DE.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Basic DE analysis\n",
    "JasonWong's Lab 2021.01.14"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### read in gene expression data\n",
    "there should be 24530 genes and 113 samples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 6 x 113</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>NPC0001PT00264T00264</th><th scope=col>NPC0001PT00004T00004</th><th scope=col>NPC0001PT00078T00078</th><th scope=col>NPC0001PT00234T00234</th><th scope=col>NPC0001PT00349T00349</th><th scope=col>NPC0001PT00289T00289</th><th scope=col>NPC0001PT00370T00370</th><th scope=col>NPC0001PT00029T00029</th><th scope=col>NPC0001PT00236T00236</th><th scope=col>NPC0001PT00312T00312</th><th scope=col>...</th><th scope=col>NPC0001PT00346T00346</th><th scope=col>NPC0001PT00178T00178</th><th scope=col>NPC0001PT00027T00027</th><th scope=col>NPC0001PT00336T00336</th><th scope=col>NPC0001PT00001T00001</th><th scope=col>NPC0001PT00357T00357</th><th scope=col>NPC0001PT00369T00369</th><th scope=col>NPC0001PT00431T00431</th><th scope=col>NPC0002PT00039T00039</th><th scope=col>NPC0001PT00221T00221</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>...</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>AF085995</th><td> 1.006</td><td> 0.266</td><td> 0.293</td><td>0.628</td><td> 0.277</td><td> 1.048</td><td> 0.311</td><td> 0.432</td><td> 0.245</td><td> 0.582</td><td>...</td><td> 0.840</td><td> 0.429</td><td> 0.442</td><td> 0.447</td><td>0.891</td><td> 0.375</td><td> 0.626</td><td>0.613</td><td> 0.306</td><td> 0.095</td></tr>\n",
       "\t<tr><th scope=row>MTVR2</th><td> 0.152</td><td> 0.037</td><td> 0.047</td><td>0.022</td><td> 0.019</td><td> 0.000</td><td> 0.022</td><td> 0.000</td><td> 0.177</td><td> 0.000</td><td>...</td><td> 0.045</td><td> 0.020</td><td> 0.050</td><td> 0.021</td><td>0.000</td><td> 0.042</td><td> 0.000</td><td>0.026</td><td> 0.000</td><td> 0.027</td></tr>\n",
       "\t<tr><th scope=row>ATRX</th><td> 8.318</td><td> 9.318</td><td> 6.199</td><td>5.876</td><td> 6.973</td><td> 6.542</td><td> 7.234</td><td> 6.525</td><td> 9.736</td><td> 9.220</td><td>...</td><td>10.688</td><td> 6.954</td><td> 6.091</td><td> 6.361</td><td>6.529</td><td> 4.937</td><td> 7.778</td><td>6.855</td><td>11.404</td><td> 8.645</td></tr>\n",
       "\t<tr><th scope=row>AK057978</th><td> 0.107</td><td> 0.041</td><td> 0.019</td><td>0.042</td><td> 0.059</td><td> 0.042</td><td> 0.066</td><td> 0.033</td><td> 0.302</td><td> 0.073</td><td>...</td><td> 0.055</td><td> 0.038</td><td> 0.020</td><td> 0.040</td><td>0.069</td><td> 0.046</td><td> 0.028</td><td>0.029</td><td> 0.074</td><td> 0.036</td></tr>\n",
       "\t<tr><th scope=row>LOC441204</th><td> 0.053</td><td> 0.061</td><td> 0.172</td><td>0.109</td><td> 0.101</td><td> 0.618</td><td> 0.205</td><td> 0.210</td><td> 0.051</td><td> 0.452</td><td>...</td><td> 0.122</td><td> 0.025</td><td> 0.230</td><td> 0.050</td><td>0.223</td><td> 0.139</td><td> 0.249</td><td>0.294</td><td> 0.203</td><td> 0.020</td></tr>\n",
       "\t<tr><th scope=row>TCOF1</th><td>12.437</td><td>20.296</td><td>16.882</td><td>8.065</td><td>13.310</td><td>13.927</td><td>14.682</td><td>19.676</td><td>21.845</td><td>23.440</td><td>...</td><td>16.034</td><td>12.784</td><td>21.449</td><td>15.381</td><td>9.814</td><td>12.388</td><td>18.795</td><td>9.762</td><td>12.463</td><td>16.465</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 x 113\n",
       "\\begin{tabular}{r|lllllllllllllllllllll}\n",
       "  & NPC0001PT00264T00264 & NPC0001PT00004T00004 & NPC0001PT00078T00078 & NPC0001PT00234T00234 & NPC0001PT00349T00349 & NPC0001PT00289T00289 & NPC0001PT00370T00370 & NPC0001PT00029T00029 & NPC0001PT00236T00236 & NPC0001PT00312T00312 & ... & NPC0001PT00346T00346 & NPC0001PT00178T00178 & NPC0001PT00027T00027 & NPC0001PT00336T00336 & NPC0001PT00001T00001 & NPC0001PT00357T00357 & NPC0001PT00369T00369 & NPC0001PT00431T00431 & NPC0002PT00039T00039 & NPC0001PT00221T00221\\\\\n",
       "  & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & ... & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\tAF085995 &  1.006 &  0.266 &  0.293 & 0.628 &  0.277 &  1.048 &  0.311 &  0.432 &  0.245 &  0.582 & ... &  0.840 &  0.429 &  0.442 &  0.447 & 0.891 &  0.375 &  0.626 & 0.613 &  0.306 &  0.095\\\\\n",
       "\tMTVR2 &  0.152 &  0.037 &  0.047 & 0.022 &  0.019 &  0.000 &  0.022 &  0.000 &  0.177 &  0.000 & ... &  0.045 &  0.020 &  0.050 &  0.021 & 0.000 &  0.042 &  0.000 & 0.026 &  0.000 &  0.027\\\\\n",
       "\tATRX &  8.318 &  9.318 &  6.199 & 5.876 &  6.973 &  6.542 &  7.234 &  6.525 &  9.736 &  9.220 & ... & 10.688 &  6.954 &  6.091 &  6.361 & 6.529 &  4.937 &  7.778 & 6.855 & 11.404 &  8.645\\\\\n",
       "\tAK057978 &  0.107 &  0.041 &  0.019 & 0.042 &  0.059 &  0.042 &  0.066 &  0.033 &  0.302 &  0.073 & ... &  0.055 &  0.038 &  0.020 &  0.040 & 0.069 &  0.046 &  0.028 & 0.029 &  0.074 &  0.036\\\\\n",
       "\tLOC441204 &  0.053 &  0.061 &  0.172 & 0.109 &  0.101 &  0.618 &  0.205 &  0.210 &  0.051 &  0.452 & ... &  0.122 &  0.025 &  0.230 &  0.050 & 0.223 &  0.139 &  0.249 & 0.294 &  0.203 &  0.020\\\\\n",
       "\tTCOF1 & 12.437 & 20.296 & 16.882 & 8.065 & 13.310 & 13.927 & 14.682 & 19.676 & 21.845 & 23.440 & ... & 16.034 & 12.784 & 21.449 & 15.381 & 9.814 & 12.388 & 18.795 & 9.762 & 12.463 & 16.465\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 x 113\n",
       "\n",
       "| <!--/--> | NPC0001PT00264T00264 &lt;dbl&gt; | NPC0001PT00004T00004 &lt;dbl&gt; | NPC0001PT00078T00078 &lt;dbl&gt; | NPC0001PT00234T00234 &lt;dbl&gt; | NPC0001PT00349T00349 &lt;dbl&gt; | NPC0001PT00289T00289 &lt;dbl&gt; | NPC0001PT00370T00370 &lt;dbl&gt; | NPC0001PT00029T00029 &lt;dbl&gt; | NPC0001PT00236T00236 &lt;dbl&gt; | NPC0001PT00312T00312 &lt;dbl&gt; | ... ... | NPC0001PT00346T00346 &lt;dbl&gt; | NPC0001PT00178T00178 &lt;dbl&gt; | NPC0001PT00027T00027 &lt;dbl&gt; | NPC0001PT00336T00336 &lt;dbl&gt; | NPC0001PT00001T00001 &lt;dbl&gt; | NPC0001PT00357T00357 &lt;dbl&gt; | NPC0001PT00369T00369 &lt;dbl&gt; | NPC0001PT00431T00431 &lt;dbl&gt; | NPC0002PT00039T00039 &lt;dbl&gt; | NPC0001PT00221T00221 &lt;dbl&gt; |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| AF085995 |  1.006 |  0.266 |  0.293 | 0.628 |  0.277 |  1.048 |  0.311 |  0.432 |  0.245 |  0.582 | ... |  0.840 |  0.429 |  0.442 |  0.447 | 0.891 |  0.375 |  0.626 | 0.613 |  0.306 |  0.095 |\n",
       "| MTVR2 |  0.152 |  0.037 |  0.047 | 0.022 |  0.019 |  0.000 |  0.022 |  0.000 |  0.177 |  0.000 | ... |  0.045 |  0.020 |  0.050 |  0.021 | 0.000 |  0.042 |  0.000 | 0.026 |  0.000 |  0.027 |\n",
       "| ATRX |  8.318 |  9.318 |  6.199 | 5.876 |  6.973 |  6.542 |  7.234 |  6.525 |  9.736 |  9.220 | ... | 10.688 |  6.954 |  6.091 |  6.361 | 6.529 |  4.937 |  7.778 | 6.855 | 11.404 |  8.645 |\n",
       "| AK057978 |  0.107 |  0.041 |  0.019 | 0.042 |  0.059 |  0.042 |  0.066 |  0.033 |  0.302 |  0.073 | ... |  0.055 |  0.038 |  0.020 |  0.040 | 0.069 |  0.046 |  0.028 | 0.029 |  0.074 |  0.036 |\n",
       "| LOC441204 |  0.053 |  0.061 |  0.172 | 0.109 |  0.101 |  0.618 |  0.205 |  0.210 |  0.051 |  0.452 | ... |  0.122 |  0.025 |  0.230 |  0.050 | 0.223 |  0.139 |  0.249 | 0.294 |  0.203 |  0.020 |\n",
       "| TCOF1 | 12.437 | 20.296 | 16.882 | 8.065 | 13.310 | 13.927 | 14.682 | 19.676 | 21.845 | 23.440 | ... | 16.034 | 12.784 | 21.449 | 15.381 | 9.814 | 12.388 | 18.795 | 9.762 | 12.463 | 16.465 |\n",
       "\n"
      ],
      "text/plain": [
       "          NPC0001PT00264T00264 NPC0001PT00004T00004 NPC0001PT00078T00078\n",
       "AF085995   1.006                0.266                0.293              \n",
       "MTVR2      0.152                0.037                0.047              \n",
       "ATRX       8.318                9.318                6.199              \n",
       "AK057978   0.107                0.041                0.019              \n",
       "LOC441204  0.053                0.061                0.172              \n",
       "TCOF1     12.437               20.296               16.882              \n",
       "          NPC0001PT00234T00234 NPC0001PT00349T00349 NPC0001PT00289T00289\n",
       "AF085995  0.628                 0.277                1.048              \n",
       "MTVR2     0.022                 0.019                0.000              \n",
       "ATRX      5.876                 6.973                6.542              \n",
       "AK057978  0.042                 0.059                0.042              \n",
       "LOC441204 0.109                 0.101                0.618              \n",
       "TCOF1     8.065                13.310               13.927              \n",
       "          NPC0001PT00370T00370 NPC0001PT00029T00029 NPC0001PT00236T00236\n",
       "AF085995   0.311                0.432                0.245              \n",
       "MTVR2      0.022                0.000                0.177              \n",
       "ATRX       7.234                6.525                9.736              \n",
       "AK057978   0.066                0.033                0.302              \n",
       "LOC441204  0.205                0.210                0.051              \n",
       "TCOF1     14.682               19.676               21.845              \n",
       "          NPC0001PT00312T00312 ... NPC0001PT00346T00346 NPC0001PT00178T00178\n",
       "AF085995   0.582               ...  0.840                0.429              \n",
       "MTVR2      0.000               ...  0.045                0.020              \n",
       "ATRX       9.220               ... 10.688                6.954              \n",
       "AK057978   0.073               ...  0.055                0.038              \n",
       "LOC441204  0.452               ...  0.122                0.025              \n",
       "TCOF1     23.440               ... 16.034               12.784              \n",
       "          NPC0001PT00027T00027 NPC0001PT00336T00336 NPC0001PT00001T00001\n",
       "AF085995   0.442                0.447               0.891               \n",
       "MTVR2      0.050                0.021               0.000               \n",
       "ATRX       6.091                6.361               6.529               \n",
       "AK057978   0.020                0.040               0.069               \n",
       "LOC441204  0.230                0.050               0.223               \n",
       "TCOF1     21.449               15.381               9.814               \n",
       "          NPC0001PT00357T00357 NPC0001PT00369T00369 NPC0001PT00431T00431\n",
       "AF085995   0.375                0.626               0.613               \n",
       "MTVR2      0.042                0.000               0.026               \n",
       "ATRX       4.937                7.778               6.855               \n",
       "AK057978   0.046                0.028               0.029               \n",
       "LOC441204  0.139                0.249               0.294               \n",
       "TCOF1     12.388               18.795               9.762               \n",
       "          NPC0002PT00039T00039 NPC0001PT00221T00221\n",
       "AF085995   0.306                0.095              \n",
       "MTVR2      0.000                0.027              \n",
       "ATRX      11.404                8.645              \n",
       "AK057978   0.074                0.036              \n",
       "LOC441204  0.203                0.020              \n",
       "TCOF1     12.463               16.465              "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<style>\n",
       ".list-inline {list-style: none; margin:0; padding: 0}\n",
       ".list-inline>li {display: inline-block}\n",
       ".list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n",
       "</style>\n",
       "<ol class=list-inline><li>24530</li><li>113</li></ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 24530\n",
       "\\item 113\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 24530\n",
       "2. 113\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] 24530   113"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 6 x 113</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>NPC0001PT00264T00264</th><th scope=col>NPC0001PT00004T00004</th><th scope=col>NPC0001PT00078T00078</th><th scope=col>NPC0001PT00234T00234</th><th scope=col>NPC0001PT00349T00349</th><th scope=col>NPC0001PT00289T00289</th><th scope=col>NPC0001PT00370T00370</th><th scope=col>NPC0001PT00029T00029</th><th scope=col>NPC0001PT00236T00236</th><th scope=col>NPC0001PT00312T00312</th><th scope=col>...</th><th scope=col>NPC0001PT00346T00346</th><th scope=col>NPC0001PT00178T00178</th><th scope=col>NPC0001PT00027T00027</th><th scope=col>NPC0001PT00336T00336</th><th scope=col>NPC0001PT00001T00001</th><th scope=col>NPC0001PT00357T00357</th><th scope=col>NPC0001PT00369T00369</th><th scope=col>NPC0001PT00431T00431</th><th scope=col>NPC0002PT00039T00039</th><th scope=col>NPC0001PT00221T00221</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>...</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>AF085995</th><td> 0.006</td><td>-1.324</td><td>-1.228</td><td>-0.465</td><td>-1.284</td><td>  0.047</td><td>-1.168</td><td> -0.839</td><td>-1.406</td><td> -0.541</td><td>...</td><td>-0.174</td><td>-0.846</td><td>-0.816</td><td>-0.805</td><td> -0.115</td><td>-0.981</td><td> -0.468</td><td>-0.489</td><td> -1.184</td><td>-2.354</td></tr>\n",
       "\t<tr><th scope=row>MTVR2</th><td>-1.884</td><td>-3.297</td><td>-3.058</td><td>-3.817</td><td>-3.963</td><td>-13.816</td><td>-3.817</td><td>-13.816</td><td>-1.732</td><td>-13.816</td><td>...</td><td>-3.101</td><td>-3.912</td><td>-2.996</td><td>-3.863</td><td>-13.816</td><td>-3.170</td><td>-13.816</td><td>-3.650</td><td>-13.816</td><td>-3.612</td></tr>\n",
       "\t<tr><th scope=row>ATRX</th><td> 2.118</td><td> 2.232</td><td> 1.824</td><td> 1.771</td><td> 1.942</td><td>  1.878</td><td> 1.979</td><td>  1.876</td><td> 2.276</td><td>  2.221</td><td>...</td><td> 2.369</td><td> 1.939</td><td> 1.807</td><td> 1.850</td><td>  1.876</td><td> 1.597</td><td>  2.051</td><td> 1.925</td><td>  2.434</td><td> 2.157</td></tr>\n",
       "\t<tr><th scope=row>AK057978</th><td>-2.235</td><td>-3.194</td><td>-3.963</td><td>-3.170</td><td>-2.830</td><td> -3.170</td><td>-2.718</td><td> -3.411</td><td>-1.197</td><td> -2.617</td><td>...</td><td>-2.900</td><td>-3.270</td><td>-3.912</td><td>-3.219</td><td> -2.674</td><td>-3.079</td><td> -3.576</td><td>-3.540</td><td> -2.604</td><td>-3.324</td></tr>\n",
       "\t<tr><th scope=row>LOC441204</th><td>-2.937</td><td>-2.797</td><td>-1.760</td><td>-2.216</td><td>-2.293</td><td> -0.481</td><td>-1.585</td><td> -1.561</td><td>-2.976</td><td> -0.794</td><td>...</td><td>-2.104</td><td>-3.689</td><td>-1.470</td><td>-2.996</td><td> -1.501</td><td>-1.973</td><td> -1.390</td><td>-1.224</td><td> -1.595</td><td>-3.912</td></tr>\n",
       "\t<tr><th scope=row>TCOF1</th><td> 2.521</td><td> 3.010</td><td> 2.826</td><td> 2.088</td><td> 2.589</td><td>  2.634</td><td> 2.687</td><td>  2.979</td><td> 3.084</td><td>  3.154</td><td>...</td><td> 2.775</td><td> 2.548</td><td> 3.066</td><td> 2.733</td><td>  2.284</td><td> 2.517</td><td>  2.934</td><td> 2.278</td><td>  2.523</td><td> 2.801</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 x 113\n",
       "\\begin{tabular}{r|lllllllllllllllllllll}\n",
       "  & NPC0001PT00264T00264 & NPC0001PT00004T00004 & NPC0001PT00078T00078 & NPC0001PT00234T00234 & NPC0001PT00349T00349 & NPC0001PT00289T00289 & NPC0001PT00370T00370 & NPC0001PT00029T00029 & NPC0001PT00236T00236 & NPC0001PT00312T00312 & ... & NPC0001PT00346T00346 & NPC0001PT00178T00178 & NPC0001PT00027T00027 & NPC0001PT00336T00336 & NPC0001PT00001T00001 & NPC0001PT00357T00357 & NPC0001PT00369T00369 & NPC0001PT00431T00431 & NPC0002PT00039T00039 & NPC0001PT00221T00221\\\\\n",
       "  & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & ... & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\tAF085995 &  0.006 & -1.324 & -1.228 & -0.465 & -1.284 &   0.047 & -1.168 &  -0.839 & -1.406 &  -0.541 & ... & -0.174 & -0.846 & -0.816 & -0.805 &  -0.115 & -0.981 &  -0.468 & -0.489 &  -1.184 & -2.354\\\\\n",
       "\tMTVR2 & -1.884 & -3.297 & -3.058 & -3.817 & -3.963 & -13.816 & -3.817 & -13.816 & -1.732 & -13.816 & ... & -3.101 & -3.912 & -2.996 & -3.863 & -13.816 & -3.170 & -13.816 & -3.650 & -13.816 & -3.612\\\\\n",
       "\tATRX &  2.118 &  2.232 &  1.824 &  1.771 &  1.942 &   1.878 &  1.979 &   1.876 &  2.276 &   2.221 & ... &  2.369 &  1.939 &  1.807 &  1.850 &   1.876 &  1.597 &   2.051 &  1.925 &   2.434 &  2.157\\\\\n",
       "\tAK057978 & -2.235 & -3.194 & -3.963 & -3.170 & -2.830 &  -3.170 & -2.718 &  -3.411 & -1.197 &  -2.617 & ... & -2.900 & -3.270 & -3.912 & -3.219 &  -2.674 & -3.079 &  -3.576 & -3.540 &  -2.604 & -3.324\\\\\n",
       "\tLOC441204 & -2.937 & -2.797 & -1.760 & -2.216 & -2.293 &  -0.481 & -1.585 &  -1.561 & -2.976 &  -0.794 & ... & -2.104 & -3.689 & -1.470 & -2.996 &  -1.501 & -1.973 &  -1.390 & -1.224 &  -1.595 & -3.912\\\\\n",
       "\tTCOF1 &  2.521 &  3.010 &  2.826 &  2.088 &  2.589 &   2.634 &  2.687 &   2.979 &  3.084 &   3.154 & ... &  2.775 &  2.548 &  3.066 &  2.733 &   2.284 &  2.517 &   2.934 &  2.278 &   2.523 &  2.801\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 x 113\n",
       "\n",
       "| <!--/--> | NPC0001PT00264T00264 &lt;dbl&gt; | NPC0001PT00004T00004 &lt;dbl&gt; | NPC0001PT00078T00078 &lt;dbl&gt; | NPC0001PT00234T00234 &lt;dbl&gt; | NPC0001PT00349T00349 &lt;dbl&gt; | NPC0001PT00289T00289 &lt;dbl&gt; | NPC0001PT00370T00370 &lt;dbl&gt; | NPC0001PT00029T00029 &lt;dbl&gt; | NPC0001PT00236T00236 &lt;dbl&gt; | NPC0001PT00312T00312 &lt;dbl&gt; | ... ... | NPC0001PT00346T00346 &lt;dbl&gt; | NPC0001PT00178T00178 &lt;dbl&gt; | NPC0001PT00027T00027 &lt;dbl&gt; | NPC0001PT00336T00336 &lt;dbl&gt; | NPC0001PT00001T00001 &lt;dbl&gt; | NPC0001PT00357T00357 &lt;dbl&gt; | NPC0001PT00369T00369 &lt;dbl&gt; | NPC0001PT00431T00431 &lt;dbl&gt; | NPC0002PT00039T00039 &lt;dbl&gt; | NPC0001PT00221T00221 &lt;dbl&gt; |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| AF085995 |  0.006 | -1.324 | -1.228 | -0.465 | -1.284 |   0.047 | -1.168 |  -0.839 | -1.406 |  -0.541 | ... | -0.174 | -0.846 | -0.816 | -0.805 |  -0.115 | -0.981 |  -0.468 | -0.489 |  -1.184 | -2.354 |\n",
       "| MTVR2 | -1.884 | -3.297 | -3.058 | -3.817 | -3.963 | -13.816 | -3.817 | -13.816 | -1.732 | -13.816 | ... | -3.101 | -3.912 | -2.996 | -3.863 | -13.816 | -3.170 | -13.816 | -3.650 | -13.816 | -3.612 |\n",
       "| ATRX |  2.118 |  2.232 |  1.824 |  1.771 |  1.942 |   1.878 |  1.979 |   1.876 |  2.276 |   2.221 | ... |  2.369 |  1.939 |  1.807 |  1.850 |   1.876 |  1.597 |   2.051 |  1.925 |   2.434 |  2.157 |\n",
       "| AK057978 | -2.235 | -3.194 | -3.963 | -3.170 | -2.830 |  -3.170 | -2.718 |  -3.411 | -1.197 |  -2.617 | ... | -2.900 | -3.270 | -3.912 | -3.219 |  -2.674 | -3.079 |  -3.576 | -3.540 |  -2.604 | -3.324 |\n",
       "| LOC441204 | -2.937 | -2.797 | -1.760 | -2.216 | -2.293 |  -0.481 | -1.585 |  -1.561 | -2.976 |  -0.794 | ... | -2.104 | -3.689 | -1.470 | -2.996 |  -1.501 | -1.973 |  -1.390 | -1.224 |  -1.595 | -3.912 |\n",
       "| TCOF1 |  2.521 |  3.010 |  2.826 |  2.088 |  2.589 |   2.634 |  2.687 |   2.979 |  3.084 |   3.154 | ... |  2.775 |  2.548 |  3.066 |  2.733 |   2.284 |  2.517 |   2.934 |  2.278 |   2.523 |  2.801 |\n",
       "\n"
      ],
      "text/plain": [
       "          NPC0001PT00264T00264 NPC0001PT00004T00004 NPC0001PT00078T00078\n",
       "AF085995   0.006               -1.324               -1.228              \n",
       "MTVR2     -1.884               -3.297               -3.058              \n",
       "ATRX       2.118                2.232                1.824              \n",
       "AK057978  -2.235               -3.194               -3.963              \n",
       "LOC441204 -2.937               -2.797               -1.760              \n",
       "TCOF1      2.521                3.010                2.826              \n",
       "          NPC0001PT00234T00234 NPC0001PT00349T00349 NPC0001PT00289T00289\n",
       "AF085995  -0.465               -1.284                 0.047             \n",
       "MTVR2     -3.817               -3.963               -13.816             \n",
       "ATRX       1.771                1.942                 1.878             \n",
       "AK057978  -3.170               -2.830                -3.170             \n",
       "LOC441204 -2.216               -2.293                -0.481             \n",
       "TCOF1      2.088                2.589                 2.634             \n",
       "          NPC0001PT00370T00370 NPC0001PT00029T00029 NPC0001PT00236T00236\n",
       "AF085995  -1.168                -0.839              -1.406              \n",
       "MTVR2     -3.817               -13.816              -1.732              \n",
       "ATRX       1.979                 1.876               2.276              \n",
       "AK057978  -2.718                -3.411              -1.197              \n",
       "LOC441204 -1.585                -1.561              -2.976              \n",
       "TCOF1      2.687                 2.979               3.084              \n",
       "          NPC0001PT00312T00312 ... NPC0001PT00346T00346 NPC0001PT00178T00178\n",
       "AF085995   -0.541              ... -0.174               -0.846              \n",
       "MTVR2     -13.816              ... -3.101               -3.912              \n",
       "ATRX        2.221              ...  2.369                1.939              \n",
       "AK057978   -2.617              ... -2.900               -3.270              \n",
       "LOC441204  -0.794              ... -2.104               -3.689              \n",
       "TCOF1       3.154              ...  2.775                2.548              \n",
       "          NPC0001PT00027T00027 NPC0001PT00336T00336 NPC0001PT00001T00001\n",
       "AF085995  -0.816               -0.805                -0.115             \n",
       "MTVR2     -2.996               -3.863               -13.816             \n",
       "ATRX       1.807                1.850                 1.876             \n",
       "AK057978  -3.912               -3.219                -2.674             \n",
       "LOC441204 -1.470               -2.996                -1.501             \n",
       "TCOF1      3.066                2.733                 2.284             \n",
       "          NPC0001PT00357T00357 NPC0001PT00369T00369 NPC0001PT00431T00431\n",
       "AF085995  -0.981                -0.468              -0.489              \n",
       "MTVR2     -3.170               -13.816              -3.650              \n",
       "ATRX       1.597                 2.051               1.925              \n",
       "AK057978  -3.079                -3.576              -3.540              \n",
       "LOC441204 -1.973                -1.390              -1.224              \n",
       "TCOF1      2.517                 2.934               2.278              \n",
       "          NPC0002PT00039T00039 NPC0001PT00221T00221\n",
       "AF085995   -1.184              -2.354              \n",
       "MTVR2     -13.816              -3.612              \n",
       "ATRX        2.434               2.157              \n",
       "AK057978   -2.604              -3.324              \n",
       "LOC441204  -1.595              -3.912              \n",
       "TCOF1       2.523               2.801              "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dat <- as.data.frame(read.table(\"GSE102349_NPC_mRNA_processed.txt\",header = TRUE,sep = \"\\t\", dec = \".\",na.strings = \"NA\",stringsAsFactors=FALSE,check.names = FALSE))\n",
    "row.names(dat) <- dat[,1]\n",
    "dat<-dat[,-1]\n",
    "head(dat)\n",
    "dim(dat)\n",
    "\n",
    "#log processed\n",
    "#install.packages(\"dplyr\")\n",
    "#log transfer\n",
    "library(dplyr)\n",
    "dat=as.data.frame(sweep(data.matrix(dat),1,0.000001,FUN = \"+\"))   #log(X+1)\n",
    "dat %>% mutate_each(funs(log)) -> tmp\n",
    "row.names(tmp)=row.names(dat)\n",
    "dat=round(tmp,3)\n",
    "head(dat)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### check missing data\n",
    "convert missing value (\"na\") to 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 6 x 2</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>apply(dat, 2, f)</th><th scope=col>id</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>NPC0001PT00264T00264</th><td>0</td><td>NPC0001PT00264T00264</td></tr>\n",
       "\t<tr><th scope=row>NPC0001PT00004T00004</th><td>0</td><td>NPC0001PT00004T00004</td></tr>\n",
       "\t<tr><th scope=row>NPC0001PT00078T00078</th><td>0</td><td>NPC0001PT00078T00078</td></tr>\n",
       "\t<tr><th scope=row>NPC0001PT00234T00234</th><td>0</td><td>NPC0001PT00234T00234</td></tr>\n",
       "\t<tr><th scope=row>NPC0001PT00349T00349</th><td>0</td><td>NPC0001PT00349T00349</td></tr>\n",
       "\t<tr><th scope=row>NPC0001PT00289T00289</th><td>0</td><td>NPC0001PT00289T00289</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 x 2\n",
       "\\begin{tabular}{r|ll}\n",
       "  & apply(dat, 2, f) & id\\\\\n",
       "  & <int> & <chr>\\\\\n",
       "\\hline\n",
       "\tNPC0001PT00264T00264 & 0 & NPC0001PT00264T00264\\\\\n",
       "\tNPC0001PT00004T00004 & 0 & NPC0001PT00004T00004\\\\\n",
       "\tNPC0001PT00078T00078 & 0 & NPC0001PT00078T00078\\\\\n",
       "\tNPC0001PT00234T00234 & 0 & NPC0001PT00234T00234\\\\\n",
       "\tNPC0001PT00349T00349 & 0 & NPC0001PT00349T00349\\\\\n",
       "\tNPC0001PT00289T00289 & 0 & NPC0001PT00289T00289\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 x 2\n",
       "\n",
       "| <!--/--> | apply(dat, 2, f) &lt;int&gt; | id &lt;chr&gt; |\n",
       "|---|---|---|\n",
       "| NPC0001PT00264T00264 | 0 | NPC0001PT00264T00264 |\n",
       "| NPC0001PT00004T00004 | 0 | NPC0001PT00004T00004 |\n",
       "| NPC0001PT00078T00078 | 0 | NPC0001PT00078T00078 |\n",
       "| NPC0001PT00234T00234 | 0 | NPC0001PT00234T00234 |\n",
       "| NPC0001PT00349T00349 | 0 | NPC0001PT00349T00349 |\n",
       "| NPC0001PT00289T00289 | 0 | NPC0001PT00289T00289 |\n",
       "\n"
      ],
      "text/plain": [
       "                     apply(dat, 2, f) id                  \n",
       "NPC0001PT00264T00264 0                NPC0001PT00264T00264\n",
       "NPC0001PT00004T00004 0                NPC0001PT00004T00004\n",
       "NPC0001PT00078T00078 0                NPC0001PT00078T00078\n",
       "NPC0001PT00234T00234 0                NPC0001PT00234T00234\n",
       "NPC0001PT00349T00349 0                NPC0001PT00349T00349\n",
       "NPC0001PT00289T00289 0                NPC0001PT00289T00289"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#check missing value\n",
    "f<-function(x) sum(is.na(x))\n",
    "#1 = summarize by row; 2= summarize by column\n",
    "d<-as.data.frame(apply(dat,2,f))\n",
    "d$id=row.names(d)\n",
    "head(d[order(d[,1],decreasing=TRUE),])\n",
    "\n",
    "#convert missing value to 0\n",
    "dat[is.na(dat)] <- 0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Pearson correlation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "test correlation between two samples, here take NPC0001PT00264T00264 and NPC0001PT00004T00004 as an example.  \n",
    "Don't forget to log the RNA expression before scatter plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "0.847675725588223"
      ],
      "text/latex": [
       "0.847675725588223"
      ],
      "text/markdown": [
       "0.847675725588223"
      ],
      "text/plain": [
       "[1] 0.8476757"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "`geom_smooth()` using formula 'y ~ x'\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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8ENiAvBDgAAIkOkkM6Ro+1PvZ22+Tszu+b4t0sObb2XoAME5+x97KKcV0mChiDY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Bp0CjcrzaL7ddI9leRgcAkD2CHSqoo2dU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\nH2IAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#install.packages(\"ggplot2\")\n",
    "#install.packages(\"dplyr\")\n",
    "library(ggplot2)\n",
    "library(dplyr)\n",
    "\n",
    "a=dat[,\"NPC0001PT00264T00264\"]\n",
    "b=dat[,\"NPC0001PT00004T00004\"]\n",
    "cor(a,b,method=\"pearson\")\n",
    "ggplot(dat,aes(x=dat[,\"NPC0001PT00264T00264\"],y=dat[,\"NPC0001PT00004T00004\"]))+ geom_point(size=1,shape=15)+geom_smooth(method=lm)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "multiple correlation test for the whole matrix."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A matrix: 6 x 113 of type dbl</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>NPC0001PT00264T00264</th><th scope=col>NPC0001PT00004T00004</th><th scope=col>NPC0001PT00078T00078</th><th scope=col>NPC0001PT00234T00234</th><th scope=col>NPC0001PT00349T00349</th><th scope=col>NPC0001PT00289T00289</th><th scope=col>NPC0001PT00370T00370</th><th scope=col>NPC0001PT00029T00029</th><th scope=col>NPC0001PT00236T00236</th><th scope=col>NPC0001PT00312T00312</th><th scope=col>...</th><th scope=col>NPC0001PT00346T00346</th><th scope=col>NPC0001PT00178T00178</th><th scope=col>NPC0001PT00027T00027</th><th scope=col>NPC0001PT00336T00336</th><th scope=col>NPC0001PT00001T00001</th><th scope=col>NPC0001PT00357T00357</th><th scope=col>NPC0001PT00369T00369</th><th scope=col>NPC0001PT00431T00431</th><th scope=col>NPC0002PT00039T00039</th><th scope=col>NPC0001PT00221T00221</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>NPC0001PT00264T00264</th><td>1.0000000</td><td>0.8476757</td><td>0.8575297</td><td>0.8343198</td><td>0.8466419</td><td>0.8424098</td><td>0.8527794</td><td>0.8495997</td><td>0.8561630</td><td>0.8304055</td><td>...</td><td>0.8397824</td><td>0.8561389</td><td>0.8379325</td><td>0.8488217</td><td>0.8393156</td><td>0.8350064</td><td>0.8513932</td><td>0.8401112</td><td>0.8373505</td><td>0.8406095</td></tr>\n",
       "\t<tr><th scope=row>NPC0001PT00004T00004</th><td>0.8476757</td><td>1.0000000</td><td>0.8791760</td><td>0.8601622</td><td>0.8723575</td><td>0.8487604</td><td>0.8615097</td><td>0.8639578</td><td>0.8454142</td><td>0.8477675</td><td>...</td><td>0.8579082</td><td>0.8689406</td><td>0.8545045</td><td>0.8518749</td><td>0.8733391</td><td>0.8413719</td><td>0.8700811</td><td>0.8454495</td><td>0.8474602</td><td>0.8556642</td></tr>\n",
       "\t<tr><th scope=row>NPC0001PT00078T00078</th><td>0.8575297</td><td>0.8791760</td><td>1.0000000</td><td>0.8669081</td><td>0.8751317</td><td>0.8562487</td><td>0.8659199</td><td>0.8715084</td><td>0.8402567</td><td>0.8586516</td><td>...</td><td>0.8650898</td><td>0.8774735</td><td>0.8514006</td><td>0.8549866</td><td>0.8772577</td><td>0.8453337</td><td>0.8796513</td><td>0.8512981</td><td>0.8510288</td><td>0.8660440</td></tr>\n",
       "\t<tr><th scope=row>NPC0001PT00234T00234</th><td>0.8343198</td><td>0.8601622</td><td>0.8669081</td><td>1.0000000</td><td>0.8552782</td><td>0.8408849</td><td>0.8497192</td><td>0.8546452</td><td>0.8211704</td><td>0.8290896</td><td>...</td><td>0.8531045</td><td>0.8559707</td><td>0.8318006</td><td>0.8390066</td><td>0.8603223</td><td>0.8380459</td><td>0.8601095</td><td>0.8441249</td><td>0.8754202</td><td>0.8429126</td></tr>\n",
       "\t<tr><th scope=row>NPC0001PT00349T00349</th><td>0.8466419</td><td>0.8723575</td><td>0.8751317</td><td>0.8552782</td><td>1.0000000</td><td>0.8518037</td><td>0.8620166</td><td>0.8662109</td><td>0.8435270</td><td>0.8598662</td><td>...</td><td>0.8761383</td><td>0.8715995</td><td>0.8524160</td><td>0.8541304</td><td>0.8741701</td><td>0.8566897</td><td>0.8732446</td><td>0.8480767</td><td>0.8491260</td><td>0.8710245</td></tr>\n",
       "\t<tr><th scope=row>NPC0001PT00289T00289</th><td>0.8424098</td><td>0.8487604</td><td>0.8562487</td><td>0.8408849</td><td>0.8518037</td><td>1.0000000</td><td>0.8662161</td><td>0.8547377</td><td>0.8431373</td><td>0.8344371</td><td>...</td><td>0.8431512</td><td>0.8564430</td><td>0.8517961</td><td>0.8586788</td><td>0.8567903</td><td>0.8490062</td><td>0.8524543</td><td>0.8549991</td><td>0.8379379</td><td>0.8460105</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A matrix: 6 x 113 of type dbl\n",
       "\\begin{tabular}{r|lllllllllllllllllllll}\n",
       "  & NPC0001PT00264T00264 & NPC0001PT00004T00004 & NPC0001PT00078T00078 & NPC0001PT00234T00234 & NPC0001PT00349T00349 & NPC0001PT00289T00289 & NPC0001PT00370T00370 & NPC0001PT00029T00029 & NPC0001PT00236T00236 & NPC0001PT00312T00312 & ... & NPC0001PT00346T00346 & NPC0001PT00178T00178 & NPC0001PT00027T00027 & NPC0001PT00336T00336 & NPC0001PT00001T00001 & NPC0001PT00357T00357 & NPC0001PT00369T00369 & NPC0001PT00431T00431 & NPC0002PT00039T00039 & NPC0001PT00221T00221\\\\\n",
       "\\hline\n",
       "\tNPC0001PT00264T00264 & 1.0000000 & 0.8476757 & 0.8575297 & 0.8343198 & 0.8466419 & 0.8424098 & 0.8527794 & 0.8495997 & 0.8561630 & 0.8304055 & ... & 0.8397824 & 0.8561389 & 0.8379325 & 0.8488217 & 0.8393156 & 0.8350064 & 0.8513932 & 0.8401112 & 0.8373505 & 0.8406095\\\\\n",
       "\tNPC0001PT00004T00004 & 0.8476757 & 1.0000000 & 0.8791760 & 0.8601622 & 0.8723575 & 0.8487604 & 0.8615097 & 0.8639578 & 0.8454142 & 0.8477675 & ... & 0.8579082 & 0.8689406 & 0.8545045 & 0.8518749 & 0.8733391 & 0.8413719 & 0.8700811 & 0.8454495 & 0.8474602 & 0.8556642\\\\\n",
       "\tNPC0001PT00078T00078 & 0.8575297 & 0.8791760 & 1.0000000 & 0.8669081 & 0.8751317 & 0.8562487 & 0.8659199 & 0.8715084 & 0.8402567 & 0.8586516 & ... & 0.8650898 & 0.8774735 & 0.8514006 & 0.8549866 & 0.8772577 & 0.8453337 & 0.8796513 & 0.8512981 & 0.8510288 & 0.8660440\\\\\n",
       "\tNPC0001PT00234T00234 & 0.8343198 & 0.8601622 & 0.8669081 & 1.0000000 & 0.8552782 & 0.8408849 & 0.8497192 & 0.8546452 & 0.8211704 & 0.8290896 & ... & 0.8531045 & 0.8559707 & 0.8318006 & 0.8390066 & 0.8603223 & 0.8380459 & 0.8601095 & 0.8441249 & 0.8754202 & 0.8429126\\\\\n",
       "\tNPC0001PT00349T00349 & 0.8466419 & 0.8723575 & 0.8751317 & 0.8552782 & 1.0000000 & 0.8518037 & 0.8620166 & 0.8662109 & 0.8435270 & 0.8598662 & ... & 0.8761383 & 0.8715995 & 0.8524160 & 0.8541304 & 0.8741701 & 0.8566897 & 0.8732446 & 0.8480767 & 0.8491260 & 0.8710245\\\\\n",
       "\tNPC0001PT00289T00289 & 0.8424098 & 0.8487604 & 0.8562487 & 0.8408849 & 0.8518037 & 1.0000000 & 0.8662161 & 0.8547377 & 0.8431373 & 0.8344371 & ... & 0.8431512 & 0.8564430 & 0.8517961 & 0.8586788 & 0.8567903 & 0.8490062 & 0.8524543 & 0.8549991 & 0.8379379 & 0.8460105\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A matrix: 6 x 113 of type dbl\n",
       "\n",
       "| <!--/--> | NPC0001PT00264T00264 | NPC0001PT00004T00004 | NPC0001PT00078T00078 | NPC0001PT00234T00234 | NPC0001PT00349T00349 | NPC0001PT00289T00289 | NPC0001PT00370T00370 | NPC0001PT00029T00029 | NPC0001PT00236T00236 | NPC0001PT00312T00312 | ... | NPC0001PT00346T00346 | NPC0001PT00178T00178 | NPC0001PT00027T00027 | NPC0001PT00336T00336 | NPC0001PT00001T00001 | NPC0001PT00357T00357 | NPC0001PT00369T00369 | NPC0001PT00431T00431 | NPC0002PT00039T00039 | NPC0001PT00221T00221 |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| NPC0001PT00264T00264 | 1.0000000 | 0.8476757 | 0.8575297 | 0.8343198 | 0.8466419 | 0.8424098 | 0.8527794 | 0.8495997 | 0.8561630 | 0.8304055 | ... | 0.8397824 | 0.8561389 | 0.8379325 | 0.8488217 | 0.8393156 | 0.8350064 | 0.8513932 | 0.8401112 | 0.8373505 | 0.8406095 |\n",
       "| NPC0001PT00004T00004 | 0.8476757 | 1.0000000 | 0.8791760 | 0.8601622 | 0.8723575 | 0.8487604 | 0.8615097 | 0.8639578 | 0.8454142 | 0.8477675 | ... | 0.8579082 | 0.8689406 | 0.8545045 | 0.8518749 | 0.8733391 | 0.8413719 | 0.8700811 | 0.8454495 | 0.8474602 | 0.8556642 |\n",
       "| NPC0001PT00078T00078 | 0.8575297 | 0.8791760 | 1.0000000 | 0.8669081 | 0.8751317 | 0.8562487 | 0.8659199 | 0.8715084 | 0.8402567 | 0.8586516 | ... | 0.8650898 | 0.8774735 | 0.8514006 | 0.8549866 | 0.8772577 | 0.8453337 | 0.8796513 | 0.8512981 | 0.8510288 | 0.8660440 |\n",
       "| NPC0001PT00234T00234 | 0.8343198 | 0.8601622 | 0.8669081 | 1.0000000 | 0.8552782 | 0.8408849 | 0.8497192 | 0.8546452 | 0.8211704 | 0.8290896 | ... | 0.8531045 | 0.8559707 | 0.8318006 | 0.8390066 | 0.8603223 | 0.8380459 | 0.8601095 | 0.8441249 | 0.8754202 | 0.8429126 |\n",
       "| NPC0001PT00349T00349 | 0.8466419 | 0.8723575 | 0.8751317 | 0.8552782 | 1.0000000 | 0.8518037 | 0.8620166 | 0.8662109 | 0.8435270 | 0.8598662 | ... | 0.8761383 | 0.8715995 | 0.8524160 | 0.8541304 | 0.8741701 | 0.8566897 | 0.8732446 | 0.8480767 | 0.8491260 | 0.8710245 |\n",
       "| NPC0001PT00289T00289 | 0.8424098 | 0.8487604 | 0.8562487 | 0.8408849 | 0.8518037 | 1.0000000 | 0.8662161 | 0.8547377 | 0.8431373 | 0.8344371 | ... | 0.8431512 | 0.8564430 | 0.8517961 | 0.8586788 | 0.8567903 | 0.8490062 | 0.8524543 | 0.8549991 | 0.8379379 | 0.8460105 |\n",
       "\n"
      ],
      "text/plain": [
       "                     NPC0001PT00264T00264 NPC0001PT00004T00004\n",
       "NPC0001PT00264T00264 1.0000000            0.8476757           \n",
       "NPC0001PT00004T00004 0.8476757            1.0000000           \n",
       "NPC0001PT00078T00078 0.8575297            0.8791760           \n",
       "NPC0001PT00234T00234 0.8343198            0.8601622           \n",
       "NPC0001PT00349T00349 0.8466419            0.8723575           \n",
       "NPC0001PT00289T00289 0.8424098            0.8487604           \n",
       "                     NPC0001PT00078T00078 NPC0001PT00234T00234\n",
       "NPC0001PT00264T00264 0.8575297            0.8343198           \n",
       "NPC0001PT00004T00004 0.8791760            0.8601622           \n",
       "NPC0001PT00078T00078 1.0000000            0.8669081           \n",
       "NPC0001PT00234T00234 0.8669081            1.0000000           \n",
       "NPC0001PT00349T00349 0.8751317            0.8552782           \n",
       "NPC0001PT00289T00289 0.8562487            0.8408849           \n",
       "                     NPC0001PT00349T00349 NPC0001PT00289T00289\n",
       "NPC0001PT00264T00264 0.8466419            0.8424098           \n",
       "NPC0001PT00004T00004 0.8723575            0.8487604           \n",
       "NPC0001PT00078T00078 0.8751317            0.8562487           \n",
       "NPC0001PT00234T00234 0.8552782            0.8408849           \n",
       "NPC0001PT00349T00349 1.0000000            0.8518037           \n",
       "NPC0001PT00289T00289 0.8518037            1.0000000           \n",
       "                     NPC0001PT00370T00370 NPC0001PT00029T00029\n",
       "NPC0001PT00264T00264 0.8527794            0.8495997           \n",
       "NPC0001PT00004T00004 0.8615097            0.8639578           \n",
       "NPC0001PT00078T00078 0.8659199            0.8715084           \n",
       "NPC0001PT00234T00234 0.8497192            0.8546452           \n",
       "NPC0001PT00349T00349 0.8620166            0.8662109           \n",
       "NPC0001PT00289T00289 0.8662161            0.8547377           \n",
       "                     NPC0001PT00236T00236 NPC0001PT00312T00312 ...\n",
       "NPC0001PT00264T00264 0.8561630            0.8304055            ...\n",
       "NPC0001PT00004T00004 0.8454142            0.8477675            ...\n",
       "NPC0001PT00078T00078 0.8402567            0.8586516            ...\n",
       "NPC0001PT00234T00234 0.8211704            0.8290896            ...\n",
       "NPC0001PT00349T00349 0.8435270            0.8598662            ...\n",
       "NPC0001PT00289T00289 0.8431373            0.8344371            ...\n",
       "                     NPC0001PT00346T00346 NPC0001PT00178T00178\n",
       "NPC0001PT00264T00264 0.8397824            0.8561389           \n",
       "NPC0001PT00004T00004 0.8579082            0.8689406           \n",
       "NPC0001PT00078T00078 0.8650898            0.8774735           \n",
       "NPC0001PT00234T00234 0.8531045            0.8559707           \n",
       "NPC0001PT00349T00349 0.8761383            0.8715995           \n",
       "NPC0001PT00289T00289 0.8431512            0.8564430           \n",
       "                     NPC0001PT00027T00027 NPC0001PT00336T00336\n",
       "NPC0001PT00264T00264 0.8379325            0.8488217           \n",
       "NPC0001PT00004T00004 0.8545045            0.8518749           \n",
       "NPC0001PT00078T00078 0.8514006            0.8549866           \n",
       "NPC0001PT00234T00234 0.8318006            0.8390066           \n",
       "NPC0001PT00349T00349 0.8524160            0.8541304           \n",
       "NPC0001PT00289T00289 0.8517961            0.8586788           \n",
       "                     NPC0001PT00001T00001 NPC0001PT00357T00357\n",
       "NPC0001PT00264T00264 0.8393156            0.8350064           \n",
       "NPC0001PT00004T00004 0.8733391            0.8413719           \n",
       "NPC0001PT00078T00078 0.8772577            0.8453337           \n",
       "NPC0001PT00234T00234 0.8603223            0.8380459           \n",
       "NPC0001PT00349T00349 0.8741701            0.8566897           \n",
       "NPC0001PT00289T00289 0.8567903            0.8490062           \n",
       "                     NPC0001PT00369T00369 NPC0001PT00431T00431\n",
       "NPC0001PT00264T00264 0.8513932            0.8401112           \n",
       "NPC0001PT00004T00004 0.8700811            0.8454495           \n",
       "NPC0001PT00078T00078 0.8796513            0.8512981           \n",
       "NPC0001PT00234T00234 0.8601095            0.8441249           \n",
       "NPC0001PT00349T00349 0.8732446            0.8480767           \n",
       "NPC0001PT00289T00289 0.8524543            0.8549991           \n",
       "                     NPC0002PT00039T00039 NPC0001PT00221T00221\n",
       "NPC0001PT00264T00264 0.8373505            0.8406095           \n",
       "NPC0001PT00004T00004 0.8474602            0.8556642           \n",
       "NPC0001PT00078T00078 0.8510288            0.8660440           \n",
       "NPC0001PT00234T00234 0.8754202            0.8429126           \n",
       "NPC0001PT00349T00349 0.8491260            0.8710245           \n",
       "NPC0001PT00289T00289 0.8379379            0.8460105           "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "c=cor(dat,method=\"pearson\")\n",
    "head(c)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### PCA analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ahV3ln5i22h5ED5tWYV/Z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\nAgQQEiCAkAABhAQI+P9Rmp+yiNUu5QAAAABJRU5ErkJggg==",
      "text/plain": [
       "Plot with title “out_pca”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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CQWEAkDIkkFRGIBkTAgklRAJBYQCQMi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9A+7Q8lnfRrSrjRy5NpsQ7/6Z127yjvEJRGIFIhk0uUgB59BZNjozsd8qPXL8y1Yx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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#install.packages('ggfortify')\n",
    "library(ggfortify)\n",
    "dat_pca=t(dat)\n",
    "#head(dat_pca[,1:100])\n",
    "\n",
    "##apply PCA - scale. = TRUE is highly advisable, but default is FALSE. \n",
    "out_pca <- prcomp(dat_pca,scale= TRUE)\n",
    "plot(out_pca,type=\"l\")\n",
    "autoplot(out_pca,data=dat_pca,size=0.1,label=TRUE,label.size=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### read in samples information"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>\n",
       ".list-inline {list-style: none; margin:0; padding: 0}\n",
       ".list-inline>li {display: inline-block}\n",
       ".list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n",
       "</style>\n",
       "<ol class=list-inline><li>113</li><li>3</li></ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 113\n",
       "\\item 3\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 113\n",
       "2. 3\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] 113   3"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<style>\n",
       ".list-inline {list-style: none; margin:0; padding: 0}\n",
       ".list-inline>li {display: inline-block}\n",
       ".list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n",
       "</style>\n",
       "<ol class=list-inline><li>61</li><li>3</li></ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 61\n",
       "\\item 3\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 61\n",
       "2. 3\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] 61  3"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 6 x 3</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>time</th><th scope=col>event</th><th scope=col>clinical_stage</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>NPC0001PT00004T00004</th><td>21.1       </td><td>Last follow-up     </td><td>IV </td></tr>\n",
       "\t<tr><th scope=row>NPC0001PT00078T00078</th><td>21.39      </td><td>Disease progression</td><td>III</td></tr>\n",
       "\t<tr><th scope=row>NPC0001PT00370T00370</th><td>26.9       </td><td>Last follow-up     </td><td>IV </td></tr>\n",
       "\t<tr><th scope=row>NPC0001PT00312T00312</th><td>6.01       </td><td>Disease progression</td><td>III</td></tr>\n",
       "\t<tr><th scope=row>NPC0001PT00061T00061</th><td>40.06666667</td><td>Last follow-up     </td><td>IV </td></tr>\n",
       "\t<tr><th scope=row>NPC0001PT00196T00196</th><td>34.5       </td><td>Last follow-up     </td><td>III</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 x 3\n",
       "\\begin{tabular}{r|lll}\n",
       "  & time & event & clinical\\_stage\\\\\n",
       "  & <chr> & <chr> & <chr>\\\\\n",
       "\\hline\n",
       "\tNPC0001PT00004T00004 & 21.1        & Last follow-up      & IV \\\\\n",
       "\tNPC0001PT00078T00078 & 21.39       & Disease progression & III\\\\\n",
       "\tNPC0001PT00370T00370 & 26.9        & Last follow-up      & IV \\\\\n",
       "\tNPC0001PT00312T00312 & 6.01        & Disease progression & III\\\\\n",
       "\tNPC0001PT00061T00061 & 40.06666667 & Last follow-up      & IV \\\\\n",
       "\tNPC0001PT00196T00196 & 34.5        & Last follow-up      & III\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 x 3\n",
       "\n",
       "| <!--/--> | time &lt;chr&gt; | event &lt;chr&gt; | clinical_stage &lt;chr&gt; |\n",
       "|---|---|---|---|\n",
       "| NPC0001PT00004T00004 | 21.1        | Last follow-up      | IV  |\n",
       "| NPC0001PT00078T00078 | 21.39       | Disease progression | III |\n",
       "| NPC0001PT00370T00370 | 26.9        | Last follow-up      | IV  |\n",
       "| NPC0001PT00312T00312 | 6.01        | Disease progression | III |\n",
       "| NPC0001PT00061T00061 | 40.06666667 | Last follow-up      | IV  |\n",
       "| NPC0001PT00196T00196 | 34.5        | Last follow-up      | III |\n",
       "\n"
      ],
      "text/plain": [
       "                     time        event               clinical_stage\n",
       "NPC0001PT00004T00004 21.1        Last follow-up      IV            \n",
       "NPC0001PT00078T00078 21.39       Disease progression III           \n",
       "NPC0001PT00370T00370 26.9        Last follow-up      IV            \n",
       "NPC0001PT00312T00312 6.01        Disease progression III           \n",
       "NPC0001PT00061T00061 40.06666667 Last follow-up      IV            \n",
       "NPC0001PT00196T00196 34.5        Last follow-up      III           "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\n",
       "III  IV \n",
       " 39  22 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "info <- as.data.frame(read.table(\"GSE102349_series_matrix_survival.csv\",header = TRUE,sep = \",\", dec = \".\",na.strings = \"NA\",stringsAsFactors=FALSE,check.names = FALSE))\n",
    "row.names(info) <- info[,1]\n",
    "info<-info[,-1]\n",
    "dim(info)\n",
    "\n",
    "#remove missing data and filter out clinical stage I and II samples\n",
    "info=info[!info[, \"time\"] == \"N/A\",]\n",
    "info=info[info[, \"clinical_stage\"] == \"III\" | info[, \"clinical_stage\"] == \"IV\",]\n",
    "\n",
    "dim(info)\n",
    "head(info)\n",
    "table(info$`clinical_stage`)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## survival analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Loading required package: ggpubr\n",
      "\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 6 x 3</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>time</th><th scope=col>event</th><th scope=col>clinical_stage</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;chr&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>NPC0001PT00004T00004</th><td>21.10000</td><td>0</td><td>IV </td></tr>\n",
       "\t<tr><th scope=row>NPC0001PT00078T00078</th><td>21.39000</td><td>1</td><td>III</td></tr>\n",
       "\t<tr><th scope=row>NPC0001PT00370T00370</th><td>26.90000</td><td>0</td><td>IV </td></tr>\n",
       "\t<tr><th scope=row>NPC0001PT00312T00312</th><td> 6.01000</td><td>1</td><td>III</td></tr>\n",
       "\t<tr><th scope=row>NPC0001PT00061T00061</th><td>40.06667</td><td>0</td><td>IV </td></tr>\n",
       "\t<tr><th scope=row>NPC0001PT00196T00196</th><td>34.50000</td><td>0</td><td>III</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 x 3\n",
       "\\begin{tabular}{r|lll}\n",
       "  & time & event & clinical\\_stage\\\\\n",
       "  & <dbl> & <dbl> & <chr>\\\\\n",
       "\\hline\n",
       "\tNPC0001PT00004T00004 & 21.10000 & 0 & IV \\\\\n",
       "\tNPC0001PT00078T00078 & 21.39000 & 1 & III\\\\\n",
       "\tNPC0001PT00370T00370 & 26.90000 & 0 & IV \\\\\n",
       "\tNPC0001PT00312T00312 &  6.01000 & 1 & III\\\\\n",
       "\tNPC0001PT00061T00061 & 40.06667 & 0 & IV \\\\\n",
       "\tNPC0001PT00196T00196 & 34.50000 & 0 & III\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 x 3\n",
       "\n",
       "| <!--/--> | time &lt;dbl&gt; | event &lt;dbl&gt; | clinical_stage &lt;chr&gt; |\n",
       "|---|---|---|---|\n",
       "| NPC0001PT00004T00004 | 21.10000 | 0 | IV  |\n",
       "| NPC0001PT00078T00078 | 21.39000 | 1 | III |\n",
       "| NPC0001PT00370T00370 | 26.90000 | 0 | IV  |\n",
       "| NPC0001PT00312T00312 |  6.01000 | 1 | III |\n",
       "| NPC0001PT00061T00061 | 40.06667 | 0 | IV  |\n",
       "| NPC0001PT00196T00196 | 34.50000 | 0 | III |\n",
       "\n"
      ],
      "text/plain": [
       "                     time     event clinical_stage\n",
       "NPC0001PT00004T00004 21.10000 0     IV            \n",
       "NPC0001PT00078T00078 21.39000 1     III           \n",
       "NPC0001PT00370T00370 26.90000 0     IV            \n",
       "NPC0001PT00312T00312  6.01000 1     III           \n",
       "NPC0001PT00061T00061 40.06667 0     IV            \n",
       "NPC0001PT00196T00196 34.50000 0     III           "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "Call:\n",
       "coxph(formula = Surv(time, event) ~ clinical_stage, data = info)\n",
       "\n",
       "                   coef exp(coef) se(coef)     z     p\n",
       "clinical_stageIV 0.5876    1.7996   0.5370 1.094 0.274\n",
       "\n",
       "Likelihood ratio test=1.18  on 1 df, p=0.2771\n",
       "n= 61, number of events= 14 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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if58mWn1sO9lH/Pfl3jhJ9fQ1sJdgBUSC4vlwvyvVxDVYW7KlHalcP2tg1+Wa6u\nunoXNx6C0jrdMrSiThR9aU5uavxR2PnT+aVBwTnXeq7LaJSN9WXEhtbDvRR9z7LFzkZJlmU3\nFKQKRqMxPDzcYDDk5eV5uxb8ynIsy9sleNPWqpra5dOVVavzC6zLd7Rt06NVoJeK8iE9Mr/r\neOq4My2Nev23rdt6rpJeZUZDxRW3VKK0K+fbu4trX6Zb6rQztKLvrUTn18RfWp0C6j0KpV+R\nUa8Pq6lx3A7q4j//VeEf0NBWztjB12l6JDrTrIXnvxbLpNfX+Pn/8kGWhdksyRadLJslySJJ\nti2rNTqh8+DfeCattkbzm7uWJVl2rRKlXTlsr5FlrSwLIWQhWSShdfq/52UhJCHc9WXaqVOI\n31QlC8ksCaXfnqLvTdGXZtJIzlRrkYTmt1+t0i/QWlXt0HX6+e0ayaSRqjU64afwXnmzSZjr\nnO9x+Hv47eAaSej0ygZFLXvfv/Pfs9TAeiEIdgCatVO/63fqd/1s18T8nNv7269Px/c62bd/\nncYe/fsuW4js365xuRKlXSlqb9sgLyHxZN/+1uWL7Tu2PXfauqbxh9D443JhaKXfg2tfmp1q\nf45PrLNJ6VE0dAiF9f3pWN3s39iMJedmm3bv0CQmafsNdGY93MuV71lv7w+dWbEAAAAqQbAD\nAABQCYIdAACAShDsAAAAVIJgBwAAoBI8x+5XPMeuWVPr4054jh0AOxo/KxbNjia+p9A0eGKO\nM3YAAAAqQbADAABQCYIdAACASvDmCcCn2d5Ac8xUs7WqqsDf3057AEBLxhk7AAAAlSDYAQAA\nqATBDgAAQCUIdgAAACpBsAMAAFAJgh0AAIBKEOwAAABUgmAHAACgEgQ7AAAAlSDYAQAAqATB\nDiqh6ZHo7RIAAPAygh0AAIBKEOwAAABUgmAHAACgEgQ7AAAAlfBasMvOzp42bVp0dHRAQED3\n7t3nzZtXXl5uf5d169ZJDTObzbUtExISrm4QHR3t4WMCAADwJp1XRs3Kyho2bJjRaExOTr7m\nmmvS09MXLFiwY8eOnTt3BgYGNrRX165dU1JS6qw8duxYRkbGyJEjtVqt7XqNRjN9+nTbNWFh\nYW48BAAAAF/jnWA3c+bMkpKS1atX33vvvUIIi8Vy9913f/jhh6+//vq8efMa2mvQoEGDBg2q\ns3LcuHFCiAcffLDOer1ev2bNGveWDbQEOWbL19Xm3jpNf73WtQZNzMl67DSzblwBBYQAACAA\nSURBVGqrkS5aZN85LgBwgRcuxR44cCAjI6NPnz7WVCeE0Gg0r732mkajWbFihSzLznf1008/\nbd++vW3bthMnTvRIrUDLc9Yi/6eq5ojJ4nKDJuZkPXaaWTcdNFl86rgAwAVeOGO3c+dOIcTY\nsWNtV8bGxiYlJR06dOjkyZPx8fFOdrVy5UqLxXLffff5+fnV2WSxWBYuXJidnR0YGJiUlDRp\n0qSIiAi31A8AAOCbvBDsTpw4IYS4Or3FxcUpCnYmk2nVqlWSJD3wwANXb62pqXnmmWdqPz72\n2GMrV66cMmVKnWZVVVXvv/++dbmiosL5owAAAPA1Xgh2RqNR1DeVITw8XAhRUlLiZD+bNm26\ncOHCTTfd1K1btzqbUlJS+vfvn5iYGBYWlpOTs3z58nfeeWf69OkdOnQYNmyYbcsrV65cfX8e\nAABAc+SdyRP1st5dJ0mSk+1XrFgh6ps2IYR4+umna5d79er11ltvhYWFLViw4OWXX64T7AIC\nAp588knrclVV1dKlS10rHgAAwOu8EOys5+qs5+1sNXQmr145OTlfffVVu3btJkyY4Ez7mTNn\nLliwICMjo876Vq1avfLKK7UFEOzQXHxWVPzVJY9Mfrqg8xP+gQcvX3mruP6bExw2aGJO1mOn\nmXVTXmWl0Oqa/rg0ktQrKHAEz2MC4A5eCHbWW+isd9rZOnXqlBAiLi7OmU5Wrlwpy/KMGTP0\ner0z7a3XeauqqpTVCviqKxbLFYsb5m/+HBhU4Bdw9fqf9H4/6evOSbLfIMhs6nG57n+wuZ3L\nBTtsVqjV1dugCY4rraQmoVVgtBP1A4B9XnjcyY033iiE2LZtm+3Kc+fO/fDDD7Gxsc4Eu5qa\nmtWrVzc0baJeu3fvFkJ07dpVeb2Ar2jn56dz9lYFZ2lkoZMttv+nlWUhhEaWrR81QgghCyFL\nQq63gc2OTfGgEIcF15ZdW3CdZv87Ijtk20NumuMqN/OYFQBu4IUzdtdee+3111+fkZGRmpp6\nzz33CCEsFsucOXMsFstDDz1ke4/dmjVrSkpKpk6dGhUVZdvDJ598UlBQMHr06C5dulzd/759\n+/z9/ZOSkmrXZGZmPvzww0KIOu+iAJqXCL3uGUPHd0ovK3naowM9hSxMvzmTnafRpmn9EmRz\nP3NNvbvYa9Cqldsqa4ALBddtZqrbzLqpg2w5I2l6WkxNdlyXzeafuYwAwK28M3nivffeGzp0\n6H333bdx48YuXbqkp6fv379/wIABjz32mG2zl156KTs7e+jQoXWCnZ1pE0KI3bt3P/HEE127\ndu3SpUtoaGhubu6hQ4dkWb7lllv+9Kc/ee6ggCbQLyT4dj9/jw6RXmNOu1IVFxg4KTDUtQZN\nzMl67DSzbor28ztTY2rK4/qxovKDgotNMxaAFsILl2KFEImJifv377/zzjv37NnzzjvvXLp0\nae7cuTt27LDzothap06d2rVrV0xMzPjx4+tt8Pvf//6BBx5o1arVgQMHNm/efPr06Ztuumnt\n2rX/+c9/nLwhDwAAoDny2uNOunbt+sEHH9hv8+OPP169snv37ha794z37dt35cqVjSoOAACg\nGfLOGTsAAAC4nQ89oBhoJE2PRG+X0BSkomLPDmAsFVfOSiGhUkyUiw2a2G/rkU//5O2CAMBr\nCHYAfmN4WOjw3vZmDzhs0MScrGeYXjssvP7JrTabeJIcgOaNS7EAAAAqQbADAABQCYIdAACA\nShDsAAAAVIJgBwAAoBIEOwAAAJUg2AEAAKgEwQ4AAEAlCHYAAAAqQbADAABQCYIdAACAShDs\nAAAAVIJgBwAAoBIEOwAAAJUg2AEAAKgEwQ5oZpIjI7xdAgDARxHsAAAAVIJgBwAAoBIEOwAA\nAJUg2AEAAKgEwQ4AAEAlCHYAAAAqQbADAABQCYIdAACAShDsAAAAVIJgBwAAoBIEOwAAAJUg\n2AEAAKgEwQ4AAEAlCHYAAAAqQbADAABQCZ23CwAAd5I6GrxdgrNKyy5nVlmsyxNiOkjBQd6t\nB82RJjLC2yXAt3DGDgAAQCUIdgAAACpBsAMAAFAJBcHObDZ7rg4AAAA0koJg16lTp3nz5uXm\n5nquGgAAALhMQbA7d+7cggULunbtOmrUqPXr11dXV3uuLAAAACilINht2rRp/PjxGo3myy+/\nvPPOO2NjYx9//PHjx497rjgAAAA4T0Gwu+WWWzZv3nz69GnrebvCwsLXX3+9R48ew4YNS01N\nraio8FyVAAAAcEjxrNiYmJi5c+eeOnVq586dU6dODQgI+Oabb1JSUtq3bz979uwffvjBE1UC\nAADAIRcfdyJJ0siRI//5z3+eO3fuzTff/N3vfldSUvL222/36dOnf//+77777pUrV9xbKAAA\nAOxr7HPsWrdu3bdv3z59+uh0v7ydLDMz8w9/+IPBYHj77bcbXR4AAACc5fq7YgsKClJTU997\n7z3r/AmtVjthwoQHHnggPz//73//e2Zm5uzZs81m85/+9Cf3VQsALVFOZeXXl0rb+ukuVpt6\nBwf2DwnxdkX1s9bpyxUCqqc42Fkslu3bt//jH//49NNPa2pqhBAdO3a8//7777///vbt21vb\nzJgxY926ddOnT1+2bBnBDgAa6UxV9SeFRf1DQvaVlQkR6bOxyVqnL1cIqJ6CYPfTTz+tWrVq\n9erVp0+fFkJotdrk5OQHH3xw3LhxGk3dS7p333334sWLjx496s5iAQAA0DAFwa5Lly6yLAsh\nYmNjZ86cef/993fs2NFO+/DwcJPJ1NgCAQAA4BwFwU6SpDFjxjz44IPJyclardZh+9TU1PLy\n8kbUBgAAAAUUBLvc3NxOnTo5315RYwAAADSSgmC3cOHCQYMGpaSkNNTgjTfeOHny5PLly91R\nGAC0IAt+OqOTGtxqkoUQ4sDly0KILUXFX1661FR1KWOt0+UKJUkkBLZ6vGNsK21jH8UFtFgK\ngt2KFSsqKyvtBLvNmzfv3r2bYAcASlVaLA7bmGVZCFEjyzVm2fMVua4xFe4ru/zVpZJb2kS4\ntySg5XDnfxVZLBZJavg/OQEANjr4+2n5K/Mqly1mb5cANGOuP6D4amfOnAnh2UUA4Jx2fn7P\nGzp9V1rq8OzW+eqaHy5faav3u1hT3TkgIKFVQFPUp5y1ThcqNMnyV5eMHqoKaFEcBLucnJyc\nnJzaj+fPn//qq6+ublZeXr5jx47c3NzBgwe7uUAAUK++IUF9Q4IcNkszlv5w+UrnAP+LNdV9\ng4NmxEQ1QW0usNbpQoUVFgvBDnALB8EuNTX1r3/9a+3HL7744osvvrDTfvbs2e6pCwAAAAo5\nCHZRUVG9evWyLh89ejQ8PDw2NrZOG0mSWrVq1b179+nTp48ePdojZQIAAMARB8Fu1qxZs2bN\nsi5LkjRhwoQ1a9Z4vCgAAAAop2DyxOrVq7t16+a5UgAAANAYCoLdvffe67EyAAANGh4WOrx3\nqLercKy51AmomL1gt2XLFiFEhw4d+vTpU/vRoeTkZLdUBgAAAEXsBbvx48cLIaZNm7Zu3bra\njw7Jsk8/Eh0AAECt7AW76667TghxzTXX2H4EAACAb7IX7DIzM+18BAAAgE9x57tiAQAA4EUE\nOwAAAJVwPCtWKWbFAgAAeIXjWbFKMSsWAADAKxzPigUAAECzoGBWLAAAAHwZkycAAABUgmAH\nAACgErwrFgAAQCV4VywAAIBK8K5YAAAAleBdsQAAACrB5AkAAACVINgBAACohL1LsQ0xGo1p\naWnHjh0rKysLCQnp0aPH8OHDw8LC3F4cAAAAnKcs2FVUVDz//PNvv/12eXm57fqgoKDZs2e/\n8MILAQEBbi0PAAAAzlIQ7KqqqsaMGZOWliaEiIqKiouLa9euXX5+/smTJwsKChYtWpSRkbFt\n2zY/Pz+PVQsAAIAGKbjH7o033khLS2vbtu26devOnTuXnp6+YcOG9PT0s2fPrl27tk2bNrt2\n7VqyZInnagUAAIAdCoJdamqqEGLz5s3Tpk3TarW163U63d13371p06baNgAAAGh6CoJdbm5u\nQkLCwIED6906ePDg+Pj4nJwcNxUGAAAAZRQEu9DQUPtTX8PCwkJCQhpdEgAAAFyhINgNHTo0\nKyurrKys3q2lpaVZWVnDhg1zU2EAAABQRkGwe+6550wm0wMPPFBVVVVnU2Vl5cyZM81m87PP\nPuvW8gAAAOAse4872bt3b5018+fPf+aZZ3bv3v3ggw/27NnT+riTo0ePrlixoqioaMGCBZWV\nlZ6sFgAAAA2SZFlucJskudCjnQ59nNFoDA8PNxgMeXl53q4FsGdLUbG3SwDcqcJimXz0hHV5\nSrs2U6PaereeZiQ5MsLbJcC32DtjZzAYmqwOAAAANJK9YMeJKwAAgGZEweQJAAAA+DKCHQAA\ngErYuxRrR2FhYVFRUU1NzdWbEhMTG1cSAAAAXKEs2FVWVr788str1qz5+eefG2rTfGfFAgAA\nNGsKgl1VVdXIkSOtD7fT6/U1NTWtW7cuLS01m81CCJ1OZ/+FYwAAAPAoBffYLVu2bO/evSNG\njDh//vzkyZOFEMXFxRUVFd98880tt9wiy/Jzzz1XWFjosVIBAABgj4Jgt379ekmS/vGPf0RH\nR9eu1Ov1Q4YM2bRp06xZsx599NEvv/zSA0UCAADAMQXB7tixYwaDoWvXruJ/L6WwXoS1WrRo\nUXBw8JIlS9xeIgAAAJyhINhVVVW1bfvLa178/f2FECUlJbVbAwMDe/bsmZmZ6d76AAAA4CQF\nwS46OvrSpUvW5ZiYGCHEsWPHbBtcvHjRaDS6sTgAAAA4T8Gs2K5du2ZkZFgsFo1GM2DAACHE\nsmXLBg8erNFohBCffvppTk5Ot27dPFUpgP/htd9qsqWo2NslAFAPBcFu1KhRu3bt+u6774YM\nGTJq1CiDwfDxxx/n5uYOHTr03LlzGzZsEEJMmzbNY6UCAADAHgXB7rbbbsvMzDx79qwQws/P\n76OPPho3blxGRkZGRoa1wZgxY+bOneuRMgEAAOCIgmAXFxdnPS1nNXDgwFOnTq1fv/7EiRP+\n/v433HDD2LFjrbNlAQAA0PRcfFesVWRk5B//+Ed3lQIAAIDGUDArFgAAAL7MlTN2RqMxLS3t\n2LFjZWVlISEhPXr0GD58OC+KBQAA8C5lwa6iouL5559/++23y8vLbdcHBQXNnj37hRdeCAgI\ncGt5AAAAcJaCYFdVVTVmzJi0tDQhRFRUVFxcXLt27fLz80+ePFlQULBo0aKMjIxt27b5+fl5\nrFoAAAA0SME9dm+88UZaWlrbtm3XrVt37ty59PT0DRs2pKennz17du3atW3atNm1axfvigUA\nAPAWBcEuNTVVCLF58+Zp06Zptdra9Tqd7u677960aVNtGwAAADQ9BcEuNzc3ISFh4MCB9W4d\nPHhwfHx8Tk6OmwoDAACAMgqCXWhoqP2pr2FhYSEhIY0uCQAAAK5QEOyGDh2alZVVVlZW79bS\n0tKsrKxhw4a5qTAAAAAooyDYPffccyaT6YEHHqiqqqqzqbKycubMmWaz+dlnn3VreQAAAHCW\nvced7N27t86a+fPnP/PMM7t3737wwQd79uxpfdzJ0aNHV6xYUVRUtGDBgsrKSk9WCwAAgAZJ\nsiw3uE2SXOjRToc+zmg0hoeHGwyGvLw8b9cCoKXYUlTs7RK8r8JimXz0hHV5Srs2U6Paeree\nZiQ5MsLbJcC32DtjZzAYmqwOAAAANJK9YMeJKwAAgGZEweQJAAAA+DKCHQAAgEooDnbW2a+D\nBw+OiIjQ6/URERFDhgxZuHBhcTH3/wIAAHiTvXvsrvbNN9/cfvvtBQUFtWsuXbq0Z8+ePXv2\nvPXWWxs3bhw0aJC7KwQAAIBTFAS7M2fOjB8/vqSkJDIy8g9/+EPv3r1jYmLOnz+flZW1YsWK\nCxcu3HzzzVlZWe3bt/dcuQAAAGiIgmD36quvlpSUjBs37uOPPw4ODrbd9PTTT0+ePPnzzz9/\n9dVXly5d6u4iAQAA4JiCe+w+//xzPz+/999/v06qE0IEBwenpqb6+fl99tlnbi0PAAAAzlIQ\n7E6fPp2YmNimTZt6t7Zp06ZXr16nT592U2EAAABQRkGw0+v15eXldhqUl5f7+fk1uiQAAAC4\nQkGwi4+PP378+A8//FDv1h9++OHEiRPx8fFuKgwAAADKKAh2d955pxBi4sSJ6enpdTalp6dP\nnDixtg0AAACanoJZsQ8//PC6desOHz48fPjwfv36JSYmRkdHX7hwISsrKzMzUwjRt2/fhx9+\n2GOlAgAAwB4Fwa5Vq1ZffPFFSkrK9u3bMzMzrWGu1rhx49asWRMQEODuCgEAAOAUZW+eaNeu\n3bZt2/bt27d169YTJ06UlZWFhIQkJCTcfPPN/fr181CJAAAAcIaCYDd79myLxTJ//vz+/fv3\n79/fczUBAADABQomTyxfvnz9+vUNPccOAAAA3qXgjF27du0kSfJcKQAAAGgMBWfsRo4cee7c\nOd4tAQAA4JsUBLt58+a1atXqkUceqaqq8lxBAAAAcI2CS7ElJSULFy6cM2dOt27dZs2alZCQ\nEB0dffXF2YEDB7q1QgAAADhFQbAbNGiQdeHMmTNz585tqJksy40tCgAAAMopuBRrcI6TvWVn\nZ0+bNi06OjogIKB79+7z5s0rLy93uFdCQoJ0lejoaHf1DwAA0HwpOGOXl5fnrlGzsrKGDRtm\nNBqTk5Ovueaa9PT0BQsW7NixY+fOnYGBgfb31Wg006dPt10TFhbmxv4BAACaKWVvnnCXmTNn\nlpSUrF69+t577xVCWCyWu++++8MPP3z99dfnzZtnf1+9Xr9mzRrP9Q8AANBMKbgU6y4HDhzI\nyMjo06ePNXUJITQazWuvvabRaFasWNH4W/Q83T8AAIBvcuWMndFoTEtLO3bsmPVdsT169Bg+\nfPjV10MbsnPnTiHE2LFjbVfGxsYmJSUdOnTo5MmT8fHxdna3WCwLFy7Mzs4ODAxMSkqaNGlS\nRESEG/sHAABoppQFu4qKiueff/7tt9+uMxEhKCho9uzZL7zwQkBAgMNOTpw4IYS4Ol3FxcU5\nE7xqamqeeeaZ2o+PPfbYypUrp0yZ4lr/Foul9t7BsrIyh8UDAAD4LAXBrqqqasyYMWlpaUKI\nqKiouLi4du3a5efnnzx5sqCgYNGiRRkZGdu2bfPz87Pfj9FoFPXNeAgPDxdClJSU2Nk3JSWl\nf//+iYmJYWFhOTk5y5cvf+edd6ZPn96hQ4dhw4a50H9JSUnXrl0dHToAwLfkVFZ+fam0d3Bg\n/5AQb9finWKsgwohkiMjHDZGy6Eg2L3xxhtpaWlt27ZdsmTJXXfdpdVqretNJtNHH3305z//\nedeuXUuWLHnyySddK8V695v919E+/fTTtcu9evV66623wsLCFixY8PLLL9cGO0X963S66667\nzrpsNpsPHTrkWvEAgKZ0pqr6k8IiISJ9Idh5pRjroNcEBhDsYEvB5InU1FQhxObNm6dNm1ab\n6oQQOp3u7rvv3rRpU20b+6zn0qzn1Ww1dKbNvpkzZwohMjIyXOs/NDQ083++/vprRUMDAAD4\nFAXBLjc3NyEhoaE3hg0ePDg+Pj4nJ8dhP9Zb3Kx3wtk6deqUECIuLs75ksT/LrDavr7Wvf0D\nAAA0FwqCXWhoqP3TaWFhYSFOnIW+8cYbhRDbtm2zXXnu3LkffvghNjZWafDavXu3EML2Pjn3\n9g8AANBcKAh2Q4cOzcrKamjqaGlpqfV9Dw77ufbaa6+//vqDBw/WXre1WCxz5syxWCwPPfSQ\n7T1wa9asWbp0aUFBgfXjvn37Dh8+bNtVZmbmww8/LISwfReF8/0DAACoieT8A3sPHTo0cODA\nW2+99f333/f397fdVFlZOX369E8//XTv3r19+vRx2FVWVtbQoUPLysrGjx/fpUuX9PT0/fv3\nDxgwYNeuXbav/OrWrVt2dva+ffv69esnhFi8ePETTzzRtWvXLl26hIaG5ubmHjp0SJblW265\nZcOGDXq9Xmn/dRiNxvDwcIPB4MaXpwGAfVuKir1dgvdVWCyTj/5y/0yEThehdzyx77LZcqG6\nOlyna+NEY0/zSjHWQR/rGLu4a+cmGxS+T0Gw27t3b1pa2jPPPNOmTZsHH3ywZ8+e1sedHD16\ndMWKFUVFRQsWLBg+fHidvRq6Jy87O/vZZ5/96quvjEZjhw4d7rrrrrlz5wYFBdm2qRPsDh48\n+Pe//33v3r1nz54tLS0NDw/v27fvPffcM23atKvPwznTfx0EOwBNj2Anfhvs0EgDQkP2Xpvk\n7SrgNQqCnWsXMZvRK7wIdgCaHsFOCCHLYtrxE2Umi7cLaX4CNZpW2t/cVdUvJHhbUi9v1QOv\nU3DS2GAweK4OAECLJUniqU4d/lVQdNlsdnIXLsVaB50VG8OlWNhS8BPkPBYAwEOSgoKSuti7\nW6aONGPpaz+fHRkeNiMmynNV+XIx1kGbbDg0FwpmxQIAAMCXEewAAABUgmAHAACgEgQ7AAAA\nlVDwuBPV43EnAJoejztBYyRHRni7BPgWztgBAACoBMEOAABAJQh2AAAAKkGwAwAAUAl7b57Y\nsmWLCz0mJye7WgwAAABcZy/YjR8/3oUemWYLAADgFfaC3XXXXddkdQAAAKCR7AW7zMzMJqsD\nAAAAjcTkCQAAAJUg2AEAAKiEvUuxdhQWFhYVFdXU1Fy9KTExsXElAQAAwBXKgl1lZeXLL7+8\nZs2an3/+uaE2zIoFAADwCgXBrqqqauTIkXv37hVC6PX6mpqa1q1bl5aWms1mIYROpwsLC/NU\nmQAAAHBEwT12y5Yt27t374gRI86fPz958mQhRHFxcUVFxTfffHPLLbfIsvzcc88VFhZ6rFQA\nAADYoyDYrV+/XpKkf/zjH9HR0bUr9Xr9kCFDNm3aNGvWrEcfffTLL7/0QJEAAABwTEGwO3bs\nmMFg6Nq1qxBCkiQhhPUirNWiRYuCg4OXLFni9hIBAADgDGX32LVt29a67O/vL4QoKSmJjIy0\nrgkMDOzZsyfPNAYARZIjI7xdgg/ZUlTs7RKA5k3BGbvo6OhLly5Zl2NiYoQQx44ds21w8eJF\no9HoxuIAAADgPAXBrmvXrufPn7dYLEKIAQMGCCGWLVtm/SiE+PTTT3Nycjp16uSJKgEAAOCQ\ngkuxo0aN2rVr13fffTdkyJBRo0YZDIaPP/44Nzd36NCh586d27BhgxBi2rRpHisVAAAA9igI\ndrfddltmZubZs2eFEH5+fh999NG4ceMyMjIyMjKsDcaMGTN37lyPlAkAAABHpMa8KKKoqGj9\n+vUnTpzw9/e/4YYbxo4da50t20wZjcbw8HCDwZCXl+ftWgCgJWLyhFJMvkEdLr4r1ioyMvKP\nf/yju0oBAABAYyiYPGEymTxXBwAAABpJQbDr0KHDX/7yl0OHDnmuGgAAALhMQbDLz89fsmRJ\n3759k5KSFi9efP78ec+VBQAAAKUUBLstW7ZMnjw5ICDgyJEjTzzxRMeOHceOHfvhhx9WVFR4\nrj4AAAA4SfGs2NLS0vXr169duzY9Pd26b2ho6KRJk+65557hw4czKxYA4DJmxSrFrFjU4frj\nTvLy8tatW7d27dqTJ09a13Tu3Hn69Onz5893X3lNimAHAN5FsFOKYIc6GvUcO6vvv/8+NTX1\n448/LioqEkI0vkNvIdgBgHcR7JQi2KEOBffYNSQhIaFv375xcXGN7woAAAAuc/0BxSaTafv2\n7ampqZs3b66srBRC6HS60aNHu682AAAAKOBKsNu/f//atWs//PDDgoIC65o+ffqkpKRMnTo1\nKirKreUBAADAWQqC3ZkzZ6yzJf773/9a18TExEydOjUlJaV3796eKQ8AAADOUhDsDAaDxWIR\nQgQGBk6YMOGee+4ZNWqUVqv1WG0AAABQQEGwk2V56NChKSkpkydPDg0N9VxNAAAAcIGCYJed\nnd2lSxfPlQIAAIDGUPC4E1IdAACAL7N3xm7Lli1CiA4dOvTp06f2o0PJycluqQwAAACK2At2\n48ePF0JMmzZt3bp1tR8dar5vngAAAGjW7AW76667TghxzTXX2H4EAACAb7IX7DIzM+18BAAA\ngE9xw7tiAQAA4AsUBDuTyeS5OgAAANBICoJdhw4d/vKXvxw6dMhz1QAAAMBlCoJdfn7+kiVL\n+vbtm5SUtHjx4vPnz3uuLAAAACilINht2bJl8uTJAQEBR44ceeKJJzp27Dh27NgPP/ywoqLC\nc/UBAADASZLSx86VlpauX79+7dq16enp1n1DQ0MnTZp0zz33DB8+XJIkz9TZFIxGY3h4uMFg\nyMvL83YtANASbSkq9nYJzUxyZIS3S4BvURzsauXl5a1bt27t2rUnT560runcufP06dPnz5/v\nvvKaFMEOALyLYKcUwQ51uB7san3//fepqakff/xxUVGRaM5vniDYAYB3EeyUItihDjc8xy4h\nIaFv375xcXGN7woAAAAus/fmCftMJtP27dtTU1M3b95cWVkphNDpdKNHj3ZfbQAAAFDAlWC3\nf//+tWvXfvjhhwUFBdY1ffr0SUlJmTp1alRUlFvLAwAAgLMUBLszZ85YZ0v897//ta6JiYmZ\nOnVqSkpK7969PVMeAAAAnKUg2BkMBovFIoQIDAycMGHCPffcM2rUKK1W67HaAAAAoICCYCfL\n8tChQ1NSUiZPnhwaGuq5mgAAAOACBcEuOzu7S5cunisFAAAAjaHgcSevv/76rFmzCgsLPVcN\nAAAAXKYg2C1fvnz9+vVt2rTxXDUAAABwmYJLse3atWvWr4IFAABQNwVn7EaOHHnu3LnTp097\nrhoAAAC4TEGwmzdvXqtWrR555JGqqirPFQQAAADXKLgUW1JSsnDhwjlz5nTr1m3WrFkJCQnR\n0dFXX5wdOHCgWysEAACAUyRZlp1t6twNds536GuMRmN4eLjBYMjLy/N2TfJVggAAIABJREFU\nLQDQEm0pKvZ2Cc1McmSEt0uAb1H25gnP1QEAAIBGUhDsOI8FAADgyxRMngAAAIAvI9gBAACo\nBMEOAABAJRTcYzdp0iRnmm3YsMHVYgAAAOA6BcHu3//+t+fqAAAAQCMpCHZvvfXW1SvLyspO\nnDixYcMGs9n89NNPR0TwQB0AAADvUPCAYjvOnj172223lZaWZmRkhISENL5Dr+ABxQDgXTyg\nWCkeUIw63DN5IjY2NjU19fjx4/Pnz3dLhwAAAFDKbbNi4+PjO3fuzH14AAAA3qLgHjuHTCZT\nQUGBGzsEAACA89x2xm7//v1nzpyJjIx0V4cAAABQRMEZu8LCwqtXWiyW/Pz89PT0l156SQgx\nduxYt5UGAAAAJRQEu7Zt29pv0Llz5xdffLFx9QAAAMBFbrgU6+/vn5iYOHfu3AMHDrRv377x\nHQIAAMAFCs7Y1dTUXL1SkiStVuu+egAAAOAiBcFOp3PnFFoAAAC4l9tmxQIAAMC7GnUSbu/e\nvd98801VVVVcXNy4ceOCgoLcVRYAAACUchDszp8//9577wUEBDz++OO266uqqqZMmfLJJ5/U\nromNjd24ceP111/vkTIBAADgiINLsVu3bn322WcPHjxYZ/2cOXOsqU6j0URERAghzp49O378\neKPR6KFCAQAAYJ+DYPf1118LISZPnmy78sKFC3//+9+FENOnTy8pKSkqKtq3b19MTExBQcG7\n777rsVIBAABgj4Ngd/jwYUmSRowYYbvyk08+qampiY2NXblyZUhIiBCiX79+CxYsEEJ89tln\nHisVAAAA9jgIdvn5+VFRUWFhYbYrv/nmGyHErbfeGhAQULvyrrvukiTp2LFjnqgSAAAADjkI\ndsXFxVc/vm7//v1CiDqn8QIDA9u0aVNcXOzW8gAAAOAsB8EuKCgoPz/fYrHUrjEajSdPnhRC\n9O/fv05jnU4nSZLbSwQAAIAzHAS7+Ph4k8m0bdu22jVffPGFLMuxsbEGg8G2ZXV1dWFhYVRU\nlEfKBAAAgCMOgt3NN98shHjyySfPnDkjhLhw4cKLL74ohLj11lvrtNy/f39NTU2PHj08UycA\nAAAccBDsZs+eHRUVlZWV1aVLl86dO3fs2PHIkSP+/v6PPvponZYbN24UQgwePNhDhQIAAMA+\nB8EuIiLis88+69ixo8lk+umnn0wmU0BAwKpVq7p162bbrKKiIjU1VQgxbtw4DxYLAACAhjl+\nV+x111134sSJL774IicnJzw8fMyYMTExMXXaFBUVLViwQKvVXj2jAgAAAE1DkmXZ2zX4CqPR\nGB4ebjAY8vLyvF0LALREW4p4ZpYyyZER3i4BvsXBpVgAAAA0FwQ7AAAAlSDYAQAAqATBDgAA\nQCUIdgAAACpBsAMAAFAJgh0AAIBKEOwAAABUgmAHAACgEgQ7AAAAlSDYAQAAqATBDgAAQCUI\ndgAAACpBsAMAAFAJgh0AAIBKEOwAAABUgmAHAACgEgQ7AAAAlSDYAQAAqATBDgAAQCUIdgAA\nACpBsAMAAFAJgh0AAIBKEOwAAABUgmAHAACgEgQ7AAAAlSDYAQD+f3v3HhdVnf9x/DPDHYUZ\nrYwAIUABS4hQ0R6r/azsYa7iQ7MWkcVLRtm6PTYvsaviI6nVLmq6a2GlK2RW5pqtl1a2EjPL\nNQ0SpRKRpLxkmMrEyCVg5vfHadlZ5OaFOcy31/Ovme/5nnO+5/HJfPs93zkHgCIIdgAAAIog\n2AEAACiCYAcAAKAIgh0AAIAiCHYAAACKINgBAAAogmAHAACgCIIdAACAIgh2AAAAiiDYAQAA\nKIJgBwAAoAiCHQAAgCJ0C3alpaUpKSkBAQHe3t69e/fOyMioqqpqfRer1frWW28lJyf36dPH\n19fXZDINHjx49erVNputSc/o6GjDRQICAjrsagAAAPTnrstZi4qKhgwZYrFYRo0aFR4evnv3\n7oULF+7YsSMvL8/Hx6elvVavXj1jxgxPT8/4+PiYmJjvv/9+z549n3zyydatW9955x2j8X9C\nqtFoTE1NdWwxmUwddT0AAACdgD7BburUqRUVFdnZ2ZMnTxYRm83229/+9s0331y6dGlGRkZL\ne/Xs2TMrK2vChAmNEe3LL7+84447tmzZos3kOXb28PDIycnpwGsAAADoZHS4FVtQULBv3764\nuDgt1YmI0WhcvHix0Wh8+eWX7XZ7SzuOGzfukUcecZx4u+mmm2bMmCEiu3bt6uBRAwAAdHY6\nzNjl5eWJyIgRIxwbg4KCYmNjDxw4cOTIkaioqPYfTct5Xl5eTdptNtuiRYtKS0t9fHxiY2Pv\nu+++7t27X/HYAQAAOi8dgl1xcbGIXJzeIiMjLzXY2e32tWvXikhiYmKTTXV1dfPmzWv8OmvW\nrFdeeaXJ7VoAAACV6BDsLBaLNPdTBrPZLCIVFRXtP1RmZubevXvvvffeYcOGObZPmjRpwIAB\nffv2NZlMX3/99UsvvZSVlZWamhocHDxkyBDHnj/++OOdd96pfW5oaLiMywEAAOgk9PnxRLO0\n1XUGg6Gd/V944YXMzMz4+Pjs7Owmm+bMmdP4+eabb16xYoXJZFq4cOHTTz/dJNjV19fn5+df\n2cABAAA6BR2CnTZXp83bOWppJq9ZS5cunT17dr9+/d5//31/f/82+0+dOnXhwoX79u1r0m42\nm0tLS7XPlZWVcXFx7Tk7AKAjjLqGxdDAFdEh2GlL6LSVdo5KSkpEJDIyss0jLFiwIDMz87bb\nbtu+fXs7g6B2n7e2trZJu9FoDA8P1z5fnDUBAABciA6PO9HWtOXm5jo2njp1qrCwMCgoqM1g\nN3PmzMzMzKFDh7733nvtf+aw9jyUiIiIyxoyAACAC9Ah2MXHxyckJHz++efaD1pFxGazpaen\n22y2adOmOa6xy8nJWb58eXl5eWO3hx56aNmyZcOHD//nP//ZtWvXZo+/f//+gwcPOrZ89tln\n06dPF5Em76IAAABQiaGVBwJ3nKKiosGDB1dWViYmJoaFhe3evTs/P3/gwIE7d+50fKVYr169\nSktL9+/f379/fxFZvHhxenq60WhMSkry9PR0PGBMTMysWbO0z0uWLHn88ccjIiLCwsL8/f2P\nHTt24MABu90+evTojRs3enh4tDQqi8ViNptDQ0PLyso65LIBAAA6kj6/iu3bt29+fv78+fM/\n+OCD7du3BwcHz507d+7cua28KFZEzp49KyI2m+3NN99ssmn48OGNwe6uu+5KS0vbu3dvQUHB\njz/+aDabhw0bNnHixJSUlPb/5BYAAMDl6DNj1zkxYwcAAFyaDmvsAAAA0BEIdgAAAIog2AEA\nACiCYAcAAKAIgh0AAIAiCHYAAACKINgBAAAogmAHAACgCIIdAACAIgh2AAAAiiDYAQAAKIJg\nBwAAoAiCHQAAgCIIdgAAAIog2AEAACiCYIer4Isvvpg4cWJwcLCXl1dgYOD48eMLCgrav/vx\n48eXLVs2cuTI4OBgT09PPz+/uLi4OXPmfPfdd016VlRUGNpisViu6sUBAOAyDHa7Xe8xdBYW\ni8VsNoeGhpaVlek9FleyZcuW3/zmN7W1tb6+vj179jx58qTVanV3d8/JyUlJSWlz97KysvDw\n8Mb/Drt27XrhwgXtq9ls3rRp0x133NHY+ccffwwPD2/2OBaLpb6+PjIysri4+GpcFgAArocZ\nO1yR48ePJycn19bWTp48+fTp04cPHy4vL3/sscfq6+unTJnSnoxVX1/v7u4+YcKErVu3nj9/\nvrKy8sKFC5s2berZs2dFRcW4ceN++OGHxs7+/v4/NOf48eNdunQRkalTp3bg1QIA0LkR7HBF\nFi5cWFVVFRMTs2rVKj8/PxHx8fF5/vnnb7/99rq6uszMzDaPcP3115eWlr7++uujRo0ym83a\nEcaOHbtt2zY3N7fz58+vX7++zYNs2LDBYrF4eHhMmjTpyi8KAAAXRbBzDdHR0QaDYdu2baWl\npZMmTQoMDPTy8goPD589e3ZFRYVeo2poaNi4caOIPPLII+7u7o3tBoNh+vTpIrJ58+aqqqrW\nD+Ln59ezZ8+L22NjY2+66SYRac+03+rVq0UkMTHx+uuvv5QrAABAKQQ7V3Lw4MH4+Pj169cH\nBQVFR0d/8803S5cuHTBgwKlTp3QZT3Fx8dmzZ0Vk6NChTTZpC+OqqqoKCwuv8Cxdu3Ztcxgf\nf/yxiDz44INXeC4AAFwawc6VPPHEEwMGDPj222/3799fWFj41Vdf9enT5+jRo5MnT27P7suX\nLw9ot82bN7d5wMOHD4uI0WiMiIhosum6664zmUyNfS7DwYMHDx06JCLDhg1rvac2XdezZ8/h\nw4df3rkAAFCDe9td0Gl4eXm99dZb11xzjfY1MjLyjTfeuPXWW99///29e/cOGjSo9d2tVuv3\n33/fznNVV1e32efcuXMi4ufn5+npefHW7t27WyyW8+fPt/OMjn766aeHHnpIRG6//fa77rqr\nlZ51dXVr164VkQceeMBo5B8qAIBfNP4idCUTJ05sTHWauLg47Tbotm3b2tw9IyPD3m7jx49v\n84Ba+Gs21YmIt7e3iLS5xu5idrv9wQcf/PTTT7t37/7aa6+13nnz5s3l5eVGo/GBBx641BMB\nAKAYgp0r6du3b0uNX375pdOHIz4+PiLy008/Nbu1pqZGRHx9fS/pmHa7ffr06a+99pq/v//2\n7dtDQkJa76/dh7377rvb7AkAgPIIdq6k2Z98ao2VlZVOH45069ZNO3Wz2U67Uav1aSe73f7I\nI4+sXLnSz88vNzc3ISGh9f7ffvvt+++/LyJpaWmXMG4AABTFGjtX0uwKOa1Re4Zc655//vlF\nixa181yrVq0aO3Zs632io6NFxGazlZaW9unTx3HTmTNntFd7aX3aw2azpaWlrVmzxt/fPzc3\n97bbbmtzl7/97W82m61Hjx6jR49u51kAAFAYwc6VfPHFFy01ao98a11VVZX2dJL2qK2tbbNP\ndHT0Nddcc/bs2V27djUJdjt37hQRX1/fW265pT2na2homDx58rp160wmU25ubps/BBERm82W\nnZ0tIhMnTvTw8GjPWQAAUBu3Yl3J2rVrtfubjQoLC7UINXLkyDZ3v+o/nnBzcxs3bpyIZGVl\n1dfXO2568cUXRSQxMbE9a+zq6+snTJiwbt06s9n83nvvtSfVici//vWv48ePC4+vAwDgPwh2\nrqSmpmb8+PFnzpzRvh49ejQlJUVE7rrrrvbcuOwIc+fO9fHxOXToUFpamtVqFZHq6uqZM2d+\n9NFHHh4eTzzxhGPnlStX3njjjb169XJs1FLdhg0bunXr9sEHH7S5rq7RqlWrRGTIkCFRUVFX\n6WoAAHBt3Ip1JQsWLHj22WeDg4NjY2Pr6uoOHTpks9kiIiJeffVVvYYUGhr6+uuvjx8/Picn\nZ8OGDSEhISdPnqysrHRzc1u9enWT+7MWi+Wbb75xc3NzbNy1a9ff//53Eamurm72CcPDhw9/\n/fXXmzSWl5drT3hhug4AgEbM2LmSW265JT8///777z9x4sRXX30VEhIyc+bM/fv3BwUF6Tiq\nsWPH5ufnp6SkmM3mr7/+ukuXLvfff/+nn346ceLE9uxut9u1DzU1NWebo/0Io4mcnJy6ujqT\nyXT//fdfzYsBAMCVGRr/WoXFYjGbzaGhoWVlZXqPpano6Oji4uKtW7eOGjVK77EAAIBOihk7\nAAAARRDsAAAAFEGwAwAAUATBDgAAQBE87sQ1HD58WO8hAACAzo4ZOwAAAEUQ7AAAABRBsAMA\nAFAEwQ4AAEARBDsAAABFEOwAAAAUQbADAABQBMEOAABAEQQ7AAAARRDsAAAAFEGwAwAAUATB\nDgAAQBEEOwAAAEUQ7AAAABRBsAMAAFAEwQ4AAEARBDsAAABFEOwAAAAUQbADAABQBMEOAABA\nEQQ7AAAARRDsAAAAFEGwAwAAUATBDgAAQBEEOwAAAEUQ7AAAABRBsAMAAFAEwQ4AAEARBDsA\nAABFEOwAAAAUQbADAABQBMEOAABAEQQ7AAAARRDsAAAAFEGwAwAAUATBDgAAQBEEOwAAAEUQ\n7AAAABRBsAMAAFAEwQ4AAEARBDsAAABFEOwAAAAUQbADAABQBMEOAABAEQQ7AAAARRDsAAAA\nFEGwAwAAUATBDgAAQBEEOwAAAEUQ7AAAABRBsAMAAFAEwQ4AAEARBDsAAABFEOwAAAAUQbAD\nAABQBMEOAABAEQQ7AAAARRDsAAAAFEGwAwAAUATBDgAAQBEEOwAAAEUQ7AAAABRBsAMAAFAE\nwQ4AAEARBDsAAABFEOwAAAAUQbADAABQBMEOAABAEQQ7AAAARRDsAAAAFEGwAwAAUATBDgAA\nQBEEOwAAAEUQ7AAAABRBsAMAAFAEwQ4AAEARBDsAAABFEOwAAAAUQbADAABQBMEOAABAEQQ7\nAAAARRDsAAAAFEGwAwAAUATBDgAAQBEEOwAAAEUQ7AAAABRBsAMAAFAEwQ4AAEARBDsAAABF\nEOwAAAAUQbADAABQBMEOAABAEQQ7AAAARRDsAAAAFEGwAwAAUATBDgAAQBEEOwAAAEUQ7AAA\nABRBsAMAAFAEwQ4AAEARBDsAAABFEOwAAAAUQbADAABQBMEOAABAEQQ7AAAARegW7EpLS1NS\nUgICAry9vXv37p2RkVFVVXUVd7zs4wMAALgog91ud/5Zi4qKhgwZYrFYRo0aFR4evnv37oKC\ngkGDBuXl5fn4+Fz5jpd3fIvFYjabQ0NDy8rKruLFAgAAOIldDwkJCSKSnZ2tfW1oaEhOThaR\np5566qrseHnHr6ioEJHQ0NDLuCIAAADd6TBjV1BQ0K9fv7i4uM8//7yx8eTJkyEhIYGBgd9+\n+63BYLiSHS/7+MzYAQAAl6bDGru8vDwRGTFihGNjUFBQbGzsiRMnjhw5coU7XvbxAQAAXJoO\nwa64uFhEoqKimrRHRkaKSCvBq507XvbxAQAAXJq7809psVhExGQyNWk3m80ioi10u5IdL+n4\nVVVVTz75pPa5trb2ki4EAACgU9Eh2LVEW+3X0gK4K9+x2W41NTXPPvvspZ4RAACgE9Ih2Glz\nadq8mqOWZtoudcdLOn6XLl1efvll7XN1dfVjjz12SdcCAADQeegQ7LTVb9pKOEclJSXyn5Vw\nV7LjJR3fy8vroYce0j5bLBaCHQAAcF06/HjizjvvFJHc3FzHxlOnThUWFgYFBbUS7Nq542Uf\nHwAAwKXpEOzi4+MTEhI+//zztWvXai02my09Pd1ms02bNs1xDVxOTs7y5cvLy8svacf2Hx8A\nAEAlur1SbPDgwZWVlYmJiWFhYbt3787Pzx84cODOnTsdX/nVq1ev0tLS/fv39+/f/5J2bGe3\nJnhAMQAAcGk6zNiJSN++ffPz85OSkvbs2ZOVlXX+/Pm5c+fu2LGj9RfFtn/Hyz4+AACA69Jn\nxq5zYsYOAAC4NH1m7AAAAHDVEewAAAAUQbADAABQBMEOAABAEQQ7AAAARRDsAAAAFEGwAwAA\nUATBDgAAQBEEOwAAAEUQ7AAAABRBsAMAAFAEwQ4AAEARBDsAAABFEOwAAAAUQbADAABQBMEO\nAABAEQQ7AAAARRDsAAAAFEGwAwAAUATBDgAAQBEEOwAAAEUQ7AAAABRBsAMAAFCEu94D6HRO\nnjwZERGh9ygAAACaUVRU5OPj09JWg91ud+ZoOjO73V5SUhIVFaX3QAAAAJp34cIFX1/flrYS\n7P6HzWazWCwdeoq//vWvCxYsyMjImDlzZoeeCO107ty5Xr16hYWF5efn6z0W/Cw1NfXdd9/d\nsmXL4MGD9R4LRERyc3MnTJiQlJS0cuVKvceCn0VFRZ05c+b06dOenp56jwUiIk899dSyZcuW\nLFnywAMPdOiJzGazwWBoaSu3Yv+H0Wjs1q1bh55Cmz718fHp6BOhnWw2mzil9Gg/Dw8PEfHz\n86MonUTXrl1FxNPTk4p0Htpf7d26dSPYdRLe3t4i4uvrq+8fE348AQAAoAiCHQAAgCJYY+ds\nNTU11dXVPj4+2pwtdGe32ysqKoxGo8lk0nss+JnVaq2rq/Pz83N3Z7lIp1BXV2e1Wj09Pbt0\n6aL3WPCziooKu93OzfHOo7q6uqamxtfX18vLS8dhEOwAAAAUwa1YAAAARRDsAAAAFEGwc57S\n0tKUlJSAgABvb+/evXtnZGRUVVXpPahfik2bNj366KO/+tWvunbtajAYxo8f31JPyuQEVqv1\nrbfeSk5O7tOnj6+vr8lkGjx48OrVq7VHzzRBRZyjoaHhySefHDFiRGhoqK+vb/fu3W+99dbM\nzMxz585d3JmiON/WrVsNBoPBYMjIyLh4KxVxjujoaMNFAgICLu6pY0VYY+ckRUVFQ4YMsVgs\no0aNCg8P3717d0FBwaBBg/Ly8lp5MQiulv79++fn5/v7+wcEBBw5ciQpKWn9+vUXd6NMzrF8\n+fIZM2Z4enrGx8f37Nnz+++/37NnT319/ejRo9955x2j8b//4KQiTlNTU+Pj4xMQEBAZGdmj\nRw+r1Zqfn3/mzJnAwMA9e/aEhoY29qQoznfmzJmYmJgLFy5YrdZ58+b9+c9/dtxKRZwmOjq6\npKQkNTXVsdFkMv3lL39xbNG5InY4RUJCgohkZ2drXxsaGpKTk0Xkqaee0nVcvxQ7d+4sKSmx\n2Wxbt24VkaSkpGa7USbn2LhxY1ZWlvabPs0XX3zRo0cPEXnjjTcce1IRp7HZbGVlZY4ttbW1\nKSkpIpKWlubYTlGcb8yYMTfccMP8+fNFZN68eU22UhGniYqK8vLyarObvhUh2DmD9q6quLg4\nx8YTJ04Yjcbg4GCbzabXwH6BWgl2lElfTz/9tIg8/PDDjS1URHcffvihiAwdOrSxhaI435o1\na0Rk27Zty5YtuzjYURFnak+w070irLFzhry8PBEZMWKEY2NQUFBsbOyJEyeOHDmi07jwPyiT\nvrTnCDo+/4mK6O7tt98WkVtuuaWxhaI4WVlZ2R/+8IcpU6aMHDmy2Q5UxMlsNtuiRYumTp36\n+9///pVXXrl4EaruFSHYOUNxcbGIREVFNWmPjIwUEf7gdRKUSUd2u33t2rUikpiY2NhIRXTx\n2GOPTZs2LTk5uXfv3itWrIiNjZ03b17jVoriTDabbdKkSWazWZuraxYVcbK6urp58+atWbPm\nxRdffPjhh0NDQ998803HDrpXhKe6O4PFYpH/TEg4MpvNIlJRUaHDmHARyqSjzMzMvXv33nvv\nvcOGDWtspCK6WL169YULF7TP99xzT05OznXXXde4laI409KlSz/66KP33nuvlffiUBFnmjRp\n0oABA/r27Wsymb7++uuXXnopKysrNTU1ODh4yJAhWh/dK8KMnZ7sdruIGAwGvQeC1lCmjvbC\nCy9kZmbGx8dnZ2e3pz8V6VBWq9Vms3333Xfr16//6quv4uLiCgoK2tyLolx1hw4dmj9//rRp\n0+6+++7L2J2KdIQ5c+YMGzYsICDAx8fn5ptvXrFixZw5cxoaGrQlwq1zWkUIds6gJXctxTtq\nKddDF5RJF0uXLn300Uf79ev3wQcf+Pv7O26iInrRHs2VlJT07rvvnj59esqUKY2bKIpz2O32\n1NTUwMDAxYsXt96Tiuhr6tSpIrJv377GFt0rQrBzBu1eu3bf3VFJSYn85747dEeZnG/BggWz\nZ8++7bbbduzYcfG7zKmI7m6++eYbbrjh4MGD58+f11ooinM0NDQUFhYeO3bMz8+v8UG4M2bM\nEJGFCxcaDIYHH3xQ60lF9KXdYK2trW1s0b0iBDtnuPPOO0UkNzfXsfHUqVOFhYVBQUH8wesk\nKJOTzZw5MzMzc+jQoS0tIaIiuqusrCwvLxcRd/efF2RTFOcwGo1TLzJo0CARiYuLmzp1auOK\nLiqir127dolIREREY4v+Feno56lAoz2u8NVXX9W+NjQ0aE/+5AGSTtaeBxRTpo7W0NCQlpYm\nIsOHD6+qqmqlJxVxmn//+98HDhxwbPnhhx/GjBkjIrfffrtjO0XRS7PPsbNTEWfZt29fYWGh\nY8v+/fsDAwNFZMmSJY7t+laEV4o5SVFR0eDBgysrKxMTE8PCwnbv3p2fnz9w4MCdO3fyyhcn\n2LRp05YtW0TkxIkTO3bsuPHGG//v//5PRK699tolS5Y0dqNMzrF48eL09HSj0ZiUlOTp6em4\nKSYmZtasWY1fqYjTPPPMM3PmzAkPDw8LC+vWrdvp06fz8/Orq6tvuOGGvLy86Ojoxp4URS/a\nu/iafaUYFXGCJUuWPP744xEREWFhYf7+/seOHdP+LTR69OiNGzd6eHg09tS5Ik4Ij9AcPXo0\nOTn5uuuu8/T0DA8Pnzt3rtVq1XtQvxSOD+JyFBoa2qQnZXKCP/7xjy39H2n48OFNOlMR5/jy\nyy9nzZrVr1+/a6+91s3NzWQyJSQkLFiw4Ny5cxd3pii6aGnGzk5FnKKgoCAtLS0mJqZ79+7u\n7u7XXnvt3Xff/dprrzX7MgkdK8KMHQAAgCL48QQAAIAiCHYAAACKINgBAAAogmAHAACgCIId\nAACAIgh2AAAAiiDYAQAAKIJgBwAAoAiCHQBcjv79+xsMhm3btuk9EAD4L4IdAIiIVFRUGNrt\nH//4h97jBYBmuOs9AADoFIxG4zXXXNOk8ezZsyLi7+/v+IZvEfHy8vr1r38dHR0dHBzsvCEC\nQFt4VywANK+mpsbHx0dEtm/ffs899+g9HABoG7diAQAAFEGwA4DLcfGPJ2688UaDwbB3797i\n4uIJEyYEBAT4+vreeuut69at0zpYLJY//elPvXr18vb2DgkJSU9Pr66ubvbgmzdvTkxMDAgI\n8PT07NGjx5gxYz766CNnXBUAF0ewA4Cr6bPPPuvfv/+mTZvMZrObm9uBAwdSU1NXrFhRXl4+\naNCg5557zm63m83m48ePL168ePz48U12/+mnn5KSksaMGbNt27bDf06PAAACoklEQVS6urq+\nffvW19dv3rx56NChS5Ys0eWKALgQgh0AXE2zZ8+eMGFCeXn54cOHLRbLrFmzRGT+/PkpKSkm\nk6mkpKS0tPT06dPvvPOOm5vbli1bdu7c6bj7448/vmHDhpCQkO3bt589e7agoODcuXNr1qzx\n8vJKT09n3g5A6wh2AHA19enTZ+XKlf7+/iJiNBoXLVp0/fXXWyyWjz/+eMOGDREREVq3MWPG\njB07VkS2bt3auO+xY8defPFFd3f3t99+2/HnGlOmTJkzZ47dbn/uueecezUAXAzBDgCupocf\nftho/O//Wj09PePi4kRk5MiRISEhjj0HDhwoIkePHm1s2bRpU0NDw6BBg/r379/ksCkpKSLy\n4Ycf2my2jhs8AFfHc+wA4Grq1atXk5YePXq00m61WhtbCgsLReTMmTOTJ09u0ll7NNWFCxcq\nKiq6d+9+lQcNQBUEOwC4mrp27dqkRZvAa6ndcQbu/PnzIlJcXFxcXNzS8auqqgh2AFrCrVgA\n6Cy08Jeenm5vGe+6ANAKgh0AdBYxMTEi8vHHH+s9EACuimAHAJ3FuHHjjEbjnj17duzYofdY\nALgkgh0AdBZRUVHTp08Xkfvuu2/dunX19fWNm7777rusrKxnnnlGv9EBcAH8eAIAOpHnn3/e\narVmZ2enpqb+7ne/i4yMNBqNp06dOnnypIhMmjRJ7wEC6NQIdgDQibi7u69ZsyY1NXXVqlWf\nfPJJUVGRt7d3YGBgQkLCqFGjRo8erfcAAXRqBu3ZSAAAAHB1rLEDAABQBMEOAABAEQQ7AAAA\nRRDsAAAAFEGwAwAAUATBDgAAQBEEOwAAAEUQ7AAAABRBsAMAAFAEwQ4AAEARBDsAAABFEOwA\nAAAUQbADAABQBMEOAABAEf8PNAcjpIhzhc8AAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#install.packages(\"survminer\")\n",
    "#install.packages(\"survival\")\n",
    "\n",
    "library(survival)\n",
    "library(ggplot2)\n",
    "library(survminer)\n",
    "library(dplyr)\n",
    "\n",
    "#set time value to numeric \n",
    "info$time=as.numeric(as.character(info$time))\n",
    "\n",
    "#set status value to numeric\n",
    "a <- sub(\"Disease progression\",1,info$event)\n",
    "info$event <- as.numeric(as.character(sub(\"Last follow-up\",0,a)))\n",
    "head(info)\n",
    "\n",
    "coxph(Surv(time, event)~clinical_stage, data=info)\n",
    "fit <- survfit(Surv(time, event)~clinical_stage, data=info)\n",
    "ggsurvplot(fit, conf.int=TRUE, pval=TRUE)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Perform differential gene expression analysis using limma\n",
    "For gene length bias correction, is often included in the \"normalization\" term.  \n",
    "This expression value has normalization\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Loading required package: ggplot2\n",
      "\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 6 x 61</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>NPC0001PT00004T00004</th><th scope=col>NPC0001PT00078T00078</th><th scope=col>NPC0001PT00370T00370</th><th scope=col>NPC0001PT00312T00312</th><th scope=col>NPC0001PT00061T00061</th><th scope=col>NPC0001PT00196T00196</th><th scope=col>NPC0001PT00437T00437</th><th scope=col>NPC0001PT00048T00048</th><th scope=col>NPC0001PT00300T00300</th><th scope=col>NPC0001PT00263T00263</th><th scope=col>...</th><th scope=col>NPC0001PT00298T00298</th><th scope=col>NPC0001PT00056T00056</th><th scope=col>NPC0001PT00426T00426</th><th scope=col>NPC0001PT00296T00296</th><th scope=col>NPC0001PT00346T00346</th><th scope=col>NPC0001PT00027T00027</th><th scope=col>NPC0001PT00336T00336</th><th scope=col>NPC0001PT00357T00357</th><th scope=col>NPC0001PT00369T00369</th><th scope=col>NPC0001PT00221T00221</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>...</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>AF085995</th><td>-1.324</td><td>-1.228</td><td>-1.168</td><td> -0.541</td><td> -0.218</td><td> 0.161</td><td>-1.197</td><td>  0.035</td><td>-0.652</td><td>-0.534</td><td>...</td><td> -0.875</td><td>-0.370</td><td>-0.658</td><td>-0.270</td><td>-0.174</td><td>-0.816</td><td>-0.805</td><td>-0.981</td><td> -0.468</td><td>-2.354</td></tr>\n",
       "\t<tr><th scope=row>MTVR2</th><td>-3.297</td><td>-3.058</td><td>-3.817</td><td>-13.816</td><td>-13.816</td><td>-3.540</td><td>-3.037</td><td>-13.816</td><td>-3.101</td><td>-2.813</td><td>...</td><td>-13.816</td><td>-3.772</td><td>-3.730</td><td>-2.865</td><td>-3.101</td><td>-2.996</td><td>-3.863</td><td>-3.170</td><td>-13.816</td><td>-3.612</td></tr>\n",
       "\t<tr><th scope=row>ATRX</th><td> 2.232</td><td> 1.824</td><td> 1.979</td><td>  2.221</td><td>  2.429</td><td> 1.866</td><td> 2.192</td><td>  1.798</td><td> 2.040</td><td> 1.970</td><td>...</td><td>  1.883</td><td> 2.168</td><td> 2.258</td><td> 1.739</td><td> 2.369</td><td> 1.807</td><td> 1.850</td><td> 1.597</td><td>  2.051</td><td> 2.157</td></tr>\n",
       "\t<tr><th scope=row>AK057978</th><td>-3.194</td><td>-3.963</td><td>-2.718</td><td> -2.617</td><td> -2.154</td><td>-3.730</td><td>-2.617</td><td> -4.017</td><td>-2.375</td><td>-0.528</td><td>...</td><td> -2.749</td><td>-1.938</td><td>-3.219</td><td>-3.058</td><td>-2.900</td><td>-3.912</td><td>-3.219</td><td>-3.079</td><td> -3.576</td><td>-3.324</td></tr>\n",
       "\t<tr><th scope=row>LOC441204</th><td>-2.797</td><td>-1.760</td><td>-1.585</td><td> -0.794</td><td> -1.024</td><td>-1.973</td><td>-0.064</td><td> -1.487</td><td>-1.693</td><td>-2.847</td><td>...</td><td> -1.749</td><td>-1.056</td><td>-1.363</td><td>-2.882</td><td>-2.104</td><td>-1.470</td><td>-2.996</td><td>-1.973</td><td> -1.390</td><td>-3.912</td></tr>\n",
       "\t<tr><th scope=row>TCOF1</th><td> 3.010</td><td> 2.826</td><td> 2.687</td><td>  3.154</td><td>  3.034</td><td> 2.373</td><td> 2.169</td><td>  3.431</td><td> 1.992</td><td> 1.501</td><td>...</td><td>  2.648</td><td> 2.787</td><td> 2.693</td><td> 2.676</td><td> 2.775</td><td> 3.066</td><td> 2.733</td><td> 2.517</td><td>  2.934</td><td> 2.801</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 x 61\n",
       "\\begin{tabular}{r|lllllllllllllllllllll}\n",
       "  & NPC0001PT00004T00004 & NPC0001PT00078T00078 & NPC0001PT00370T00370 & NPC0001PT00312T00312 & NPC0001PT00061T00061 & NPC0001PT00196T00196 & NPC0001PT00437T00437 & NPC0001PT00048T00048 & NPC0001PT00300T00300 & NPC0001PT00263T00263 & ... & NPC0001PT00298T00298 & NPC0001PT00056T00056 & NPC0001PT00426T00426 & NPC0001PT00296T00296 & NPC0001PT00346T00346 & NPC0001PT00027T00027 & NPC0001PT00336T00336 & NPC0001PT00357T00357 & NPC0001PT00369T00369 & NPC0001PT00221T00221\\\\\n",
       "  & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & ... & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\tAF085995 & -1.324 & -1.228 & -1.168 &  -0.541 &  -0.218 &  0.161 & -1.197 &   0.035 & -0.652 & -0.534 & ... &  -0.875 & -0.370 & -0.658 & -0.270 & -0.174 & -0.816 & -0.805 & -0.981 &  -0.468 & -2.354\\\\\n",
       "\tMTVR2 & -3.297 & -3.058 & -3.817 & -13.816 & -13.816 & -3.540 & -3.037 & -13.816 & -3.101 & -2.813 & ... & -13.816 & -3.772 & -3.730 & -2.865 & -3.101 & -2.996 & -3.863 & -3.170 & -13.816 & -3.612\\\\\n",
       "\tATRX &  2.232 &  1.824 &  1.979 &   2.221 &   2.429 &  1.866 &  2.192 &   1.798 &  2.040 &  1.970 & ... &   1.883 &  2.168 &  2.258 &  1.739 &  2.369 &  1.807 &  1.850 &  1.597 &   2.051 &  2.157\\\\\n",
       "\tAK057978 & -3.194 & -3.963 & -2.718 &  -2.617 &  -2.154 & -3.730 & -2.617 &  -4.017 & -2.375 & -0.528 & ... &  -2.749 & -1.938 & -3.219 & -3.058 & -2.900 & -3.912 & -3.219 & -3.079 &  -3.576 & -3.324\\\\\n",
       "\tLOC441204 & -2.797 & -1.760 & -1.585 &  -0.794 &  -1.024 & -1.973 & -0.064 &  -1.487 & -1.693 & -2.847 & ... &  -1.749 & -1.056 & -1.363 & -2.882 & -2.104 & -1.470 & -2.996 & -1.973 &  -1.390 & -3.912\\\\\n",
       "\tTCOF1 &  3.010 &  2.826 &  2.687 &   3.154 &   3.034 &  2.373 &  2.169 &   3.431 &  1.992 &  1.501 & ... &   2.648 &  2.787 &  2.693 &  2.676 &  2.775 &  3.066 &  2.733 &  2.517 &   2.934 &  2.801\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 x 61\n",
       "\n",
       "| <!--/--> | NPC0001PT00004T00004 &lt;dbl&gt; | NPC0001PT00078T00078 &lt;dbl&gt; | NPC0001PT00370T00370 &lt;dbl&gt; | NPC0001PT00312T00312 &lt;dbl&gt; | NPC0001PT00061T00061 &lt;dbl&gt; | NPC0001PT00196T00196 &lt;dbl&gt; | NPC0001PT00437T00437 &lt;dbl&gt; | NPC0001PT00048T00048 &lt;dbl&gt; | NPC0001PT00300T00300 &lt;dbl&gt; | NPC0001PT00263T00263 &lt;dbl&gt; | ... ... | NPC0001PT00298T00298 &lt;dbl&gt; | NPC0001PT00056T00056 &lt;dbl&gt; | NPC0001PT00426T00426 &lt;dbl&gt; | NPC0001PT00296T00296 &lt;dbl&gt; | NPC0001PT00346T00346 &lt;dbl&gt; | NPC0001PT00027T00027 &lt;dbl&gt; | NPC0001PT00336T00336 &lt;dbl&gt; | NPC0001PT00357T00357 &lt;dbl&gt; | NPC0001PT00369T00369 &lt;dbl&gt; | NPC0001PT00221T00221 &lt;dbl&gt; |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| AF085995 | -1.324 | -1.228 | -1.168 |  -0.541 |  -0.218 |  0.161 | -1.197 |   0.035 | -0.652 | -0.534 | ... |  -0.875 | -0.370 | -0.658 | -0.270 | -0.174 | -0.816 | -0.805 | -0.981 |  -0.468 | -2.354 |\n",
       "| MTVR2 | -3.297 | -3.058 | -3.817 | -13.816 | -13.816 | -3.540 | -3.037 | -13.816 | -3.101 | -2.813 | ... | -13.816 | -3.772 | -3.730 | -2.865 | -3.101 | -2.996 | -3.863 | -3.170 | -13.816 | -3.612 |\n",
       "| ATRX |  2.232 |  1.824 |  1.979 |   2.221 |   2.429 |  1.866 |  2.192 |   1.798 |  2.040 |  1.970 | ... |   1.883 |  2.168 |  2.258 |  1.739 |  2.369 |  1.807 |  1.850 |  1.597 |   2.051 |  2.157 |\n",
       "| AK057978 | -3.194 | -3.963 | -2.718 |  -2.617 |  -2.154 | -3.730 | -2.617 |  -4.017 | -2.375 | -0.528 | ... |  -2.749 | -1.938 | -3.219 | -3.058 | -2.900 | -3.912 | -3.219 | -3.079 |  -3.576 | -3.324 |\n",
       "| LOC441204 | -2.797 | -1.760 | -1.585 |  -0.794 |  -1.024 | -1.973 | -0.064 |  -1.487 | -1.693 | -2.847 | ... |  -1.749 | -1.056 | -1.363 | -2.882 | -2.104 | -1.470 | -2.996 | -1.973 |  -1.390 | -3.912 |\n",
       "| TCOF1 |  3.010 |  2.826 |  2.687 |   3.154 |   3.034 |  2.373 |  2.169 |   3.431 |  1.992 |  1.501 | ... |   2.648 |  2.787 |  2.693 |  2.676 |  2.775 |  3.066 |  2.733 |  2.517 |   2.934 |  2.801 |\n",
       "\n"
      ],
      "text/plain": [
       "          NPC0001PT00004T00004 NPC0001PT00078T00078 NPC0001PT00370T00370\n",
       "AF085995  -1.324               -1.228               -1.168              \n",
       "MTVR2     -3.297               -3.058               -3.817              \n",
       "ATRX       2.232                1.824                1.979              \n",
       "AK057978  -3.194               -3.963               -2.718              \n",
       "LOC441204 -2.797               -1.760               -1.585              \n",
       "TCOF1      3.010                2.826                2.687              \n",
       "          NPC0001PT00312T00312 NPC0001PT00061T00061 NPC0001PT00196T00196\n",
       "AF085995   -0.541               -0.218               0.161              \n",
       "MTVR2     -13.816              -13.816              -3.540              \n",
       "ATRX        2.221                2.429               1.866              \n",
       "AK057978   -2.617               -2.154              -3.730              \n",
       "LOC441204  -0.794               -1.024              -1.973              \n",
       "TCOF1       3.154                3.034               2.373              \n",
       "          NPC0001PT00437T00437 NPC0001PT00048T00048 NPC0001PT00300T00300\n",
       "AF085995  -1.197                 0.035              -0.652              \n",
       "MTVR2     -3.037               -13.816              -3.101              \n",
       "ATRX       2.192                 1.798               2.040              \n",
       "AK057978  -2.617                -4.017              -2.375              \n",
       "LOC441204 -0.064                -1.487              -1.693              \n",
       "TCOF1      2.169                 3.431               1.992              \n",
       "          NPC0001PT00263T00263 ... NPC0001PT00298T00298 NPC0001PT00056T00056\n",
       "AF085995  -0.534               ...  -0.875              -0.370              \n",
       "MTVR2     -2.813               ... -13.816              -3.772              \n",
       "ATRX       1.970               ...   1.883               2.168              \n",
       "AK057978  -0.528               ...  -2.749              -1.938              \n",
       "LOC441204 -2.847               ...  -1.749              -1.056              \n",
       "TCOF1      1.501               ...   2.648               2.787              \n",
       "          NPC0001PT00426T00426 NPC0001PT00296T00296 NPC0001PT00346T00346\n",
       "AF085995  -0.658               -0.270               -0.174              \n",
       "MTVR2     -3.730               -2.865               -3.101              \n",
       "ATRX       2.258                1.739                2.369              \n",
       "AK057978  -3.219               -3.058               -2.900              \n",
       "LOC441204 -1.363               -2.882               -2.104              \n",
       "TCOF1      2.693                2.676                2.775              \n",
       "          NPC0001PT00027T00027 NPC0001PT00336T00336 NPC0001PT00357T00357\n",
       "AF085995  -0.816               -0.805               -0.981              \n",
       "MTVR2     -2.996               -3.863               -3.170              \n",
       "ATRX       1.807                1.850                1.597              \n",
       "AK057978  -3.912               -3.219               -3.079              \n",
       "LOC441204 -1.470               -2.996               -1.973              \n",
       "TCOF1      3.066                2.733                2.517              \n",
       "          NPC0001PT00369T00369 NPC0001PT00221T00221\n",
       "AF085995   -0.468              -2.354              \n",
       "MTVR2     -13.816              -3.612              \n",
       "ATRX        2.051               2.157              \n",
       "AK057978   -3.576              -3.324              \n",
       "LOC441204  -1.390              -3.912              \n",
       "TCOF1       2.934               2.801              "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 6 x 6</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>logFC</th><th scope=col>AveExpr</th><th scope=col>t</th><th scope=col>P.Value</th><th scope=col>padj</th><th scope=col>B</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>BTNL8</th><td>-0.8424103</td><td>-2.2164098</td><td>-4.469325</td><td>3.547206e-05</td><td>0.53724</td><td> 1.06821074</td></tr>\n",
       "\t<tr><th scope=row>STAG1</th><td> 0.2814895</td><td> 1.8862131</td><td> 4.146973</td><td>1.077329e-04</td><td>0.53724</td><td> 0.31283417</td></tr>\n",
       "\t<tr><th scope=row>XCL1</th><td>-0.7946480</td><td> 0.2785082</td><td>-4.046153</td><td>1.513006e-04</td><td>0.53724</td><td> 0.08134684</td></tr>\n",
       "\t<tr><th scope=row>NOSIP</th><td>-0.2134627</td><td> 3.6208852</td><td>-3.978389</td><td>1.896700e-04</td><td>0.53724</td><td>-0.07281672</td></tr>\n",
       "\t<tr><th scope=row>MGC2889</th><td> 4.6715210</td><td>-9.1755738</td><td> 3.973414</td><td>1.928296e-04</td><td>0.53724</td><td>-0.08408825</td></tr>\n",
       "\t<tr><th scope=row>NGDN</th><td>-0.2925839</td><td> 3.1470164</td><td>-3.910276</td><td>2.376006e-04</td><td>0.53724</td><td>-0.22656125</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 x 6\n",
       "\\begin{tabular}{r|llllll}\n",
       "  & logFC & AveExpr & t & P.Value & padj & B\\\\\n",
       "  & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\tBTNL8 & -0.8424103 & -2.2164098 & -4.469325 & 3.547206e-05 & 0.53724 &  1.06821074\\\\\n",
       "\tSTAG1 &  0.2814895 &  1.8862131 &  4.146973 & 1.077329e-04 & 0.53724 &  0.31283417\\\\\n",
       "\tXCL1 & -0.7946480 &  0.2785082 & -4.046153 & 1.513006e-04 & 0.53724 &  0.08134684\\\\\n",
       "\tNOSIP & -0.2134627 &  3.6208852 & -3.978389 & 1.896700e-04 & 0.53724 & -0.07281672\\\\\n",
       "\tMGC2889 &  4.6715210 & -9.1755738 &  3.973414 & 1.928296e-04 & 0.53724 & -0.08408825\\\\\n",
       "\tNGDN & -0.2925839 &  3.1470164 & -3.910276 & 2.376006e-04 & 0.53724 & -0.22656125\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 x 6\n",
       "\n",
       "| <!--/--> | logFC &lt;dbl&gt; | AveExpr &lt;dbl&gt; | t &lt;dbl&gt; | P.Value &lt;dbl&gt; | padj &lt;dbl&gt; | B &lt;dbl&gt; |\n",
       "|---|---|---|---|---|---|---|\n",
       "| BTNL8 | -0.8424103 | -2.2164098 | -4.469325 | 3.547206e-05 | 0.53724 |  1.06821074 |\n",
       "| STAG1 |  0.2814895 |  1.8862131 |  4.146973 | 1.077329e-04 | 0.53724 |  0.31283417 |\n",
       "| XCL1 | -0.7946480 |  0.2785082 | -4.046153 | 1.513006e-04 | 0.53724 |  0.08134684 |\n",
       "| NOSIP | -0.2134627 |  3.6208852 | -3.978389 | 1.896700e-04 | 0.53724 | -0.07281672 |\n",
       "| MGC2889 |  4.6715210 | -9.1755738 |  3.973414 | 1.928296e-04 | 0.53724 | -0.08408825 |\n",
       "| NGDN | -0.2925839 |  3.1470164 | -3.910276 | 2.376006e-04 | 0.53724 | -0.22656125 |\n",
       "\n"
      ],
      "text/plain": [
       "        logFC      AveExpr    t         P.Value      padj    B          \n",
       "BTNL8   -0.8424103 -2.2164098 -4.469325 3.547206e-05 0.53724  1.06821074\n",
       "STAG1    0.2814895  1.8862131  4.146973 1.077329e-04 0.53724  0.31283417\n",
       "XCL1    -0.7946480  0.2785082 -4.046153 1.513006e-04 0.53724  0.08134684\n",
       "NOSIP   -0.2134627  3.6208852 -3.978389 1.896700e-04 0.53724 -0.07281672\n",
       "MGC2889  4.6715210 -9.1755738  3.973414 1.928296e-04 0.53724 -0.08408825\n",
       "NGDN    -0.2925839  3.1470164 -3.910276 2.376006e-04 0.53724 -0.22656125"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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dJ+UlRVjsZpuTtm1YldnsjLyxs2bFhxcXFiYmKNGjVcXFy6devG/A6vvTzh6+vr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zfC+ixWI5//zzA79++OGHInLBBRdEijeZ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\n/Q85IwjtpAanRQAAAABJRU5ErkJggg==",
      "text/plain": [
       "Plot with title “expression value”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "library(\"limma\")\n",
    "library(\"ggrepel\")\n",
    "\n",
    "###differential expression use limma###\n",
    "exprSet<-dat[,row.names(info)]\n",
    "head(exprSet)\n",
    "\n",
    "par(cex = 0.7)\n",
    "n.sample=ncol(exprSet)\n",
    "if(n.sample>40) par(cex = 0.5)\n",
    "cols <- rainbow(n.sample*1.2)\n",
    "boxplot(exprSet, col = cols,main=\"expression value\",las=2)\n",
    "\n",
    "\n",
    "group<-info$clinical_stage\n",
    "design <- model.matrix(~0+group)\n",
    "colnames(design)=levels(factor(group))\n",
    "rownames(design)=colnames(exprSet)\n",
    "contrast.matrix<-makeContrasts(paste0(unique(group),collapse = \"-\"),levels = design)\n",
    "fit <- lmFit(exprSet,design)\n",
    "fit2 <- contrasts.fit(fit, contrast.matrix)\n",
    "fit2 <- eBayes(fit2)\n",
    "tempOutput <- topTable(fit2, coef=1, n=Inf)\n",
    "nrDEG <- na.omit(tempOutput) \n",
    "\n",
    "nrDEG_t<-as.data.frame(nrDEG)\n",
    "colnames(nrDEG_t)<-c(\"logFC\",\"AveExpr\",\"t\",\"P.Value\",\"padj\",\"B\")\n",
    "head(nrDEG_t)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### volcano plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>\n",
       ".list-inline {list-style: none; margin:0; padding: 0}\n",
       ".list-inline>li {display: inline-block}\n",
       ".list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n",
       "</style>\n",
       "<ol class=list-inline><li>'logFC'</li><li>'AveExpr'</li><li>'t'</li><li>'P.Value'</li><li>'padj'</li><li>'B'</li></ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 'logFC'\n",
       "\\item 'AveExpr'\n",
       "\\item 't'\n",
       "\\item 'P.Value'\n",
       "\\item 'padj'\n",
       "\\item 'B'\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 'logFC'\n",
       "2. 'AveExpr'\n",
       "3. 't'\n",
       "4. 'P.Value'\n",
       "5. 'padj'\n",
       "6. 'B'\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] \"logFC\"   \"AveExpr\" \"t\"       \"P.Value\" \"padj\"    \"B\"      "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\n",
       " DOWN   NOT    UP \n",
       "  140 24092   298 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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QV25hZfXUfr5PQngOCos0eWui0sxUjnN+96E9Kn38woadMMHLreVBKVaugP/OLg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\nWlduNv1dP1CbEYYRMBfTtsyKT5RjB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W0q6IEkmDuMtnetGNGWA9jMgchrCyyChY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\n/EfZ50fxQTYKFFK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      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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1791FNPxcbGchxXXFwcFhY2dOjQTz75ZN++fTKZrD4BVyo+Pv7tt99OTk6OioqS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YXbu40tKFcSFbXw9YVvree1ClggDgkUjy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\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/zi2bNnZTJZIBCAQ5FKpdra2g4cOFBp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1Go3RaITrr0ajWbFixcTEBDonZFneuXOn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\nBBI7AAAAAJr4H3g2SznjJHK1AAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#draw picture\n",
    "library(ggplot2)\n",
    "DEG=nrDEG_t\n",
    "\n",
    "colnames(DEG)\n",
    "plot(DEG$logFC,-log10(DEG$P.Value))\n",
    "#logFC_cutoff <- with(DEG,mean(abs(logFC)) + 2*sd(abs( logFC)) )\n",
    "logFC_cutoff=1  #set cut off\n",
    "DEG$change = as.factor(ifelse(DEG$P.Value < 0.05 & abs(DEG$logFC) > logFC_cutoff,\n",
    "                              ifelse(DEG$logFC > logFC_cutoff ,'UP','DOWN'),'NOT')\n",
    ")\n",
    "table(DEG$change)\n",
    "this_tile <- paste0('Cutoff for logFC is ',round(logFC_cutoff,3),\n",
    "                    '\\nThe number of up gene is ',nrow(DEG[DEG$change =='UP',]) ,\n",
    "                    '\\nThe number of down gene is ',nrow(DEG[DEG$change =='DOWN',])\n",
    ")\n",
    "g = ggplot(data=DEG, aes(,x=logFC, y=-log10(P.Value),color=change)) + geom_point(alpha=0.4, size=1.75) +\n",
    "  theme_set(theme_set(theme_bw(base_size=20)))+ xlab(\"log2 fold change\") + ylab(\"-log10 p-value\") + \n",
    "  ggtitle(this_tile) +  theme(plot.title = element_text(size=15,hjust = 0.5)) + \n",
    "  scale_colour_manual(values = c('blue','black','red')) ## corresponding to the levels(res$change)\n",
    "print(g)\n",
    "#ggsave(g,filename = 'volcano.pvalue.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Heatmap"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 6 x 6</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>logFC</th><th scope=col>AveExpr</th><th scope=col>t</th><th scope=col>P.Value</th><th scope=col>padj</th><th scope=col>B</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>MGC2889</th><td>4.671521</td><td>-9.175574</td><td>3.973414</td><td>0.0001928296</td><td>0.5372400</td><td>-0.08408825</td></tr>\n",
       "\t<tr><th scope=row>AL162052</th><td>4.498177</td><td>-9.385066</td><td>3.690763</td><td>0.0004845901</td><td>0.5372400</td><td>-0.71315444</td></tr>\n",
       "\t<tr><th scope=row>NECAB2</th><td>4.229230</td><td>-8.125525</td><td>3.346134</td><td>0.0014189941</td><td>0.5372400</td><td>-1.44626540</td></tr>\n",
       "\t<tr><th scope=row>GPR50</th><td>4.022576</td><td>-7.116902</td><td>2.838134</td><td>0.0061849715</td><td>0.6087924</td><td>-2.44492387</td></tr>\n",
       "\t<tr><th scope=row>VCX3A</th><td>3.965537</td><td>-8.802934</td><td>2.864988</td><td>0.0057425621</td><td>0.5943673</td><td>-2.39488757</td></tr>\n",
       "\t<tr><th scope=row>BC036435</th><td>3.946348</td><td>-7.995393</td><td>3.131786</td><td>0.0026865478</td><td>0.5372400</td><td>-1.88057646</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 x 6\n",
       "\\begin{tabular}{r|llllll}\n",
       "  & logFC & AveExpr & t & P.Value & padj & B\\\\\n",
       "  & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\tMGC2889 & 4.671521 & -9.175574 & 3.973414 & 0.0001928296 & 0.5372400 & -0.08408825\\\\\n",
       "\tAL162052 & 4.498177 & -9.385066 & 3.690763 & 0.0004845901 & 0.5372400 & -0.71315444\\\\\n",
       "\tNECAB2 & 4.229230 & -8.125525 & 3.346134 & 0.0014189941 & 0.5372400 & -1.44626540\\\\\n",
       "\tGPR50 & 4.022576 & -7.116902 & 2.838134 & 0.0061849715 & 0.6087924 & -2.44492387\\\\\n",
       "\tVCX3A & 3.965537 & -8.802934 & 2.864988 & 0.0057425621 & 0.5943673 & -2.39488757\\\\\n",
       "\tBC036435 & 3.946348 & -7.995393 & 3.131786 & 0.0026865478 & 0.5372400 & -1.88057646\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 x 6\n",
       "\n",
       "| <!--/--> | logFC &lt;dbl&gt; | AveExpr &lt;dbl&gt; | t &lt;dbl&gt; | P.Value &lt;dbl&gt; | padj &lt;dbl&gt; | B &lt;dbl&gt; |\n",
       "|---|---|---|---|---|---|---|\n",
       "| MGC2889 | 4.671521 | -9.175574 | 3.973414 | 0.0001928296 | 0.5372400 | -0.08408825 |\n",
       "| AL162052 | 4.498177 | -9.385066 | 3.690763 | 0.0004845901 | 0.5372400 | -0.71315444 |\n",
       "| NECAB2 | 4.229230 | -8.125525 | 3.346134 | 0.0014189941 | 0.5372400 | -1.44626540 |\n",
       "| GPR50 | 4.022576 | -7.116902 | 2.838134 | 0.0061849715 | 0.6087924 | -2.44492387 |\n",
       "| VCX3A | 3.965537 | -8.802934 | 2.864988 | 0.0057425621 | 0.5943673 | -2.39488757 |\n",
       "| BC036435 | 3.946348 | -7.995393 | 3.131786 | 0.0026865478 | 0.5372400 | -1.88057646 |\n",
       "\n"
      ],
      "text/plain": [
       "         logFC    AveExpr   t        P.Value      padj      B          \n",
       "MGC2889  4.671521 -9.175574 3.973414 0.0001928296 0.5372400 -0.08408825\n",
       "AL162052 4.498177 -9.385066 3.690763 0.0004845901 0.5372400 -0.71315444\n",
       "NECAB2   4.229230 -8.125525 3.346134 0.0014189941 0.5372400 -1.44626540\n",
       "GPR50    4.022576 -7.116902 2.838134 0.0061849715 0.6087924 -2.44492387\n",
       "VCX3A    3.965537 -8.802934 2.864988 0.0057425621 0.5943673 -2.39488757\n",
       "BC036435 3.946348 -7.995393 3.131786 0.0026865478 0.5372400 -1.88057646"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<style>\n",
       ".list-inline {list-style: none; margin:0; padding: 0}\n",
       ".list-inline>li {display: inline-block}\n",
       ".list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n",
       "</style>\n",
       "<ol class=list-inline><li>100</li><li>6</li></ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 100\n",
       "\\item 6\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 100\n",
       "2. 6\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] 100   6"
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     },
     "metadata": {},
     "output_type": "display_data"
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0O2jyzL/fr1s83llpaWVlFR0fZS99xzD3lat2TJkiVLllj+PyQkxKmp0Ndff32P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\n7Hb06aefPvXUv6Wfef311xctWrSLzQ4xd9MfMdL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5xq61tbWlpaWDkmWIiIiISDxzXPefibrmz58/d6/J6EcAACAASURBVO5c13VHjRoV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\nExEREZkgdGMnIiIiMkHoxk5ERERkgvh/QXpZxs6rFhgAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#install.packages(\"pheatmap\")\n",
    "library(stats)\n",
    "library(ggplot2)\n",
    "library(pheatmap)\n",
    "\n",
    "#extract top 100 differential expressed genes and \n",
    "diff=nrDEG_t[order(nrDEG_t[,\"logFC\"],decreasing=TRUE),][1:100,] \n",
    "head(diff)\n",
    "dim(diff)\n",
    "\n",
    "#standalization\n",
    "aa=t(dat[row.names(diff),])\n",
    "aa=t(scale(aa))\n",
    "\n",
    "p<-pheatmap(aa,show_rownames=F,show_colnames=F,cluster_cols=T, cluster_rows=T,cex=1, clustering_distance_rows=\"euclidean\", cex=1,clustering_distance_cols=\"euclidean\", clustering_method=\"complete\", border_color=FALSE)\n",
    "p\n",
    "\n",
    "#get samples/features ID\n",
    "#colnames(aa[,p$tree_col[[\"order\"]]]) \n",
    "#rownames(aa[p$tree_row[[\"order\"]],]) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "R",
   "language": "R",
   "name": "ir"
  },
  "language_info": {
   "codemirror_mode": "r",
   "file_extension": ".r",
   "mimetype": "text/x-r-source",
   "name": "R",
   "pygments_lexer": "r",
   "version": "3.6.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}