07  94609.80  60754.52      0.00 105142.41  99663.28  91200.00\n",
       "6  104415.79  83728.06  99057.47 105142.41      0.00 102523.22 106675.84\n",
       "7  107123.18  96835.28  72045.54  99663.28 102523.22      0.00  85071.04\n",
       "8   93651.99 100004.53  69916.17  91200.00 106675.84  85071.04      0.00\n",
       "9   86034.09  76816.02  98142.45  87627.16 105086.97 124665.50 119790.59\n",
       "10  84841.69  74877.62  87156.38  78552.04  74482.49 108597.68 106310.29\n",
       "11  78616.61  69410.64  76569.90  75774.65  81693.90  99043.02  99029.35\n",
       "12  89985.25 101709.71  74068.82  74758.73  92583.57  86752.62  87949.52\n",
       "13  86888.03 100104.08  72154.09  68220.30 114817.40  98400.29  82862.79\n",
       "14  65070.54  81119.21  66849.80  72704.28  98367.90  93964.10  88319.67\n",
       "15  81857.44 101038.54  66463.90  55339.80 109012.19 105759.96  90380.93\n",
       "16  81258.69  85296.14  55818.99  57247.07  95864.54  89062.99  81509.18\n",
       "17  83545.25  98477.13  88944.98  94102.20 126168.38 113472.29 102990.42\n",
       "18 100281.67 111503.23  83047.15  73486.23 103457.94 109320.52  97503.29\n",
       "19  88125.54 104870.26  65311.36  69361.35 109166.11  90283.20  75466.41\n",
       "20 111976.42 132248.32 116163.17 104814.38 157033.79 147980.35 128465.36\n",
       "21 126315.37 135294.01 116686.73 113665.33 152047.92 134180.14 130773.05\n",
       "22  97959.48 105354.24  73630.29  88760.73 116968.61  81319.75  80450.14\n",
       "23 103668.20  90754.31  89432.88  98776.06  57823.78  89766.82 100045.87\n",
       "24  76928.76  89199.55  50965.01  49040.06 101218.55  86402.63  79038.25\n",
       "25  80583.19 109248.62  77822.45  79663.61 115967.17 100212.04  85250.31\n",
       "26  84776.46 101280.83  67354.02  70588.69 116070.45  93118.04  84055.51\n",
       "27  99435.59  97380.12  65690.35  84542.95  97203.86  76110.93  75333.88\n",
       "34  82769.72  96175.07  69007.29  77798.30 111395.56  94366.40  92692.54\n",
       "35 121538.52 113258.41  90716.03 114998.91 119945.15  77109.97 101873.41\n",
       "36 115752.02 130488.54 122563.88 121188.18 136590.14 133642.60 127777.31\n",
       "37  99253.33 121700.51 101019.98 100054.18 127557.31 124193.25 109361.72\n",
       "38  93638.65 110037.05  91284.79  91996.27 116557.50 112420.39 100191.82\n",
       "28  74552.82  99235.78  74530.82  74839.87 115021.99 100480.25  87881.37\n",
       "29  98521.84 111021.01  83123.32  79995.79 113934.21 105051.24  98824.53\n",
       "30  93605.26 114629.28  95270.14  90409.30 130860.84 121497.03 114752.84\n",
       "31  87139.42  92532.81  70046.57  75443.54  94508.42  87972.97  90513.63\n",
       "32  75879.26  94613.08  71920.86  82968.78 106819.73  93481.97  82724.80\n",
       "33  94001.11 113824.58  94915.14  96019.62 125375.87 116219.97  97118.84\n",
       "           9        10        11        12        13        14        15\n",
       "39 139013.58 114732.52 121155.12  96022.30  95335.68 122539.06 112437.51\n",
       "40 123645.04 102559.63  98899.73  72476.29  76779.53  86400.32  91468.72\n",
       "42 118097.48  98142.28  97775.99  83746.68  72302.15  96436.04  93265.26\n",
       "47 143624.61 118659.66 113198.68  97316.59  98117.36 104820.95 119314.07\n",
       "48  98682.76  97300.35  91682.74  95422.63  54920.16  85607.40  62914.02\n",
       "49 112345.76  96826.12  95858.37  82230.95  85930.63  89686.83  88941.48\n",
       "41 108407.50  82671.56  82409.31  67067.01  79471.36  84886.13  74370.16\n",
       "43 150710.66 123845.51 125961.36 103177.68 113908.07 121679.45 125023.73\n",
       "44 123176.49  99354.76  99511.60  76610.14  79588.33  98642.51  90151.46\n",
       "45 120222.49  96318.75  95037.56  70512.49  79768.78  90796.51  88724.61\n",
       "46 136930.87 110972.51 106967.41  76800.03  84311.32 100438.33 103990.17\n",
       "70 124869.99  95503.97  90373.53  70755.92  93294.37  90102.84 100895.50\n",
       "71 109637.45  88565.53  86057.65  73584.51  68649.34  77171.63  79386.08\n",
       "72 109785.14  90410.85  81973.67  76896.36  58653.74  79216.79  80754.34\n",
       "68  96363.94  92168.14  84843.89  87352.72  69194.34  81429.61  69860.41\n",
       "69  95556.32  90350.07  85938.22  89201.30  62418.50  80863.73  63679.62\n",
       "67 114914.25  94569.96  91977.80  85630.86  85334.63  78905.05  99186.90\n",
       "55 134754.08  99054.64 100688.24  83571.19 104405.02 102350.54 113730.97\n",
       "56 152195.81 123250.18 117911.86  98960.17 106088.31 112134.27 124930.91\n",
       "59 178827.39 155528.73 152763.44 129975.57 126872.45 142502.19 151509.33\n",
       "52 124258.59 114118.26 116748.69 102260.06 120616.97 111898.80 115208.84\n",
       "53 116837.78 105913.68 102755.37 100506.24 105899.88  99860.66 109319.30\n",
       "51 133512.68 106645.28  99192.06  85849.97 111464.04 101959.47 121360.19\n",
       "50 111524.95  99547.24  95562.58  82052.44  88306.35  88908.07  89677.28\n",
       "54 121601.65 101886.91 106938.79  95118.01 103102.05 105861.63 103542.74\n",
       "57 132133.95  99780.79 104773.43  85132.29 114922.71 109361.55 115247.19\n",
       "58 183875.99 155944.34 156391.75 135672.43 140638.57 145944.51 164090.17\n",
       "60 162306.45 135089.69 135582.55 122410.96 136701.88 130441.86 143651.14\n",
       "61 137659.62 108274.58 108813.32  95513.95  99979.90 108004.72 120132.76\n",
       "65 110500.90  85089.95  90085.08  66444.81  87365.27  90514.28  88402.10\n",
       "66 136078.12 107408.85  99845.42  88701.40 108485.19  97139.80 121101.69\n",
       "63 116257.65 116056.44 116487.31 102569.51  96816.43 101669.57  95404.14\n",
       "64 155911.59 139672.70 141844.61 132644.40 132232.35 135587.80 136275.18\n",
       "62 159277.57 144164.59 146877.25 126582.64 127843.03 133719.44 135558.65\n",
       "1  100311.79  95302.76  86810.93  79027.88  62666.39  76496.05  68893.97\n",
       "2   86034.09  84841.69  78616.61  89985.25  86888.03  65070.54  81857.44\n",
       "3   76816.02  74877.62  69410.64 101709.71 100104.08  81119.21 101038.54\n",
       "4   98142.45  87156.38  76569.90  74068.82  72154.09  66849.80  66463.90\n",
       "5   87627.16  78552.04  75774.65  74758.73  68220.30  72704.28  55339.80\n",
       "6  105086.97  74482.49  81693.90  92583.57 114817.40  98367.90 109012.19\n",
       "7  124665.50 108597.68  99043.02  86752.62  98400.29  93964.10 105759.96\n",
       "8  119790.59 106310.29  99029.35  87949.52  82862.79  88319.67  90380.93\n",
       "9       0.00  79702.87  74807.95 111761.23 107455.57  89625.65  90121.12\n",
       "10  79702.87      0.00  57920.54  84643.46  93495.58  82261.67  93036.46\n",
       "11  74807.95  57920.54      0.00  84830.82  90427.26  70844.69  88955.67\n",
       "12 111761.23  84643.46  84830.82      0.00  84410.56  82480.39  87321.73\n",
       "13 107455.57  93495.58  90427.26  84410.56      0.00  85985.03  66190.48\n",
       "14  89625.65  82261.67  70844.69  82480.39  85985.03      0.00  80232.99\n",
       "15  90121.12  93036.46  88955.67  87321.73  66190.48  80232.99      0.00\n",
       "16  94807.73  75790.28  70974.14  75508.81  67639.27  69217.69  65578.66\n",
       "17 100405.01 109036.10  98556.12 113101.37  93080.68  85893.56  91723.23\n",
       "18 113330.82  91202.95  94884.62  75748.00  82501.51  92072.29  81920.17\n",
       "19 114144.39  91206.85  86929.56  71939.31  63853.07  78360.55  74509.51\n",
       "20 115791.68 132605.86 124288.81 141641.28 103393.68 120513.84  91318.28\n",
       "21 139105.22 126404.01 117402.10 122494.02 117737.24 119306.93 123959.50\n",
       "22 123283.11 104886.52  96342.50  76723.72  86055.11  93894.74  96790.62\n",
       "23 106101.94  79261.54  77727.49  83502.16 110925.93  93963.51 104170.12\n",
       "24  91871.78  83435.89  73698.60  76955.50  66549.03  68785.84  57037.93\n",
       "25 113960.65  94037.39  94513.97  65727.60  82116.50  86522.53  85579.02\n",
       "26 111265.40  94753.91  89270.92  75812.51  61721.31  78005.04  74513.00\n",
       "27 118180.18  91753.05  85725.52  72244.09  89220.19  84365.45  95625.75\n",
       "34 105169.62  89148.44  81449.91  82056.61  90187.20  77787.36  90819.02\n",
       "35 146699.29 119183.93 108658.08  93769.59 109297.78 102658.20 127660.46\n",
       "36 136910.17 129445.68 131004.00 120983.80 120437.39 125305.51 126591.58\n",
       "37 119976.12 110752.58 109379.76  99564.76 110355.86 106099.91 105914.15\n",
       "38 113378.21  95866.21  91299.47  91220.06 106036.11  96654.03 104033.87\n",
       "28  99862.65  89345.55  83791.14  80721.82  80702.61  79983.96  81236.66\n",
       "29 114983.06  92008.32  86854.20  72340.67  94790.98  88583.80  93884.14\n",
       "30 112489.18 106150.65 105866.32 104126.75  99387.80 101097.78  99821.02\n",
       "31 103231.30  84555.54  82347.47  70954.49  86223.07  81528.47  87236.94\n",
       "32 102728.34  93449.84  87292.01  83955.97  86036.64  78067.59  84792.76\n",
       "33 117727.73 107902.52 105676.95  95691.06 101502.04  99656.26 106186.27\n",
       "          16        17        18        19        20       21        22\n",
       "39 104436.35 133954.97 101119.28 100086.20 151359.74 148726.0  97039.18\n",
       "40  78686.05 110465.27  82748.27  64888.86 136915.49 118197.3  85374.03\n",
       "42  89565.09 109687.21  92728.43  79378.57 126484.84 129459.6  88230.05\n",
       "47  97353.79 122182.12 105687.62  88448.29 153195.38 131772.9  97569.33\n",
       "48  72216.56  89196.50  98133.87  76186.58  86549.34 112888.7 100402.49\n",
       "49  74486.52 105574.18  89509.99  80035.85 132540.44 123780.8  88285.00\n",
       "41  62357.92 110887.68  76131.14  66720.95 127927.58 116439.8  86621.91\n",
       "43 110010.66 141384.72 117148.77 100193.30 159623.86 146233.1 116733.54\n",
       "44  85278.25 119712.10  79813.60  82723.17 140017.59 137791.6  82845.48\n",
       "45  80303.70 111443.53  87630.39  79327.07 131565.10 126421.0  84413.74\n",
       "46  95855.05 124175.01  95624.51  86265.68 148027.53 144486.9  79384.49\n",
       "70  76568.17 119949.77  89522.26  81687.59 146425.01 121814.3  77247.16\n",
       "71  69912.16 106656.18  75879.28  65305.60 121862.46 116706.7  80049.77\n",
       "72  64634.42  97370.05  81172.81  63804.77 116491.01 112205.9  67299.37\n",
       "68  72318.54  86177.48  90540.87  80251.88 102985.12 124876.2  94562.87\n",
       "69  72027.81  93676.98  89163.69  78907.61  91076.28 122132.8  98507.41\n",
       "67  86575.02 103666.03  97977.78  85323.47 135286.97 133439.7  93827.46\n",
       "55  91354.30 127777.88  96481.71  91972.41 159468.07 141887.4 100931.03\n",
       "56 102037.89 132640.05 113829.17  98332.28 163357.29 142528.2  95105.56\n",
       "59 139592.87 156451.84 144072.74 130721.99 186586.98 176878.5 124831.60\n",
       "52 105792.91 134671.71 111981.37 113392.05 152373.40 135179.3 129603.28\n",
       "53 102317.66 112107.66 111830.74 102758.56 137667.61 140229.5 107412.15\n",
       "51 101176.21 122110.96 111883.05 101350.75 160049.45 139175.6  95791.54\n",
       "50  89355.50 102053.05  90347.55  89384.53 129112.35 138802.5  94297.06\n",
       "54  94239.93 116420.92  91753.84 100220.21 145881.15 141616.4 122137.78\n",
       "57  96379.91 134123.77  91601.78  99347.39 163298.25 140223.1 115849.64\n",
       "58 146904.77 160080.55 144279.06 141687.71 194943.80 186546.5 137865.04\n",
       "60 125606.95 149713.79 128203.56 126985.88 182333.09 163875.1 138129.74\n",
       "61 101897.05 117067.64 109780.63 100640.02 153258.48 146134.8 104266.01\n",
       "65  75632.52 110827.61  78737.61  78966.44 133812.66 120045.9  91947.94\n",
       "66  97273.28 129085.14 109459.26  95055.57 156764.83 127166.4  93706.09\n",
       "63  99539.30 106423.96 100792.94 101372.19 128032.69 143889.2 119952.36\n",
       "64 123469.75 142599.42 137509.66 120784.00 168179.56 157815.3 142715.37\n",
       "62 127356.91 144906.86 122149.06 124185.49 170792.28 158976.2 139276.08\n",
       "1   66956.81  91402.42  80322.66  69212.04 112710.20 122595.6  73148.86\n",
       "2   81258.69  83545.25 100281.67  88125.54 111976.42 126315.4  97959.48\n",
       "3   85296.14  98477.13 111503.23 104870.26 132248.32 135294.0 105354.24\n",
       "4   55818.99  88944.98  83047.15  65311.36 116163.17 116686.7  73630.29\n",
       "5   57247.07  94102.20  73486.23  69361.35 104814.38 113665.3  88760.73\n",
       "6   95864.54 126168.38 103457.94 109166.11 157033.79 152047.9 116968.61\n",
       "7   89062.99 113472.29 109320.52  90283.20 147980.35 134180.1  81319.75\n",
       "8   81509.18 102990.42  97503.29  75466.41 128465.36 130773.0  80450.14\n",
       "9   94807.73 100405.01 113330.82 114144.39 115791.68 139105.2 123283.11\n",
       "10  75790.28 109036.10  91202.95  91206.85 132605.86 126404.0 104886.52\n",
       "11  70974.14  98556.12  94884.62  86929.56 124288.81 117402.1  96342.50\n",
       "12  75508.81 113101.37  75748.00  71939.31 141641.28 122494.0  76723.72\n",
       "13  67639.27  93080.68  82501.51  63853.07 103393.68 117737.2  86055.11\n",
       "14  69217.69  85893.56  92072.29  78360.55 120513.84 119306.9  93894.74\n",
       "15  65578.66  91723.23  81920.17  74509.51  91318.28 123959.5  96790.62\n",
       "16      0.00  91624.69  75956.14  55725.39 109113.91 106111.1  86817.54\n",
       "17  91624.69      0.00 116057.04 102911.58 109720.32 138608.4 119272.13\n",
       "18  75956.14 116057.04      0.00  74385.87 134933.80 130089.8  93836.34\n",
       "19  55725.39 102911.58  74385.87      0.00 117537.18 110476.8  79903.79\n",
       "20 109113.91 109720.32 134933.80 117537.18      0.00 142645.8 139179.91\n",
       "21 106111.11 138608.41 130089.76 110476.83 142645.81      0.0 124269.39\n",
       "22  86817.54 119272.13  93836.34  79903.79 139179.91 124269.4      0.00\n",
       "23  87781.25 125664.34 100269.23  97088.46 153659.71 132788.5  99191.94\n",
       "24  50625.65  86856.62  80792.42  63931.56 104328.43 106433.9  88242.09\n",
       "25  81760.11 106448.48  90987.46  71776.80 124736.10 121546.9  80932.75\n",
       "26  62597.72  98058.67  82196.21  64142.31 115025.29 112138.4  74934.38\n",
       "27  68793.74 110250.37  85124.92  72040.30 140780.62 112815.7  79664.55\n",
       "34  74071.76  94216.94  89272.10  81973.05 127649.39 116966.3  93575.62\n",
       "35 100019.99 126160.48 115164.66  97163.72 164602.74 131572.4  92753.00\n",
       "36 129990.45 127940.83 124361.38 131099.78 156631.73 170422.8 131082.48\n",
       "37 107276.63 119079.10 103462.48 103331.22 137476.00 146724.8 113553.81\n",
       "38  94293.05 114987.66 103085.24  91342.05 132309.09 130413.3  97738.72\n",
       "28  80907.82  91755.08  89821.71  79793.84 114711.36 122947.6  87607.12\n",
       "29  82033.15 114039.08  87948.40  79775.79 139102.85 119490.8  89204.65\n",
       "30 102852.53 107114.11 108145.66 106041.24 128396.68 143446.1 114030.68\n",
       "31  77027.57 101300.28  85409.11  82937.34 133710.65 133460.3  89525.77\n",
       "32  78746.60  90414.94  95232.49  84740.38 123043.55 131148.8  94743.84\n",
       "33 102714.01 110954.54 105375.90  98734.37 133408.83 140269.9 107061.31\n",
       "          23        24        25        26        27        34        35\n",
       "39 112395.28 104472.19 100455.75  96423.80 100889.02 116180.33 117779.65\n",
       "40 102193.26  75163.95  84006.02  76825.37  75352.36  87656.89  91413.87\n",
       "42 110792.52  87618.11  80387.53  82523.97  94413.50  96869.94 113191.22\n",
       "47 115054.57 105327.80 106164.41  94425.34  96053.85  98685.65  76272.83\n",
       "48 118659.45  67916.81  84161.41  74122.93  98867.66  93928.62 124334.48\n",
       "49  92951.24  78223.07  86496.65  77243.87  62402.68  90219.12 104864.13\n",
       "41  82646.37  61829.01  87279.41  74618.78  73547.61  84797.78  97652.23\n",
       "43 116416.81 114773.65 111757.89 113683.02 108581.91 122562.60 110526.00\n",
       "44 100640.33  91263.97  92620.48  78641.47  90374.52 104474.79 101880.85\n",
       "45 109051.50  83036.10  68795.89  68664.18  87919.18  88797.92 103923.93\n",
       "46 110650.34  97972.54  89321.19  80499.09  92832.34 101512.73  91772.13\n",
       "70  86737.47  86642.34  87572.69  76232.98  70899.65  84761.37  78297.35\n",
       "71 101654.48  72572.13  74337.81  64182.56  81583.63  80021.25 104607.35\n",
       "72 100360.73  68731.57  79853.96  54254.77  78515.60  77940.86  87490.75\n",
       "68 113503.62  66782.74  88006.61  72931.70  96107.97  84924.52 114034.97\n",
       "69 116194.03  69711.11  80939.00  70053.09 100184.76  90286.12 124820.36\n",
       "67 106822.54  88657.82  91179.23  82424.04  95160.85  93345.53 103465.55\n",
       "55  94141.14  99614.15 107721.69  95700.45  82795.45 102616.19  82203.89\n",
       "56 111815.43 109732.06 115946.70  96781.03  88193.59 112452.21  68800.51\n",
       "59 150270.63 146116.89 142196.35 124904.76 134897.33 145891.00 111820.59\n",
       "52 132982.37 109468.85 117380.86 112362.56 121560.55 106629.04 137413.99\n",
       "53 121561.80  97714.02 100954.21 103390.49 109540.67  82573.95 119931.67\n",
       "51 104087.41 103654.72 101911.43 105108.70  92626.90  75392.51  79249.29\n",
       "50 116147.10  86118.33  87896.67  88112.18  98257.65  69163.14 111109.11\n",
       "54 113217.39  98376.34 112483.96 104497.27 103842.62  96379.35 119726.62\n",
       "57 100691.13 102279.64 110827.24 109753.57  92716.11  93822.92 110889.01\n",
       "58 153096.05 153259.58 148973.03 136817.12 136036.92 144991.79 108790.03\n",
       "60 136385.09 133658.47 140053.33 131627.32 125347.72 124914.24 123754.20\n",
       "61 114966.14 105302.13 106798.96  99519.38  95209.19  93879.24  87634.90\n",
       "65 100338.86  80091.07  79057.39  77064.56  86591.78  75750.26 107010.65\n",
       "66 105934.81 105626.82 105590.14  93525.14  92086.80 102798.10  72863.20\n",
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       "15 104170.12  57037.93  85579.02  74513.00  95625.75  90819.02 127660.46\n",
       "16  87781.25  50625.65  81760.11  62597.72  68793.74  74071.76 100019.99\n",
       "17 125664.34  86856.62 106448.48  98058.67 110250.37  94216.94 126160.48\n",
       "18 100269.23  80792.42  90987.46  82196.21  85124.92  89272.10 115164.66\n",
       "19  97088.46  63931.56  71776.80  64142.31  72040.30  81973.05  97163.72\n",
       "20 153659.71 104328.43 124736.10 115025.29 140780.62 127649.39 164602.74\n",
       "21 132788.52 106433.90 121546.93 112138.36 112815.66 116966.34 131572.43\n",
       "22  99191.94  88242.09  80932.75  74934.38  79664.55  93575.62  92753.00\n",
       "23      0.00  93083.87 105152.31 107972.83  81250.01 101761.65 104993.62\n",
       "24  93083.87      0.00  80706.29  69041.69  74811.74  70558.02 106372.34\n",
       "25 105152.31  80706.29      0.00  74189.28  88049.52  87052.27 111773.93\n",
       "26 107972.83  69041.69  74189.28      0.00  79138.69  83651.51  98846.35\n",
       "27  81250.01  74811.74  88049.52  79138.69      0.00  81977.29  83929.18\n",
       "34 101761.65  70558.02  87052.27  83651.51  81977.29      0.00  96047.11\n",
       "35 104993.62 106372.34 111773.93  98846.35  83929.18  96047.11      0.00\n",
       "36 145138.91 125763.47 122262.46 124776.21 135903.82 109823.54 142114.41\n",
       "37 125928.89 104563.06  96529.43 111162.03 114696.63  85722.96 131936.89\n",
       "38 107770.58  92216.66  83103.31 102549.71  97311.83  86804.78 118725.96\n",
       "28 109765.97  73601.01  70099.51  77292.00  90015.17  68493.07 110432.55\n",
       "29 100340.88  85734.67  84342.74  88215.86  88584.57  77836.15 100834.19\n",
       "30 132280.92  96824.96 101158.01 102767.34 116250.63  83969.28 130860.75\n",
       "31  95238.04  78036.88  89012.68  87414.69  82779.24  72144.25  96707.78\n",
       "32 105492.15  75527.41  83513.56  81665.26  89867.69  72573.31 107177.24\n",
       "33 124174.84  97411.37  88594.94 103419.01 104652.76  88704.55 123061.56\n",
       "          36        37        38        28        29        30        31\n",
       "39 136031.24 128620.55 119218.08 109230.62 118539.70 129537.96 105918.97\n",
       "40 129683.26 114292.29 107131.46  90504.11  90631.13 109795.08  84080.52\n",
       "42 120374.43  97251.01  88294.74  85095.29  90383.40 106316.88  96237.06\n",
       "47 138114.11 125885.09 121789.68 110847.20  98573.15 130349.40 103235.65\n",
       "48 129861.00 112328.34 102728.69  82271.00  99771.38  99908.62  94718.85\n",
       "49 125927.36 112632.71 105694.08  90800.83 103478.90 113053.02  83822.01\n",
       "41 133363.21 111403.20  99165.28  90331.99  77039.46 112335.68  79434.86\n",
       "43 144945.73 130253.29 117571.75 122765.19 104096.19 139022.39 115532.77\n",
       "44 130697.11 119685.71 112801.24  99492.93  94102.16 119220.51  87250.93\n",
       "45 131771.39 112896.81 102245.02  82643.28  82259.87 106670.77  89961.29\n",
       "46 131851.14 122629.85 113902.08  98956.69  95964.41 119740.40  94535.57\n",
       "70 131345.05 116642.18 105495.37  93138.89  88338.77 117137.05  81481.35\n",
       "71 121683.65 102919.91  92218.73  74663.24  83278.02 101236.00  82823.86\n",
       "72 118659.36 104653.92  94655.31  75133.80  83681.25  99689.56  81692.15\n",
       "68 116602.29 106996.97 105919.58  78062.97  91675.31  88044.40  82559.15\n",
       "69 120591.50 106033.82 100949.55  75680.02  94248.51  93849.70  89553.65\n",
       "67 114463.17 108825.97 103737.02  87475.64  95459.01 103849.96  88200.18\n",
       "55 136278.63 126178.73 114127.61 109515.78  90223.32 127565.11  89019.28\n",
       "56 146430.36 139515.33 129760.95 118854.08 107286.03 139303.21 107856.23\n",
       "59 156134.18 161512.47 161294.10 147646.98 138725.28 157790.70 137376.70\n",
       "52 122719.63 111474.38 120673.80 115007.10 101321.69 102290.67 103982.13\n",
       "53 102833.58  84030.45 101116.09  87274.22  95270.35  83002.47  91028.10\n",
       "51 116907.73 100996.69  98948.65  90167.95  77172.80 107972.90  82243.32\n",
       "50  92347.28  78498.30  90208.98  63298.63  83625.72  70314.78  65831.91\n",
       "54 122526.57 110404.76 117380.51 108548.03  94719.36 111749.68  86262.36\n",
       "57 137595.57 118254.61 109267.92 112096.12  78006.44 125060.53  93531.26\n",
       "58 141391.51 155024.72 160183.71 147040.89 144644.66 150611.71 126887.14\n",
       "60 151227.88 144742.55 144116.17 139599.84 117028.57 144057.70 119207.71\n",
       "61 122285.72 118976.68 113977.46  99096.37 107588.44 111973.78  86358.42\n",
       "65 109499.23  92998.24  88360.15  73962.76  72852.80  91265.47  71065.67\n",
       "66 143964.51 128059.87 108398.67 106754.38  84231.28 128536.62  97850.68\n",
       "63  92257.38  96243.38 117158.37  89561.19 111119.56  83053.75  89695.22\n",
       "64 153956.77 144216.95 142673.14 136326.79 139682.52 145700.61 123794.89\n",
       "62 121440.45 126612.10 150749.63 137631.16 135195.30 131453.96 120215.21\n",
       "1  119709.98 104499.60 100266.16  77909.44  94746.69 101833.44  79537.14\n",
       "2  115752.02  99253.33  93638.65  74552.82  98521.84  93605.26  87139.42\n",
       "3  130488.54 121700.51 110037.05  99235.78 111021.01 114629.28  92532.81\n",
       "4  122563.88 101019.98  91284.79  74530.82  83123.32  95270.14  70046.57\n",
       "5  121188.18 100054.18  91996.27  74839.87  79995.79  90409.30  75443.54\n",
       "6  136590.14 127557.31 116557.50 115021.99 113934.21 130860.84  94508.42\n",
       "7  133642.60 124193.25 112420.39 100480.25 105051.24 121497.03  87972.97\n",
       "8  127777.31 109361.72 100191.82  87881.37  98824.53 114752.84  90513.63\n",
       "9  136910.17 119976.12 113378.21  99862.65 114983.06 112489.18 103231.30\n",
       "10 129445.68 110752.58  95866.21  89345.55  92008.32 106150.65  84555.54\n",
       "11 131004.00 109379.76  91299.47  83791.14  86854.20 105866.32  82347.47\n",
       "12 120983.80  99564.76  91220.06  80721.82  72340.67 104126.75  70954.49\n",
       "13 120437.39 110355.86 106036.11  80702.61  94790.98  99387.80  86223.07\n",
       "14 125305.51 106099.91  96654.03  79983.96  88583.80 101097.78  81528.47\n",
       "15 126591.58 105914.15 104033.87  81236.66  93884.14  99821.02  87236.94\n",
       "16 129990.45 107276.63  94293.05  80907.82  82033.15 102852.53  77027.57\n",
       "17 127940.83 119079.10 114987.66  91755.08 114039.08 107114.11 101300.28\n",
       "18 124361.38 103462.48 103085.24  89821.71  87948.40 108145.66  85409.11\n",
       "19 131099.78 103331.22  91342.05  79793.84  79775.79 106041.24  82937.34\n",
       "20 156631.73 137476.00 132309.09 114711.36 139102.85 128396.68 133710.65\n",
       "21 170422.75 146724.84 130413.31 122947.56 119490.79 143446.06 133460.27\n",
       "22 131082.48 113553.81  97738.72  87607.12  89204.65 114030.68  89525.77\n",
       "23 145138.91 125928.89 107770.58 109765.97 100340.88 132280.92  95238.04\n",
       "24 125763.47 104563.06  92216.66  73601.01  85734.67  96824.96  78036.88\n",
       "25 122262.46  96529.43  83103.31  70099.51  84342.74 101158.01  89012.68\n",
       "26 124776.21 111162.03 102549.71  77292.00  88215.86 102767.34  87414.69\n",
       "27 135903.82 114696.63  97311.83  90015.17  88584.57 116250.63  82779.24\n",
       "34 109823.54  85722.96  86804.78  68493.07  77836.15  83969.28  72144.25\n",
       "35 142114.41 131936.89 118725.96 110432.55 100834.19 130860.75  96707.78\n",
       "36      0.00  90073.24 129402.19 104821.71 125556.41  86763.63 105636.16\n",
       "37  90073.24      0.00  86477.80  82499.95  93191.62  85492.38  94378.01\n",
       "38 129402.19  86477.80      0.00  79367.71  81027.84 107960.41  93848.73\n",
       "28 104821.71  82499.95  79367.71      0.00  82274.16  84411.87  77753.79\n",
       "29 125556.41  93191.62  81027.84  82274.16      0.00  98261.85  80665.26\n",
       "30  86763.63  85492.38 107960.41  84411.87  98261.85      0.00  85488.21\n",
       "31 105636.16  94378.01  93848.73  77753.79  80665.26  85488.21      0.00\n",
       "32 102278.62  90187.41  93607.47  62455.36  90737.26  85221.71  67921.84\n",
       "33  92275.53  76670.64  87276.12  70333.35  97952.79  89968.41  89268.49\n",
       "          32        33\n",
       "39 108391.37 121993.46\n",
       "40  88449.74 100042.75\n",
       "42  94266.57  95023.76\n",
       "47 111531.04 127448.22\n",
       "48  90727.65 104320.33\n",
       "49  85829.85 100606.53\n",
       "41  91030.55 110556.01\n",
       "43 119322.48 120064.59\n",
       "44 100756.94 117482.22\n",
       "45  91779.19 109075.02\n",
       "46 100760.76 117334.83\n",
       "70  89789.63 115285.71\n",
       "71  78003.79  94976.66\n",
       "72  77858.99  98954.63\n",
       "68  83379.44 101970.75\n",
       "69  83392.74  95354.13\n",
       "67  83420.13  98790.38\n",
       "55 108157.20 120731.36\n",
       "56 115581.61 130999.42\n",
       "59 143520.39 154930.49\n",
       "52 109921.55 114675.43\n",
       "53  89059.17  90762.74\n",
       "51  91287.37  98840.19\n",
       "50  63570.73  77662.25\n",
       "54 106376.70 115328.91\n",
       "57 113456.95 118941.32\n",
       "58 136219.90 145257.84\n",
       "60 135742.82 140293.54\n",
       "61  94630.52 108523.21\n",
       "65  78902.05  88887.52\n",
       "66 109574.74 126139.67\n",
       "63  83848.17  89925.25\n",
       "64 126836.90 140203.64\n",
       "62 122880.49 132188.38\n",
       "1   76635.59  96466.56\n",
       "2   75879.26  94001.11\n",
       "3   94613.08 113824.58\n",
       "4   71920.86  94915.14\n",
       "5   82968.78  96019.62\n",
       "6  106819.73 125375.87\n",
       "7   93481.97 116219.97\n",
       "8   82724.80  97118.84\n",
       "9  102728.34 117727.73\n",
       "10  93449.84 107902.52\n",
       "11  87292.01 105676.95\n",
       "12  83955.97  95691.06\n",
       "13  86036.64 101502.04\n",
       "14  78067.59  99656.26\n",
       "15  84792.76 106186.27\n",
       "16  78746.60 102714.01\n",
       "17  90414.94 110954.54\n",
       "18  95232.49 105375.90\n",
       "19  84740.38  98734.37\n",
       "20 123043.55 133408.83\n",
       "21 131148.81 140269.92\n",
       "22  94743.84 107061.31\n",
       "23 105492.15 124174.84\n",
       "24  75527.41  97411.37\n",
       "25  83513.56  88594.94\n",
       "26  81665.26 103419.01\n",
       "27  89867.69 104652.76\n",
       "34  72573.31  88704.55\n",
       "35 107177.24 123061.56\n",
       "36 102278.62  92275.53\n",
       "37  90187.41  76670.64\n",
       "38  93607.47  87276.12\n",
       "28  62455.36  70333.35\n",
       "29  90737.26  97952.79\n",
       "30  85221.71  89968.41\n",
       "31  67921.84  89268.49\n",
       "32      0.00  78707.62\n",
       "33  78707.62      0.00"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>72</li>\n",
       "\t<li>72</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 72\n",
       "\\item 72\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 72\n",
       "2. 72\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] 72 72"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Now, we compute the distance matrix:\n",
    "\n",
    "Golub.distance.matrix=dist(t(Golub.expression.data))\n",
    "\n",
    "# We used 't' to transpose the matrix. This is just because dist works on rows and we want distance on columns.\n",
    "\n",
    "as.matrix(Golub.distance.matrix)\n",
    " \n",
    "dim(as.matrix(Golub.distance.matrix))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>39</th><th scope=col>40</th><th scope=col>42</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>39</th><td>0               </td><td>16038.2434439186</td><td>29333.9767138976</td></tr>\n",
       "\t<tr><th scope=row>40</th><td>16038.2434439186</td><td>0               </td><td>13605.9705171535</td></tr>\n",
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       "\t<tr><th scope=row>47</th><td>23552.9423836755</td><td>39417.4121693621</td><td>52201.8324270926</td></tr>\n",
       "\t<tr><th scope=row>48</th><td>64453.9849933956</td><td>49578.2133702788</td><td>40471.7633405931</td></tr>\n",
       "\t<tr><th scope=row>49</th><td>23270.2385111487</td><td>7549.20365531733</td><td>8813.71057559277</td></tr>\n",
       "\t<tr><th scope=row>41</th><td>18897.4685257976</td><td>12677.0867586647</td><td>22203.3989837184</td></tr>\n",
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       "\t<tr><th scope=row>44</th><td>11608.8365898732</td><td>19495.1874893196</td><td>32620.364496308 </td></tr>\n",
       "\t<tr><th scope=row>45</th><td>21986.180776137 </td><td>12334.7689293691</td><td>19276.3804044188</td></tr>\n",
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       "\t<tr><th scope=row>71</th><td>32141.6244376901</td><td>16404.8423103425</td><td>8766.06274749528</td></tr>\n",
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       "\t<tr><th scope=row>55</th><td>28240.2538157187</td><td>43921.7962040931</td><td>56440.5931774652</td></tr>\n",
       "\t<tr><th scope=row>56</th><td>43148.7246669143</td><td>59156.8970358259</td><td>72449.6131464191</td></tr>\n",
       "\t<tr><th scope=row>59</th><td>60222.2613998395</td><td>75936.3966078412</td><td>88284.3689607091</td></tr>\n",
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       "\t<tr><th scope=row>53</th><td>66068.7537285338</td><td>55304.8679704626</td><td>45202.5765837667</td></tr>\n",
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       "\t<tr><th scope=row>50</th><td>61453.661678579 </td><td>50071.0256127093</td><td>39578.0327057698</td></tr>\n",
       "\t<tr><th scope=row>54</th><td>38451.9163659507</td><td>34484.9386406519</td><td>32855.4111082329</td></tr>\n",
       "\t<tr><th scope=row>57</th><td>22336.9612840752</td><td>26702.3531153925</td><td>33277.0791621479</td></tr>\n",
       "\t<tr><th scope=row>58</th><td>78923.9514118395</td><td>90817.4184905822</td><td>99201.3293937777</td></tr>\n",
       "\t<tr><th scope=row>60</th><td>47008.8860969912</td><td>58032.4652076926</td><td>66401.4950917156</td></tr>\n",
       "\t<tr><th scope=row>61</th><td>31936.1618089788</td><td>38859.938899306 </td><td>45389.6195458329</td></tr>\n",
       "\t<tr><th scope=row>65</th><td>41662.856109954 </td><td>30493.639778679 </td><td>21729.9704590229</td></tr>\n",
       "\t<tr><th scope=row></th><td>⋮</td><td>⋮</td><td>⋮</td></tr>\n",
       "\t<tr><th scope=row>9</th><td>84087.7696390347</td><td>68371.5945561943</td><td>56914.274729172 </td></tr>\n",
       "\t<tr><th scope=row>10</th><td>43710.1617488486</td><td>28192.5929461727</td><td>18740.4977464523</td></tr>\n",
       "\t<tr><th scope=row>11</th><td>47169.6007661671</td><td>32728.4667497134</td><td>25695.9432660911</td></tr>\n",
       "\t<tr><th scope=row>12</th><td>15850.4255260353</td><td>2929.89908810448</td><td>13527.1845868817</td></tr>\n",
       "\t<tr><th scope=row>13</th><td>38671.0422776345</td><td>23960.2909171867</td><td>17704.451396332 </td></tr>\n",
       "\t<tr><th scope=row>14</th><td>42313.08972269  </td><td>26675.2000847951</td><td>16940.5991114831</td></tr>\n",
       "\t<tr><th scope=row>15</th><td>63945.9652041395</td><td>48678.7726781357</td><td>38722.0035208157</td></tr>\n",
       "\t<tr><th scope=row>16</th><td>39902.3225899748</td><td>26454.0318696019</td><td>22482.6239271085</td></tr>\n",
       "\t<tr><th scope=row>17</th><td>60941.4322628754</td><td>44903.2095498701</td><td>32095.0352657368</td></tr>\n",
       "\t<tr><th scope=row>18</th><td>28732.0890684024</td><td>12930.6532369879</td><td>806.15210698752 </td></tr>\n",
       "\t<tr><th scope=row>19</th><td>27388.7200989158</td><td>14671.5210875502</td><td>16341.8068731787</td></tr>\n",
       "\t<tr><th scope=row>20</th><td>98883.0366662971</td><td>83615.3417773099</td><td>73062.1020631234</td></tr>\n",
       "\t<tr><th scope=row>21</th><td>52623.723702172 </td><td>41433.7327812249</td><td>38914.2628467944</td></tr>\n",
       "\t<tr><th scope=row>22</th><td>16569.0756607657</td><td>14722.6495181326</td><td>25846.3448111743</td></tr>\n",
       "\t<tr><th scope=row>23</th><td>21246.9946132969</td><td>19170.8405936012</td><td>28929.5176668179</td></tr>\n",
       "\t<tr><th scope=row>24</th><td>49496.9676313078</td><td>34589.9709344227</td><td>26278.4788852099</td></tr>\n",
       "\t<tr><th scope=row>25</th><td>38157.8211572865</td><td>22204.4697786791</td><td>11306.9727314499</td></tr>\n",
       "\t<tr><th scope=row>26</th><td>30319.8546655358</td><td>17702.3863860653</td><td>18000.4687557743</td></tr>\n",
       "\t<tr><th scope=row>27</th><td>14045.3614142255</td><td>14890.9269070635</td><td>27010.6740378817</td></tr>\n",
       "\t<tr><th scope=row>34</th><td>44953.2503770168</td><td>31688.2255131206</td><td>20194.2070803233</td></tr>\n",
       "\t<tr><th scope=row>35</th><td>32381.1640585531</td><td>48259.4765952585</td><td>60995.7334108935</td></tr>\n",
       "\t<tr><th scope=row>36</th><td>96731.9412224668</td><td>89595.7421322603</td><td>81809.3499966411</td></tr>\n",
       "\t<tr><th scope=row>37</th><td>79560.1639081888</td><td>68649.0636042383</td><td>58065.0319637561</td></tr>\n",
       "\t<tr><th scope=row>38</th><td>46883.7881826109</td><td>31260.9442558865</td><td>17656.2585875449</td></tr>\n",
       "\t<tr><th scope=row>28</th><td>55168.9428012   </td><td>39794.5152995221</td><td>26215.2530753636</td></tr>\n",
       "\t<tr><th scope=row>29</th><td>25746.277934528 </td><td>13666.8813860563</td><td>10084.299011982 </td></tr>\n",
       "\t<tr><th scope=row>30</th><td>82071.025867796 </td><td>69898.0393157701</td><td>58247.5862369418</td></tr>\n",
       "\t<tr><th scope=row>31</th><td>37452.564965451 </td><td>27353.9259767576</td><td>20502.1114293489</td></tr>\n",
       "\t<tr><th scope=row>32</th><td>50914.9297093897</td><td>37305.236361112 </td><td>25121.432732103 </td></tr>\n",
       "\t<tr><th scope=row>33</th><td>69612.2141257714</td><td>58251.0484538573</td><td>47514.468595391 </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lll}\n",
       "  & 39 & 40 & 42\\\\\n",
       "\\hline\n",
       "\t39 & 0                & 16038.2434439186 & 29333.9767138976\\\\\n",
       "\t40 & 16038.2434439186 & 0                & 13605.9705171535\\\\\n",
       "\t42 & 29333.9767138976 & 13605.9705171535 & 0               \\\\\n",
       "\t47 & 23552.9423836755 & 39417.4121693621 & 52201.8324270926\\\\\n",
       "\t48 & 64453.9849933956 & 49578.2133702788 & 40471.7633405931\\\\\n",
       "\t49 & 23270.2385111487 & 7549.20365531733 & 8813.71057559277\\\\\n",
       "\t41 & 18897.4685257976 & 12677.0867586647 & 22203.3989837184\\\\\n",
       "\t43 & 24877.9275196879 & 39980.5345240873 & 52022.3289901934\\\\\n",
       "\t44 & 11608.8365898732 & 19495.1874893196 & 32620.364496308 \\\\\n",
       "\t45 & 21986.180776137  & 12334.7689293691 & 19276.3804044188\\\\\n",
       "\t46 & 12353.1974412281 & 27480.5752421663 & 41065.2781010112\\\\\n",
       "\t70 & 11567.2338485458 & 25791.26659      & 39396.0382737991\\\\\n",
       "\t71 & 32141.6244376901 & 16404.8423103425 & 8766.06274749528\\\\\n",
       "\t72 & 21340.2131000514 & 8112.77062347784 & 14064.7548887292\\\\\n",
       "\t68 & 46960.488117714  & 30967.8411939793 & 19043.3116656109\\\\\n",
       "\t69 & 60749.4126702763 & 44960.9774229933 & 33626.7933561275\\\\\n",
       "\t67 & 23261.0401743963 & 13495.3406318589 & 13501.6078622663\\\\\n",
       "\t55 & 28240.2538157187 & 43921.7962040931 & 56440.5931774652\\\\\n",
       "\t56 & 43148.7246669143 & 59156.8970358259 & 72449.6131464191\\\\\n",
       "\t59 & 60222.2613998395 & 75936.3966078412 & 88284.3689607091\\\\\n",
       "\t52 & 68650.7572883528 & 56900.8126502351 & 45852.5701350388\\\\\n",
       "\t53 & 66068.7537285338 & 55304.8679704626 & 45202.5765837667\\\\\n",
       "\t51 & 34445.4423128612 & 39368.2090843029 & 44407.9441518336\\\\\n",
       "\t50 & 61453.661678579  & 50071.0256127093 & 39578.0327057698\\\\\n",
       "\t54 & 38451.9163659507 & 34484.9386406519 & 32855.4111082329\\\\\n",
       "\t57 & 22336.9612840752 & 26702.3531153925 & 33277.0791621479\\\\\n",
       "\t58 & 78923.9514118395 & 90817.4184905822 & 99201.3293937777\\\\\n",
       "\t60 & 47008.8860969912 & 58032.4652076926 & 66401.4950917156\\\\\n",
       "\t61 & 31936.1618089788 & 38859.938899306  & 45389.6195458329\\\\\n",
       "\t65 & 41662.856109954  & 30493.639778679  & 21729.9704590229\\\\\n",
       "\t & ⋮ & ⋮ & ⋮\\\\\n",
       "\t9 & 84087.7696390347 & 68371.5945561943 & 56914.274729172 \\\\\n",
       "\t10 & 43710.1617488486 & 28192.5929461727 & 18740.4977464523\\\\\n",
       "\t11 & 47169.6007661671 & 32728.4667497134 & 25695.9432660911\\\\\n",
       "\t12 & 15850.4255260353 & 2929.89908810448 & 13527.1845868817\\\\\n",
       "\t13 & 38671.0422776345 & 23960.2909171867 & 17704.451396332 \\\\\n",
       "\t14 & 42313.08972269   & 26675.2000847951 & 16940.5991114831\\\\\n",
       "\t15 & 63945.9652041395 & 48678.7726781357 & 38722.0035208157\\\\\n",
       "\t16 & 39902.3225899748 & 26454.0318696019 & 22482.6239271085\\\\\n",
       "\t17 & 60941.4322628754 & 44903.2095498701 & 32095.0352657368\\\\\n",
       "\t18 & 28732.0890684024 & 12930.6532369879 & 806.15210698752 \\\\\n",
       "\t19 & 27388.7200989158 & 14671.5210875502 & 16341.8068731787\\\\\n",
       "\t20 & 98883.0366662971 & 83615.3417773099 & 73062.1020631234\\\\\n",
       "\t21 & 52623.723702172  & 41433.7327812249 & 38914.2628467944\\\\\n",
       "\t22 & 16569.0756607657 & 14722.6495181326 & 25846.3448111743\\\\\n",
       "\t23 & 21246.9946132969 & 19170.8405936012 & 28929.5176668179\\\\\n",
       "\t24 & 49496.9676313078 & 34589.9709344227 & 26278.4788852099\\\\\n",
       "\t25 & 38157.8211572865 & 22204.4697786791 & 11306.9727314499\\\\\n",
       "\t26 & 30319.8546655358 & 17702.3863860653 & 18000.4687557743\\\\\n",
       "\t27 & 14045.3614142255 & 14890.9269070635 & 27010.6740378817\\\\\n",
       "\t34 & 44953.2503770168 & 31688.2255131206 & 20194.2070803233\\\\\n",
       "\t35 & 32381.1640585531 & 48259.4765952585 & 60995.7334108935\\\\\n",
       "\t36 & 96731.9412224668 & 89595.7421322603 & 81809.3499966411\\\\\n",
       "\t37 & 79560.1639081888 & 68649.0636042383 & 58065.0319637561\\\\\n",
       "\t38 & 46883.7881826109 & 31260.9442558865 & 17656.2585875449\\\\\n",
       "\t28 & 55168.9428012    & 39794.5152995221 & 26215.2530753636\\\\\n",
       "\t29 & 25746.277934528  & 13666.8813860563 & 10084.299011982 \\\\\n",
       "\t30 & 82071.025867796  & 69898.0393157701 & 58247.5862369418\\\\\n",
       "\t31 & 37452.564965451  & 27353.9259767576 & 20502.1114293489\\\\\n",
       "\t32 & 50914.9297093897 & 37305.236361112  & 25121.432732103 \\\\\n",
       "\t33 & 69612.2141257714 & 58251.0484538573 & 47514.468595391 \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "1. 0\n",
       "2. 16038.2434439186\n",
       "3. 29333.9767138976\n",
       "4. 23552.9423836755\n",
       "5. 64453.9849933956\n",
       "6. 23270.2385111487\n",
       "7. 18897.4685257976\n",
       "8. 24877.9275196879\n",
       "9. 11608.8365898732\n",
       "10. 21986.180776137\n",
       "11. 12353.1974412281\n",
       "12. 11567.2338485458\n",
       "13. 32141.6244376901\n",
       "14. 21340.2131000514\n",
       "15. 46960.488117714\n",
       "16. 60749.4126702763\n",
       "17. 23261.0401743963\n",
       "18. 28240.2538157187\n",
       "19. 43148.7246669143\n",
       "20. 60222.2613998395\n",
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       "22. 66068.7537285338\n",
       "23. 34445.4423128612\n",
       "24. 61453.661678579\n",
       "25. 38451.9163659507\n",
       "26. 22336.9612840752\n",
       "27. 78923.9514118395\n",
       "28. 47008.8860969912\n",
       "29. 31936.1618089788\n",
       "30. 41662.856109954\n",
       "31. 21850.1625198797\n",
       "32. 82192.9631578486\n",
       "33. 34644.7554055924\n",
       "34. 69307.2353082261\n",
       "35. 36152.4963607214\n",
       "36. 61654.5980289025\n",
       "37. 43095.3955188989\n",
       "38. 32738.0750111521\n",
       "39. 52956.8492487311\n",
       "40. 16636.2329448664\n",
       "41. 8715.12577334857\n",
       "42. 21703.2014929805\n",
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       "44. 43710.1617488486\n",
       "45. 47169.6007661671\n",
       "46. 15850.4255260353\n",
       "47. 38671.0422776345\n",
       "48. 42313.08972269\n",
       "49. 63945.9652041395\n",
       "50. 39902.3225899748\n",
       "51. 60941.4322628754\n",
       "52. 28732.0890684024\n",
       "53. 27388.7200989158\n",
       "54. 98883.0366662971\n",
       "55. 52623.723702172\n",
       "56. 16569.0756607657\n",
       "57. 21246.9946132969\n",
       "58. 49496.9676313078\n",
       "59. 38157.8211572865\n",
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       "65. 79560.1639081888\n",
       "66. 46883.7881826109\n",
       "67. 55168.9428012\n",
       "68. 25746.277934528\n",
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       "72. 69612.2141257714\n",
       "73. 16038.2434439186\n",
       "74. 0\n",
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       "77. 49578.2133702788\n",
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       "79. 12677.0867586647\n",
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       "82. 12334.7689293691\n",
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       "91. 59156.8970358259\n",
       "92. 75936.3966078412\n",
       "93. 56900.8126502351\n",
       "94. 55304.8679704626\n",
       "95. 39368.2090843029\n",
       "96. 50071.0256127093\n",
       "97. 34484.9386406519\n",
       "98. 26702.3531153925\n",
       "99. 90817.4184905822\n",
       "100. 58032.4652076926\n",
       "101. 38859.938899306\n",
       "102. 30493.639778679\n",
       "103. 37387.3493678854\n",
       "104. 70577.4908549705\n",
       "105. 31620.6904862909\n",
       "106. 69175.9404608289\n",
       "107. 21411.2309009949\n",
       "108. 45630.7258205048\n",
       "109. 28307.2939627\n",
       "110. 18527.0783213827\n",
       "111. 37243.3315602286\n",
       "112. 3425.61811688661\n",
       "113. 22396.9310228112\n",
       "114. 6627.591787892\n",
       "115. 68371.5945561943\n",
       "116. 28192.5929461727\n",
       "117. 32728.4667497134\n",
       "118. 2929.89908810448\n",
       "119. 23960.2909171867\n",
       "120. 26675.2000847951\n",
       "121. 48678.7726781357\n",
       "122. 26454.0318696019\n",
       "123. 44903.2095498701\n",
       "124. 12930.6532369879\n",
       "125. 14671.5210875502\n",
       "126. 83615.3417773099\n",
       "127. 41433.7327812249\n",
       "128. 14722.6495181326\n",
       "129. 19170.8405936012\n",
       "130. 34589.9709344227\n",
       "131. 22204.4697786791\n",
       "132. 17702.3863860653\n",
       "133. 14890.9269070635\n",
       "134. 31688.2255131206\n",
       "135. 48259.4765952585\n",
       "136. 89595.7421322603\n",
       "137. 68649.0636042383\n",
       "138. 31260.9442558865\n",
       "139. 39794.5152995221\n",
       "140. 13666.8813860563\n",
       "141. 69898.0393157701\n",
       "142. 27353.9259767576\n",
       "143. 37305.236361112\n",
       "144. 58251.0484538573\n",
       "145. 29333.9767138976\n",
       "146. 13605.9705171535\n",
       "147. 0\n",
       "148. 52201.8324270926\n",
       "149. 40471.7633405931\n",
       "150. 8813.71057559277\n",
       "151. 22203.3989837184\n",
       "152. 52022.3289901934\n",
       "153. 32620.364496308\n",
       "154. 19276.3804044188\n",
       "155. 41065.2781010112\n",
       "156. 39396.0382737991\n",
       "157. 8766.06274749528\n",
       "158. 14064.7548887292\n",
       "159. 19043.3116656109\n",
       "160. 33626.7933561275\n",
       "161. 13501.6078622663\n",
       "162. 56440.5931774652\n",
       "163. 72449.6131464191\n",
       "164. 88284.3689607091\n",
       "165. 45852.5701350388\n",
       "166. 45202.5765837667\n",
       "167. 44407.9441518336\n",
       "168. 39578.0327057698\n",
       "169. 32855.4111082329\n",
       "170. 33277.0791621479\n",
       "171. 99201.3293937777\n",
       "172. 66401.4950917156\n",
       "173. 45389.6195458329\n",
       "174. 21729.9704590229\n",
       "175. 50943.1520486625\n",
       "176. 59369.1969235499\n",
       "177. 31385.2776201257\n",
       "178. 68033.225126501\n",
       "179. 15742.9257903692\n",
       "180. 32581.9101166681\n",
       "181. 21029.9321609427\n",
       "182. 15274.1430393757\n",
       "183. 26429.7458470023\n",
       "184. 14736.1867514738\n",
       "185. 36000.2177398892\n",
       "186. 11047.1681935355\n",
       "187. 56914.274729172\n",
       "188. 18740.4977464523\n",
       "189. 25695.9432660911\n",
       "190. 13527.1845868817\n",
       "191. 17704.451396332\n",
       "192. 16940.5991114831\n",
       "193. 38722.0035208157\n",
       "194. 22482.6239271085\n",
       "195. 32095.0352657368\n",
       "196. 806.15210698752\n",
       "197. 16341.8068731787\n",
       "198. 73062.1020631234\n",
       "199. 38914.2628467944\n",
       "200. 25846.3448111743\n",
       "201. 28929.5176668179\n",
       "202. 26278.4788852099\n",
       "203. 11306.9727314499\n",
       "204. 18000.4687557743\n",
       "205. 27010.6740378817\n",
       "206. 20194.2070803233\n",
       "207. 60995.7334108935\n",
       "208. 81809.3499966411\n",
       "209. 58065.0319637561\n",
       "210. 17656.2585875449\n",
       "211. 26215.2530753636\n",
       "212. 10084.299011982\n",
       "213. 58247.5862369418\n",
       "214. 20502.1114293489\n",
       "215. 25121.432732103\n",
       "216. 47514.468595391\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "          39        40         42\n",
       "39     0.000 16038.243 29333.9767\n",
       "40 16038.243     0.000 13605.9705\n",
       "42 29333.977 13605.971     0.0000\n",
       "47 23552.942 39417.412 52201.8324\n",
       "48 64453.985 49578.213 40471.7633\n",
       "49 23270.239  7549.204  8813.7106\n",
       "41 18897.469 12677.087 22203.3990\n",
       "43 24877.928 39980.535 52022.3290\n",
       "44 11608.837 19495.187 32620.3645\n",
       "45 21986.181 12334.769 19276.3804\n",
       "46 12353.197 27480.575 41065.2781\n",
       "70 11567.234 25791.267 39396.0383\n",
       "71 32141.624 16404.842  8766.0627\n",
       "72 21340.213  8112.771 14064.7549\n",
       "68 46960.488 30967.841 19043.3117\n",
       "69 60749.413 44960.977 33626.7934\n",
       "67 23261.040 13495.341 13501.6079\n",
       "55 28240.254 43921.796 56440.5932\n",
       "56 43148.725 59156.897 72449.6131\n",
       "59 60222.261 75936.397 88284.3690\n",
       "52 68650.757 56900.813 45852.5701\n",
       "53 66068.754 55304.868 45202.5766\n",
       "51 34445.442 39368.209 44407.9442\n",
       "50 61453.662 50071.026 39578.0327\n",
       "54 38451.916 34484.939 32855.4111\n",
       "57 22336.961 26702.353 33277.0792\n",
       "58 78923.951 90817.418 99201.3294\n",
       "60 47008.886 58032.465 66401.4951\n",
       "61 31936.162 38859.939 45389.6195\n",
       "65 41662.856 30493.640 21729.9705\n",
       "66 21850.163 37387.349 50943.1520\n",
       "63 82192.963 70577.491 59369.1969\n",
       "64 34644.755 31620.690 31385.2776\n",
       "62 69307.235 69175.940 68033.2251\n",
       "1  36152.496 21411.231 15742.9258\n",
       "2  61654.598 45630.726 32581.9101\n",
       "3  43095.396 28307.294 21029.9322\n",
       "4  32738.075 18527.078 15274.1430\n",
       "5  52956.849 37243.332 26429.7458\n",
       "6  16636.233  3425.618 14736.1868\n",
       "7   8715.126 22396.931 36000.2177\n",
       "8  21703.201  6627.592 11047.1682\n",
       "9  84087.770 68371.595 56914.2747\n",
       "10 43710.162 28192.593 18740.4977\n",
       "11 47169.601 32728.467 25695.9433\n",
       "12 15850.426  2929.899 13527.1846\n",
       "13 38671.042 23960.291 17704.4514\n",
       "14 42313.090 26675.200 16940.5991\n",
       "15 63945.965 48678.773 38722.0035\n",
       "16 39902.323 26454.032 22482.6239\n",
       "17 60941.432 44903.210 32095.0353\n",
       "18 28732.089 12930.653   806.1521\n",
       "19 27388.720 14671.521 16341.8069\n",
       "20 98883.037 83615.342 73062.1021\n",
       "21 52623.724 41433.733 38914.2628\n",
       "22 16569.076 14722.650 25846.3448\n",
       "23 21246.995 19170.841 28929.5177\n",
       "24 49496.968 34589.971 26278.4789\n",
       "25 38157.821 22204.470 11306.9727\n",
       "26 30319.855 17702.386 18000.4688\n",
       "27 14045.361 14890.927 27010.6740\n",
       "34 44953.250 31688.226 20194.2071\n",
       "35 32381.164 48259.477 60995.7334\n",
       "36 96731.941 89595.742 81809.3500\n",
       "37 79560.164 68649.064 58065.0320\n",
       "38 46883.788 31260.944 17656.2586\n",
       "28 55168.943 39794.515 26215.2531\n",
       "29 25746.278 13666.881 10084.2990\n",
       "30 82071.026 69898.039 58247.5862\n",
       "31 37452.565 27353.926 20502.1114\n",
       "32 50914.930 37305.236 25121.4327\n",
       "33 69612.214 58251.048 47514.4686"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# cmdscale takes the distance matrix and produces a 72x2 matrix,\n",
    "#    while preserving the distances between the 72 subjects.\n",
    "\n",
    "MDS=cmdscale(Golub.distance.matrix) \n",
    "as.matrix(dist(MDS))[,1:3]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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       "  <use xlink:href=\"#glyph0-4\" x=\"195.972656\" y=\"254.890625\"/>\n",
       "  <use xlink:href=\"#glyph0-6\" x=\"203.976562\" y=\"254.890625\"/>\n",
       "  <use xlink:href=\"#glyph0-5\" x=\"213.972656\" y=\"254.890625\"/>\n",
       "</g>\n",
       "<g style=\"fill:rgb(0%,0%,100%);fill-opacity:1;\">\n",
       "  <use xlink:href=\"#glyph0-4\" x=\"184.074219\" y=\"187.957031\"/>\n",
       "  <use xlink:href=\"#glyph0-6\" x=\"192.078125\" y=\"187.957031\"/>\n",
       "  <use xlink:href=\"#glyph0-5\" x=\"202.074219\" y=\"187.957031\"/>\n",
       "</g>\n",
       "</g>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/svg+xml": {
       "isolated": true
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Now, we just plot the result.\n",
    "\n",
    "plot(MDS,col=c(2,4)[ pData(Golub_Merge)[[\"ALL.AML\"]]],pch=19,type=\"n\",xlab=\"\",ylab=\"\")  \n",
    "text(MDS,as.character(pData(Golub_Merge)[[\"ALL.AML\"]]),col=c(2,4)[pData(Golub_Merge)[[\"ALL.AML\"]]])\n",
    "\n",
    "# We observe the clustering of AML patients together and ALL patients together.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Heat Map"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will now generate the 'noisy' heatmap from this morning's lecture. We will generate data with *no* correspondence between gene expression and group membership."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n",
      "Attaching package: ‘genefilter’\n",
      "\n",
      "The following object is masked from ‘package:base’:\n",
      "\n",
      "    anyNA\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# Simulate noisy HM\n",
    "# load the necessary libraries\n",
    "\n",
    "library(pheatmap)\n",
    "library(genefilter)\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# n = number of members of each group, m = number of genes, alpha = significance level\n",
    "# The data simulation is almost exactly the same as the noise simulation from the supervised learning lab\n",
    "\n",
    "simulate.noise.heatmap=function(n,m,alpha)\n",
    "  {\n",
    "    # Simulate Expression Matrix\n",
    "    \n",
    "    EXPRS=matrix(rnorm(2*n*m),m,2*n) # Just randomly chosen, normally distributed values (N(0,1))\n",
    "    \n",
    "    rownames(EXPRS)=paste(\"Gene\",1:m,sep=\"\")\n",
    "    colnames(EXPRS)=paste(\"patient id\",1:(2*n),sep=\"\")\n",
    "    \n",
    "    # Assign first n patients to group 1, second n patients to group 2\n",
    "    grp=factor(rep(0:1,c(n,n))) \n",
    "    \n",
    "    # Get the two sample t-statistics\n",
    "    # run rowttests on the expression values and extract the p-values for each gene\n",
    "    pvals=rowttests(EXPRS, grp)$p.value\n",
    "\n",
    "    \n",
    "    #Choose the genes that have p-values smaller than significance level\n",
    "    topgenes=which(pvals<alpha)\n",
    "    EXPRS=EXPRS[topgenes,]\n",
    "    \n",
    "    # Just annotate which group each patient is in\n",
    "    annodat=data.frame(Condition=ifelse(grp==0,\"N\",\"Y\"),row.names=colnames(EXPRS))\n",
    "   \n",
    "\n",
    "    # draw heatmap\n",
    "    pheatmap(EXPRS,\n",
    "             border_color =NA,\n",
    "             show_rownames = FALSE,\n",
    "             show_colnames=FALSE,\n",
    "             annotation_col=annodat,\n",
    "             color=colorRampPalette(c(\"red3\", \"black\", \"green3\"))(50),\n",
    "             annotation_colors=list(Condition=c(Y=\"blue\",N=\"yellow\")))\n",
    "    \n",
    "    return(length(topgenes))  # return the number of topgenes found\n",
    "}\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1] 104\n"
     ]
    },
    {
     "data": {
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   "source": [
    "set.seed(765)\n",
    "\n",
    "# run with sample of 20000 genes and significance 0.005\n",
    "aa=simulate.noise.heatmap(20,20000,0.005)\n",
    "print(aa)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1] 99\n"
     ]
    },
    {
     "data": {
      "image/png": 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       "</svg>\n"
      ],
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/svg+xml": {
       "isolated": true
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Now simulate 40000 genes with significance 0.0025\n",
    "aa=simulate.noise.heatmap(20,40000,0.0025)\n",
    "print(aa)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1] 110\n"
     ]
    },
    {
     "data": {
      "image/png": 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CCCCAAAIIIBClAAlSlHCchgACCCCAAAIIIBA/gbKyMtmyZUv8OkDLSStAgpS0Q8uFIYAAAggggAACySfw9ttvS5cuXUQXy2nQoIHk5eXJueeeK2vXro3LxV5++eVSu3Ztueaaa4z2P/jgA+Nz/fr1ffrz66+/yuzZs33KevToYdT95z//6VPOh/gKkCDF15/WEUAAAQQQQAABBMIUuOmmm6R///7yzTffSEFBgVSpUkX27t0rb731lrRv317WrFkTZiTzqu3fv1927twp+l23kpIS47OWubepU6dKmzZt5P3333cXGd/37Nlj1C0sLPQp50N8BUiQ4utP6wgggAACCCCAAAJhCMybN08ee+wxo+bIkSNl27ZtRnIxc+ZMyc7ONhKm22+/PYxI1lY5/fTT5bvvvpOFCxd6GtIEbt8+/0VxtO9a929/+5unLjvxF2AVu/iPAT1AAAEEEEAAAQQQCCFwxx13GDX09rrx48d7aus7GtevXy96a1vbtm2NGRydWdItPz9fXnrpJfnss89k69at0qFDB7n++uuN2Rx3AI27YcMG+cc//iGrV6+WV155xUi+unfvLnfeeaeRfLnrapIzevRo+d///id169aVESNGuA95vuutfnrLXEZGhjz33HMyZswYWbRokXH8448/lqFDh8ojjzwijRs3lueff97ou77PTW8TdG96Lfq1YMEC0feM9ezZ02grPf3Q3Ma3334rTzzxhOi7r6699lp58MEHjVm1Jk2aGNd36qmnukPxPQoB3oMUBVpsp7DMd2x+nI0AAmYKsMy3mZrEQgABMwQCLfOtr+2sVq2a6K1ojz/+uNxwww0hm9LkSGdzVq1a5VNXZ5tmzJghF1xwgVF+3HHHyffffy8nn3yyfPnll5KVlSXFxcXGsYsvvlhefPFFY1/LOnXqJMuWLTM+Z2Zmii4UoS+s1tmsYcOGyfTp00WfkdLbAPW43m6nzxl9+umnxjnu/1m5cqUcffTRRjxNnjTp0mRMN018brzxRndVz3dNej766CMjYXvjjTfk/PPPF02ItB19vknb0k0Ts6VLl8oxxxzjOZedyAS4xS4yL2ojgAACCCCAAAII2Czwyy+/GMmRNtusWbOwWtcESJMjffbnzTffFJ11Oeecc4w4V155pTG75B1Ik4r58+cbzxJdccUVxiFNRNzb5MmTjeQoLS3NSLD0GaNx48YZyZG7TqDv06ZNMxI1PaZ9WrJkibRs2TJQVZk7d64nOdIkSWe0nnrqKWNBCp21uv/++33O27Rpk5x55pmyY8cOWb58uZFEatKmSRpb9AIkSNHbcSYCCCCAAAIIIICADQK6IIN709mkUJsmDF988YVRTZ9L0tvXdPZnwoQJRpkmN++++65PmMsuu0y6du1qzMjoLW+6absHDhww9j///HPj+/HHH2/cJle9enXRRSP0tr3KtiOOOMJYaU/r6GyT1q9atWrAU9555x2jXG+d0+etWrdubayOp7NFur3wwgvGd+//0dv1tC96e6HOhummM1ps0QuQIEVvx5kIIIAAAggggAACNghokqG3kum2ceNGvxY3b95s3FbmPqALJLgTqbPOOstdbDyzc9RRRxmfK956p0uGu7fc3Fz3rpSWlhr7+pySbnornvemyYxZm67Op1uvXr18QrqvQWfS3AmbVtDb6TTpcm96G6Ju7j67y/kemQAJUmRe1EYAAQQQQAABBBCwWUAXXdBndnR7/fXX/VofNWqUMTOjt9PpctvuJEgrrlixwlNfF1n4+eefjc+6SIL35l7YQcv0NrqKW7169Yyiiu9b0ueXzNrc/fbus8Z2P/dUq1Yt4zY6d3vefdYy9yIO7uN8j06ABCk6N85CAAEEEEAAAQQQsFHg3nvvNVrTW910XxdNKCoqMlap09XidNMEQ2d/mjdvbqz+pmVTpkwxbpXTGSV9H5GeowlQt27d9HDYm/tWuq+//tpYEU9P1FXmdAW9UJs7cXEv/hCs/kknnWQc0sUi3MuE6+zYa6+9ZpTrohNs1guQIFlvTAsIIIAAAggggAACMQoMHDhQdElv3e677z5j4QKd1fnLX/5i3FKmy27r8truTff1tjxdtlsTJn1Gx7063NVXXy36LFEkmy4PnpeXJ9u3bzfO7d27t5xyyik+MzrB4tWvX9849Oqrr4omQcFmnfT69Hh5ebl07txZdElzvYVPF2vQ54x0BT826wVIkKw3pgUEEEAAAQQQQAABEwT0xaqTJk0yVrLT2Zi9e/cas0F9+vQxltJ236KmTV100UUya9YsI5nRpOaHH36QmjVrytixY+Vf//pXxL3RZGzOnDmiz0Pp6nG64py+4NWddFUWUOvVrl3buP1PV9PbsmVLwOqagGkb+q4kfbZIn0nS5bt1iW/dD7b6XcBgFEYtwHuQoqaL9kTegxStHOchgID5ArwHyXxTIiKAQGwCYSxSZzSgK9Hpu450dignJ6fSRvfs2SNaX+uasemCDTpj5V4UIZyYmtDp80+6THmwVey84+gtgevWrRNdPMJ70QjvOuxbI0CCZI1rJVFJkCrB4RACCNgsQIJkMzjNIYBASIFwE6SQgaiAQJQCJEhRwnEaAggggAACCCCAAAIIJJ8AzyAl35hyRQgggAACCCCAAAIIIBClAAlSlHCchgACCCCAAAIIIIAAAsknQIKUfGPKFSGAAAIIIIAAAggggECUAiRIUcJxGgIIIIAAAggggAACZgiUlZUFXfrbjPjEiEwgM7Lq1I5VoPrBNzezxV/gQIP494EeiNTMRyHeAj2F/ybFewy0/UIndII+SEMMHCEwxVUesh9NFlQJWaeyCpu6llR22LZjb7/9tjzwwAOybNkyKSgoMF5+26NHD3nsscekVatWtvXD3dDll18ub775plx88cUyfvx4o1j7s2TJErnzzjvlpptucleVl19+Wc4++2ypVatWpfU8JyTQDjNICTRYdBUBBBBAAAEEEEAgOQQ02ejfv7/xAlhNjqpUqWK8+Patt96S9u3by5o1a2y/0P379xvvi9Lv7s39DqnCwkN/ytm6daucdtppxot43WVat2I99/mJ+J0ZJAtG7X//+5/89NNPfpH1zctsCCCAAAIIIIAAAqktMG/ePGOWSBVGjhwp9913n2RnZ4vOKA0fPtyYTbr99tvltddeizvUzJkzjf40atTI6Msvv/wi+rtuxa1ivYrHE+kzCZIFo3XZZZfJrl27pHp135fC9uvXz4LWCIkAAggggAACCCCQSAJ33HGH0d0uXbp4bmXTgiFDhsj69evlgw8+kLZt20pJSYkxs+S+Ni3XrwULFogmLD179pQRI0ZIevqhm8K+/fZbeeKJJ6RFixZy7bXXyoMPPmjMUDVp0kSuv/56OfXUU92hZN++fTJ69Ggj2albt64Rx3PQa+f55583+jRo0CBp06aNjBo1ynNUkzu9Be+aa64R73rnnnuup06oPmtF9diwYYP84x//kNWrV8srr7wi27Ztk+7duxu39mnyaOfGi2It0G7ZsqXcc889MmzYML/oPIPkRxKXAp5Bigu7X6M8g+RHYnsBzyDZTh6wQZ5BCshieyHPINlOHrBBJzyDpHcC3XrrrfL5558bz9icccYZMnbsWMnLywvY50gKXS6XVKtWTfT2tMcff1xuuOGGsE7XxOfGG2/0q6tJz0cffWTMQL3xxhty/vnniyZEmZmZ8uuvvxpJlp6UkZEhS5culWOOOUaKi4ulU6dOxrNPekzr6kIRderUMRIT/R12+vTpesiot2jRIiOZ0rY0afHeLrzwQuN5JI3nrqfPK+kWTp+13nHHHSfff/+9nHzyyfLll19KVlaW0Uc9ps9Dvfjii7pr23Yo3bStueRr6LfffpONGzf6fJWWlibfhXJFCCCAAAIIIICAQwRcBx+RieUr1GVcdNFFsmLFCmMBBZ2J+fDDD43EQGd0Yt30FjX3szvNmjULK9zcuXM9yZEmSTrL8tRTTxmLOujtbvfff79PnE2bNsmZZ54pO3bskOXLlxsJmSZAegufbpMnTzaSo7SDi4fNmDHDeO5o3LhxRnLkE6jCh86dOxvJkLv4448/lkceecT90ed7pH3WkzWBmz9/vugzUFdccYURT5M+uzcSpBjENVtv3LixHH744T5fmjDpah9sCCCAAAIIIIAAAokl8Prrr8vXX38tzz33nFx55ZXG7WP//Oc/ZfHixfLFF1/EfDG6IIN709mkcLZ33nnHqKa3zukKd61btzb6pbNFur3wwgvGd+//0cRFH/fQW/V0hkY3vW1NN50Z0+3444+XoUOHGvV00YgOHToY5cH+Jzc312jbfVxjB0vyoumzPqbStWtXY0ZLb+nTTb0OHDjgbtKW7zyDFAOz3rupU606nei9nX766UH/gRV7V2Q/bgJpWXFrmoa9BHbFtkqrVyR2oxWoGvsfQ6NtmvO8BLjFzgsjjruNWfY+jvrOafrEE080Zoz+9Kc/eTrlfgZm9+7dnrJod3TRLr2lTe840j+qV9w2b94sulKcrmTn3r755htjt1evXu4i4/tZZ51lJHI6K+WdROjtdHq7nHvTW/p0c9/lpM/76Ka3tHlvmoDprW5mbOH22d03bbNBgz/ew6LJmHtz99v92ervzCDFKKwPxek69d5fukyjTlmyIYAAAggggAACCCSWgD6/405EdIZHf9HXZ2r0GXO9bS3WTX9PPProo40wOltVcdNFEHQmRxdEcC+3fdRRRxnV9LY/703fn6SbvovIO9HQNrw39yIO7rJ69eoZu2vXrnUXGd/NSo40WKR91nO8+x3P36VJkHQ0TN50QHVpRv2H4f2lK3OwIYAAAggggAACCCSGwCmnnCK60tzKlStFbxmruEJxtFdx7733GqfqrW66r4smFBUVyUsvvWTMCOlB/R3SPYty0kknGfV1AYOFCxca+zrT5F4GXO9eimRz30qntxLqbJVuujKerqAXavNOtrTfwTaz+xysHSvKucXOAtWpU6dKxYxcmznyyCNl/MHVStgQQAABBBBAAAEEohdwHQjv2Z3oWzh05kMPPSSaiEyaNMlYIlvf9aO3tcW6DRw40FjS++WXXzbegaTtVK1a1XhRrMbWZbf1uSf3pst/P/vss/LVV1+JLpSgt//pbI8mVZq06Wp4kWy65Lcu8rB9+3bjOSRNmObMmWPMQnnfqhcopnv2SY/17dvXuE1PfSpuZve5YnwrP5MgWaCrS0HqFxsCCCCAAAIIIIBA4gq4Z2bOO+88adq0qbFstRkJkoposqVLZuu7ivSZIJ2N0buQevfubSwp7r5FTevqM++awFx11VXy/vvvG7f96UyOLrs9ZcoU4/Y/rRfupkmOxtMltHVJ8y1btsjf/vY347mlMWPGVBpGb0G85JJLjNXvdNU572edvE80u8/esa3e5z1IMQjrsoOXX365sTRiuGGyeDYpXCpL65Udbml4gocpUL45zIpUs0zgLyU8L2kZbgSBY3/sO4LGqBpU4AQWaQhqY+eB+1xlIZtr9E5sf+P/rW/wV7L88MMPxvLYFRcw0NXeZs+e7ZnlCdnJCCrs3LlT8vPzpXnz5pKTk1Ppmfpc1Lp164wFDdy34FV6QoiDmpzpjJX3M0whTjEO68yaLh2uCVOozew+h2ov1uMkSBEK6j/ISy+91FgFRNeW18+V3X9ZMXxaDX4ZqWgSl89FcWmVRisI1GIFtQoi9n88lV8I7UcP0CIJUgCUOBQdx89DHNT9m3wqzgnS8OHDjdkd/R2vUaNGRgf1dz2dQdKviqsX+18BJYkuwCINEY6gTkPqGvjnnnuu8dCe92obEYaiOgIIIIAAAggggIDDBPQ2tvLychkxYoTxXstvv/3W+OO4LmZw1113Oay3dMcKgdjmJ63oUQLE1Hs+dZU6vcXO/RIs7faqVasqfUFsi4Nry7MhgAACCCCAAAIIxCZQbuF7Q3XVulmzZsnIkSOlY8eORkf1/Tz6MlZ9Fokt+QVIkEwc41tuuUU+/vjjoEtADhgwwMTWCIUAAggggAACCCBghYDeKdS/f39j2Wv9w3izZs14x6UV0A6NSYJk4sDodOzVV18t48aNCxp18kuTgx7jAAIIIIAAAggggIAzBHRFOX05LFvqCZAgpd6Yc8UIIIAAAggggAACcRKwekHjg4vcscUowCINMQJyOgIIIIAAAggggAACCCSPADNIMY6lvsHY/aZjXeGufv36MUbkdFsEqtrSCo2EEChhme8QQtYf/kX4U6P1yqFbaMfy0qGRbKixk58HG5TNacJl4SIN5vSQKIksQIIUw+i1bt1a2rdvb6yVr2F+/fVX0SUg2RBAAAEEEEAAAQQQQCAxBUiQYhi3du3ayYIFCzwR+vbtK0cffbTx+fzzz5c1a9Z4junO2Wef7fOZDwgggAACCCCAAAIIIOAsARIki8bjk08+kcGDBxszTO4m2rRpI+MmBl/hzl2P7wgggAACCCCAAAIIIBAfARIkC9379Okjuo4+GwIIIIAAAggggAAC8RIYMWKEvPrqq/L6669Ljx49/LqxYsUK6d69u+jdUP/+97/9jqdaAavYmTziOnN0ww03SEFBgezcudPk6IRDAAEEEEAAAQQQcBW4JJavVBMcPXq0VKlSRa644go5cMB3hYuysjK5/PLLjRfhjh07NtVoAl4vM0gBWaIrHDBggLz77rvy888/i740tri42C9QWhW/IgriIODaF4dGaRIBBwrUY/U0R4xKjiN6QSd2QYBAkgrUrVtXJkyYIBdccIGMGjVKHnvsMc+VPv7448Yz9bNnz5Z69ep5ylN5hxkkE0dfs/I33njD+MrNzZUGDRqYGJ1QCCCAAAIIIIAAAghEJzBw4EC58MIL5cknn5T58+cbQX788Ue5++675a9//av0798/usBJeBYzSBYO6tdff21MV7qbaNq0qXuX7wgggAACCCCAAAII2Cowfvx4+e9//ytXXXWVfPvtt3L11VdLw4YNRWeR2P4QIEH6w8LUPX1Hkv4j1C/3ppk7GwIIIIAAAggggAAC8RDQW+0mTpwo+jtpv379RJ+dnzdvntSoUSMe3XFsmyRIFg3NN998EzDys29OD1hOIQIIIIAAAggggEB4AuW+6wyEdxK1DAF9V+eQIUPk5ZdflltvvVVOPfVUZCoI8AxSBRA+IoAAAggggAACCCCQzAI6e6SbLjDG5i9AguRvQgkCCCCAAAIIIIAAAgikqAC32Nk98Fl2N0h7AQWqBiyl0GaB/Ta3R3P+AkeXpPkXUmK7wHpx2d4mDfoL7PYvogQBBFJQgBmkFBx0LhkBBBBAAAEEEEAAAQQCCzCDFNjFlNJ33nlH7r//fk+sXr16efbZQQABBBBAAAEEEIhOwFUQ3XmchUA4AiRI4ShFWWfx4sWybds2Y615DdG2bVuRqVEG4zQEEEAAAQQQQAABBEwQuPjii0W/2AILkCAFdvErLSoqktLSUikoKBCXK/x7xfXlsLfccotfPAoQQAABBBBAAAEEEEDAeQIkSGGMyc8//yytWrWSsrKySmtr8vTwww+LJlO6ffHFF7J9+/ZKz+EgAggggAACCCCAAAIIOEeABCmMsdizZ4+RHM2dO1dWrVol1157bcCzVq9ebTxz1LNnT8nMzJTNmzeHTKoCBqLQcoEq+yxvggbCECipHkYlqlgqkFNiaXiCI5BQAixwmlDDRWcRsEyABCkC2uOPP96onZZW+bK4s2bNklq1askDDzwgH330UQQtUBUBBBBAAAEEEEAglICrMFQNjiMQvQAJUvR2YZ25c+dOmTNnjlG3cePGYZ1DJQQQQAABBBBAAAEEEIiPAAmShe6aEP3444/Sr18/o5XBgwdb2BqhEUAAAQQQQAABBJwu4HJZfX85zxHE+m+AF8XGKljJ+X/961+lsLDQWLRBF26YMWNGJbU5hAACCCCAAAIIIIAAAvEWIEGK9wjQPgIIIIAAAggggAACCDhGgFvsHDMUdAQBBBBAAAEEEEAgHAHXgfDfSRlOPOog4C1AguStEea+vij2lFNO8bzvyH3agQMHjF19oWywLb1GsCOU2ylQssPO1mgrmADLrQeTsa/8V+GXDPu0g7fUQipfHTX4mRwxU2AJPw9mchILgYQVIEGKcui+/PJLGT16tGRnZ3si/Prrr7Jy5UrjHUieQnYQQAABBBBAAAEEEEAgYQRIkGIYKn1hbF5enifCkiVL5LHHHpNhw4bJjh3+UxRnnnmmpy47CCCAAAIIIIAAAgjYJTBw4ED57LPP5MMPP5QTTjjBr9muXbtK27ZtZfr06X7HUq2ABMmCEZ89e7YMHz5cWrZs6RO9ffv2Ii/4FPEBAQQQQAABBBBAAAHLBfbu3Svbtm0z/pD/7bffSlZWlk+bu3fvln37WCJcUUiQfP5pmPfhkksukR49evgHvMW/iBIEEEAAAQQQQACB8AVcheHXjabmmjVrZNSoUaKPVOgz5u3atZN77rkn8O920TQQp3Nyc3Nl6dKl8sADDxhfceqG45tlmW/HDxEdRAABBBBAAAEEELBLYMuWLXLaaaeJzrKMHDlSHn30UdEFuHr27CmffvqpXd2wpB1N9C699FJ5+OGHZeHChZa0kQxBmUGyeRRdRTY3SHMBBXJLAhZTaLNAsc3t0Zy/QGNWT/NHiUNJQRzapEl/gZr+RZSkoMDUqVNl8+bNRgLhflZn8ODB0rRpU3nkkUeke/fuCa3yxBNPyNy5c41b7TRJqnirXUJfnEmdZwbJJEjCIIAAAggggAACCCS+wJFHHim33Xabz0IG1apVk44dO8qmTZsS/gIPO+wwmTx5sixbtkzuu+++hL8eKy6ABMlE1apVq3qirV+/3tjXh910xZB58+bJqlWrPMfZQQABBBBAAAEEEHCegM4W6S1o3psmRvr7XOfOnb2LE3a/T58+ctlll8nYsWONWwkT9kIs6jgJkomwRx99tKxYscKI2KJFC+P7U089JaeffroxHasP97EhgAACCCCAAAIIxCbgOnhfaixfkbSuzx9dddVVkpOTI3fffXckpzq6rt5q16BBA+NWu6IingHxHiwSJG8NE/aPOeYYSUtL80QqKSkxHvRzuVzy8ssve8rZQQABBBBAAAEEEHC2QGFhoQwZMkTef/99ef7556V58+bO7nAEvatVq5ZMmTJFli9fLvfee28EZyZ/VRKk5B9jrhABBBBAAAEEEEAgQoGdO3caK9dpcvTGG2/IeeedF2EE51fv3bu3MYM0bty4pHi+yixxEiSzJImDAAIIIIAAAgggkBQC+fn5xuMRa9euNZ4j79u3b1JcV6CL0FvtGjZsyEtivXBY5tsLw6xdvZ1Ol0/UB/qWLFni8w/OxbrGZjHHFIdhiInPtJNLqpgWikDRCrDkfbRypp6XY2o0giGAQCwC+mJYfX5cnz2aP39+Ut1WF8ilZs2axq12OpvEdkiABMmCfwm6wonep6rbnj17RN9azIYAAggggAACCCBgjoCr0Jw4gaI88MADxsrD1113nfHskXed6tWry9ChQ72LEmZ/zpw5Qft6zjnniP6Bn+2QAAmSBf8SvvnmG0/U+++/X5555hn585//LD169PCUs4MAAggggAACCCDgPIF///vfRqf+9a9/+XVOXxabqAmS38VQEFSABCkoTfADkWbYW7duFf2Lg754jA0BBBBAAAEEEEDAuQL6/BFbaguwSEOE46/rxdeoUcM4q6ysLOyz9aVj+sWGAAIIIIAAAggggAACzhUgQYpwbNq1ayeffvqpcVZGRkZYZ5eXlxvPIoVVmUoIIIAAAggggAACCCAQNwFusbOYvlOnTpKeni66lj6bcwSynNOV1O4JK6jFffxZPS3uQ2B0YIczupHyvbDwuf+UtzUboJzBMpuUeF4CJEheGFbs9unTR+rWrZv0S0RaYUdMBBBAAAEEEEAg+QT2Jd8lJdkVcYudTQO6Zs0a+emnn2xqjWYQQAABBBBAAAEEEEAgGgFmkKJRi/CcOnXqyN133y3Lli2L8EyqI4AAAggggAACCCCAgJ0CJEg2aH/33XdSUlIimZmZMqvpqza0SBMIIIAAAggggAACCCAQjQAJUjRqEZ6jq92Fu+JdhKGpjgACCCCAAAIIpJyAqyDlLpkLtlGAZ5BsxKYpBBBAAAEEEEAAAQQQcLYAM0g2j4+LtVxtFg/cXHHgYkptFig9zOYGac5P4MudLr8yCuwXOEPS7G+UFv0EWDnaj4QCBFJSgBmklBx2LhoBBBBAAAEEEEAAAQQCCTCDFEglirJ9+/bJ5ZdfLgUFwW+K7datWxSROQUBBBBAAAEEEEAAAQTsEiBBMkn6t99+k1mzZsnf//53qV69esCojRs3DlhOIQIIIIAAAggggED4Aq4ibg8OX4uakQqQIEUqFqK+vu+oskRo6PChISJwGAEEEEAAAQQQQAABBOIlwDNI8ZKnXQQQQAABBBBAAAEEEHCcADNINg9JbonNDdIcAk4W2OnkzqVG3xqkxmU6/ir5UXDGEK1yRjfoBQIIxFkgZROkNWvWyBVXXCFlZWUhh2D//v1GnZIS3+zmlFNO8bwAtqioyKhT2SINIRuiAgIIIIAAAggggAACCMRVIGUTpNWrV8uXX34p+sxQqG3z5s2yePFiycw8xHXsscfKxIkTxZ0U6flbt26VMWPGSHZ2tqxYsUIqJlNap3bt2vqNDQEEEEAAAQQQQCAGAdehv0vHEIFTEQgukLIJUlpampHwjBo1KrjO70eWLl0qTz/9tOg5umVlZcmIESN+P3ro248//mgkSMuWLZOzzz7b55j7w6BBg9y7fEcAAQQQQAABBBBAAAEHCqRsgmTVWLhnlfLz841EyrsdnV2qe3ApcDYEEEAAAQQQQAABBBBwpgAJkkXjUqtWLb8EyaKmCIsAAggggAACCCCAAAImCbDMt1mQ6Yco//KXv5gUkTAIIIAAAggggAACCCBgtwAzSCaJt2rVSt577z357rvv5I477gga9cBhQQ9xwEaBaqypa6N28KZK+XkIjmPTkSJ+FmySrryZgsoPc9QmAZa9twnahGbKC00IQggEggiQIAWBiab4nHPOEb21jg0BBBBAAAEEEEAAAQQSU4AEyaJxu+iiiyT999vu3E3oe5PYEEAAAQQQQAABBBBAwLkCJEgmj03btm3lxhtvlOLiYr/IzC75kVCAAAIIIIAAAggggICjBEiQTB6OmjVrymOPPRY06uX/GB70GAcQQAABBBBAAAEEEEAgvgIkSPH1p3UEEEAAAQQQQACBCAVcRRGeQHUEIhAgQYoAy4yqrhIzohAjVoH91WONwPlmCFRpYUYUYsQisGGnK5bTOdckARbkMgkyxjBbhJ+HGAk5HYGkEOA9SEkxjFwEAggggAACCCCAAAIImCHADJIZigFirFmzRsrKynyO6PNJbAgggAACCCCAAAIIIOBcARIkC8bm448/lp49e/pFHjRokF8ZBQgggAACCCCAAAIIIOAcARIkC8aioKBAcnNzRWeRvDctm9V4lncR+wgggAACCCCAAAIRCrj836YSYYTwq19++eWyfft2mT17dvgnUTOhBUiQLBq+tLQ0adiwoUXRCYsAAggggAACCCBgpYDL5ZLRo0fL9OnTpXfv3lY2RWyHCZAgmTAgnTt3lt9++80TqbCwUA4cOOD5zA4CCCCAAAIIIIBA4gjoXUBXXHGFfPHFF8Iz5Ikzbmb1lATJBMnFixfL7bffLscee6wRbdGiRfL0008HjJy7L2AxhTYLHDjM5gZpLqBA+d6AxRQikHICLPPtjCHPkzRndIRexF3glltukS1btshnn31m/I4X9w7RAVsFSJBM4j7zzDPljDPOMKLl5eXJM888Y1JkwiCAAAIIIIAAAgjYKXDfffdJu3btJD2dN+LY6e6UtkiQLBoJvc3ukksu8Yl+0kkn+XzmAwIIIIAAAggggEDkAq6iyM+J5IwOHTpEUp26SSZAgmTBgJ5wwgmiK55UfA9SlSpVLGiNkAgggAACCCCAAAIIIGCWAAmSWZJecRo3bhz0Frsbr7zSqya7CCCAAAIIIIAAAggg4CQBEqQIR2PVqlXy5Zdf+pyly0AWF9u4IL9P63xAAAEEEEAAAQQQQAABswRIkCKUHDt2rMyaNUvq1avnOVMTpK1bt3o+V7ZDGlWZjn3HXKwmaB92JS2VV3KMQ/YINGPVLnugQ7RSNcRxDtsjsExc9jREKwgg4GgBEqQIh0eToYEDB8qzzz7rOTMjI0OaNGni+cwOAggggAACCCCAgHUCLv7ibB0ukYUEyYJ/BDt37pTdu3f7Rdblv9kQQAABBBBAAAEEEEDAuQIkSBaMTfv27WXTpk1+kQcNGuRXRgECCCCAAAIIIICAcwXmzZvn3M7RM0sESJAsYN2/f7+xil2vXr18ousM0psHn19iQwABBBBAAAEEEEAAAWcKkCBZNC7169eXFi1aWBSdsAgggAACCCCAAAIIIGCFAAmSCappaWkydOhQyc7ONqLt2bNH1q1bZ0JkQiCAAAIIIIAAAgj4CbBIgx8JBeYJkCCZYDl79mzZsmWLJ9I111wjjRo18nz23sny/sB+3ARKa8etaRr2EkjjB8JLIz67DXemxadhWvURWM/y0j4e8fqQx7L38aKnXQQcJUCCZMJw9OnTxyfKP/7xD89sks8BPiCAAAIIIIAAAggggICjBUiQLBqep59+Wt555x2f6F27dvX5zAcEEEAAAQQQQAABBBBwlgAJkgXjcd1118lPP/0kRUVFPtFLSkp8PvMBAQQQQAABBBBAAAEEnCVAgmTBeNx3331Bo946cmTQYxxAAAEEEEAAAQQQCC3g4m/OoZGoEbVAetRnciICCCCAAAIIIIAAAgggkGQCzCAl2YByOeEJNM4Prx61rBXYb214ooch8AOrp4WhZH2VWtY3QQthCGzh5yEMJaogkPwCzCAl/xhzhQgggAACCCCAAAIIIBCmADNIYUJFUm3nzp1+CzTo+bm5uZGEoS4CCCCAAAIIIIAAAgjYLECCFAH4P//5T1myZEnQl8BqqPz8fGnSpImUlZX5RR40aJBfGQUIIIAAAggggAACEQr4LhQc4clUR6ByARKkyn2Mo5rwnHnmmTJv3jzZtGmT5OTkBD3rwIEDRnL0ySefSOPGjX3q1axZU96bNcunjA8IIIAAAggggAACCCDgHAESpDDGonbt2jJ37lyj5vDhw8XlcoU8q1WrVtKsWbOQ9aiAAAIIIIAAAggggAACzhEgQYpxLPr06SPr1q3zRCkuLjb29+9nfS4PCjsIIIAAAggggAACCCSIAAlSjAP16aefyrBhw6Rdu3ZGpG3btsndd98t1apVCxj5UPoU8BCFNgrssrEtmkLAyQIsL+2M0dnA8tKOGAgea3HEMNAJBOIuQIJkwhDoLFLv3r2NSDqbpAlSWlqaCZEJgQACCCCAAAIIIFBRoEpJxRI+I2CeAAmSeZY+ke666y6pUaOGT1nnzp19PvMBAQQQQAABBBBAAAEEnCVAgmTyeDRs2FAuvfRS0dXs9Mt727WLG7u8PdhHAAEEEEAAAQQQQMBpAiRIJo+ILgH+3HPPBY166403Bj3GAQQQQAABBBBAAAEEEIivQHp8m6d1BBBAAAEEEEAAAQQQQMA5Aswg2TwWpYfZ3CDNBRQo2RewmEKbBdJq29wgzfkJ7Mr3K6IAgZQVqCcssJQog5+VKB2lnwkpwAxSQg4bnUYAAQQQQAABBBBAAAErBJhBMlG1qKhICgoKgkbMzs4OeowDCCCAAAIIIIAAAgggEH8BEiQTx0BfFrtmzZqgEQcNGhT0GAcQQAABBBBAAAEEEEAg/gIkSCaOwe7du+WRRx6RXr16BYxau3Ztee24WQGPUYgAAggggAACCCCAAALxFyBBMnkMWrRoIccdd5zJUQmHAAIIIIAAAggg4Bao4t7hOwIWCLBIgwWohEQAAQQQQAABBBBAAIHEFGAGKYpxmz9/vowcOdI4s7i4WHbu3BlFFE6Jp0CVkni2TttugVyWmHZTxO17UdxapmFvgaosL+3NEbd9llKKGz0NI+AoAUcnSDNnzpQpU6ZYArZ9+3bR5CbSrV+/frJ//37ZunWrcarL5ZLS0lL5/vvvpbCw0PiKNCb1EUAAAQQQQAABBBBAwBkCjk6QPvvsM9myZYsMHDjQdK0ff/xRVq5cGXHc888/X/TLveXm5kq9evXk5ptvln379smmTZuMQ7t27ZKxY8dKSckfUxXHH3+8+zS+I4AAAggggAACCCCAgAMFHJ0gqdexxx4r9913n+l077//vrz55pumxS0vL5ecnBxp1aqVEXPJkiXy8MMPS9++fT1tNGjQwLPPDgIIIIAAAggggEB0AlnRncZZCIQl4PgEKayrcHClt99+26d3tz10q89nPiCAAAIIIIAAAgg4S0DvCnr66afl9ddfl/z8fDn99NPl8ccflzp16jiro/TGEgESJEtYCYoAAggggAACCCCQqAK33XabkRzp3UDZ2dlyzz33SLdu3WThwoXG50S9LvodngAJUnhOptXKZME70yxjCVTCCxRi4TPtXK9H9EyLSaDIBKpGVp3aFgmwmqBFsBGG3R1hfaonp8BXX30lEydONB7F6N+/v3GRXbp0kSOPPFJeffVVufTSS5PzwrkqjwAJkofCnB2dfn3ttdeMxSXMiUgUBBBAAAEEEEAAAbsE/vOf/0jNmjXlnHPO8TR5xBFHSNeuXeWVV14hQfKoJO8OCZKJY3vyySdL69atjYhFRYf+HlhWVuZZyS4zE24TuQmFAAIIIIAAAikqYOWNIMuXL5fDDz9cqlTxbUWTpGXLlqWoeGpdNr+xmzjeJ554ojzwwANGxHnz5sns2bONVe1+/vlno2zw4MEmtkYoBBBAAAEEEEAAAbMFdu/eLXXr1vULW7t2bdm8ebNfOQXJJ0CCZPGY6gtpH330UTn11FON9yW9cfDeVTYEEEAAAQQQQAABZwqkpaX5zR5pT/VOoIKCAmd2ml6ZKkCCZCpn4GBHHXWUcd9q4KOUIoAAAggggAACCDhFoHHjxrJu3Tq/7uzYsUPy8vL8yilIPoH05LskZ13RgQMHZNOmTc7qFL1BAAEEEEAAAQQQCCigCdJvv/3md0zL9DkktuQXYAbJojHu1KmTjBs3Tu68805jJRR3MyXV3Xt8RwCBKiUYIICACrDcujP+HewRlzM6Qi9CClj5M9OrVy958sknjXce6e9zuu3atUv0+fJRo0aF7BsVEl+AGSQTxvDzzz833rKsb112b9WrV5ebb75ZsrKyRPfZEEAAAQQQQAABBJwvoMt7t23bVq688kpZuXKlbNy4US677DJp1qyZ8bud86+AHsYqwAxSjILt2rWTadOmGX9ZaNmyZcBoL7zwgixYsEA6dOgQ8DiFCCCAAAIIIIAAAs4Q0EUa3n77bdHVhzVRysjIkG7duon+PpeTk+OMTtILSwVIkGLk1cRHt549e8pxxx3nF+2iiy4yHvTTetWqVfM7TgECCCCAAAIIIICAswT0WaNvv/1WtmzZIunp6QGX/XZWj+mNmQIkSGZqBog1efJkn9I7H7rT5zMfEEAAAQQQQAABBJwpUL9+fWd2jF5ZKkCCZCkvwRFAAAEEEEAAAQTMFsgyOyDxEPASIEHywrBjt8of6zjY0RxtBBEobRDkAMW2CuwqsrU5GgsgsKeEVbsCsNhe1EzSbG+TBv0FihgHfxRKEEhBAVaxS8FB55IRQAABBBBAAAEEEEAgsAAzSIFdoi51uYL/NVZXRWFDAAEEEEAAAQQQQAAB5wowg2TS2JSVlckjjzxirHSiq50E+hoyZIhJrREGAQQQQAABBBBAAAEErBBgBskk1fLycikuLpbp06dLsPchNWzYUP7zyismtUgYBBBAAAEEEEAgNQWqpuZlc9U2CZAgmQzduXNn0ZfHsiGAAAIIIIAAAggggEDiCXCLXeKNGT1GAAEEEEAAAQQQQAABiwSYQbIINlhY1u0PJmNzeb7N7dFcQIGS6gGLKbRRoKjExsZoKqjABgm+wE/QkzhgugBvHjCdlIAIJKQAM0gmD1tlq9iZ3BThEEAAAQQQQAABBBBAwGQBZpBMAm3evLkRafv27TJhwgTR7xW39u3bVyziMwIIIIAAAggggECEAizSECEY1SMSIEGKiCt45ccff1xmzJgh1atXl5EjR0rHjh2lRo0aPifoSndsCCCAAAIIIIAAAggg4FwBEiSLxuaZZ56RLl26+EUfd++9fmUUIIAAAggggAACCCCAgDMEeAbJGeNALxBAAAEEEEAAAQQQQMABAswg2TwIxTa3R3OBBVg9LbCL3aW5++xukfYqCrBqV0WR+HzmeYr4uFdstZ6kVSziMwIIpKAACZLJgz5mzBgj4r59/OZnMi3hEEAAAQQQQAABQ6AqySz/EiwU4BY7k3Br1aolI0aMkKysQ286YkEGk2AJgwACCCCAAAIIIICAjQLMIJmEnZGRIRMnTpSCggJ59dVX5bzzzpPiYt8b6gYPHmxSa4RBAAEEEEAAAQQQQAABKwRIkKxQPRhTb7F78cUXpW7dup4WGjduLK+88ILnMzsIIIAAAggggAACCCDgLAESJAvHo3v37qJJERsCCCCAAAIIIIAAAggkhgAJkoXjVFTE+lAW8hIaAQQQQAABBFJUgJUfU3TgbbpsEiSToXNycuSWW26RcePGSWamPy/LS5sMHm04ctdo5Uw9z/cpPVNDEwyBhBLIY0UuR4zXHnE5oh90AgEE4ivAKnYW+P/tb38zourCDWwIIIAAAggggAACCCCQOAL+UxyJ03fH91RXtcvLy/P0s23btp59dhBAAAEEEEAAAQQQQMB5AiRIFoxJ/fr1pVu3bvLhhx/6RO/Vq5fPZz4ggAACCCCAAAIIIICAswRIkCwYj5o1a8q8efMCRh7z5JiA5RQigAACCCCAAAIIhCeQHV41aiEQlQDPIEXFxkkIIIAAAggggAACCCCQjALMINk8qkfss7lBmgso8FP1gMUU2iyQVWJzgzTnJzBY+DuZH0ocCjqwil0c1P2bXM0qdv4olCCQggL8P2MKDjqXjAACCCCAAAIIIIAAAoEFSJACu1CKAAIIIIAAAggggAACKSjALXZRDPrnn38u/fv3l/Ly8ojOHjhwYET1qYwAAggggAACCCDgL8AiDf4mlJgnQIIUheWmTZuMs2bMmBHR2U2bNpV506dHdA6VEUAAAQQQQAABBJwlsGzZMjnttNPko48+ks6dOzurc/QmZgESpCgJq1ataswiRXk6pyGAAAIIIIAAAggkoMD69evl3HPPlV27donL5UrAK6DLoQRIkLyE7rnnHvn++++9SgLvbty4Ufbu3Rv4IKUIIIAAAggggAACSSegj1aMHz9e7rjjDsnO5ia/pBtgrwsiQfLCeP7556V169bStm1br1L/3cLCQsnIyPA/QEnCCBzNcusJM1Z01FqBHdaGJ3qYAt+zvHSYUtZWa8Jy69YCJ3j0pUuXys033yzXXHON9OrVS84555wEvyK6H0yABKmCzMUXXyzDhg2rUOr78eWXX5bFixf7FvIJAQQQQAABBBBAwBaBqra04tvI4YcfLmvWrJFmzZrJf//7X9+DfEoqARKkKIfzwIED8tRTT0V0dps2bSKqT2UEEEAAAQQQQAABZwjUrl1b9Ist+QVIkKIYY70N74gjjpApU6ZEdPbZZ58dUX0qI4AAAggggAACCNgrUPE586ysLNHFudhSR4AEKYqx7tSpk3z33XdRnCny+rhxUZ3HSQgggAACCCCAAALWC9SrV0+Kioo8Dd1+++3y0EMPeT6zk/wCJEjJP8ZcIQIIIIAAAggggECYAk888YSUlZV5ausfxtlSS4AEyebxXneYzQ3SXEABV0nAYgoRSDmBifvSU+6anXjBU+WPX8ac2D/6hIDTBHIs7NCIESMsjE7oRBDg/xkTYZToIwIIIIAAAggggAACCNgikNIzSHp/qa5j7942b94sGzZscH/kOwIIIIAAAggggAACCKSYQMomSF26dJE777zT5x7Tr7/+WqpXr+75J7Bt2zbp3LmzFBQUeMpi2RkwYEAsp3MuAggggAACCCCAgAMEevToIS6XywE9oQtWCKRsglSnTh25//77fUxfeukln/Xtd+zYIT///LNMmjRJDjss9oeHWrRoIVNmTfZpkw8IIIAAAggggAACCCDgHIGUTZAiGYL+/ftLo0aNIjmFuggggAACCCCAAAIWCWRLmkWRCYuACIs08K8AAQQQQAABBBBAAAEEEPhdgBkkm/8S+nMSAABAAElEQVQppP3xiJPNLdOcj8A+n098iJNA5s44NUyzHgGWl/ZQxHXnMP4aHld/GkcAAQS8BZhB8tZgHwEEEEAAAQQQQAABBFJagBkkk4f/zTfflK1btwaMeuSRRwYspxABBBBAAAEEEEAAAQScIUCCZPI4nH/++dKkSRPJyfF/x3Pfvn1Nbo1wCCCAAAIIIIBA6gn4/5aVegZcsXUCJEgVbMeMGSNTp041St3vPyosLKxQK/BHXQ9fv1544QU5/fTTA1Z68rXHA5ZTiAACCCCAAAIIIIAAAvEXIEHyGoNx48bJqlWrPCX6othFixZJVlaWp6ziTnl5uaxfv95IjHhhWEUdPiOAAAIIIIAAAgggkFgCJEhe43XBBRd4fRJZvXq1PPHEE5KeHnwti+eff16GDx/uc56+XJbN4QLBc16Hdzy5ulca+/uXkwskDlezgZUE46Du32Rj/yJKEEAAAQTiJBD8N/84dSjRmj1w4IC0bt1afvnlF9mwYYPR/ebNmyfaZdBfBBBAAAEEEEAAAQQQOCjADJIJ/wwyMzOladOmxm12JoQjBAIIIIAAAggggEAlAizSUAkOh2IWIEGKmfCPAGlpaaJfgwcPluzs7D8O/L7Xr18/vzIKEEAAAQQQQAABBBBAwDkCPgnSypUr5ayzzpKSkhJH9HD37t1yxBFHOKIv4Xbivffeky1btgSsrtcy8a2nAx6jEAEEEEAAAQQQQAABBOIv4JMg/fbbb7Jx40Z56aWX4t+zgz2YNm2aVKlSxRF9CbcTZ599drhVqYcAAggggAACCCCAAAIOE/BJkLRveovYkCFDHNHNefPmyY4dO+LelxtuuCHgi1+1Yz/88IMj+hh3JDqAAAIIIIAAAggggEASCPglSElwTaZdwuGHHy5XXXWV6Ep1Zm0Zdc2KRJxYBMq2xXI255olUB7/v3+YdSkJG6dZwvY8uTreTtKS64IS9GpY9T5xBs7/Se/E6Ts9db4ACVIlY5STkyMTJkyopIYYx8ePH19pHQ4igAACCCCAAAIIIIBAYgiQIJk0TmVlZfLaa69JUVFR0IiJtuBE0AvhAAIIIIAAAggggAACSSpAgmTSwC5fvtx4dkvfh5SeHvj9uyzzbRI2YRBAAAEEEEAAAQQQsEiABMkk2PLyciPSsmXLpGbNmkGjTj6BZb6D4nAAAQQQQAABBBBAAIE4C5AgmTAApaWlkp+fb0IkQiCAAAIIIIAAAgiEEqjGwiahiDgeg0Dge8FiCJhqp1arVk1+/PFHcb//SJMlNgQQQAABBBBAAAEEEEhMAWaQYhy3Sy+9VLp16yb6DFL//v0lM7Ny0tL1MTbI6eYIZJkThigIJLpA8GVlEv3KEqv/dflruCMGbJkcul3eEZ2hEwggEDeByn+bj1u3EqdhXZBBV6fbs2dP4nSaniKAAAIIIIAAAggggEBAARKkgCyRF6alHXrJX6dOnYKuYte3b9/IA3MGAggggAACCCCAAAII2CZAgmQS9bHHHivPPfdcpe9BOvLII+WJZx83qUXCIIAAAggggAACqSmQk5qXzVXbJECCZBK0PnukzyOxIYAAAggggAACCCCAQOIKsIpd4o4dPUcAAQQQQAABBBBAAAGTBZhBMhk0VDhXSagaHLdFYJ8trdBIKIGqoSpw3GqBr0pcVjdB/DAEPhNeEREGk+VVqlveAg2EI/BIOJWog4CFAswgWYhLaAQQQAABBBBAAAEEEEgsAWaQLB6v/Px8+eyzz8TlckmLFi0sbo3wCCCAAAIIIIBA8gtkJ/8lcoVxFCBBshh/4sSJ8uCDD8phhx0mAwYMsLg1wiOAAAIIIIAAAggggEAsAtxiF4teGOeWl5fLaaedJjqT9Mwzz4RxBlUQQAABBBBAAAEEnCagv9NNmjRJjj/+eKlVq5a0adNGbr75Ztm7d6/Tukp/YhRgBilMwNLSUtm1a1eYtf+oduDAAdEfKDYEEEAAAQQQQACBxBUYPXq03H///TJo0CC544475KuvvpKpU6fKd999Jx999JGkpaUl7sXRcx8BEiQfjuAfRo4cKZMnTw5eoZIj9evXr+QohxBAAAEEEEAAAQScLFBSUiJjx46V3r17y8yZM42uaqKkv+P93//9n3zzzTfSpUsXJ18CfYtAgAQpTKzdu3fL4MGD5e677w7zjEPVnnrqKVmxYsUf5xT9scseAgggEG8BVlqP9wgcap83QDhjHLKc0Q16EYZAbhh1zKyyZ88eufrqq6Vv374+YU8++WTj86ZNm3zK+ZDYAiRIYY6fTpvq/abHHntsmGccqqZ/Wfjxxx8jOofKCCCAAAIIIIAAAs4RqFOnjowbN86vQy+99JJxa90JJ5zgd4yCxBUgQbJ47DSxWrBggXTo0EHOPvtsi1sjPAIIIIAAAggggIAdAvoal2effVauueYaad68uR1N0oZNAiRIFkMPGzZM6tata7Siq52Me8L/rw8Wd4HwCCCAAAIIIIAAAmEKVFyVLisrS6pW9b0h+ZNPPpHzzjvPeO7o4YcfDjMy1RJFgATJ4pFq2bKlXHvttRa3QngEEEAAAQQQQAABMwTq1asnRUV/PDR+++23y0MPPeQJ/eKLL8rw4cPlz3/+s7z66qtSrVo1zzF2kkOABCk5xpGrQAABBBBAAAEEUkYgR6xbUvuJJ56QsrIyj2WnTp08+xMmTDBuqbvyyitl/PjxkpnJr9IenCTaYVR/H8xLLrlEfvnll6BDu3LlSmnXrl3Q4+EeSKsdbk3qIZD8AmksGRX3Qd63L+5doAMHBfaj4AiBnY7oBZ2It8CIESMCdmHatGmir33R9yHdeeedAetQmBwCJEi/j6NOkeoy3q1atQo4stu3b5eaNWsGPEYhAggggAACCCCAQPIK5Ofny0033SRHHHGE6Ip2kyZN8rnY7t27y9FHH+1TxofEFSBB8ho7nUXq1auXV8kfu6tWrQqYIJWWlsqcOXNEv4famjZtGqoKxxFAAAEEEEAAAQQcJvCf//xH9J2Y+nXVVVf59W7q1KkkSH4qiVtAghTj2P3vf/+TPn36SF5eXshIAwcODFmHCggggAACCCCAAALOEtCkKFBi5Kxe0huzBEiQYpTUh/gyMjKMvyiEE+rZhtPDqUYdBBBAAAEEEEAAgSACrBsXBIZiUwTSTYlCEAQQQAABBBBAAAEEEEAgCQRIkJJgELkEBBBAAAEEEEAAAQQQMEeAW+zCdHS5XLJ8+XJ5+umnfc7QxRv0WLhbRp1wa1LPSoHyvVZGJ3a4AlVYtyRcKsvqVQ/+dgPL2iSwvwDLS/ubxKOkfjwapU0EEHCcAAlSmEPSuXNnWbZsmUycONHnjH0HXyJSXl7uU8YHBBBAAAEEEEAAAQQQSEwBEqQwx+3mm28W/aq4ffzxx3LWWWd5ip9//nnjzcqeAq+dYEuIe1VhFwEEEEAAAQQQQCCEQHdXSYgaHEYgegESpOjtAp65YMECKSoqkqFDh/odb9u2rcgbfsUUIIAAAggggAACCCCAgEMESJAsGIg2bdrILbfcEjjyrYGLKUUAAQQQQAABBBBAAIH4C5AgmTAG+gzS7bffbkT66quvpEaNGiZEJQQCCCCAAAIIIIAAAgjYLUCCFKP4UUcdJX369JElS5YYkbZt22a8ODZY2LSqwY5QbqdAFksV2ckdtK2y3UEPccAmgX02tUMzlQuUVKn8OEdtEuCxFpugaQYBZwskfIJ04MAB+b//+z8pLCyMSbq0tFR27doVcYzDDz9c3n77bc95I0eOlK1bt3o+s4MAAggggAACCCCAAAKJI5DwCdJPP/0k//rXv+T888+XqlVjm54pKyszZeQ2b94sc+bM8YvVuHFjvzIKEEAAAQQQQAABBBBAwDkCCZ8gpaWlGZrPPPOM1K1bN2rZ119/XerUif0trk2bNpWpU6dKv379/PoyePBgvzIKEEAAAQQQQAABBBBAwDkC6c7pSnL0RG/302W+A33NmDEjOS6Sq0AAAQQQQAABBBBAIEkFSJCSdGC5LAQQQAABBBBAAAEEEIhcgAQpcjPOQAABBBBAAAEEEEAAgSQVSPhnkBJtXKo0P/TMVKL1O9n6W77LlWyXlJDXk3MiPw/xHrgqi/lZiPcYGO3HtsaQIy4hGTpRwjLfyTCMXAMCMQswgxQzIQEQQAABBBBAAAEEEEAgWQSYQQoxkvoC2Ouuu05crtj/ynrmmWeGaI3DCCCAAAIIIIAAAgggEE8BEqQQ+suXL5fFixfLLbfcEqJm6MPt27cX+S50PWoggAACCCCAAAIIIIBAfARIkMJwr1Gjhtx1111h1AyjynNh1KEKAggggAACCCCAAAIIxEWAZ5Diwk6jCCCAAAIIIIAAAggg4EQBZpBsHpXChbE/y2Rzl5OyuaxWSXlZCXdRRd/x8xDvQcuOdwdo3xBosg8IJwgcI6ys6YRxoA8IxFuAGaR4jwDtI4AAAggggAACCCCAgGMEmEHyGorXX39dli5d6lUismjRIikoKPAp0w+lpaUyf/58KSsr8zsWrKBhw4bBDlGOAAIIIIAAAggggAACDhAgQfp9EM455xxZuHCh8eU9Ljt27JDCwkLvImP/3XfflQEDBviVV1Zw4YUXVnaYYwgggAACCCCAAAIIIBBnARKk3wfgzTffDDgUL730UsAlvksOvm67bt26snXr1oDnBSuc1eyVYIcoRwABBBBAAAEEEEAAgTgL8AxSnAeA5hFAAAEEEEAAAQQQQMA5AiRIzhkLeoIAAggggAACCCCAAAJxFuAWO5sHoGpblhC1mTxgc8VrWV46IIzNhek1bG6Q5vwEOrCssZ9JPAo2Cv9Niod7xTa3Mg4VSfiMQEoKkCCFMey6Yt3atWt9am7evFnKy8t9yviAAAIIIIAAAggggAACiS1AghRi/HJzc2XLli1y5JFH+tXMyMgwylasWCE33nhjyISpR48efjEoQAABBBBAAAEEEEAAAecIkCCFGItzzz1XNm3a5Jf86DLfd9xxh3G2vjvpiy++kBtuuKHSaEaS9VmlVTiIAAIIIIAAAggggAACcRQgQQoDv3Hjxn616tSpI+npf6xxUb16dRk9erRfvYoFw/49pGIRnxFAAAEEEEAAAQQQQMAhAn/8hu+QDtENBBBAAAEEEEAAAQQQQCBeAswg2SyfcZjNDdIcAg4WSM92cOdSpGvfs2qXI0a6kSN6QSeKIEAAAQQOCjCDFMM/A5fLJUVFRVJSUiK6z4YAAggggAACCCCAAAKJLcAMUpTjl5WVJdu3b5fs7EN/AtcV7RYsWFBptHr16lV6nIMIIIAAAggggAACCCAQXwESpCj9+/TpI19//bWUlZXJ3Llz5Z577pETTzyx0miDBw9mzq5SIQ4igAACCCCAAAIIIBBfARKkKP11xuhPf/qTcfbPP/8saWlpMmnSJLnsssuCRszMzJTDLpkV9DgHEEAAAQQQQAABBBBAIL4Cjk+Q9Pme3bt3B1Xau3dv0GN2H6hSpYrnlju726Y9BBBAAAEEEEAAAQQQiF3A0QlS1apV5Y033jC+Ql2qLpbAhgACCCCAAAIIIIAAAgjEIuDoBElfvDps2LBKr2/t2rVywQUXiCZT8dx0FbvCwsKQXSj5mdXuQiLZUKF8uw2N0ERoAdYtCW1kcY3qFscnPAKJJNBU0hKpu/QVAQQsEnB0glS9enXp2LFjpZeut7XFe2va9OB/Ug8+g7Ru3bp4d4X2EUAAAQQQQAABBBBAIAYBRydIMVyXraeecsop0rx5c2ndurVcfPHFEuy5qG7dutnaLxpDAAEEEEAAAQQQQACByARIkCLzqrT2/v37ZebMmTJ8+HCpXbu2X93GjRv7lVGAAAIIIIAAAggggAACzhEgQbJgLG677TZp06ZNwMh/fXpowHIKEUAAAQQQQAABBBBAIP4C6fHvQvL04NNPPzUuRl8ey4YAAggggAACCCCAAAKJJ8AMkkljdsYZZ8j8+fONaHqrXbAtowEr5ASzsbM8YzerCdrpHaytKs35eQhmY1d51lf8LNhlXVk78V2HtbKecQwBBBBIPQESJJPGfMqUKbJ582Zp1KiR5OXlmRSVMAgggAACCCCAAAIIIGCnAAmSBdo//PBDwHciBVq4wYLmCYkAAggggAACCCCAAAJRCpAgRQkX6LScnBzJysqSAQMGBDosgwYNClhOIQIIIIAAAggggAACCDhDgATJxHGoWbOm7Ny5U4qLiwNGzc7OljoXvRbwGIUIIIAAAggggAACCCAQfwESJJPHoFq1aqJfbAgggAACCCCAAAIIIJB4AizznXhjRo8RQAABBBBAAAEEEEDAIgFmkCyCDRbWVRDsCOV2CuR0YXlpO72DtXXgfywxHczGrvIjhZ8Fu6wra+cmyajsMMdsEnhdym1qiWYQQMDJAswgOXl06BsCCCCAAAIIIIAAAgjYKsAMUoTcq1evlrvuukvKyyP/K9Mpp5wSYWtURwABBBBAAAEEEEAAATsFSJAi1F64cKG88847Mnz48AjPFKlVq1bE53ACAggggAACCCCAAAII2CdAghSFtS7nPX78+CjOFLn65cujOo+TEEAAAQQQQAABBBBAwHqBlEyQdu3aJa+88kpUt8l98803UlhYaP3I0AICCCCAAAIIIIAAAgjYLpCSCdKcOXNk5MiRctRRR0UMvnv3bikoiH4pusLvWLUrYnQLTsjcYkFQQkYsUL434lM4wWSBk1nFzmRRwiWyQE4id56+I4CAaQIpmSC5XC6pW7eurFixImLImTNnyk033RTxeZyAAAIIIIAAAggggAACzhdIyQQp1mEpLS2VVatWRRxGn11iQwABBBBAAAEEEEAAAecKkCBFODY1atSQrVu3ytFHHx3hmSKDBg2K+BxOQAABBBBAAAEEEEAAAfsESJAitO7bt6/k5+dHtcBDbm6uvNZ6VoQtUh0BBBBAAAEEEEAAAQTsEiBBikK6fv36UZzFKQgggAACCCCAAAIIIOB0gXSnd5D+IYAAAggggAACCCCAAAJ2CTCDZJf07+0cdgs5qc3kAZsr+Ijl1gPC2FyYc6LNDdKcn8DTE8v9yiiwX4C369lvHqjFlcL/NwRyoQyBVBPgt/VUG3GuFwEEEEAAAQQQQAABBIIKpPQM0r333itr164NimP2gZNOOsnskMRDAAEEEEAAAQQQQAABEwUSPkHSl77q9uCDD0pOTnjvwNYXxBYUFMj48eOlY8eO0qJFCyOG1f9TpUoVkQKrWyE+AggggAACCCCAAAIIRCuQ8AlS06ZNpV+/frJs2bKwDTZv3iwlJSWiCctVV10lAwcODPvcWCve/s8RsYbgfAQQQAABBBBAAAEEELBIIOETpFq1aslbb70VEc8rr7wi119/vZSWlkZ0HpURQAABBBBAAAEEEEAguQUSPkFKtOHZOYYVo5wwZjmnpzmhG/QBgbgLnCP8LMR9EA52INsJnaAPCCCAAAKGAKvY8Q8BAQQQQAABBBBAAAEEEPhdgBmkKP8pbNu2Tfbt2xfR2Xl5eRHVpzICCCCAAAIIIIAAAgjYK0CCFIW3LvDQpEkTKS4ujujsQYMGRVSfyggggAACCCCAAAIIIGCvAAlSFN66uIMmR2+++aYcd9xxYUfQGaTXjpwVdn0qIoAAAggggAACCCCAgL0CJEgxeDdq1Mi2dyjF0E1ORQABBBBAAAEEEEAAgTAFWKQhTCiqIYAAAggggAACCCCAQPILMINUyRgvXbpUdu3a5VejqKjIryzcgoxG4daknpUCxatdVoYndpgCGbVYYjpMKsuqFVgWmcCRCCwX/psUiZdVdQutCkxcBBBIKIGUTZB2794tLpdLtm7dGnDA9Bmjjh07Snl58PcW/frrrwHPpRABBBBAAAEEEEAAAQQSUyAlE6QuXbrIxRdfLC+++GLQUSsrKzOSo6+++kq0vvdWUFAg1atXl8aNG3uK//vf/1YaTyt27drVU58dBBBAAAEEEEAAAQQQcJ5ASj6D1LJlS5k2bZqR5NSrV6/SUUlPT5dAXxVP0hXt5syZI3r7XbAvXR6cDQEEEEAAAQQQQAABBJwrkJIzSFYNR6dOnWTGjBmVhr/+6ZGVHucgAggggAACCCCAAAIIxE+ABCkG+w8//FDWrFljRFi1apXo+5HYEEAAAQQQQAABBBBAIHEFSJCiGLusrCxp166dTJo0yXO2LvrQpEkTz+dgOxk1gx2h3E6B0sBrc9jZBdo6KFCynpW74v0PYYOwkmC8x0Db78E4OGEYZAOrCTpiHOgEAvEWIEGKYgQyMjJElwD33q6//nrZsGGDdxH7CCCAAAIIIIAAAgggkGACJEgmDpguzrB58+agEXNzc4Me4wACCCCAAAIIIIAAAgjEX4AEyaQxyMnJkffff18aNQr+JthBgwaZ1BphEEAAAQQQQAABBBBAwAoBEiSTVO+9914ZPnx4pdFq1qwpb50/q9I6HEQAAQQQQAABBBBAAIH4CZAgmWSfnZ0tbdq0MSkaYRBAAAEEEEAAAQQQQCAeAin5oth4QNMmAggggAACCCCAAAIIOF8g5WeQJkyYIO+9957fSLnfabR3716/Y7EUsLx0LHrmnZuWZV4sIkUv4CqK/lzONEegmTlhiBKjwAdSHmMETjdD4Gzh78ZmOBIDgUQXSOkE6brrrjNe9FpSUuI3ju4EyeXiPS1+OBQggAACCCCAAAIIIJCkAimdIN19991Bh7WgoEBmzpwpeXl5Qeu4D6xatUrGjx8voZKpzp07u0/hOwIIIIAAAggggAACCDhQIKUTJLPG45NPPpHnnntOzjrrrEpD7tq1q9LjHEQAAQQQQAABBBBAAIH4CpAgmeTftGlTmTUr9BLeNz99o0ktEgYBBBBAAAEEEEAAAQTMFiBBClN0/fr1smjRooC1Fy9eLIWFhQGPUYgAAggggAACCCCAAAKJI0CCFOZYjRo1Sl577TXJzc31O0OTo4yMDL9yCpwrULrBuX1LpZ5l8lhe3Ie7laTFvQ90QCQfBEcIrBUWZnLEQNAJBOIswHqWYQ5AeXm5XHbZZbJ9+3a/r0cffVT0Fjs2BBBAAAEEEEAAAQQQSGwBZpBMGr+ysjIJtQhDdna2Sa0RBgEEEEAAAQQQQAABBKwQIEEyQbVq1aqyevVqOeywwyqNNmjQoEqPcxABBBBAAAEEEEAAAQTiK0CCZIL/pZdeKvqOo1DvQapdu7b854zQK92Z0CVCIIAAAggggAACCCCAQBQCJEhRoFU8JTMzUzp06FCxmM8IIIAAAggggAACCCCQYAIs0pBgA0Z3EUAAAQQQQAABBBBAwDoBZpCC2Kanp0taWpqceOKJRg29fU5vo4t1K98eawTON0Mg5xSWNjbDMdYYRStYUjdWw1jP3xFrAM5HIIkEipLoWrgUBBCIXoAEKYidLrywcOFCz8p0o0ePZinvIFYUI4AAAggggAACCCCQLAIkSJWM5PHHH+85OmXKFHEv062zSWPGjPEkT55KIXa844WoymEEEEAAAQQQQAABBBCIgwAJUhToe/fulbvuuktOO+00qVmzZtgRGjRoEHZdKiKAAAIIIIAAAggggID9AiRIMZg/+eSTEums0G0P3RpDi5yKAAIIIIAAAggggAACVgqwip2VusRGAAEEEEAAAQQQQACBhBJgBsnm4XKV2NwgzQUUKF7L6mkBYWwuTK9hc4M05yfwg/Cz4IcSh4KtjEMc1P2b/Mm/iBIEEEhBARKkCAZ97ty5cuGFF0pJyaEsR59FYkMAAQQQQAABBBBAAIHkESBBCnMshw4dKrVq1TJqFxcXG98zMjICnl1YWBiwPDMT7oAwFCKAAAIIIIAAAggg4BABfmMPcyB69+4t+qXbnj17ZNq0aVKtWjW/sydMmCAjR470K9eCwYMHByynEAEEEEAAAQQQQAABBJwhQIJk8jhs375dOnbsKJMmTfKLXK9ePXn1vVf9yilAAAEEEEAAAQQQQAABZwiQIFkwDjVq1JCuXbtaEJmQCCCAAAIIIIAAAgggYKUACVIMusOGDZPc3FyfCBs3bpS0tDSfMj4ggAACCCCAAAIIIIBAYgiQIEUxTnl5eTJx4kTZuXOn39mffPKJbN682a/cXZDmm0+5i/lus0BmPZsbpLmAAqVbAxZTaKPAoaVnbGyQpgIKsLx0QBbbC+va3iINIoCAEwVIkKIclREjRgQ8s7S0VD766KOAxyhEAAEEEEAAAQQQQAABZwuQIFkwPuvXr5dRo0b5Re7QoYNfGQUIIIAAAggggAACCCDgHAESJJPH4qSTTpLPP/9cFixY4Bc50LLgfpUoQAABBBBAAAEEEEAAgbgJpLkObu7W9fmZP//5z1JWVuYu4rvJAukNWcDBZNKowmUdEdVpnGSyAM8gmQwaRbjz1vDfpCjYTD9lkXj+r9j02AQMX4BnkMK3srLmgj9+NbWyGWIjEFQgPegRDiCAAAIIIIAAAggggAACKSbALXY2D/jAfP5aazN5wOaq5gcsptBmgVbCz4PN5H7NjTuLmQs/lDgUpOXwsxAHdr8mC2/P8CujAAEEUk+AGaTUG3OuGAEEEEAAAQQQQAABBIIIMIMUBCbcYq9HuEKewgtkQxJRAQEEEEAAAQQQQACBuAowgxQD/1lnnSXp6elhfw0ZMiSG1jgVAQQQQAABBBBAAAEErBZgBikG4fz8fLnmmmvkggsuCCtKw4YNZdQrr4ZVl0oIIIAAAggggAACCCBgvwAJUozmrVq1ktNPPz3GKJyOAAIIIIAAAggggAACThBI+QTp0UcflXfffTeqsVizZo389NNPUZ3LSQgggAACCCCAAAIIIOA8gZRPkD788EPjxbhnnHFGxKOzcuVKycvLi+g8VpeOiMuyym0si0zgSAR+5eWYkXBZUrd4Lct8WwIbYdDcP7PMd4RkllQv/P/27gXKrrI+FPg3M0km74Q8SAwDCSGYJlyovCIaG0AgPFbApJDQ3iKL4uVia6HlumpBFKNisWKXsFpFCJaKAiKKIJUCqUIsAaKGly8kIo8khDxIQl6TMJOZyx46w5yZM2fOmbP3Pvtkfmetcfb+Hv9vn98/I/lnn/n2oy2JxBW0RIH3ljjecAIxC/T7Ainy/JM/+ZOwePHikmnvueeeMG6c526XDGcCAQIECBAgQIAAgYwKKJDKTMxDDz0Utm/fXlSUww8/vKhxBhEgQIAAAQIECBAgUBkBBVIZ7qeffnpYvnx5WLp0aVFRWlrcui8KyiACBAgQIECAAAECFRJQIJUBf80115Q8+8eLP1vyHBMIECBAgAABAgQIEEhHwINi03G2CgECBAgQIECAAAECVSCQuTtI69atC9HmB62t6eystHr16vDud787tVSttWtXataFFvrvgYV69aUlMLoprZWs05OA3dN6kkm3vckTI9IF72G1QX5VuAcZzQT6l0DmCqTvfve74fLLLw9Tp05NJRNr1qwJr776aiprWYQAAQIECBAgQIAAgWwLZK5Aiu4c/dEf/VF46qmnUpE75ZRTwsyZM1NZyyIECBAgQIAAAQIECGRbIHMFUqW5ojtKhx12WNi9e3fsl7Jo0aLYYwpIgAABAgQIECBAgEB8AgqkLpZbtmwJ27ZtC3fddVcYOXJkl97yTidNmhQ+9O1vlxfEbAIECBAgQIAAAQIEEhNQIPVA+8EPfjCMGTOmh17NBAgQIECAAAECBAjsiwK2+d4Xs+o9ESBAgAABAgQIECDQJwF3kN5i27VrV9iwYUMb4Ouvv94nyGInzQw1xQ41LkGBPU3pbCOf4FvYJ0If6eeh4nlc+rSfhYon4a0LGDjZfxuykIcd323JwmW4hr9CQKCyAv3+DtKQIUPCddddFyZMmND2deKJJ7Zl5M0336xsZqxOgAABAgQIECBAgEDqAv3+DtK3vvWtnOcgPf/882H+/Plh0KBBvSajsbEx3HTTTaHYYsp24r2SGkCAAAECBAgQIECgogL9vkAaNWpUiL7aX83Nze2HvX5/+umnw9/93d+Fo48+OtTW9n4zbu7cub3GNIAAAQIECBAgQIAAgcoJ9PsCKQ76xx57rKg7TtFaZ37hH+NYUgwCBAgQIECAAAECBBIQUCD1gBrdHep8ZynfsOeeey5fszYCBAgQIECAAAECBKpUQIHUJXEjRowIdXV14aSTTurSE8/p7njCiFKmwLgy55sej8DEeMKIUobAoOl2TyuDL7apA/+XPMSGWU6gX5Qz2VwCBPYVAQVSl0xOmTIl7NixIxTzu0grVqwIJ598cpcITgkQIECAAAECBAgQqFYBBVKezA0ePDhPa/emoUOHdm/UQoAAAQIECBAgQIBA1QookMpIXfRRvOg1fvz4oqKcffbZRY0ziAABAgQIECBAgACByggokMpwP+aYY8L9998fmpqaiorS0NAQ/uGWfy9qrEEECBAgQIAAAQIECKQvoEAqwzx69tHpp59eRgRTCRAgQIAAAQIECBDIkkDvTzfN0tW6FgIECBAgQIAAAQIECCQo4A5Sgrj5Qq8JrfmataUsUJ/yepbLL/Csn4f8MCm2br8txcUs1aNAzXD/begRJ8WOoVtSXMxSPQvc0XOXHgJpCLiDlIayNQgQIECAAAECBAgQqAoBd5ASTNPq1avDvffeG1pb3/6XwenTpye4mtAECBAgQIAAAQIECJQroEAqV7DA/DvuuCMsXrw4TJs2rW3UaaedVmC0LgIECBAgQIAAAQIEKi2gQEo4A4cffnhYsWJFxyr3XXttx7EDAgQIECBAgAABAgSyJaBAiikf0cfptm3blhPttddeC83NzTltTggQIECAAAECBAgQyK6AAimG3EQPip06dWreYmj06NE5K9g9LYejYifyUDF6CxMgkEdggN3T8qhoIkCAQGUE7GIXg3t0lyj6euCBB8LGjRs7vq666qqO3z+KYRkhCBAgQIAAAQIECBBIWMAdpBiAa2pq2qJEd4vGjRvXEXHYsGGhtlYN2gHigAABAgQIECBAgEDGBRRICSYoKo6efPLJMGHChLZV5s+fn+BqQhMgQIAAAQIECBAgUK6AAqlcwQLz//Iv/zJMnjy54zlIU6ZMCStuuqnADF0ECBAgQIAAAQIECFRSQIGUoP7YsWPDwoULE1xBaAIECBAgQIAAAQIE4hTwCzJxaopFgAABAgQIECBAgEBVC7iDVGL67r333nDFFVd0fGwumt7S0tIWZcOGDb1GOzS8vaFDrwMNSFRgVWhNNL7gxQmM9/NQHFSSo+r9LCTJW2zs5uHFjjQuSYGmHUlGF5sAgWoRUCCVmKnf/OY3Yffu3eETn/hEx8zoOUiXXnpp2G+//TraHBAgQIAAAQIECBAgUH0CCqQ+5GzixInhox/9aMfMqGCKCqQf/ehH4be//W1He9eDadOmdW1yToAAAQIECBAgQIBAhgQUSDEm4/rrrw8NDQ09Rpw3b16PfToIECBAgAABAgQIEKi8gAIpxhzMmjUrPPLIIwUjLvzKdQX7dRIgQIAAAQIECBAgUDkBu9hVzt7KBAgQIECAAAECBAhkTMAdpJQTsjXl9SyXX8Bugvld0m7dnfaC1ususKd7k5b0BQbYPS19dCsSIECgBwF3kHqAKaW5tfXtbXJ37PBfuFLcjCVAgAABAgQIECCQNQEFUgwZGTx4cIh2qGtubo4hmhAECBAgQIAAAQIECFRKwEfsYpCvqakJZ5xxRli9enVbtC9+8Yvhhhtu6Bb5zDPP7NamgQABAgQIECBAgACB7AgokBLIxa9//eswZcqU8JGPfCQn+tSpU8Nnv/q1nDYnBAgQIECAAAECBAhkR0CBlFAuDj300HD++ecnFF1YAgQIECBAgAABAgSSEPA7SDGqrly5MlxwwQXhscce6/i4XYzhhSJAgAABAgQIECBAIGEBd5BiAj7rrLPCtm3bQvuOdjGFFSYhgfUJxRW2NIEJpQ03OgGB0U0JBBWyZAFpKJnMBAIECCQmoECKifakk04K0Vf0+vCHPxzq6+tjiiwMAQIECBAgQIAAAQJpCSiQEpJetWpVuPXWW3OiR5s0eBEgQIAAAQIECBAgkF0BBVICuTnssMPCT3/60/DpT386J7ptvnM4nBAgQIAAAQIECBDInIACKYGUXH755SH6yvc6xTbf+Vi0ESBAgAABAgQIEMiEgF3sMpEGF0GAAAECBAgQIECAQBYEFEhZyIJrIECAAAECBAgQIEAgEwI+YpdyGkanvJ7lCGRZYGuWL66fXNugfvI+s/42h2X9AvvJ9a0d2E/eqLdJgEBBAQXSWzw333xz2Lx5c0Go9s5ly5aFrVv9ta7dw3cCBAgQIECAAAEC+5JAvy+QGhsbw0UXXRRmzpwZhg8f3mtuX3311YIPg/3zP//zsHLlyrxx5s2bl7ddIwECBAgQIECAAAEC2RDo9wVSexpuueWWMGvWrPbTHr9fc8014b777uux/4knngjHH398mD17drcx06ZNC1/7ynXd2jUQIECAAAECBAgQIJANAQVSAnk44YQTwgUXXJA38tfytmokQIAAAQIECBAgQCALAnaxy0IWXAMBAgQIECBAgAABApkQcAcp5TTY3iFl8B6WG91Du+Z0BeQhXe98q9m0K59K+m1N6S9pxTwCB0hEHhVNBPqfgAIpppy/+OKLoampqe2rtbU1pqjCECBAgAABAgQIECCQpoACKQbtp556Khx11FEdkZ555plwzz33hDfffLOjLTqYMmVKzrkTAgQIECBAgAABAgSyJaBAiiEf0Vbh0evll18OH/jAB8Lo0aPDggULwvjx40NNTU3HCvPnz+84dkCAAAECBAgQIECAQPYEFEgx5uRd73pXqKurCy0tLW1Ro4/dDRuW+3z0U25aEuOKQhEgQIAAAQIECBAgEKeAXezi1BSLAAECBAgQIECAAIGqFlAgVXX6XDwBAgQIECBAgAABAnEK+IhdnJr/E+vxxx9PIKqQcQrYbj1OTbGqWaC+mi9+H7p2u0tnI5nykI08uAoClRZwBynmDJx88slhzZo1bVHbfxcp5iWEI0CAAAECBAgQIEAgIQF3kGKGXbJkSfj5z38eZs2aFW688cZw6623dqxw2mmndRw7IECAAAECBAgQIEAgewIKpARz8uSTT4ahQ4eGv/iLv2hbZfr06eGpa7+c4IpCEyBAgAABAgQIECBQjoACqRy9XuZGz0CaMWNGuOSSSzpGXttx5IAAAQIECBAgQIAAgawJ+B2kBDOycuXKsG7dugRXEJoAAQIECBAgQIAAgTgFut1BijYWWLBgQZxrlBTr97//fXj99ddLmpO1wVOnTg2LFi0K0W52e/bsydrluZ63BGTFHwMCbwvsAJEJgeGZuAoX4efBnwECBCKBnALpPe95T/j4xz8empubK6azefPmsG3btoqtH8fCY8eODXfeeWe44IILQvQxOy8CBAgQIECAAAECBKpDIKdAGjNmTPjylyu7icB1110XvvnNb1aHXi9X2dra2rbl9w9/+MO2kQ0NDb3M0E2AAAECBAgQIECAQCUFcgqkSl5INa3d1NQUNm7c2HHJW7Zs6TjufHDwwQeHe+65J3z4wx9uaz777LM7dzsmQIAAAQIECBAgQCBjAgqkEhMyZMiQ8Itf/CLsv//+vc5cvHhxiL46v0655d87nzomQIAAAQIECBAgQCBDAgqkEpPxsY99LJx66qkh+vhc++upp54K5513Xvup7wQIECBAgAABAgQIVKmAAqnExA0cOLDt2Uadp23durXzqWMCBAgQIECAAAECBKpUQIGUcuJGp7ye5fILKGnzu6TdOiHtBa3XTeCX3Vo0VEJgfSUWtWY3gWHdWjQQINAfBTwotj9m3XsmQIAAAQIECBAgQCCvgDtIeVniaYye53TWWWeFXbt2tQWcO3duPIFFIUCAAAECBAgQIEAgEQEFUiKsbweNtgJftmxZuPLKK8OoUaPCzJkzw+8SXE9oAgQIECBAgAABAgTKE1AgledX1OyPfvSjof0hsf9e1AyDCBAgQIAAAQIECBCohIACKUb1aOvva665JrzxxhttUdsfILt3794YVxGKAAECBAgQIECAAIGkBBRIMcpGBdEnP/nJMHv27DBixIiO3z1qamqKcRWh4hAYHEcQMcoW2C/UlB1DgPIEBoV3nulWXiSzCVS/wMDqfwveAQECMQhUfYEUFSVnnnlmaGxs7BNHS0tL27xNmzb1aX6+SV/72tfCEUccEV544YUwbdq0MHiwv47nc9JGgAABAgQIECBAIGsCVV8grV+/PixfvjwsXry47a5NqcDR3Z2nn346jBw5stSpRY+PNmoYP358mDRpUtFzDCRAgAABAgQIECBAIH2Bqi+Q2smijRAmTCj9sZPRnafLL788DBo0qD1UbN+jnetGjx4dLrzwwraYixYtii22QAQIECBAgAABAgQIxC+wzxRI8dOUH3HcuHGhfaOG9mgLv31b+6HvBAgQIECAAAECBAhkTKA2Y9dT1ZdjM4aqTp+LJ0CAAAECBAgQIBAUSDH8IRg48O19bw488MC2aNEDYr0IECBAgAABAgQIEKg+AR+xiyFnxxxzTPjZz34Wop3wzjjjjLYNGXoKO9G2xj3RpNr+kq2NU/XuaTF56EkmvfY301vKSgUEPAyiAI4uAgQIpCygQIoBvKamJhx77LFh8+bNMUQTggABAgQIECBAgACBSgkokBKSP+ecc8KGDRtyop900kk5504IECBAgAABAgQIEMiWgAIpgXxED5/9/ve/Hz7ykY+EyZMnd6xw+OGHhx93nDkgQIAAAQIECBAgQCBrAgqkBDNy/vnnhzlz5uSsoEDK4XBCgAABAgQIECBAIFMCdrFLIB1f//rX26Lu2rUrgehCEiBAgAABAgQIECCQlIA7SDHKjhgxIsyfPz8899xzbVF37tzZLfprdk/rZlKJht2VWNSa3QT2dGvRkLbAoLQXtB4BAgQIEMi4gAIpxgRFz0P6wQ9+EKLfQaqrqyu43XeMywpFgAABAgQIECBAgEBMAgqkmCDzhXnmmWdCa2trR9fEiRM7jh0QIECAAAECBAgQIJA9AQVSAjmpra1tu3t06aWX5kQ/99xzc86dECBAgAABAgQIECCQLQEFUkL56PoMpPZlFt753fZD3wkQIECAAAECBAgQyJiAXewylhCXQ4AAAQIECBAgQIBA5QQUSJWztzIBAgQIECBAgAABAhkT8BG7lBNSn/J6lssvcFmoy9+hNVWBVba9T9U732KLw958zdoI9EuBtcP75dv2pgkQ6CLgDlIXEKcECBAgQIAAAQIECPRfAXeQ+pj7G264Idx9990lzT7xxBNLGm8wAQIECBAgQIAAAQLpCiiQ+uj90EMPhTfeeCPMnTu36AjTpk0Lvyl6tIEECBAgQIAAAQIECKQtoEAqQ/z9739/uPrqq0uK8MNz/6yk8QYTIECAAAECBAgQIJCegAKpCOvobtHKlStzRj7//PNh2LBhOW1OCBAgQIAAAQIECBCobgEFUhH5+9znPhdeeeWV0NDQ0DF63bp14aCDDuo4d1BdAo+Eluq64H30al+0i13FM7vVrl0Vz0F0AfvvyMRluAgCBAgQeEtAgVTkH4OLL744XHnllR2jFyxYECZPntxx7oAAAQIECBAgQIAAgeoXUCCVkcPXXnstrFixougI48ePL3qsgQQIECBAgAABAgQIpC+gQOqj+dixY8M3vvGNcOeddxYdYdGiRWFg0aMNJECAAAECBAgQIEAgbQEPiu2j+JIlS0JjY2NJX7fddlsfVzONAAECBAgQIECAAIE0BNxB6qNyTU1NGDx4cB9nm0aAAAECBAgQIECAQBYFFEj/k5XVq1eHMWPG5M1RdKdo7969efs0EiBAgAABAgQIECCw7wj0+wJpwIABob6+PpxzzjkFs3rggQcW7C+285BQU+xQ4xIUaEwwttDFC9QXP9TIhAT+yPbSCcmWFtbPQmleSY0e4+chKVpxCVSVQL8vkAYOHBii3eh27tzZY+Lmz58fjj766B77dRAgQIAAAQIECBAgsG8I9PsCKUrj6NGj2756Sml0h6m29p39LJ566qnwmc98JrS2tvY0JW/7nDlz8rZrJECAAAECBAgQIEAgGwIKpD7k4ec//3l49NFHw4UXXljS7EmTJoXnS5phMAECBAgQIECAAAECaQookPqoHT309ctf/nLJsz9z3vklzzGBAAECBAgQIECAAIF0BN753Fg661mFAAECBAgQIECAAAECmRVwBynl1HhyUsrgPSz3aijt98d6CKO5TAG7OpYJGMP02wb6WYiBsewQw5rKDiFADAKjY4ghBAEC1S+gQCoyh//6r/8a7rrrrrbRr7/+eti+fXuRMw0jQIAAAQIECBAgQKBaBBRIRWTqC1/4Qnj66ac7Rj722GNh+fLlHeftB5s2bQpr165tP+32vacH0XYbqIEAAQIECBAgQIAAgYoIKJCKYD/++OND9NX+GjJkSE7B1N6+cOHC8Mgjj7Sfdvse9R/ZrVUDAQIECBAgQIAAAQJZEbBJQ4yZ2L17d7jqqqvCli1b8n7deuutMa4mFAECBAgQIECAAAECcQu4gxSz6ODBgws+dDbm5YQjQIAAAQIECBAgQCBGAQVSHzDr6urC73//+zB27Nic2du2bQtTpkzJaXNCgAABAgQIECBAgED1CCiQ+pCrRYsWhWjDhdbW3O1xr7jiijBt2rSCEYeGmoL9OtMRmJTOMlbpRWCMn4dehJLv3t/20skjF7HCwCLGGJK8QH3yS1iBAIEqEFAg9SFJI0aMCAsWLOg289prrw1Dhw7t1q6BAAECBAgQIECAAIHqEFAgxZyn22+/PTz55JN5o86ePdu/l+eV0UiAAAECBAgQIEAgGwIKpBjz8LGPfSw88cQTPUYcPXp0eKPHXh0ECBAgQIAAAQIECFRaQIEUYwbOO++8EH0Vel3/l/+nULc+AgQIECBAgAABAgQqKOA5SBXEtzQBAgQIECBAgAABAtkScAcp5XzsCrk736W8vOX+R+CB0MIiAwL/O9Rl4Cr69yVsnNC/339W3v0AW2tmIhXNr2biMlwEAQIVFnAHqcIJsDwBAgQIECBAgAABAtkRcAepD7lYt25diB4KW+pr1KhRpU4xngABAgQIECBAgACBFAUUSCVit7S0hIMPPjjs2bOnxJkhLFy4MBxZ8iwTCBAgQIAAAQIECBBIS0CBVKJ0VCBFxdG9994bZs2aVdLsYcOGhX+96/slzTGYAAECBAgQIECAAIH0BBRIfbQeM2ZMmDhxYh9nm0aAAAECBAgQIECAQBYFbNKQxay4JgIECBAgQIAAAQIEKiKQuTtIdXV14dlnnw3Dhw8vCiT6yFv0amxsLGp8KYNefPHF8MILL+RM2bt3b9t5a2vftuv+g22+czwrdTIr+LeBStl3Xnezn4fOHI77sUDt4H785jP01ketz9DFuBQCBComkLkC6YILLgiHHHJIKLYAWb16dfirv/qrMGTIkNgRo2t59NFHQ23tO3+Zbr+utWvXxr6egAQIECBAgAABAgQIVFYgcwXSiBEjwhlnnFG0ynPPPVf02FIHNjc3h89//vPhk5/8ZMfUqG3gwIGhoaGho+2yyy4LmzZt6jjv6eB973tfT13aCRAgQIAAAQIECBDIgMA7t0YycDHVeAlRwXTdddeFrVu3hvr6+oJfUWHlRYAAAQIECBAgQIBAdgUydwcpu1SFr+zyyy8Ps2fPLjzord6f/d+Lex1jAAECBAgQIECAAAEClRFQIPXR/f777w+rVq0K7Zs2NDU19TGSaQQIECBAgAABAgQIZEVAgVRiJqJd9qIHxH7nO99pm9m+acPrr79eYiTDKymw2+5pleTvWPsAuwl2WFTqoGZQpVa2bmeBPb/ofOa4UgLxb/dUqXdiXQIEyhFQIJWoV1NTE1asWNExq33TBg+N7SBxQIAAAQIECBAgQKBqBRRIMaXutddeCy+99FLBaCNHjizYr5MAAQIECBAgQIAAgcoKKJDK9I+ekTR48OBwzjnn9Bpp4cKFYVSvowwgQIAAAQIECBAgQKBSAgqkMuWjAmnNmjVh+/btvUaK7iD9w13f63WcAQQIECBAgAABAgQIVEZAgRSD+9ixY0P05UWAAAECBAgQIECAQHULeFBsdefP1RMgQIAAAQIECBAgEKNAv7iDNH/+/PDb3/62ZLZXXnklHHzwwSXPKzThtUKd+lITWGh76dSsLZRtgZr6bF9ff7m6+mP6yzvN9vvctibb1+fqCBBIR6BfFEjLly8Pf/qnfxqOPvroklT/6Z/+KRxwwAElzTGYAAECBAgQIECAAIHqFegXBVKUnlNOOaWoneY6p/Kb3/xmGDVqVLjzzjvD0qVLO3f16fi9731vn+aZRIAAAQIECBAgQIBAOgL9pkAqhzMqlF5++eVw1FFHlRMmNDU1lTXfZAIECBAgQIAAAQIEkhVQIBXpO2/evBB95K7c139+7G/KDWE+AQIECBAgQIAAAQIJCdjFLiFYYQkQIECAAAECBAgQqD4Bd5BSztmG0JryipbLJ/ArecjHknrbkNRXtGBXgZbXu7Y4r4TAm70/a7wSl9Xv1qwZ1O/esjdMgEAeAXeQ8qBoIkCAAAECBAgQIECgfwq4gxRD3jds2BBaWlp6jTRs2LBexxhAgAABAgQIECBAgEDlBBRIZdrfe++9IXoQbTGvhQsXFjPMGAIECBAgQIAAAQIEKiSgQCoTfvv27WHChAlh2bJlvUaKnqn0obvu6nWcAQQIECBAgAABAgQIVEZAgRSD+8CBA8P06dNjiCQEAQIECBAgQIAAAQKVFLBJQy/6jz/+eHjppZfC5s2bexmpmwABAgQIECBAgACBahdwB6lABmfPnh0efPDBsGbNmrB+/fqcka+88kpb2x/+8IfQ3Nyc01fopD7UFOrWl5KA7aVTgu5lmcdst96LUArdtjVOAbn3JVp39j7GiOQFbPOdvLEVCFSDgAKpQJa+9KUvhejrjDPOCDNmzMgZefzxx7fdWYoao4/YeREgQIAAAQIECBAgUP0CCqQ+5nDPnj3hlltuCXv37g2f+cxnOqJ88YtfbLvj1NHQ6eCYY47pdOaQAAECBAgQIECAAIGsCSiQyshIfX19W4FUU/POx+YWL14cjj322DBx4sRukbdu3dqtTQMBAgQIECBAgAABAtkRUCAlkItPfepT4dRTT80b+e7L/l/edo0ECBAgQIAAAQIECFReQIEUQw4aGxvD3Xff3RYp+shdKZs2xLC8EAQIECBAgAABAgQIxCSgQCoTsqGhIUQfsbvooovaIkXFUbTrXU+vjXbt6okm1fZXU13NYj0J7OmpQ3tqArUjUlvKQoUE5KGQTmp9rf5PKTVrCxHIsoACqczsnHDCCWHjxo0dUQYPHhymTJnSce6AAAECBAgQIECAAIHqEVAgJZCrHTt2hHwbMkTFkxcBAgQIECBAgAABAtkVUCAVmZvowbCPPPJIx+hom+98v2sUFUHnnHNOx7jOBwsXLux86pgAAQIECBAgQIAAgYwJKJCKSEi0ZXf0zKPvfOc7OaOff/75nPPo5Nlnnw1btmzp1h41jBkzJsy96668fRoJECBAgAABAgQIEKi8gAKpiBz827/9W4i+Or8mTZoUZs6c2bmp7figgw4K0ZcXAQIECBAgQIAAAQLVJ1BbfZfsigkQIECAAAECBAgQIJCMgDtIybj2GPX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      ],
      "text/plain": [
       "plot without title"
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     },
     "metadata": {
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   ],
   "source": [
    "# And now a sample of only 6 patients, with 20000 genes and significance level of 0.005\n",
    "aa=simulate.noise.heatmap(3,20000,0.005)\n",
    "print(aa)"
   ]
  },
  {
   "cell_type": "code",
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    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
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