{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Generate figures from DESEq2 analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Load data and generate DE results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Registered S3 methods overwritten by 'ggplot2':\n",
      "  method         from \n",
      "  [.quosures     rlang\n",
      "  c.quosures     rlang\n",
      "  print.quosures rlang\n",
      "── \u001b[1mAttaching packages\u001b[22m ─────────────────────────────────────── tidyverse 1.2.1 ──\n",
      "\u001b[32m✔\u001b[39m \u001b[34mggplot2\u001b[39m 3.1.1     \u001b[32m✔\u001b[39m \u001b[34mpurrr  \u001b[39m 0.3.2\n",
      "\u001b[32m✔\u001b[39m \u001b[34mtibble \u001b[39m 2.1.2     \u001b[32m✔\u001b[39m \u001b[34mdplyr  \u001b[39m 0.8.1\n",
      "\u001b[32m✔\u001b[39m \u001b[34mtidyr  \u001b[39m 0.8.3     \u001b[32m✔\u001b[39m \u001b[34mstringr\u001b[39m 1.4.0\n",
      "\u001b[32m✔\u001b[39m \u001b[34mreadr  \u001b[39m 1.3.1     \u001b[32m✔\u001b[39m \u001b[34mforcats\u001b[39m 0.4.0\n",
      "── \u001b[1mConflicts\u001b[22m ────────────────────────────────────────── tidyverse_conflicts() ──\n",
      "\u001b[31m✖\u001b[39m \u001b[34mdplyr\u001b[39m::\u001b[32mfilter()\u001b[39m masks \u001b[34mstats\u001b[39m::filter()\n",
      "\u001b[31m✖\u001b[39m \u001b[34mdplyr\u001b[39m::\u001b[32mlag()\u001b[39m    masks \u001b[34mstats\u001b[39m::lag()\n",
      "Loading required package: S4Vectors\n",
      "Loading required package: stats4\n",
      "Loading required package: BiocGenerics\n",
      "Loading required package: parallel\n",
      "\n",
      "Attaching package: ‘BiocGenerics’\n",
      "\n",
      "The following objects are masked from ‘package:parallel’:\n",
      "\n",
      "    clusterApply, clusterApplyLB, clusterCall, clusterEvalQ,\n",
      "    clusterExport, clusterMap, parApply, parCapply, parLapply,\n",
      "    parLapplyLB, parRapply, parSapply, parSapplyLB\n",
      "\n",
      "The following objects are masked from ‘package:dplyr’:\n",
      "\n",
      "    combine, intersect, setdiff, union\n",
      "\n",
      "The following objects are masked from ‘package:stats’:\n",
      "\n",
      "    IQR, mad, sd, var, xtabs\n",
      "\n",
      "The following objects are masked from ‘package:base’:\n",
      "\n",
      "    anyDuplicated, append, as.data.frame, basename, cbind, colnames,\n",
      "    dirname, do.call, duplicated, eval, evalq, Filter, Find, get, grep,\n",
      "    grepl, intersect, is.unsorted, lapply, Map, mapply, match, mget,\n",
      "    order, paste, pmax, pmax.int, pmin, pmin.int, Position, rank,\n",
      "    rbind, Reduce, rownames, sapply, setdiff, sort, table, tapply,\n",
      "    union, unique, unsplit, which, which.max, which.min\n",
      "\n",
      "\n",
      "Attaching package: ‘S4Vectors’\n",
      "\n",
      "The following objects are masked from ‘package:dplyr’:\n",
      "\n",
      "    first, rename\n",
      "\n",
      "The following object is masked from ‘package:tidyr’:\n",
      "\n",
      "    expand\n",
      "\n",
      "The following object is masked from ‘package:base’:\n",
      "\n",
      "    expand.grid\n",
      "\n",
      "Loading required package: IRanges\n",
      "\n",
      "Attaching package: ‘IRanges’\n",
      "\n",
      "The following objects are masked from ‘package:dplyr’:\n",
      "\n",
      "    collapse, desc, slice\n",
      "\n",
      "The following object is masked from ‘package:purrr’:\n",
      "\n",
      "    reduce\n",
      "\n",
      "Loading required package: GenomicRanges\n",
      "Loading required package: GenomeInfoDb\n",
      "Loading required package: SummarizedExperiment\n",
      "Loading required package: Biobase\n",
      "Welcome to Bioconductor\n",
      "\n",
      "    Vignettes contain introductory material; view with\n",
      "    'browseVignettes()'. To cite Bioconductor, see\n",
      "    'citation(\"Biobase\")', and for packages 'citation(\"pkgname\")'.\n",
      "\n",
      "Loading required package: DelayedArray\n",
      "Loading required package: matrixStats\n",
      "\n",
      "Attaching package: ‘matrixStats’\n",
      "\n",
      "The following objects are masked from ‘package:Biobase’:\n",
      "\n",
      "    anyMissing, rowMedians\n",
      "\n",
      "The following object is masked from ‘package:dplyr’:\n",
      "\n",
      "    count\n",
      "\n",
      "Loading required package: BiocParallel\n",
      "\n",
      "Attaching package: ‘DelayedArray’\n",
      "\n",
      "The following objects are masked from ‘package:matrixStats’:\n",
      "\n",
      "    colMaxs, colMins, colRanges, rowMaxs, rowMins, rowRanges\n",
      "\n",
      "The following object is masked from ‘package:purrr’:\n",
      "\n",
      "    simplify\n",
      "\n",
      "The following objects are masked from ‘package:base’:\n",
      "\n",
      "    aperm, apply, rowsum\n",
      "\n",
      "\n",
      "---------------------\n",
      "Welcome to dendextend version 1.12.0\n",
      "Type citation('dendextend') for how to cite the package.\n",
      "\n",
      "Type browseVignettes(package = 'dendextend') for the package vignette.\n",
      "The github page is: https://github.com/talgalili/dendextend/\n",
      "\n",
      "Suggestions and bug-reports can be submitted at: https://github.com/talgalili/dendextend/issues\n",
      "Or contact: <tal.galili@gmail.com>\n",
      "\n",
      "\tTo suppress this message use:  suppressPackageStartupMessages(library(dendextend))\n",
      "---------------------\n",
      "\n",
      "\n",
      "Attaching package: ‘dendextend’\n",
      "\n",
      "The following object is masked from ‘package:stats’:\n",
      "\n",
      "    cutree\n",
      "\n"
     ]
    }
   ],
   "source": [
    "library(tidyverse)\n",
    "library(DESeq2)\n",
    "library(dendextend)\n",
    "library(RColorBrewer)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "'/home/jovyan/work/scratch/analysis_output/img/pilotdds2019.RData'"
      ],
      "text/latex": [
       "'/home/jovyan/work/scratch/analysis\\_output/img/pilotdds2019.RData'"
      ],
      "text/markdown": [
       "'/home/jovyan/work/scratch/analysis_output/img/pilotdds2019.RData'"
      ],
      "text/plain": [
       "[1] \"/home/jovyan/work/scratch/analysis_output/img/pilotdds2019.RData\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<strong>/home/jovyan/work/scratch/analysis_output/img/pilotdds2019.RData:</strong> '6632de5c8a2eed06d8c40c958e6f5d03'"
      ],
      "text/latex": [
       "\\textbf{/home/jovyan/work/scratch/analysis\\textbackslash{}\\_output/img/pilotdds2019.RData:} '6632de5c8a2eed06d8c40c958e6f5d03'"
      ],
      "text/markdown": [
       "**/home/jovyan/work/scratch/analysis_output/img/pilotdds2019.RData:** '6632de5c8a2eed06d8c40c958e6f5d03'"
      ],
      "text/plain": [
       "/home/jovyan/work/scratch/analysis_output/img/pilotdds2019.RData \n",
       "                              \"6632de5c8a2eed06d8c40c958e6f5d03\" "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "'dds2019'"
      ],
      "text/latex": [
       "'dds2019'"
      ],
      "text/markdown": [
       "'dds2019'"
      ],
      "text/plain": [
       "[1] \"dds2019\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "curdir <- \"/home/jovyan/work/scratch/analysis_output\"\n",
    "imgdir <- file.path(curdir, \"img\")\n",
    "\n",
    "imgfile <- file.path(imgdir, \"pilotdds2019.RData\")\n",
    "\n",
    "imgfile\n",
    "\n",
    "attach(imgfile)\n",
    "\n",
    "tools::md5sum(imgfile)\n",
    "\n",
    "### List the objects that have been attached\n",
    "ls(2)\n",
    "\n",
    "ddsadd <- dds2019\n",
    "\n",
    "detach(pos = 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "gene-wise dispersion estimates\n",
      "mean-dispersion relationship\n",
      "final dispersion estimates\n",
      "using pre-existing size factors\n",
      "estimating dispersions\n",
      "found already estimated dispersions, replacing these\n",
      "gene-wise dispersion estimates\n",
      "mean-dispersion relationship\n",
      "final dispersion estimates\n",
      "fitting model and testing\n"
     ]
    }
   ],
   "source": [
    "\n",
    "### Estimate Size Factors\n",
    "ddsadd <- estimateSizeFactors(ddsadd)\n",
    "### Estimate Dispersion parameters (for each gene)\n",
    "ddsadd <- estimateDispersions(ddsadd)\n",
    "### Fit NB MLE model\n",
    "ddsadd <- DESeq(ddsadd)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Dot Plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "### Merge gene expression with meta data\n",
    "myDEplotData <- function(mydds, geneid, mergelab) {\n",
    "    counts(mydds, normalize = TRUE) %>%\n",
    "        as_tibble(rownames=\"gene\") %>%\n",
    "        filter(gene == geneid) %>%\n",
    "        gather(Label, geneexp, -gene) %>%\n",
    "        select(-gene) -> genedat\n",
    "\n",
    "    colData(mydds) %>%\n",
    "        as.data.frame %>%\n",
    "        as_tibble %>%\n",
    "        full_join(genedat, by = mergelab) -> genedat\n",
    "    \n",
    "    return(genedat)\n",
    "}\n",
    "\n",
    "### Plot using a single factor\n",
    "myDEplot0 <- function(mydds, geneid, grpvar, mergelab) {\n",
    "    mydat <- myDEplotData(mydds, geneid, mergelab)\n",
    "    ggplot(mydat, aes_string(x=grpvar, y = \"geneexp\", col = grpvar))+ geom_point()\n",
    "}\n",
    "\n",
    "\n",
    "### Allow for coloring with respect to another factor\n",
    "myDEplot <- function(mydds, geneid, grpvar, colvar, mergelab) {\n",
    "    mydat <- myDEplotData(mydds, geneid, mergelab)\n",
    "    ggplot(mydat, aes_string(x=grpvar, y = \"geneexp\", col = colvar))+ geom_point()\n",
    "}\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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\nAABAiP8BFaScnyVhGSkAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### Stratify by condition color by genotype\n",
    "myDEplot(ddsadd, \"CNAG_00003\", \"condition\", \"genotype\", \"Label\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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\nAAAgCYodAACAJCh2AAAAkvgntb3N6aSSnU0AAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### Stratify by genotype color by conditon\n",
    "myDEplot(ddsadd, \"CNAG_00003\", \"genotype\", \"condition\", \"Label\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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\nAAAAJPE/GX3IEuYd2vQAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### Stratify by genotype\n",
    "myDEplot0(ddsadd, \"CNAG_00003\", \"genotype\", \"Label\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Volcano plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "“Removed 348 rows containing missing values (geom_point).”"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAMAAADKOT/pAAADAFBMVEUAAAABAQECAgIDAwME\nBAQFBQUGBgYHBwcICAgJCQkKCgoLCwsMDAwNDQ0ODg4PDw8QEBARERESEhITExMUFBQVFRUW\nFhYXFxcYGBgZGRkaGhobGxscHBwdHR0eHh4fHx8gICAhISEiIiIjIyMkJCQlJSUmJiYnJyco\nKCgpKSkqKiorKyssLCwtLS0uLi4vLy8wMDAxMTEyMjIzMzM0NDQ1NTU2NjY3Nzc4ODg5OTk6\nOjo7Ozs8PDw9PT0+Pj4/Pz9AQEBBQUFCQkJDQ0NERERFRUVGRkZHR0dISEhJSUlKSkpLS0tM\nTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1e\nXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29w\ncHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGC\ngoKDg4OEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OU\nlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWm\npqanp6eoqKipqamqqqqrq6usrKytra2urq6vr6+wsLCxsbGysrKzs7O0tLS1tbW2tra3t7e4\nuLi5ubm6urq7u7u8vLy9vb2+vr6/v7/AwMDBwcHCwsLDw8PExMTFxcXGxsbHx8fIyMjJycnK\nysrLy8vMzMzNzc3Ozs7Pz8/Q0NDR0dHS0tLT09PU1NTV1dXW1tbX19fY2NjZ2dna2trb29vc\n3Nzd3d3e3t7f39/g4ODh4eHi4uLj4+Pk5OTl5eXm5ubn5+fo6Ojp6enq6urr6+vs7Ozt7e3u\n7u7v7+/w8PDx8fHy8vLz8/P09PT19fX29vb39/f4+Pj5+fn6+vr7+/v8/Pz9/f3+/v7////i\nsF19AAAACXBIWXMAABJ0AAASdAHeZh94AAAgAElEQVR4nOydB3wUxfv/NwRCKKGE3puIofcm\nIKD0LiBNQKQjIEW6Ih1UehARpKsgIFV6D00IhF5CCQmk3a1/f9+vfm0U7787M3u3c7dldm8v\nuSTP5/XS3Z2dfWZD5p3dnXnmeTgHCATyWlxq3wAIlB4EIIFAFghAAoEsEIAEAlkgAAkEskAA\nEghkgQAkEMgCAUggkAXyDqTfflXSn7+TnUkcUukkxWom9M/L/7PKlLuee3f5Ofyjcl/jw+TS\n+HDir7/+5+VfdfBBYbzppHT9t+T6HpxTX/0aU9p11PzXXx9x5vSGYH8X2d/F9uP8+fK/Jv4R\nviONHP71173yG3hfXumZ7FdYF5/v/etNrftfc1ba+xFfxpfFh2PldlvhsjY699gYV+tm6Af7\n7S+VE/+xCKT/8Er68zeyswLfdJhiLTP6x/GLZbbc9NK7y5/kwD/rUXIchg/Def5Xx9+t8UFF\nvBmqdP15fC5opqv/HObtJV1HPXneXkKru6mru2D/ema0m/k624/zp+P/TPwjXCA/xH2ev5VZ\ndgMfyyu9kP0K2+Dz4/jk/Br3fyIuG94JvEquq4aPF8ntvovL3tO5x8642khDP9h//lI58WvK\ngJRcH930XkM3rSX/BYlfhH7Ud6XDfeiwXhIC6SKirMy5vOKmaLTi9UPRBbMSa0jdp7dQ+IOz\nM4XeEA634u7ERA8S6oB5r4n2P0IFExh/GnMg8cNQIzPF3cloF+FU4Ym8jhykiznF86VjeH6t\n66Zzkm1usu3P81/gvfHSdQeDxMNaiXK7t/KJZQXv6txiFDJb4qGhnyu1QeJjRpcNbbrf0D1r\nyo9B4tfXzhM2y/WrPdA0tMwooYeIIPFn2xUo0fc2f6lToWI9VZ4JyQsq5a6xys4/HFY6tEpY\nnrCZyNSuhtmCsubLV7hLJKq0q1HoK+OPtcufO3fuBtsPNsuZNWu2wIA8TcuENp1SM3fFd0sG\nCH0kICCw9Je7GoUEB5efFtmzeKFOl9CltqVVc1ddZmP8YUyClPxZZfRDCLKHV8tddcnJ1vlL\nvn+PqiMHSfqHEbS1ft4KU8eEBGRtfn9+pew5sofNufl+yVx5QsLmiP8Q35QODCy6yHX3h5qF\nlh7hBsOVXsWKdovSvcefOxQq3uuGsZ8r1UGyWv4MkppEkHyk3//wlWWTILHohc9+hY7nvrIM\nILELQJILQKIEILELQJILQKIEILELQJILQKIEILELQJILQKIEILELQJILQKIEILELQJILQKIE\nILELQJILQKIEILELQJILQKIEILELQJILQKIEILELQJILQKIEILELQJILQKIEILELQJILQKIE\nILELQJILQKIEILELQJILQKLkPUjJc3v1+Vyo/ceSHj2W/uXaAkjMApBoZUiQXg6b9fTRh584\nHAvHxsWPW+baAkjMApBoZUiQbNN4h+NMx39+63jD4bjZ+X/SFkBiF4BEK0OChHS20/PLHZ85\nHM86XpG2ABK7ACRaGRWkf2NHrXQc6i3u9j4sbYX/JfwoKO53JT37S7HYAr1w/M9Xpv/1leE/\nHM99Zfrvf3xl+ZnjD1+ZfumzX6Hjha8s//lM5YTz3UwXpP926PD5P459/cX9fvukrfC/E7UE\nXdR/noFA6VcvnXt6IP0bf23yRy/wk6jXEWnrgCcSs+CJRCuDPpEE/doh8krHfxyOvzpck7bS\nKfhG0hd8I9HKkN9IVwb/JYJ0+Y/OAjuRXf6UtgASuwAkWhkSpN/eXRAXN+/d/zlWjHoc88Eq\nh3MLIDELQKKVIUFyPJres+fHjxyOv8N79Fj5j2sLIDELQKKVMUHSEYCkLwCJFoAEIJkSgETL\nCdK9vedYQ5GzCUBiFoBEKS2DlDgwkOMqn7LSMoDELACJUloGaQxnIr2KtgAkZgFIlNIwSAkk\nd9hCCy0DSMxKxyDZI7ZcNGo6DYN0jWQRG22hZQCJWekXpKh6Qq96655+RbnSMEhPgzBI8y20\nDCAxK92ClFQTdau3jJlOwyDx76EfON8dCy0DSMxKtyDtJm865wyZTssgPWkr/LjFdltpGUBi\nVroFieR/57YZMp2WQeL5iFU7nmjWNCpNkO4OKFvi7UiTlgEkdqUuSDsJSGcNmU7bIFkuLZAe\nl0GJ0vVzNSsKQGJX6oKUWBVx1NSYaQCJkhZI4/Efqo7mLANI7ErlUbtLNYRfc+PbxkwDSJS0\nQGqGQSpqzjKAxK7UnkeyHdtw2qhpTZCStsxZ+9ioRUnpDqSWGKTS5iwDSOxKbZDMSAukaxWF\nflNon0nL6Q6kzzBIg8xZBpDYld5Aeh11nEImfdnSHUg29G5XweQjGkBiVzoD6TIZBvzanOV0\nBxJvC+/aYXa8ScsAErvSGUiHCUhzzVlOfyB5JQCJXekMpOhADNIP5iwDSJQAJHalM5D4IYij\neknmLANIlAAkdqU3kBKGZ+G49rdMWgaQKAFI7EpvIPF8/JlHpi0DSJQAJHalP5C8EYBECUBi\nF4Aklw9BihnarNv3hq5Y37/XokSGegASswAkSmogJX9Rp0Rzr5b6+A6kY9nFQZAx7BfYO4oX\nVI7TrwkgMQtAoqQGUn/sSh5p3rLvQArDw/JHmS8IxxcM0a8JIDELQKKkAtIRMhkbzN5b3eUz\nkG6Se5vGfEU7fEFJ/ZoAErMyGEj23Qs3a73SqIA0l3RWLsxsw74D6Sq5tcnMVzTHFxTUrwkg\nMStjgXS3jtCBivykXkEFpAUSSNxdky37DiRbcXxnu5ivGIcvaKlfE0BiVsYCCa+hKfRAtcLv\nf5xc8JnnKqbzTpBMx+jx3TfSD+jGurNf8KikeEH28/o1ASRmZSiQbhEaVqjW+H2YeH6YR/k0\ncuWrbuXRzE8oHw5/n2tVqs58I55LN3oUytOCZdEjgMSsDAXSSYLDdNUaq3CFrzxO/FhaLA86\nQBXufo3jyjGGKYIJWUoAErv8D6QHmTEnG1RrNMYVmniesS16I6zbGXKQcDlB+P85NIETfIKp\nbQCJEoDELv8DiThwV0lQrVARg1RJ08rj9zJzWQbG8t1x5TZMTQNIlAAkdvkhSAmDhGdSU41Q\nbJ0wG501rXQmX/fVceVXmJoGkCgBSOzyQ5B4PuaYZoCusyg3SrDmh3gE+dI6RwJS1WVqGECi\nBCCxyy9B0tHvu8twXLntrgLb0tpFG9MeoesJSBvJyMQiJssAEiUAiV1pEqQ/+Bs35QUjECtL\n5EVSeP6f8CdXXzuTZQCJEoDErjQKEqWzmJnssbKyhLKorHwiz5+cO4vV+w5AogQgsSs9gLSc\nPH32ywuPFxNKihvMegwgUQKQ2JUeQFpJQDpClcatnrrGaP4UAIkSgMSu9ADStWDsnac+88Qq\nAIkSgMSu9AASjnAdZCxbmaIAJEoAErvSBUj8wb7NB/1sgWUAiRKAxK70AZJVApAoAUjsApDk\nsgikRIVZKwAJQDKljAvST3WCsre55F4KIAFIppRhQTqBxhCLRLsVA0gAkillWJCa4kmtUW7F\nABKAZEoZFqQCGKRmbsUAEoBkShkWpNIYpA5uxQASgGRKGRak0RikNW7FABKAZEoZFqT4emjd\nhnsxgAQgmVKGBYm3fTPsQ89Q/gASgGRKGRckZWmCZD+wco/JbJ0AkgEBSJTSE0jR4dM3J98Q\ngzSHnTNpGUBiFoBEKR2BtCWPgFDFOmh44jWTy0AAJGYBSJTSD0i383IymVwHAiAxC0CilH5A\nWizniFtuzjKAxCwAiVL6AeljCqQ95iwDSMwCkCilH5A2YIIy4RiWyeYsA0jMApAopR+QEmsh\nhEaLiZebXjdpGUBiFoBEKf2AxN9sn4nLPjGZv7HnimnLABKzACRK6Qgkno+7bHomlghAYhaA\nRCldgeS9ACRmAUiUACRKABKzACRKABIlAIlZABIlAIkSgMQsAIkSgEQJQGIWgEQJQKIEIDEL\nQKIEIFECkJgFIFECkCgBSMwCkCgBSJQAJGYBSJQAJEoAErMAJEoAEiUAiVkAEiUAiRKAxCwA\niRKARAlAYhaARAlAogQgMQtAogQgUQKQmAUgUQKQKAFIzMrwICVsW7rL5jwCkCgBSMzK6CBF\nlOM4rmqUdAggUQKQmJXBQUooj0KE1JFSHPs5SPZVPTvNfupeCiABSKZkIUjbSNy3U+TYv0Gy\ntxXv9ZVHbsUAEoBkShaCtMItpK9RkJ5ObVhj8G2WmlaAtBzfbH+3YgAJQDIlC0H6iYB0iRwb\nBAkHj8t3k6GqFSB1wDdbxK0YQAKQTMlCkGyvo67ZSTo2CNIc3LM7M1S1AqRWuLlQt2IACUAy\nJStH7W4JnTOgm/OrwyBIbXHPLsBQ1QqQpuDmWroVA0gAkilZOyF788A914E5kAoyVLUCpDg0\nxpjjZ7diF0g3P2z57o9eN+MSgMQsAImSQZDmYZC6MlS1ZPj73vuli7T3SL/nBOlUTvFuJnrf\njiQAiVkAEiWDICXVRQ8klmG7lJiQrYS5PmGZZQCJWQCSTNe+/cmmX0uuhBlv1B0RzVIzBUC6\nRYYgP7bMMoDELADJKfuwLByXf70vTPMpAlIUAWmSZZYBJGYBSE7NRb0w21lf2E4RkGxFMEjb\nLbMMIDELQHKqFO6GQ3xhO2W+kb6lJ8W8F4DELADJqSAMUntf2E4h7+/dzQpV/TTBOssAErMA\nJKfKYpBG+MI2LKNwE4DErrQG0kLEUY6LvrDtFUj3+hXIWkdjnhVAApBMyVfD3+OEl7tiK5bO\n2ecL4+ZBSqiCCN+pWgFAApBMyWfzSNE7Ti0KFvrsm/HW2zYP0hf4lfM11QoAEoBkSj70bDgT\njDrtcOstmwepHwYpQHUQAUACkExJF6RE0wNXo3CnzSsvO9ypSssNZg06ZR6kofieglSdLgAk\nAMmUdECKaJIlsMZec6Z7k7/+Sa6iDajkI3P2XDIP0h5OZ3oIQAKQTEkbpJuhYrcLPmnK9HTc\nacu6ShJCcdF5U/Zc8mLU7kOx/TL3VM8DSACSKWmDNAh3/DdNmY4tii5e7So5RhzYFpmy55I3\n80j7Rvb5XGP8A0ACkExJG6RGuOMXNWX694t1OC50oazkOAFpsSl7LsGELCUAiV2pBFIbvdFi\nLf3+Bx8dSX3VJ+TD9tyXpRoVgEQJQGJXKoH0Ne74U1gsJXxcq3wXubu3wsK+TdYsTQCQKAFI\n7EqtUbv+YsdvnshgyN5MrJr1uKtEaYXssa7V2242eIueApAoAUjsSrV5pH0TPvyeydBq/PCq\n4SrRWWp+b8XMLQbX0EoCkCgBSOzyf8+GgWTWyDUipg3SptxC7epMK8s9BCBRApDY5f8gDcEg\nZXI5QmiCdD0Xqt7IVFsAEiUAiV3+D9L3GKQmrhJNkOaTkfAtZtoCkCgBSOzyf5D4HiIXeS65\nCjRBmkBAKm2mKQCJks9BevZCSf++VCy2QP86fGX5hQ8t/2uRoeebuzX/KEFW8FLrH3ozAYmz\nmWjqX4fPfodp4B/aQy/VLD+3CCR4IukrtQJEJhQgIMWYsAxPJErwaseudAeSNFxex4xlAIkS\ngMSu9AcSHi/P5RF8m0UAEiUAiV3pECR+Q9dmo5gS9HkIQKIEILErPYJkXgASJQCJXQCSXNaC\n9GBwqdBmR8gBgAQgmRKAlFANedsexkcAEoBkSgDSAjx8WBMfAUgAkikBSD0xSIHYEx1AApBM\nCUB6D4OUzY6OACQAyZQApO+pCF0AEoBkSgASjr5a4i4+AJAAJFMCkIRnUv8us+LIPoAEIJkS\ngETLW5AiRnQac1XxDIDELACJUkYE6SsxVWG2XUqnACRmAUiUMiBId3KggYsiSokHACRmAUiU\n0hFIdsZwR9+QRVYHFc4BSMwCkCilG5AimmfL1vQUy9UrCEi7Fc4BSMwCkCilF5Cu5UUrpy4z\nXH0GcxT0QOEcgMQsAImSn4N0cMZchacMAmnPwC7TXCz0wXR0YzGK03fMUjoFIDELQKLk1yDZ\nUdCjER7lIkgowlH+SKmouoFMAknzwkKqr7IrnQKQmAUgUfJrkEhcvW/cywWQjuBTDaSi1/Fx\nLS9bBJCYBSBR8muQamA6WriXCyBNJMGXH5EiwtynXrYIIDELQOKT5jaq2IOkP/JrkEpjOmq7\nlwsgfUiG3u6QIhvKEvVWspctAkjMApDsbcU+F3wCHfg1SG9hWHq5lwsgrcenSri+dDYPH7pR\n8bvHiAAkZgFIG3AfrI4O/BqkI1nFG8150b1cAMmGMj2Zi0quIQCJWQDSUPJWhHypVUGKWLnl\nkcopNlkx/L21HMdV/smjWBy1ixtbNnfDH71uwU0AErMApOHkO/2peKACUkJnoUY+r9L2WTMh\ne/e+QiEsowCQTMlakMhq07roQAWkkahKThZHATX5rdOqlgAkZgFIfDcRkhw4JbMySLacGLaJ\nXrQCIFECkNiVVkCyLW9dd9A1vK8M0mPyGdXPi1YAJEoAErvSCkhyKYNkz4dBmu6FZQCJEoDE\nrvQDEj8TcVTwrheWASRKABK70hFI9jFBHBd22BvLABIlAIld6Qgknn944IJ3/jYAEiUAiV3p\nCiSiW6sXHTdnGUCiBCCxKx2CtDy78KnUJdGMZQCJEoDErvQD0tN5PQZsFbYnkbMbN96MZQCJ\nEoDErtQA6ds+7SYpBR9glSJI0WVEfPo73fIKmrEMIFECkNiVCiChZMkFosybVgSpO+ZnM98V\n72QyszzBOpAeukdFBZAAJFNSBWkH7ujNzZtWBCkXNtuHH493ypmxbBVIEXU5Lv8yqghAApBM\nSRUk4sgdqBQ0lE2KIAVhs135W9jDYaUZyxaBFF0E3cI6eRmABCCZkipIA4lP3BPTphVBqoOt\nzuH5Q2EcFzLXlGWLQJqC7+UVeRmABCCZkipIX+JeVsm8aUWQ8MrUivHiflSEycedRSCR77VM\n8njEABKAZEqqICU3RL1sv3nTysPfh97IVXxAtKzAdmHPHaWKGrIIpCEYpFB5GYAEIJmS+qhd\n7JgKhd7yxiWOLWbDWTH+Yl9jjyaLQCIB7IbLywAkAMmUUjuuXWxZ1JmHGLJs1ajdfPE9s1m8\nvAhAApBMKbVBIp9iWR4bsWzZPNKVRZ+6Ekec+2ZHHIAEIJlTaoM0mQwOnjdi2ReeDQldhLso\nsh1AApBMKbVBWkqmqx4asewLkPC8WZ5YAAlAMqPUBul+YdSBexiy7AOQkrJjoucBSACSGaU2\nSPyBEkL3bRFjyLIPQIomr5gjASQAyYxSHSQ+fudXTGklZfIBSMnECXAhgAQgmVHqg2RCvvhG\nwqMeuU8BSACSGQFIRMlDMyOUOjy13DQWgMQsAIlS2gKJ58/ht7v3fWBaFIDELACJUloDaS7+\nSgry0SMJQGIWgEQprYE0mgzcXfeBbR5AMiAAiVJaA+lzzFF280sZNQUgMQtAopTWQHpYDIE0\n1gemRQFIzAKQKKU1kPgTFTku86AkX5jmASQDApAopTmQ+OSze5JgHglAMiMAiRZ4fwNIpgQg\n0QKQACRTApBo6YP05NhZUwHLASRmAUiU0idI80M4ruR2E5YBJGYBSJQISLu7v97vjLWWUxGk\n9WiIPMfPxi0DSMwCkChhkOYgt5stllr2BUiP92wXg4TpgVQNz9oONN4AgMQsAIkSAikKxygu\nYKm7gA9AWpWX44I/0QcpLwbJREh0AIlZABIlBNIK4sDmVc5Yd1kPEg4Ay63RBakC/nF6u5df\n/nzaVu3EGgASswAkSgikZQSkA1Zath6knvgua+qCNF/5x1koglgvVutKAIlZABIlBNJ53PFC\n1GLxm3LIsR6kxvg2C+qCZBeTC2Rf7FZ6Cj/Q+mldCSAxC0CihAcb8OKELxVrRPcNzVxpo3HL\n1oPUg/WJxPM/f7XeI1b5h/jybDalC4gAJGYBSJQwSPaVjcq89aNihcSaqPsZJ8l6kA7jR8rX\nJj0b+pEX2DiNOgASswAkSroTsuG495UwnP3SB6N2K/NyXNZpZl2EZpOfRKsOgMQsAImSLkjD\nyN/x+0Yt+2IeKWbntru8WZBiSqEfZJVWHQCJWQASJV2QxmGOAg0HSfA/p9WLzQK4Aks0qwBI\nzAKQKOmCdAyD1NqwZf8Diedjb+hUAJCYBSBR0nda/UTkqNQtw5b9ESRdAUjMApAoMXh/Hx83\nYBHO8/XAyNIEAIkSgMSudAqSpJUluCxtopirA0iUACR2pW+Q1qFvpVe0ZmEoAUiUACR2pW2Q\n9CaKSuJRh3mslgEkSgASu9IwSPZl5QOLjlXztRP1lMwn9WW1DCBRApDYlYZBQiv7uI4aFW3B\nGKRRrJYBJEoAErvSLkixhJK9GjXJIoZjrJZ9ApL9y1oFan35HEACkMzI5yAdJ+9tczVqPqou\nVAjSqkHLJyBNQbc5A0ACkMzI5yBdICAt1apqWz9u5gVx5+H+EwyL0n0B0k2cZyyz3EEhsnu5\nKmMeW9QAgMQsAIkSWUbxGuqgOZiSpUwV3gNLbNOt5guQviXAb3IVXcopFuRfZ00DABKzACRK\nZLDhVKj43raS5YrlqCvnvKRXzxcgbSMgbXUVtSRFHQ2v81ASgMQsAImSNI90f0afCWxx4F7F\nHXe4Xj2LQbrXL39Q7U15UNt5YlzlJGIQx2m7dTMKQGIWgETJeKRVMsDXTq+etSAlVEWtjhcD\nhwX9IPsV5pdAamH7/tPlHuvLDQpAYhaARMk4SKVxvx2kV89akBbhVl89O7jV4LPyeaTuEkh1\nawj/C1nvXTMAErMAJErGQcIrtoNP69WzFqT3CC5ofaEcpLtFyZly+NuN3atWSQASswAkSsZB\nsg8Sv1K+1q1nLUgjMC1ByeIB5dnwaHCgeKZwIK4xy6tmACRmAUiUzGSjuPzN1gf6tawFaR/G\npAM6cHMROtksZ95O+8mDaYxXzQBIzAKQKKWZtC5jRUpK30X7Sr52ibkwSCu8agVAYlb6BckW\nseOaYdNpBiR+/6h3P8cLdZWdVmchjsLivWoEQGJWugXprJjMpLvWSggl+RtICZvnfavrfySA\nFLNt9Tm60P5JCBfQ0ruxBgCJXekVpCevoL/IzMuFiPwMpIgy4vjbOZ1aL375roD4V8MthETy\nZa9d7gAkZqVXkNbgT4RAg4EcZSA9MBy6TlNmQErECVnCdKL2v7iCHOy4D03emroAJGalV5Cm\nk1GrU8ZMO0HaXI4LfD2CHMSOq1NtkJdeAmZA2kt+iP3a1V5MwtVCLPGvkwtAYlZ6Bekr3Lcy\n3TNmWgJpD7q6IB4Vi6+IDrwjyQxI6wlIG7SrvZCmZ61aPeEUgMSs9ApSTAnUtboaNC2BVAf3\nzNHoYCo+6GHQFi0zIJ0igOjkhX5BHr/54IkEIBkR06jdMXG0oeUjg6YlkHLjrtkSHTTDB5p5\nG3RlarChrWzaVV0v7mJX1RmmbkxLABKz0i1IfMJPayP0a7lJAgk/z7h30EFzfFDSsDW5TIH0\noEcAl6mX3l+DF78cKM9xQR9qpQwzJwCJWekXJFOSQBqD2fkBHXzKmRpKp2VyQjYmQv/D58Uv\nfFLEPgY3JcMCkJgFIFGSQEpoKqIzjhzUEg+KR1M1D3ap1WG7AcsQjosSgMSutAwSz/8wcfpJ\ntHNgxtyjM5o1GvuQqvg1ekjNZrcMIFECkNiVtkEisnVzjd7JFId9QoPYvfksAOnJ1DcajY/x\nLAeQACRTSkmQcMxVzn2lqTRVqr8OSZL3ID1F01mlPYceACQAyZRSEiQcG4Fr41a8h4CkmYGV\nkvcgTcRNei5qB5AAJFNKSZDIOHg9t+LH2LstUM+f1CXvQWqAb6WCxwmDIBkYJQeQmAUgUfIA\nqZnK0PcKXF6c5MBMPHdKZ7WD9yDVw02+6nHCCEiX2oYENzrKWtufQfr1i9695/EOxx9LevRY\n+pdrCyAxKyVBOpRV7Lwhlz1qzsTduh06+L4Yx4WGa1r2HqSxuMX3PE4YAOleYdFE9rOM1f0Z\npPETHseOm+xwLBwbFz9umWsLIDErRZeaf1+G46oc8Kw5CHfrIPFFKQIHt9uuZdl7kOLKi40U\ni/Y4YQCkEXLXJ335MUj/mfDQ4bjY4a/fOt5wOG52/p+0BZDYlcIxG+4qrmnqi7tkgLiajqR4\naaRl2YLh75gxtWuM8OTICEhN8J0WZazuxyAhXe74x+WOzxyOZx2vSFsAiV1+EfyEhGisKu7X\nJx9MWvX9Y0K2Nb7T8ozV/R2kmdMdh3qLO70PS1vhf4+WC3r4p5Ke/6NYbIFeOP7ylel/fWX4\nL8cLX5n+5xljxSv90bhd8AnxoAvunrW1Lnju+Nvru1ORgX/o1fhOJzFWd7w0dUMM+vu5apvs\nIH3XO8mxr7+412+ftBX+d6KWoIv6GIJSQS/PfXvupevwiBh0m8vW4jw+wt1zbQrf04uH/2f0\nkn/7oHfQv31xO9bI9Y+sB9K/a3sLn0n4SdTriLQV/vfbHUG2/1PS338oFlugZ47/+Mr0S18Z\n/q/jH1+Z/uMv5fLrYiTt6lelQ74IRucSOZ4tju2N1LT8t+M3i+5R0uwQjnvjsrDz0sivcPvI\nQWv/H2tlx3Pjt8Wm39V+hf9lBmlVvyfC/690/Mfh+KvDNWkrnYVvJH2l/DeSDfl/c4WkfGIR\nxLHhc6nC9TVf6mRIsvwb6XN0B2VjDU7IHuvbrL9uoHJJ/vyNdLB3vLj5o7PATmSXP6UtgMSu\nlAfpMAGH64mPT5HDBeyWrQbJlg/fwmfGQFqJxuzXMtb2Y5D+6LPdJugfx4pRj2M+WOVwbgEk\nZqU8SBslkEgI4IRQfGQgRpHVIN0nNzTYEEjROdBFuRV8yJXkxyBd6YB0xfF3eI8eK4XXOmkL\nIDEr5UE66QSpFS7A8X100/TJZDVICUH4hiYbAknKOquf8xbJj0HSE4Ckr5QHyd5MAul1UrK/\nbfkmXxqJ2mP5N1IvdD/ZfjYE0gbyY2xhqw4gMQtAoqQ2IXtXSnI81Kxly0GKEaeBc4gLogyA\ndD0L+imC7rJVB5CYBSBRUp7FxXwAACAASURBVPds2Ia8Vwsy9kBPWe/ZYN8xMxw5nxsZbMAx\n+ljTjwFIzAKQKGm4CB2sH5St5QXTlv3DRYjn1zQs1og5syyAxCwAiZKmr12Sx5I4++r2dQd4\nLrFQklmQGEL5wwpZAMmU/MJpFel95G93jKWqKZDiJ+TnCk5L1KkFIAFIpuQ3IJFMrmEsdU2B\n1A/ZH6ZTC0ACkEzJb0Ai4Ug4ljwVZkA6T+zr5N0DkAAkU/IbkD4iHf02Q10zIK0l9r/TrgYg\nAUim5Dcg7cD9vBxLXXaQbm7dFYv3fiAg7dW+AEACkEzJb0Diu6PZzX0sVZlBGpOF4/KtQ7tx\nhRBHJXQCFAFIAJIppRpI1/pUrDUhTlaQ/EXjCm+zLUpgBQkvYQ/GGWl2hgj7eRRCr1ACkAAk\nU0otkKJQ+rEaOs8HFbGChPMvcwPw0Z1Zg+YohDuhBSABSKaUWiC1w33cQAoKmVhBIk7drAGz\nRAFIAJJx3f/w9WYL/6t0xr5l0gzjOfpoaYJEFiG1M2WZEaRzZHyhn+epR592H6aY3xxAApAM\n615RsZvVV5jsj28sfvhP8c68JkgFcB/vwPMJZ3Xft9zFCNJyAtJXHmeuFBTLlX4+AAlAMqye\nqq9XI/GZnV6Zd4J0f1yzDsvdfOu64RYW2iYGc1xjnRgN7mIE6UsC0mGPM43xCVncbns83gJI\nAJJhFcfdqYXnmcL4TB+vzEsg3UQDz23plXt3UBNNbJ+ghsqvGzFkPfvSPkaQrqLVGlwBjxGN\nxwH455sgFVzvnCOwIpqqBZAAJMMqirvTm55nsuEz7b0yL4HUARtbSZ+9P6ZxywVJiSGcU031\nHEqdYh1smI+mpn7wKL9HWhxJjp+8ig7FNeMEpLiPaoT10vEmMigAiVlpDSTyejXd80x1fGa8\nV+YlkAgr7yjVucHJNJXVMvOE7E+9mgw471lsJ5maviHHJJWgmC0Jg5Qoht7jcrEt6mAUgMSs\ntAbSrfxid1Gay9mOOlYRw6MAlCSQsuNu+rZSnbjMMpCqsFr2emEfjlvSWPpuwyEbuIAECaR5\nuKCVd63QApCYldZA4m8Pqlr30/+ndGZ9GS6wCWvmHxVJIDXFvfIzxUrdZCCVZbXs/QrZbXWy\nlxzpjKM1GLefzS6B1BEX5PayFUoAErPSHEi8xoRsNMNyUm1JIJ1H8d9qK38BPRRz5+FBAa4j\nq2Wrl5qTtVBixEoMEonkH2plIwASs9IVSN7LOfx98Z1y1T6KU6ll3zXn6zMo0mnOi6yWLY/Z\ngBZDVXzISyAtVX4bTTISM8xdABKzACRKTN7f9z9s0vqzpHMtcgS/cYLZstUgRY1v0bDPyiRx\nF4NkQ7H3CtNrow7UD8rR1uCMl0wAErMAJEosIN1Gc0zNbLw92YBli0H6Xsy2mX0H2ifD30lf\ntGky9gFV6zTKyVnY9AAMgMQsAIkSC0hv43eoxcYsWwtSDPb7K/hEPKAmZB+PLJm99lZy8Ca+\n1Q/MNgMgMQtAosQCEkkD0cmYZWtB2koGDZFDlBwk2xuofBM+It4eb5htBkBiFoBEiQWkvLh3\nGnShsBak9QSkb8UDOUjkRFE8xFAOH7Uz2wyAxCwAiRILSCSh8SwjX0hWgxSJ7yHwunggB2kM\nIeym/GiV2WYAJGYBSJRYQLqSCw18B2VtdsaAZZMgXXugXD4cETIG7ctBmkJAanBNPIoXZ7y4\nXmYaRgKQmAUgUWIa/o7qE1YRZXUIvcFu2RRI4QU4ro5iNrOk2WWzvLIAPxTlIJ2QXC7qoHO2\nNUNG7TDeriQAiVkAEiXWKELtcW99j92yGZBW4qE5vQwY1KjdNIkkpthGOgKQmAUgUWIFqSz5\nsy8rerrzGy1HPxMgRRHvWD2Hdno90mwC0pdGm1MQgMSsdATSwUXrvHP95tlBqoo7azNXyV5x\nyWH7J6pXmACpKUFCz5+PBknKuL7LaHMKApCYlW5AetpC6Dx5mDP/qMgDpNhPu/Tf6lmPvEAt\ndRbcza/zrmccpIRMBIkBOhVpkOyN0EVVmJccaghAYla6AWkQ6j45Ir0z7Q7SrWKi1YEe9ZKa\ni+XdXA6hC3CfD1J9JBkHKU762tEMEBm7c9Mj+ld4Qxyqq2bewU4mAIlZ6QWkZLLSfLJ3pt1B\nIoMKniu/7ZtGjt4uO5bmb1SXept4tXsNm+yuVWee6E03gJ7Ssh9fc8gjJ5opAUjMSi8gPSQd\n+X3vTLuBZCfhGj0fSe7CkYa54Hi1CiZA2otM1tZiYgludppR04wCkJiVXkCyEw+4Od6ZdgMp\niXym6IcmeojDG41WrWBm+PtA84IVxqotihKVSJbEM63mS/hpI/PqKSIAiVnpBSR+LupRxVUc\nAVjl/mpXDXfURfpXnqgojjWof+H7JBnzKekzSjMe+eGF39wVqCwl1OtibA0xgMSstABS/Mkz\nVAdVBMk+WfhKqmF1yOIDqJvWZBkBS47YpZW5zycgnSQc5dKok9BGqBDydTQK1MoNMmQfQGJW\nGgApPJTjim6WFajMIz09dc3rtjyGvw82Cy09/KHXdn0EUgLxRB8l7J5/pFxnBKqRbbzesKKS\nACRm+T9IOMxW8ElXSWp7NkSbCYPgE5D4jXg8wp40NojjWsn/kESPaNBslvjGlwsTVEdvWFFJ\nABKz/B+kJh6DwL4H6fo7xQp2+FmxRsKE3FyOYbGGLfsGJP5Q+zI1vv6Fx8+baq5PpVvoTa5+\nEh9PAKqLN1lVhxWV9PLgnG+8/OpUEYDELotAKkn+orpKCEhPz1jxyoWUJO1gkO6jadjcin+8\nh6G76Wy4CR+BJOrFL3FkmH6ds4ysh5/vDPL8Ed6OMGL4nvgYy7fN8hvmASQjsggk8k4iW5CK\nQIofklkoZMknrqO4MUWzZKpEEodjkPBnBddFofZNMiB+zGgzPgVJyqrkCqCMhxbEtbF4hqtw\n9FExF2AfQ+kG8RLGUK0xFLMCkNhlEUgrcJeQ/V1EIA1EpfWNLVNVUAxx5N6CjjBIDXBRaYXq\nP5IuG260HZ+CdJfclSsgC8nl1FbYnZ5DeOk7ITx2T2wzsH5K0D2SAINh8N+wACR2WTVqN0p4\nbwmeJSsQQbqbyYMvcxpE+iCOPYxBaoaLXkNFCT8s3OF89eOPkuqbFUxpyqcg8S3dnx2d8G3O\nFfcTIq6asis957xM3qYoAIldls0jXf76G+pPqQjSQc75EeCdXiGGOORBgEEi8eg/FPfPiAFE\nwpwuoMnl0alCj422YxSkxEMbLzBWFUC6I84ch8r+qlxH8bpqeeUCLn15rfXGiIoAJHb51LOB\nRP/w/pdcmhgKQk8dDFIyeiRVE70AEnCW8WpOh7eTYnjIPMYX+xgE6YSY/qgdG67iMgrbD7O+\npsbXbg2qVn+ql7HQx6KfvYq5NO7aApDY5VsXoYbol1w0Rr+6tnoQkFpu2R3rHP62fdmr20L0\n13wnOX3EecHjJaM+N7GA0BhIMXissidTZZ9l7EuanJXjmuPBy9Ot8pXoZ92wA4DELt+CdFX0\nbSusmOXbkG5hb9c8mTku33rPCdnVBKRvyXFylJYTqYaMgYSjNXCZmIj1YerL/0Xcx3tn0TKV\nV4zPn6kIQGKXj51Wk7fOWWfF7/VG35IFKuNv8+AID5AOE5DOoaPk4QJvpdgj58tkDKSPSbOq\nvoM35o5aKiGdEjlkm+P78XK5l0sAErvSUvATPITADfQAyY5H8MgsFs6cHnTPRAvGQFqF7ydQ\nza1gs5i/qRgZjUgJkHCscevyAQJI7EpLIOXA/aS1p6/dvQ4cF9D9IX+nb8kibQJxtXrjh65M\nUjKjIWMgxZZBDb174fNPFcJqXVmC77cqdvpLCZCK4J+cOa+angAkdqUlkHCKcG6QktNq9BHh\nO+FxGY5WZRVnazUZHLWLqCS08fYkcQC6rfsY9pgg6SbwI0kE6cqKJV5m/VSSC6T+uEErYnwh\nAUjsSksg4SXb2c6qen9/xLlLf9UsJaPzSMkntkTtxi19RJ9Z4bqHQ6hAAOkTka2B3iTnU5QL\npEfoT00ny1oAkNjllyDZL+xUXLU0XuiJBTepL6No7gFSiGRx06ixu/UbNuPZ0Bu3VIIureO8\nhSDstfvil234+AvDLehItowifn7Xd9dbRyqAxC5/BClSXE3QRWny6e62/XEa65Ha4K4a4AIp\nEM/RJqLRiN66LZsBiTSagy4t4byFSbjgxS8ko3lVwy3oCNYjMStjgZRQGXW4bqoVVEFajLtq\nnXxZcpEnQmV8YjLjx4MZkEZj2zXo0kYEo/wziMfui1/w7DRX1HALOgKQmJWxQPqOPFdUvaDP\nbD6s7E9uayVeiFeb4hGsnfhEGDbZUq9pVpAiPhmzTvJHIpPFbo65P6DC4D3Oghe/9ME30Yip\nBQMCkJiVsUAi8VDVYpfeEv+yV/mZ52M/bt9zDf1BYF/Vs/MQ8ijolDOwshQzkrxoNdBrmhEk\nNGpQQ3r3PF5LeMysdq+zJA/HFd7oOn7xyzkclutHlhaMCEBiVsYCaSMBSSVwAc6/WjHhHqLD\nc12f5G9wye7y42yFi3Sj87CBRJzaXSOCD64r1Hpy9KTckfTFL/y20hxX4CuGBowJQGJWxgLp\nCU6q2lr5rLT+Zlt3vPV4FMwkFeTLeyLEmMFcvlt6TbOBhBeyc9kNDY8h7+/LF4xOETMIQGJW\nxgKJPy2uimii6Ap6d0BxwskyEuTqHY+rcXkFfHR+4+FEnj86slxgEEMSTDaQyIB3gKGVCynh\n2WC1ACR2+SNIfOJPq5V9Th+6RpV3kkDAnTwqTUSPi6Pi7uN2wu6rh8Uo+zlZ1p2zgTQLt1ye\noapLABKAZEo+Ccc13MlRzaTGeGe2Z63tvd4cgSd0e6IqeBgvmCHAKxtIsTiCxLf6NWUCkAAk\nU7IGpEdHqe94p79Awyjy3VNZ6/3qfiZOJoYgV4yjdlfaBnFl1+nXkwtAApBMyQqQEgZn5rjX\nI10FJHJQmfPiQUTbouWGaUZGjJBz5Pk15SnmCdkkw4t+ASQAyZSsAAmHrgtzxR0lySzHMV7/\nIFAO0iT9C3wbRchHApCYlUFBehzkPsKdUBu9zjFbeBddj8PHFWCIZQAgUQKQ2OXPIJ0ljxIU\nmvTh7P4TzvOJ89u3nc0zZjXn+bguwuWVImblFOg7ylAfQKJkEKRnJ6e0rVO+dpvJJ58DSJbJ\nApCiiRv3MmH/rJiQPAgPYetlo3i6PfywtB+15USyGH2RLb8DgETJEEjP15TiAkrWbF6zZABX\n+hs2lAAkfVnxjdQBcVRQnJqtinazIR50QDokRslqZCIYF4DkJiMgxTfkOvzAo1371nbc6/EA\nkjWyAqT74ihdkb3CXhR5y/tcLNYG6RHKUiGP588uAImSEZAKNLoqIyTq9QIAkjWyZB7Jvn/x\ndyialzSQ/al4oA3SV7hmgCsHxvYR/ZawhQUGkCgZAWnqCwqR51MAJGtkrWdDPIkgtEM80AZJ\nclp1Ohm9j8bQmSZ+ACRKMGrHrjQCEv8ZgqM1crjWBmk95iiQRB/lN+Pjviyt+AVIB5ZvjbPt\nWbaN1SfWP0Cqt8pRz6U3Bj0AkKyRxSDZw18NLDQKB23VBikeL4cdIB33wiCFsrRiLUiJaycs\ncq7cYAXpgbhIvZAYC7PsSf3aovwDpForHbVcqhRYHUCyRtY7rTqXl2uDZD9en+MyvSvmeIgX\nuzFJQhTM0oSlIF0XacgpLpI9/PHkHawgdXa5YpRhS27uHyC5aXMQgGSNUimr+aOB2bh8o/eK\n8YqvtAjkCiySVszWZbFsKUh4KW+um/xgcdvJpn8F7+Zny+Zf7pcgxX4FIFkjC0A6+n7rD5Qm\nUjVAstdAPfCtbn1Wx+JQ4eGxaMFt1sOq18hkJUi3CQ1frMXbj5muOi/jiDGdpX+AJPtAqleT\nBSIAiU3eg4QSFAcrhHXUAGmRqxdWxJtC9hs9QoMb/MTUpJUgSWvip7XD2zCmq2KDZCCxxUnx\nD5CED6PaxbmC1Srn4cq3BpCsk9cgXUfrjbiinlEONECqxHlIc6GFm6wBaXXlrKUmPH2C7597\nNRveMsaz+8B153XZAjxYDFLyRecSMIOvdifCLgv///dYmTMAknXyGiQpevYxjzMaIBXx4CjI\nSIZWS0DCT8WO0poPSc0VK8edj6cLEgZl5rg67QI47k3G9ObWghQeKjw8SSQ0gyDV3Iq3X9UF\nkKyT1yAtIR3QM7ydOkjfZpP1XPzZzrCczyUrQIrPiZvfbfskN5fZeTfBnn8QeP5BzwAu8/tu\n6QUfHhQ+DKMPMGJkMUg4Omdu/GlqEKSsZ/H2UDCAZJ28BolEA8rumfBPFaQd1COgRVbhfzUN\nJXbRBYnh8SZ5M80U9m9MlW6m4mGFX6Edx9vTSEK7++PZp/UatBQkPFjDDUUHBkEq9AHeDiwI\nIFkn7wcbBqFf6ULPE6ogVSa9Nov4v1IxVz6btJlt0FmSNkhJs0twhSfFa9QQdYncBPKvlfyV\nTitOyB4hZyPVGhTDH3FjdRq0FKTc5I8QOjAI0mSuwZSlS6Y04MYASNbJe5CSP6uWv95GhRNq\nINnJi1TLs+3yF++jGw1SQdogjUXW9VIu2bFnRfAV8eAkvqNydkWQSO5MbouKKfKV9Z12g5aC\nhAMkcb3QgUGQXsxEa5HzTHwGIFmn1JiQzYN7wQCV0/rSBOl2oPR00dYp8TaCyBzQGPGKrAeU\nXYRIxiRObfEuSVHoGbqPkqUgfYKb3IsODE/Ivnx47uw91uWxABKTUgOk93AvcJt6soW3rjdI\nMXGZhzRBkr7AlJPD3Fw8ZSNxYoqe1n20k7bvu7w+8DIvB+nOYcmfNr40MlhJ7f2zIG7wDe2b\nthSkZDESdNY5+MCkZ0M801okAIlNPgTp16uXlcNuP0afyhPcSruJhTmYkrdqgkRi53Oeb5ux\nS0a9KwZ+ragRX0UC6XZrjgvoSRZ1HBMXIZY9r3bN67jBwdo3bfE80rHPl0vuJEZBil4wfOjQ\noYNrhgBI1sl3IIXnEzrfLsVTyWs+mOI+zPw97o3e+9ollkSGQh+6n4goTBDjWqlfTUCy4Qxk\nb5PSJ+tmblBfLvETqptXKdeFTP7h2SDoFJmCLr0SQLJOPgNpK/pl5bzIWp+EOQ54ylBXe7Dh\ngPjxk91jZMAWJnHEBcy9rXShKALST6RmJMPd8PzmMhxXW2kCSi6/Aalxw1t/B8TEjekHgw0W\nymcg1TE4ojCUdN04/ap680jRMwd87Pl4OM3JFLJJ5VoCkuSvsU2lmrvu6c+D+Q1IeQ46HJkf\nOhwDmJaZA0hs8hlI+Zm+wF3agOtXZ6lryrNhnxwkLpeKRwIBSRqoY4jozyq/ASnXCeG/Kw7H\nieIAknXyGUjkRao7a307SjserJwnxk2mQLpHBUbmPlOu9cJ25bGwiX8FVarDlqTswqqN+mHF\n/Aakur2eOaosdjgOZgOQrJPPQJqL+6vC8goVJc59PeydC85De9RxT68jInO+dh/i7yMC0hTF\nOva5ObmAllHCi6A45VmFKV6lrb/4rrhCr5rfgLQ9oJBjYvZpi8vVAZCsk89AsvcVuldWOi1S\nLEuMIPsdcb7mVDXh6o9UHgjmQEqcFsrlGEKWfXDrFevMQOcqxvN8wraFO5WTsitfk/W4TjW/\nAcmxd4jjPy04rvAFAMk6+XAe6eKKlfIEsfzBmgFcZeoJtaPXm8Ov0hfFf5iDyz487gEOHzlT\n2bJp7+9ou+TQU1vRrzUhBFOm+3iRqzS+5n2dav4DEtKTG3+zcgQg6em77s0/iPcNSAeaF676\nCeU4GonWLcgT8k0RC7LRi8vfw19W5MUwr7IzgVfLKGwf5+ICOym7+F0l731jjBgka0La6lTz\nI5CeR587/+glM0cAko5Gir//nJd8YfpH1Lfekr+a9XLvb2QhwyvySldIT+5Ktsrf8F6uR7Jd\nkxN+7/2yJbqQf4QYMiChkKhTXa/ha/QyDfoNSM8mIGfHgrOYUQKQNHUId4BqPjAteSdvkBXV\nwkXlnAVzCCyXZZWIfwPXBW+yKa/itmSF7B0MKc40m+sKLsT5AHJe1bjOQyvRNSGyH+Ns34bd\ndrpX8xuQxnINPg5f/nFDbiqAZIkmk07LkNnLqKKJ6ZGysma4qJaz4FNS6YKs0gFStgKvXx2k\nbN4CkL4XvmwqiaFWJuAGSTD/aBH3EOWBCFXNzMFxpWXg/IAio8xwq+U3IBUciLcjCgNIlugj\n0ml1fMTMKIYMMsuTXxJngXnOAuKGU0A+NpaIH2XFn2wKFTatVPyFvAfpUFbptbY5vovC5MSz\nrdPDlf+ynO5WrcVq5WHE2MNnZI/OxELIYlAkXclvQMp6BG/PwlJza0Rm70uxTToaUz1smwrk\n0A+9s8mGD3qiOrSX9jFxTUI+4boHG5aqeq95D9Kb+P5681dC8V5xckI10uqP6DEzlMH2CfIH\nagld7Dcg1dyIt1tgHskidUS/7/2+MH0Bfc9+QBcemDZlj/w4aX7NYs330HX4mGVjF+uF5vIe\npFK4r9e5nIv0+trkhBpItuK4HkNmzqPEpNvqe78B6VSl0+Lm3GvHASRrlDirRonWP/tm+Pve\nuFZ9lddQWCAvQDq9/rD4Klkd9/XWbUmn57qS824gJUtMR5J67l8+CoonARXO0MV+A1LLclye\nSpVCuRK1xTj6AJI1SqXY3y7FrZu9iTUziiTTIN0TA31XPs/z83FfX59fAkkavKZAuvtOEFfo\nM/TqawAk/mtUc6Rbqd+AVL2uPG4xgGSNUhqka13zBjeQvU0eFV0YXmFetYRlGqQWqIu/lsDb\ne4g7o/hChA+ng48cpCS8FGS+uG8rgSvqrTpC2t2ibOMv3T89/QYk4wKQ9JXCIMWURt3W+aXx\nFH+sVLUyHJe7HlyWxgUvE2y+F/YPz5wXIY13cJm/kCrLQSJh9UPQA3MnGmwYZug+KfkHSNPo\n1JcvpgFI1iiFQSJzV/Wl462ka+t5fNIyAtL5hhyXey7e3+sxDBCNHjQVrjgL5CBNJNUj0VHE\nO9VarjF0m7T8A6QCja/JCLnemCkAym//p6S//6dYbIGeOf7jK9MvfWX4v45/fGX6z788y7Dn\nAJdDOpZCxu0wZPlvlV+tgp6gRyC3DB1c92ztydS3Oi79xXX8QvYrnIdrBzzCh6cmDl6ebOg+\nKTmem79WW7+r/Qr/6wlS/Otch2082v1lR6eAhvEsIP2tqBfPlMu910uVFi3Qv74y/I/jha9M\nP3/uWdYb981C0rEUODjakOUXjn9Yqy7E9gvjI+ymVP039fryf+h7OLV0C3yE/GhfeWLoRuVy\nvDR9qY6eqf4KPUFyPF9TigsoWat5rVIBXMmv2YLbwaudvlL41W4D7tfOJQd2PDOqEVZbSQZe\n7d4npKKYCsSXQjniHRY1ardSXLtUDi9KJ7ND7YzdqUz+8Won6NmJSa1rvVKr9aRjrNFPACR9\npRRICVs/3y660YirSbnKj53l0d0CuMABLBFPZDIAEvGDCkbjDSSXmGfmltPNc4V2juL57f27\nTZXPBkfNHfMVGZsfS4YljA7VO+U3IBkXgKSvFAIpQvShCxMdpHeM6B9O+XQ/PsOWzFgmAyCd\nwwti+6GDqhiG8u6VLqJ3uCLRo8RN/ivup2Ov2nicYVaQR7g8VvkPSL9dPnIk6g8AyV32HbOW\n3TRrOGVASsCJYrPVHPdY4wJmGRm1WyHGVm2Ewz+0xCzIIhs9PXpEwLg9LidrN5rQBqLeCuBy\nz7IvwydLmL5pfwHpwlto0VWWjrcAJEqxDYV/luxa7/1aShmQXBmRirhFNElaP2khc64uSYbm\nkW4unyktcfgB38OmmInN2swX15p/nY/j8obzZLKVuNMFUC+aT/G6vfkJ1dBWKe0Gm/wEpFNB\nJceu2bZt1Yj8Oa8ASHL1xR8B58wZThmQVjlB4kpS73V3xKhdOdYeaBRS/D39iFaSTHs2zMkm\n/EtNv4/AaZgkrX7aWYHcGrlFymeWPInyJN3tnTswbIOaZX35CUiN3/iL0FGrJYAkUzKJivOR\nOcMpA9JBF0j0Mm6cCy8b8hqojL7jH01q1XmFjqODeafVu99uvk3+9HDzpFe65mPwlpSXo64Y\nRW5bfGxKAw1P1s/5zkjOWyQ/ASn7VmlvIwTRlyuG/KL1gtioKGVAsjd1gdRMVuVBACeTuObv\nOvJ+a6u9RsoASEmXPIMJkze5Fjx+W+Neia8tbtonN0aHP1KVp+M6mWXve8g/8NVI1lsg8hOQ\ncmxxgpQTQJLJXtDVC03IapBu/nBIWtYqH7W7296JS2NZ7SucXO/wMe/h1MyaUz0GQLJPyy6Q\ne9mttBh5EEmDD4355PC+7wtvbbFjXsn/xj668uXsqE4XV8kT/ApYw+CCSD8BqckbZJr297rN\nACS5FqNfa2mW2IsKshYk27DMHFdsOz6gJ2Sjd5CwVeNlhQk55SD15524ddNsRg+k6Agyoo5z\nw1ZwG18no3NTJU+/9acXLZdgk0/I4lhDq8Wx8Zqy76Yt5B5Pad6Dh/wEpBOZy01av3vXunHF\ngiFAJK05uYU/qhc0KmjJWpBwPJNcONKvu2fDOURSOWrYbja6IC/umVuOOZnSTiOpDdL1tzgu\nyzDxeyaRrH9d5lYBLS8PE56cM4UPzKzT3hOOgqbhc06Q7vQMyVRhnbh3a8nHW+QfbeHkHrdr\n3qOH/AQkR0QT9NTP3OoyK0cZBSQ+OdL0LKHFIJHlPTjmiYeL0NXe5cKG3peXHKoo1M7U4Uxp\n8aqB/FdOkLRfVLUTjdVEFsQFDzeItdFuVa6/+1rV0ejb6daG9Tc+w5V+QKckkBLwGlqleEJS\npCOmwOAu+QtIAheXDh2+/DszRhkHJG9kKUhJpIv1QEd6K2QT7Ddw5JEN/NN5PQZucy2q4Kpr\nO+JogvQtNpFZIDaO5E9XiXxMRIYcOqADCaTluLCYwoeQHQcW66Vp1FP+AxLRn08BJOtk7ROp\noOYTidLO6llylMPVQW41XQAAIABJREFUK0plF/EgXqZROv4PmiDNJjCKa1nfRns5tZ8dRXD9\nBuhAAknKe6Y0uRXdxYR/oP+BtIXZAQ9A0pe1IOGs9SHYW00TpINZna9xXFapcBEpcI8s5C5N\nkFYSI2K4vgfiuHYunXiPZBCvDjqQQBqPCwPjFS+JMe4fCCCxC0CyDRI6XxH8taENUj0XR86Y\nciRBCsfV1GlGE6QH+EMNu3jbt81ccRftbR4+dIPygHVR3ChetSuBRKL4Z2XL7MIiPwHpqVNf\nAkgWyup5pOvf7ZP+WGuCFCIDaaJUSHzhuEDlkN9OaY/a7RVJqk6nW7ahuFtvKtol87Mha8UD\nCSQSydjoiIKG/AQk2b87gGShUiscV2HXr7O50L2fnhbj1tuLWgES/3j9vB20k9HxbtjwdKXq\nnaQbEbNhSiARhwburvadGJCfgFS1zGyidwAkC5VSIF2/R58c7ALpGG+fGiy84O3l+SW4pKGO\nZYO+dk9aS03V5C8PaNCR/maK/U56OmZ77AIpQv7hZIn8BKQnRb4ke/CNZKVSBqRNwutT2E/y\nk3E1pc6dPY6Ea8y0lU98S9zJcVbHskGQpOXmHFfhMHLxHe46Z5+QVSCInD4gm5CdIRbk+9lI\nO9ryE5AckTl3AkjWK0VA2o+6KZ3SLPnrYXilzwKeJ/FOs5UMKNL89cp9PJaoussYSAmuAcKu\nZMHE4CY1B+G1kHPl3wzH5S5Ch0Z0m64XhNxT8RFqq0H8BSTHzdN4e6EPgGSdUgSkprifvutW\nIX5yqaBKX9mdPjdILPOcxkC667QdIl/OkQeNI+SXlRR/opGNgknJY4I4rom7kyyW34BkXACS\nvlIEJDIuVl+53gnZlJKgE/qWjYGUTDzusjQ7dU3eUEvh3GPZcWBwllp7vAMJh5QMU0zrBCAx\nK6ODdH9AkWx1XZnrXCCRoCPtlC9rSnHELddvyOA3Es5jXkx457KXlDWUXThlw6HruPeGtERD\nDll/9uZXGE8+tlYqnfQbkGpK8fPrt5jwCECySBaClFgD9SLnujgXSCRk6WbFy/bRHHHrePsN\nneWnBkGyjRZeuKqiVQ8/yhrKIRYMw7uRkitDE29+hVLKivFKJ/0GpJavcTnCKuXkKtQqmSkH\nkws4gKQvC0EiY9evSscukGwoVv1Y5ctel96sUG4yLs/dySFclp6aARwMLzV/dDCSTCwd61BW\nepNsJR7Hi7Hu8m7g+Ta4MLc3v8KHZFniAqWTfgPStfJbnzkcz7dVe+R4ULkVgGSNLARpAOmg\nSp4NR+Z8pjamLWVW+fKQSFLwJvxoaKwVtsGrjH09SHt5iNPCiWUbxME5MmVbQuFXmHCJNSok\nntvNe0vpnN+A1Gg93q5r63DsyAUgWSMLQRqBu2IWyS2BLdEYjwfBuTCej57Rb1rUoyz4+AeN\nS7wCiYBb2i0U4EZcPMbjV/jo3UAuyyA2X+/7dQUTocq37jcgBZ/F23M5HY5T2QAka2QhSCRp\nSjvpmBEk7DGOchaJOk4eGLM1LvEKJDLg3ca9fKBYWvs3j18hXv7OGJ3cvmveWpXJJw2Q4k9F\nGksQRcsgSIWH4e24UIdjWGUAyRpZOWqHolqVcHqLMoKUjHJCj5MOpXgo4RqXeAUSCQDumcNy\n75ihq20ew98S2Jc86huUOkjzQzjulX1qZ/VlEKTJXONPv1o1+y1uqOMzLhxAskaWziPtHd5z\nvmuhDiNIPP/T9LkRrqO6qN+G3lOv7x1IUShXchWVzx4PkFZz9BPTtFRBWoNHOcz7mRsE6cUn\n+cQGc47407FzMQtHABKDUj0Zs4euiPH2c2/VquIVSHxUr1erjlFbgysDKXJQs567+O0EpENe\ntIikClIYbuAD05YNT8i+fHju7F3WnC4AEpP8DyQ+Yc2ExVrPI29BctPxz5dGuo5cIO1Dw+Sf\nxOMst2Fer/BTBSmb27elYRn3bHh84WemVH0AErNSB6ToCOUl3IzSBOnCogXqqceTwvsN2iQv\nsPXiXLG4eBlINuwEEXThqBjToeQZb+4XSRUk4m0xwLRloyB9g1p8bTeAZKFSA6So5kIHHX1w\n7KBlKh8qesEutUCaLMYR76kyCPYULd7oJC45t63o2fXzBMn7e5tUwwnSefJKt4CPWz1trVfc\nY6mC9DFqx5Xp3bAMgvQtV2PK8mUTK2U6BCBZJ9+CdGRkj0/dYu6d+/ZIFU7SqwoODI8G5uAK\nztJ8k9IAiUT0mqN8lkTEX87zySimVpUnFXFJZ/7JBUS1EyQpu+1crRsxIlWQkkW/j+xLzFs2\nCFKtnmjzsmMjAMk6+RQkFBkrv3xxXHRzjlIXj6seYFfxKVqWNUAi68YrKp8l8b9a8WQtITeS\nTM826JmJyyzOujpBSsAx97gjuj8nozTmkc4s/ea26kl9GZ2QPY63h3IASNbJlyBdxl5ttWVl\nLWmOuCD3J48de75ymbVyEGqAhBNKcIWUz5KYEE14vhl5JDbAW0xvLxlIsTNQ0XssPymT/Maz\nIdthvD3K5NUAILHJlyBJq0/vOIsuce5yX7ojjTZz2TTCo2qA9B6++nXlsyR4wyinq2xJ7A6e\nnTR6WQLp6fuBHFegaJ2F6S4cl8NRt+NLcfO8fX0AyTr5EqRppHu6lo7vcufIIy/yHNc59dQu\nGiBF4vwWu5XPnkfEFDs540Mcg1V4tVxVULiLcaTJrRJI/dBhA+sw8iOQdnIVP1qyYGSJgH0A\nknXyJUjk6ZLP1R1lTyQ8e+Lh37nMVeNV93NOaY3a7XuN44qudSs8M3sqHpc70Swk9O0B4moH\nlJFYdCewXbrKbyNNHiUg3SLrIXYY+oG15TcgObaIU94w/G2tfAnS//DIwteyMvJJwrX/8UbP\n3Jkrjxwx0e1j/lYuJ0hZEzyT7WFpT8jeuuIeUXWKOCTeTBprl6gJKdTpIil6imddK9kISPtJ\nlc/ZflIVJd2QP9H8BySHI/b8BZiQtVY+HbWLHV0iqAaVB/wGyQ+BpkyjUR4Ispw0dlK7D8QB\nhvVSbCwuW2buFeVFtQY9G8gLpZTcpY7UwFeuKkfFYYgy56XBhp9JDZ2o4Zp6PCiICx7p+gb0\nJ5AMCkDSV0pPyOL85jjhLf4Q4VCUh53iQyOTGOv02uy2mVzvdz8q2DAK0rvYVBFyWFqyLc9m\nG7f20w3iI4t8I+EnZ4lYd1MG1BmZ6Oc89g+QaskFIFmnFPds2N60aG0yFobXlqMR5sc4CEmm\nSD52XAl5huZqSjYMgkQSamYjh/Ul2zXEo1tfjF8lc7AgIF2tJJwv5o2j6inSiDM2l3+AVE8u\nAMk6paLTqp285nUV9teSbjc4weX2gJRV6UqDII3FpqqTw58kUMXFet+KwYPKuMYVpXmk5G3z\nNhhP3SKTx/IL/wDJlAAkfaWm9zdhZvKZOGd2sHaf0hwpz6waBOkaJnaqdDwNvzrmuMjzd/BT\nsa6zLrUe6dp3+xVD1LFIGtI4IBX4F0iRdgDJUqUsSFHdSpToeR3vx7XDwwo5A7hMfb8n3a5V\na47WcA8bvGGQiDtQ+R1jRm5CA3p3h+XjuCr7eWeGS1f2FhlIyWI0l2JmR8CfYmeJ8s7EGv4F\nEvcVgGSpvAHp5141mi9XDzbgCdJtFC+hMPJUjUfLNLks2NmtSxDu0I3a0hw1VHwimBtsQGpG\nQuZF48gKs0ixM7yrDKQp6Ezuq0aakulAAeHqoqecxwASszIYSEeySh8ayjo1ZdhXdKIj0qMH\nivu98X4g6cnEC67uAmeXD97UKjsX3EcpwB07SEdW7kogQSCJaG9Yktoss3PBrAwk4rU6kTep\nR8snrJAFHwKQmJXBQCIrENTefZDbTRVqaRFZVI2++ovQjx6SCnNwckOJo/AZ+Bml8MhjBSm6\nkWCg7PED8oZov3Abnv/N7Axt4gLpKbmgD1NT+gKQmJWxQIomHW2M8uldrm54defP2NegOnns\niPsFaJDWo9Dbhe7xifNbNhkx76P5UU/JzOy3nrZZQcLviSUfo5c04phagqpxhzQvBf+6d3i/\n8yFCnkiTmZrSl3+BBIMNFstnIJHsXiH8IzHcVn00wEwSs34s7pMQwbleQZtKyRFv5crbUZ4Q\n5SyxP83TNiNIN4iFNfyxiUO/fA8f0PHspGjdk/DhFOFttYDkzoB9bvNcY2mKQf4FkiEBSPry\n2avdO/hsoK0L2lYVJz0T0Erveuh7/wp64ARsOyUGECh3/kz7EpXHUI4EN0kf/8LTNiNIR6nH\nzU30hAmkPJb4xNy4Co7jsALtB5/G55LFFO0ldvIWCUBiVgYDSXuwYQbuoZWklEQovlbiwre7\nLiEDEGcbBwdXOsbz8RvnbE44jVJS1qHGJrCbTs7rnrYZQbqbSU4JfwYNaAQtvyGvsxjVaII/\nxCrh+v2lkze2HjQRrCFiXL+5CtG+ACRmZTCQ+J97VVMf/o7Fy7p//ImApO1ITdx2FkrHCZ/3\n6PuZ+KzK9o1CbdZvpD6YZeIBJN0JV1sWjpIPLxuQZyCJMpwXn2/OZFxNn4sj+YU8A7MCSMzK\naCBp6+rbOQMrb3WGIFYYM3DJTiLnS4+3WPTa2DZ81BzFWRxWkOLEzBP1I8nRVAkkLt9G+Uuk\n66FDXlb78V7oZ/RsVUiHDiAxC0Ci9Pv/UBdtgTpWeU1fm2PE/U3KMjsEHy5Vqc4+j3R7T6Q4\nYHi8XdlaMydxLhXcolQbryoMPsloXFGSs5NHNBMAiVkAEiXi2XBXnMwJk71NJVx3X3h3n0zH\nOtf/4HV2nhkjiIxGWsUvdQ1lIHEhiqnTxwmvZVk7KXyVsWsKacDj3Q5AYhaARMnpInT86/2u\nUYR73TNzIVNojwfJncEZnKswPm7GK8soSK9ic1QIo/ZCeezkZi3nUEEqV4ofONkVF0Ex6jts\nPq9H9k4AiVkAEiVF72/iufARPrp3Ea1MGkk6t3M8jbiujlMwIMogSA+I+ZGr28imgXfzj1Ds\ngtoykh5jB8BCpn2+hc89HOjLMysNgMQsAImSIkgkEmrQo9gpzRoU57g84mgeCR2U1dmlf0br\n/EqphS42CFIMQWcMzz9xBahsyg/CO5943B0nnzyyf9WnxyKd7NBUa8MLZg5b7VkOIDELQEqa\nVyV/fSnOgiJIkrv1ltxSh17F87exN85gV7WINqFFe6vGiDT6alcbt7RH3D9AEo1xJfnyeKeJ\nq+J6ck42xGh7UywozZb6kkgxiheAxCwAqT/qhsvwgSJI4aSr5nE+GUoLpT+KLqydmSc/jYJ0\nBgW7G4gPbGVxu7V5siMLJkk8hgJlww3k+62IF297WAASszI8SMdwp8uJ12grgnQXT3qWdH2r\nBCTdfzeIy9lVLeu5ggznR7o5omkXZ0SgLRzBvRfeGS+rOEx6B3RKehccShm0rx85/idj9wAg\nMSvDg/Q56XQ4Q4nyUvPvxXe6cm+6QAoln+cT2NvxMtHYNHFobhjP30FDD+XRWxv5PEv6okzm\ncvPlr2YktjG95j2hoewRxygAiVkZHqSlpNPhSSOVmA13l0z8JqGOC6QPduBtloeK1ZXEBtJT\n1YDDV75cdkHc3nqvYtWRQrMPB+UNKIvH2TxyyH5AbjObvPBDXLaO+Y55AMmAMjxIUdg9pgTu\nwRrBT8a7OGqZMI/ssSdQYQHpu7BMWdsqzrp6yNYUtY8c/TxAehAifVLJVBqXdWS8XyQAiVkZ\nHiT+M/S3m3w8qIN0kaCTc/q8/Tz/JTkqHFh+qbvPg7IYQNqJTKoMoNv2Ltsmmz0ic6ghsgCR\nMp3BKwL3ysvwdJPqhLGiACRmAUj84fdbjZL8TNVBWkHQ2Y6O7uV1PZ80crnIxABSVWyPrAq8\ndeCO7NwNMQdTGZdHnZQ1Q3zd8wSJv9gyKKAinWW9Cb5gFNPdEgFIzEo7IO1t/WrTr9Ff/1SJ\na7eS9FwS8+27ECdIQWpx8ykxgESiEiGno3tiqNWOrigqjdCpMs74jyRcFyfOW734xR7erGIX\n2m81yX3s+yhailVIO/e6mwAkZqUZkHAUUDTImyogXcXdPFSaOLr9xdheNFvaYgCJBFwQ1+jZ\n8Qh2S+mUFCHfGaD/Mo4OUTeiV91O+39Ba+SDdMLZ7a6ROWuLCyz36hSAxKy0AlI8mQ0VZ25S\nJ9Iq9gnaJCuRHlJ7WCwzgERCRoi+PseJabKCnN9Ljp2rCPnlIthFlyG838Mni6vH68NKMJqE\nDEBiVloBSYplsJhPtZDFu96u1/uUvOB2TnJTr+5Vu8YlBpBiUXgINNe6jljuRhzmrpNj2UPn\nwtSBnz8siEqlQHuR+rdhTAASs9IKSNKfaHHdnCUgRY1uP/S0R6lu7G9Kq8lXDZf9Z926LMPf\ntm8+mIwnhp1LzEeSUz3QER0gwpU+gugyb7EAJGalFZAS8GKCoEieBili8ym24Wc37RKnj4I8\nFg6wgvRgTJNWC5L4ix1JF1aP3SpJD6T7I2rU+OCBdJTkjEWZpdxckZ7HPQM47s0bbhedoDgq\nZepfQksAErPSCkj89+iv/3Rx1wXSTXEwq26UxmUqSsQdNfstt3JGkO6gy5sk8z1JH/YMd+Au\nHZAeIU++UuIA4JPDO+/zFWSAjEA1og+4Y3RwxgySdBM9r4IYXjANCkBiVpoBiY/oXbfzdrTn\nBMneGHWj2sYTeR8hfXSVWzkjSN3x1V/wJNE410r3Eh2QSKzvYTy/uRDHZZ0i85BV+fax93Se\nH82vbVu793mmWzckAIlZaQckl5wgSZ8IBn2aedc3yHK3ckaQ8Dc+115a3seVaV4oe4N9Wpfo\ngFQN26nKn8Xj2oXlILn7xz0+sP+x09uWoxLLWisAiVlpGiTiJ0PlIGfTo6z4yjNu5TRIUdsj\nlEeUibtNWz6+kqy/Z92v0aIOSDWwierSElhKbuGDwvNwXO4lMh/anA+UjXotAIlZaRok6Ymk\n1YFVhL1OB7sXy0GKFd/bKpMXpnuDqlQddl86RVaszuL5+4NDXR1aMXkskQ5IxDf7Q949a5mg\nUMr77jF2yeOKqZNmmQAkZqVpkOzYf6yO8W8knl9TK0/lBUnupXKQ8IhzYeRqcx9121KSM1AU\nmh6unsA/nFDB5SvEBWrciA5IcWh0oUIcP8CDo+DvZfU2vsKRoMby1BibVe16JwCJWWkaJP6W\nSFJ9s/npFCQDKZoEgJwhHgzE+yPIOXt45QKvfhTHn8wj7/Fcdg3L6iDZoyKFF8i4KU3Klak9\n5PapYLnFVhPeGR/F253Ab3OdCs7q3A3yiOzoocQjmy/qVvIQgMSstA0Sz5/5NsLC2ZObV//r\n3JfmaBqIB+RTqCY+lYjWxw7hba/Sz45KaiGEeA2QfijJcUXW87wNPV5Dr652OpbnHbNdrHCp\ndY6gBgdxZfknWZPy0pjELN0f7KT4wOsQq1vPTQASs9I6SFbqsNBN8y6WjqQULfXFA7LCgUwX\nkZxJ60+7vYRxxe4oW+bVQYpAT6CsB/gl2EQbPmYxeRbiT65oBAvJ25JF1ljm2Oj7/IY3Sr3x\no+6vMAaPpvdi/ZeQBCAxC0ByCicjco0158D9Ffm+dcL7JEYkTjTGddjv6tUkUldnVetqIJEp\nqTf5rngnhHe+SE5FFUgkyubCg3BO08xybKVXWoX1SG4i7rWB9/UquglAYhaA5NQY3NvCpOOF\n6DDfXWF3NzlF1viQaaSm9+UPCCcGylIDqRa+sIw0EphTKLOh1IBNsMMqDrPCFeJtb9Bt5ZQW\nzOqDJC0DjNCr6CYAiVkAklPEby7IWTBfeCZVOyHuVcGnPiYnSI8ezk90BymrqnU1kEhw7zrr\nyCBDa1S6cfDAb8i3X3tcXo7knXDJmV9TA6QddUNKfRDjfCIZnW9y3Fy1lT2+ixEBSOzyE5CS\ndoXv9hjmVhJZDlRUdul5HDjVTt6oupNynPcv/20+eU5hjnrbaqRqXQ2kjfjCT8mLZB4Px8FV\n+MQY6SVQaq+dc65YCaSDi9ZF8/wPqObryY9xqox3PetpKkkMnhm6weBVTAKQ2OUfIF0SM3FV\nZBn6PYw7qFKsOjJXNEA6/rFyQJY3sFfEk4QcLo6yqb87qY7ajRe9cYfMxAYCFFawooW49RMk\nkLJvq5RJeK+b66rgCdITMQZfng1S5KCv+VNhwqazoRjGvDSokt3Yqlo2AUjs8guQkrETW1WW\nZ9Jn4ttVR6WaZFG5LHVKXML+ZgXDJjzhF5HR6jwDXive3t3jSCb1eaSLSxadkT7QuCuLO7Wb\n/oSusGPU4DXC44cM67UQSq6dk0fI9wQJP1xzSCP4w4SHy/HvjK9WIp5QHxq+UF8AErv8AqSD\npC8xeRFdC1+k/Eh5GObRoX5EZptJIeyL62US1/FsIPHFc6EgJ4Xdw6nY1o6ediIZBVANXO9x\nrRMkia4k8r01gThBjNW5NxUlkZ+th7nLNQUgscsvQNpAOgNjgFE17+/E8IFj6BgnOG8zVwJv\nuurGq9cB6SlClSNDd/Xok7FoaG/SInQu1CPhBQYpZnhoprLL0AjFffJDD2qKtwf1bk5FJCnh\nRJOXawlAYpdfgHSK9KkTbNWZl5pLicDIp3873Qv0VshGvcVxIZ+QqN0B9IQP8b8jSys+4m9O\n6zvt3KjqVQbi+V8Ekh3nvV0gFtiII+28qELiZrxHY4zCWS1C3RcUWiEAiV1+ARL/FuoMbzL6\nETGDFEu8D8gS1f66F+jHbIiJTJZylHP0iyL5DCNNdt0pBl1Bb22FxEkuDBLxwsuBHo04u3KJ\nh3zMp90Gm184a58uvCO+YsK3Xl8AErv8A6RocR6mPWtYRAmkxHPHnmjXJGmSS8tenuLWfLpe\nNV8SWxB94kFBh8qTRt+Jl+oQAq+o3uJ5BNKnpAR95NknCQTUNDr96inHLwfOME0dGBaAxC7/\nAInnb+1XTaPnIQLSjpLCe9Z8+Ym7a5dSobj4s4Gu7sxNEkuOiJ8Upc+pWGYD6QC2l5/Ktiy5\nquKF9cHyTOdlxdMIpC9ICZmHenrqGkNzegLPBmZlAJCMCIN0CQesW+sqXymWvLZKNui8Ttad\nueFCwVM86VlRZU0SE0i2eshGph/oYvzaVuqBuNIwZLS84fLiaQRSFI6bX0MsuLJxl9EpI2UB\nSMwCkChhkAbjXlrZWRxBxpMroIU/hztVbrG+ibw/B112LRVSyfTCBBJJH+gxWL+pAhfUVmjj\n9LJ197rKG+6/eOTcm3jULlyc2C10geeTRX+EQpYsmgWQmAUgUcIgtcK9NGRzvfxV5ojfCFLm\nLjQbuoHz1FtOVx61Zd9MIG0iNtbw/O1pvSaSVEm3Nh6Ii3N+qjSTNVtcHJXLsfuXXUN6zo37\necqA+Y+FClPQqZxWRIsEkJgFIFHCIPXF3RQ7eYsOau9IPTfgAZ8gC9LgVLArqLJKB2YCSUq7\ntJr/SfRKChYjjUeJicxzbXTWkaKjvPPmG5Pwx1NeVFRCWiZL/BHGefcvgQQgMQtAooRBIl53\nZJRMeFdzeXlfcQZPxiIj00E8b0drH1QXzzGB9BWx+m1icbTNc5+PwzhnCZcy+UXhQbtOwu55\n6lba4vMJ5FA/+Ku+ACRmAUiUyKjdEtERVRqKni+8XJG/8lyuRDpM8KsEtiLCRQ96B3JZBql9\n5TOBRFLTcsckz6bp9rnOtpqSidEDrwn3gULOHqZAykLe/shqKSv8EQAkZgFIlKR5pLvrv/r5\nDOmg4uLzQ685oUrIL+u8M8i2Orrq6YUEVctMIC3H1rLZdkoN1O3maqzuo9PRPH+licDMKATN\nQ3phIXFTwo7keWD4W0EAklwplNbFhsezg9E7lf1Q8yxc/vmig8S3qHhU//xBtbeT6A1cJl03\nGiaQpO+fuLvOVU7FZaRk4rjWl7HzA8q4Rl45S+Ozr0n3/YHAV0mdrGNsApCYBSCJOtGyYJkh\n4vJRykXoAIoevEA6TJQimxzvXqPdt3hXAkk/+DcTSCOwscAEz7W3koizbBB6hUyeUYDL2ZfE\ni3Chc/f73gUzlVmol3dMXzRItqV1SzTb7rVRJACJXWkHpJNomqhygruv3bXRbd4/rHTB9QPR\neM3CHql/lyZnoldM36zoVMMC0qMO2FgzAZHPCqqhhCV5UDy0LyUlB/lb24/hd8suqGA620+v\nIRqkocjql15bFQUgscscSLdHvdlNZ3Gz5SA1wD1xDqPT6g0xwWvWTK+sEPaldBRV8KkfxFG8\nMCWXJAaQbMT3Owd6tkhL/ZSVyZmnOZk8o7jPBgnvg/lHn3MuwmLLEq0lCqQIbDWX7ooRFgFI\n7DIF0gX0njJQs47lIJGht7c1QTo+YXA4+nuf5Axfv1j4diIPDuyYdxfPMTVVuFwPpLWNSkqu\n31zQbOdKP09h96X2zgt3SyckX4thTr87pizRWqJAWkSsKj6jjQpAYpcpkOrjX9YurTqWg0Q+\nMnppgYQiWr0qPAdutHT26VwCWDdQPIcmeJmGFOhHYehBB6RpHKUjyZ7TvpigYpvFoN91nA8k\naaSP47JLO+FSlmiv3b8pkKQfjnFpl7YAJHaZASmOrLkZpVXJcpDIEPN6DZAO4Sqd+RvyHi6m\njk2e2KiNtP5WWsvgmZxWB6TrbhHyPrjmwRGXXQz3WvQA/2j9/N2y5VVbPCrWuYODtbzq9WgD\nBdIV/OAuYsm6CgCJXWZAekT6wnCtSpaDdA8tGBdDE6iCNArfV1DS2/Iu6545czOp9djTgCJI\nT09exp19PUer74MADz5K23bM34jne6M+GbxAijP+lHwjTcotVSzDfyP2+VDvHx30YAPKqhb0\no1plQwKQ2GXq1Y5MfHpG+JDJ+uHvuBkd30UjHKogSdlW4orKunZd91rk80lpbbcSSDNzcNxr\n6ENmsxs086QglFztGePIoPjHzuvWi6OMBaUXt1OiM16eFfx46eI3ef7ylH6zdOMT75k8WWf1\nrNs80t5ebwzUz9/OJACJXaZAwjkpW2iuDE+hCVlK5Pu9NF/C1duLRHpUu9UhE5f9I6WXHwWQ\n8HgCCokQnZ23n9zcAAAgAElEQVSTq3wcf1VsKOgjNAA4P4scHP429rYLs/MJ08Lyv779z+1L\n9ggPtqQ+5Gq2TKB2FCfvHc1/ab+ekI3/sLu4+WNJjx5L/3JtASSs421LVv9E3dNGVGqAJOW4\nzEJWJnWf9P4CxSwpcZHK3xAKIJXFppCbtmuQLhMX1F5c5vp08aApZLIIv/gVlR4xK0jNsz/i\n3OzbpV9h1PiCHFeYMWAS+dPwhVYdfwbpVL95CKSFY+Pixy1zbQEkZqUGSPytd+TjAdUNf3F7\ngmQni9XfRkdH+jTqe/LAoA4T7z1KdL+WZL9oQ9znFpCbGE62hVyDCrbIi9QK3fPdw16fp3yv\nZMV6A62b9meQNiccE0H6reMNh+Nm5/9JWwCJXZaAZL+tNKalMY90Xf7ulXdou05jzhppT+GJ\nVAjbGqZ3qY3EeeSy4STse8nDMUi6G9U1fMfQQFs7xXPkEVtRq2V/BsnhQCBd7vjM4XjW8Yq0\nBZDY5R1IR5etv88njMnBBQ/xHFzTAOlHzl1BKww0qwASdtQLVhgrFxBokj13ewkQZw6/YPSd\nFNUcP8mcN6Ia3AXHa+YUPUXIkvWuWjedBkA61Fvc7X1Y2gr/uzZc0M1nSnr5QrHYAv3r8JXl\nZ//6yvBzx0vT1/4murOFbsdvRd09Tr9Q/4e+5AESl/3xs2dnWhetNuM3UuePY5suqFz+0vHc\nvejPnoKNkHVKtW+gyPxFE/GRK97JlN+f7inFcblDuBJLv5UKq6vd8v+RCqOVTt5CE7w5b6v+\nwIIcvvsdqv0K/zEI0r7+4m6/fdJW+N+JWoIu6l0N8kofop4lJZC4LDvz76a6Betu+BcfPI2I\nc7/yZVVPkhY78DK/tviy62Lc4aY29ru5/s025dokV9N4fPTnm1KDpQJxmMhsFxyOJ+TVLtcN\nsc7vhzdddbfyJ5mMGqfYxvm6mTLVO89+symjl849I0+kXkekrfC/5/8V9OsvSvrrd8ViC/TM\n8f98Zfqlrwz/n+Nvs5faZTlYBK2UncIxQ6aJu/fFoJIt7rhde644567av5DZ0A2/PFi7YDs+\neEux5b8c/zFwn8Ww2cbkMLG8e8sdf7n8HV691PruC+FXuFscwGv5xM1MXVx5q0orT9zru8vx\n3MA9G9J/1X6F/2cQpCsdhWfYXx2uSVvpJHwj6cuLb6QYujt+5zpzEy+lyyyOjGFvusbuoxFP\nv2rttrYh6CeyM3CLzHNI8dufLUCkJAJOa3I41QPh1zoL/yteP6ztbhTX7g5eC++eSewM+rvx\njoGGaaWBb6Q/OgvsRHb5U9oCSOzyAiQ7Cb6Al4sXkc0EfUd6qPBhLq0x90zi8B4qz13F2Z/J\nk4Mr4PTP4VQmRA2BtI4AG06OiSuvbAAeVyiB/IQEkMiIeBb3iBHXBtVrE84Y91xB/gySzbaz\nm832h2PFqMcxH6xyOLcAErO8GbXDsUSK7hYzO4Tuk52Q4jtucTH1tfvFj8gC8M/k4Yo9dV2p\nYSMgSbOzXSUEasvxlwuRJoA0lhx7JM70Tv4MUgek7Y6/w3v0WCm81klbAIlZ3oBknxjMcVVP\n8rHLxy2mUhM/xmPMuR+54p3u4a9Pe+/Tu64658iJKdOdPdkjrznHBTRWWr5gAKQE8nhzZlvm\nh+GCDlnd25osnhVAItn8sqnG8DcnfwZJRwCSvrybR4o7fkXxXWeDOAgWJMZisGHX08qJP4ge\ncLldb2oPyZOo4ZtNpOAklZQeSfncvcJ5QyBJvLqWij9A4xwF7y52J0l6IsXgQC1jmP8VWLS7\nY53u5nPCaAtAYpefgqSq80NaDTm8ZU0kz0dVFzplxZ9j8AdVcZfnXy93ZDJ381zuIGiop3UD\nIEURK7J0GHcGlC/77g2evzy/j7wd5zcSH1FNuJnBLueitXUK1lzq3XqkhaiJJV7ZUBWAxK60\nBRKKRPCF8AgKGi48k35asTfZ+a3k+pSKFVNTKqJD6w1P+0a+kfBjLvgSPrq46YDMideGA0w0\nF0ftKuAVRyiIvu3iPtm6CfwpOJr9x/dUNHbPzRatX9WEACR2pSGQkucW5fKOjCWD2YtI6WqC\nxVZZzfPrP9LniOvg2YQRkE7nEY18hvafihGBSsuiL9wUo+i3ieYjNx8l3qgkGXNElwoN5+Oi\nB2Su1pvFQ9Kfke+9sKEuAIldaQgkPBnboQfuOpVIKflWcQv+uJTTl8K6REPD39HTuo0k61vx\nrGuh6KQNU5egMPn2qBM76cE5DNIBBE8nVLKL3MdK9iY9JHkgAUhMApB4V+jfGniTXyp/Dx1+\nSFcms0xZX1MfAx+i0AYLSLaNH810Zvy72jV/7rdOPyXPlo/FEEMhGwSOhQ+3uvSwIAbpNVm/\nl5zz1vLmdQ8PbAQbeLVLjnygXwkLQGJX2gFJClmP8+VxtaVRvYSpRbkSs92X8+Cx6KV8mApG\n5T0ncnkmkGLF6aKgmfjgPprrzSE9F0qj/+e8vhZti7h6d8z+I7+Lv8L7pKL4XRRL1tsG31Fs\nh1GfIRtfsF8wOxfHvX6erS6AxK60A5LkyvAJilHM5c4c9o10ymORnfDcWFK7SOPVQ8o5lwPR\ns0khexTbYACpHzaAOSTRVqSRDbKtTXz7JkvXzMvBcYXFN8mHpKI4Ak4y0Xp4DBnUjnZVO7OG\nOrmycDoOxFoqRr8yDyAZUdoByY4fLrnvfV+c4/AMkU5g3ni3x9GIEFefL6EY4JQBJBy4joyd\nU6k1OaePH2mkG7lkA37yiN9T1fEZMSKglO5F6xPp7vR+067q3RHzhOznrgmuuUwXAEjsSjsg\n8afFoIvZNgqmL+KkKFyo9lryTzla+xLPRB6UIqUuVbpCH6QkAkmWd8SFeq3k5isckIKjkDrS\nVxgJ+iomFTuFHqf9xNKE/9/eecBXUex9fxNCOiWh9yIgHaT30IsQkI5Ild6kCIKiiHoBAalB\nQBFQQEBEivTeew819JCe8b7Pcx+uHT3vTtndmS1nZ0+C4STz+3wgu7OzsyXzze7O/Es+zJep\nrRLWbmg9EfStdQUkXpAOURPFb3LtIUDilxeBBB58OngatPt++vNk0h/cp2DtgCsp4w3ZP+g1\n/EeguP5NNNuD44lURumLFY5uOLmA4qhLEviA4TbgANkFRz+RisDly4PrdvgCf959h14751gf\nKhEHQwq3GRzgBWkUdW6TuPYQIPHLm0BS9PRn8kSSbrutR/y0g0hl5K0w7hH5VDI1BuAAaQ3V\nHaUGLbTlafKHWTt6o5pEhowzSst0TZ0e1PQNd5G/leEVm3QFvCBRFh+BfKMNAiR+eSdIp/Fb\nSl339Uh0bfL+RYKTzO6PfhQ2/TPPM/z9JW3eXXvVgDcao6Vc8FkZQ7tCFew5EU8lKZG5Gji8\nTiXHps2nIC9I2vMyhHPqSoDEL+8ECbv2FLjgvl4qfrcr2I9+Tkg1IFgv7Tfdg2tCdgLd2k4A\n7sK3vZzfoW27SjDHCsT2FgSvck4uUtZN8lJqE2afFyRsVCu9/XGUZRwWnQRI/PJSkMCx8X1m\nmATvZpWKXYRysAZDEee/2WMR3JILpPfpxpYrn2LEZClh52r65S8POkeSMbpC37HOsq1gZO3G\nx7lH7U42kqS8TuxbBUj88laQaN23cvC5S17naM9YWectW+YC6TjtJlFiN7H0CVVPIoWO3YAe\nVJ+jRTSWp7gvJSWbts0qeUZxqdAU9xFtHfkjPbAdS2ckQOLXiwHS2SEt+5u/bJmJBWldGSlb\n4xOmFU9LptphWhmKz9buE9iI4uuUS3nT0yLfHS+gHWt16pnNF0tRB0eXeaC+f0Az83PWyWSu\nWS/h2MetzA7SJjQQPJ+3OgMSThCb33T87jFl16DJxzq5OafR6qFxvWeocb8akZ8XtO2xi8cr\n73876umOPl7efgYNIIa7mUFyIgEStzI5SAn4YzzQuoOzYkAis53mXj2DSO/1pbtyL5B8zeIP\nPb/192dqcw3I8DpKE5OoThHj2Hwjq+sxhiYRJCBeP1L1/qE0uRMJkLiVyUFSjGX08yxWYkAi\n3z+Vp642geOxmX9fkY6Bkn9/T02EAIjuHhZQV8vA1GM2WTgLDtTz948gr3jJs8r4vzRzo+Ho\n05PVSd2XUcXYPjLm7Uz83nklQOLWCwzSgysWcaQcgKTEnVvMWZ8BSUuFVKhBhQ76+c12ho6s\nqL1ZyzwgPX6JbWiLMm867Sx6Y8tNf9AvkAwquEqJ9u2LxrXxPGl9m8GH7+qElZlsnqpcgMSt\nFxak0/IHQri5kYsDkB6Rl6NT9lWRFJD2zP3qNhjHdlNd3qFXUaEhrg+U2Ug0D0jM6Lfk/6H6\nQPVriH++8XjreuUtVXkilaR2CdilNNEaaPkztjAHublpHzMUiZMvtTX9oyVA4taLCtKD4uj3\na5rvwclgA06nNYq3OgYpHoZazfllQoREK4wZLCauCswnkqIok5Z5QHqNbqTTRfkTT4nfSgby\nSuWVpOyjcJ9PwJ58zcEhGKOPjH20SMqNF4oCNf2L6joPlTo6u/wGukkrSCZTuhvMTkiAxK0X\nFaSP8a+3iNk2R8PfaxsWrMUfTgeDNBQdO+hM6saJramufYCqGEvc0hWSQmiXJDOjah6QetMg\nnYEljPmdcjASXegUtDZveEu+HwtGzyYjfaUUq/EKQBuipxOJooTKUo5LaoESssjU1lSAxK0X\nFSTF9kYfgxfqeU/IphLHIJiTkv6kb97u3YcgbkbnN1akHldHBLB9nTSAqlfELCcmD0jfUo0Q\nb4TJklElSPXk3V+iwA7Q1ZwAX0exAnwXblDGx6k3ZBJjWQuAd5PU+cDshARI3HpRQSLfJ8Fm\nz5L0BSlhWuNXBismYgikWNK3esvLyfWZPlzkHLItqFVOKSif2gdVnafVyf2RWeBgrlG7wepx\nppL3yJMmIPnr9oIgfYM3RZHHWjM0zniFjDtWUaumkLFGKr0YGUX/5rM5xoxnAiRuvaggEWOZ\ngWbb0hUkTEoYGQ/Dr3a5lT/vsm53yUZ7kpdk+3SeoyB+xwfv7yaTt5Lv7Deh/WZn44PUFqSD\nQyLHRW8h43a7cFkCeJDDCFIJ3Z4o+MlE+JWEsmhuGz9mLXmZI3liC2l1iQMTNTd2Al0tqjlY\nf04CJG69qCCBBTA+YUOzN7v0BYkk926H1zBINXFZPlwWfyl5Q2QtYovDzh51vb/zFV+/BvIL\nVkozVDAoFqcqr9682XvsuduBhB5pITsIs6PkkgeDw3xK4bFBgnIQHoPMoXM6xFGEzi9eYBib\n7IP3bkhWo+dN6YEKQs5RlWImdxqM45EZfHsFSNx6YUECV+ZP22w+kZSuIHXGXSgnXsMgEf/X\nULpeVzOQ9h9HXRvO78R0zyb5j4r/UttYjvlUsgHpCo5rWpzsO1BFEysAPaCXzMJrVCbyxFNX\nlQCRJjqFPdRJBJNVcDIKjgMWMIyGEC/COrpiARK3XlyQrPU8QMqF1zBI5Au/Hl2P9GEqn5gk\ndVBmZfvCGnHn5A+TadTmkfT+NiAtIvsQkuYDsJ4+Uv4Lo9oO3r46kqyqwYln5ZSkSmetf4Xf\nl5SkvMSs4woeQ2mybpvxOU88bV/SFQuQuJXlQZqnMIGEQcKTWAHMvOpd9FEetE4xVvWTAgY9\nVPKNl1+wjjx+llO9vxK9vw1Ic8g+M9H/1RIAmEqD9OpnG+KW51RXlUlZfLR8N00ajFs/94cU\n+bl28bRio4eblnzumtTuhre10RULkLiV5UFKRkYD4VfxGrFsuNwpp38dKqNJ6uxCUlClssUi\nT4FDZOIoe6Hu18AZ7U2vEK7+iPJjrUAfxw1Ip6YOmUfe40KebHzFP0+/O0B9BCLBN7RCmr15\nQWUsk1jWvW1s8yD8W1D1Kl00iex9weQU8CtqgN4kQ4DErSwPEkj4OKL2MOVvumZrx4Tjwp26\nATJaq6ax04eOWpxvwajJ+8CuN/OoJUxgKmuQPqM8MqC/B6HkEh5ZqL17wvCXJVZqaHFi8NDZ\n0OYTzHN9uox8voWaevNtKiVJxdbpSwVI3BIgMdJ7yGIlkBnab+DKbMmNkIFB9b0l4Y/CjAeD\nJUhnArXdm9MbFkPACp0H4BxzCP8aWn8nbn7GWONrSWV6HC8B/wn4yOLSr5rMfgmQuCVAYnS6\nRUjOdoZkKGdJt0TmAqk93JGENPXuyKpVhtxh2rAEiY412UEtTTiw6fqZdwfNhp9eO+m2mUkk\n7EIbeJgq2tmhYuu1qmn4Nrp2dIdsUq4PnaRmFiBxS4BE6zx69OTVf7zfIt3yI9wJd39QQHKr\nCsaWLUFKrU3tqM6T7iwpSdkGkdfL6/SYOzPVkwj9+IK/pH6FePjhPRLtwUfnKRt/1VmGcwES\ntwRItIj5tSHqLvb59pGCe11FtjeMdalRRU2atgJpJrVfmNLvb+IPLcWQlEp3WSManO1Wpvo7\nT8imA3OWXafmkWKxIYT/eWxm97qnN4JIgMQtARItYqBTmy09vXC65rWavemyt/q2NcJDPzVa\nmTRtBZLiPRgkSeV339iN3VnJ615O4pIX21fz1sizDU2y1o3TxgwokDaRWktuyKfo29fUMMSB\nBEjcEiDRqoK7YVOmcDTEp83IYMmdCjfWcAo8YtK0FUhk4K9mwolLd6BFRQc4RKEYr0bW74sD\nAt3vph6J+A/5+dXAIYuuDWnc4XPljY1YFMEIqncO3E/z/RAgcUuARGsK7oaMYy7xS5hvDVH/\nUzMrK8uv+PlW3WbWtM0TabT8tdQSLbVMpUMAS/44ouox1RVXe/ShQYZT6LOuJ2kNRzyVfM3s\nzz2QAIlbAiRaiSgrUQfGd4N4eTcx9YWV9eolcF+L7vBFgsXrlBVI2NMOWpEeIU3IeFwP09rP\nh9/honSJXaCayeUkyyBxcCWjIGXT6X4IkLglQGL0n28GDVnDFpHZ0CotLUCKAOAjbQ3GkI/7\nPmqvoWXLUbuRfsSKdDVpAk63bimqNbl6XNfen18DN8jbHRUlogAA8YSr4bi19nhtyu3DpqGM\nnEqAxC0BEiM8IXv7X8NmqrOpZGCh03U6qCmltgDU0tbeBGAvtM5pqI8nZ23ZcH3DDjQGpySs\nROGK4nasUd7vkAtFtsEpiXXwuvZIkh88T8hiJJ61uohG7Uo3l3cYYB4YyJEESNwSIDFCIG2D\njqVhSvitPfgRMBYkRA0rTRNEvGTbgFvUW19t8AB7c7+qa9neQzYex10ogQFIiVnBAvs+SGyF\nl1RTCOgLr1gsZXsTDcyf61yszGBsy93P3cH4JEDilgCJEQQptiDqh8WU8WUcDiHgoLyYun7c\nlIVKNyb9OaQfnblICifOTD66uIzmIO2aOGoV/iLbVcc/CFsilbsG5Pc4Q5yvfABE6opgDK2D\nasVhSqNkDNzXzCjcmQRI3BIgMYIgKXMxSnZy8uEPv0Iurvhi4668EpcOsS2bgoQSgdeFj6Aj\nlMVdY5BAxuGlvNSow7mFNfXHgKH2TnUj7uM+ymeR4pKxK823Q4DELQESIwjSKtIPiW1oMvkm\n6QHAaGSnHSTxKJvuI8kMJGJaCh0AaXdYab3i5icV1nyQcpjEosQmGMRPXDUwUkYtLqT5dgiQ\nuCVAYgRBUsLBKXMxZJBhrOrFyiV92BYzkLrjqjB4H/N6GKTmZPUpZGy5nLaIQVpM1hSDisd4\nNL5x2m+HAIlbAiRGaLChL+qHQ5QyEgqyAzCkf4AqZiyqBK1z9GNmZiCRAUEYL6Ik04JqRVFo\niB6fysuSh6n1sGNSoq9yhkiP1k+AWFaPjjlmFmDPiQRI3BIgMUIgxb8dLuV9VxlrWBKCu2l+\nYPJ0kD4eakQr/tJOYzIVM5DG4x3qA7Atp6EZpA9jlYOq01gz5VfCbnXQmHh7bBn0dTblXOo0\nm5W4GU7KVv1ky7U2kuQ3OG1j4AIkbgmQGCmOfdqfcjVbUX7FiIBRrmb6knB92gosM5DuIlvY\ngD0gOtzYMtTgFCX6arBqAY4DlFweUKPZXGzTup5w1AgFqGuIhyd6JWH3DNPAgNwSIHFLgMTI\n4CGboAZo7MpEFLZS8U/NYosAi1G7c20CslXbok9Docr37XvgFnkUZVde90J0bdwnZxhChymX\n/L4mTdxKy+0QIHFLgMTIANIppWfmuwHAXF3qZRO9YdWyxYRsMnqDVNL/SdM7sc0Fh0iB1ci7\nJYn/qvcafE/FjtnzHfLT/PnIKQEStwRIWJe7FinS7bIRpKukPzZCmWSfHNjW0D1Ie6wO4Nay\nQX0ivQy6GNskr26v42fSUt2+XU3PI2gZWbjg4Q1BEiBxS4CEdCsf7HT5bhmDn2BzmyAlD8o5\nC4s7ogZylYdTWndcZAj+7xak62oepNQES1Lf+K6o/Ij6kOySuHnhD8gVfaCuGp4vnvAQ+yKm\nbQxcgMQtARISySLTzwjSaYiY/yIAUha/1m7qTS05ZSWt72pvfEMBuIMMt1vpgyOYg3RhE460\nso18AeUHYJ0VSDNA4uHdD8mOZ2CasQrngZZOjKjRyVryB9WIJLAbklQ1benNBUjcEiAhEZOc\nyibhuB7O6DfplMwR+ujXgtZJNfootkL+vdTCTbvqkxexRbpmzEC6A61QG8O+fpuYLYwFgKQM\n89NzVJZ2dErCGFeF43bvaXWKNZqeAFIv7UXGQrHfzNrMnWHNXAIkbgmQkEgon1rmce2gFuo7\ntiQVWjcS2gzlGl5WKck3W7Xj6aTb3wwkPCBXJ1kNGez7BAAytNBaN+zQgkrEnJSiROhCQwlX\nP3wLPxMD0/b8MUqAxC0BEhL5q/6eNUgdjSBJwU2nrVsw3PDsQGqv298EJCWJ2E419jD0jiWm\nEs0SxgVJflqgiAHqbrvr+AcrRhZfw4JnP4FNyArwM8fXvaFe3krTEy03C5C4JUBCSkBOc3UT\nrEEiYUV8qP+h2nxnipExoKkJSEpazaXggfLK6Ftr70Sy2CEl+UrCkxFKe02UvY5RduKSmvry\n7JAW/YxuuXbCUfB6WG4XIHFLgISVtLBHj4XJFiGLoUi+lurwJaoy1ZWLmHNUWR9h2wSkY6Tu\ntkTKxTbHaeIuDm2BwFctlYGMtspeLejDTIEl1vmRbJRAnDR2WlUQIHFLgMTIGqT4CrDLhV6Y\nG2Zqkq1T/of6/U1ASsUj3VUTF9C79gKE07o4EhjRO8pezMHD4OCgxyAp75YW4cDvbTn2bw9b\ntpUAiV+ZCyRwf2SFEt3Or7FlCKmUYXezwYZoaL1X7byawh2pugJS7tvHqOJNyk5l6MoSNAp8\n9lPcj2s9CcB1njQyy3TrTPkDLSzKg2Z5JEDiVyYDCUufYcVC5Q07ms4jpR5csS+FSmYOFXFb\nmZ31H6GVhsnEnBj12virisk4VtCkWhV63/8BThn1STK2b6NUPNwYYMgaAEXms3bdvZDsuGF7\nCZD4lRlBSqUzIrlRKxDD4SGraBO960JtripUKy376MDHcGQuaFtCff3BQrEPxgTnl7sfjbV/\nYroNxzuHM2c5/+W8ZTsJkPiVGUEC5Glh4vYtF76UvRjxQ28t/60vz0RcdWsiNEhrpM8YczSV\nIxZOSFk5Io9ZjZwezL5Gj2s30MKslbaFmue8ZRsJkPiVKUEy+vER+WTL3TdetXzDwR1OUDu6\nD8e1sX9JvGMrQKeMKSEZNTJBzZ2sU7rEhFRF2/zld5YNhkMCJH5lBpASPqxSsNl2qiCuEQ2P\ntog8VoP3g8c10MMBF3ahdrSJa5dKXtjCr1CN+prNAkvlHykxylnlTt/e/g3ddtrj8eskQOJX\nJgApBRu+0blVU797t4np8wDKr2Lv84s0E9bK1H7WIMXD/6Yr7LxDt1fD9CiDQQLrrIuT0L6b\nvrcCfBiovlAGOh/IsJEAiV+ZACQSzSc8agf9/fGaJUiQJSoaSgS1kwVISdMKSnknxsf4m7eG\nJo18dIXFAEiO6k1Fi/ykJAzPkO6Da3c27T+NzSjSIWirTgIkfnk/SPe1Mbpq6jxN0icWgUqM\n+pxqywIkPLTQezNvk1AF0J4xWsHHCQc23TBrPa1y/bkUWvs1Sms0IqMESPzyfpD2UL23lvJM\nGq/v15bqSrdlDtJ14h+e331LrEhYcc2uaNrzuBVQrj/B9aiPtz6HlgVI/HrBQErdPme1wXBH\nLxakE3T3PYDLDljlSTLIlwmDYg7SJvtm1OaUhdDzeN/TajhjS1u5tErY2nEry4B0F36f59ts\nU4sFKbU81ZHXoqJ5yseMSWBInVijanOQdtu2osoHT1EFdDiN9jzzZtOuvbEbVT/PfoXnopZc\nsKkiQOJWlgEJ+8mF20Sn0g02HKNmPo/Dgk1clg2BcDC8Nfv4MwcpsTg/SdXhEFrpaLzj9wjo\nrhtbFK0x6zePfoVj5Rb8J7qvI0DiVlYB6T55M5rjvpp+HqmP2o1bw9W7IVxdfn7C9hXHdS1b\nDDbscf+myHDb46PRS4h3RiJOPSPlgVGLPLL+/gI3sJopTHzCVhIgcSurgHSOdMZJ7qvpQHqg\ner+iZOPXC3JxJH0Jbhq8Tq3mkSjrIKmbPpYrGh/M3p/gFBCv7nVYqVEszkOQcBZ2lIZW0aEa\nfj4VvqMrCZC4lVVAekKmFpe5r6YDSXHY6YtfqCL4OAoYn1vy73GHbdnMH2nLzBV34xVTidAg\n33Irq5i117w3Wbh+UwmAsl/duMkRSJc/Hr0YhwMnn394zvjarusALMUPR3rkQoDErawCEpiA\nekl5m6DyFEhXhzXtsoDMhWKvnIt8HElt0P/12QlSI0j34FBB+IbU9ZSlhOmLXuinBNBCkk8T\nPNQQp0ZSLtdqNv830go4v1oMxegjmTAi5cXbcLnDLvL0rUPVtwUpdeO7s87wHp2WAIlfLxZI\nSWPkj+tGF2xqaSAdpT6HimBTM74htmzdSFCFtUzLRpCwgUSuaFDPpsWwe5Q/e9F7aOcl1Pa2\nvEZ217BfRl10MegRHXBAhgHnAVCGIXNSO9iB9KSBvIO/uRuGewmQ+PVigQRA7FH7pKoEpPhZ\nvagElyJb8tIAACAASURBVAX24Y2n9LY67vU+07IBpIfky2emhS23pi7gUEVJ8iOxv6fi3XtQ\nFXjdWJXMGihq1yr5g6/wGnnhAHu0YtQOdiARj0TLOM3WEiDx60UDiUcYpBgme7lUC2163Jt7\nKhaLdeIxgHSJVJsA3jTZObe2WPj4ph0PTv14hxy+O0jasmhLEm110Z3z6kgAFzySD5JOn0Fv\nnyvZI79F7WAHEjnLwZzHpyRA4pf3gtRd16sXwMJekjPlvM60bAApgcSs+xzcDjTsXJSMOvh3\nbDEZZq7Nu1rttUPPwTAsFc5SgVG6Aj6tx9WD2A9FJdgknmouQ4c/sgEphbDdjfP4lARI/PJe\nkHJIrPLJHyHX6AKbaVk4Hxv6Dduy8RsJ51CGwx/zDC1UrEgWjgIcYijwOCBZMHdj147KSRt6\nNSZOgPM5ry4Fj3nrggYlYWhf+SpcknwjGTdbuycSCTE7lfP4lARI/PIGkFJWjhz/I7WOQErN\nru/Xdw2x6t0r3+i5emtsI0jJb8vf+xEX4WKooQXlu2maMk79JniCfFZ9lKB6W1OUGK+NuX3M\nY/oGSwVm6scmzkJqq1wEj7asZ5+itiBh5z8y/uFIAiR+eQFI8fVwH1WFn0g1cQcNr1UUL/g1\nj5ikToFKPLbaxgBXZhOyCcfhNO+j3fvfNTSgsDxFeTy2lgH/hI6O3GI6/hncOIXrV7h9eK9/\nxYIUs06ftC3qR1NvJtvh76WFJd+I0zyH10mAxC8vAOkt3BdXqQUYpL1oaLhC/F3q0VSCsjrI\nESbZqI3hUJYesrNlUsJNg6lAfa88kdoB1RoBy0fFuZZ18G5N42DNotHO7o81SJe+WoNSr4Fb\nsVZV3EqAxC8vAKkk7ola5ggy/L27UWihfnfUz3CkHtW05bySnT7QH8oKpPVum+kIQGeyuAYA\nqyfhDNsLvUHmnVo7uz+WIMFJuWDnMfs1CZD45QUgESCaqwWsidAhureW3mpLDyV/feRTK5Aa\nuGslW7WlqhN6gWRQltmoWaZH2lzmWXXKN5s+JLlBTAUrkBbh1nbYNWYtARK/vAAkYpyjTZ2w\nICWXpPptieVOQJKm6w5lBZKdX5Nmf36BDR5Uc5q62Nn9VcZSUY4fua35YHCYTykqRZoVSOTh\nzDvsbiIBEr+8AKSD6NukkBYUVWe0upf6SOqlWQhZRCph9Sob6MAKpNo2zWjjC1dBUmutvNiF\nlCHKsj47oE6LtL1ecluRGAtpriZWIBEr+Ibuj+tOAiR+eQFIYHtNv8A257R1vT/SPpUZ33If\nun0LM6oX05IVSF/YNaPY/FWAtb+f0p+szpXXri1FgV/b2NjajdMa2+S24gZcKVR117ACidDf\n2/1x3UmAxC9vAEn+JmDGfQ2RVs91LlZu4DDsx9qJGTWzVTZmpNly1G6Sv4XRt46nw7i6Mgzf\nEg3V3ZsQ8epnv9v8CmeQXYLq/OC+4vuk4imlwAqktahaoN550YEESPz6R0DCI7+Jxw8+sart\nSOYhi+NJAK7pbN+2s2E9SbdhHSAy+utvt7tvyK903beUgetkJa+69mFn548UjUNWWifmU0Tc\nNSQ1Fa3lqN1s+Y4UWmuxkUcCJH49f5Di3s4vFZ+VDL4rKkk5Z6dH0+YgKXmKmDxGufpMN9rI\nMd2ficXtLmTx5nC3DbGGpAfIu57/YxA/vU2raXH2jn0bYPuN7EODX8bxVWqrBdbzSLH7DtsO\nALqTAIlfzx+knuj3/s4pbP75jfu9uGQO0hnSnydQr2AB8iPwcjnzfo8fVQOZNtyAdN5oIaRT\nB/kV9F+tIiaieCpKYL1T8cjqrkKsvYfsvVWzuYaqo+AnYaHz6rrwkOWWN4NEpnn8iF12jXRo\n2hykVPw6FUBH54IPiRTzhOZSQWgP14O1sbYG6YGpfzmjvMeSULboYjBUHkmU6RszCS+M8Tj1\npVFnpw6aTY02CpC45c0gLSbdjBh4hqdD0xZpXfah16kB+Dg+VWCkbfnjLPUti35fP+XYpqu6\nJixBSjYkDjNRIWKN1weo7nkVlbGzyukIkk4CJG55M0irSC8jsysV0qFpc5Dizl4e32Hw/lnk\neLsv7EJBVD+y7PfbjG2YgpQwq2PHrhwcSVJh/EP+Y5HQRrlcYltbQYAkQPJICkgx2Ha01A7c\noWxC1nHJDKT7vX0lv0GxGrjn5vZ/a/fXYyZq+Vv0GmJsxQyk+OpcEEGR+SzfhZX9iDNUeC9i\nsDBQgCRA8kjqYMMaOMoUth/MhaMNQ9Mjz5YJSOfwNH5PAB7j6aSIUpKd3jC2bAbSRG6O3KhQ\njABJgOSRtHmkK1MHfgzte26tXn7e3R7cgiClLq2Rt0aUguVlZUjtHAAHS8o/67Wx79z95b1j\npnQeTMWIMwPJLuqJvbJXGHRLHf5OWvPBkhjDQdIiARK3vBukdBcE6T3URZWQrIoXg/Ttw+sg\nYXPUniQeS7s6j8+guaH31JbNQKps14y1FMMhGPCSgBQNYzmEuTcCcigBErcESIxkkG7gMW2/\nK7hEzYdcVZIKwLhX8cZebWLi0I8MqR1WWjYDaYDnIFUiP+FLJAGpKSoIv52Ot0OAxC0BEiMZ\nJMXTjoSXf5msZlcLuZKCBZGf6iPJDKQ7+TwGSYlppIF0nZQsTMfbIUDilgCJkQzS96RDrscl\noxgwysgllSQHmqC0bDr8bTNsMdLyI6rWfXJC2qvdcbIJpe+L2zB/uxYS5UCXVzqs9+R2CJC4\nJUBiJIP0CA+q58JhisETNGhXoAvupT7JAJinGtepAInCoBp2moH0tfs2qqYwuSqwSsAQXLUu\ng93oEdkSjolgkB75a0fcB90FywwZvSZVO4wHMbMESPwSIDGCgw3fwB7pv5KUkOSUxIwnTC5h\nTFdt1FIdkzcDqbf7neeAcybBIUrN++oAbPXqwFciZiHjd/KN9DbaXDtJZkp1u20mV0jAJrH+\nHoxrCpC4JUBihOaRTg9rM0R1gSBZG4i5KpxpjebOai4N1Zw7zEBq6Hbnko8AbRSrMhVwSNcM\nASlpYpDkGwnj6a3S9npXSwFj40drJgEStzI5SHd3Hk1y0rRxQpb9TGkO++lO7mD6X2jtmIHk\ndkaq3mnFYxXqsx/j5ijLzXTNqBOySRdwbKxPtf0qyu95AiRVAiRa3CCljpff0kr9aF9RlRGk\njmz3rgBtusdLnFqptWMG0lw3u34tb6dC6V3Rsp5J2d66zzRjsGzYqO1XDIB4EoXvHHAsARK3\nMjVIM1EHCrvGlp5/o2aLxRZRfkk2ivUr1F5HZ32Aioh8Y1lFiU8BVB4ZM5BuunlJhJaDBdS1\ngvLaQ+1BWIpK9Jz8WZs6g1hb88Saak0YVxKnm5jMd88YCZC4lalBIibTbN7Yg8ivtZf5Hgik\n5dAadaCC2pIQSQpdNJiTHUbTqJZNh7/XWZOUYzmgP5FgWOUK2uoo0kBMCmgP10PZtHlXm5N6\nQehbb0+nSq09cnv0YpB+fmqmP341LU4HPXP993k1/ffzavhn159c9f6H9KbeTClO5iBtM93l\nt9+fPj2Dp2jKlm+/Wy55hOZ6Rsyv5yzLGFRluuU/TH+1D6IGWfmrBx59+h61mq3Clw+1qjXR\n9U0Pk4Jb4YLGuobvHT3UMjB7/cNcN8pSrmdp299av/xhseG/6QTSL6b683fz8rTrmevX59X0\n38+r4V9dz/gqEsOBd+iyJNIVJ5ru8ccfv/wyUuu9K375pZtjfhQVv0u3/KfrN/OT7Gm1f/1v\nrrdkChaeVRdrwz3peJG+/zG2/NSkzJlcf6W1BSv9ZvkrTCeQxKudvbhf7SajPhbCfGXfIz1v\nrOke8NWOGl4IfZRqGd7enbJtHNb/Sza0vbmH7NbB7oLl+bPZZYOfqFNY4+V979KO7r4rPcqJ\nbCMvfrUTINmLG6QkOOOZZw1bSCx8zK2kIUhUKjzpxyTnb3RQXfShv81BGmffEi31WVkBzk/p\nc0N3ssnY7oEESNzK1CABcG7Fpoe6ogPoGWMR5A2CdJFK2LcTWMQ3sVWJ79iWzUDa5bBNYgQU\n/l4sADEnj+o3v2k4QFolQOJWJgfJTGdfr9psobvh783Fla6Z8wkI0ndXydcm8SVRwFGmZTOQ\nxjrjSB0NXwrONZSkILwePrUZGZ30T58gmZQESNzKgiC5E55HSlSMCFYBEKHrzfyvep2Ylk1A\niqvliKPwSGWpGMkvAQfPc2wEzyaQcsP7pJVSo5pV7XHSvp4AiVsCJEaKZUMH1DEbL3wCTqBH\nUvEq2R2POhRkWjbJIasMJXBE/pak7BOWqcs+8/HP0AXDWrXotfoZWQ3g/khCgxb+O23rCZC4\nJUBipICUMK1abti/i23vEJotoMjQuyD5ml1cYb38mJaNII1x1lw3LWhRLiWg3gH0djfwQRG0\nNlJp+fCH77kNl0/CLpW2DRcjQOKWAAnpzqbvUag6zdbuCo6DjL7vg1F6huPNAvyLOun6t+gj\nGEBylreMeW4NIRH1spNEad8ehDFg+yjBuBGh7dwY6yq5n69ZV8ESIHFLgAT1kfz+FjoP0CDN\npjsxya2cnLTESdfvRx9CD1JsDvsGLNQo7gKOfdKDfLD1BclHNql5lnHOFehAYSUFJNvUzCxI\nR1vnLT4wncIUCZD45T0grcH9aisN0vt01/Xrex2XJtjH6dZUkT6GHqSd9vubK/um+Lfw91p9\nxUGiCW7yUqfw3G1Ogk64sKz19ZJjl7G9MQxIx9HX4svpMzQoQOKX94BEEoi1p0H6lu2+Be/g\n4r2t+Qa/oYrRx9CD5HQOSVPCCPSj9NZU8q0jdUct3kEfTDkv4fyVUj43FzwAVvDfbXtjGJDI\n+KUhX7tHEiDxy3tAIrm7qtMgpTRhu+8AWLje0TdSPfoYepCe2OZysVDureSF7nuwjRRtRi2S\nlLKdh+KfjdxccOrS1q+8ftr+xjAgEUv1Dva7cUiAxC/vAamJ2kUox757/UOlonO7KP23ElBy\nN3OrC52KyzDY0MhDkIrkIQuzSCQ7qRSeXa5D1qLR8GKA/fPGXgxIxAQ4DanMKQmQ+OU9IBGX\n7p16D1mYKWg9sSeQH1dkdkmVbyGbPl+eIskAUkubna2kcCR9CUi41Vxh1WGEZYJVRXC4jo9U\ndoO7Cz43sFFXnpCsDEhvKIdNDwmQ+OU9IIFZcpfMDcOoPt0xot9C1mz7Hdx/3gaMZx3S0Gk2\nnZ56vTKA5MRVMCdlT6HEp8x3H+TWSt+VLwIvTZTbjr3r9nJ/RIP6U+zvCwPSPfQG3MV+Lx4J\nkPjlRSCB+1u2P4I/URy5ioydawLKvVItHtBvY8TFrphko11qMwaQzoXY7ayJtksiyVx8tgLQ\nRSv1uwFSkI9fHfvUrinktE/Y1mSHv+NmdO6z2nYfPgmQ+OVNIBF9g3tYf6YwYVZkh1moe36u\n9lueQPpQH6mtGEB6NLMwP0mUmuOZ4jfjZvcdTIW9+xaA1JX9+yxJtr9KJSXuLNuaYkKWWwIk\nWiSidl6r7cOc9nqtr+pBmibzUFD/rsijGV9BW6FXr5aEKw3bKokz3doEsVLCEX1iW1OAxC0B\nEi1iXx1sWeF4QUedPkBzW9WBFIW255zs2G+wWgKImVwye25sXiftvI9N8MJjjSd7e5+5GUIS\neZAdsL0fAiRuCZBoTcU9rJ51jeGOev10bUcdSCRAEJfhtybfAmPlT7m91Cj8SLAKvmYGfMue\n5ulFUfvayx9S3dkIeERfo105/AAFSNwSINF6jAamAtz8qX5on/dSVQ3aT0EHkvWMlPtUL5NT\nbisTRkgDADg1of1oXVxvaPuAGY00vYqdbUrXt/JtpCVA4pYAiVHM6+GBDdxNZSa34AeJCS3M\ngpQYbLlXNrcJMbMFSTmzU+vzgUmk1Siqgma/kHCFHohImV+3ZMvtNrdDgMStrA1S9MfD5zJj\n3WZZzRl10Pdsz0B620EzhCDT0mpwNPHZTw9HFPavoo1MU6GOpTLNPkUOFXd7+UlB47SxcZww\nhoqpbCYBEreyNEjfwqmc/MeoEjOQEqeXCa6yFDvBLdV6qI9tWJS6j6hWGJAueu5Doekl/7z9\nY8DxObMvpzZFBWrI/pfYiq3lc0/FsVeHKVUO4k3h7medBEjcysogxeDo8i9THwtmIOFgcv9C\ny4xRUIBJ9iJG9AcKDdJKj4Ll6dQgGbKNInS1xiV5lFc3vfXRcgB+xEu+SjRyYgYhsRFa9BIg\ncSsrg7TC2JlMQDqCK/k/kJcfOOzse7RmKJBupcfzSJLGrqoVzppW4OAnj25gfyNtZL0PAPPI\nopKaQwnv4t66QYDErawJ0u1NP8hczNd1LmAK0kJSC1qBJtLf+RxaoDVDgbTUfkfPBH2mTjWS\npAJvFpCkYms3zSUfVn203GMKOMS6oah7QwgBEreyJEhT5VerXFFKqFI/atrSBCQltkLVXgPW\nADt7b50oyzQKJHdpkTwTfvjA6a972GNq5dnz8IWV+IcsT9r2GQ7dUl2Nd4KmzAK2ub9RAiRu\nZUWQvkJ9KmA3MWR4m9p0YmibEbo5mZvUpGlrZ/07jJoOpUDSp1xKu1DCpvwXgDql/BI+0hnk\nPdjyJIyNAsdGSlFh0H/o0ei1tfHu75QAiVtZEaTauLN1AY9H5JIKTKfebhbD8gCdp05pj/t3\nCBWDkR5s6JwGZswUcPDw2Nc/QeP4JLeFD4khdGVA9SYzY7FJX5kpK5kxui/zSlKeZW7vlACJ\nW1kRJOIvXhcu0yPU4AaeJs3PjglP9LyHV9BiYtEgPXEyG2UlfzxmKL/Vld5I2r216nMym5uL\nvoDNZI/jzGXtxkOHbhODCpC4lRVBIiY23cDxCf1m0CR9SXoca9oQp0VmdCwLfySPQwhRmr8d\nRfVZEH1VsWxYqHk41acvQIkhxj5pCcyt3N0pARK3siJIq1EPCtg7B5p7FqA+iZQep7Ocaeh5\nb/9abYQB6ZCnOS4oHQNXxrYfchioJkIHqNkpxqNKCTbEZmMmgcVednenBEjcyooggeny3/Lw\nZWexm2ttrfw07lsBNw8dp93N+6r9sySvQ58ibZqGBumIVbpLc5maiDfX4g0TkAZQW5nokCTI\nuC78DzEabOLuRgmQuJUlQQJ3f/jxEfiEdDoq9TjO5NUltyQVofwSTuNPp5DCvXS2N/aqojZC\ng1TbSRP5/rXZpLTNHe38CEjtta0hF5jLjYah7jreY+/BOlzVre+4AIlbWQ6k1F1Rm/FgghK4\nl3q3S1lcI1+d8ag0EH2aHxzaccJ1sLmkJOX5XI2D4kSDlaYpkJKceCEtBiDGMA3cmLHsISBp\nuW9zrdJf9eUfjeGJ35dfBf3dBDYGAiQHymog3YBPg5eOwEUSSzWMfouDE7Ik20qvhDP30dRp\nyIprKRdOwfE3fa4kDgUqLVMgJTv5QgoZHKNMDimSX0x9elFG6wSkSziC45TZX3HG57628qur\n7msIkLiV1UBqijpbKRjAOhXH9o3SNt6L+vDbBEBikhQJ0L5OyvV8ddB+AJo5B8lXaZt+tXPW\nTuGbKfPK+BXWPZZe005bGbXbVlqScsz0+NaYSIDErSwG0gXSDb+BKw9H5PerQMU73ALNaMpc\nqm7RoeeA6Q4pksyfSOBimKM2gmccSwRXm+pKtTE41bEv+ezB9E3ILEDiVhYDSZnAmUPWaZvN\ne9jJu/ZCyVyBlxOd5aqEekNpnRn+vuAgph2Sf3vDQN/GG5O6jkEfcgYP2XSTAIlbWQykaNIL\nzeL1Kl4VZ+FXu5nH0HsgobtDAKTRSusMSFH2O9pqCbSj84cvptYgnVr0hc1XkHsJkLiVxUAi\ntmg1zdLZKanFdoMLn3Ywi8xdOBF87LS7+ythshiQpnjOj6IqJdGP4GvWIKW+KVcIsI9eZy0B\nEreyGkiPIElNTf9M/4B7aLYYsMMiNMkWZtKTT2dJ6wxIizxBh5VyJlHWIM1WztpjCZC4ldVA\nAuD2zsvmG0hGpFEgySqkd+nHAyy2WEv5GmNAus+frcxKfbT2rUCqjGukIey9AIlbWQ8ka8V0\nzyYFj7uTeoj00a5ffKqbOu2wwHGHJ+lnWZCi7fezU1QQ/nnAGiSSkKax53dEgMQtARKt+OiZ\n+aUQxdZmAQDHWulGyxyHGK5EmmZAOpwGgrCqJeDwJb2BNUgkKlc/8608EiBxS4DE6CPU9chz\nCNnhXIcePkU8D1dSiLTMgHTP81c7X+jr6tv+GkhdXjXopWk4rp35xXyHdgjmSHFpJQEStwRI\ntB7Tz58BuCxl69xv4+qb92oO5SdNswEiOzptpiz5GXl///WUy2xmccvh76hwSSr5vb50de28\nVWaZDVsaJUDilgCJ1lHSXbtWC3n5Y2SDl7znywOpHpmrElUnTTMgDXLcTLkA/FLZxuSsreeR\nEo+fN0T4/gy1wxFBHwiQHEiAROsS6bZ1JhNj6XNV4Vo0uOzMg4jSYtI0DdIajv3UYQ4/8o/o\nrPGsHVk2PCZD+0d4KguQuCVAYqTaAIVshauJ2I20QaqT2PmM2iot0yD15NixqLJwYvPUGVSy\nWBObDBak5NlV8tSyjum9l7Qzj+d2CJC4JUBidE2dQioII1VtIyu1/bVx8AjbxLG0lDc7BiRH\nsU9eTwUXqVVjaNT73368nvrkGYqqWaa1VAYMo6wq0BIgcUuAxOgpWKQMfq/sW6lWe8kgh+Pf\navI/GqTJjpqYD25oK8ZJoa0wmlDFa8oqyWsZYJphTFYSTvUXyGWDJ0DilgCJ0dOfSfhI+eXO\nGTEW8ldapkE6ab8fpQYgqYqyXPe6/oz3Y/NaFTDFHtYy9dE29LnH9WaHQUo6suMu5+3jlwCJ\nX14H0sWuxUoPvnUWd0THM6/mClUad/qNpKlMe3/lbKqkGs5ZGQVR7J6UkGJ7LS/z8ug2g+zT\nxyJBkHaUkv8cjDMcOI0SIPHL20C6itztSmwujjoiscDJI9klo3Qv/7YktB0N0sseN2dIJqi+\nfO4nBTfxqFxB94mPOCWDFI2DhqfFhtxMAiR+eRtIXZkuS0aJO5z//tISKU3Cse0okI7l9Lit\nofqTVqL6+21bsukxKkHvdoE/qDWun3OfccKdZJCIx0d++8qOJEDil7eBVJLpssSIZy7c0kst\nLSo5Vzia2dVAOpCGNGM99SddnGwoKf8riOk5MqTdmEvK9r0V5RNYRFZu7OUMi6JIBukNcgCb\ncPtOJUDil7eBVI7ts+iFrjH6a56ylHgkZPMoejEKza2BZBUTgkcf6k+a2EjggC3hN/Sbr+EX\nszVw+UZrGH3okb6KO8kgkWy34Y5vp3sJkPjlbSCNYLqs35VxjVvNgg+ThLmFzV3PeYViuaog\nJaRhGKMkCsJ1e+BLJXqQwYWHyAivKYkAO0N/TWNweWV5MRnbC3ZzcktkkEh4iUlpubMmEiDx\ny9tAesz4xaovUdMIQ47DNajyhR/+KkiOwkMy8mt9ATbwAL3OheOZo1V1c4Y3XHKF1BijvyYy\nFhEkL24ndSzcGk0FR+3WwXmq3nxGrvwSIPHL20BSQ69CNVMCMKrp9cI97f+SBOM2pP3Vzn/l\najiLGkcCWKJHC44hMTmB/A0wzA7hRNJSMUByP8n6QV/HjdA80qPvvzpnW9OpBEj88jqQEhvA\njvZyy7LVh+5TC/O76dmcBFSE7WggmYXyNqissSi7fMSxALxKVsPlh8QdfAp+l/GXTPEH+ksi\n2T2nyIsbyH4n9XVMtLJFxY7wFgjLBm4JkCglR73x+kL2JSaWExY3CkCTP9TwdwWOnboOCzOd\nE174nbo4THHdkw/RrLufJFU7DgyaCV9MO8NrisOZB+tx3Acc/fxrAZIDCZAYGZIxp+r9JxwP\nFYQdRA1RII2w30mSck+KpNZWLmuLFypR75/TlMBHsnId2Wl0PYK6vPhTMld7pJRcrxqHjd0p\n3GR4ggCJXwIkRsas5u10HdyQGcJOeXE7FEjOhy0CF7YhA+/h06ni1Y81rLvbX1zCpvnbTGHT\naR5p8qAAiV8CJEbGJ1IJtks7D7ZQBDdEgTTYcRuh6tIrx+mmU7TTqZB+N2E+afKQAIlfAiRG\nT9d3qN3nDFVwRUqrhuOGKJAcB2ygtOpGHmrtSk11sVb63YQzuMW8iQIkfgmQGI2FPcincGc1\n8g4FUnnWGI9Xc3FDGkjX0xBCaOotZhRx4n51onhqOt4F7C/1rRhscCABEi0lNCTJ1ycrVcvA\n0s8zd/PQC6ghDaSNHjWD1bM3s9od7G9MFjt/sB9sjKzV43B63Id1HWqghgRI3BIg0fpI7aJ1\nlSK15wYeq+hZ56+GBtQ1kLbb72Kp0DLM6hgADmhrODXtGvVqnuzbkkaPPAEStwRItD5UO6Uf\nslY999kns0hB3tWgtYe9fwdsSgMpLg02En6MK1PQKUC7oWOFK55IawtIUoD7HLF2EiBxS4BE\na4/aHf2hS+iH0HAAxzh4ZRWgZm2cCSUFVEG6PTANjoLVh9Jr78P2XtPXIVYZJ7FrIleQEysJ\nkLglQGKkjkzDQIzkHaxlFWRmOiJuUVMnWZQ1Ia9vBaSHJT1qg2jX3cLU2kXY4L1WZodTL6V8\nWm6HAIlbAiRG/1kegcJ854UGAMSnrRgZY4bJHTwZcCuEJkEVkMZ50IKqUfXRDGwomZ2tch41\nGf0BXSc3ccEjphChptfJKQEStwRImk4vXxf7M0hd2qnZhBhw/1AMMWqwyDrGLfyZooDUJC1N\nKYEiS5FB8GpPdq8+AZ4l0P6GX5GrGYhXy6XljgiQuCVAUpQMx+dy4QALILaP/DqHrTylymnp\n+rIaMU+k5mlsDUsJugXJqvfTT2vRO+eoVS0qdFDDoxzFVoJzba97Uc/u8yzcjQRI3MqsIPHY\nlLGaivpdEJ5Aeh2t4E+ijaXT2OtR+G8CUoqHY+g6DadXWvwEjver23WH7oK+DJMk/7fsLjup\nIWyipnnQIQEStzIlSPHvFPEtPdchS+QrHln0XCNdtIwkFVwGtqSx1yN7UgLSW2lpqJxF+W3z\nJAvyDgAAEu1JREFUK3q4eW207WWTEf+JphsFSNzKlCDhqD8OjWbIOEJ9uKzMmc6LQY7Ze1sX\nrfaBo5DfjFASVwzSTo8bkdXpsIUroWVUVQ6RzE9VTTcKkLiVGUE6iPtGdmfT+sQYNAwunyY9\ndC21fa6h//KqIIzDjUEq73EjSJoVuERHfrgEUpd1az/1scP7iESGJF823ShA4lZmBGkR6V8/\nOmq1AdkrDq7guAglYLAF8HjTLPj5kdrX4/7fCxCQHnrchDvl/ykV5bco5jBqHRKZbnrddKMA\niVuZEaQVpIMdctTqSLyTP7INOgyfT0VRhOyt0Gw1Fww8fLCmoQ/zKScgID1Jp4jijPzO/bQU\nL/Xw4GbGFIR7hhuC8yMJkLiVGUG6g0MCl3IWqncX7oyd4fJtOPkqlYcPp1u4sQDY01Z52NWz\npyogpXVOyqCcVfrdePYTcfDwKIrj1Z5FC3W5aL5NgMStzAgSWA29dHLvc1/JIOSFUw69HhGT\n78ny4qekxwZWj0rVRTXmVg1AQJrpMTA5zKPhVYaxiZ/9RFwFc3hyN91JgMStTAkSuDilz4fO\nPxj2Txi8DM+alsIdEyYdGq/12kJ1Jpcw9mV7ZYeTpAikN+wrWyi0h1mpzx2wZ9q00z8R949m\nTq72UK+6Xe2G+wRI3MqcIHksErOBTMFGyIsLPO77qpbBJhFIwzxvJMx0EmlLH/h/3/hK8Efw\naXeXphN+Tf3UfSUBEreyPEgPPuo97qi6RkDqj7tprpxN9jzMbdaBHWkJbBKBlKZpJDMRE9iF\n90eUKxp5ysFlP8GXFeB+xlaAxK2sDtJZ6Bzkr/5hJiDdVWdfA/Yd8SgDBa03YJMQpPtpCXti\npkJkOjV72Eujnb3K7iAtfOm2lgCJW1kdJOyeHaAEDlLCcd0f15A4ddcEKTXS2N1RZnMIkklu\n5zQpcGslbSUvV3plRUq+9uVuawmQuJXFQbpJ+tPHZJ2Ka0cSvfqlpOHDBisbbE4G6VxaG2Ll\n3/UK4x7b1smFPyQD8e5zUwiQuJXFQbpIOiGMMg9Sojo0m3BH2UQSOYRwxbx3r44AgbQp7S1l\nU56OVSYtiAFXftwSpG0LdHTlC9E+NiEdBEjcyuIgJZFAJOvhCvqCCVf+Rq/HW7qq3udpyDX2\nBQLpmOcNqGpEfuYG4DYMxlJHi4bir2Qej/t2zmb7yejNrco2W21TR4DErSwOEsCJllvAPkjs\nFlopmwbAtZIxytxPgdWed//qCKTUUp63oKoA/hEOUpuhBS0WeZPdUyfD5EcH4EhJlSvGa01N\nNZa5lwCJW1kdJPBVpeyFR6PEquRdTv3DDr57s8cn6xeSP/kB+9Z53vvz4sGGSzk8b0IReUC+\nFq0PVxnSBf7fPjkWTxob0rccaxYU3OKEs5sjQOJWlgdJE7EL8qMcAk9ps6DbwQXPe38JDNJ1\nK888B9qAQqvmO19Gv4Gc/rS1ZP2jRUxKsctoFD+3yYPKjQRI3BIgqSK5IRtoJQlaSrBqIPZV\nyWO9iUCKCfG8BVVTEmc2bzA6ZpphQ0n8oxJlitGPepcjJkbm7hJWEiBxS4CkKhl5JAVRae+2\nan2yCuiTht4/DoHUJg0tqOoPkj5t2WBUB8MG4ipfjDpp6V/atZBYEVUc3RIBErcyN0iPvvxw\ntXlYDzPFvVejXK+zVMEXWpfs9thxhjFaEyFIaRj20/R+Chpk0CcSlCSCaavk+loZFYsLzzxz\nZb7UJEDiVqYGaTd0WittlZL7xOdrDc7oTKKxHdpDKPj0RSlN2vOL69/mnhDOlOfGInq1GoQT\neQsOvIKs5wIPgxvt1ASdYdrFEAPxGfy3GQiQHCgzgxRbFHc201HfJPjRkPsrXSkNUn+tvwbs\nAE94c5iba5j8RKqSphaQSu8E3fASekBWfDAzVJIKtm/aeTUAB+v4+lTeAs885hAZgawBtox7\nax26muSWsKCNs9BKAiRuZWaQlPHqo2YbJ6JNQSfZ0qc/p64cPBzFPFlO9d9igDOFsqXKyyCl\nNayXrAMAdMFLITveGhiViG1PA4lTfRwaxr87pkFlEqd/HYqn1AKFf0z9etiwNcCZBEjcyswg\nKeFIN2tFt77+6hJeyou3Vek89R61y9P/jYCl7VPYLMwd5E0JMPhJBU8zSeSRQRrp4b6UBrZr\nS4YZWqLzbYlXXqMu4XZBpXLYAnIHPM7mJ0DiVmYGaTfuRj6aWfScYEnyHwOXkrUwJHkvaLs8\nnY7LZgPQUOu+IWflV8HrKTc3je3UvphniSuLySBV82hPg5C5aWCHYfAtjswmVaeuuqdacYXC\nWSVP77QAiVuZGaRUPPnfXy0gTjgLAbjTi4rnU1/b5ekruKixGqeqQO7QZkfAo8H+UtDwsp73\n/kgZJOcWQgVMc5I1qPsyMpEYoYZ3bE1dtZb3ZQKoixeKe3qnBUjcyswggZievpL/sDh1nXyn\nVwVJTGB8nwdKhcSnxPagJgDXUScOxB9YnRwzoFNdGaSSTncqm7LErPjlOYXwQrVeOGA5E8hS\nfbOT3lcyUrzq6Z0WIHErU4Mkf36fpaeRSOLiAmA+2zNvoa0ps4pLBYgtwwB5/XiT7NlemReR\no8DrNw47RcAgnxTXBedB7dp0t2sWulWw+S27KNsCToBo9McgyKGFnSYBErcyOUisiDlaHcBG\neiyGx8ffQysoA0UeHC8xIf4Imvh8iZm78Ux7XP082CubmzWsMkFSzmEPqYu8TmIvI7OG4039\n/WrvNt4JTgmQuJWlQDqO7QHWKVGCiHfPBrRxLemmNYJD25xO+WbiRzCWCHmGmcbCcqbw1Dz2\nlTxVG3qq7ObgajVb9Bx3GK8l8Vt2GCVA4laWAgmslT8ucs4BoCnufyGx40vnagB9eECSOtpd\n6EgqeFxLXvD/CAAS+CQiHTq70TqOQwa7JF9zO6Mt6Xh7KQmQuJW1QAIJR/bDwPjEiG60tmGy\n1inzfX2PvIXtuUXc6Fp7AoFOHpl+VzWUmI++O7P84ZYAiVtZDCRFyPynOZzxT/60at46XwNm\naDqMmIRmJzn7pC9CpQxSQfsqUIvT4baaSIDErSwKEtj5zriNaAFPF31mOmGjqGGLdA9+77kq\nBBnLctxM8w0xlTeB9POCnj0X/ipAcqD09EciAUmCall23Hbtw54TEp4p9ORXUYPYoiC7ICae\nyptA+mx8bPyERQIkB0pPkBR/0k8NHVbR3PzPDwqPNEk+7ZN+6qpv/U8dhYZ0Ii8C6f86Rrtc\n11/7rwCJX+kfRUiSDn1dXJJqNlZ6Z7vi6lf90H+QES7BKHmAfMVV6P7+XfDsuf0KvQikix3/\ncLn+6HhJgMSv9ATpGu6RRZIAuP0AgEv4pSnXZXD3CTYILfROhtDiRsh2sBVeRokuBEiy9vaG\n//feJ0DiV7rGbJgH+2PgNrL29OfJAZJUEq0egSNm4TtWuOnT/5wKqXEqJZjQFlxGH26t0USs\nAEnWjv7w/3475P/OdJR15ZmZ/v7LtDgd9LfrebX87Dm2/Hc6NnZuZIeJ95WVv/5+9tPxK7/h\nlf9Z8d6y1GdPK2YYPZTe+6kkXvCfiU8uflyjdp//jm9HOt4NVul6oxn9ZdXyn2l6Ir2+X4Dk\npOV/9Pd7p7GxXxtjjzxflfvfZ1dryxQ1/ey6ye14XnfDm0C61PF3l+vXyKvKuni1s9fzz9in\n05W9F5UQ29mxZ+3i3WkKKmSUMjnkM6l5gfCS9YfMQMNyLTpWbtKnZdlKI1CUlsuHYk1PWrza\nyfr5NZmhC51/ESDx6x8HCer7Qf3n94kYcPx0I0kKmwVAInKKyLEiApvjhbzXyJwQLuU5lfJJ\nnXLN2zQcdkE53omuLzeYlcR10gIkqCVjHj0ctVxdFSDZK0NA0nT/Ig7FM7xAsdnw54FAKfsn\ncEF+avnsu3sZfC4z5jNsbIU8cATdx4d2Q/Lx9fHJETG6U2SbSqVK1Rw+rsvApfdWfvRNWiy0\nBUhYv0X17Ln0dwGSA2UwSJ4J5ZB9PhIgmUiAZC8BEisBkgDJIwmQWAmQBEgeSYDESoAkQPJI\nAiRWAiQBkkcSILESIAmQPJIAiZUASYDkkQRIrARIAiSPJEBiJUASIHkkARIrAZIAySMJkFgJ\nkARIHkmAxEqAJEDySAIkVgIkAZJHEiCxEiAJkDySAImVAEmA5JEESKwESAIkjyRAYiVAEiB5\nJAESKwGSAMkjCZBYCZAESB5JgMRKgCRA8kgCJFYCJAGSRxIgsRIgCZA8kgCJlQBJgOSRBEis\nBEgCJI8kQGIlQBIgeSQBEisBkgDJIwmQWAmQBEgeSYDESoAkQPJIAiRWAiQBkkcSILESIAmQ\nPJIAiZUA6QXQhhm/ZvQpONa/Z2zP6FNwrn0zEjL6FJxrxuoMPLh3gTSm5v9l9Ck4VmzNaRl9\nCs41p+bNjD4F56o5IAMPLkB63hIg/VMSIHFLgPQPSYDkVAKk5y0B0j8lAZKQkLdLgCQklA4S\nIAkJpYMESEJC6SBvAil+bHf44+cFPXsu9KKJ2eGRst7K6LNwIm+7w0gZfJu9CKSj/WYikD4b\nHxs/YVFGnw2/+m1NSUn5d0afhRN52x1GyuDb7EUgrU04CEH6v47RLtf11/6b0afDre6nM/oM\nHMrr7jBSBt9mLwLJ5UIgXez4h8v1R8dLGX0yvPor8mpGn4JDedsdRsro2+x9IO3tDRd778vg\nc+HW08g5A3tOT8ro03Agb7vDSBl9m70PpB394WK/HRl7Kvz6f6OWxz2YNPzPjD4PfnnbHUbK\n6NvsFSCdjIyMPOlinkiv78/YU+KSct4u15PI6Aw+FwfyojusUwbeZq8A6efHjx//7CIgXer4\nu8v1q1d8eCjn7XL9GXk8g8/FgbzoDuuUgbfZK0BShED6+TX5N3yh8y8ZfTK8Sv7xmct1P/Ju\nRp8Hv7ztDiNl9G32IpBSUrZ0S0n52bVkzKOHo5Zn9NlwC3RdmnRvwjt/Z/R5OJCX3WGkjL7N\nXgRSJNL3rt+ievZc+ntGnw2/oid177fgfzP6LJzI2+4wUgbfZi8CSUjoxZUASUgoHSRAEhJK\nBwmQhITSQQIkIaF0kABJSCgdJEASEkoHCZAyUnVrpnG3mnV1myIqpeV8hDyWACkjZQnSwWbh\nuet8Ky9MlYj2mO6GQbo1tExQ7ldmw9lIAVIGSYCUkbIC6UffeqvWtpSiIEgzVyPFm+6GQPrG\nP+eIpZ+1lyrGC5AyTAKkjBQiYmu94KCa8Onz7N1CQRHRrWu4XNVK/eJy/VGsGgTptlpbrQh3\n++u9goG1j9aSQbrkVzkRbt7g204GqeqNiODCo6HB6ff1coU1OSovNGgLy976lT6C62CTkOD6\n3uVy9EJLgJSRgkRslCL3HuolfeVyfSANO7GyTHmZjT0n4NbGpRmQtIpwt4+lESfXly8qV+7u\nQ5xw3uz2X1dEuSpfHHlL+sjl2uHT89DueoExLleTqtW/PDpW+oQ+wu5snQ4e6ubjhRlnXlAJ\nkDJSkIiXKv4lL71S3PVXnobywnpJGT+ICxrJgKRWhLv9la+evHIeVs5dg2oxQpKfQX8XiXC5\nhub/w+W6IX2qlBWKoI9QufIz+QFVqdo/dKGZXwKkjJRMRKw0ES69Kz2+L30oL/wRTED6f6+U\nBDRIWkW42wPpXbiWv67rv1JPqsWIvPD/elXI6m/SCLksHB2riks7QiLefZLkVWHCXmQJkDJS\nMhGnpQVwabF05pS0DC5VwCDdLlvuoYsatfsfrSLc7RReq1bX9btPD6pFPNjQUP7/P+9WzZXd\nRxoml1UkZdoRzivNXv+HrjTTS4CUkZKJOANfvlyuRdLZkxLypauEQNqWoy3KTzpV+mQF0u9a\nRbjbSWkhXKssVy5QkWpRA6lN8PyL9x8gkJQy7QgXpFFnkLwseN2LKwFSRkomIk4aA5fekeJu\nw+EA15+hEKR12Sb/hWpor3ZaRbjbHfRu9nduufIQiQQqWNk2RYPmiTTVBd8HaZC0IyTjxoTS\nTQKkjBQcbChfXP7s/7vKy64/QlvLRd/DoYDT2f5FalCDDWpFuNufuevLRYdh5TvBJe7B7cdy\n1vtLgyZami8vTJCGUCBRR6hS6Dd58fXh/+TVZmoJkDJSEKQtPpEH9r3ms8XlGi5NPL262st1\nXX9WLroB6VcaJK0i3O1tadC+L0qXhY+vLaFBAz9f2D1b1ScUNL8VeGnPkcF9S9ZMoF731CO4\ndvo23n5ssPR1Bl145pMAKSOFJmS31w0KbrhLXvh5SFhI23s167mSlKGAJGZCVq0Id/t9bL6A\nWsfaoqHv++PLh+SutQB+72jQnKwVVPid35fmyEuVqUdwufY3CQmt/d0/fcGZVwKkF03FW3n/\nEbKgBEgvjrbOlv+75zvJm4+QZSVAenE0Xxpx9IfKIQ+8+QhZVgKkF0iLKwXlaH3Bu4+QVSVA\nEhJKBwmQhITSQQIkIaF0kABJSCgdJEASEkoHCZCEhNJBAiQhoXSQAElIKB30/wEW8Z6doFXP\nkAAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### Volcano plot for condition effect\n",
    "ggplot(results(ddsadd, contrast = c(\"condition\", \"pH4\", \"pH8\"), tidy = TRUE), \n",
    "       aes(x = log2FoldChange, y = -log10(padj))) + geom_point()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "“Removed 348 rows containing missing values (geom_point).”"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAMAAADKOT/pAAADAFBMVEUAAAABAQECAgIDAwME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\n15pk16S3IWMAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### Volcano plot for genotype effect\n",
    "ggplot(results(ddsadd, contrast = c(\"genotype\", \"sre1d\", \"WT\"), tidy = TRUE), \n",
    "       aes(x = log2FoldChange, y = -log10(padj))) + geom_point()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Get \"expression\" data from counts"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "'matrix'"
      ],
      "text/latex": [
       "'matrix'"
      ],
      "text/markdown": [
       "'matrix'"
      ],
      "text/plain": [
       "[1] \"matrix\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### Normalized counts\n",
    "normexp <- assay(ddsadd, normalize=TRUE)\n",
    "class(normexp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "'DESeqTransform'"
      ],
      "text/latex": [
       "'DESeqTransform'"
      ],
      "text/markdown": [
       "'DESeqTransform'"
      ],
      "text/plain": [
       "[1] \"DESeqTransform\"\n",
       "attr(,\"package\")\n",
       "[1] \"DESeq2\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### rlog transform\n",
    "rlexp <- rlog(ddsadd, blind = TRUE)\n",
    "class(rlexp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "'DESeqTransform'"
      ],
      "text/latex": [
       "'DESeqTransform'"
      ],
      "text/markdown": [
       "'DESeqTransform'"
      ],
      "text/plain": [
       "[1] \"DESeqTransform\"\n",
       "attr(,\"package\")\n",
       "[1] \"DESeq2\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "vstexp <- vst(ddsadd)\n",
    "class(vstexp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "'matrix'"
      ],
      "text/latex": [
       "'matrix'"
      ],
      "text/markdown": [
       "'matrix'"
      ],
      "text/plain": [
       "[1] \"matrix\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### FPM\n",
    "fpmexp <- fpm(ddsadd)\n",
    "class(normexp)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Principal Components Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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\nHQBAEMIOACAIYQcAEISwAwAI4v8AbZKt8b1qHxAAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "###  Color by condition\n",
    "plotPCA(rlexp, intgroup = c(\"condition\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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\nQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "###  Color by genotype\n",
    "plotPCA(rlexp, intgroup = c(\"genotype\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94\nAAAgAElEQVR4nOzdeXxTVcL/8XOztEkautDSFrqwVXaEIiIgP0RhAEdA4GEARWEQ+iAqjCOi\nVeFBGUFgBhUQF5RRdlHBqiAtosM+KDoiFGQV2tIC2n1J06ZJfn9czdTSJmnpQg+f9x++kpuT\ne88xafn23LMoTqdTAAAAoPHTNHQFAAAAUDsIdgAAAJIg2AEAAEiCYAcAACAJgh0AAIAkCHYA\nAACSINgBAABIgmAHAAAgCYIdAACAJAh2AAAAkiDYAQAASIJgBwAAIAmCHQAAgCQIdgAAAJIg\n2AEAAEiCYAcAACAJgh0AAIAkCHYAAACSINgBAABIgmAHAAAgCYIdAACAJAh2AAAAkiDYAQAA\nSIJgBwAAIAmCHQAAgCQIdgAAAJIg2AEAAEiCYAcAACAJgh0AAIAkCHYAAACSINgBAABIgmAH\nAAAgCYIdAACAJAh2AAAAkiDYAQAASIJgBwAAIAmCHQAAgCQIdgAAAJIg2AEAAEiCYAcAACAJ\ngh0AAIAkCHYAAACSINgBAABIgmAHAAAgCYIdAACAJAh2AAAAkiDYAQAASIJgBwAAIAmCHQAA\ngCQIdgAAAJIg2AEAAEiCYAcAACAJgh0AAIAkCHYAAACSINgBAABIgmAHAAAgCYIdAACAJAh2\nAAAAkiDYAQAASIJgBwAAIAmCHQAAgCQIdgAAAJIg2AEAAEiCYAcAACAJgh0AAIAkCHYAAACS\nINgBAABIgmAHAAAgCYIdAACAJAh2AAAAkiDYAQAASIJgBwAAIAmCHQAAgCQIdgAAAJIg2AEA\nAEiCYAcAACAJgh0AAIAkCHYAAACSINgBAABIgmAHAAAgCYIdAACAJAh2AAAAkiDYAQAASIJg\nBwAAIAmCHQAAgCQIdgAAAJIg2AEAAEiCYAcAACAJgh0AAIAkCHYAAACSINgBAABIgmAHAAAg\nCYIdAACAJAh2AAAAkiDYAQAASIJgBwAAIAmCHQAAgCQIdgAAAJIg2AEAAEiCYAcAACAJgh0A\nAIAkCHYAAACSINgBAABIgmAHAAAgCYIdAACAJAh2AAAAkiDYAQAASIJgBwAAIAmCHQAAgCQI\ndgAAAJIg2AEAAEiCYAcAACAJgh0AAIAkCHYAAACSINgBAABIgmAHAAAgCYIdAACAJAh2AAAA\nkiDYAQAASIJgBwAAIAmCHQAAgCQIdgAAAJIg2AEAAEiCYAcAACAJgh0AAIAkCHYAAACSINgB\nAABIgmAHAAAgCYIdAACAJAh2AAAAkiDYAQAASIJgBwAAIAmCHQAAgCQIdgAAAJIg2AEAAEiC\nYAcAACAJgh0AAIAkCHYAAACSINgBAABIgmAHAAAgCYIdAACAJAh2AAAAkiDYAQAASIJgBwAA\nIAmCHQAAgCQIdgAAAJIg2AEAAEiCYAcAACAJgh0AAIAkCHYAAACSINgBAABIgmAHAAAgCYId\nAACAJAh2AAAAkiDYAQAASIJgBwAAIAmCHQAAgCQIdgAAAJIg2AEAAEiCYAcAACAJgh0AAIAk\nCHYAAACSINgBAABIgmAHAAAgCYIdAACAJAh2AAAAkiDYAQAASIJgBwAAIAmCHQAAgCQIdgAA\nAJIg2AEAAEiCYAcAACAJgh0AAIAkCHYAAACSINgBAABIgmAHAAAgCYIdAACAJAh2AAAAkiDY\nAQAASIJgBwAAIAmCHQAAgCQIdgAAAJIg2AEAAEiCYAcAACAJgh0AAIAkCHYAAACSINgBAABI\ngmAHAAAgCYIdAACAJAh2AAAAkiDYAQAASIJgBwAAIAmCHQAAgCQIdgAAAJIg2AEAAEiCYAcA\nACAJgh0AAIAkCHYAAACSINgBAABIgmAHAAAgCYIdAACAJAh2AAAAkiDYAQAASIJgBwAAIAmC\nHQAAgCQIdgAAAJIg2AEAAEiCYAcAACAJgh0AAIAkCHYAAACSINgBAABIgmAHAAAgCYIdAACA\nJAh2AAAAkiDYAQAASIJgBwAAIAmCHQAAgCQIdgAAAJIg2AEAAEiCYAcAACAJgh0AAIAkCHYA\nAACSINgBAABIgmAHAAAgCYIdAACAJAh2AAAAkiDYAQAASIJgBwAAIAmCHQAAgCQIdgAAAJIg\n2AEAAEiCYAcAACAJgh0AAIAkCHYAAACSINgBAABIgmAHAAAgCYIdAACAJAh2AAAAkiDYAQAA\nSIJgBwAAIAmCHQAAgCQIdgAAAJIg2AEAAEiCYAcAACAJgh0AAIAkCHYAAACSINgBAABIgmAH\nAAAgCYIdAACAJAh2AAAAkiDYAQAASIJgBwAAIAmCHQAAgCQIdgAAAJIg2AEAAEiCYAcAACAJ\ngh0AAIAkCHYAAACSINgBAABIgmAHAAAgCYIdAACAJAh2AAAAkiDYAQAASIJgBwAAIAmCHQAA\ngCQIdgAAAJIg2AEAAEiCYAcAACAJgh0AAIAkCHYAAACSINgBAABIgmAHAAAgCYIdAACAJAh2\nAAAAkiDYAQAASIJgBwAAIAmCHQAAgCQIdgAAAJIg2AEAAEiCYAcAACAJgh0AAIAkCHYAAACS\nINgBAABIgmAHAAAgCYIdAACAJAh2AAAAkiDYAQAASIJgBwAAIAmCHQAAgCQIdgAAAJIg2AEA\nAEiCYAcAACAJgh0AAIAkCHYAAACSINgBAABIgmAHAAAgCYIdAACAJAh2AAAAkiDYAQAASIJg\nBwAAIAmCHQAAgCQIdgAAAJIg2AEAAEiCYAcAACAJgh0AAIAkCHYAAACSINgBAABIgmAHAAAg\nCYIdAACAJAh2AAAAkiDYAQAASIJgBwAAIAmCHQAAgCQIdgAAAJIg2AEAAEiCYAcAACAJgh0A\nAIAkCHYAAACSINgBAABIQtfQFai5/Px8m83mfXlFUYKCgmw2W0FBQd3VqgEpiuLv75+Xl9fQ\nFakrgYGBTqdT7gbm5uY2dC3qir+/v1arzcnJaeiK1JWAgID8/Hyn09nQFakTTZo00ev1OTk5\nEjfQYrHY7fa6OPm5ktJLZWUGRelo8PXTNEB/ip+fn6+vb15e3tUN1Ov1/v7+9V8l1J1GHOyc\nTmd1f8UoiqIoiqy/mIQQcrdOo9E4HA6JGyj3xyf9T5+o0S+lRkT9+CRuoBCidlvnFGJddu7y\nzOyU0l/7IHwU5R5/83NhzVr66GvxQt5QFEVU1kC5P9AbE7diAQCoZTan86HU9FkZV1ypTghR\n6nR+nFcw8FzKgSJLA9YNciPYAQBQy+Zd/nlbfmGlL+XZ7ZNSM9JsZfVcJdwg6u9W7PTp09PT\n011PW7duvWzZsgplLBbLqlWrDh06JITo06fPtGnTDAZDvdUQAIBrd6ak9L1sd6OB8+z2hVd+\neSOyeb1VCTeO+gt2FovloYce6tu3768X1lVy6TfeeCM9PX3JkiVarfbll19etWrVzJkz662G\nAABcu615+TZPY9e25RUsbRFmaoi5FJBb/X2liouLw8LCQn/TtGnTCgUKCgr27t07efLk6Ojo\niIiIyZMn/+tf/yoqKqq3GgIAcI1sTmdiFTdh/8sprE7n2ZLSeqkRbizVCHbZ2dnJyck1S1oO\nh8NqtZpMJjdlTp8+LYTo0KGD+rR9+/YOh+PUqVM1uBwAAPUv3WYbci4l2VrioZwihBDFzEhF\nHfDqVuwnn3wyb968H374QQjx73//u3fv3tOnT+/Tp8/EiRO9vIzFYhFC7Ny5c9myZRaLpWPH\njtOmTQsPDy9fJjMz02w26/W/TgLX6/VmszkzM9NVICMjQx1+p+rZs+fV3X4eaTQaWcftqctJ\nyNo6ldwNlLt1Go1G+gYaDAZZF4/QarVCCIkbqNFofHx8Kh0j5L18u2Ps2QunPaa637Q1+xl8\nfK7lil5SP75KG6gugwKZeP4Sf/bZZ6NGjercufPs2bP//ve/qwfz8vImTZpkMBjGjh3rzWVs\nNlt0dLS/v//8+fNLS0vffPPNF154YcWKFeW/ZDabzZXqfq2cTlda+t+e6lOnTi1cuND19PXX\nX4+Ojvbm6uVptVqz2VzddzUicrdOURS5Gyh364TsDfTz82voKtQtuRt4jalOCPH8uWqkui5+\npg7V75u4FpXeNCsrY3KubDx/jxcuXDh27NiNGzdqNBpXsNu4caOfn9/SpUu9DHZBQUGvvfaa\n6+mMGTMeffTRH3/8sWvXrq6Der2+wk4SNpvN19fX9bR9+/bPPvus62l4eHhhoadxDL9nNpvt\ndntxcXG13tVYKIpiNBrVzlEp+fn5OZ1OuRso8aBSk8mk0Wiq+zPbiJhMpuLiYlk7tIxGo1ar\nLSoqkrWBBoOhtLTU4XDU+AylDufbGZe8L/9EWEi9/Tj4+vrq9XqLxXJ1AxVFufZEi+uK54/z\nhx9+eOmllzRXzdx54IEHhg8fXrOrNm/eXAhRYfekZs2aFRYWlpaW+vj4CCGsVmthYWFoaKir\nQIsWLUaPHu16mpeXZ7Vavb+o2tmjjvbzULIgX3fhJyU/T+h0jtBwe3Qrp1br/YUainqfq1r/\nTxoXNdhJ3ECTySRx6wwGg6IocjfQarXKmnt8fHy0Wq3cDSwtLb2W7qsjxdZ8u7e5cHyg/3CT\nsd5+HHQ6nV6vr7SBFW6UQQKeg52iKJX+EZObm+v9T/iVK1e++eabP/7xj+qd/pSUFCFEhTF2\nHTp00Gg0P/74Y7du3YQQycnJOp2uXbt2Xl6iViglJb5fJelPHBXlmuw0NykZMMjWsaubNwIA\nbmQ53qU6jSL+GhL8VGhIXdcHNyzPs2J79Ojx2muvVch2JSUlS5cu7dmzp5eX0Wq1a9asWbVq\n1eXLl8+ePfv666937NgxJiZGCLFgwYK5c+cKIUwm06BBg1avXn3hwoXz58+/9957Q4YMMRqN\n1W9UDSnFxaZN7+qTj4jfN1YpLDBs+9j333vrrSYAgMYlSOvVKhPDmjSJDwvRyD5jwW63P/vs\nsy1atDCZTAMGDDh27NiQIUNuueUW9dVevXoNGzZsy5YtzZs3HzNmjHowISGhT58+fn5+JpOp\nZ8+eGzdudJ2tS5cu/fr1K3/+Ll26DBgwQH0cGxs7ZMiQvXv39urVy2g0hoeHP/nkkzfy2EHP\nPXZz5869++67u3fvrt54Xb9+/caNGz/66KOff/55586dXl4mJCRk3rx569atmzlzptFojI2N\nnTx58tWTcaZOnfr222/Hx8cLIe64447JkydXsznXxJD0meaXK79OQ7+Kz/7d9uYRZa3a1meV\nAACNQidfX3+txuPd2L1FRVNSM/7cNPD/md2t/9XYvfDCCy+99NK0adMeeOCB06dPjx49WqfT\nBQQEqK/6+PhkZ2c/+eSTEyZMiI2NFUJs3rx5/Pjxw4cP37p1q16vf/vttydMmFBcXDxlyhSP\n1/Lx8Tl37twjjzzy1FNPNW/efNOmTUuXLtXpdIsWLarbRl6vFG9up27fvv3pp58+fvy468jN\nN9+8ePHioUOH1mXdPMjLy6sw2cI9RVGCg4NtNlteXiU7vWgvZ5jWveP+DPaw5paJcdWrZT1S\nFCUwMDAnJ6ehK1JXgoODHQ6HxA1s2rRpdnZ2Q9eirgQGBmq12qysrIauSF0JDAzMy8uTdQia\nv7+/j49PVlaWxA20WCzX2M0z7/Ivr2d6+yM8PihgaYswn3pZbcRsNhsMhtzc3ErH2LnyVm1x\nOByhoaEdOnTYv3+/emTTpk3333//bbfdpq5ZNmDAgL1793700UeucfMxMTG+vr7Hjh1zDejv\n0aNHVlaWOnCrS5cugYGBrrOpR0JCQnbv3i2E6N2799dff7179+477rhDfbVPnz4nT57MzMzU\nNobx8bXOq67je+65Jzk5OSMj45tvvjl8+PCVK1d++OGHhk11tU535qTHMtorl5R8d9v/AQBu\nWLOaBcf4ersu3fs5eY+nX67T+jSU8+fPZ2VlDRo0yHVkzJgxFRZbMZlM9957r/o4NTX13Llz\nf/zjH8tP0xw6dGhqaqoa7DwKDAx0pTohxMCBA3Nzc8+dO3dNzWi0vAp2Vqs1KSmpefPmt956\na8+ePUNDQzdu3ChZx4mS49WfWZpsafsbAADXwl+r+bBlZBeDr+eiQgghPszN31Ug4QpHV65c\nEb+fH6nX61u2bFm+THh4uKs7LT09XQgRERFRvoC6esalS16tIFPhveqly29wcEPxPMbu0qVL\ngwcPTklJyc/Pdx2cOnVqWFjY7t27K3xU0tOdO22PailuyN5dAIB7kT76nW1bbszJ+yg3/1tL\nscc7u+9k5Qxq4mHZ5xKn84v8wsPF1jy7PVin6+dn6u9n1F7HO0ao9+srDKOvsGha+U1o1JIl\nJb9b27nSk1R4tVoVuHF47rGLj4/Pzc197733yh/csWOH0+l85pln6qpe9cnh0B87or2Y6k1Z\nn/98Y9q8VpF0iWMAwDXSK8qkpoGftYmO8vG8RNzuIsvFUneDxb8oKLrt9PnJaRmvZ2ZvyMlb\n/kvW2Atpd5xL+dZy/f4zFBwcLIT45ZdfXEfKysrc3FSNjIwUv/XbuZTvxtNoNHa7vfyrFXry\nKjz9+eefhRBhYWE1bUHj5jnYJSUlLVy4sPzKwEKIO+64Y968ef/617/qrGL1RLGVGre+b0j8\nVFPk7Qrg2vQ0Y8JmcQ0LlAMApJf1+yxSKbvT+YdzKWdKSit99cPc/PtTLqZfNU3wlLVk5Pm0\nvYXX6W3ctm3bms3mffv2uY4kJCS42WYjMjKyQ4cOn3zyiSu9OZ3OHTt2tG/fXs18QUFBqamp\nrl66PXv2VBgMlp2dffDgQdfT3bt3h4aGtmrVqvba1Jh4Dna5ublBQUFXH/f396+wdURjZPg8\nQXf+bHXfpb2Yqj9xtC7qAwCQQ5B3g3Yy7fY/p6bbrrq3eKHU9teqZ1eUOJ1xaZfyvMiO9U+v\n1z/wwAM7d+6cPXv2v//97/fee+/FF19s3769m7csXLgwLS1t1KhRu3bt2rlz5+jRo5OTk196\n6SX11TvvvDMjI2PWrFl79ux55513HnvssU6dOpV/e1RU1JQpUzZv3nzw4MEZM2bs37//scce\nu3rHrBuE52Z37dp1/fr1FQ7abLa33nqr/E6vjZHup7O6054nw1ZKf/T72q0MAEAmvf28Xanu\ndEnpB7n5FQ4u/yWrxO1Ismy7fXX2ddq9snTp0ri4uNWrV//hD3/YvHnzRx99ZDab3Qx6GzVq\nVEJCws8//zxixIhRo0b98ssv27ZtGzVqlPrqU0899cgjj2zatOnuu+9es2bNunXrIiMjy693\nFhYWtnLlyr///e933XXXhx9+GB8f/9xzz9V5I69XntexS0hIGD169C233DJo0KCwsDCn05ma\nmrpt27Zz5859/PHHrunK9e/a17EzfPKh/vSPNby8Vlvw12fF9TQ2k3XsGjvWsWvUWMeuUauV\ndewq+NZSfPdPXo3eFkIMauK3qWVk+SNdTp674qk+PUyGpDaepzDW8zp2lWrZsmX79u2939fA\ne7179y4rK/v2229r/cyNlOdZsSNHjtyyZctzzz1XfhHnjh07btmypQFTXa3QXc6o+ZvtdqXM\n5tR7u2QRAOCG0tNknBIctDrLq79Fz/5+mJ3V6fSY6oQQF0qq0btRnxISEk6fPv3UU0+pT8+e\nPXvx4sVx48Y1bK1uEJ6DnRBi1KhRo0aNysjIUGepREZGqgvMNHq/n1xdLU5fX1IdAMCNF8Ob\nFTscG3OqvbK9TgiNEB7n6Pler5vOnj9//umnn75w4cK4ceOysrLmzZtnNBoffvjhhq7XDcGr\nYKdq0aJFixYt6q4q9c/pZ1ZKrDV7r71l69qtDABAMjpFWRYRvi2vIN/TQgo3/X7LCp2ixPj6\nnK5itqxLB683uqhnf/3rX3U63VtvvfXee+/pdLo+ffq8++67bdq0aeh63RA8B7vi4uJ//OMf\nX375ZXZ2tuOqr2ZycnLdVMwznU5XgzkvGo3G1/e3ZcHbxIjsGq5M7ezT/7/nuW4oinId1qoW\nyd1AuVun0Wikb6Cvr6+sQ9DUX7ZyN1Cv19fR1qJ/Cg5a/UuWEEI4haiii21k06AKPx1jmgYt\nvHTF/ZnHhgR78zOltqvSBtbd1NEZM2bMmDGjjk5enrr/LFw8B7vZs2evXLmyRYsWUVFROl01\nevjqmkajqcE3UlGU/7aiR0/xbU2+EM6+/bWt29bgjXXtd62TkfQNlLt1QvYG6nQ6WXOPOp9R\n7gbqdLqrOy9qxVMRzT/Izi2w26tKdR2NhgfCmul+PxtvZovwtVk5F0ur7LTr7meaEBqi82IO\nn+vjq6MG4rri+Zfsli1bHn/88Zdffvl6252jtLS0urNijUaj3W4vKvp1UUddZqaxulfVakt6\n3V7a9w5RdN2tDKkoio+PT9H1V7HaYjAYHA6HxA309fWVuHV6vV5RFLkbWFRUJGvu0Wq1Wq1W\n7gYWFxfX7qxYl6ZCvBkZ/lBqRqXLl4TqdP+MbF5qsVRIcFoh1kW3GHsh7ZeyShara+2j/2dE\neInF4s1QcbPZrNPpKm2gXq83Gqv9LyGuZ557vPLy8kaOHHm9pbpaUa2dwZxmc+mtfYomTSvt\nN+C6WuUEAHCdG9zE/Gnr6G5GQ4Xjd/ubv2jbMqaKoXJdDL5ftG05KqBJ+Z1hfRRlctPAnW1b\nerNlGW5AnnvsevXqdebMmTvuuKMealPPnBX/TPnv8IerB0I4dT4lA/5QPxUDAEimh8nwRduW\nR4uthy3F+Q5HqE73//xMLasOZ/8uKt6eX3C+1KYI8eegwJY+umCdtplWd6uf0Xyj7qkAb3gO\nditXrnzggQduuukm+bJdWYtIodH8tuvr77Lc1T1ymvxc4XAIfpwAADWiCNHNaLi6366CzDL7\n9IuXdl+1Few9/k2WRYSR6uCe52D35JNP2u32AQMGNG3aNDw8vMI92QacFVsLjCZb+876H48J\nIaqcqgQAQH3JKbPf81PqT5XNmdieX5BSWrqtTbQf2Q5V8xzs8vPzg4KC5OuuU5UMGKRLu6AU\nFngs6WgaQncdAKBOPXv550pTnSrZWvLilcyXmofWZ5VqoNYn2Ug50L+OeA52Bw4cqId6NBSn\nuYll7IOmTe8pxRb3JW3tOtZPlQAAN6a0UttHufnuy6zJzp3dLLiprk6W3KsthYWFtXtCs9lM\ntvNSzbug0tPTQ0Ov9z8avOEIDrFMfcxpcDff22luYut5W71VCQBwA/rXVePqrmZzOvcVeeiJ\nwI3Mq8VCT58+/fHHH6ekpLjWNnQ4HN99953VWsP9uK43DoPBMn6S6YN1iqWSHyqnwWi5d6zT\n18NwVwAArkWGzauF9C5WZw1X3Gg8B7s9e/YMHTr06gzXqlWrxYsX102tGoCjWWjRg1MNXyXp\nzpwsf7ysdduSgXc7gpo2VMUAADcIo8aru40mBnyjap6D3dy5c3v06LFq1aqYmBij0Xju3Dmt\nVvvKK69kZ2dPnTq1HqpYb5z+AcUjxyr5edqLqRpLkcNockRGOwICG7peAIAbQldPK6H8Wswg\n7Z7LuHaeU/+xY8fmzp3buXNnX19frVbrcDiio6NfeeUVrVY7b968eqhiPXP6B5R16lras3dZ\n55tJdQCAetPPz9RC76HDJcbXpwebgKFqnnvsHA6Hr++vfxyYTKa8vDz18YMPPjhx4sSFCxd6\neaWcnJzVq1d///33QoguXbrExcWFhIRUKDN9+vT09HTX09atWy9btszL8wMA0Kj5KMr88NCp\naRluyixsHubdDdvGgGX/64DnYNehQ4e33367X79+er2+ZcuWe/bs6dGjhxCipKQkKyvL+yst\nWLBAo9EsWLBAUZTly5cvXbr0pZdeqlDGYrE89NBDffv2/bVyOq/mdgAAIId7A5qkljabf+WX\nq1/yUZQFzUPvNJvqv1a1S3P+rObwISX1vGK1On19nZEtHT1vc9zUoaHrJQnPSXn27Nnvv/9+\nVFSUEOLuu++eM2fOnDlzXnnllccee6xLly5eXiYvL0+j0UybNq1Vq1YtW7YcN27c8ePHr56Q\nUVxcHBYWFvqbpk2ZsgAAuLHMaNY0oXVUL5PR1TGnEeL/mU2fto76c9NGPkDIbtd9tlW34V3N\n6R8Vq1UIoZSUaM6d1m1ep9v6vqiD2b4xMTHx8fHlj8THx7dq1apCscWLFyuKcuTIkVqvgBDi\n1KlTPXr0MJvNVRVITExUFKW2Vhrx3CU2ZsyYTz75ZNu2bUKIZ5999vvvv1+wYIEQIjw8fP36\n9V5eJiAgYMmSJa6nWq1WURTX4ikqh8NhtVpNpkb/twgAANfidj/T9jbRmWX2n0pLFaG09dU3\n1V7XKxJ7SZf4meaH7yp9SXPimE6IstHj67lKQogzZ84sX768jk6+cePGWbNm9e3b9/Tp03V0\niQq8utc5fPjw4cOHCyECAgJ27tyZlpaWm5vbrl0719i76tq+fXv37t0rZDiLxSKE2Llz57Jl\nyywWS8eOHadNmxYeHu4qUFxcnJ2d7XqqTubw/qLqotWKolTrXY2I2kBZW6eS+ONTSdw66b+f\n6pez1ndSuk64Pj6JG6jRaK6372eYVhvm63Pt51E/vkobWJ/bOSip5zXfH3ZTQHPimKZr93q+\nJ+t0OuPi4p544oknn3yyLs5/4sSJvXv3HjhwICkpqS7Of7WaDGKLiopS78zWzMaNG0+dOrV0\n6dIKx202W3R0tL+///z580tLS998880XXnhhxYoVrpF2hw4dmj17tqv866+/3qtXr+peXafT\nBQUF1bjy1z+5W6coitwNlLt1QvYGBgY28ttknsjdQL1e39BVqFv+/v5XHywr82pJ5Fqh+e4b\nz2W+/boGwa6goMDf33/NmjUrV648evRou3btVq5c2a9fP2/eu2rVqrKysoceeqh8sBs5cmRh\nYeGuXbuEENu2bZs/f/7JkycdDkeXLl2ef/75oUOHCiG0Wu177723aNGiyMjIpKSk9PT0GTNm\n7Nq1y2Aw9OvXb/ny5ZGRkUKIF198UVS2O+vhw4enTZt26tSpbt263X///dVtst4eK7MAACAA\nSURBVBtVBrvevXtPnjx52rRpvXv3dvP+Q4cOeX8xp9P57rvvfvnll/Pnzy/fFacKCgp67bXX\nXE9nzJjx6KOP/vjjj127dlWPhIaGDho0yFXA39+/pKTE+6sLIXx9fR0Oh03SNbsVRdHr9aVV\n7x7d2Pn4+Agh5G6g3K1TFKW6P7ONiI+Pj81mk7VDS6/XazQaiT8+vV5vt9srDBCShk6n02q1\npaWlV38/nU5nvc1T1KSleCyjpF2owZnVUL5kyZINGzZERETMnDlzxIgRFy9eVG8Mpqam7t69\n21U4NTXV9Tg9PX3OnDm7d++uqucyKytr9OjRK1eunDBhgsPh2LRp07333puWlhYaGurr67t0\n6dInnniiZ8+eQojx48dHRUWlpqZqNJrp06ePGjXq8OEquyftdvvo0aMHDhy4b9++lJSUsWPH\n1qDVVany4ywrK1O/4rUY51etWnXw4MFFixZ50+HXvHlzIURubq7rSOfOnRctWuR6mpeXV1BQ\n4P3VFUXx9fW12+3VelcjoihKYGCgrK0TQgQHBzscDokb2LRpU4lbFxgYqNVq5W5gQUGBrMHO\n39/fx8ensLBQ4gZaLJb67L6qT2azWavVVtpAvV5vMNTXhpnFnre4VUpLhd0uanRPfOLEid26\ndRNCzJkzZ9OmTQcPHlQ7gxISEnbu3OkqZrFYXDvdP/LII3FxcZ07dy4fNtS3qA+ysrJsNltQ\nUJCaEePi4iZNmqT2Mmg0mv79+0+ZMkUIceTIkf3796enp6u92osWLYqOjj569OjNN99caVUP\nHTp08eLF+Ph4Pz+/Tp06TZo06amnnqpBkytVZbD79ttvKzy4RomJiXv37l2yZElERESlBa5c\nufLNN9/88Y9/VAcBpKSkCCGu7tgDAACNj8lP5OW6L+I0GGqW6oQQ7du3Vx+0bt1aCJGR8ety\ngDNnzizfKxQfH//+++8LITZv3nzixAn1cVXatWu3aNGiBx988Nlnn+3fv/+gQYNGjRrletV1\nR/HMmTNCiArx5vz581UFu4sXLwohXJNzY2JivG6lZ56XOxkzZsyGDRuu8TIWi2X9+vWjRo3S\n6/U//0a967RgwYK5c+cKIbRa7Zo1a1atWnX58uWzZ8++/vrrHTt2rN3WAgCABuGMbl0rZari\nupOu9isbPe3P8dFHH509e9ZkMrlGb8fGxj7wwAMVij399NOXL19evHix2WyePXt2bGxsTk6O\n+pLrEhqNRgiRn59vK2fEiBFVXVod1eDq/67drmLPwW7//v3XvrLLyZMn8/Pz165dO7Wc5OTk\n8mVCQkLmzZt3/vz5mTNn/u1vf4uKinr22Wfrc8IOAACoI45b3Q3ZV9l7ei5TlXPnzqkP1Dt+\n6twFN9atW1fwG7UL7eDBg6tXry5fxmq1pqWlBQQEjBo16tVXXz1x4sSlS5e2b99e4VQ33XST\nEOLEiRO6ctwEGLVv78KFC+rTkydPVqehHngeMvnaa6899dRTt99++/Dhw2s8FbxHjx6ffvpp\npS8999xzrsddu3Ytv9wdAACQg6NFpP2227VfV5wf+t8C3Xs629T8Nt2aNWuGDRsWHR29ZMmS\nqKgoj+tmlB9cqPaZGY1GdR0316zYbdu2TZs2bcOGDf3791cUZc+ePUVFRa57vi4333xzv379\nZs2atWnTppCQkDfffHPt2rXffPONXq9X01tmZqbT6VQfBwUF9enTJygoaOHCha+88srZs2c3\nbtxY41ZfzXOwe/fdd8PCwkaPHm0ymcLDwyuMsqzQ6wYAAFAp+8ChQohKs52jR6+yIcOu5eRx\ncXGTJ0/+4Ycf2rdvv3Xr1lpZlXDMmDFXrlyZPXv2Tz/9pNFoOnTosG7dultvvfXqkps2bZox\nY0anTp2cTmf37t1XrlypztVVB/yp1McvvfRSfHz8p59++uijj0ZFRXXr1u2555578MEHbTZb\nrUxkUTxOcbrtttv0en1V06HLTyGuZ3l5edVauERRlODgYJvNlpeXV3e1akDqrFjXvX/5qLNi\nJW5g06ZNyy/BLRl1Vmy1NphuXAIDA/Py8iSeNOrj45OVlSVxA+WeFWswGHJzcyudFRsQEFDr\nV3Q//12TcVHdK1YUFSl+fvbIaEfP3s6olm7eYjab3dzZtFqtRqNxx44d6gpzNzjPPXZff/11\nPdQDAADcCBwtIh33jmnoWkjL8+SJqqSnp7tWggEAAECD82q96dOnT3/88ccpKSmuucQOh+O7\n776zWq11WTcAAAAPDAaDrIMEasBzsNuzZ8/QoUOvznCtWrVavHhx3dQKAAAA1eb5VuzcuXN7\n9OiRnJxstVoVRfnpp59SUlIef/zx/v37T506tR6qCAAAAG94DnbHjh2bO3du586dfX19tVqt\nw+GIjo5+5ZVXtFrtvHnz6qGKAAAA8IbnYOdwONT1+oQQJpPJtVbIgw8+uG7dujqsGgAAAKrD\n8xi7Dh06vP322/369dPr9S1bttyzZ0+PHj2EECUlJRIvSQUAAGqmSZMmDV2FG5fnYDd79uyx\nY8d+9dVXly9fvvvuu+fMmZOVlRUcHLxy5couXbrUQxUBAEAjYrfba/eEtbKNxA3Cc7AbM2bM\nJ598sm3bNiHEs88++/333y9YsEAIER4evn79+jqvYNUURXGzDnWl5Ss8kIzaLllb5yJ3A+Vu\nnZC6gdX9jdQYSdzAG/b3Zx012WKx1O4J3e88gfI8byl2tbS0tNzc3Hbt2rnG3jUIm82m0VRv\ngWWtVut0Ol2r8clHq9XW+t9J1w/1Lza5Gyhx6zQajaIocjdQ4t8tN8LH53Q6ZV0LTf34HA7H\n1Q10OBzqlqa1y/2WYjVAsPOe52DXv3//CRMm/OlPf2ratGn91MlL7BVbAXvFNnbsFduosVds\no8ZesbWLYNeAPPd4/fTTTw8//HB4ePi99977wQcfFBcX10O1AAAAUF2eg11aWtqBAwcee+yx\nI0eOjBs3LiwsbNKkSTt37pS4Tx4AAKAx8hzsFEXp27fvyy+/nJKS8vXXXz/88MP79+8fMmRI\nRETE448/Xg9VBAAAgDeqN/mgV69eS5YsOXfu3Oeff960adNly5bVUbUAAICsnMKZW3z+Uv53\nOZZzTqe0s44ahOflTsr74Ycftm7dmpCQcPToUZPJNHbs2DqqFgAAkE+Z3fpt2uvfX3y7wJqu\nHvHzDese8VCvVn/Ra0wNWzc5eO6xczqdBw8efPLJJ9u2bdu9e/dFixa1bNly48aNP//88+bN\nm+uhigAAQALFtqxN3/1x79nnXalOCFFUcuXATy9tODyosORSrV8xJiYmPj6+/JH4+PhWrVpV\nKLZ48WJFUY4cOVLheK9evcaMGVP+yGeffaYoypYtW8ofnDBhwi233DJmzBilMuPHj6+19njB\nc7Br0aLF7bff/uqrr7Zp0+add965cuXKp59+et999/n5+dVD/QAAgAScTscnRydeyv+20ld/\nLkje+sN9DmcDrDhz5syZ5cuXV/rSsGHDvvjii/JrqyUmJvr5+SUmJrqOOByOnTt3Dhs27LXX\nXjtz5syZM2c+/fRTIcSHH36oPq3ncWueg13btm1XrFiRkZHxxRdfTJkyJTAwsB6qBQAAZHLy\nysepOfvcFLic/5+j6WvrrT4qp9MZFxf3xBNPVPrq8OHD8/PzDxw44DqSlJQ0adKkpKQk15HD\nhw9nZmYOHz48PDw8JiYmJiYmKipKCBEZGak+DQsLq+tWlOc52O3fv/+xxx4LDQ2th9oAAAAp\nHb+8yWOZ5Esba3DmgoICRVHWrl172223GY3Gbt267d+/38v3rlq1qqys7KGHHip/cOTIkYMG\nDRJCxMbGRkREfP755+rxs2fPnj9/ftasWRkZGcePH1cP7tixIzw8/JZbbqlBzetC9WbFAgAA\n1MCVgh88lvm58KhTVHt3E3VXtCVLlqxatSotLa1z584jRoxw7Vebmpq6u5zU1FTXG9PT0+fM\nmfPWW2+52dbinnvu2bFjh/o4MTExNja2TZs2PXv2dN2NTUxMvOeee66fjTEIdgAAoM7Zyoo8\nlrHbSxyOamwWWt7EiRO7desWEhIyZ86cnJycgwcPqscTEhLGlJOQkOB6yyOPPBIXF9e5c+cK\np0pISNi1a5f6ePjw4cnJyWlpaUKIpKSkwYMHCyEGDx6s3o3Nyso6fPjw8OHDa1bnukCwAwAA\nda6JIcJjGZNvqFbjU7Pzt2/fXn3QunVrIURGRob6dObMmZnlzJw5Uz2+efPmEydOzJ071/1p\nBw4caDQaP//8c5vNtnv3blew27t3r8ViSUpK0uv16n3b60T11rG7FhaLZdWqVYcOHRJC9OnT\nZ9q0aQaDoQZlAABAo9Oq6V2ZRafc37Bs3XRgjc/vcPy60LHT6RRCGI1G9+U/+uijs2fPmkz/\nXTwvNjZ2woQJ69evL1/MaDTeddddu3bt6tixo9Pp7Nu3rxCid+/evr6++/fvT0pKuvPOO6+r\ndUKq12NnsVj27Nnz0Ucf7du3z2q1Vuu9b7zxRmpq6pIlS5YuXZqamrpq1aqalQEAAI3OrS0f\n1Wt83RTQavS9Wv6lxuc/d+6c+iAlJUUIERkZ6b78unXrCn5z8eJFIcTBgwdXr159dcnhw4fv\n27dvz549d955p4+PjxBCp9Pdeeede/bs2bNnz3V1H1ZUK9h9+eWX0dHRAwYMmDRpUv/+/du0\naaN2rXmjoKBg7969kydPjo6OjoiImDx58r/+9a+ioqLqlgEAAI2RvyF6UPt/uCnQP+aFEHPH\nGp9/zZo1J0+etFgsS5YsiYqK6tWrl/vyBoPB/Bu1y81oNPr6+opys2JVw4YNu3Llypo1a9T7\nsKrBgwd/8MEHKSkpw4YNq3Gd60I1gt1f/vKX559/vri4uKioqKio6K9//esjjzzi5XtPnz4t\nhOjQoYP6tH379g6H49SpU9UtAwAAGqmbIyYN77LaoKu4IK6P1jyk47Jbox+7lpPHxcVNnjw5\nJCTkyJEjW7du1Wq113K28iIiImJjY8+dO1c+2A0ZMuTs2bNdu3aNjo6urQvVCkW9FV2pN954\nY/r06a6nTZo0yczMVMOsEMJqtYaGhubn53tzmaSkpLVr127YsMF1ZMKECZMmTSr//8hjmUOH\nDr300kuuV1944YWuXbt6c3UXrVbrdDpdt+Hlo9Vq7XZ7Q9eirqg/pXI3UOLWaTQaRVHkbqDE\nv1tuhI/P6XS6+QexUVM/PofDcXUDHQ6HulZI7SooKHDzqtWWc/zy5rSc/ZbSTKO+aWRgn87N\nx5t8mrl5i9lsdrOeiNVqNRqNO3bsGDp0aM0rLQt3kydefPHFjz/+ePXq1eoayp06dZo9e/a0\nadOCg4OzsrLeeuutLl26eHkZm81W4auj0+lKS0urVaasrKz8d8Vut2s01Z7VqyhKDd7ViMjd\nOiF7AyVunfpLWe4Gyt06IfvH5/qvfFytu7qBDfLXiEEfdEvUw7dEPVz/l74RuAt2ycnJM2bM\n6Nq166uvvvrnP//5zTffnDBhwooVK9RXu3btWr53zT29Xl9+qzUhhM1mc3X+eVmmX79+X331\nletpXl5eVlaWlxUQQiiKEhwcbLPZ8vLyvH9XI6IoSmBgYE5OTkNXpK4EBwc7HA6JG9i0adPs\n7OyGrkVdCQwM1Gq11fqZbVwCAwPz8vJk7fLx9/f38fHJzs6WuIEWi6WsrAE2Kq0HZrPZYDDk\n5eVd3UC9Xh8QENAgtUIdcRfsgoKC1q9f//HHHz/88MNbtmx5++23jx8/np6e/ssvvzRr1iwi\nIsL7P26aNWtWWFhYWlqqTiexWq2FhYUVtinzpgwAAEB5BoNB1j85asBzv/qoUaOOHz9uMBg6\nd+68efPmyMjI2NjYyMjIanVZd+jQQaPR/Pjjj+rT5ORknU7Xrl276pYBAABAVbwaMBESEvLh\nhx+uXLnyscce+9Of/pSZmVndy5hMpkGDBq1evfrChQvnz59/7733hgwZoi4euGDBAnXdZzdl\nAAAA4JGHYOd0OtPT048cOXLp0qXx48cnJyeXlpZ27ty5/FZrXpo6dWq7du3i4+OfeeaZzp07\nT548uWZlAAAAUCl3y50cO3ZswoQJx44dU5/eeuutGzZsuOmmm9asWfOXv/xl+PDhy5cvDwoK\nqq+qVpSXl1dhsoV7TJ5o7Jg80agxeaJRUydPZGVlSdxA6SdP5Obm1tvkieruTeWRr6+vrHOW\na527Hru4uLghQ4YcP348IyPjyJEj3bp1mzJlihBi0qRJycnJv/zyi/fLnQAAgBuEobaR6rzn\nblbsiRMn9u/fr9PphBDNmzf/xz/+4dp5LTIyMjExkb1cAQBABRXWqb126nIZ8Ia7YNeyZcu3\n3npr6tSpvr6+Fovl9ddfj4mJKV/gf//3f+u4egAAoJEpKSmp3RPq9Xo67bzkLtgtXbp03Lhx\nM2bMMJlMRUVFYWFhW7durbeaAQAAoFrcBbvBgwenpaUdPnw4KysrLCzs1ltvNRgM9VYzAAAA\nVIu7YCeEMJvNd955p+tpQUGBa7Hiutg2GAAAADXmblZsfHz80aNHXU9feOGFZs2a9enTJzY2\nNjw8/N1336376gEAAMBb7nrsFi9e3L1795tvvlkI8eabbz7//PO9evUaM2aM1WrdvHnzQw89\nFBoaes8999RXVQEAAOCOh1uxLitWrOjXr9+ePXs0Go0QIj4+vl+/fkuWLCHYAQCAarlssx0s\nKMq22wO12t5mUySrmdQeb4Pd2bNnX3/9dTXVCSH0ev2UKVNmzZpVZxUDAACySS+1PXMx49Oc\nPMdvRxQhhgT4L4lq0cqXeFcLPOwV6xISElJhtkSTJk1k3VsGAADUupPF1gEnzyaUS3VCCKcQ\niXn5d5w8872luNavGBMTEx8fX/5IfHx8q1at1MeXLl0aN25cSEhIaGjo+PHjL126VOsVEEKc\nOnWqR48eZrO5qgKJiYmKotTWPmze9tgNHTr0q6++mjhxouvI9u3b27ZtWyuVqBmj0ejn51fd\nd+l0usDAwLqoz/VAo9FI3DpFUeRuoNyt02q16nbGDV2RuqLVautiz83rhFarFULI3UCJeyvU\nu22VNtDhcFT2jjphdTjGn7twpYpN3nPK7Pedu3C4U/smWm+7nK7duHHjmjRpcurUKbvdfv/9\n99933327d++u3Uts3Lhx1qxZffv2PX36dO2euSoegt306dPnzZsXFBRUWlp65MiRuXPntm3b\ntri4ePr06Rs2bHj11Vfrp5aVKikpqdaGzeo/Kna7vaCgoO5q1YAURfH395e1dUKIwMBAp9Mp\ncQMDAgIkbp2/v79Go5G7gYWFhbImA7PZrNfr5W5gcXGx3W5v6IrUCZPJ5OvrW1RUdHUDtVpt\nve3W9V5mzk8lVW815hQZpbaVV36JbxFWP/XJzs7et2/frl27goODhRAzZswYOXJkfn6+v79/\nLV7lxIkTe/fuPXDgQFJSUi2e1g13wW7WrFk5v7FarVFRUWo/oaIo69ati4uLe+yxx+qnlpVy\nOBzV+iFUdyNxOp2y/ugqiiJx61TSN1Di1qmBQO4G2u12WXOP6+OTuIHV/TelEVE/tUob6Bo6\nXw8+zsl197IihBAf5+bVINgVFBT4+/uvWbNm5cqVR48ebdeu3cqVK/v16+f+XeptBFcPkd1u\n12g0auf0yJEjCwsLd+3aJYTYtm3b/PnzT5486XA4unTp8vzzzw8dOlR9+3vvvbdo0aLIyMik\npKT09PQZM2bs2rXLYDD069dv+fLlkZGRQogXX3xRCHHgwIEKVz98+PC0adNOnTrVrVu3+++/\nv7pNdsNdsPvHP/5R6XGDwZCamhoREVGL9QAAABI75cUYsrPWEodTaKq5K6w6B2DJkiUbNmyI\niIiYOXPmiBEjLl68aDKZhBCpqanlb7CmpqaqDwICAsaNG7dkyZJu3bo5nc4VK1aMHz++whCv\nrKys0aNHr1y5csKECQ6HY9OmTffee29aWlpoaKivr+/SpUufeOKJnj17CiHGjx8fFRWVmpqq\n0WimT58+atSow4cPV1Vhu90+evTogQMH7tu3LyUlZezYsdVrsFvejrGrgFQHAAC8Z/eit9ch\nhEM4NaKayU4IIcTEiRO7desmhJgzZ86mTZsOHjw4aNAgIURCQsLOnTtdxSwWS2hoqPr45Zdf\nHjRoUPPmzYUQXbp02bBhg3o8ISFBfZCVlWWz2YKCgtSMGBcXN2nSJPXmtUaj6d+//5QpU4QQ\nR44c2b9/f3p6ujqMeNGiRdHR0UePHlVXAr7aoUOHLl68GB8f7+fn16lTp0mTJj311FM1aHKl\n6q8PFgAA3LBae7GaSbSPXqfUJNUJIdq3b//rhVq3FkJkZGSoT2fOnJlZzsyZM9XjJSUlAwcO\nvP3229UhZ/379x8wYECFqant2rVbtGjRgw8+2K5du6lTp77//vvlRyN07dpVfXDmzBkhRERE\nhKIoiqJER0cLIc6fP19VVS9evCiEcE3OjYmJqVmTK0WwAwAAde6eQM+TEoYF1nzmtWuGr5q9\njEaj+/K7du368ccf//73vwcGBgYGBi5atOjMmTPquLrynn766cuXLy9evNhsNs+ePTs2NjYn\nJ0d9yXUJdahifn6+rZwRI0ZUdemSkhJXPYUQ1ZoJ6hHBDgAA1LmHQ0NCdO4GgPlrNTPDQmp8\n/nPnzqkPUlJShBDq3AWPXHFQTVcVZpNYrda0tLSAgIBRo0a9+uqrJ06cuHTp0vbt2yuc5Kab\nbhJCnDhxQleOUnXXozqe7cKFC+rTkydPelNVLxHsAABAnQvQate2iTZWMTPCoNGsbt0y7Pdb\nIVTLmjVrTp48abFYlixZEhUV1atXL/fl+/bt26xZs2eeeSY3Nzc/P////u//QkND+/btK4QY\nOXKkOj5v27Zt3bt3T0xMtFgsxcXFe/bsKSoqct3zdbn55pv79es3a9astLS04uLiV155JTY2\n1mazCSEuXLhw4cKFzMxMp9OpPs7Ly+vTp09QUNDChQszMzMPHTq0cePGGrf6agQ7AABQH/o1\nMe9sH9PdVPEmaSejYVu7NkMCmlzLyePi4iZPnhwSEnLkyJGtW7eqC5e4ERQUlJiY+NNPP7Vp\n06ZVq1YnT57csWNHhUXUx4wZM3/+/NmzZzdr1iw0NPSFF15Yt27drbfeevXZNm3a1KxZs06d\nOjVr1mzLli0rV65U5+q2bt26devWs2fPtlgs6uM33njDZDJ9+umnR48ejYqKevzxx5977jkh\nhK2KpZurS/G4KNH69euFEA888ICXx+tNXl5etf4vKIoSHBxss9ny8vLqrlYNSF2B2XXvXz7B\nwcEOh0PiBjZt2jQ7O7uha1FXAgMDtVptVlZWQ1ekrgQGBubl5cm6zJu/v7+Pj09WVpbEDbRY\nLLU71On6YTabDQZDbm7u1Q3U6/V1saGI+6XInUJ8XVi0v6Dol7KyYJ22t9mvn9nsfokTs9ns\n5s6m1Wo1Go07duxQV5i7wXle7uTBBx8UlQW4qo4DAABURRGit9mvt7nam4LCG56D3bp166p1\nHAAAAA3Cc7Crqk+OvjoAANDgDAaDrIMEaqCGO08IIaxWa25ubnh4uJflc3JyVq9e/f333wsh\nunTpEhcXFxJScVbz9OnT09PTXU9bt269bNmyGtcQAADghuIh2C1fvvyf//xnQUHB0KFD58+f\nHxwc7HopISHhvvvu8z4jL1iwQKPRLFiwQFGU5cuXL1269KWXXqpQxmKxPPTQQ+pkYyGEzu2C\nNwAAACjP3XIna9eu/ctf/pKdnR0REfHPf/7z1ltvdS2mV115eXkajWbatGmtWrVq2bLluHHj\njh8/br1qP+Di4uKwsLDQ3zRt2rRmlwMAALgBuesSW7FixR/+8Ift27fr9frU1NR777136NCh\nhw4dqrDKizcCAgKWLFnieqrVahVFcS33rHI4HFarVd1nFwAANFIGg6F2T+hmrRNU4C7YnTlz\n5rXXXlNX2IuOjv7qq6969ep1//33b9u2rcKeG9W1ffv27t27V8hwFotFCLFz585ly5ZZLJaO\nHTtOmzat/Bi+06dPf/TRR66nf/rTn6Kioqp7aa1Wazabr6Hu1zWNRiNx64TsDVQUReLWqX/O\nSdxAjUbj5yft8g3qwBiz2SzrEHWdTmcymSp0N0hD/XfcaDTW28env4YNJHCN3AU7jUZTfjHD\noKCgTz755LbbbnvuueeuHh7nvY0bN546dWrp0qUVjttstujoaH9///nz55eWlr755psvvPDC\nihUrXCPt0tPTt27d6io/aNAgdXe2atFoNLX+l8R1Re7WCdkbKHfrhOwNlLt1QghfX9+GrkId\n8vHxqfVz2ktE7mlRmCEcpcKniQiIEWav9i+tE5V+fHW0JrPVaq3dEGk0VtysAlVxt/PEXXfd\nZbVav/rqq/K/rbZs2TJ27NgFCxa0atXKzeSJAwcOLF68WH389NNP33777UIIp9P57rvvfvnl\nl/Pnz2/btq37mqWlpT366KMLFizo2rWreqSgoODixYuuAsHBwdX9OQwMDCwrKyssLKzWuxoL\nRVGaNGmSn5/f0BWpKwEBAU6nU+IG+vv7S9y6Jk2aaDQaWfd9EUI0adKksLBQ1g4tPz8/vV4v\n8dYafn5+VqvVbrfX4jnzjvv8vMdoL/7dPURTZFnzoRZ9QL12DZpMJh8fn4KCgqsbqNVqmzS5\npo28KuV+54kacL/zBMpz12P37LPPDh48uFOnTmvXru3Xr5968H/+53/WrFnz5z//uXnz5m7e\nGxsbu2LFCvVxs2bN1AerVq06ePDgokWLvLmFqp4/NzfXdaRJkyYdO3Z0Pa3BlmJCCKfTKeum\nMYqiSNw6lfQNlLh1aiCQu4FlZWWy5h7XxydxA+12ey1+P3MOm7IOVjJk3HJRd369OWpsnj6o\nNkOke+ot5kobSFqSj7uhcoMGDUpISPD39y8qKip//IEHHti7d6/73eVMqr7qzQAAIABJREFU\nJlPL36hj6RITE/fu3btw4cKqUt2VK1c+++wz198TKSkpQgjv18kDAOB6UJyurzTVqRxWzaXP\nmzjlHM6HhudhobgRI0aMGDHi6uN9+/Y9cuRIZmaml5exWCzr168fNWqUXq//+eef1YOBgYE+\nPj4LFiywWq1/+9vftFrtmjVrLl68OGrUqMLCwjfeeKNjx44xMTHVag8AAA0r+2sPyzuUZuqK\nzvmabyqpn/rghuLVCsBFRUXlZ3tduXKlWbNmOp3O++60kydP5ufnr127du3ata6Dzz//fI8e\nPVxPQ0JC5s2bt27dupkzZxqNxtjY2MmTJ9NLDABoRBylijXd85zQop98CHaoCx6CXXp6elxc\nnNls/uCDD1wHJ06cmJ+f/8EHH3i/2kiPHj0+/fTTSl967rnnXI+7du1afrk7AAAal7ICrTe3\nWW1517RqGFAVd1+svLy8wYMHJyUlVZgyo+4bMWzYsApj7wAAuNEpXs0vUW7gXOe0i8KfdFf2\n+GYkGi7v9i04o3NIO6uqAbj7Zr355psnTpzYuHHj6tWryx9/6KGHtm3bdvz48XfeeaeOqwcA\nQGOiD3Aoes/Zzie4/mbFXlcsF7Vn3/VL+ciY+bVPzlF91jc+qR8bz77jV3ShTnaHj4mJiY+P\nL38kPj6+VatW6uNLly6NGzcuJCQkNDR0/Pjxly5dqvD2Xr16jRkzpvyRzz77TFGULVu2lD84\nYcKEW265ZcyYMUplxo8fX/sNq5q7YPf+++8PGzZs3LhxV7/Uv3//0aNHb9iwoc4qBgBA46No\nneY2pR6LNWl/Iw6wK/xJl/KBqTS7Yvaw5WtStxrzTtZJtnNj3LhxhYWFp06dSk5OzszMvO++\n+yoUGDZs2BdffFF+bbXExEQ/P7/ExETXEYfDsXPnzmHDhr322mtnzpw5c+aMOvbsww8/VJ8u\nW7asfpqjchfszp8/f+edd1b1at++fc+ePVsHVQIAoBFr2seicdtpZ25bamhRjXVY5VBmUS5+\nZqjqrqujTKR/brDl19+Myezs7H379j3xxBPBwcGhoaEzZszYs2dPhVXihw8fnp+ff+DAAdeR\npKSkSZMmJSUluY4cPnw4MzNz+PDh4eHhMTExMTEx6gyEyMhI9WlYWFi9NUq4D3YlJSUVtnMt\nT6/XV2t9YAAA5ON0CFu+pjRb6yz7NZToA+xhdxcouquynVMIIQxhZaF/qOWNGRqF7P/42Evc\n5TZnmZL5dU02disoKFAUZe3atbfddpvRaOzWrdv+/fs9vkvdwNq1aLPdbtdoNFqtVggxcuTI\nQYMGCSFiY2MjIiI+//xztczZs2fPnz8/a9asjIyM48ePqwd37NgRHh5+yy231KDmdcFdt2dE\nRMSxY8eqevW7776LjGy4Te8AAGhQZQWa7K9NRWd91byiaIUx0ta0l8XQwubXujRqXN4ve/yK\nL/536RPFxxnU3RrUy1JJ5rsBFJ7zfKe14Jyu+R+qfZNar9cLIZYsWbJhw4aIiIiZM2eOGDHi\n4sWLaudUamrq7t27XYVTU1PVBwEBAePGjVuyZEm3bt2cTueKFSvGjx9ffnE31T333LNjxw51\nyY7ExMTY2Ng2bdr07NkzMTGxc+fO6sF77rnn+lmdzd3/5bvuumvjxo3/93//d3Uv4tmzZzdt\n2vTII4/UZd0AALhOFV/UX97ub7f+959zp11YUvSWlIDgPpagXhafkLKI/8mz5WtKftY5SzVa\ns93YouzGjHSqklzP0cdWoHHahaKtyfknTpzYrVs3IcScOXM2bdp08OBBtdctISFh586drmIW\niyU0NFR9/PLLLw8aNEjdwrRLly6umQMJCQmu8sOHD1+1alVaWlpUVFRSUtLgwYOFEOqaIbNm\nzcrKyjp8+PAzzzxTkxrXDXe3Yh9//HGLxTJ48ODk5OTyx/ft2zdo0CCdTkewAwDcgEpztJc+\n+12qKy/r36b84wb1sd7fYY4pbdLJaoq23cipTgih8SKuKZqaLwTTvn179UHr1q2FEBkZGerT\nmTNnZpYzc+ZM9XhJScnAgQNvv/32nJycnJyc/v37DxgwwGq1VjjtwIEDjUbj559/brPZdu/e\n7Qp2e/futVgsSUlJer1eTZDXCXc9dp06dXr77benTJly8803x8bG3nTTTU6nMzk5+cSJEyaT\naf369W3btq23igIAcJ3I2u/nKHXX//TLv8w5/zEqQuia2P3alvp3KlG0N3SqE0L4hjjKUj2E\nO0OIQ9T0lqbD8evC0E6nUwhhNBrdl9+1a9ePP/7473//OyAgQAixaNGi119/fdeuXcOGDStf\nzGg03nXXXbt27erYsaPT6ezbt68Qonfv3r6+vvv3709KSrrzzjuvvoHbgDzc8J44cWLnzp0X\nL178xRdf/Oc//1EUJTQ0NC4ubtasWa5oDADAjcNerCk672GMv9MubP+/vTuPk6I8ED/8ds99\nwXDDIOANLiiooHjBYlAwKkaNiqLZEDV4JWo00TWbVbMhIsafriZGJYcoihcYNa4mkRi8r6gg\nrBceA4io3MM0c/fvj97Mzo44HALDvDzPH36mq6tq3p6asb9UdVWtyAoh1KzISpXnrny1oPvX\nK0JDonpZVqhPZJfUF/SqTebuWKnXrl9t5YbCrl2/zT8p8/333898UV5eHkLYyNMAGnMwcxZF\nMrmeHYbHHnvslVdeuc8++4wYMSI3NzeEkJ2dPWLEiNmzZ8+ePftHP/rRZo95a9jwJxn333//\nzP3EKisrc3JyMi+JbWxF6r0Fyx9dmVqQDg3t8nrv1unr3UoGNZunsmbp2pVvr6tsKC3YJTuZ\n3yrjBIhe9WfZYROTrG5N1sf3laabLJXITnfYt6rDgakdZ09eh71rV76eW/X5lx5qzS1t6LT/\n5ofd1KlTjznmmN69e0+ePLlXr14HHHBAy/MffPDBXbp0+dd//ddJkyYlk8l///d/79q1a2aH\n3De+8Y21a9c++eSTmTmPOeaYc845Z+rUqRdeeGHj4kceeeQNN9xQXl7ebA9fq9uoiwHW1tbm\n5ORsV3saQwg5OTnZ2Zt8McNkMrnB3bPbldr6dU++88M5i+9oOvGVRTfs2fWYo/rfUpDTMYTw\n30sfeOGDX3y+9n9Ovc5O5O3c+fAj+l3fvqD3th/wVpVIJNrW5tskcb+6ZDIZ/QssKChIp+N8\nk85cAyLuF5iXl5c5uXKDajburbOZZj+5dF1ixSsF1Utzdz65KrlR33bzZd4r1/sCt+W5nIms\n0PuEdR9OL6hds562yy5O9z5h3Vf5GOLZZ589fvz4OXPm9O3bd+bMmZlf2hZ06NDhiSeeuPzy\ny3fdddcQwv777//444+XlpZ+cc6ePXvuu+++r7/+euYDdhmjRo06//zz99577969t6+32kTL\nf6W/+93vrr766oULF3bs2PGss86aOHHiZrTUVpJKpRr3oG6k4uLi+vr6devWbaUhbXH1DTVT\nXxr++dp56322U9Gepw3589/e/fGbS9ZzC5BEImv47lcduPNFW3mM205RUVE6nU6lUq09kK2l\nqKgo4vsvFxYWJpPJtWvXtvZAtpbCwsJ169bF2j0FBQVZWVmVlZURv8Dq6uqNfE9JLc764O4t\n9k+UDgNre47eunehyCTdet80E4nE1thrU1HxpRfqq1+X+HR23qr5Oel/3FMtkQzt+tV2/+fq\n7OIv/e0qLi5uoUGrqqoKCgoef/zx0aNHf4VRR6KlSnvyySfPPPPMHj16HHfccR9++OHkyZNT\nqdTNN9+8zQbXstra2k26QnIikSguLm5oaPjiOS/bp1TNZ/e9MXpN9aIvm2F55bv3vDx6eert\n9T6bTtf/7b2fpKpXHtRnOzoN+6vIhF1b2XybobCwMOJXl5+fn0gk4n6BVVVVsXZPbm5uVlZW\n3C+wpqam8Vq1LUt0CMm8/IYWr7W78VbNy2k3cG1Oh61469js7OycnJz1vsCN3Em5BWUVpMtG\nV3U/vDq1JKu+MpFVkC4oq8/Kj/P3qlW0FHaTJ0/u27fvSy+9lDlh5MILL7zllluuvPLKzp07\nb6vh7bjW1a64b87Ra6oXpUNLZwh9WdU1ennh/ytrN7RPhy+9NRwA67VucU7FW3nVn2en6xLZ\nJQ2FfWra9a9K5qUTWaH9wHUrX/7SOzNtknR9WLsgt8OQNnMoaYtI5qaLd96ojGZTtXS5mHnz\n5n3729/OVF0I4Qc/+EFdXd0bb7yxTQa2o3v6gx+vqfootFh1G+mZD6/8yusA2IE01CY+eazk\n4xnt1/x3fvXn2TUrs1ILc5Y9U/TRHR1SC3NDCB0PWJfffYt1Se2q7eUzTm1Ufn5+Op12HDaj\npbBbunRp5ka2GZkzh1evXr3VB7XDq6j++J3PZ26ptS2vfGtF6r0ttTaAuKXrwyePtKtckPfF\npxqqkp88UrJucU4iK91l+Not8C/vzHd0HJItp6WwS6fTTU8qyXwd6wcstiuLVs1OpzftvJCW\nvfPZjC24NoCIrZ5T0PQGr82k6xOf/rkkXZeoWJC3qRc9+TK5pVvxA3bsaDb3zh1sTRXVS7bs\nCud/eveWLUWAOKXDqtc3cMZrXUWy4r3cqiWbfmWOL1mgaLeaTV0TfJkNHNf/9NNPFyxY0HTK\n0qVLm07Zfffdt8q4dmw5WVv45PPKmqWfrn2je8l+W3a1AJGpWZVVt3bDuzyqFuU2VCc3+Ujs\n+hYo3rM6t5PTCNhiNhB2F1100UUX/Z8LoX3ve99r+tCR2a2ha9HeW3ydyyrnCTuAltWnNupA\nVl1lMqugIYQN39Y+mZvOLm6oWbH+OXM713U9PMKLO+bnb+G7H23LCym3dS2F3WWXXbbNxkFT\nZe2Htsvvs6aqfAuus7Z+xzqXHmAzbOT9W5N5DTkd6td9vIGLwOV1qet16qqQCGvm5S97rrCh\n6n+rMZEMJf9U1fmwyijvGLvtL49Ho5bCbtKkSdtsHDSVTGQP323io/NP34LrbJffa8MzAezY\ncjvWJ3PTDTUb2D+U372ueI/qVX8vSNe3NGfpvusyh1/bDagq6VddWZ5Tsyw7XR9y2jUU9qnJ\nLvHRZ7Y8J09sp3btOGrEbtduqbVlJfN2an/ollobQKwSWemSfhu4wVciO13Stzq7pKHTYS3d\nA7Bo15qmq0pkp4t3q+l4YKrTwal2A6pUHVuJsNt+7VP2nVMGPdGnw4hk4n8+nJFMZDd+vUkG\nlZ2Vl91ui44OIE4dh6ayi1uqrk4Hp7KKGkIIpQOrugyvbPZ/5cyB1eI9q7uPrthSF7qDjedq\n19u17iX7f2PA/dV1q1dXfRRCon3+zn9ffPMri27c1JUM7XP51hkgQGyyChrKvrF6ycPt6irW\n8w/pDkNSpfv+70eW2w9aV7hLzarX89ctzq2vTCZz03ndatsNqCrsvQm3MoctSNi1AXnZ7bsW\nD8x8fUDvSxatenppxWsbXCpzk9l+XU86fPfrspNb+AQlgIjldqrvPW7Vyr8XrH07v7YiGUJI\nZIWCnWo6DFlX0LN5seW0r+/yz5UhtHRYFrYZYdfGZCfzvzHggb+8e8H7yx9v9lTHwj3+ud9P\nFn7+6srUgkRIdizcc48uYzoX9W+VcQK0acm8dKeDU50OTjVUJetrQ3ZhOpEV4emrxEfYtT15\n2e2O+ac7P179/NufzVieejudrivJ22mXjqP6dj2hU8cuvYqOau0BAsQjmd/gmAdtSGLHucJw\nfX39Lbfc0rNnzxNOOKG1x8LmmDJlSn5+/hlnnNHaA2FzTJ8+fdWqVeeee25rD4TN8cgjj5SX\nl5999tlb/MKzbAN//etf58+ff9ppp3Xq1Km1x8JWtwOdFVtfXz916tQ//elPrT0QNtO99977\n0EMPtfYo2EyPPvrotGnTWnsUbKZZs2ZNnTq1psYtTdukF154YerUqStXrmztgbAt7EBhBwAQ\nN2EHABAJYQcAEIkd6OSJdDpdUVGRnZ1dWFjY2mNhc1RUVCQSieLi4tYeCJujsrKyoaGhpKSk\ntQfC5kilUnV1dSUlJYmEeym0PVVVVTU1NcXFxcmkvTnx24HCDgAgbuIdACASwg4AIBLx33li\n5cqVv/3tb19//fUQwoABA84+++zOnTuHEFKp1O233/7iiy+GEA466KAJEya48Ob26eOPP77u\nuuuWLFly//33N060+doQG6st8nfXdnnX28HFv8du4sSJn3322cSJE3/+858vW7bs+uuvz0z/\n9a9/vXDhwsmTJ19//fULFy68/fbbW3ecrNfs2bOvuOKKbt26NZtu87UhNlab4++uTfOut4OL\nPOxWr16dTCYnTJiw88479+nT55RTTpk/f35VVVVFRcXTTz89fvz43r179+zZc/z48U899VRl\nZWVrj5fmFi1adM011xxwwAFNJ9p8bYiN1Rb5u2u7vOsRedi1b99+8uTJu+22W+ZhVlZWIpFo\naGh49913Qwj9+vXLTO/bt29DQ8M777zTagPlS5x++ullZWXNJtp8bYiN1Rb5u2u7vOsRedg1\n89hjjw0aNKiwsHDZsmXFxcU5OTmZ6Tk5OcXFxcuWLWvd4bGRbL42xMaKhk3ZFnnX2wHtQGF3\nzz33vPPOO+eee24Ioba2tvH3OyM7O9v9rdsKm68NsbGiYVO2Od71dkyxnRX73HPPXXvttZmv\nL7vsskMOOSSEkE6nf//738+aNeunP/1p9+7dQwg5OTm1tbVNF6ytrc3Ly9v2A6ap9W6+L7L5\n2hAbKxo2ZRviXW9HFlvY7bvvvjfffHPm6y5dumS+uP32259//vlJkyb16tWr8am1a9fW1NTk\n5uaGEKqqqtauXdu1a9dWGTON1rv5vsjma0NsrGjYlG2Id70dWWyHYgsLC/v8Q+aesE888cTT\nTz/985//vPH3O4TQr1+/ZDL51ltvZR7OmzcvOzt7zz33bJ1B8w9f3HzrZfO1ITZWNGzKtsK7\n3g4utrBrJpVKTZs27fjjj8/JyfnsH2pqagoLC0eOHPnb3/72o48++vDDD++4445Ro0YVFBS0\n9nhpLrPJ1qxZk06nM1+nUimbrw2xsdoif3dtl3c9Eul0urXHsBW99tprV111VbOJV1111X77\n7VddXT1lypRnn302hDB8+PAzzzwzs4Oa7cqYMWOaTfnWt771zW9+0+ZrQ2ysNsffXdvlXY/I\nww4AYMcR+aFYAIAdh7ADAIiEsAMAiISwAwCIhLADAIiEsAMAiISwA9q8wYMHDx06tLVHAdD6\nhB20jssvvzzRRDKZ3GmnnUaPHv3UU081m/Ott96aMGHCHnvsUVhY2KFDh/3222/y5MmrV69u\nNtuiRYsGDhyYSCQWL168SSOZPn36kCFDCgoK2rVrd9RRR82dO7fps0899dTw4cNLSkqKi4uH\nDx8+e/bsxqdmzZq1zz77tG/ffujQoW+++WbTpVauXNmzZ89bb711k0ay2c4888zx48dvm+8F\nsD0TdtCabrzxxunTp0+fPv3OO+88//zzP/zww8MPP/yOO+5onOHOO+8cNGjQvffee8QRR1x/\n/fX/9m//VlZWdtlllx188MEff/xx42yvvvrqgQceWFFRsakD+PWvf33aaae1b9/+N7/5zXXX\nXff2228PGzbs/fffzzz7zDPPjBo1Kp1O33bbbb/5zW9CCEceeeRLL70UQli7du1JJ500YcKE\n5cuXH3rooePGjWt6tfPvfe97/fv3P+ecczb3B7Npzj333AkTJmyb7wWwXUsDreGyyy4LIbz3\n3ntNJ65atapHjx59+vTJPPz73/+enZ09YMCAJUuWNJ1t+vTpyWTyqKOOyjx88803i4uLf/nL\nX/7Hf/xHCGHRokVNZ77rrrtCCHfdddcXx9DQ0NC1a9cBAwbU1dVlppSXl+fl5Y0fPz7zcNiw\nYbvsssu6desyD1OpVK9evUaOHJlOp//6178mEomqqqp0Oj1//vwQwuLFizOzzZw5s3379gsX\nLmzh5R9yyCE9evRoaGhoOpiePXsedthhmYcPPPDA0KFD27dv36FDh2HDhv3tb39rnHPIkCFH\nH330gw8+2L179xNPPDGdTu+///4HHnhg4wwtLHvwwQePHj163rx5w4cPLywsLCsr+/73v9/4\nAtPp9B/+8IfBgwfn5+d37979X/7lX5r+5J988slhw4YVFRUVFhYedNBBjz76aAsvEKBV2GMH\n25H27dsfcMAB5eXltbW1IYRJkybV19ffc889PXr0aDrb2LFjv/3tbxcVFVVWVoYQli9fntnh\nt6nfbtGiRZ999tmxxx6blZWVmdK7d++RI0f+8Y9/DCGsXr362WefPemkk/Lz8zPPFhQUfPOb\n33zqqacqKiqWL19eWFiYl5cXQujQoUMI4fPPPw8hLFu27Jxzzrnxxht79erVwrceO3bsJ598\n8sILLzROeeGFFz7++ONx48aFEP74xz+efPLJffr0mTlz5t13311TUzN69Oh33303M2dubu6K\nFSsuvfTScePGHX/88c3W3PKy2dnZS5YsOf3008eNG/df//VfJ5100k033fSLX/wi8+xDDz10\n/PHH77LLLvfff/+kSZP+8pe/HHnkkVVVVSGExx9/fNSoUR06dHj44YcfffTRnj17jhkz5pFH\nHtnUnznA1tXaZQk7qPXusUun0/vss0/Hjh0zX5eWlu63334bv8717rFrwWeffRZCuOKKK5pO\n/M53vhNCWLFixcsvvxxC+P3vf9/02SlTpoQQXn311aeffjqEkEql0un0G2+8EULI7Nw66aST\njjnmmA1+66VLl2ZlZV1yySWNUy6++OKcnJzly5en0+nvfve7Xbt2rampyTw1b968EMKkSZMy\nD4cPH55IJGbMmNG4bNM9dhtcNoTQuA+voaGhR48ew4cPzzzca6+99t9//8bVzpgxo7i4+Ikn\nnkin0wMGDGi6a7Ourq5///4DBw7c4CsF2JbssYPtQkNDQ3l5+UUXXTR37twzzzwzhFBZWblq\n1ao99thj633TLl26lJWVPfbYYw0NDZkpVVVVmdMj1qxZs3LlyhBCaWlp00UyD1esWDFkyJBu\n3brddNNNa9as+eUvfzl48OAePXrce++9s2bNuv322+fMmTN06NCSkpK999571qxZX/zW3bp1\nGzFixEMPPdQ4ZebMmUcddVTHjh1DCLfddtunn36ak5OTeWr33XcPIZSXlzfOXFhYeNxxx633\nRW1w2Y4dO2byLoSQSCR69+69YsWKEMKSJUveeuutI444onHOE044oaKiYtSoUZ988sm8efOa\n7trMysr6+te/PmfOnMyyANsJYQetaY899sicFZuVlbXzzjvfeuutP/zhDydOnBhCyMnJSSQS\n6SZnJGwNV1999Zw5c4499tiZM2fee++9hx9+eG5ubggh898QQiKRaDp/ZjyJRCI/P3/GjBnT\np08vKyt7++23p02btnTp0gsuuOBXv/pV9+7dx40bd8ABByxbtuzss88+5ZRTUqnUF7/12LFj\nP/jggzlz5oQQXn755fLy8sxx2BDCmjVrrrjiioEDB5aWlubm5hYUFIQQGuszhNC9e/fGxmpm\nY5ZtOn92dnbm2czJKN26dfviOjMnGl9zzTVNT2S+7rrrQghLlixp6ecLsG1lt/YAYId28803\nZzojkUj06NFjr732ynxeLYSQm5vbtWvXzJHEreess86qqqq68cYbTz311F133fUHP/jB/Pnz\n33vvvU6dOnXq1CmE0GyPVOZhZr/aIYcckjkIm3HccceNGDFi7Nixixcvnj9//n333ZeXl/fd\n7373wgsvfOWVVxp3kjU68cQTzzvvvJkzZw4cOPDBBx8sKSk59thjM0+dfPLJzzzzzM9+9rNh\nw4aVlpYmEonddtut6bKNH/v7og0u2yxVm8l8oq6ZzCLnn3/+6aef3uypXXbZpYW1AWxjwg5a\n0+jRozPHCtdrzJgxU6ZMeeaZZw477LBmT/3ud7974IEHpk6d2rVr1684hgsuuOCCCy5ofHjQ\nQQftvffeubm5ffv2zc7OblaWc+fOzcnJ6devX7OVTJ069cUXX8zMnDmLItOF+fn5hYWFmSnN\nlJaWjho16g9/+MPVV189Y8aM448/PrN3bdGiRX/6059+/OMfX3zxxZk5Fy5cuJGv5assu9NO\nO4V/7LdrJnMiSDKZdBlkYDvnUCxsvy655JLCwsIzzjhjwYIFTac//fTTF1988apVqzp37vwV\nv8VPfvKTzNkSGS+99NKLL76Y2S9VXFz8ta997f7778+cextCWL169QMPPDB69OjCwsKmK1m8\nePFFF1106623dunSJYSQ+e/y5ctDCKlUKpVKrff4Zgjh1FNPnTt37uOPP/7BBx80HoddtWpV\n+EcXZvznf/5n+L+HU7/MV1k2s8f04Ycfrqury0yZPXt2UVHRPffc061bt7333vvBBx+srq5u\nnP+0004799xzN7hagG3JHjvYfvXt23fatGnf+ta39tlnn7Fjxw4ePLi2tva5556bOXNm//79\n77///mQyGUJ48cUXP/rooxBC5vYPjzzySOZQ6XHHHVdQUDBt2rQzzjjjrrvu+uJhxBDCTjvt\n9LOf/ayuru6EE04oLy+fOHHioEGDzjvvvMyzEydOPPTQQ0eOHHneeeel0+mbbroplUplPgLY\n1FlnnXXMMcc0XnmkZ8+eAwYMmDJlyrXXXpv5yN2QIUPW+wLHjBlTWFh46aWXduvW7Wtf+1pm\n4p577tmtW7df/epXe+21V35+/t13311dXb3zzju/9tprS5YsKSsra+En9lWWzbzeE0888eij\nj54wYUJFRcXVV1/dpUuXo446KoRwzTXXjBkz5ogjjrj00ktLS0vvuuuu6dOnN72UNMB2oZXP\nyoUd1Zdd7uSLFixYcPHFF/fr16+oqKi0tHTw4ME33HDD2rVrG2do3NfVTOa6Jy1coDjj5ptv\n7tevX35+frdu3c4555zMBUcaPf/88yNGjCgqKiouLh45cuQrr7wH5jqpAAAG6UlEQVTSbPHb\nbrutrKxsxYoVTSfOnTt36NChxcXFgwYNevbZZ1t4daecckoI4fvf/37Tic8+++zgwYMLCgrK\nysp+9KMfVVdX33LLLSUlJZ07d06n08OHD+/fv3/T+Zte7mRTlz3kkEOaTnnooYcyFyju2rXr\nKaec8v777zc+9ec//zlzgeLi4uIhQ4bcd999LbwugFax1c+5AwBg2/AZOwCASAg7AIBICDsA\ngEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7\nAIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgI\nOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBI\nCDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCA\nSAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsA\ngEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7\nAIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgI\nOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBI\nCDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCA\nSAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsA\ngEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7\nAIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgI\nOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBI\nCDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCA\nSAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsA\ngEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7\nAIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgI\nOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBI\nCDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCA\nSAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsA\ngEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7\nAIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgI\nOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBI\nCDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCA\nSAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsA\ngEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7\nAIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgI\nOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBI\nCDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCA\nSAg7AIBICDsAgEgIOwCASAg7AIBICDsAgEgIOwCASPx/xxhKBy1T+54AAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAIAAAByhViMAAAACXBIWXMAABJ0AAASdAHeZh94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\nAwCIhLADAIiEsAMAiMT/AtVos8jTGnZ/AAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### Color by condition and genotype using rlog and then vst transformed counts\n",
    "plotPCA(rlexp, intgroup = c(\"condition\", \"genotype\"))\n",
    "plotPCA(vstexp, intgroup = c(\"condition\", \"genotype\"))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Clustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABDgAAAJYCAMAAACw6qbdAAADAFBMVEUAAAABAQECAgIDAwME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\nAAAASUVORK5CYII=",
      "text/plain": [
       "Plot with title “Cluster Dendrogram”"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### Simple dendogram with no annotation\n",
    "options(repr.plot.width = 9, repr.plot.height = 5)\n",
    "dists <- dist(t(assay(rlexp)))\n",
    "plot(hclust(dists, metho = \"complete\")) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "### Create dendogram object\n",
    "assay(rlexp) %>%\n",
    "    t() %>%\n",
    "        dist %>%\n",
    "            hclust(method = \"complete\") %>%\n",
    "                as.dendrogram -> mydend"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABDgAAAJYCAMAAACw6qbdAAAC7lBMVEUAAAABAQECAgIDAwME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\nIfXfVzj+h93OQ5rL/X+XwPh+qZcUCAAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### Plot dendogram object\n",
    "plot(mydend)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "### Function to annotate dendogram object\n",
    "dendplot <- function(mydend, columndata, labvar, colvar, pchvar) {\n",
    "    cols <- factor(columndata[[colvar]][order.dendrogram(mydend)])\n",
    "    collab <- brewer.pal(max(3,nlevels(cols)),\"Set1\")[cols]\n",
    "    pchs <- factor(columndata[[pchvar]][order.dendrogram(mydend)])\n",
    "    pchlab <- seq_len(nlevels(pchs))[pchs]\n",
    "    lablab <- columndata[[labvar]][order.dendrogram(mydend)]\n",
    "    \n",
    "    mydend %>% \n",
    "        set(\"labels_cex\",1) %>% \n",
    "        set(\"labels_col\",collab) %>%\n",
    "        set(\"leaves_pch\",pchlab) %>%\n",
    "        set(\"labels\", lablab)\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABDgAAAJYCAIAAAAIVsG4AAAACXBIWXMAABJ0AAASdAHeZh94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\nj++2AAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### Annotate genotype only\n",
    "dendplot(mydend, ddsadd@colData, \n",
    "         \"genotype\",    # variable that show in label\n",
    "         \"genotype\",    # variable that define color\n",
    "         \"genotype\") %>% # variable that define shape of points\n",
    "    plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABDgAAAJYCAIAAAAIVsG4AAAACXBIWXMAABJ0AAASdAHeZh94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\n",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### Annotate condition only\n",
    "dendplot(mydend, ddsadd@colData, \n",
    "         \"condition\",    # variable that show in label\n",
    "         \"condition\",    # variable that define color\n",
    "         \"condition\") %>% # variable that define shape of points\n",
    "    plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABDgAAAJYCAIAAAAIVsG4AAAACXBIWXMAABJ0AAASdAHeZh94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\nHa6HAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### Annotate condition and genotype\n",
    "dendplot(mydend, ddsadd@colData, \n",
    "         \"condition\",    # variable that show in label\n",
    "         \"condition\",    # variable that define color\n",
    "         \"genotype\") %>% # variable that define shape of points\n",
    "    plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "R version 3.6.0 (2019-04-26)\n",
       "Platform: x86_64-pc-linux-gnu (64-bit)\n",
       "Running under: Debian GNU/Linux 9 (stretch)\n",
       "\n",
       "Matrix products: default\n",
       "BLAS:   /usr/lib/openblas-base/libblas.so.3\n",
       "LAPACK: /usr/lib/libopenblasp-r0.2.19.so\n",
       "\n",
       "locale:\n",
       " [1] LC_CTYPE=en_US.UTF-8       LC_NUMERIC=C              \n",
       " [3] LC_TIME=en_US.UTF-8        LC_COLLATE=en_US.UTF-8    \n",
       " [5] LC_MONETARY=en_US.UTF-8    LC_MESSAGES=en_US.UTF-8   \n",
       " [7] LC_PAPER=en_US.UTF-8       LC_NAME=C                 \n",
       " [9] LC_ADDRESS=C               LC_TELEPHONE=C            \n",
       "[11] LC_MEASUREMENT=en_US.UTF-8 LC_IDENTIFICATION=C       \n",
       "\n",
       "attached base packages:\n",
       "[1] parallel  stats4    stats     graphics  grDevices utils     datasets \n",
       "[8] methods   base     \n",
       "\n",
       "other attached packages:\n",
       " [1] RColorBrewer_1.1-2          dendextend_1.12.0          \n",
       " [3] DESeq2_1.24.0               SummarizedExperiment_1.14.0\n",
       " [5] DelayedArray_0.10.0         BiocParallel_1.18.0        \n",
       " [7] matrixStats_0.54.0          Biobase_2.44.0             \n",
       " [9] GenomicRanges_1.36.0        GenomeInfoDb_1.20.0        \n",
       "[11] IRanges_2.18.1              S4Vectors_0.22.0           \n",
       "[13] BiocGenerics_0.30.0         forcats_0.4.0              \n",
       "[15] stringr_1.4.0               dplyr_0.8.1                \n",
       "[17] purrr_0.3.2                 readr_1.3.1                \n",
       "[19] tidyr_0.8.3                 tibble_2.1.2               \n",
       "[21] ggplot2_3.1.1               tidyverse_1.2.1            \n",
       "\n",
       "loaded via a namespace (and not attached):\n",
       " [1] nlme_3.1-139           bitops_1.0-6           bit64_0.9-7           \n",
       " [4] lubridate_1.7.4        httr_1.4.0             repr_1.0.1            \n",
       " [7] tools_3.6.0            backports_1.1.4        R6_2.4.0              \n",
       "[10] rpart_4.1-15           DBI_1.0.0              Hmisc_4.2-0           \n",
       "[13] lazyeval_0.2.2         colorspace_1.4-1       nnet_7.3-12           \n",
       "[16] withr_2.1.2            tidyselect_0.2.5       gridExtra_2.3         \n",
       "[19] bit_1.1-14             compiler_3.6.0         cli_1.1.0             \n",
       "[22] rvest_0.3.4            htmlTable_1.13.1       xml2_1.2.0            \n",
       "[25] labeling_0.3           scales_1.0.0           checkmate_1.9.3       \n",
       "[28] genefilter_1.66.0      pbdZMQ_0.3-3           digest_0.6.19         \n",
       "[31] foreign_0.8-71         XVector_0.24.0         base64enc_0.1-3       \n",
       "[34] pkgconfig_2.0.2        htmltools_0.3.6        htmlwidgets_1.3       \n",
       "[37] rlang_0.3.4            readxl_1.3.1           RSQLite_2.1.1         \n",
       "[40] rstudioapi_0.10        generics_0.0.2         jsonlite_1.6          \n",
       "[43] acepack_1.4.1          RCurl_1.95-4.12        magrittr_1.5          \n",
       "[46] GenomeInfoDbData_1.2.1 Formula_1.2-3          Matrix_1.2-17         \n",
       "[49] Rcpp_1.0.1             IRkernel_1.0.1         munsell_0.5.0         \n",
       "[52] viridis_0.5.1          stringi_1.4.3          zlibbioc_1.30.0       \n",
       "[55] plyr_1.8.4             blob_1.1.1             grid_3.6.0            \n",
       "[58] crayon_1.3.4           lattice_0.20-38        IRdisplay_0.7.0       \n",
       "[61] haven_2.1.0            splines_3.6.0          annotate_1.62.0       \n",
       "[64] hms_0.4.2              locfit_1.5-9.1         knitr_1.23            \n",
       "[67] pillar_1.4.1           uuid_0.1-2             geneplotter_1.62.0    \n",
       "[70] XML_3.98-1.19          glue_1.3.1             evaluate_0.14         \n",
       "[73] latticeExtra_0.6-28    data.table_1.12.2      modelr_0.1.4          \n",
       "[76] cellranger_1.1.0       gtable_0.3.0           assertthat_0.2.1      \n",
       "[79] xfun_0.7               xtable_1.8-4           broom_0.5.2           \n",
       "[82] viridisLite_0.3.0      survival_2.44-1.1      memoise_1.1.0         \n",
       "[85] AnnotationDbi_1.46.0   cluster_2.0.8         "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sessionInfo()"
   ]
  }
 ],
 "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": "3.6.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}