3_plot_PCA.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Options for the notebook \n",
    "options(jupyter.plot_mimetypes = \"image/png\") \n",
    "options(repr.plot.width = 6, repr.plot.height = 6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "read_pca_output <- function(path){\n",
    "    pca_df = read.table(path)\n",
    "    names(pca_df) = c('Population', 'Individual', 'PC1', 'PC2', 'PC3')\n",
    "    # enforce the order of populations\n",
    "    pca_df$Population <- factor(pca_df$Population , levels =c('Nome_ODD','Nome_EVEN', 'Koppen_ODD', 'Koppen_EVEN', 'Puget_ODD', 'Puget_EVEN'))\n",
    "    pca_df = pca_df[order(pca_df$Population),]\n",
    "    return(pca_df)\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "plot_pca_basic <- function(pca_df, title){\n",
    "    plot(pca_df$PC1 , pca_df$PC2, col = pca_df$Population, pch = 16, main = title)\n",
    "    legend(x=\"topleft\", legend = levels(pca_df$Population), fill = palette()[1:6])\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# unused - example how to make a scatteplot in ggplot2\n",
    "plot_pca_ggplot <- function(pca_df){\n",
    "    library(ggplot2)\n",
    "    p = ggplot(data = pca_df, aes(x = PC1, y = PC2))\n",
    "    p = p + geom_point(aes(colour = Population))\n",
    "    p = p + theme_classic()\n",
    "    return(p)\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Load the PCA .eigenvec files "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>Population</th><th scope=col>Individual</th><th scope=col>PC1</th><th scope=col>PC2</th><th scope=col>PC3</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>49</th><td>Nome_ODD    </td><td>PNOME91_0001</td><td>0.0325940   </td><td>0.128560    </td><td>-0.004888830</td></tr>\n",
       "\t<tr><th scope=row>50</th><td>Nome_ODD    </td><td>PNOME91_0002</td><td>0.0351358   </td><td>0.120024    </td><td>-0.004910520</td></tr>\n",
       "\t<tr><th scope=row>51</th><td>Nome_ODD    </td><td>PNOME91_0003</td><td>0.0377721   </td><td>0.137508    </td><td>-0.026583800</td></tr>\n",
       "\t<tr><th scope=row>52</th><td>Nome_ODD    </td><td>PNOME91_0004</td><td>0.0312007   </td><td>0.143588    </td><td>-0.000433409</td></tr>\n",
       "\t<tr><th scope=row>53</th><td>Nome_ODD    </td><td>PNOME91_0005</td><td>0.0418257   </td><td>0.124068    </td><td>-0.013349300</td></tr>\n",
       "\t<tr><th scope=row>54</th><td>Nome_ODD    </td><td>PNOME91_0008</td><td>0.0360430   </td><td>0.136630    </td><td> 0.004611240</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lllll}\n",
       "  & Population & Individual & PC1 & PC2 & PC3\\\\\n",
       "\\hline\n",
       "\t49 & Nome\\_ODD     & PNOME91\\_0001 & 0.0325940      & 0.128560       & -0.004888830  \\\\\n",
       "\t50 & Nome\\_ODD     & PNOME91\\_0002 & 0.0351358      & 0.120024       & -0.004910520  \\\\\n",
       "\t51 & Nome\\_ODD     & PNOME91\\_0003 & 0.0377721      & 0.137508       & -0.026583800  \\\\\n",
       "\t52 & Nome\\_ODD     & PNOME91\\_0004 & 0.0312007      & 0.143588       & -0.000433409  \\\\\n",
       "\t53 & Nome\\_ODD     & PNOME91\\_0005 & 0.0418257      & 0.124068       & -0.013349300  \\\\\n",
       "\t54 & Nome\\_ODD     & PNOME91\\_0008 & 0.0360430      & 0.136630       &  0.004611240  \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | Population | Individual | PC1 | PC2 | PC3 | \n",
       "|---|---|---|---|---|---|\n",
       "| 49 | Nome_ODD     | PNOME91_0001 | 0.0325940    | 0.128560     | -0.004888830 | \n",
       "| 50 | Nome_ODD     | PNOME91_0002 | 0.0351358    | 0.120024     | -0.004910520 | \n",
       "| 51 | Nome_ODD     | PNOME91_0003 | 0.0377721    | 0.137508     | -0.026583800 | \n",
       "| 52 | Nome_ODD     | PNOME91_0004 | 0.0312007    | 0.143588     | -0.000433409 | \n",
       "| 53 | Nome_ODD     | PNOME91_0005 | 0.0418257    | 0.124068     | -0.013349300 | \n",
       "| 54 | Nome_ODD     | PNOME91_0008 | 0.0360430    | 0.136630     |  0.004611240 | \n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "   Population Individual   PC1       PC2      PC3         \n",
       "49 Nome_ODD   PNOME91_0001 0.0325940 0.128560 -0.004888830\n",
       "50 Nome_ODD   PNOME91_0002 0.0351358 0.120024 -0.004910520\n",
       "51 Nome_ODD   PNOME91_0003 0.0377721 0.137508 -0.026583800\n",
       "52 Nome_ODD   PNOME91_0004 0.0312007 0.143588 -0.000433409\n",
       "53 Nome_ODD   PNOME91_0005 0.0418257 0.124068 -0.013349300\n",
       "54 Nome_ODD   PNOME91_0008 0.0360430 0.136630  0.004611240"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pca_initial = read_pca_output('./work/pink_data.initial.eigenvec')\n",
    "head(pca_initial)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>Population</th><th scope=col>Individual</th><th scope=col>PC1</th><th scope=col>PC2</th><th scope=col>PC3</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>49</th><td>Nome_ODD    </td><td>PNOME91_0001</td><td>0.0148705   </td><td>0.137154    </td><td>0.1013380   </td></tr>\n",
       "\t<tr><th scope=row>50</th><td>Nome_ODD    </td><td>PNOME91_0002</td><td>0.0270198   </td><td>0.103551    </td><td>0.0533876   </td></tr>\n",
       "\t<tr><th scope=row>51</th><td>Nome_ODD    </td><td>PNOME91_0003</td><td>0.0178010   </td><td>0.121176    </td><td>0.0811069   </td></tr>\n",
       "\t<tr><th scope=row>52</th><td>Nome_ODD    </td><td>PNOME91_0004</td><td>0.0123028   </td><td>0.134622    </td><td>0.0889382   </td></tr>\n",
       "\t<tr><th scope=row>53</th><td>Nome_ODD    </td><td>PNOME91_0005</td><td>0.0301644   </td><td>0.113710    </td><td>0.0971877   </td></tr>\n",
       "\t<tr><th scope=row>54</th><td>Nome_ODD    </td><td>PNOME91_0008</td><td>0.0161880   </td><td>0.129502    </td><td>0.0753457   </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lllll}\n",
       "  & Population & Individual & PC1 & PC2 & PC3\\\\\n",
       "\\hline\n",
       "\t49 & Nome\\_ODD     & PNOME91\\_0001 & 0.0148705      & 0.137154       & 0.1013380     \\\\\n",
       "\t50 & Nome\\_ODD     & PNOME91\\_0002 & 0.0270198      & 0.103551       & 0.0533876     \\\\\n",
       "\t51 & Nome\\_ODD     & PNOME91\\_0003 & 0.0178010      & 0.121176       & 0.0811069     \\\\\n",
       "\t52 & Nome\\_ODD     & PNOME91\\_0004 & 0.0123028      & 0.134622       & 0.0889382     \\\\\n",
       "\t53 & Nome\\_ODD     & PNOME91\\_0005 & 0.0301644      & 0.113710       & 0.0971877     \\\\\n",
       "\t54 & Nome\\_ODD     & PNOME91\\_0008 & 0.0161880      & 0.129502       & 0.0753457     \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | Population | Individual | PC1 | PC2 | PC3 | \n",
       "|---|---|---|---|---|---|\n",
       "| 49 | Nome_ODD     | PNOME91_0001 | 0.0148705    | 0.137154     | 0.1013380    | \n",
       "| 50 | Nome_ODD     | PNOME91_0002 | 0.0270198    | 0.103551     | 0.0533876    | \n",
       "| 51 | Nome_ODD     | PNOME91_0003 | 0.0178010    | 0.121176     | 0.0811069    | \n",
       "| 52 | Nome_ODD     | PNOME91_0004 | 0.0123028    | 0.134622     | 0.0889382    | \n",
       "| 53 | Nome_ODD     | PNOME91_0005 | 0.0301644    | 0.113710     | 0.0971877    | \n",
       "| 54 | Nome_ODD     | PNOME91_0008 | 0.0161880    | 0.129502     | 0.0753457    | \n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "   Population Individual   PC1       PC2      PC3      \n",
       "49 Nome_ODD   PNOME91_0001 0.0148705 0.137154 0.1013380\n",
       "50 Nome_ODD   PNOME91_0002 0.0270198 0.103551 0.0533876\n",
       "51 Nome_ODD   PNOME91_0003 0.0178010 0.121176 0.0811069\n",
       "52 Nome_ODD   PNOME91_0004 0.0123028 0.134622 0.0889382\n",
       "53 Nome_ODD   PNOME91_0005 0.0301644 0.113710 0.0971877\n",
       "54 Nome_ODD   PNOME91_0008 0.0161880 0.129502 0.0753457"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pca_clean = read_pca_output('./work/pink_salmon.clean.eigenvec')\n",
    "head(pca_clean)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Make some plots and save them to a file"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<strong>png:</strong> 2"
      ],
      "text/latex": [
       "\\textbf{png:} 2"
      ],
      "text/markdown": [
       "**png:** 2"
      ],
      "text/plain": [
       "png \n",
       "  2 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "png(\"./plots/PCA.pink_salmon.inital.png\")\n",
    "plot_pca_basic(pca_initial, title = 'pink_salmon.inital')\n",
    "dev.off()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<strong>png:</strong> 2"
      ],
      "text/latex": [
       "\\textbf{png:} 2"
      ],
      "text/markdown": [
       "**png:** 2"
      ],
      "text/plain": [
       "png \n",
       "  2 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "png(\"./plots/PCA.pink_salmon.clean.png\")\n",
    "plot_pca_basic(pca_clean, title = 'pink_salmon.clean')\n",
    "dev.off()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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kYGi8UKCwuT+tW5XK6SktKFCxdUVVWl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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_pca_basic(pca_initial, title = 'pink_salmon.inital')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ACA3CHhAAAAALlDwgEAAAByh4QDAAAA\n5A4JBwAAAMgdEg4AAACQOyQcAAAAIHdIOAAAAEDuVBXdAOVw69YtHo+n6FYAAACIoaqq6uDg\noOhWtAIJh3g3btxYuXKligp6g4BkZWUpugkAAGLk5+cPGzZM0a0QhYRDPC6Xq6KicunSJXV1\ndUW3BRTJ2dl58+bNa9asUXRDAABax+VyNTQ0uFyuohvSCvzVDgAAAHKHhAMAAADkDgkHAAAA\nyB0SDgAAAJA7JBwAAAAgd0g4AAAAQO6QcAAAAIDcIeEAAAAAuUPCAQAAAHKHhAMAAADkDgkH\nAAAAyB0SDgAAAJA7JBxKJjY2lqKoAQMGtLo3j42NTffu3Tu/VVLIy8tbuHChpaUlm802MDBw\ncnKKjY19+fKlSNj169epv1NVVbWwsFi8ePH9+/eli4SugKIoRTcBADoVdouVvevXr0dFRTU3\nN7cfpqKiEhUV5erqKsUlSkpK4uLi1q1bJ1UDFYzP54eGhm7fvp0QwuFwnJycqqurb9y4kZ+f\nv23btrS0tDFjxoicYm5u7uTkRL9++vRpYWHh999/f/DgwfT09AkTJkgXCbIinDoIBAJJwoRL\n2jkFAN4nSDhk7/r16xcuXJAk0svLS7qEgxCyceNGPz8/S0tL6U5XoJCQkB07dhgZGaWkpHh5\nebFYLEJIXV3dhg0btm7d6uXllZubO2zYMOFTRo0adfDgQeZtc3Pzli1b1q1bN3v27LKyMn19\nfSkiQSZE0giKolpNINrpz2jrFAB4z2BIRSkFBQW9fft22bJlSvebOjMzk842ioqKJk2aRGcb\nhBAdHZ3ExMTk5OSmpqbAwMD2+4dUVFTWrl0bHR396tWrrVu3yiQSpNBqGtFWT0ZH6wGA9wwS\nDqU0bdo0b2/vjIyMtLS0dsJqamqWLVtmZ2fH4XCGDBmyevXqN2/eMEeXL1+up6fX2NgYEhJi\nY2PTo0cPHx+fJ0+evHnzZtmyZf369dPR0fHw8Lhz545wnU1NTbGxsc7OzhwOx9LSMjQ09Nmz\nZ5K3PD4+nhCyceNGU1PTlkcXL148dOjQu3fvZmRkiK0qODhYS0trx44dYrMuySNBJpBAAEBL\nSDiUEkVRSUlJWlpaK1eurK2tbTWmqqrK0dHxu+++Y7PZvr6+PB4vLi5u6NChwvE8Hs/Hx+fq\n1atTpkwZMGDAyZMnvby83N3dr169Om3aNBcXlytXrvj6+vL5fDq+sbHR3d19/fr1tbW1Pj4+\nurq6iYmJI0aMePz4sSTN5nK5Fy9e5HA4CxYsaDVARUVlxYoVhJDz58+Lrc3Q0NDJyammpqa6\nulpWkSAJZlquohsCAMoECYeysrCwiI6Ofvz4cURERKsBUVFR5eXl8fHx+fn5+/fvv3XrVlhY\n2L179+g+Blp9fb2Kisqvv/66ZcuWX3755R//+MetW7c0NDRu3rz5zTffZGRkjBs3rrS0tLy8\nnI5PSkrKzc0NDg6+c+fOgQMHCgoKYmJiSktLw8PDJWlzWVlZQ0ODtbW1qmqbk4cGDBhACPnt\nt98kqdDc3JwQ8uDBAxlGQjuQZwCA1JBwKLGVK1fa2dl9++23v/76q8ghLpebkpIyaNCglStX\n0iUURcXExJiYmCQnJwtHRkRE0F//FEWNGjWKEBIeHs5ms+mS0aNHE0KeP39OBycmJpqYmMTF\nxdFzLyiKioyMHDhw4NGjR5uamsQ2uKamhhDSp0+fdmL69u0rfMX2GRkZEUL+/PNPGUbCuxMZ\nuhI7koWhLoAPARIOJaamppacnCwQCJYsWcLj8YQPlZWV8fl8d3d3FZX//6+YzWa7uLg8e/ZM\neFSF/oJnAgghVlZWIiW0urq6yspKR0fHx48fl/2lvLzcwcGhoaGhtLRUbIM5HA4hpP3xlydP\nnjCRYj19+pQQYmZmJsNIaIuc+jbaeqpFhDwuDQCdCY/FKjdXV9egoKBdu3bt2LEjJCSEKa+q\nqiKEGBsbi8TTUzUfPXqkq6tLlwhnJG2V0OiBlfPnz7faRdHWVBJhvXr1YrFYJSUlAoGgra+Q\n4uJi8vc0qB0VFRVEXJdJRyPhHbWaQLTzb7wlpBcA7yUkHEpv06ZN6enpGzZsmDlzJlPYs2dP\n8ldvgTC6pNUnRMSizxo3blxwcHDLo8L9Im3R0dFxcXHJzs4+derUlClTWo1JSUkhhHh5eYmt\n7cWLF/n5+YaGhoaGhrKKBOm8y5iIyDocbWUbWK4DQNkh4VB6BgYGCQkJAQEBX3zxBVPYu3dv\nFot19epV4b8sGxsbr127ZmBgYGBgIN2FDAwM6urqpk2bJlyel5dXXV0t4ZLqK1asyM7ODgkJ\ncXd379atm8jR9PT0U6dOmZmZCSdPbUlKSqqvr1+9erXYP4gljwT5aaeTA8kEwIcAczhkr1+/\nfpaS6d+/v0yuOHfuXA8Pj/T0dGbTEHV19fnz59++fXvbtm10SXNzc2RkZFVVVVBQkNQXWrp0\naV5e3p49e5iSgoKC0aNHb926VcLv8unTp0+fPv3BgweDBw/OyspivmYaGhqio6NnzpypoqKS\nkpKioaHRTiX0+qHR0dG6urr0Y7TvHglitZUTIFcAAEmgh0P2Jk+ePHny5M68IkVR3377rb29\nvfCObjExMRkZGSEhIUeOHLG2ti4sLLxz546Njc3atWulvtCaNWtOnjy5aNGiXbt22dralpSU\n3Lx5U0dHJyEhQfKmHjhwQF1d/ciRI6NGjdLX17ezs6upqSkuLubz+To6OgcPHvT09BQ5KzMz\nc8aMGfTrp0+fFhUV1dXVsdns1NRUPT096SJBCi17KZBtAICEkHC8J6ytrcPDw2NiYpiSnj17\n3rp1KyIiIjMz8/jx4/369fvyyy+jo6O1tbWlvoqOjk5+fn50dPSFCxfS0tKMjY0DAgIiIiIk\nmcDB0NTUPHz48KJFi/bs2ZOVlXX9+nU2m21vb//xxx8vX768R48eLU+pqKigZ30SQlgsVs+e\nPWfNmhUeHt5ybqnkkSCdtjKMll1cTGSHRrLaH3lppwEA0MVh6FS83NzctWvXXrp0SV1dXdFt\nAUVydnb28fFZs2aNohvS5bSVIkj+cIrIL6J2zsKvLIB2cLlcDQ2NnJwcqXcGlR/M4QAAeZEu\n22i1pKN1AkBXgyEVAFAM9FUAfFDQwwGykZyc3F2ctrZ9AaUmXZeDdDM8AEB5oYcDZCMgIEBk\nfY6WtLS0Oqcx0GmkTheET+zQbFD0iwAoKfRwKJnY2FiKogYMGCD8BCzDxsZGwgW4ZE5bW9tE\nnG7dut24caPlNhkMExMTQkh2djZFUW5ubq1eKCsri6KosWPHEkIkqY104Zum7KTONtraP0Vs\nDAAoL/RwKKWSkpK4uLh169YpuiFSMjMzc3Z2bllOL5Xh6uraq1ev7OzsysrKltutnThxghAy\ne/ZsCWtjKPtNe59IuOSoyEMuSEEAlBoSDtk7dOjQJ598Iknk/v37AwICpLvKxo0b/fz8LC0t\npTtdsUaOHJmamtrWURUVFT8/vy1btvz4448iy4MKBIL09HQWi+Xj4yNhbcKU+qa9Nzq0kRuS\nDID3BoZUZO/Zs2f9Cbkh7seGkGfPnkl3iaCgoLdv3y5btux9/XXs7+9PCDl69KhIeWFh4f/+\n97+xY8e2uj5Y+977m9Z1vONebjJsCQB0HUg45EKLkKHift5l/uS0adO8vb0zMjLS0tLaCaup\nqVm2bJmdnR2HwxkyZMjq1avfvHnDHF2+fLmenl5jY2NISIiNjU2PHj18fHyePHny5s2bZcuW\n9evXT0dHx8PD486dO8J1NjU1xcbGOjs7czgcS0vL0NBQqdOmdtjb29va2l67dq28vFy4nB5P\nmTVrlhR1SnjTQOGQcwC8l5BwKCWKopKSkrS0tFauXFlbW9tqTFVVlaOj43fffcdms319fXk8\nXlxc3NChQ4XjeTyej4/P1atXp0yZMmDAgJMnT3p5ebm7u1+9enXatGkuLi5Xrlzx9fXl8/l0\nfGNjo7u7+/r162tra318fHR1dRMTE0eMGPH48WOZf0C6k+PHH38ULk9PT1dVVRX7OExbdYq9\nadAhrfZkSNK9gU4mgA8Q5nAoKwsLi+jo6LCwsIiIiKSkpJYBUVFR5eXl8fHxoaGhhBCBQLB2\n7dotW7bEx8f/85//pGPq6+tVVFR+/fVXVVVVgUAwfPjw/Pz8kSNHZmZmstlsgUAwfvz4S5cu\nlZeX9+nThxCSlJSUm5sbHBy8bds2FoslEAg2btwYFRUVHh6ekpIieeOzs7OZLdaEeXp6Llmy\nhH49Z86c9evXp6Wl0e0nhPz+++/FxcUTJ040NDTsaG0S3jToqLbmdbY1UUPCVAMb1gO8hwQg\nTk5OjpubW2Njo4TxiYmJjoQIxP0MISQ+Pr6jjdm4cSMh5Ny5cwKBgMvl2tnZURSVl5dHH7W2\ntjY0NBQIBI2NjSwWa9CgQXw+nzm3oaHBxMSkR48e9Nvg4GBCSG5uLhOwatUqQsiZM2dELpef\nn0+/NTMzMzExaWhoYAL4fP7AgQM1NTW5XK4k7c/Pz2/nv8YlS5YIBzs5ORFCHj58SL/dtGkT\nISQlJaWjtUl408QaPnz45s2bJYkEsb9q8KsJQB4aGxsJITk5OYpuSCswpKLE1NTUkpOTBQLB\nkiVLeDye8KGysjI+n+/u7q6i8v//FbPZbBcXl2fPngkPKAhvo8pmswkhwlu/0iW0urq6yspK\nR0fHx48fl/2lvLzcwcGhoaGhtLRU8pbPnj271f8ck5OThcPoUZVjx47Rb0+cOKGmptZyPEXC\n2mjt3DSQCXoRFJFCAborAD54SDiUm6ura1BQUFFR0Y4dO4TLq6qqCCHGxsYi8aampoSQR48e\nMSXCGUlbJTR6/ub58+f7/N3hw4cJIfKYFTFr1iwVFRV6jmdFRUV+fr6Xl5fI6hpSaOumwbtr\nf2d5YXRSKP8WAUBXgTkcSm/Tpk3p6ekbNmyYOXMmU9izZ09CyJMnT0SC6RI67ego+qxx48bR\nYzEihPtFZMXU1HTMmDGXL19+8ODBmTNniLTPp7TU6k0DAAD5QcKh9AwMDBISEgICAr744gum\nsHfv3iwW6+rVqwKhuXuNjY3Xrl0zMDAwMDCQ7kIGBgZ1dXUigxp5eXnV1dVyWh3c39//8uXL\naWlpGRkZ6urqU6dOlUm1rd40AACQHwypyB5FUWWEzBL381B26w3MnTvXw8MjPT39/v37dIm6\nuvr8+fNv3769bds2uqS5uTkyMrKqqiooKEjqCy1dujQvL2/Pnj1MSUFBwejRo7du3SqntRN8\nfX3V1dX37NmTmZk5ceLEbt26yarmljcNAADkBz0csufl5fXnmjViw4IImTBhgkyuSFHUt99+\na29vL7w5WUxMTEZGRkhIyJEjR6ytrQsLC+/cuWNjY7N27VqpL7RmzZqTJ08uWrRo165dtra2\nJSUlN2/e1NHRSUhI6FA9bT3ISgjZsGGDvb0981ZPT2/SpEknT54kf98/RbrahLV60wAAQE6Q\ncMiejY3N5s2bO/mi1tbW4eHhMTExTEnPnj1v3boVERGRmZl5/Pjxfv36ffnll9HR0dra2lJf\nRUdHJz8/Pzo6+sKFC2lpacbGxgEBARERER2dwFFZWXn8+PFWD3322WciJf7+/idPnmSz2d7e\n3u9em7CWNw3ekaCDy290NB4AlBdW1xEvNzd37dq1ly5dUldXV3RbQJGcnZ19fHzWSNB99YHr\n6Ebz2JgeQFa4XK6GhkZOTo6rq6ui2yIKPRwAIGMdzRiQYQB8CDBpFAAAAOQOCQfIRnJycndx\nIiIiFN1M6BKov1N0cwCgM2BIBWQjICBA7CauWlpandMY6MpaZhitbtXWViKC8RcAJYWEA2RD\nW1v7XZ5/gQ+cSM7RTrcHfQhpB4DSwZCKkklKSqIoauvWrSLlDQ0NHh4eFEUtXry4ublZIW2T\nn7y8vIULF1paWrLZbAMDAycnp9jY2JcvX4qEXb9+XaSvXlVV1cLCYvHixSKre0keCbKFARSA\nDxZ6OGSvpqbm8uXLkvwFNm7cOH19/Xe/IpfLnT59+pUrVz799NOdO3e2tfuaMuLz+aGhodu3\nbyeEcDgcJyen6urqGzdu5Ofnb9u2LS0tbcyYMSKnmJub0/vaE0KePn1aWFj4/Z+G2BQAACAA\nSURBVPffHzx4MD09XWSlNckjoTNJkpS0OgoDAF2aTDa5f7/l5OS4ubk1NjZKGL99+3aiQkg3\ncT8qZOvWrR1tDL3BaWJiIlPS1NTk6+tLCPHz8+PxeB2tsIv7/PPPCSFGRkZnzpxhPt2rV69W\nrlxJCFFTU8vPz2eCr127RgiZO3eucA18Pn/Tpk0URXXr1u3FixcdjRQ2fPjwzZs3y/gTKr8O\n/VaR5HcRfncBSK2xsZEQkpOTo+iGtOL9+VO46+Dz+aQfIVfE/fQnfD7/3a8VGBh44sQJX1/f\n/fv3s1gsmXyELiIzM3PHjh1GRkZFRUWTJk1iPp2Ojk5iYmJycnJTU1NgYGD7Q0gqKipr166N\njo5+9epVy6Eo6SKB0WpvRDtdFAIJ8glJYgBA6SDhUGICgWDp0qWHDh3y9vY+cuSImpqa8NGa\nmpply5bZ2dlxOJwhQ4asXr36zZs3zFETE5PAwMA//vhj3rx5vXr1Mjc3nzFjxh9//CF5ACGk\nqakpNjbW2dmZw+FYWlqGhoY+e/aMOfrZZ5/p6enxeLyYmBgLCwtNTU07O7u9e/dK/gHj4+MJ\nIRs3bjQ1NW15dPHixUOHDr17925GRobYqoKDg7W0tHbs2CH2y0zySJBOqzcWdxvgvaesCUd9\nfX15efmrV68+2N9TAoEgJCRk9+7d48ePP3bsmMiy61VVVY6Ojt999x2bzfb19eXxeHFxcUOH\nDq2trWViysrKXFxcLl686Ozs/NFHHx0/fnzYsGF5eXkSBjQ2Nrq7u69fv762ttbHx0dXVzcx\nMXHEiBGPHz8WbklQUNDu3bu9vb3nzZv38OHDhQsXnjhxQpIPyOVyL168yOFwFixY0GqAiorK\nihUrCCHnz58XW5uhoaGTk1NNTU11dbWsIkHqGaDC/9vSfa3tBIitAQCUgtIkHAKBoKCgYOXK\nlVZWVhwOh8PhWFhY6OrqamtrW1lZrVix4tatW4puY6eKjIykt56fPHkym80WORoVFVVeXh4f\nH5+fn79///5bt26FhYXdu3eP7jOgXb16ddCgQffu3UtLS7t27drBgwfr6urCwsKYX+XtByQl\nJeXm5gYHB9+5c+fAgQMFBQUxMTGlpaXh4eHMJWpra3NzcwsLC//9738nJyefOXOGEHLs2DFJ\nPmBZWVlDQ4O1tbWqaptTmwcMGEAI+e233ySp0NzcnBDy4MEDGUaC1JhhXbEBUqQjANAFKUfC\nweVy/fz8hg4dum3btufPn9va2np6evr6+np6eg4cOLCmpmb79u2Ojo6ffvopj8dTdGM7w+7d\nu7/++uvZs2d369YtPDxc5ElOLpebkpIyaNAgemYlIYSiqJiYGBMTk+TkZOHI7du3d+vWjX49\nd+7cSZMmZWZm3rt3T5KAxMREExOTuLg4emoFRVGRkZEDBw48evRoU1MTU8P69et79OhBvx41\napS2trbwsEs7ampqCCF9+vRpJ6Zv376EkOfPn0tSoZGRESHkzz//lGHkB67TvvhFpp51zkUB\nQLaUI+H4+uuv09LSnJ2ds7Kynj17lp+ff+HChePHj1+4cCE/P//p06d5eXmenp4HDhz45ptv\nFN3YzlBcXDx37txDhw4lJCS8efMmMDBQeP5pWVkZn893d3cXfj6WzWa7uLg8e/aMGVUxNTV1\ncHAQrpZ+FrS0tFRsQF1dXWVlpaOj4+PHj8v+Ul5e7uDg0NDQwNRACGGeOyWEUBTVsjOmLRwO\nhxAiMkAj4smTJ0ykWE+fPiWEmJmZyTASJES1oOgWAUBnU46E44cffjA3N79y5crIkSNbdrCz\nWCwnJ6ezZ8/a29t3aE6i8vL29t63bx+LxVqwYIGXl1d2djY9vEKrqqoihBgbG4ucRU+9fPTo\nEf22Z8+eIgH0V2xFRYXYgPLyckLI+fPn+/zd4cOHCSHCM0W6d+8u3Wfs1asXi8UqKSlp5y/a\n4uJi8lc/h1j052q/y6SjkSDJDNCOPskCAO8l5Vj4q7Kyctq0ae3/cayqqurm5rZ79+5Oa5UC\njR07lk68KIravXv3oEGDIiIiJk+ebG1tTf5KFOi//oXRJcwTH/Tf8cLo7gQTExOxAXQl48aN\nCw4Obtk8Kysr5rXU3ys6OjouLi7Z2dmnTp2aMmVKqzEpKSmEEC8vL7G1vXjxIj8/39DQ0NDQ\nUFaRQMMYBwBIQjl6OMzMzK5fv06vZ9IWPp+fm5v70UcfdVqrughzc/OEhIS3b9/OmzePnsLS\nu3dvFot19epV4W+CxsbGa9euGRgYGBgY0CWPHj0Smfxx4cIFQkj//v3FBtD11NXVTfs7U1NT\nNTU1qXs1RNAPoYSEhLx69arl0fT09FOnTpmZmc2cOVNsVUlJSfX19Z9//rnYBEjySJAEbiMA\n0JQj4Zg/f35FRYW7u3t2dnbLaaF8Pj8/P3/ixImFhYXz589XSAuFqampkd8JGSru5x4RWTlD\navTASl5eXlxcHCFEXV19/vz5t2/fZsZZmpubIyMjq6qqgoKCmLMEAsEXX3zR0NBAv01NTf3p\np5+GDx8+aNAgSQKWLl2al5e3Z88epsKCgoLRo0dv3bpVVt8x06dPnz59+oMHDwYPHpyVlcXk\nTw0NDdHR0TNnzlRRUUlJSdHQ0Ginkubm5i1btkRHR+vq6tIZzLtHAgBARynHkEp4eHhxcfHR\no0fd3Nz09PT69eunr6+vo6Pz+vXrmpqa+/fv088pzJkzZ82aNYpuLJk/f76tra3YHdRUVFSc\nnZ1lckVmYCUqKsrb23vQoEExMTEZGRkhISFHjhyxtrYuLCy8c+eOjY3N2rVrmbM++uijGzdu\n2NjYuLi4lJeXX7t2jcPhJCYmMulC+wFr1qw5efLkokWLdu3aZWtrW1JScvPmTR0dnYSEBJl8\nKPpzHThwQF1d/ciRI6NGjdLX17ezs6upqSkuLubz+To6OgcPHvT09BQ5KzMzc8aMGfTrp0+f\nFhUV1dXVsdns1NRUPT096SJBagKBAJ0cAECI8uxH0NzcfPPmzc8//7xPnz7CkznYbHafPn0+\n//zzmzdvNjc3y+PSHd1LRa5a7qXCoDsbhgwZwuVyBQLBixcvli5dOnDgQC0tLQcHhy+//PL1\n69dMsLGx8YgRIx4+fDh9+nRTU1NTU9Np06bRMzQlDBAIBG/evAkLC3N0dNTU1Ozdu3dgYGBp\naSlzdMmSJYSQmpoa4VMMDQ3Hjh3b0U99+fJlf39/c3NzdXX1bt26DR48eMOGDU+fPhUJo3dI\nEcZisczNzRcuXPjf//5Xukhh2EtFOsr+ywdAiXTlvVSUcsdFgUBQV1dXU1ND93PI+++n3Nzc\ntWvXXrp0SWQ1T6VmYmJiZWWVnZ0tdcAHyNnZ2cfHpyv0oimdlv+TtvWbRyRSGX9BASgQl8vV\n0NDIyclxdXVVdFtEKceQigh6P09mQSoA6OIkzBta5iXYhh7gvaGUCQcAKDvJOyaRcwC8H5Tj\nKRV4zyQnJ3cXJyIiQtHNBHnBNFKADxB6OD5Q7S8ZLknAuwgICJg2bVr7MVpaWvJrAAAAdDLl\nSDg69Iziy5cv5dcSkAltbW1tbW1FtwIAADqPcgypxMXF9evXr7a2tra2Vl9fv3e7FN1Y+UpK\nSqIoauvWrSLlDQ0NHh4eFEUtXrxY7BIgyuLGjRstN/1i0EuwZ2dnUxTl5ubWag1ZWVkURY0d\nO1bC2gghsbGxFEUNGDCAy+W2rDA+Pl5W66gCAHxQlKOHY9GiRYGBgd7e3hkZGYmJiWJ74xWr\noKBgy5Ytkiz8tXr16qFDh777Fblc7vTp069cufLpp5/u3LlTeJPY94CZmVmrK6TR/V6urq69\nevXKzs6urKxsub/riRMnCCGzZ8+WsDZGSUlJXFzcunXr3r39IDlBa6uEYcYowPtBORIOQoiq\nqury5cszMjIU3RDxMjMzjx69RMh0cYEnnJyc3j3h4PF4c+bMOXfunJ+f3969e9+zbIMQMnLk\nyNTU1LaOqqio+Pn5bdmy5ccffxRZj1wgEKSnp7NYLB8fHwlrE7Zx40Y/Pz9LS0upWw5SoNML\nPJkC8P5RmoSDEDJkyBBtbW0WiyXDOv/888/58+fz+fx2Yp49e9bxNT/MCdkpLuZGB+tsBZ/P\nDwwMPHHihK+v7/79+2V7c5SFv7//li1bjh49KpJwFBYW/u9//xs/fnyPHj06WmdQUNCuXbuW\nLVt27tw5PFIhc2J7MpBtALx/lOmv4Z49e75+/frjjz+WYZ26urqenp7j2tVl/8YVCARLly49\ndOiQt7f3kSNHRLaCq6mpWbZsmZ2dHYfDGTJkyOrVq9+8ecMcNTExCQwM/OOPP+bNm9erVy9z\nc/MZM2b88ccfkgcQQpqammJjY52dnTkcjqWlZWho6LNnz5ijn332mZ6eHo/Hi4mJsbCw0NTU\ntLOz27t3r8zvg729va2t7bVr18rLy4XL6fGUWbNmSVHntGnT6CG8tLQ02bQS/o5e6rjla+gQ\nqoBifhTdFgAxlKmHQx60tLRWrVrVfszOnTsPHTrUOe2RnEAgCAkJ2b179/jx448dOyay7HpV\nVRW949qwYcN8fX2Liori4uJOnz59/fp1XV1dOqasrMzFxUVDQ2PkyJEVFRXHjx+/cOHCxYsX\nhw8fLklAY2Ojh4dHbm6ujY2Nj4/PnTt3EhMTT58+nZmZyUzAJIQEBQVduHBh6tSpfD7/4MGD\nCxcu1NPT8/X1leGtoCjK399//fr1P/74Y2hoKFOenp6uqqoq3YwfiqKSkpL+85//rFy5csKE\nCcxNA9lCnvEuRJIMqoASDMH9hK7rQ084lFdkZCS9+/zkyZOFd7OjRUVFlZeXx8fH01/AAoFg\n7dq1W7ZsiY+P/+c//0nHXL16ddSoUadOnaIHjA4dOvTJJ5+EhYX98ssvdHd3+wFJSUm5ubnB\nwcHbtm1jsVgCgWDjxo1RUVHh4eEpKSn0JWpra3NzcwsLC+lBjTlz5ri7ux87dqxDCUd2djaz\np6swT09Pen84uub169enpaUxCcfvv/9eXFw8ceJEQ0PDjtZGs7CwiI6ODgsLi4iISEpKkrzB\nAJ2g1S4N5BzQpXXOHnFKLTk5uUO7xSYmJhLiSIhA3M+Q+Pj4jjaG3i12wIABhJDZs2d369ZN\nS0tLZIPTxsZGFos1aNAgPp/PFDY0NJiYmPTo0YN+a2xsTAgpKioSPnHSpEmEkOLiYkkCzMzM\nTExMGhoamKN8Pn/gwIGampr0drX09/fBgweZgObmZm1tbcl3i83Pz2/nP90lS5YIBzs5ORFC\nHj58SL/dtGkTISQlJaWjtW3cuJEQcu7cOYFAwOVy7ezsKIrKy8sTCATDhw/v0aOHoaGhhO0H\nkB9yk7T6o+h2gYJ15d1ilWkOR/uqqqocHR0dHR0V3ZDOUFxcPHfu3EOHDiUkJLx58yYwMFB4\n3mtZWRmfz3d3dxd+YoXNZru4uDx79qy2tpYuMTU1dXBwEK52woQJhJDS0lKxAXV1dZWVlY6O\njo8fPy77S3l5uYODQ0NDA1MDIYTOA2gURbXsjBFr9uzZrf63m5ycLBzm7+9PCDl27Bj99sSJ\nE2pqai3HUySsjaamppacnCwQCJYsWcLj8TracgAAYLw/CQeXy71169atW7cU3ZDO4O3tvW/f\nPhaLtWDBAi8vr+zsbHp4hVZVVUUIobsohJmamhJCHj16RL/t2bOnSAC9jkVFRYXYAHp65vnz\n5/v83eHDhwkhTE5DCOm0ZbJmzZqloqJCz/GsqKjIz8/38vLq0Bq1rXJ1dQ0KCioqKqL7lgAA\nQDrvzxwOY2PjixcvKroVnWTs2LGqqqqEEIqidu/ePWjQoIiIiMmTJ1tbW5O/EoUnT56InEWX\n0GkHIeTp06ciAfT+KcyUz3YC6ErGjRsXHBzcsnlWVlbM6057ptTU1HTMmDGXL19+8ODBmTNn\niLTPp7S0adOm9PT0DRs29OvXTyYVAgB8gN6fhENTU3PcuHGKbgXjJSHHxMXUyORK5ubmCQkJ\nixYtmjdvXnZ2tqqqau/evVks1tWrVwVCqx00NjZeu3bNwMDAwMCALnn06NH9+/f79u3LVHXh\nwgVCSP/+/cUG0PXU1dWJjFnk5eVVV1cravFvf3//y5cvp6WlZWRkqKurT506VSbVGhgYJCQk\nBAQElJWV0XkegMIJhghazhvFjFHoypR1SKW+vr68vPzVq1eCrvdYnYWFhYHBK339Je3/GBjU\nWlhYyOSK9MBKXl5eXFwcIURdXX3+/Pm3b99mxlmam5sjIyOrqqqCgoKYswQCwRdffNHQ0EC/\nTU1N/emnn4YPHz5o0CBJApYuXZqXl7dnzx6mwoKCgtGjR2/dulVRK2X5+vqqq6vv2bMnMzNz\n4sSJHV+urU1z58718PCoqal5/vy5rOoEeEci6QWyDejilObPNYFAUFhYuH///tOnTz9+/Li+\nvp4u19TU7Nmz5+TJkxcsWCAyw1FRfHx8hNfS7gTMwEpUVJS3t/egQYNiYmIyMjJCQkKOHDli\nbW1dWFh4584dGxubtWvXMmd99NFHN27csLGxoVfsuHbtGofDSUxMZNKF9gPWrFlz8uTJRYsW\n7dq1y9bWtqSk5ObNmzo6OgkJCbL9dG09yEoI2bBhg729PfNWT09v0qRJJ0+eJH/fP0W62oRR\nFPXtt9/a2tq+NxvjwfsBSQYoE/k8/CJjjY2NzHi8np7esGHDPD09fX19PT09hw0bxowRBAQE\nNDU1yfzqHX0sVq7oqYuJiYktD9GdDUOGDKGfSn3x4sXSpUsHDhyopaXl4ODw5Zdfvn79mgk2\nNjYeMWLEw4cPp0+fbmpqampqOm3atJKSEskDBALBmzdvwsLCHB0dNTU1e/fuHRgYWFpayhyl\nH4utqakRPsXQ0FBWj8USQi5evChyCj1plM1m071fUtQm/FisCHrOLB6LBYAuqys/FqscCUdU\nVBQhxNnZOSsrq2VKwePx8vLyPD09CSFff/21zK/epRIOWaHziXcJ+AANHz588+bNim4FAECb\nunLCoRxzOH744Qdzc/MrV66MHDmy5aw9Fovl5OR09uxZe3t7eWzVAQAAAO9IORKOyspKZ2fn\n9teMUlVVdXNzE9m+CwAAALoC5Ug4zMzMrl+/TvcUtYXP5+fm5n700Ued1iqQWnJycndxIiIi\nFN1MAACQGeV4SmX+/PlRUVHu7u7ffPONs7OzyKgKn88vKCiIiIgoLCykZ/yBWPQSXu8S8C4C\nAgLEbuKqpaUlvwYAAEAnU46EIzw8vLi4+OjRo25ubnp6ev369dPX19fR0Xn9+nVNTc39+/fp\n1RHmzJmzZs0aRTdWvoqKigYPHixSaGpqOnDgwPDwcA8PD4W0qqPu3Lmza9euK1euVFVVaWlp\nWVlZTZkyZfny5SIrkV+/ft3FxUW4hMVimZmZjR8/fu3atcIrkkkeCQAACqEcCYeamtqRI0fC\nwsL27dt3+vTp27dvv337lj7EZrNNTU39/f0DAwMHDx6sqCWnOpmpqamrqyv9msfjlZaWXrp0\n6dKlS3v27FmwYEHntOH06dMff/zxgQMHPvnkE8nP4vP5oaGh27dvJ4RwOBwnJ6fq6uobN27k\n5+dv27YtLS1tzJgxIqeYm5szO8A9ffq0sLDw+++/P3jwYHp6Or2ZnBSRANAOZg1TrPMBsqTo\nx2Sk0dzcXFtbW1ZWVltb29zcLO/LdfSx2LS0NBaLJfbOs1is1NTUjjamsLCQEDJ16lSR8kOH\nDhFC9PT06uvrO1qndE6dOkUIOXDgQIfO+vzzzwkhRkZGZ86c4fF4dOGrV69WrlxJCFFTU8vP\nz2eCr127RgiZO3eucA18Pn/Tpk0URXXr1u3FixcdjXwXeCwW5KTr7C+P/e6VXVd+LFY5ejhE\n0F8hMly4WrYqKyv5vXuT1rY7F8ZftqyyslJWF/X3909OTs7Kyrp3796QIUNkVa1sZWZm7tix\nw8jIqKioiNlDjhCio6OTmJhoY2Pz2WefBQYG/vbbbyoqbU5nVlFRWbt2LZfLjYqK2rp1a0xM\nzLtHAihKy/1QqAJKUf0KLRtDFNoeeM8ox1MqykdHh4wbJ+ZHR0e21zQ3NyeE0EmMt7c3h8MR\nPsrj8SiKEh7+qKio8Pf3t7Cw6NWr14IFC168eDFy5EhnZ2cmoKmpKTY21tnZmcPhWFpahoaG\nPnv2jD40YcKEjz/+mBASEBBAUVR1dbUkLYyPjyeEbNy4UTjbYCxevHjo0KF3797NyMgQW1Vw\ncLCWltaOHTsE4jbTkTwSoIto9Ytfgbpae0BJIeF4TzQ1NdFLdzN7vbavuLh46NChR48etbKy\ncnV1PXv27Lhx416+fMkENDY2uru7r1+/vra21sfHR1dXNzExccSIEfTTK6tWrVqxYgUhZPHi\nxSkpKSLJTau4XO7Fixc5HE5bs0xUVFToOs+fPy+2NkNDQycnp5qaGrG5juSRAJ0MX+TwQUHC\nofR4PN7vv//+6aeflpaWDhkyxMrKSpKzwsPDq6urf/7558uXL6empt69e1cgENy9e5cJSEpK\nys3NDQ4OvnPnzoEDBwoKCmJiYkpLS8PDwwkhnp6e48aNI4SMGjUqMDCw/TXZaGVlZQ0NDdbW\n1u3s8D5gwABCyG+//SbJR6B7dB48eCDDSIAuArkIvH+QcCiln376ifqLmpqajY1Nampqz549\n9+7dK8l81fLy8p9//nnq1KmTJ0+mSwwNDUWWMElMTDQxMYmLi6MrpCgqMjJy4MCBR48ebWpq\nkqLNNTU1hJA+ffq0E0M/vyrhFvBGRkaEkD///FOGkQBdhyQ5B1VAMT/yawnmcIBMKOWkURB+\nLJYQwuFwHB0d582bp6+vL8np9+7dI4S4u7sLF44ePZp5XVdXV1lZOWHCBJHlvxwcHO7evVta\nWkp3RXQIPezS/npiT548YSLFevr0KSGE3sFVVpEASkQkyaDfvktyIBgiQM8KyA8SDqXk5OT0\n448/dugU4SmTFRUVhBBjY2PhAB0dHW1tbfo1vSXN+fPnW+2QqK2t7WiDCSG9evVisVj0Bvdt\nLZdSXFxM/urnEIv+FO13mXQ0EqAzif2Cb2c9DDllBi2bhO4NkBUkHB8K5gETQoiJiQn56+9+\nRn19fX19Pf2afopk3LhxwcHBLauScJqICB0dHRcXl+zs7FOnTk2ZMqXVmJSUFEKIl5eX2Npe\nvHiRn59vaGhoaGgoq0iATkY/cSrh0AmR9ru/owkEMgyQEyQc7y0ul8vn85kpHfQzLDRra2tC\nSGZm5hdffMEU5ubmMq8NDAwMDAzq6upEdjzJy8urrq7u3r27dE1asWJFdnZ2SEiIu7t7y2VU\n0tPTT506ZWZmNnPmTLFVJSUl1dfXr169WuzaspJHAnQO4QygQx0VkqQdIstmdKl1PuADh4RD\nPioqyJIlYmLKy+V3/e7duzc1NV2+fHn8+PGEkJqamqioKOZo3759PTw8Tpw4ce7cuYkTJxJC\nXr58KbI769KlS7/66qs9e/YsXLiQLikoKBg9erSbmxsz1ZQQ0v4WviKmT58+ffr048ePDx48\neN++fSNHjqSTgIaGhn/961+xsbEqKiopKSkaGhrtVNLc3BwXFxcdHa2rq0s/RvvukQCdRt6T\nJNrPNphy5BzQ+ZBwyN7YsWODSkrEx/n6jh07Vk5tmDFjxg8//DB16lR/f38NDY3Tp0/369ev\nV69e9FGKouLj493d3b29vceMGWNkZHT16lVra2t7e3tm+7Q1a9acPHly0aJFu3btsrW1LSkp\nuXnzpo6OTkJCAh1AT/jYtm3b/fv3161bJ8lMT4qiDhw4oK6ufuTIkVGjRunr69vZ2dXU1BQX\nF/P5fB0dnYMHD3p6eoqclZmZOWPGDPr106dPi4qK6urq2Gx2amqqyGZvkkcCKK/204V3nzoK\nICdIOGTPzs5u586dim2Dt7f3gQMHtmzZcvjwYT09vTlz5sTGxtrb2zMBjo6ON27cCAsLy8nJ\n0dPT8/Pz++qrr+zs7OjpHYQQHR2d/Pz86OjoCxcupKWlGRsbBwQEREREMBM4RowY4evre/bs\n2V27dn355ZcSNkxTU/Pw4cOLFi3as2dPVlbW9evX2Wy2vb39xx9/vHz58h49erQ8paKigp71\nSQhhsVg9e/acNWtWeHh4y7mlkkcCdEF0liBhFwieKAGlQ2G9Z7F27tx56NChS5cuqaurK7ot\nssHn8x8+fMjhcJj0ghBSV1fXvXv30NDQTZs2KbBtXZmzs7OPj8+aNWsU3RBQDsIJAdPl0E6W\nIElMh2qT5FrwnuFyuRoaGjk5OcJLJ3QR6OH4EKmoqIwePZrNZt++fVtLS4sQIhAINm3axOVy\nZ82apejWASg9KaZqSp4BIFcAJYWE40NEUdS6deuWL1/u4ODg6elpbGyck5Nz8eLFCRMmDB48\nWNGtA3g/STL3giar4ZK26kHKAgqBhOMDFRwcbGRktHXr1qNHj/J4PCsrq1WrVgk/ydIhycnJ\nkZGR7ccsWbLkq6++kq5+ACXSfq4gSTIhnJpItwwXE4aFvKDrQMLx4Zo5c6YkK15IIiAgQGTF\njpbosRsA6NCTq1Iv9iWcc0hRA4DMIeEAGdDW1maWRQcAAGgJu8UqmaKiIqqFnj17enp6/uc/\n/1F068S4ceNGy8Yz6EdmsrOzKYpyc3NrtYasrCyKouj1SySpjRASGxtLUdSAAQO4XG7LCm1s\nbKReOBWgVZL3KOC5VvigoIdD9l6/fn39+nVJIp2dnSXcGVWE8G6xPB6vtLT00qVLly5d2rNn\nz4IFC6SoUAqnT5/++OOPDxw48Mknn3ToRDMzM2dn55bl9Npcrq6uvXr1ys7OrqysbLm/64kT\nJwghs2fPlrA2RklJSVxc3Lp16zrUVAD56YQN5bEIGHQpSDhkb9++fSs/X9mNiO4VIuIVeZWw\nLUF4NxPJtdwt9vDhw3Pnzl21apWfn18Xny0xcuTI1NTUto6qqKj4+fltdn/qdwAAIABJREFU\n2bLlxx9/FFmPXCAQpKens1gsHx8fCWsTtnHjRj8/P0tLS6lbDiArsso2Wp2CKlKItAO6CAyp\nyB6Px7Mjdi/Ii/Z/HIgDj8eT1UX9/f3d3Nxevnx57949WdWpKP7+/oSQo0ePipQXFhb+73//\nGzt2bKsLkrYvKCjo7du3y5Ytw0p3IG+yeqJV8kjh4LaegsHwDSgcEo73h7m5OSGksrKSEOLt\n7S0yWMPj8SiKEh7+qKio8Pf3t7Cw6NWr14IFC168eDFy5Ejh4YmmpqbY2Fh63MfS0jI0NJTZ\n437ChAkff/wxISQgIICiqOrqahl+EHt7e1tb22vXrpX/fX87ejxFuqXJpk2b5u3tnZGRkZaW\nJptWAkhL8oVEJUenHe0/c4ucAxQLCcd7oqmpid6Avn///pLEFxcXDx069OjRo1ZWVq6urmfP\nnh03btzLly+ZgMbGRnd39/Xr19fW1vr4+Ojq6iYmJo4YMeLx48eEkFWrVtHjHYsXL05JSZFu\nJkpbKIqiOzlEho3S09NVVVXFPn/bVp1JSUlaWlorV66sra2VTUMBWvMuO6uJdFd0FFIK6Mow\nh0Pp8Xi8+/fvR0dHl5aWDhkyhNlcrX3h4eHV1dWnTp2i95p//vz5uHHj7t69O3z4cDogKSkp\nNzc3ODh427ZtLBZLIBBs3LgxKioqPDw8JSXF09OzsbFx27Zto0aN6uik0ezsbGZPV2Genp5L\nliyhX8+ZM2f9+vVpaWmhoaF0ye+//15cXDxx4kRDQ8OO1kazsLCIjo4OCwuLiIhISkrqUJsB\nZEV+W8Mj24AuDgmHUvrpp58oSvSXS8+ePffu3ctiscSeXl5e/vPPP0+bNo3ONgghhoaGGzdu\npEdJaImJiSYmJnFxcXSFFEVFRkampaUdPXp0165dampqUje+srLy+PHjLcuFH0/t27evk5NT\nXl5eWVlZ7969CSHp6emktfEUSWpjrFy58sCBA99+++2nn37q5OQk9UcAaJ/Y5UTbmuwpz0Zh\n3igoGBIOpST8WCwhhMPhODo6zps3T19fX5LT6Yml7u7uwoWjR49mXtfV1VVWVk6YMIEeQGE4\nODjcvXu3tLR0wIABUjd+9uzZkjxX4u/v/+uvvx47dmz16tWEkBMnTqipqbUcT5GwNpqamlpy\ncvKIESOWLFmSn5+vqor//kFhRHIOZAPw3sMvXKXU8rFYsYSfzqioqCCEGBsbCwfo6Ogwq4XS\nszXPnz/fp0+fllV1zhyIWbNmhYaGpqWlrV69uqKiIj8/39vbW2R1DSm4uroGBQXt2rVrx44d\nISEhMmkqgHQ6M8lAQgMKh4TjQ8E8YEIIoVfhfPr0qXBAfX19fX09/drU1JQQMm7cuODg4JZV\nSThN5B2ZmpqOGTPm8uXLDx48OHPmDJH2+ZSWNm3alJ6evmHDBlltJQPQkqx2fJXJFZFtQFeA\nhOO9xeVy+Xw+M6WDfoaFZm1tTQjJzMwUXnYsNzeXeW1gYGBgYFBXVycyhJGXl1ddXd1pa4H7\n+/tfvnw5LS0tIyNDXV196tSpMqnWwMAgISEhICBAulXXACSkkIkarTajk68I0Co8Fit7qqqq\nt8ltA2LQ/s8tckt+cwi6d+/e1NR0+fJl+m1NTY3w1vN9+/b18PA4ceLEuXPn6JKXL19GREQI\n17B06dK8vLw9e/YwJQUFBaNHj966davwfNXGxkY5fQRCiK+vr7q6+p49ezIzMydOnNitm5jF\nWyU3d+5cDw+P9PT0+/fvy6pOgJZEvuw7YVpoJ18RQHLo4ZC9Tz/9tGfPnnw+v/0wFotFb0Im\nDzNmzPjhhx+mTp3q7++voaFx+vTpfv369erViz5KUVR8fLy7u7u3t/eYMWOMjIyuXr1qbW1t\nb2/PTJJYs2bNyZMnFy1atGvXLltb25KSkps3b+ro6CQkJNAB9ISPbdu23b9/f926dZIvxdHW\ng6yEkA0bNtjb2zNv9fT0Jk2adPLkSfL3/VOkq00YRVHffvutvb19qzu6AcgQujQA/o8AxElO\nTnZzc2tsbFR0QwQCgaCwsJAQMnXqVLGRBw4csLOzY7PZJiYmISEh9fX1ffv2nTt3LhNQWlrq\n4+NjZGTUv3//0NDQhoYGKyurefPmMQFv3rwJCwtzdHTU1NTs3bt3YGBgaWkpc7SxsdHX15fN\nZhsaGj5//lySxgsP67Tq4sWLIqfQC4Oy2exXr15JV9vGjRsJIefOnWvZHrrXx9DQUJLGCwSC\n4cOHb968WcJgAAUiNwnzo+i2QKeie51zcnIU3ZBWUAJsLSHOzp07Dx06dOnSJXV1dUW3RTb4\nfP7Dhw85HA6zhzshpK6urnv37qGhoZs2bVJg27oyZ2dnHx+fNWvWKLohAO3pChNHQFG4XK6G\nhkZOTo7w0gldBIZUPkQqKiqjR49ms9m3b9+mt5YVCASbNm3icrmyehIEAGRFJIFoP3toa+c2\n5BygcEg4PkQURa1bt2758uUODg6enp7GxsY5OTkXL16cMGHC4MGDFd06APj/WiYQyB5ASeEp\nlQ9UcHBwWlqakZHR0aNHExISnj9/vmrVKql3Uk1OTu4ujshTMAAgVlvrakixwgd2WgGFQw/H\nh2vmzJmyWvkqICBA7Cau9NgNwIdMgWuZo1MEFA4JB8iAtrY2syw6ALRKpI9BHiMj6MaArgxD\nKgAActfWXE55XwKg60APBwBAFyWrDVmEu1KwRS0oCno4AAAURrp8QupEoeWwjnT1AEhBuXs4\n6urq7t27p6ura2lpKb99SQAA5ERs6kAHMJnBu/RJYIkOUCzl6OHYtWtXZGSkcElpaamXl1e3\nbt2cnJysra05HE5ISMirV68U1UIAAPmhd2WTLjMQSVkAFEU5egX279+fk5MTGxtLv338+LGz\ns/OLFy/69+8/fPhwVVXVGzdubN269fLly/n5+RoaGoptLQCAiE7Yql5WEz4A5EQ5Eg4R4eHh\nL168iImJiYiIYLFYhBCBQBAXFxcWFrZp06bo6Gh5XPT777/HqM0H7unTp4puAigxkYRAHgMZ\nnXAJAKkp5Tdodnb2wIED169fT1H/978WRVFffvnl/v37z549K4+EIysr6/Xr1yoqyjECBXJi\nYGDQ1n73AJLohAygrUug/wMUTikTjqqqqmnTpjHZBo2iKAcHh/T0dDldNDMzk8PhyKlyAACF\nQC8IdBqlTDj69+//4MGDluVVVVXdu3fv/PYAAHSODu0cK6JlJweyDehMyjRGsGrVquTk5MuX\nL8+aNSsvL+/EiRPCR8+cOXPlyhVXV1dFNQ8AQK5a3Tm2QzUwT7tI/cwLgNSUo4fD3NxcQ0Mj\nISFBuDAwMNDX15cQ8vr168DAwPT0dA6HExUVpaA2AgDIUTs7xyJ1AKWgHAnHkSNHmpubKysr\n7wt59OgRffT169fHjx93c3NLTk62sbFRbFMBAACgJeVIOAghKioq5ubm5ubm7u7uIof09fUr\nKio++ugjRbQLAAAAxFOmORzC6uvry8vLX716JRAINDQ0kG0AAAB0ZUqTcAgEgoKCgpUrV1pZ\nWXE4HA6HY2Fhoaurq62tbWVltWLFilu3bim6jQAA8tLOAhud3BIA6SjHkAqXyw0ICEhLSyOE\n6Onp2dra6uvr6+jo1NXV1dTUPHjwYPv27du3bw8ICNi7dy/WAwWA9xIW7wKlphzfzV9//XVa\nWpqzs/M333zj7OwsklLw+fybN29GRkYeOHDA1tY2PDxcUe0EAJArZic2dGyA0lGOIZUffvjB\n3Nz8ypUrI0eObNmBwWKxnJyczp49a29vv3fvXoW0EACg0yDbAGWkHAlHZWWls7Mzm81uJ0ZV\nVdXNza28vLzTWgUAAAASUo6Ew8zM7Pr1642Nje3E8Pn83NxcPK4CAADQBSlHwjF//vyKigp3\nd/fs7GwejydylM/n5+fnT5w4sbCwcP78+QppIQAAALRDOSaNhoeHFxcXHz161M3NTU9Pr1+/\nfvRTKq9fv66pqbl///7z588JIXPmzFmzZk2Haq6srJwxY0ZTU1M7Mc+ePSOECAQYNAUAAJCS\nciQcampqR44cCQsL27dv3+nTp2/fvv327Vv6EJvNNjU19ff3DwwMHDx4sMie9WIZGhrOmTOn\noaGhnZi8vLzy8vKO1gwAAAAMShn/cBcIBPQKHHQ/h7xTgZ07d3722Wd1dXUcDkeuFwIAAHgX\nXC5XQ0MjJyenC+6drhw9HCIoiurWrVu3bt0U3RAAAACQiHJMGgUAAACl9v4kHFVVVY6Ojo6O\njopuCAAAAIhSyiGVVnG5XOzfBgAA0DW9PwmHsbHxxYsXFd0KAAAAaMX7k3BoamqOGzdO0a0A\nAACAVijrHI76+vry8vJXr14p42O9AAAAHxqlSTgEAkFBQcHKlSutrKw4HA6Hw7GwsNDV1dXW\n1rayslqxYgUmcAAAAHRZyjGkwuVyAwIC0v5fe3ceF9V573H8GRkDygCDMREEJBggEne8wVEh\nIY1xzYJLEpfSQJKm3jZWklp9kWiTNLnaxERbetu6hbpEqaTRmKjVmtYYkWgQd6lXxKQgyNUg\nKuACDOf+cVruODswZ2bO8Hm//APONr9zcsp8+5znPE9+vhBCr9cnJCTIQ37Jw3+dO3cuJycn\nJycnPT09NzfXcv56eIBGI2h8AgD8mzq+mxctWpSfn28wGJYsWWIwGMwihdFoLC4uXrBgwfr1\n6xMSErKzsz1VJ4QQonXg19YfSB4A0Omp45HK2rVro6Ki9uzZk5ycbNmA4efnl5SUtGPHjkGD\nBuXm5nqkQvyL1WHmmYYGADo9dQSOyspKg8EQEBBgZxutVpuSklJeXu62qmCOYAEAsEEdgSMi\nIuLAgQO3bt2ys43RaCwsLIyMjHRbVQAAwEnqCByZmZkVFRWpqakFBQXNzc1ma41GY1FR0fjx\n448cOZKZmemRCgEAgB3q6DSanZ1dUlKyadOmlJQUvV4fFxcnv6VSX19fW1tbVlZWU1MjhJg+\nffr8+fM9XWwnJkk8VQEAWKWOwNG1a9e8vLx58+atWbNm27ZtJ06cuHnzprwqICAgPDx8xowZ\nGRkZQ4cO1fCFBwCA91FH4BBCaDSaxMTExMTEnJwcSZLkETjkdg5Chhex2sjBa7EA0OmpJnCY\n0mg0wcHBwcHBni4E1hAvAAAWVBk44Bo0RQAA3EUdb6nA9RihCwDgRgQOAACgOAIHbkcjBwBA\nAfThQNuZhRJ6fgAAHKGFA7dzmB4sm0BoFAEAOELggCuQOQAAdhE4OiurLRmmCzUaGjMAAK5C\nH45OzNbTE9NUIf9MLw0AQMcQOOBEu4VGQ+YAAHQEj1Q6vTY9JSF2AADahcCBNnLY+QMAAAsE\nDrSdabyQJNIGAMAh+nCgXQgZAIC2oIUDAAAozkHgqKurO378+JUrV6yuvXDhwrfffuvymuB1\n2t2eIQ/mYXVIDwBAZ2IzcPzP//zPQw89FBwcPHjw4B49ekyZMuX8+fNm20yaNCkmJkbhCqEw\nW51ATf+1j1nIIHYAQCdmvQ9HVVXV8OHDr169OnLkyD59+uzZs2fz5s0HDx7cv39/dHS0m0uE\n4pTokEG2AACYsN7C8dprr129enXdunX79+/Py8urqqrKysqqrKxMT09vaWlxc4lQnDvDAUEE\nADol64GjoKAgOTk5PT39Xxt16fL+++9PnTp13759a9ascV91UJRp7wp6WgAAlGQ9cFRVVd17\n7723bdely29/+9ugoKDs7GxbfUjhg0x7fZJIAADtZT1w3HvvvcXFxUaj0XRhWFjY4sWLL168\n+Oyzz/JgRfVsRQfLmduc3NFJDOABAJ2S9cAxYcKEkydP/vCHP/zf//1f0+U//vGPx48f/+mn\nn86dO7ehocEtFUKdCBYAABPWA8fChQsHDhz4xz/+MSwsLCYm5syZM/JyjUazbt06g8GwbNmy\nqKio06dPu7FUeA0nGznMMgeDoANAJ2Y9cAQGBh46dGjZsmUPP/zwrVu3rl+/3rqqZ8+ef//7\n3xcuXBgQEHD16lV31Ql16vhgHgAAn6CR2vtNYDQay8vLv/3224cffti1NXmbFStWzJo1q66u\nTqfTeboWl7LaUGF6P9hpySBAAID3aWxs9Pf3379//8iRIz1diznHk7ddvHjx7rvvbv11586d\nXbt2HTlyZLdu3WJiYhhpVMUkyTxSOBkjSBsAgDayN5fK2rVrhw4dOmbMGNOFn3zyyejRo0ND\nQ3/1q1+ZvcYCdTB9wdX+EOa2ggUvygIA2sh64JAk6Uc/+lFGRsbRo0cTEhJMV02ePHnSpEld\nunTJzs6eMmVKu5/IwAPM8oEzY2w40/2CzAEAcMR64Ni5c+fKlSvj4+NPnjyZl5dnumrMmDGb\nN28+ceJEYmLi1q1bP/vsM7fUCbewFR3IHACAjrEeOH79618LIT7++OP+/ftb3eDee+/dsGGD\nn5/fihUrFKwOLuRkJlBisC8AQKdnPXCcPn16wIABAwYMsLNnv379+vXr1zpEB3yT8700CCUA\nANusB47q6urw8HCHO4eFhZWXl7u6JHgHOoQCAFzHeuC46667HI4iKknSqVOn7rzzTgWqgqe1\nI2rQfRgAYJv1wJGcnFxRUXH8+HE7exYXF1dXVw8fPlyZwuBqjLEBAPAc64Fj1qxZQojJkyfX\n1NRY3eDq1avTp08XQmRmZipXHFxMoTDByOUAAEesB47U1NSf/OQnZWVlCQkJ7777bnV1det4\nG5cvX16+fHm/fv3Onj07ZcqUxx9/3I3VosPMRvoyDQrtyA1EDQCAc2wObZ6TkxMaGrp48eL5\n8+fPnz+/e/fukZGRFy9evHLlirzBs88+u3z5cg39CtWOxAAAUJ7NwNGlS5e33norPT39gw8+\nKCoqOnv2bGlpaWho6PDhwwcMGPDcc8954cQwcBnLaVYAAOgAB5O3xcfHv/POO/LPzc3NWq3j\nyd7gI9qaOUw3ptUEAHA7ewHi+vXrp0+frqysjI+Pj42NJW10OvYzh52J7FtnhgMAQAhhZ7bY\nDz74ICIiYtiwYU888US/fv2SkpKOHTvmzsrsa2hoKC8vv3btGrPHuVKb5oBlwlgAgNOsB47P\nP//8hRdeuHLlyoMPPjhjxozY2NjDhw9PmDChtrbWzfW1kiTp8OHDWVlZsbGxOp1Op9NFR0eH\nhIQEBgbGxsbOmTPHq/KQKlltpXDhAQEAnZj1pySLFy8WQuTl5U2bNk0I0dTUlJ6evmnTprVr\n12ZlZbm1QCGEEI2Njenp6fn5+UIIvV6fkJAQGhoaFBRUV1dXW1t77ty5nJycnJyc9PT03Nxc\nHv20h6052+g9CgBwBevfzSUlJf3795fThhCia9eur7/++qZNmzzVirBo0aL8/HyDwbBkyRKD\nwWAWKYxGY3Fx8YIFC9avX5+QkJCdne2RIn0WmQMA0GE2J2+LjY01XRIXFyeEqKurc0dRFtau\nXRsVFbVnz57k5GTLBgw/P7+kpKQdO3YMGjQoNzfXIxWqTJs6agiTAb7aNNIX3WsAAP9ms9Oo\n2fe6Z59TVFZWGgyGgIAAO9totdqUlBRmr3XALGc4jB1mQ5ECANAuNgOHV4mIiDhw4MCtW7fs\nbGM0GgsLCyMjI91Wlfq47ckIQ54DAG6njsCRmZlZUVGRmppaUFDQ3NxsttZoNBYVFY0fP/7I\nkSNMJtcecudQS7ZCg62NLednAQBACGFn4K/CwsK0tDRnFn7yySeur+t22dnZJSUlmzZtSklJ\n0ev1cXFx8lsq9fX1tbW1ZWVl8qy206dPnz9/vtLF+CyzzqH2c0ObNgYAdHoaqwNntWlKNvcM\nvSVJ0pEjR9asWbNt27YLFy7cvHlTXh4QEBAeHv7YY49lZGQMHTpUicnkVqxYMWvWrLq6Op1O\n5/KDu5WTw4YCANSpsbHR399///79XjjfmfUWjiNHjri5Doc0Gk1iYmJiYmJOTo4kSfIIHHI7\nBzPWAgDg5awHjiFDhri5jjbRaDR+fn7kjDazNaIGzRsAAIW1udNoVVXVZ599VlhYePXqVSUK\nsoWhzV3DMluQNgAAyrMZOCorK59//vn777+/dUlDQ8O4ceMiIiKeeOKJUaNGRUZG/uY3v3FL\nkaKxsXHatGnDhg37zW9+U1NTk5CQ8Oijj06ePPnRRx/t379/bW1tTk7OkCFDfvCDH1i+wwJz\npq+TkDYAAG5h/ZHKxYsXhw4dWltbO2rUqNaFCxcu3LVr18MPP/ziiy/W19f/7ne/y8rKiomJ\neeKJJ5SukqHNAQBQNetvqfz0pz9du3btvn37Bg0aJC+5detWeHh4SEjIqVOnunfvLoS4fv36\nsGHD7r777r179ypdZUxMjNFoPHPmjJ3BRpubm4cNG3b9+vXS0lLXfrrvvKUCAPBp3vyWipVH\nKvX19Xv27JkyZUrfvn3r/+3Pf/5zbW3ts88+29LSIi9paWmZMWPGqVOn5F8VrZKhzQEAUDUr\nLRzte/tD0dE45BaO0tJSf39/W9sYjcYHHnjg6tWrZWVlrv10WjgAAKqgshaO0tLSfv36PfPM\nM6Um7r333h49evzjH/8wXTh37tzg4GD5Z0WrZGhzAABUzUqn0djY2DFjxmzYsGHp0qW9e/cW\nQnzyySdlZWVz587t169f62YNDQ3bt2+///77zSayV4JyQ5tXVFSMHTvW/rRw165dE+4aUBUA\nAJ9kvdNoZWXlgAEDtFrtE088UVdXt3nz5oCAgOPHj/ft21cIcfz48YMHD65evfrrr7/euHHj\n9OnT3VCoQkObNzY2bty4sbGx0c42X3755YYNG3ikAgDwct78SMV64BBCHD9+fM6cOV999ZUk\nScOGDVu+fHnrGyvf//73N2zYEBAQsHDhwuzsbPeP+Onmoc3pwwEAUAVvDhw2Z4sdNGjQnj17\njEaj0Wi84447TFf95Cc/efHFFwcMGNCjRw/lK7RCo9EEBwcHBwd75NMBAEBbWQ8cpaWler3+\nrrvu8vPzKy0tlUfgaF07YsQId5UHAAB8gfWhzQcNGvT222/LPyckJGzZssWNJbVTVVXVkCFD\nvHzaOS+h0fz/PwAA3MB6C0fPnj3/9Kc/hYWFBQUFCSE+//xzO0N7vfTSS0pV1xaNjY3M3+YM\ns5Ch0TChCgBAcdY7jX7wwQcvvvhiS0uLM4fwkvdFb9y4sX//fiHE6NGjXXtkX+o0aqtJo83/\nDU0P5B03AABAfZ1Gn3/++YkTJ5aVlUmSlJKSkp2dPWHCBDdX1lbdunVzedSAFZaZhUYSAIAj\nNt9SCQsLCwsLE0LMnDlz3LhxycnJbqzKsYaGhpqaGr1e74bXYn2GgteJzAEAsMtm4Gj14Ycf\nuqEOh+SBv9atW7dt27bq6uqGhgZ5ebdu3Xr37j1x4sTnnntu8ODBni3S95HtAADtYj1wyG0b\nTqqurnZRMTY1Njamp6fn5+cLIfR6fUJCgjzklzz817lz53JycnJyctLT03Nzc7Vaxymqc5Ik\nAgMAwDOsfzebTY9SXl5eUVEhhAgLC+vdu3d1dXVVVZUQYuzYsW6YSEUIsWjRovz8fIPBsGTJ\nEoPBYBYpjEZjcXHxggUL1q9fn5CQkJ2d7YaSvJZlpOBZBwDA42wObd7q2LFjDz744NChQ3Ny\nclpHNy8pKZk9e/aZM2f27t0rT7CiKHl6+jNnzgQEBNjaprm5ediwYdevX3f51LUqekvFmZdQ\nzLbp0PspHToQAMDFvPktFesDf5l6++23AwMDP/vss9a0IYS4//77t27d2tLS4p7mhMrKSoPB\nYCdtCCG0Wm1KSkp5ebkb6lE1Sbrtn8sOCgCAbY4DR2FhYUpKijwCmCmdTpecnLxv3z5lCrtN\nRETEgQMH7E8ibzQaCwsLIyMj3VCP6riy64ZltiBtAAAccRw4JEk6f/681VXl5eVdu3Z1dUlW\nZGZmVlRUpKamFhQUNDc3m601Go1FRUXjx48/cuRIZmamG+rp7BRpJAEA+DLHL3QkJSVt3br1\no48+euqpp0yXb9q06cCBA1OmTFGstv+XnZ1dUlKyadOmlJQUvV4fFxcnv6VSX19fW1tbVlZW\nU1MjhJg+ffr8+fPdUI/qkAoAAJ7luNPoqVOnkpKSrl+/Pnny5HHjxoWFhV24cGHnzp1btmwJ\nCgo6dOhQfHy8GwqVx+FYs2bNtm3bLly4cPPmTXl5QEBAeHj4Y489lpGRMXToUCUGAfOxTqMA\nAF/lzZ1GHbdw9O/ff8eOHXPmzNm8efPmzZtblw8fPnzp0qXuSRtCCI1Gk5iYmJiYmJOTI0mS\nPAKH3M7BSKOtrI60QdoAAHicU2NkPfTQQ4cPHy4qKiotLa2uro6KioqPjx8yZIjZN/1rr702\nf/784OBgZUr9fxqNJjg42A0fpEbECwCAF3J2UM4uXboMHz58+PDhdrZZsWLF7NmzyQEAAMAM\no4D7mo6O6wUAgAIcvxYLFbE6dTwAAB5H4PB9ZA4AgMcROHxH+4IFcQQA4Ab04eikTHOG/DO9\nPQAAyqGFA/9CUwcAQDkEDt/hfBOFrWxB5gAAKITA4V00mg5969vKHCQJAIBn0YfDW7ikUwXB\nAgDgnWjh8ApWg0Jb04Or0obcykJ2AQC4UIcCx/vvvz9v3rzWX99+++2goKAOl4Q2a2s+sNN2\nYtbQQuwAALiEU49Uzp8///e///3y5cumC2/cuLFs2bIuXbq8++678pJZs2a5vkCf5vDrXKNR\n6m1Vy3llrc40q2gNAIDOw3HgOHz48Pe+972rV69a2VmrbU0baBOXtBw4fxCricFsIY0ZAADl\nOH6k8tZbb127dm3p0qW7du0aMGDA+PHjv/rqq7y8vPj4+HHjxmVlZbmhyk7LyWcf9o9A+wQA\nwOMcB46DBw8OGDDg5ZdfHjNmzPPPP19VVWUwGKZNm7Z79+5du3atW7fODVX6mI63JTifNgAA\n8AaOA8d3332XmJgo/zxy5MiTJ082NDQIIfr06ZOamkrgUI6b4wKEagV7AAAgAElEQVTpBACg\nHMeB46677rp06ZL888CBAyVJ2rt3r/xrjx49Dh06pGB1nY/8BMTlz0Fa33Rtx4snBBEAQMc5\nDhwGg2HXrl2bN29ubm7u1q1bv379PvnkEyGEJElff/11cHCw8kX6Gjd/hVsmDFuZw7Iw0gYA\nwCUcB46FCxcGBgZOmTJlzZo1QoixY8euWrVq6tSpDz300DfffDNhwgTFa+w0lPh2b+u0KaZN\nLKQNAICrOH4tdsiQIcXFxevWrYuJiRFCvP7662VlZZ9++mlTU9Ojjz76X//1X8oX6YPk73LT\nb/02fbvbGjPDjP1tGGADAOA2Tg38FRsb+8tf/lL+OSQkZOvWrfX19U1NTaGhoUrW5vs68n3v\nZOawj8wBAHAPZ4c2r6ys/Pzzz1t/3bRpU3l5uTIlwVlkBQCAWjgOHE1NTa+88kpkZOTcuXNb\nF77++utDhgz58Y9/bDQalSwPDph1uaDjBQDAOzkOHCtWrFi2bFlSUtIbb7zRuvDDDz8cN27c\nH/7wh9WrVytYHQAA8AlOBY7o6Oi9e/empaW1LkxNTf3ss8/i4+NXrlypZHkw15ERNQAA8BTH\ngePcuXMPPfRQQECA2XKtVjtixIgzZ84oUxhuYythOD/GhlU8fwEAuIfjwBEVFVVRUWF11T//\n+c/w8HBXlwRzDt9udXJLM6QNAIDbOA4cycnJX3zxxebNm82Wb926de/evSNGjFCmMLgYfUsB\nAB7keByOxYsX79y5c8qUKY8++uiDDz4YFhb23XffFRQUbN++/a677vrVr37lhio7M1d11GDI\nDQCABzkOHHfddde+ffsWLFiwcePG3bt3ty6fOHHikiVLeKTSQeQAAEBn4NRIozExMRs2bPjN\nb35TWlpaXl7eq1evuLi4iIgIpYvzYZYdL9odO0x3tD/8KOEGAOApzo40KknSpUuXLl269N13\n39XU1Fy+fFniu6u9rGYC52dwBQBAdZxq4Thw4MDPf/7zgoIC04UGg2Hp0qV0GnWhNrVA2NrS\nTiMH2QUA4CmOA8fp06fHjBlTV1c3ceLEsWPHRkREVFdX79q169NPPx0zZsyhQ4fuu+8+NxTa\nmbVpallGAwMAeCHHgePVV1+tq6vbuHHj9OnTWxf++Mc/3rhx48yZM1999dWPP/5YyQrxLx1s\nn6B5AwDgQY77cHz99dcjRowwTRuyGTNmDB8+/ODBg8oUBhej5QMA4EGOA4dGo4mKirK6Kjo6\nmq6j7WCn+4X7PxQAADdwHDgefvjhffv21dXVmS2/fv16YWHhyJEjlSnMKXV1dUVFRWfOnGlu\nbvZgGS5BIAAA+DDHgeO11167efPm448/fvz48daFZ8+enTp1amNj43vvvadkef+ycuXKBQsW\nmC4pLS0dO3ZscHBwUlLSfffdp9PpXn755WvXrrmhGJdQbqBxq4cizQAAPEvj8JlIRkbGN998\n8+WXXwohwsPDe/fuffHixfPnz0uSFBkZGR0dbbqx2auzrpKcnLx///7WUqurq/v373/58uX4\n+Pjhw4drtdpDhw6dOHFi4MCBRUVF/v7+rv30FStWzJo1q66uTqfTufbI7eZwrLB/bWC2lNgB\nAD6tsbHR399///79nn3+YJXjt1R27twphOjVq5cQoqWl5fz580KIu+++WwjR1NR09uxZhSu0\nIjs7+/Lly2+++eZrr73m5+cnhJAk6b333ps3b97ixYvfeOMN95fkNk4OUSpJQlj2EtWQOQAA\nnuE4cFRXV7uhjjYpKCjo37//woULNf/++tVoNHPnzl23bt2OHTt8OHDYGqLUSuaw9U4KmQMA\n4AnODm3uVaqqqgYPHqy5/etXo9EMHjz41KlTnqoKAADYosrAER8ff+7cOcvlVVVVPXv2dH89\nHscYGwAAL6emwPGzn/1s+fLlf/vb355++umDBw9u3rzZdO327dv37Nnjhd1k3ICXUAAAXs6p\nyds8Lioqyt/ff+nSpaYLMzIyJk+eLISor6/PyMjYsmWLTqd7/fXXPVSjl7HaaRQAAA9RR+DI\ny8traWmprKwsMyG/LyOEqK+v//jjj1NSUpYvX96vXz/PlurtaAsBAHiCOgKHEKJLly5RUVFR\nUVGpqalmq0JDQysqKiIjIz1Rl1tZnXre5vMUebnm9l8BAPAE1QQOMw0NDTU1NXq9PigoyN/f\nvzOkDVmbu2uQMwAAXkA1nUYlSTp8+HBWVlZsbKxOp9PpdNHR0SEhIYGBgbGxsXPmzDl27Jin\nawQAANapo4WjsbExPT09Pz9fCKHX6xMSEkJDQ4OCgurq6mpra8+dO5eTk5OTk5Oenp6bm6vV\nquOk3MbsKQyvtAAA3E8d382LFi3Kz883GAxLliwxGAxmkcJoNBYXFy9YsGD9+vUJCQnZ2dme\nqtMLWfb5sD4yKQAASlLHI5W1a9dGRUXt2bMnOTnZsgHDz88vKSlpx44dgwYNys3N9UiF3okB\nwQAAXkIdgaOystJgMAQEBNjZRqvVpqSklJeXu60q9SKIAADcTB2BIyIi4sCBA7du3bKzjdFo\nLCws7DyvqwAAoCLqCByZmZkVFRWpqakFBQXNzc1ma41GY1FR0fjx448cOZKZmemRCgEAgB3q\n6DSanZ1dUlKyadOmlJQUvV4fFxcnv6VSX19fW1tbVlZWU1MjhJg+ffr8+fM9XawK0GkUAOBm\n6ggcXbt2zcvLmzdv3po1a7Zt23bixImbN2/KqwICAsLDw2fMmJGRkTF06FAN3RNMtG1kUgAA\nFKOOwCGE0Gg0iYmJiYmJOTk5kiTJI3DI7RyEDDvMMgdpAwDgEaoJHKY0Gk1wcHBwcHDHD/XP\nf/7z0UcfNRqNdra5du2aEEJS7Xe1agsHAPgOVQYOF4qIiHjnnXcsO6Ka2r1796pVq2hHAQCg\n3XwncFRVVU2YMEEIcfToUef30mq1kyZNsr/N5cuXV61a1aHiAADo3HwncDQ2NjJ/GwAA3sl3\nAkevXr12797t6SoAAIAVvhM4unXrNnr0aE9XAQAArFDHSKOWGhoaysvLr127pt6XRwAA6DxU\nEzgkSTp8+HBWVlZsbKxOp9PpdNHR0SEhIYGBgbGxsXPmzKEDBwAAXksdj1QaGxvT09Pz8/OF\nEHq9PiEhQR7ySx7+69y5czk5OTk5Oenp6bm5uZbz1wMAAM9Sx3fzokWL8vPzDQbDkiVLDAaD\nWaQwGo3FxcULFixYv359QkJCdna2p+oEAABWqeORytq1a6Oiovbs2ZOcnGzZgOHn55eUlLRj\nx45Bgwbl5uZ6pEIAAGCHOgJHZWWlwWAICAiws41Wq01JSSkvL3dbVQAAwEnqCBwREREHDhy4\ndeuWnW2MRmNhYWFkZKTbqgIAAE5SR+DIzMysqKhITU0tKCiwnPfEaDQWFRWNHz/+yJEjmZmZ\nHqkQAADYoY5Oo9nZ2SUlJZs2bUpJSdHr9XFxcfJbKvX19bW1tWVlZTU1NUKI6dOnz58/39PF\nAgAAc+oIHF27ds3Ly5s3b96aNWu2bdt24sSJmzdvyqsCAgLCw8NnzJiRkZExdOhQ35/T1ez8\nGPYMAKAG6ggcQgiNRpOYmJiYmJiTkyNJkjwCh9zO4fsho5XliWrIHAAAFVBN4DCl0WiCg4OD\ng4M9XYh3IHMAALyeOjqN2nLhwoW0tLTCwkJPF+IWnaYdBwDge9QdOBoaGrZu3VpVVeXpQgAA\ngD3qDhwAAEAVVNmHo5OSnHuqwmssAADvQwuH+plGCquvsQAA4GnqbuGIiYm5dOlSUFCQpwtx\nBTkZ2G+QkEy2tNyYbAEA8FbqDhx+fn49e/b0dBUdprH42ZnY0abj82AFAOBR6g4cvsBqs4ST\nEYEmDQCAShA4PMRhVnDY95O0AQBQDzqNup2mXVmhI/GC5ykAAE8jcKgTzRsAAFXhkYp7uTko\n0LYBAPAOBA6fQ8gAAHgfHqkAAADFETjcS+nmB5o3AABeicChEk4mCTqTAgC8EoHD7WiEAAB0\nPgQOAACgON5SUYM2NYrYmtoNAADPIXC4hZNdKySXbsmcbQAAr0HgUF6bOnLamoDe8iBkDgCA\nehA4PKc1W1hmArMldmaU5bUUAIAa0GnU02iBAAB0ArRweI7DCegBAPAVBA6vIecPsz4cHUSI\nAQB4Bx6peB/SBgDA5xA4lOeRL37SBgDAmxA43EIySQD2o4DzzRuS7aORNgAAXoY+HG5kmjna\n8dzEVowgXgAAvB4tHAAAQHEEDg/hUQgAoDMhcHiOZPdXSwwqCgBQLfpweFRbmzScnBuFCWMB\nAF6GFg4v0/GIoLn9Z9pFAABegMDhfTqSOWxN8wYAgEcROAAAgOLow+FNnGmKsNM/g5YMAIC3\nooXDa7Q1LhAvAADqQeBQMya4BwCoBIHDO9BcAQDwaQQO32LZyCHR8gEA8Dy1Bo6Ghoby8vJr\n165JEl+nt5Nu/wcAgBdQTeCQJOnw4cNZWVmxsbE6nU6n00VHR4eEhAQGBsbGxs6ZM+fYsWOe\nrrEDSAYAAJ+mjtdiGxsb09PT8/PzhRB6vT4hISE0NDQoKKiurq62tvbcuXM5OTk5OTnp6em5\nublarfedlJNDkrcVMQUAoBLe991szaJFi/Lz8w0Gw5IlSwwGg1mkMBqNxcXFCxYsWL9+fUJC\nQnZ2tqfqtEJj8YOtlCDdvpnDtaQNAIB6qOORytq1a6Oiovbs2ZOcnGzZgOHn55eUlLRjx45B\ngwbl5uZ6pELr2vHuidW+F5LFWtIGAEBV1BE4KisrDQZDQECAnW20Wm1KSkp5ebnbqnLAVtpw\nMoWQLQAAPkQdgSMiIuLAgQO3bt2ys43RaCwsLIyMjHRbVQAAwEnqCByZmZkVFRWpqakFBQXN\nzc1ma41GY1FR0fjx448cOZKZmemRCgEAgB3q6DSanZ1dUlKyadOmlJQUvV4fFxcnv6VSX19f\nW1tbVlZWU1MjhJg+ffr8+fM9XSwAADCnjsDRtWvXvLy8efPmrVmzZtu2bSdOnLh586a8KiAg\nIDw8fMaMGRkZGUOHDtVovGaQcMlGdw36ZAAAOh91BA4hhEajSUxMTExMzMnJkSRJHoFDbufw\nopBhxjJzkDYAAJ2SagKHKY1GExwcHBwc7OlCnEDCAABALZ1GAQCAqhE4AACA4ggcAABAcero\nw6HX653f+MqVK8pVAgAA2kEdgeO9995bsWLFoUOHhBD33HNPSEiIpysCAABtoI7A8cILL2Rk\nZDz22GO7du1atmxZWlqapysCAHQizNXdcarpw6HVal966SVPVwEA6Fw0FgMqeevQT95OHS0c\nssTExMDAQD8/P08XAgDo1DSO2jloEbGkpsDRu3fv+vp6T1cBAOgs2tGYYbmLw3TSSajmkQoA\nACrFUxihrhYOJXz77bfDhw9vamqys82tW7eEEJJEQgUA2EOwsKOzB44+ffp88MEHN27csLPN\n7t27V61a5b1TxAEAlGFr2m+0g+8EjqqqqgkTJgghjh496vxeXbp0eeyxx+xvc/ny5VWrVnWo\nOACAD6HFux18J3A0NjYeO3bM01UAAHxBa8OGZSMHaaN9fCdw9OrVa/fu3Z6uAgCgbpajbjif\nMGw9giGjCF8KHN26dRs9erSnqwAAqJjVuNDBzEHakKn1tdiGhoby8vJr167x8ggAQGlt6joq\n3f4PMtUEDkmSDh8+nJWVFRsbq9PpdDpddHR0SEhIYGBgbGzsnDlz6MABAPASGpN/kKnjkUpj\nY2N6enp+fr4QQq/XJyQkhIaGBgUF1dXV1dbWnjt3LicnJycnJz09PTc3V6tVx0kBAHxSR3qB\n+DB1fDcvWrQoPz/fYDAsWbLEYDCYRQqj0VhcXLxgwYL169cnJCRkZ2d7qk4AgE9yPjF0vBeI\nr1LHI5W1a9dGRUXt2bMnOTnZsgHDz88vKSlpx44dgwYNys3N9UiFAAAfQCxQjjoCR2VlpcFg\nCAgIsLONVqtNSUkpLy93W1UAAFXQON2pws5Lrc4chB4bdqgjcERERBw4cECe08QWo9FYWFgY\nGRnptqoAAN7P6vStTm4pTNKG8xvDKnUEjszMzIqKitTU1IKCgubmZrO1RqOxqKho/PjxR44c\nyczM9EiFAAAv1PGmCNozXEUdnUazs7NLSko2bdqUkpKi1+vj4uLkt1Tq6+tra2vLyspqamqE\nENOnT58/f76niwUAqE+704O8o8O2DfqNqiNwdO3aNS8vb968eWvWrNm2bduJEydu3rwprwoI\nCAgPD58xY0ZGRsbQoUOZ0xUA4DYaix9gizoChxBCo9EkJiYmJibm5ORIkiSPwCG3cxAyAADw\ncqoJHKY0Gk1wcHBwcLCnCwEAqJLl0w1b867BVdTRadSWCxcupKWlFRYWeroQAIA3stptwiN9\nKTp5Bw6h9sDR0NCwdevWqqoqTxcCAPBSpjOo2Z9Nzfm51kgP7aDKRyoAALRJm+aXF3Yfr7Qp\nbRBNWqm7hQMAADdzvqsHacMUgQMAgDZzGCZIG2bU/UglJibm0qVLQUFBni4EANDpWEYKJwcB\n65zUHTj8/Px69uzp6SoAAF7E8pGH2xIAUcMOdQcOAABMWe1g0Y5hxR12He04s4P7fFihDwcA\nANYpN4yH83PY+gwCBwDA97X761yy+2tba9B04ulneaQCAIA9CjVpdDa0cAAAfJ/P95DwfrRw\nAADQBu3o7EnzhqCFAwDgS5SerU3pzp72O3moGi0cAACfotzTEzudPV3+ob43hhgtHAAAKKvd\nucGXmjoIHAAAeIbkW20Y9vFIBQAAV2ptljANE5ZDl7phMFOvQuAAAKBDWoOFWXqw7IfRedoz\nLPFIBQAAmzQ2WizQVrRwAABghcbiZ8niOYittg2z47Q7qfhSxCFwAABgzv6ss5KjLZ0n2T6C\nL6UNQeAAAMDb+FjUkBE4AAC4jfONFi55x8Qn44UlOo0CAHAb1yaATpInHCJwAACgFNJGKwIH\nAADtZCdPdKpRRJ1B4AAAwJzzs87aShWdZwhRJ9FpFAAAK5xvn7D1aqsSs8iqFy0cAAB0FO0c\nDtHCAQCAJ1mGEp9sF6GFAwAABdlv5LD1LMb3EDgAAFCQTzZXtAOBAwAAr+N7jRwEDgAAXICW\nDPsIHAAAuIZk8SsppBVvqQAA4DKuShi+l1Ro4QAAwGPaNHqpqtHCAQCAJ7XGC98emZQWDgAA\nvIIPpw1B4AAAAG6g7kcqdXV1p0+fDgkJ6du3r1ar7nMBAMCHqaOFY+XKlQsWLDBdUlpaOnbs\n2ODg4KSkpPvuu0+n07388svXrl3zVIUAAMAOdbQKrFu3bv/+/W+//bb8a3V1tcFguHz5cnx8\n/PDhw7Va7aFDh37961//7W9/Kyoq8vf392y1AADAjDpaOMxkZ2dfvnz5zTffLCkpWbduXW5u\n7rFjx959990TJ04sXrzY09UBAABzqgwcBQUF/fv3X7hwoZ+fn7xEo9HMnTt3wIABO3bs8Gxt\nAADAkioDR1VV1eDBgzWa26a20Wg0gwcPPnXqlKeqAgAAtqgycMTHx587d85yeVVVVc+ePd1f\nDwAAsE9NgeNnP/vZ8uXL//a3vz399NMHDx7cvHmz6drt27fv2bNn5MiRnioPAADYoo63VKKi\novz9/ZcuXWq6MCMjY/LkyUKI+vr6jIyMLVu26HS6119/3UM1AgAAm9QROPLy8lpaWiorK8tM\nnD9/Xl5bX1//8ccfp6SkLF++vF+/fp4tFQAAWFJH4BBCdOnSJSoqKioqKjU11WxVaGhoRUVF\nZGSkJ+oCAACOqakPhy3+/v6kDQAAvJkvBA4AAODlCBwAAEBxBA4AAKA4dXQa1ev1zm985coV\n5SoBAKAdNLf/KnmmCk9SR+B47733VqxYcejQISHEPffcExIS4umKAABwlsbaks6WOdQROF54\n4YWMjIzHHnts165dy5YtS0tL83RFAAA4xTJttC7vVJlDNX04tFrtSy+95OkqAABAe6gmcAgh\nEhMTAwMDW6ekBwAAaqGORyqy3r1719fXe7oKAADQZmpq4QAAQHVsddToVB04hLpaOJRw7ty5\n+++//9atWw631Ghs9fsBAAAOdPbAERMT89e//rWxsdHONqdOncrKyuratavbqgIA+JLWxozO\n9maKKd8JHFVVVRMmTBBCHD161Pm9NBrNgw8+aH+b7t27d6gyAACEEJ04bQhfChyNjY3Hjh3z\ndBUAAMAK3wkcvXr12r17t6erAAAAVvhO4OjWrdvo0aM9XQUAALBCra/FNjQ0lJeXX7t2TZI6\n8xMxAADUQTWBQ5Kkw4cPZ2VlxcbG6nQ6nU4XHR0dEhISGBgYGxs7Z84cOnAAAOC11PFIpbGx\nMT09PT8/Xwih1+sTEhJCQ0ODgoLq6upqa2vPnTuXk5OTk5OTnp6em5ur1arjpAAA6DzU8d28\naNGi/Px8g8GwZMkSg8FgFimMRmNxcfGCBQvWr1+fkJCQnZ3tqToBAIBVGlX0gYiJiTEajWfO\nnAkICLC1TXNz87Bhw65fv15aWuraTy8sLBw1atStW7fuuOMO1x4ZAAAXamxs9Pf3379//8iR\nIz1dizl19OGorKw0GAx20oYQQqvVpqSklJeXu60qAADgJHUEjoiIiAMHDtif8cRoNBYWFkZG\nRrqtKgAA4CR1BI7MzMyKiorU1NSCgoLm5maztUajsaioaPz48UeOHMnMzPRIhQAAwA51dBrN\nzs4uKSnZtGlTSkqKXq+Pi4uT31Kpr6+vra0tKyurqakRQkyfPn3+/PmeLhYAAFiQVKKlpaW4\nuHj27NkxMTGmnTkCAgJiYmJmz55dXFzc0tKixEcXFRV58D8QAABtUlRUpMS3YQep4y0VM5Ik\nySNwyO0cGo1G6U88duyY5aMc+yZMmJCWlpaSkqJQSZ3EK6+8MmnSJC5jB7388suTJ0/mMnZQ\nVlbW1KlTk5OTPV2IunEZXWLOnDmzZ89+/PHHLVdptdrBgwe7vyTHPJ14fNY999zzxz/+0dNV\nqB6X0SWio6PXrFnj6SpUr0+fPmvXrvV0FarHZXSJqKiodevWebqKtlFHp1FbLly4kJaWVlhY\n6OlCAACAPeoOHA0NDVu3bq2qqvJ0IQAAwB51Bw4AAKAKBA4AAKA4AgcAAFCcOgb+siUmJubS\npUtBQUGeLgQAANij7sDh5+fXs2dPT1cBAAAc4JEKAABQHIEDAAAojsChlDvuuOOOO+7wdBWq\nx2V0CS6jS3AZXYLL6BJqvIyqnEtFFSoqKsLCwrp27erpQtSNy+gS5eXl4eHhXMYOKi8v7927\nt1ar7q5vHsdldAk1XkYCBwAAUByPVAAAgOIIHAAAQHEEDgAAoDgCBwAAUByBAwAAKI7AAQAA\nFEfgAAAAiiNwAAAAxRE4AACA4ggcAABAcQQOAACgOAIHAABQHIEDAAAojsABAAAUR+Bos6am\nprfffvvee+/19/e/995733rrraamJif3Xb16tV6vd+0xVaodp+xwl+nTpydbWLlypZLn4QFK\nXDruQO7A9uHvoUsocRm98W6U0BYtLS3Tp08XQkRGRk6dOjUiIkIIMW3atJaWFof7NjU1PfDA\nAyEhIS48pkq145Qd7mI0Gv39/S3v8Ndee81dp+UOSlw67kDuwPbh76FLKHEZvfNuJHC0TXFx\nsRBi+PDhN27ckCTpxo0bSUlJQojDhw/b2auqqmr79u3jxo0TQljeGe07pqq145Qd7lJeXi6E\neOWVV9xzCp6ixKXjDuQObB/+HrqEEpfRO+9GAkfbzJ49Wwixb9++1iX79u0TQmRlZdnZKzAw\nsDVgWt4Z7TumqrXjlB3usmfPHiHEH/7wB+XK9gZKXDruQIk7sF34e+gSSlxG77wbCRxt07dv\nX71e39TU1LqkqalJr9fHxsba2evTTz/dsmXLli1b7rnnHss7o33HVLV2nLLDXVavXi2E+Pzz\nz5Ur2xsocem4AyXuwHbh76FLKHEZvfNupNNoG0iSVFVVFRsbq9VqWxdqtdrY2NgLFy7Y2fHx\nxx9PS0tLS0sLCQlx1THVqx2n7MwuZWVlQoiioqJhw4YFBgbed999zz//fHV1tZKn4m5KXDru\nQBl3YFvx99AllLiMwlvvRgJHG9TV1d28ebNHjx5my0NDQxsaGhoaGrzkmF6uHafszC7y/8Be\nffVVrVb75JNP+vn55ebm9u/f/+zZs8qchwcocem4A1txB7YJfw9dQqFT9s67kcDRBrW1tUKI\noKAgs+XykpqaGi85ppdrxyk7s8v58+eDgoI++uijgwcPbty48eTJk2+88cbly5dfeuklBU7C\nM5S4dNyBrbgD24S/hy6h0Cl7592odbxJp2Q0Gr/55pvWXwMDA8PDw0NDQ4UQ9fX1ZhvX1dUJ\nIay+Ce2QEsf0Hq66jM7ssn//ftNVXbp0WbBgwcaNG3ft2lVfX6/T6Tp+Oh6n0KVr6zHVjjvQ\nJfh76BIKnbJ33o20cFhXW1sbZ+I///M/hRBBQUEBAQFyIDXbuHv37pYR1RlKHNN7uOoytu8q\n+fn5DR8+XAjxj3/8wwUn4wWUuHS+fQdaxR3oEvw9dAm3nbI33I20cFgnN0a1/tq7d28hhEaj\nCQ8PLysra2lp6dLlX1lN/j/x4eHhGo2mHR+kxDG9h6suo8Ndbt26VVtbq9PpzJK73A/Laqcq\nNVLi0gkhfPgOtIo70CX4e+gSSpyy196NtHBY5+/vP9XEyJEj5eUTJ06sqamRx2mRFRcX19TU\nTJw4sd2fpcQxvYQLL6P9XS5evBgeHp6RkWG6iyRJhw4dkocKdu15eZDLL137jql23IEuwd9D\nl3D5KXvv3eiBV3HVTL4nxowZ09zcLElSU1PTmDFjhBBHjhyRN7h+/fo333xTWVlpdffBgwfb\nGlnPzjF9Tzsuo8NdkpOTu3Tpsn37dvnXlpaWd999VwgxZ84ct56bwpS4dNyB3IHtw99Dl1Di\nMnrn3UjgaJuWlpZnnnlGCJGYmPjSSy8NGTJECDFz5szWDeCeAaUAAAspSURBVHbv3i2EGDx4\nsNXdrd4ZDo/pe9pxGR3ucvLkSXnove9973szZ84cOHCgEGLgwIFXr15167kpTIlLxx3IHdg+\n/D10CSUuo3fejQSONrt169abb755zz33dOvWbdSoUb/61a8aGxtb17bjznB4TJ/Ujsvo8CqV\nlJQ8/fTTUVFR3bp1GzZs2MKFC+W5CXyMEpeOO5A7sH34e+gSSlxGL7wbNZIkdeiRDAAAgCN0\nGgUAAIojcAAAAMUROAAAgOIIHAAAQHEEDgAAoDgCBwAAUByBAwAAKI7AAQAAFEfgAAAAiiNw\nAAAAxRE4AACA4ggcAABAcQQOAACgOAIHAABQHIEDAAAojsABAAAUR+AAAACKI3AAAADFETgA\nAIDiCBwAAEBxBA4AAKA4AgcAAFAcgQMAACiOwAEAABRH4AAAAIojcAAAAMUROAAAgOIIHAAA\nQHEEDgAAoDgCBwAAUByBAwAAKI7AAcBLnT17VqPR1NfXe7oQAC5A4ADgbsnJyWFhYa2/fvDB\nB3369OnevfvZs2flJVVVVS+//PITTzwhhBg5cmRWVtalS5datz969KjGQu/evR999NG///3v\nlh+3d+/eGTNmREVFBQQExMTEjB8/fteuXbZqW716tV6vd9mpAvg3AgcAT6qurv7Rj3508+bN\nH/7whyEhIUKI48ePDxgwYN26dQMGDBBCDBs2LDc3t3///pWVlaY7hoeHT/m3J598MjQ09PPP\nP3/kkUdyc3Nbt2lpaZkzZ05qampeXp4kSSkpKd27d9+5c+e4ceNmzZplWUxzc/PKlSsVPmOg\ns5IAwL1GjRrVq1cv+eeCggIhxKJFi1rXpqam3nnnnefPny8tLRVC1NXVHTt2TKvVPvfcc/IG\nR44cEUI8+eSTZofdsGGDEEKv1zc0NMhLFi5cKITo27fvkSNHWjc7duxYfHy8EGLt2rWtC6uq\nqrZv3z5u3DghREhIiBJnDXRytHAA8CRJkoQQQUFB8q/Nzc1fffXVk08+GRER0brNoEGDRo0a\n9dVXX9k/1IwZM1JSUq5cuXL69GkhRGlp6eLFi3v27Hnw4MEhQ4aYHu3Pf/6zEGLZsmWtC+Pi\n4iZOnLhz507XnRmA2xA4AF8WFhaWkZFx5syZZ599tk+fPlFRUVOnTj1z5ozpNt99992LL76Y\nkJCg0+kGDx78u9/9rqmpqXXt0aNHn3rqqaioKH9//8jIyMmTJx8+fLhNNZSUlEyaNCkiIiIy\nMvKZZ545fvx466rvf//7KSkpQojZs2drNJrTp0+3tLRIklRXV2d2kC+++KKkpMThZ0VFRQkh\n5Icvq1evbm5unjt3bs+ePc02Gzhw4LRp0yRJunjxorwkLy9vy5YtW7Zsueeee9p0dgCc5eEW\nFgBK6tWr10MPPdSjR4/w8PCnnnrKYDAIIYKCgg4cOCBv8M0330RGRmo0mtTU1PT09OjoaCHE\nyy+/LK8tLS0NCQnx8/MbP378D37wA7lTRUhISEVFhZMFfPHFF927dxdCjBgx4qmnngoPDw8O\nDu7Tp4/8SGXv3r3Z2dlCiJkzZ/7xj3+8cuWKJEkjRozw8/P75JNPWh+pmB3T1iOVxsbGuLg4\nIcTp06clSXr44YeFEFVVVW26YoMHD+aRCqAEAgfgy3r16iWEePDBB69evSov+fDDD+UlclvC\nzJkzhRB//vOf5bU3btx44IEHhBDnz5+X/t0HonWtJEnvv/++uL33gx1Go3Hw4MFCiE2bNslL\nrl69+tBDDwkhWvtw7Nu3Twjx29/+tnWvo0ePBgYGCiFiY2OFEBs2bLh586bpYS0DR1NT0+nT\np6dNmyaESExMbG5uliQpKiqqe/fu8mk6j8ABKITAAfgyOXAcPXrUdOGECROEECUlJZcuXdJo\nNKNHjzZdu2XLlsGDB+/evVuSpM8//3zVqlVNTU2ta+UXSpctW+bMpx84cEAIMWnSJNOFx44d\nsx84JEkqKyv72c9+FhoaKjfE9ujR45VXXmntCioHDqt69+4tn2xTU5NGo4mPj3fyQrUicAAK\n0bry8QwA7xMeHi43M7QaN27cjh07SktL5UcYcpNDq7S0tLS0NPnnRx55RP7hxo0bJ0+eLCws\nXL16tfMfLT8TkV/9aDVo0KCwsDBJkuzs2Ldv3/fee++FF15ISEj4xS9+sXbt2qVLl5aUlPzl\nL38xPa+RI0e2/qrT6YYMGfLss8/KMUWr1er1etPROwB4FoED8HG9e/c2WyK/AFJRUXHjxg0h\nhOkYXGauXr36y1/+cteuXXKviAEDBkRFRZ08edLJj66urhZChIeHW5ZkNqiGVVqtVgjx85//\nfP78+fIrJBcuXGg9WlJSkvyyiS3x8fEHDx68fPlyjx49LNf+9a9/3bx5c1pamlkeAqAQ3lIB\nfFzrixit5BwQFhYmP3D57rvvbO377LPPLl26dOTIkVu3br127dqxY8d+8YtfOP/R8jsj8sdZ\nFmDVV1999f3vf9/0TRYhRPfu3X/0ox8JIQ4dOuT8p8tdXD/66COra1esWLFixYquXbs6f0AA\nHUHgAHzc+fPny8rKTJf89a9/FULEx8fL73Ts37/fdO0XX3wRGRn5wQcf1NfX/+Uvf5kyZcrK\nlSsnTpwod+T89ttvnf9oeXwts8Et/vGPf1RVVdnapampacOGDV9//bXZcnlGlTvvvNP5T3/u\nueeEEG+++ebVq1fNVp07d+4vf/mLv7+/6UMZAIoicAA+TpKkn/70p/LTEyHEn/70p61btw4f\nPnzAgAERERETJkzYtm3bp59+Kq81Go3vvPNOZWXlf/zHfzQ1NTU2Nl68eLG1v0VFRcUbb7wh\nhGg9mn1DhgxJSkravHlzfn6+vKS+vn727Nl2dhkwYEBAQMCqVasaGhpaF964ceP3v/+9Tqfr\n37+/8yc+cuTIH/zgBxcuXHjggQdMxw45c+bM008/fePGjddff71bt27OHxBAh3i0yyoAZfXq\n1SsyMvLuu+/u06fPM888M2LECCGETqcrLCyUNygpKenZs6dGo3n44YczMjLuu+8+IcSsWbPk\ntaNHjxZC9O3bd9q0aWPHju3atetjjz2m1Wrvuuuu999/35kCCgoKdDqdEGLEiBFPP/10RERE\nRETE2LFj7byl8vbbbwsh7r///rlz5woh3nrrrYSEBGHyaoytcTgs3bhxY9KkSfLfuvDw8Ece\neWTgwIFy15AnnnhCfnvWDG+pAAqhhQPwcdHR0QcPHnzggQe+/PLLb7/9Ni0traioSE4eQoiE\nhIRjx47NnDmzvLz8o48+6tat2+9///v//u//ltfm5eW98MILt27d2rFjR2Nj48qVKz/99NN3\n3nlHo9HY6YdhatSoUUVFRZMmTSovL//yyy9Hjhz55ZdfygNs2PLqq69++OGHOp1Onkdt6dKl\nd95555YtW7Kystp67gEBAR9//PGWLVsef/zxlpaWL7/8sqGh4ZFHHtm8efMnn3zi5+fX1gMC\naDeNZPflNACqFhYWFhsbK0+Qpjpnz56Ni4urq6uT20gAqBotHAAAQHGMwwHAS8XGxtIEC/gM\nWjgAtMfy5ct7OvLaa695ukwA3oI+HADao6GhwXISeTPdu3cPDg52Tz0AvByBAwAAKI5HKgAA\nQHEEDgAAoDgCBwAAUByBAwAAKI7AAQAAFEfgAAAAiiNwAAAAxRE4AACA4ggcAABAcQQOAACg\nOAIHAABQHIEDAAAojsABAAAUR+AAAACKI3AAAADFETgAAIDiCBwAAEBxBA4AAKA4AgcAAFAc\ngQMAACiOwAEAABRH4AAAAIojcAAAAMUROAAAgOIIHAAAQHH/B8SiUU6YtOQxAAAAAElFTkSu\nQmCC"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_pca_basic(pca_clean, title = 'pink_salmon.clean')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1] \"Done plotting PCAs\"\n"
     ]
    }
   ],
   "source": [
    "print(\"Done plotting PCAs\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "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": "3.3.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}