{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n",
      "Attaching package: ‘dplyr’\n",
      "\n",
      "The following objects are masked from ‘package:data.table’:\n",
      "\n",
      "    between, first, last\n",
      "\n",
      "The following objects are masked from ‘package:stats’:\n",
      "\n",
      "    filter, lag\n",
      "\n",
      "The following objects are masked from ‘package:base’:\n",
      "\n",
      "    intersect, setdiff, setequal, union\n",
      "\n",
      "Loading required package: MASS\n",
      "\n",
      "Attaching package: ‘MASS’\n",
      "\n",
      "The following object is masked from ‘package:dplyr’:\n",
      "\n",
      "    select\n",
      "\n",
      "Loading required package: ggplot2\n",
      "\n",
      "Attaching package: ‘cowplot’\n",
      "\n",
      "The following object is masked from ‘package:ggplot2’:\n",
      "\n",
      "    ggsave\n",
      "\n",
      "Loading required package: GenomicRanges\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, colMeans,\n",
      "    colnames, colSums, dirname, do.call, duplicated, eval, evalq,\n",
      "    Filter, Find, get, grep, grepl, intersect, is.unsorted, lapply,\n",
      "    lengths, Map, mapply, match, mget, order, paste, pmax, pmax.int,\n",
      "    pmin, pmin.int, Position, rank, rbind, Reduce, rowMeans, rownames,\n",
      "    rowSums, sapply, setdiff, sort, table, tapply, union, unique,\n",
      "    unsplit, which, which.max, which.min\n",
      "\n",
      "Loading required package: S4Vectors\n",
      "\n",
      "Attaching package: ‘S4Vectors’\n",
      "\n",
      "The following objects are masked from ‘package:dplyr’:\n",
      "\n",
      "    first, rename\n",
      "\n",
      "The following objects are masked from ‘package:data.table’:\n",
      "\n",
      "    first, second\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:data.table’:\n",
      "\n",
      "    shift\n",
      "\n",
      "Loading required package: GenomeInfoDb\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 objects are masked from ‘package:base’:\n",
      "\n",
      "    aperm, apply\n",
      "\n",
      "\n",
      "Loading required package: BSgenome\n",
      "Loading required package: Biostrings\n",
      "Loading required package: XVector\n",
      "\n",
      "Attaching package: ‘Biostrings’\n",
      "\n",
      "The following object is masked from ‘package:DelayedArray’:\n",
      "\n",
      "    type\n",
      "\n",
      "The following object is masked from ‘package:base’:\n",
      "\n",
      "    strsplit\n",
      "\n",
      "Loading required package: rtracklayer\n",
      "Loading required package: Matrix\n",
      "\n",
      "Attaching package: ‘Matrix’\n",
      "\n",
      "The following object is masked from ‘package:S4Vectors’:\n",
      "\n",
      "    expand\n",
      "\n",
      "Loading required package: monocle\n",
      "Loading required package: VGAM\n",
      "Loading required package: splines\n",
      "Loading required package: DDRTree\n",
      "Loading required package: Gviz\n",
      "Loading required package: grid\n",
      "Warning message:\n",
      "\"replacing previous import 'GenomicRanges::shift' by 'data.table::shift' when loading 'cisTopic'\"Warning message:\n",
      "\"replacing previous import 'data.table::last' by 'dplyr::last' when loading 'cisTopic'\"Warning message:\n",
      "\"replacing previous import 'GenomicRanges::union' by 'dplyr::union' when loading 'cisTopic'\"Warning message:\n",
      "\"replacing previous import 'GenomicRanges::intersect' by 'dplyr::intersect' when loading 'cisTopic'\"Warning message:\n",
      "\"replacing previous import 'GenomicRanges::setdiff' by 'dplyr::setdiff' when loading 'cisTopic'\"Warning message:\n",
      "\"replacing previous import 'data.table::first' by 'dplyr::first' when loading 'cisTopic'\"Warning message:\n",
      "\"replacing previous import 'data.table::between' by 'dplyr::between' when loading 'cisTopic'\"Warning message:\n",
      "\"replacing previous import 'dplyr::failwith' by 'plyr::failwith' when loading 'cisTopic'\"Warning message:\n",
      "\"replacing previous import 'dplyr::id' by 'plyr::id' when loading 'cisTopic'\"Warning message:\n",
      "\"replacing previous import 'dplyr::summarize' by 'plyr::summarize' when loading 'cisTopic'\"Warning message:\n",
      "\"replacing previous import 'dplyr::count' by 'plyr::count' when loading 'cisTopic'\"Warning message:\n",
      "\"replacing previous import 'dplyr::desc' by 'plyr::desc' when loading 'cisTopic'\"Warning message:\n",
      "\"replacing previous import 'dplyr::mutate' by 'plyr::mutate' when loading 'cisTopic'\"Warning message:\n",
      "\"replacing previous import 'dplyr::arrange' by 'plyr::arrange' when loading 'cisTopic'\"Warning message:\n",
      "\"replacing previous import 'dplyr::rename' by 'plyr::rename' when loading 'cisTopic'\"Warning message:\n",
      "\"replacing previous import 'dplyr::summarise' by 'plyr::summarise' when loading 'cisTopic'\"Loading required package: mclust\n",
      "Package 'mclust' version 5.4.3\n",
      "Type 'citation(\"mclust\")' for citing this R package in publications.\n",
      "Loading required package: tsne\n"
     ]
    }
   ],
   "source": [
    "library(data.table)\n",
    "library(dplyr)\n",
    "library(BuenColors)\n",
    "library(stringr)\n",
    "library(cowplot)\n",
    "library(SummarizedExperiment)\n",
    "library(chromVAR)\n",
    "library(BSgenome.Hsapiens.UCSC.hg19)\n",
    "library(JASPAR2016)\n",
    "library(motifmatchr)\n",
    "library(GenomicRanges)\n",
    "library(irlba)\n",
    "library(cicero)\n",
    "library(umap)\n",
    "library(cisTopic)\n",
    "library(prabclus)\n",
    "library(BrockmanR)\n",
    "library(jackstraw)\n",
    "library(Matrix)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### define functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "select_peaks <- function (se,n_peaks = 80000){\n",
    "    datafr = assays(se)$count\n",
    "    binary_mat = as.matrix((datafr > 0) + 0)\n",
    "    binary_mat = Matrix(binary_mat, sparse = TRUE) \n",
    "    num_cells_ncounted = Matrix::rowSums(binary_mat)\n",
    "    indices_sorted = order(num_cells_ncounted,decreasing = TRUE)[1:n_peaks]\n",
    "    indices = sort(indices_sorted)\n",
    "    ncounts = binary_mat[indices,]\n",
    "    ncounts = ncounts[Matrix::rowSums(ncounts) > 0,] \n",
    "    new_counts = Matrix::colSums(ncounts)\n",
    "    options(repr.plot.width=8, repr.plot.height=4)\n",
    "    par(mfrow=c(1,2))\n",
    "    hist(log10(num_cells_ncounted),\n",
    "         xlab = 'log10(Number of Cells)',\n",
    "         main=\"No. of Cells Each Site is Observed In\",breaks=50)\n",
    "    abline(v=log10(num_cells_ncounted[indices_sorted[length(indices_sorted)]]),\n",
    "           lwd=2,col=\"indianred\")\n",
    "    hist(log10(new_counts),\n",
    "         xlab = 'log10(Number of Sites)',\n",
    "         main=\"Number of Sites Each Cell Uses\",breaks=50)\n",
    "    return(se[rownames(ncounts),])\n",
    "}\n",
    "\n",
    "run_pca <- function(mat,num_pcs=50,remove_first_PC=FALSE,scale=FALSE,center=FALSE){\n",
    "    set.seed(2019) \n",
    "    SVD = irlba(mat, num_pcs, num_pcs,scale=scale,center=center)\n",
    "    sk_diag = matrix(0, nrow=num_pcs, ncol=num_pcs)\n",
    "    diag(sk_diag) = SVD$d\n",
    "    if(remove_first_PC){\n",
    "        sk_diag[1,1] = 0\n",
    "        SVD_vd = (sk_diag %*% t(SVD$v))[2:num_pcs,]\n",
    "    }else{\n",
    "        SVD_vd = sk_diag %*% t(SVD$v)\n",
    "    }\n",
    "    return(SVD_vd)\n",
    "}\n",
    "\n",
    "elbow_plot <- function(mat,num_pcs=50,scale=FALSE,center=FALSE,title='',width=3,height=3){\n",
    "    set.seed(2019) \n",
    "    mat = data.matrix(mat)\n",
    "    SVD = irlba(mat, num_pcs, num_pcs,scale=scale,center=center)\n",
    "    options(repr.plot.width=width, repr.plot.height=height)\n",
    "    df_plot = data.frame(PC=1:num_pcs, SD=SVD$d);\n",
    "#     print(SVD$d[1:num_pcs])\n",
    "    p <- ggplot(df_plot, aes(x = PC, y = SD)) +\n",
    "      geom_point(col=\"#cd5c5c\",size = 1) + \n",
    "      ggtitle(title)\n",
    "    return(p)\n",
    "}\n",
    "\n",
    "run_umap <- function(fm_mat){\n",
    "    umap_object = umap(t(fm_mat),random_state = 2019)\n",
    "    df_umap = umap_object$layout\n",
    "    return(df_umap)\n",
    "}\n",
    "\n",
    "\n",
    "plot_umap <- function(df_umap,labels,title='UMAP',colormap=colormap){\n",
    "    set.seed(2019) \n",
    "    df_umap = data.frame(cbind(df_umap,labels),stringsAsFactors = FALSE)\n",
    "    colnames(df_umap) = c('umap_1','umap_2','label')\n",
    "    df_umap$umap_1 = as.numeric(df_umap$umap_1)\n",
    "    df_umap$umap_2 = as.numeric(df_umap$umap_2)\n",
    "    options(repr.plot.width=4, repr.plot.height=4)\n",
    "    p <- ggplot(shuf(df_umap), aes(x = umap_1, y = umap_2, color = label)) +\n",
    "      geom_point(size = 1) + scale_color_manual(values = colormap) +\n",
    "      ggtitle(title)\n",
    "    return(p)\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Input"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "workdir = '../output/'\n",
    "path_umap = paste0(workdir,'umap_rds/')\n",
    "path_fm = paste0(workdir,'feature_matrices/')\n",
    "system(paste0('mkdir -p ',path_umap))\n",
    "system(paste0('mkdir -p ',path_fm))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_count = readRDS('../input/bonemarrow_cov5000.rds')\n",
    "\n",
    "df_sample = read.table('../input/metadata.tsv',stringsAsFactors = FALSE)\n",
    "\n",
    "df_region = data.frame(do.call(rbind,strsplit(rownames(df_count),'_')),stringsAsFactors = FALSE)\n",
    "colnames(df_region) <- c(\"chr\", \"start\", \"end\")\n",
    "df_region$start = as.integer(df_region$start)\n",
    "df_region$end = as.integer(df_region$end)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>156311</li>\n",
       "\t<li>1200</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 156311\n",
       "\\item 1200\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 156311\n",
       "2. 1200\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] 156311   1200"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>1200</li>\n",
       "\t<li>1</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 1200\n",
       "\\item 1\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 1200\n",
       "2. 1\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] 1200    1"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>156311</li>\n",
       "\t<li>3</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 156311\n",
       "\\item 3\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 156311\n",
       "2. 3\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] 156311      3"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dim(df_count)\n",
    "dim(df_sample)\n",
    "dim(df_region)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "gr_region = makeGRangesFromDataFrame(df_region, keep.extra.columns = TRUE)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Make RangedSummarizedExperiment\n",
    "se <- SummarizedExperiment(\n",
    "  rowRanges = gr_region,\n",
    "  colData = df_sample,\n",
    "  assays = list(counts = df_count)\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "class: RangedSummarizedExperiment \n",
       "dim: 156311 1200 \n",
       "metadata(0):\n",
       "assays(1): counts\n",
       "rownames(156311): chr1_9942_10442 chr1_11036_11536 ...\n",
       "  chrX_155258908_155259408 chrX_155259892_155260392\n",
       "rowData names(0):\n",
       "colnames(1200): CD4_1 CD4_2 ... NK_1199 NK_1200\n",
       "colData names(1): label"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "se"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA8AAAAHgCAIAAADlh5PTAAAACXBIWXMAABJ0AAASdAHeZh94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\nAxJoAAAAAAA9IIEGAAAAANDD/wNoQmTR8+UFrgAAAABJRU5ErkJggg==",
      "text/plain": [
       "Plot with title \"Number of Sites Each Cell Uses\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "se <- select_peaks(se)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "class: RangedSummarizedExperiment \n",
       "dim: 80000 1200 \n",
       "metadata(0):\n",
       "assays(1): counts\n",
       "rownames(80000): chr1_713917_714417 chr1_752580_753080 ...\n",
       "  chrX_154841997_154842497 chrX_154862080_154862580\n",
       "rowData names(0):\n",
       "colnames(1200): CD4_1 CD4_2 ... NK_1199 NK_1200\n",
       "colData names(1): label"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "se"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "running_time <- c()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "labels = se@colData$label\n",
    "colormap = jdb_color_maps"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Control-Naive"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWgAAAFoCAIAAAD1h/aCAAAACXBIWXMAABJ0AAASdAHeZh94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\ngGgIDgAQDcEBAKIhOABANAQHAIj2/4AUfwAwkoT3AAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p_elbow_control <- elbow_plot(assays(se)$count,num_pcs = 30, title = 'PCA on the raw count')\n",
    "p_elbow_control"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "run_control <- function(se,num_pcs=10){\n",
    "    mat = as.matrix(assays(se)$count)\n",
    "    fm_control = run_pca(mat,num_pcs = num_pcs)\n",
    "    return(fm_control)\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "start_time <- Sys.time()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "fm_control = run_control(se)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Time difference of 0.1355562 mins"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "end_time <- Sys.time()\n",
    "tol_time <- difftime(end_time, start_time, units = \"mins\")\n",
    "tol_time\n",
    "running_time <- c(running_time, control=tol_time)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_umap_control <- run_umap(fm_control)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>'CD4'</li>\n",
       "\t<li>'CD4'</li>\n",
       "\t<li>'CD4'</li>\n",
       "\t<li>'CD4'</li>\n",
       "\t<li>'CD4'</li>\n",
       "\t<li>'CD4'</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 'CD4'\n",
       "\\item 'CD4'\n",
       "\\item 'CD4'\n",
       "\\item 'CD4'\n",
       "\\item 'CD4'\n",
       "\\item 'CD4'\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 'CD4'\n",
       "2. 'CD4'\n",
       "3. 'CD4'\n",
       "4. 'CD4'\n",
       "5. 'CD4'\n",
       "6. 'CD4'\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] \"CD4\" \"CD4\" \"CD4\" \"CD4\" \"CD4\" \"CD4\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "head(labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAACXBIWXMAABJ0AAASdAHeZh94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\nTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p_control <- plot_umap(df_umap_control,labels = labels,colormap = colormap,title='Control-Naive')\n",
    "p_control"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### chromVAR"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "run_chromVAR <- function(se,feature='motif',genome='hg19'){\n",
    "    chromvar_se = se\n",
    "    register(MulticoreParam(10))\n",
    "    set.seed(2019)\n",
    "    if(genome == 'hg19'){\n",
    "        genome_ref = BSgenome.Hsapiens.UCSC.hg19\n",
    "    }else{\n",
    "        stop(paste0(genome,' is not supported'))\n",
    "    }\n",
    "    chromvar_se <- addGCBias(chromvar_se, genome = genome_ref)\n",
    "    bg <- getBackgroundPeaks(chromvar_se)\n",
    "    if(feature=='motif'){\n",
    "        motifs <- getJasparMotifs()\n",
    "        motif_ix <- matchMotifs(motifs, chromvar_se, genome = genome_ref)     \n",
    "        dev_motif <- computeDeviations(object = chromvar_se, annotations = motif_ix,\n",
    "                                 background_peaks = bg)\n",
    "        fm_chromvar_motif <- dev_motif@assays[[1]]\n",
    "        fm_chromVAR = fm_chromvar_motif\n",
    "    }else if(feature == 'kmer'){\n",
    "        kmer_ix <- matchKmers(6, chromvar_se, genome_ref)\n",
    "        dev_kmer <- computeDeviations(object = chromvar_se, annotations = kmer_ix,\n",
    "                                 background_peaks = bg)\n",
    "        fm_chromvar_kmer <- dev_kmer@assays[[1]]\n",
    "        fm_chromVAR = fm_chromvar_kmer\n",
    "    }else{\n",
    "        stop(paste0(feature,' is not supported'))\n",
    "    }\n",
    "    return(fm_chromVAR)\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "start_time <- Sys.time()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "fm_chromVAR_motif = run_chromVAR(se,feature='motif')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Time difference of 1.355118 mins"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "end_time <- Sys.time()\n",
    "tol_time <- difftime(end_time, start_time, units = \"mins\")\n",
    "tol_time\n",
    "running_time <- c(running_time, chromVAR_motif=tol_time)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "start_time <- Sys.time()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "fm_chromVAR_kmer = run_chromVAR(se,feature='kmer')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Time difference of 3.187933 mins"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "end_time <- Sys.time()\n",
    "tol_time <- difftime(end_time, start_time, units = \"mins\")\n",
    "tol_time\n",
    "running_time <- c(running_time, chromVAR_kmer=tol_time)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_umap_chromVAR_motif <- run_umap(fm_chromVAR_motif)\n",
    "df_umap_chromVAR_kmer <- run_umap(fm_chromVAR_kmer)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA8AAAAFoCAIAAAAXZAVmAAAACXBIWXMAABJ0AAASdAHeZh94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\n",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p_chromVAR_motif <- plot_umap(df_umap_chromVAR_motif,labels = labels,colormap = colormap,title='chromVAR motif')\n",
    "p_chromVAR_kmer <- plot_umap(df_umap_chromVAR_kmer,labels = labels,colormap = colormap,title='chromVAR kmer')\n",
    "\n",
    "options(repr.plot.width=8, repr.plot.height=3)\n",
    "cowplot::plot_grid(p_chromVAR_motif,p_chromVAR_kmer)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA8AAAAFoCAIAAAAXZAVmAAAACXBIWXMAABJ0AAASdAHeZh94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\nAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p_elbow_chromVAR_motif <- elbow_plot(fm_chromVAR_motif,num_pcs = 100, title = 'PCA on ChromVAR motifs')\n",
    "p_elbow_chromVAR_kmer <- elbow_plot(fm_chromVAR_kmer,num_pcs = 100, title = 'PCA on ChromVAR kmers')\n",
    "\n",
    "options(repr.plot.width=8, repr.plot.height=3)\n",
    "cowplot::plot_grid(p_elbow_chromVAR_motif,p_elbow_chromVAR_kmer)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "fm_chromVAR_motif2 = run_pca(fm_chromVAR_motif,num_pcs = 40)\n",
    "fm_chromVAR_kmer2 = run_pca(fm_chromVAR_kmer,num_pcs = 40)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_umap_chromVAR_motif2 <- run_umap(fm_chromVAR_motif2)\n",
    "df_umap_chromVAR_kmer2 <- run_umap(fm_chromVAR_kmer2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA8AAAAFoCAIAAAAXZAVmAAAACXBIWXMAABJ0AAASdAHeZh94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\nAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p_chromVAR_motif2 <- plot_umap(df_umap_chromVAR_motif2,labels = labels,colormap = colormap,title='chromVAR motif after PCA')\n",
    "p_chromVAR_kmer2 <- plot_umap(df_umap_chromVAR_kmer2,labels = labels,colormap = colormap,title='chromVAR kmer after PCA')\n",
    "\n",
    "options(repr.plot.width=8, repr.plot.height=3)\n",
    "cowplot::plot_grid(p_chromVAR_motif2,p_chromVAR_kmer2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Cusanovich2018"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "run_Cusanovich2018_normalize <- function(se){\n",
    "    binary_mat = as.matrix((assays(se)$counts > 0) + 0)\n",
    "    binary_mat = Matrix(binary_mat, sparse = TRUE) \n",
    "    ncounts = binary_mat\n",
    "    nfreqs = t(t(ncounts) / Matrix::colSums(ncounts))\n",
    "    idf = as(log(1 + ncol(ncounts) / Matrix::rowSums(ncounts)), \"sparseVector\")\n",
    "    tf_idf_counts = as(Diagonal(x=as.vector(idf)), \"sparseMatrix\") %*% nfreqs\n",
    "    return(tf_idf_counts)\n",
    "}\n",
    "run_Cusanovich2018 <- function(mat_Cusanovich2018,num_pcs=10){\n",
    "    fm_Cusanovich2018 = run_pca(mat_Cusanovich2018,num_pcs = num_pcs)\n",
    "    return(fm_Cusanovich2018)\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "start_time <- Sys.time()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>80000</li>\n",
       "\t<li>1200</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 80000\n",
       "\\item 1200\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 80000\n",
       "2. 1200\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] 80000  1200"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mat_Cusanovich2018 <- run_Cusanovich2018_normalize(se)\n",
    "dim(mat_Cusanovich2018)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWgAAAFoCAIAAAD1h/aCAAAACXBIWXMAABJ0AAASdAHeZh94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\nCA4A4A3BAQC8/T//4hVMnxchIQAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p_elbow_Cusanovich2018 <- elbow_plot(mat_Cusanovich2018,num_pcs = 20, title = 'PCA on Cusanovich2018')\n",
    "p_elbow_Cusanovich2018"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "fm_Cusanovich2018 = run_Cusanovich2018(mat_Cusanovich2018,num_pcs=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_umap_Cusanovich2018 <- run_umap(fm_Cusanovich2018)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAACXBIWXMAABJ0AAASdAHeZh94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\nBQ0AwCgUNAAAo/4LUM/THf1BRFUAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p_Cusanovich2018 <- plot_umap(df_umap_Cusanovich2018,labels = labels,colormap = colormap,title='Cusanovich2018')\n",
    "p_Cusanovich2018"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Time difference of 0.9561154 mins"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "end_time <- Sys.time()\n",
    "tol_time <- difftime(end_time, start_time, units = \"mins\")\n",
    "tol_time\n",
    "running_time <- c(running_time, Cusanovich2018=tol_time)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### cisTopic"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [],
   "source": [
    "run_cisTopic <- function(se){ \n",
    "    set.seed(2019)\n",
    "    cistopics_counts = assays(se)$counts\n",
    "    rownames(cistopics_counts) = lapply(strsplit(rownames(se),'_'),FUN=function(x){paste(paste(x[1],x[2],sep=\":\"),x[3],sep='-')})\n",
    "    cisTopicObject <- createcisTopicObject(cistopics_counts, project.name='cisTopic')\n",
    "    cisTopicObject <- runModels(cisTopicObject, topic=c(2, 5:15, 20, 25), \n",
    "                                seed=2019, nCores=10, burnin = 120, iterations = 150, addModels=FALSE)    \n",
    "    cisTopicObject <- selectModel(cisTopicObject)\n",
    "    fm_cisTopic <- modelMatSelection(cisTopicObject, 'cell', 'Probability')\n",
    "    return(fm_cisTopic)\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [],
   "source": [
    "start_time <- Sys.time()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1] \"Formatting data...\"\n",
      "[1] \"Exporting data...\"\n",
      "[1] \"Running models...\"\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAACXBIWXMAABJ0AAASdAHeZh94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\n",
      "text/plain": [
       "Plot with title \"Model selection\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fm_cisTopic <- run_cisTopic(se)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Time difference of 12.78437 mins"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "end_time <- Sys.time()\n",
    "tol_time <- difftime(end_time, start_time, units = \"mins\")\n",
    "tol_time\n",
    "running_time <- c(running_time, Cistopic=tol_time)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_umap_cisTopic <- run_umap(fm_cisTopic)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAACXBIWXMAABJ0AAASdAHeZh94\nAAAgAElEQVR4nOzdeVxN+f8H8PdtuXUrSulKJBJSmSE7RdZhlBqMTJhQ8SVME2ObGIwsU7YR\nw9gZW4zlO9nHKIwlEpKUFtFiKbeUui333t8f5/u7c+e2uHSXU72ej/njns/53HPeJ+bl9Dmf\ncw5HIpEQAACwj5amCwAAgKohoAEAWAoBDQDAUghoAACWQkADALAUAhoAgKUQ0AAALIWABgBg\nKQQ0AABLIaABAFgKAQ0AwFIIaAAAlkJAw/sdO3aMw+FwOJzWrVsr/q2lS5dyFODs7MySggHY\nBgENAMBSOpouAOotHR0dPT096WJFRYVIJCIiDofD5XKl7bJ9AEAWB8+DhvcqKSnJy8sjIh0d\nHQsLi4/byNy5c9euXUtEDg4ODx8+VGZ9lSilYACNwxk0vB+Px2vZsqWmq/gAda5ggCphDBoo\nMzNz9uzZ7dq14/F4fD6/Z8+e4eHhQqFQ2qHKa26pqalTp05lvsXlci0tLd3d3c+ePftxNZSU\nlGzdutXZ2dnc3JzH47Vv33727NnPnz+X7RMeHs6UERgYWFBQEBQU1KpVKx6P16lTp/DwcLFY\nXHPBihwpALtIoGGLjo42Njau/Bejc+fOBQUFTJ+jR48yjdbW1kzL3bt3GzVqVOXfqM2bN1e5\nozlz5jAdHBwc5FZlZGR07ty58qYMDQ0jIyOl3TZt2sS0jx8/vn379nKdx4wZIxKJqitYwSMF\nYBWcQTdor169Gj16dEFBAREZGBgMGjSob9++zKp79+5999131X0xMDCwsLCQiFxdXVeuXLlm\nzZp+/foxq7799tsXL14oXkNFRcXo0aPv3bvHLLZo0cLR0VFbW5uI3r17N2bMmNjYWLmvHDhw\nIDk52crKavjw4c2aNWMajx07tnHjRqUfKYAmafpfCNCkxYsXM38NLCwskpKSmMZffvmFaeRy\nuW/evJFUdUKqq6tLRBwO5+3bt0yLSCTy8PBwc3NbvHhxSkpK5X1Vdwa9bds2pp3D4ezYsYNp\njI+Pt7a2Ztr79u3LNErPoInIy8urtLRUIpG8ffvWxcWFaWzevHlFRUWVBSt4pACsgouEDVpk\nZCTzYcaMGdJBA19f31evXnXq1OnTTz81MTGp8ouNGjViEq1bt24TJkwYOnRo165dT548+RE1\n7N27l/ng7e3t6+vLfHZ0dPz55589PDyI6O+//05LS7OxsZF+hcvlbty4kZmr16hRo7CwsJ49\nexJRTk5OfHx8laMlH32kABqEIY4G7fHjx8yHTz75RNqoq6u7ZMmSL774wsbGhsPhVPlFHx8f\n5kNycvKSJUt69eplamrq6el57Ngx2Yt1ipAObowYMUK2ffjw4cxABxHduXNHdlWbNm2kIxtE\n1L17d+aMnohSU1Or3MtHHymABiGgGy6RSFRSUsJ85vF4H/TdVatW+fv7a2n98/ensLDw1KlT\nX375Ze/evd+9e6fgdoRCYXFxMfO5efPmsqt0dXWbNm3KfM7Pz5ddJW1ncDgcc3Nz5nNRUVHl\nvdTmSAE0CAHdcGlra+vr6zOf37x5I7uKueWvBnp6er/++uvTp0/Xrl07aNAg2dSLiYlZtmyZ\ngjXo6+sbGRkxn3NycmRXlZeX5+bmMp9NTU1lV0nbpZgrlkRU5dyS2hwpgAYhoBs0Ozs75sPN\nmzeljWKxuGXLlh07dhw7duyjR4+q/GJFRUVSUlJqampQUNCff/6Zn58fHR0tnRdx7do1xWuw\nt7dnPpw5c0a2/ezZs9L07N69u+yqJ0+eZGZmShcTExOlAd2hQ4cq9/LRRwqgQQjoBs3NzY35\nsHPnTmmq/vzzzy9evHj8+PGJEyfkBhMYV65cMTAwsLOzGzx4MDO2y+Vy+/Xr5+npyXSQjh0r\nwsvLi/lw8OBB6QXDxMTEwMBA5nP//v2lMzoYYrHYz8+PGc0oLi7+9ttvmXYrK6uOHTsq8UgB\nNEzT00hAk16+fCkNJi0trU6dOskGnK+vL9NNbtaaSCSSnqiam5vPnTs3LCxs6tSpBgYGTOPG\njRsr76u6aXZFRUWyp73W1tZdunTR0fnf/CIejxcXF8f0lJ1mR0TNmjUbPnx4ixYtpC3h4eFV\nFqz4kQKwCgK6oYuKimrcuHHlf7mdnJzy8/OZPpXz7smTJ5aWllX+k+/h4VFeXl55RzXcSfj4\n8WMHB4fKmzIyMjpz5oy0mzSgO3bs6OTkJNfZy8tLLBZXV7CCRwrAKhjiaOj69+8fHx8fEBBg\nY2PD5XINDQ27du36008/Xb9+vcoboxm2trb379///vvvO3fubGhoqK2tbWZmNmjQoD179pw4\ncUJ6/qugDh063L59e/Pmzc7OzmZmZnp6era2trNnz05MTBw+fHjl/o0bN46Ojg4KCmrevLme\nnl6nTp02b9588ODBmqfKfdyRAmgQHjcKdUZ4ePisWbOIqGfPnrLX+gDqK5xBAwCwFAIaAICl\nENAAACyFgAYAYClcJAQAYCmcQQMAsBQCGgCApRDQAAAshYAGAGApBDQAAEshoAEAWAoBTQKB\n4OjRo3FxcZouBADgXxDQlJaWNnbs2J07d2q6EACAf0FAAwCwFAIaAIClENAAACyFgAYAYCkE\nNAAASyGgAQBYCgENAMBSCGgAAJZCQAMAsBQCGgCApRDQAAAshYAGAGApBHStlLwr1XQJAFBv\n6Wi6gLonK+Xlptn7Hv6dKhaLiYjL0537q6+zp5Om6wKA+gZn0B8m7tKjqV1/eHD1CZPORFRW\nUr7KZ+vLZ3maLQwA6h8E9Af4cdzm7z03SP4/mqUkYlrx1WaNlAQA9RgCWlGHfzp94/T96tam\nPsh8npyjznoAoN5DQCvqtx9P1dxh/fQ9aikEABoKBLRCXj3Lkx/XqORxTLoQkzoAQHkQ0AqJ\n//uJIt3mjQhTdSUA0HAgoBWy8/uj7+0jIUqNe6aGYgCggUBAv19FWUX+68L3duMQScSStAfP\n1VASADQECOj30+HqcDiKdo699FCVtQBAA4KAVghHW9EflESi0kIAoAFBQL9feWmFRKRo7rZ3\naq3KWgCgAUFAv5+uno6+gZ6Cne162Ki0GABoOBDQCrHv206uRUJVnFPzjHiKRzkAQM0Q0AqZ\nvsZLroVDVVw3dP6ii1rKAYAGAQGtEEtbPlfvPY9mNTDm/eenceqpBwAaAgS0ovxXy59ES+nx\nuJ4Bgw+lreUZ6auzJACo3/DAfkWN8Ovfyq75nweup95/VlpcqmfI47cyM23WuLd7566DHDRd\nHQDUQwjoD9DJuX0n5/aargIAGgoMcQAAsBQCGgCApRDQAAAshYAGAGApBDQAAEshoAEAWAoB\nDQDAUghoAACWQkADALAUAhoAgKUQ0AAALIWABgBgKQQ0AABLIaABAFgKAQ0AwFIIaAAAlkJA\nAwCwFAIaAIClENAAACyFgAYAYCkENAAASyGgAQBYCgENAMBSCGgAAJZCQAMAsBQCGgCApRDQ\nAAAshYAGAGApBDQAAEshoAEAWAoBDQDAUghoAACWQkADALAUAhoAgKUQ0AAALIWABgBgqboU\n0Dk5OdOmTbOysuJyuRYWFhMnTkxPT5ftUF5eHhoaamdnx+PxbG1tQ0JCKioqNFUtAEAt1ZmA\nzs7O7t69+6+//tq+ffuAgAAnJ6fffvutW7duT548kfbx9fWdN28en88PCAgwMzMLDg6eMGGC\nBmsGAKgVSR3h5+dHROvWrZO27Nmzh4jc3d2ZxQsXLhDRxIkTmUWRSOTl5UVE58+fr3nLd+7c\nIaKAgAAVVQ4A8HHqzBn0iRMn+Hz+N998I23x8fGxsbG5cOGCRCIhovDwcCJaunQps1ZLS2vN\nmjVEtH37dg2UCwBQazqaLkAhIpFozZo1WlpaWlr/+heFx+OVlZWJRCIdHZ2rV69aW1vb2NhI\n1zKLUVFR6i4XAEAZ6kZAa2tr+/r6yjUmJSU9fvz4k08+0dHRefPmjUAgcHJykuvTpk2bS5cu\nCQSCJk2aqKtYAADlqBsBXZlYLJ41a5ZIJGIGPfLy8ojIxMRErpuxsTERFRQUyAZ0fn7+6tWr\npYsvXrxQR8UAAB+oTga0RCKZMWPGxYsXR4wYMWnSJCIqLy8nIj09PbmeTItQKJRtLCgoYIan\nAQDYrO4FtEgkmjp16q5du3r37n348GEOh0NEPB6PiMrKyuQ6l5aWEpGhoaFsY7NmzS5evChd\nfPLkyYwZM1ReNwDAB6pjAV1cXDx27NjTp08PHDjw1KlTRkZGTDszglFQUCDXn2lhBjqk9PX1\nBw8eLF3E8DQAsFOdmWZHRAKBYODAgadPnx43btzZs2el6UxEJiYmfD5f7sZCIkpPT7e0tGzc\nuLF6KwUAUII6E9BCodDNze3WrVtBQUEHDx7kcrlyHZydnVNSUrKysqQtz549S0tL69Onj3or\nBQBQjjoT0IsWLbp+/bq/v//atWuZcWc5Pj4+TDfmvhWJRLJw4UIimjZtmppLBQBQiroxBv3i\nxYvNmzcT0YMHD1xdXeXWRkZGGhkZjRw50sPDY9++fampqc7OzlevXr1+/fqECRNkh5sBAOqQ\nuhHQN2/eZGZo3Lp1q/Ja6SPrjhw5EhISsn///g0bNlhbW69cuXLOnDlqLRQAQHk4zIBAQxYb\nG9utW7eAgADmaR4AACxRZ8agAQAaGgQ0AABLIaABAFgKAQ0AwFIIaAAAlkJAAwCwFAIaAICl\nENAAACyFgAYAdQgODuZwOHPnzv2gb61evZrD4cycOVODNWgQAhoAgKUQ0AAALIWABgBgKQQ0\nAABLIaABQDMkEklERISbm5uFhQWXyzUxMenVq9fGjRulDxCWdefOnSFDhhgZGZmamrq7u1+/\nfr1yn4SEhIkTJ7Zo0YLL5bZo0cLHxyc5OVn1x6FCCGgA0ACJRDJu3DgvL6/Tp0/zeDx7e3sO\nh3Pr1q3AwEDm7Uiybt265ezsHB0dbWtrq6OjExkZ6ezsvHfvXtk+v//+u5OT02+//Zafn9+x\nY8fS0tJ9+/Z16dLl/PnzajwsJUNAA4AGREREREREmJmZ3b59Oz09/d69e7m5uWFhYUR08OBB\nuRdA37lzp3Pnzmlpaffu3cvJyfnxxx8lEsn06dMzMjKYDsnJyRMnTiwrK1u2bFl+fv79+/df\nvnwZGhpaUlIybty4Fy9eaOAIlQEBDQAacPHiRQ6HExwc3K1bN6ZFW1t7zpw57dq1I6LExETZ\nzkZGRidPnmzZsiXTLTg42NPTs6SkZNu2bUyHn376qaSkZPLkyUuWLNHV1WW6zZ0719vbOz8/\nn3lhXl2EgAYADdixY0dxcfGMGTNkG8Visbm5OREJhULZ9pEjR1pYWMi2TJo0iYikwxenT58m\noq+//lpuL15eXrLd6py68U5CAKh/9PX1i4qKrly5kpSUlJKSkpCQcOfOHYFAQERisVi256ef\nfir3XUdHRyJKSkoiIoFAwAxiBAUFcblc2W7FxcVE9OTJE1UehwohoAFAA8RicUhIyLp16/Lz\n85kWfX39vn37pqSkSEeWpYyMjKpsYfL37du3TGNcXFyV+yooKFBi5eqEgAYADViwYEFoaCiX\ny501a1avXr0cHR07duyoq6vbv3//ygH97t07uRYmlI2NjYnIwMCAaRQIBCYmJqqvXX0Q0ACg\nbiUlJeHh4UQUERHh4eEhu6rKGReVxyju379PRPb29kTUtGlTExOT/Pz8uLi4AQMGyHZ7/fp1\nUlJS27ZtmzdvrtxDUA9cJAQAdXvx4kVJSQkROTs7y7bHxcUxt5bI3aty6tSpwsJC2ZZff/2V\niEaMGEFEHA5n6NChRMTM0pO1dOlSFxcXPz8/5R+DWiCgAUDdmjdvzoxLbN26Vdp4+/bt0aNH\nM5/lZnG8evVq3LhxzGh1RUXF/PnzL168aG5uPm3aNKbD/PnzdXR0zpw5s3jx4rKyMiISi8Vb\nt2795ZdfiCgwMFAth6V8CGgAUDd9ff358+cTUXBwsJ2d3fDhwx0dHXv06PHixYuePXsS0fPn\nz2X7u7m5nTt3rmXLlt27d7e0tPzpp58MDQ2Z+1yYDk5OTlu3btXW1l6xYkWzZs26d+/eokWL\n6dOnSySSkJCQIUOGqP8YlQIBDQAasGTJksOHD/fs2fPVq1d//fVXcXHxlClT4uLifvjhByI6\nfvy4bOfPPvvs4sWLn376aUJCglgs9vLyio2NdXV1le3j6+sbExPj7e1tYGBw7949oVA4ZMiQ\nU6dOLVq0SJ3HpVwciUSi6Ro0LDY2tlu3bgEBAcxVCwAAlsAZNAAASyGgAQBYCgENAMBSCGgA\nAJZCQAMAsBQCGgCApRDQAAAshYAGAGApBDQAAEshoAEAWAoBDQDAUghoAACWQkADALAUAhoA\ngKUQ0AAALIWABgBgKQQ0AABLIaABoN6KjY319/e3s7MzMDAwNjZ2cXHZuXOnWCyWdggLC+PI\n0NLSMjQ0tLW19fPze/ToUQ1bnjt3LofDuXnzpkrr11Hp1gEANEIsFi9evHjVqlUSicTOzs7V\n1VUgEMTExFy7du3kyZMnTpzQ0fkn/dq2bduyZUvmW0VFRcnJyTt37jxw4MCRI0dGjhxZeeMx\nMTEbNmxQw1HgDBoA6qHly5evXLnS3t4+JiYmMTHxzJkzN27cSElJ6d27d2RkZGBgoGznmTNn\nRkVFRUVFXbly5e7du/n5+atWrSotLf3qq6+ePHkit+WysjJfX1+RSKSGo0BAA0B9k5iYGBIS\nwufzL1++3L17d2m7lZVVZGSksbHx9u3bc3Jyqvu6jo7OggUL5s+fX1xcvGLFCrm1ISEhjx8/\nHjp0qKqql4GABgANe/mu/OeYl6v/zrn/slgpG9y/f39FRUVQUJC5ubncKlNT07CwsBUrVkgk\nkpo38v333xsYGPz+++8VFRXSxgcPHqxatWru3LldunRRSqk1Q0ADgCY9zhXabX7wzbmMhZee\nd9728EB8Xu23ee7cOSIaMWJElWv9/Py+++47S0vLmjdiZGTUs2fPd+/e3bt3j2kRiURTpkxp\n3br1Dz/8UPsiFYGABgBNWnE1K1/4z3juvD+f136bmZmZRNShQ4dabsfa2pqIpIMhYWFhd+/e\n3b59u76+fi23rCAENABoUpqgVHYxu7CsuFxcXWcFFRQUcLlcXV3dWm5HT0+PiN6+fUtEycnJ\nS5cunTp1av/+/Wu5WcUhoAFAkz5tZiC72MFM30C3trlkZmZWVlZWUlJSy+0UFhYSkZGRkUQi\n8fX1NTMz++mnn2q5zQ+CgAYATVrm2sKu6f9GDEz0tbeOaF37bdrY2BDR48ePq1ybk5NT800o\nUswcu9atW2/evPnatWtbtmxp3Lhx7ctTXK1uVHn27Nnu3bvj4+M5HM4nn3wyYcKENm3aVO5W\nVFTk5uZGRFFRUbXZHQDUP3xD3fvTOkVnvH1XJu5n3ciUp4S754YNG/b333+fOXOmyrkW69ev\nDw0NXbp0ac3X+vLy8u7fv9+oUSMHB4dvvvmGiDw8POT69O7dm4gSExPt7OxqX3ZlH/+zOHjw\noK+vr1AoZBaPHTu2fPnyuXPn/vjjj7K36BBRRUVFdHR0rcoEgPqLq80ZYmOsxA16e3v/+OOP\n69atmzZtWtOmTWVXZWdn79mzh4hGjRpV80bCwsLKysomTpyoo6PTv39/ue08fPgwKSlpwIAB\npqamKjytlnyUW7duMSns6uq6evXqJUuWdO3aldmgq6trQUGBbGeBQFCbfananTt3iCggIEDT\nhQCA0sybN4+IOnbsePfuXWljfHw8c07t4+PDtISGhhLR+vXrZb9bWlq6fv16bW1tIyOjp0+f\nVrn9+fPnE9GNGzdUdgQSiUTykWfQa9asqaio+O6776RD5suWLTt8+PB//vOfqKioIUOGXLx4\nUc2DNQAAUiEhIS9fvty7d6+Tk5Ojo2OrVq0yMzMTEhJEItGQIUO2bNki2zk8PPzkyZNEJJFI\nCgsLk5KSiouL9fX1Dx06xMy005SPDOirV68aGhrK3QQ5btw4R0fHzz77LCYm5vPPP79w4YKB\ngUF1WwAAUB0dHZ3du3ePGzdu69at8fHxly5d0tPT69u376RJk3x8fLS0/jU/IjU1NTU1lfnM\n4/Gsra0HDBjw7bfftmvXThO1/4Mjed/9jlXS1dW1s7OLj4+vvCo5OdnV1TUnJ2fYsGH//e9/\ndXV18/PzmzRpQkQfty9Vi42N7datW0BAQHh4uKZrAQD4x0dOs2vSpElGRobsY1Wl2rdvf/78\neRMTk3Pnzvn4+FTZBwAA3usjA9rZ2bmwsHDt2rVVru3UqVNkZCSPxzt06NCkSZOkMz2UJTc3\nt2nTpmFhYXLt5eXloaGhdnZ2PB7P1tY2JCRE9iknAAB1y0cG9Jw5c7S0tObNmzdu3LiIiIiX\nL1/Kdejbt+/vv/+ur6+/f/9+FxeXWtf5D6FQOGbMmLy8Kp6o4uvrO2/ePD6fHxAQYGZmFhwc\nPGHCBCXuGgBArT56/seWLVu0tbWZjRw7dqzKPtHR0bKTBz96X1LZ2dnMzHAiCg0NlV114cIF\nIpo4cSKzKBKJvLy8iOj8+fM1bxPT7ACAnT7+Vu/p06c/fPjwm2++6dKlS5U3EBJRv379EhIS\nfH19mWeO1NK2bdvs7e1v3rw5ePDgymuZS3xLly5lFrW0tNasWUNE27dvr/2uAQDUr1Z3VdrZ\n2b33xVx8Pn/Hjh3MY/qkjenp6VlZWc7Ozh+0u02bNpmbmx87dqywsPDPP/+UW3v16lVra2vm\nHnwGs4j7ywGgjlLTw5JMTEwGDhwoXdy4ceNHDEyvW7cuISFh0KBBlVe9efNGIBDY2trKtbdp\n0yY3N1d6KyMAQB1Sl97qXcNLwJhrhiYmJnLtxsbGRFRQUMBMxGbk5OS4u7tLF4uLlfOWHQAA\n5aonjxstLy+n/3+6tiymRW6eX0VFRZqMrKwstdUJAOoUGxvr7+9vZ2dnYGBgbGzs4uKyc+dO\n2ZszwsLCODK0tLQMDQ1tbW39/PwqP5K0sLDw22+/bdWqFZfLtbKymjVrVn5+vkrrr0tn0DXg\n8XhEVFZWJtdeWlpKRIaGhrKNVlZWb968kS4ydxKqvkYAUB+xWLx48eJVq1ZJJBI7OztXV1eB\nQBATE3Pt2rWTJ0+eOHFC9qGbbdu2bdmyJfOtoqKi5OTknTt3Hjhw4MiRIyNHjmT6lJeXDxo0\n6Pbt2y4uLl5eXnfu3AkPD4+Ojr5586bqnmlRT86gmRGMgoICuXamhRnoAICGY/ny5StXrrS3\nt4+JiUlMTDxz5syNGzdSUlJ69+4dGRkZGBgo23nmzJlRUVFRUVFXrly5e/dufn7+qlWrSktL\nv/rqK+aZ/UR08ODB27dvT5069cqVK6GhoZcvX541a1Z8fPyOHTtUdxT1JKBNTEz4fH56erpc\ne3p6uqWlJZ6rB9CgJCYmhoSE8Pn8y5cvd+/eXdpuZWUVGRlpbGy8fft26atgK9PR0VmwYMH8\n+fOLi4ulj4S7ffs2Ecne++bj40NEcXFxqjqMehPQROTs7JySkiI7oPzs2bO0tLQ+ffposCoA\neK+Xr9/9vD129c837ye8UsoG9+/fX1FRERQUZG5uLrfK1NQ0LCxsxYoVkvc9u+377783MDD4\n/fffmSdGmJqaEpHswHRycjIRtWjRQik1V6n+BDTzr9miRYuYn7tEIlm4cCERTZs2TcOVAUD1\nHj/Js+uz/Zvv/1y4IrrzgN0Hjin0tsCanTt3johGjBhR5Vo/P7/vvvvO0tKy5o0YGRn17Nnz\n3bt39+7dI6Lx48cbGBgsWLBgx44dDx482Lt37+zZsy0tLWfMmFH7gqtTTy4SEtHIkSM9PDz2\n7duXmprq7Ox89erV69evT5gwocrbDgGAJVasv55fUCpdnLf88vgx9rXcZmZmJhF16NChltth\nntbPDIZ06NAhKipq3Lhx/v7+zFpLS8srV668N+hro/6cQRPRkSNHFi9enJWVtWHDhtzc3JUr\nV+7cuVPTRQFATdKe/uvafvaLouKS8lpus6CggMvl6urq1nI7zDzdt2/fElF+fn5wcHBWVlZQ\nUNDu3buDgoLy8vL69euXlJRUy73UoE6eQXt6elY5fqSnp7d8+fLly5ervyQA+DifOvBv3Pnn\n0lEHW1MDXm2D1czMLCcnp6SkhJmA+9EKCwuJyMjIiIj8/PwuXLhw4cKFIUOGMGs9PT1dXV2/\n/vrrW7du1bLg6tSrM2gAqHOWzXe2a2fGfDYx1tsa+lntt8k8k+fx48dVrs3Jyal8E0qVmDl2\nrVu3LiwsPH78eM+ePaXpTEQuLi5DhgyJiYnJyMiofc1VQkADgCbxmxrcvzz5wlGvE3tHpcb8\nx7Vvq9pvc9iwYUR05syZKteuX7/ewcFh2bJlNW8kLy/v/v37jRo1cnBwyMzMlEgkrVu3luvD\nPMizhhl7taSqgGbuva7OxIkT9+/fr6JdA0DdwuVqD+nf2nN4O9Mm+krZoLe3N5fLXbduXW5u\nrtyq7OzsPXv2ENGoUaNq3khYWFhZWdnYsWN1dHT4fD6Hw0lISJDrk5iYSKqcaafMgM7MzJw3\nb16nTp0MDAy4XK6xsXGvXr1WrVpV+Xb1rl274l0nUBOJ5OX9xLTzf799/kLTpUDdY2NjExgY\n+ObNm379+sneSPLw4UM3N7fXr1/7+Ph06tSpuq+XlZVt2LAhNDTUyMho8eLFRGRmZjZw4MCH\nDx/K3jcYERERHR3t7OxsZWWlqiNR1pP/Dxw4UN0N6Xw+/6+//lLWjpQOb1Rhm6eXbmxs1nu9\nWY///de0x45PR+Y/zdR0XVCXlJeXM/dGEJGjo+Pnn3/+ySefMC+BGjJkyLt375huoaGhRNS2\nbdv+/fv379+/X79+Xbp0YaJMX1//jz/+kG4wOTmZz+cT0WeffTZv3jw3NzcOh9O0adPHjx+r\n7iiUE9B///23trY2h8Px9vY+e/ZsRkZGbm5uamrqiRMnmLnijRs3Tk5OVsq+lC2kcQwAACAA\nSURBVA4BzR7pf17f23vsP9Es+1/Tnm+ePNV0gVCXiMXis2fPenh42NjY6OnpNW7cuF+/frt2\n7RKJRNI+TEDL4vF4dnZ206dPrxxZz58/9/Pzs7S01NHRad68+eTJkzMyMlR6CBzJ++53VMSI\nESPOnDmzbdu2qVOnVl67ePHiFStWTJo0affu3bXfl9IxT7MLCAhgXpoFmvLiTvzh4VNJIq6u\nA0dbyz/hjEHTJtV1AKhnlDMGHRMT4+DgUGU6E9HSpUvNzc0vXryolH1BvVQqeBsxYloN6UxE\nEpH40cE/1FYSgMYpJ6BLSkpquI6pra3dqlUr2UcwA8iJ+n6dWCSqcpXsr3jZN+6rpx4ANlBO\nQHfv3v3GjRuVZ7QwBAJBYmKik5OTUvaleRUllBNDmVfpnaomPzY0pW+LHh89V91ajsznV49U\neFstANsoJ6BXrFghFAo9PT1fvJCfFPX27Vtvb+/S0tJ6cgd2aT7dWU9PTlLaWYrdRDkxmi6o\nPjj+xQwFr4W8y84jZVw1AagTlPMsjvj4+FGjRh05csTW1tbd3b1Lly7GxsbFxcWPHj06efJk\nbm5uhw4dIiIiIiIiZL+1detWpexdfYpfUdwWEsm8WOvJKSovIitX4uCezI8kLq94eV+x82IJ\nSUhMHM77ewLUC8qZxcH5qP9nlLLr2lN0Foe4gq4vJ3FFFau4RtQ1kHRV9V6y+u1tRvaurl8o\n2luLE/jqpirLAWAR5ZxBr1q1SinbYbW8xKrTmYjKiuhuOPWcp96C6gmjFs3+tSz596jzv3Fq\nWAdQ7ygnoBcsWKCU7bBXbjwlHampQ2k+vUkm0/bqKqj+0NLRJg7nn5HlGhOYa4RfU6ABwcip\nAmI30aNDJK5pii4RUeIhtVRTD/FMFX3tukVXB5VWAvVMbGysv7+/nZ2dgYGBsbGxi4vLzp07\nxTL/LwcHB3M4HA6Hs3Tp0iq3MHv2bKZDSkoK0xIWFsb5N11dXTMzM1dX14MHDyq3fmU+sD8t\nLe3x48dCoVD2+CsqKoRC4fPnz48fP67S19+qStYNRafTiUrf3weqMmLnymMeMxQZvbDq1/39\nnQCIxGLx4sWLV61aJZFI7OzsXF1dBQJBTEzMtWvXTp48eeLECR2df6XfiRMnKme0RCI5fvx4\nldtv27Zty5Ytmc8ikSgvLy86Ojo6OjolJWXJkiXKOgrlBHR5efnXX399+PBhpWyNXV5+yD8q\nxS/JoNn7u8G/tXTuytHRlkhvVKl+GJr/SW3fMgcNxPLly1euXOng4LB79+7u3f/37/rz58+9\nvLwiIyMDAwNlJwVYWFg8ePAgNTW1bdu2shu5ceNGVlaWkZFRUVGR3PZnzpwZGBgo23Lx4kU3\nN7cVK1b4+/s3b95cKUehnCGOn3/+mUnndu3a9enTh4hat27dr1+/9u3/Nybbs2fP06dPK2Vf\n6qajS/Tvu9lq8Fr+cbGgIL97J/9ZqCad9Zs0tnLupp56oE5LTEwMCQnh8/mXL1+WpjMRWVlZ\nRUZGGhsbb9++XfYp+56enkR04sQJue0cO3asUaNG/fv3V2SnQ4YMGTVqVHl5uRIfa6GcgGbS\nOSwsLDk5+erVqyYmJra2ttHR0UlJSbGxsa1bt46Pj7e1tVXKvtTNvBMREUexhC7JU2kt9Zhh\nc77dOLea+/T5fjpHG1dN6qOyIsq6Ts+jlXV37v79+ysqKoKCgszNzeVWmZqahoWFrVixQnaa\n78CBA5s0aVI5oI8fP+7u7q6vr+hrBJhXbeXlKS0HlPPXPSkpycTEhDnh19LS6tat27Vr1yoq\nKojIycnp0KFDxcXFa9euVcq+1M2iB3E4lU7qqslr3Vq9obKBG7YpuO2wak9VtLm6bYf1U2c9\noCbFr+nOOkqNpPTzFLuJXt2r/SbPnTtHRMyzjivz8/P77rvvLC0tpS26urru7u43btyQvRea\nedngl19+qfh+Hz58SEp9wYrSHpZkbW3NPAybiBwcHIRCIfMyGCLq1auXvb39X3/9pZR9qRtH\ni8zsZZaZaK7ml/BmXVRfUP3F4bj/9pPnkQ3Nutj/c7ugFoeIGls19zi0ztCiqSbLAxV5dpkq\nhP8splX7VBbFZWZmElGHDh9wxWL06NESieTkyX+G2pjxDeb1hoo4cODAH3/8YWRkNHTo0A+q\ntgbKuUhoamr69u1b6SIzmvHw4UPpS2WsrKyio6OVsi8NaNaFcqWDy9VPNdDikpGqXk3WcLQe\n1Lv1oN5CwdvMG3cbNec369xRVF6uzeVqui5QGeG/n3NZ9pbE5aSlW5tNFhQUcLlcXd0P2MjQ\noUONjIxOnDjxn//8h2n5/fffaxjfCA8Pl6Z5RUVFenp6dnY2h8PZsGGDiYlJbYqXpZwzaCcn\np/T0dOksOjs7OyK6ceOGtEN6ejqPV2d//W/SnvQav7+blrbqS2ko9Js0tv3clTmVRjrXc4b/\nnvDAa1rLdCYiMzOzsrKykpISxb+ir68/YsSIy5cvM+9QvXv3blpaWg3jG6mpqdH/LyYmRiKR\neHh4XLhwwdfXt5bFy1JOQH/99ddENHTo0A0bNpSVlfXq1cvY2PjXX389depUbm7ujz/+mJyc\n/EG/brCLlg518nv/M3rMHdVSDUD90noQGfz/pTwdfWrnWftNMhfrHj9+XOXanJycR48eVW4f\nPXp0eXl5ZGQkER07dszIyKiG8Y3169dLX0xVVlaWnZ198uTJwYMH1754WcoJaC8vry+//DI3\nNzcoKEgsFhsZGX3zzTelpaWenp7m5ubMtO1vv/1WKfvSDIOmZOv+rxa5y4SGfGozXI0FAdQX\nukbUdTZ1mkIOE6jHd2RiU/tNMsF65syZKteuX7/ewcFh2bJlcu2ff/45j8dj5nLUPL6hNsoJ\naC0trSNHjhw+fHjKlCnMIS1ZsmTOnDnMsIaBgcGyZcvGjh2rlH1pTPNe1HP+P798yZ5P6xhQ\n19mko+E/S4C6iqNNTWzJzJ50lDMQ6u3tzeVy161bV/ktItnZ2Xv27CGiUaNGya0yNDT87LPP\nzp07d/v27eTk5A+av6EiSptVyuFwvLy8duzYwSxqa2uHhYXl5eWlpaXl5eUp8d5HTdIzpl4L\nyKIr6RoSR5uIQ8QhYxtyCsBTTQDYw8bGJjAw8M2bN/369ZN9wsTDhw/d3Nxev37t4+MjncIg\na/To0cXFxbNnz655fENtlPksjsp4PF6bNm1Uugt10+FR+9GaLgIA3iMkJOTly5d79+51cnJy\ndHRs1apVZmZmQkKCSCQaMmTIli1bqvyWu7s7l8u9efPmuHHj2DCvQWnnfX/99Zenp6eNjY25\nuXnTaihrXwAANdPR0dm9e/fZs2c9PDyKi4svXbr09OnTvn377tq169y5cwYGVT+31tjYeNCg\nQUTEhvENUtYbVU6cOMFM8665G0teoSJH0TeqAACol3KGOJYvXy6RSAYPHrxkyZIWLVpwMXEV\nAKDWlBPQjx490tPTO3r0qBJvoQEAaOCUE9DGxsYVFRVIZwAAJVLORcKRI0cKBIK7d+8qZWsA\nAEDKCuhVq1a1bt16/Pjx8fHxStkgAAAoZ4jD3Nz8999/d3Z2/uSTT6ytrfl8vpZWFdF/8+ZN\npewOAKAhUE5A3759e+DAgcyzozIyMjIyMpSyWQCAhkw5AT1//vyioiJbW9sZM2bY2Njo6ekp\nZbMAAA2ZcgL6zp07HA7n8uXL0veQAwBoSnh4+KxZs6pba2xszDz0mf2UE9Da2trm5uZIZwBg\nj9atW1tbW1duNzIyUn8xH0c5Ae3i4hIZGZmRkVHljwMAQP18fX2Dg4M1XUWtKGeaXUhICI/H\nmzhxouw7cQEAoDaUcwYdGxs7efLkzZs3t2nTpkePHlZWVoaGhpxK74jaunWrUnYHAPVJ8es3\nySculpcIWw/qY+7YTm37dXNze/jw4b59+yZPnpyTk+Pu7u7o6LhkyZLt27f7+flJu2VkZLRp\n08bb2/u3335TW20M5QT05MmTmQ9CofDKlSvVdUNAA4CcN0+eHhnmV1pQSER//7hl2NZldmPU\n96T8t2/ffvHFF+3atWvbtm2HDh0mTpz4ww8/HDx4UDagDxw4IJFIJk6cqLaqpJQT0KtWrVLK\ndgCgoYlZu5tJZ8bVpZuUFdA7d+78888/K7d/9913I0aMYD4LBIKvv/5679690rUuLi7R0dHZ\n2dmWlpZMy4EDBywsLJT+QlhFKCegFyxYoJTtAEBDU5CRJbv47kVuRYlQh6eEN3w+ffr06dOn\nldsnTJgguzhlyhTZRR8fnytXrhw5coR5z3VcXNyjR4+CgoK0tbVrX9KHwpv0AECTzB3+Nejc\nxNZaKelMRD/++KOkKrLDF0Rka2sru/jll1/yeLyDBw8yiwcOHCAijYxvkLLOoCMjIxXp5ubm\nppTdAUC90WvB1My/77558pSI9IwbDVqr7l/HDQ0NZRcbNWrk6el56NChJ0+etG3b9tChQ46O\njp07d1ZzVQzlBLS7u7si3dj5yisA0CCDpk3GR/+WdT2uvLikRe8u+k0aa7oi8vHxOXTo0NGj\nR52dnbOzswMDAzVViXICun///pUb3717l5mZ+eLFCy0tLV9fX1NTU6XsCwDqGW2ubivXHpqu\n4h+DBw+2tLT8448/8vPztbS0vL29NVWJcgI6KiqqulXXr1//6quvoqKiYmJilLIvAACV0tbW\n9vb2XrduXVZW1sCBA1u0aKGpSpQT0DXo06fPgQMHXFxclixZ8vPPP6t6dwAAjOqm2RHR2rVr\nu3btWsN3fXx8wsLCnj9/vmLFCtVUpxCVBzQROTs78/n8EydOIKABQG2qm2ZHRAKBoObvOjo6\nduzYMSMjY9SoUcqvTGFqmmYnEolev36tnn0BQAM3c+bMKifYSTF3nURGRkokkirfdl1QUJCe\nnj5q1CjNPvpOHQG9Y8eOvLw8GxsbNewLAKD21qxZIxQK/f39NVuGcoY45s6dW7lRIpEIhcKE\nhATm6Rxff/21UvYFAKA6/fr1y8rKSktLGzhwYL9+/TRbjHICeu3atTV38PT0ZO6bBABgM1NT\n0zt37gwZMmT//v2arkVJAf39999XvXUdnaZNm/bu3bvmC6YAACxx8uRJTZfwD+UEtGZnogAA\n1Ev16mFJ5eXloaGhdnZ2PB7P1tY2JCSkoqJC00UBAHykehXQvr6+8+bN4/P5AQEBZmZmwcHB\ncs8VBACoQ9Rxo4p6XLx4cf/+/RMnTty3bx8RicVib2/vI0eOTJkyZejQoZquDgDgg9WfM+jw\n8HAiWrp0KbOopaW1Zs0aItq+fbsGqwIA9duxYweHw5Gmgaz8/HwOh+Po6CjbeObMGU9PTwsL\nCy6Xa2FhMWLEiKNHj1a55djYWH9/fzs7OwMDA2NjYxcXl507d4rFYlUcBdWngL569aq1tbXs\n7TDMYg0PcgIAmD9//ogRI/773/8aGxv37NnT2Nj43LlzY8eOnTBhguwTksVi8ffff9+9e3cm\n/V1dXe3t7WNiYvz8/Dw8PFR0uaueBPSbN28EAoHcmxGIqE2bNrm5ue+97x4AGqa7d+/+9NNP\nbdu2jY+PT0pKunr1alJSUnx8vJ2d3YEDB5jXqTCWL1++cuVKJpQTExPPnDlz48aNlJSU3r17\nR0ZGquiZ0fUkoPPy8oio8j31xsbGRFRQUCDbWFFRkSYjKyuLAKBBOnfuHBEtXbrUwcFB2mhv\nb//rr7/S/7/viogSExNDQkL4fP7ly5e7d+8u7WllZRUZGWlsbLx9+/acnByll1dPLhKWl5cT\nkZ6enlw70yIUCmUbs7Ky2rZtq7baAKBmLwWvj0T9UVxaMrzHgE9t7NVfQOVfsvv06bNmzRrp\nkOn+/fsrKiqCgoLMzc3lepqamoaFhQkEAlW8MaqeBDSPxyOisrIyufbS0lKq9M4xIyOjqVOn\nShdzc3OPHz+u+hoBoAqPn6f0nj0yv+gtES3cueq3BZvGD/pCbXt3d3dfvHjxokWLhELh+PHj\nLS0tmXZtbe158+ZJuzEn2iNGjKhyI3JvoVWiehLQTZo0oUpDGdIWZqBDyszMbNu2bdLF2NhY\nBDSApqw4sJFJZ8a87SuUFdB79uypPEdA7mpep06dtm7dOmvWrHnz5s2bN8/BwaF///6DBw8e\nOnSo7IldZmYmEXXo0EEphSmungS0iYkJn89PT0+Xa09PT7e0tGzcWPOvoQSAKqXlPJNdzM57\nWVxaYqDHq/2WMzIyMjIy3tvN399/4MCB27dv/+9//5uQkJCQkLBly5ZGjRotWrRo3rx5Wlpa\nRFRQUMDlcnV1dWtf1QepJxcJicjZ2TklJUX2it+zZ8/S0tL69OmjwaoAoGZyg84drNoqJZ2J\n6Icffqj8qP4q53S1bdt29erVjx49ys7OPnDgwPjx40tLSxcuXBgUFMR0MDMzKysrKykpUUph\niqs/Ae3j40NEixYtYobqJRLJwoULiWjatGkargwAqrfMZ46d1f8myJoYNd76zWo1F1BcXCz9\n3Lx5c29v799+++3+/ftmZmbh4eHM3AzmauHjx4+r3EJOTs6jR49UUVv9CeiRI0d6eHjs27fP\nxcVlwYIFzs7OBw8enDBhAvNuGwBgJ75J0/u/Xryw+uCJpTtS9113/bS32nZdWlrK4/H69u1b\neZWdnZ2Xl5dIJGJCediwYUR05syZKrezfv16BweHZcuWKb3C+hPQRHTkyJHFixdnZWVt2LAh\nNzd35cqVO3fu1HRRAPAeXB3dIV37efYdZtqoitcDqo6enl7btm3v379/9+7dymufPXtGRHw+\nn4i8vb25XO66detyc3PlumVnZ+/Zs4eIVPF62XoV0Hp6esuXL09PTxcKhUlJSQsXLuRyuZou\nCgDYa86cORKJxN3d/cSJE9IJHkKhMCQk5PTp005OTswNLDY2NoGBgW/evOnXr19cXJz06w8f\nPnRzc3v9+rWPj0+nTp2UXl49mcUBAPARJk+efP/+/Y0bN44aNcrExMTGxkYsFiclJZWUlDRv\n3vzQoUPSniEhIS9fvty7d6+Tk5Ojo2OrVq0yMzMTEhJEItGQIUO2bNmiivLq1Rk0AMCH2rBh\nw6VLl7y9vU1MTBITE588eWJra7t48eJHjx61b99e2k1HR2f37t1nz5718PAoLi6+dOnS06dP\n+/btu2vXrnPnzhkYGKiiNo4qbk+sW2JjY7t16xYQEMA8sBQAgCVwBg0AwFIIaAAAlkJAAwCw\nFAIaAIClENAAACyFgAYAYCkENAAASyGgAQBYCgENAPXN6tWrORxOnz59xGKx3KqKigoOh9Ot\nWzdmccGCBRwO57fffpPrlpGR0apVKw6HM3/+fHVUXA0ENADUTzdu3Pi4R2RkZ2cPGjTo+fPn\nc+bMWbNmjdILUxwCGgDqrUWLFjGvE1Tc69evBw8enJqaGhgYGBYWpqLCFISABoD6qUuXLoWF\nhTNmzFD8K/n5+UOHDk1MTJw5c+b69etVV5uCENAAoGH5r96e+uWviHXn0uI/7Gy3Zt9++22n\nTp3++OOPiIgIRfoXFRUNGzbs3r17M2bM2LRpkxIr+WgIaADQpOfJL/ydlmybd3jPD8dn9ll+\n+cgtZW1ZV1d3x44dWlpas2fPrvJdsbJKSkrc3Nxu3bo1bdo09jzYEgENAJp0+KfT7wr+eW3r\nrsW/K3HjPXr0mDVr1suXL+fOnVtDt7Kysi+++CI6OpqIBg8ezOFwlFhDbSCgAUCTXqS/ll3M\ny8kvLS5T4vZXrFjRqlWrXbt2Xb58ubo+ixYtOn/+/LBhwzgczn/+85/s7GwlFlAbCGgA0KQ2\nnaxkF1u2s9AzUOarRI2MjH755Rcimjp1qlAorLLPy5cvJ02adObMmVmzZuXl5U2ePJklbzJB\nQAOAJk34fqRVewvms6GxwcyN45W+i88///yrr75KSUlZtmxZlR3Gjh27c+dODoezatWqdu3a\nXbhw4eeff1Z6GR8BL40FAE0yMW+0+caS+GvJwuIyx77tGjUxVMVeNmzYcP78+bCwsDFjxlRe\n6+7urqWlRUQGBga7d+/u16/fggULhgwZYm9vr4piFIczaADQMB2uTpeB9r3dOqsonYmIz+ev\nXbu2oqLC39+/5p59+/YNDAwUCoXjx48vK1PmaPhHQEADQIMwadKkwYMHx8XFvbfnihUrOnTo\ncO/eveDgYDUUVgMENAA0FFu3buXxeO/txuPx9uzZo6WltXbt2qioKNXXVS0ENAA0FG3btl26\ndKkiPXv16jVnzhyxWOzj45Ofn6/iuqrFYclsEg2KjY3t1q1bQEAAe24fAgAgnEEDALAWAhoA\ngKUQ0AAALIWABgBgKQQ0AABLIaABAFgKAQ0AwFIIaAAAlkJAAwCwFAIaAIClENAAACyFgAYA\nYCkENAAASyGgAQBYCgENAMBSCGgAAJZCQAMAsBQCGgCApRDQAAAshYAGAGApBDQAAEshoAEA\nWAoBDQDAUghoAACWQkADALAUAhoAgKUQ0AAALIWABgBgKQQ0AABLIaABAFgKAQ0AwFIIaAAA\nlkJAAwCwFAIaAICl6mRA5+bmNm3aNCwsTK69vLw8NDTUzs6Ox+PZ2tqGhIRUVFRopEIAgNqr\newEtFArHjBmTl5dXeZWvr++8efP4fH5AQICZmVlwcPCECRPUXyEAgFLoaLqAD5OTkzN69Ogb\nN25UXnXx4sX9+/dPnDhx3759RCQWi729vY8cOTJlypShQ4eqvVIAgNqqS2fQ27Zts7e3v3nz\n5uDBgyuvDQ8PJ6KlS5cyi1paWmvWrCGi7du3q7FGAAClqUtn0Js2bTI3Nz927FhhYeGff/4p\nt/bq1avW1tY2NjbSFmYxKipKrVUCAChJXTqDXrduXUJCwqBBgyqvevPmjUAgsLW1lWtv06ZN\nbm6uQCBQS4EAAMpUl86gaxhKZq4ZmpiYyLUbGxsTUUFBQZMmTaSNb9++/eWXX6SLWVlZSi4U\nAEAZ6lJA16C8vJyI9PT05NqZFqFQKNsoEAgWLFigttoAAD5OPQloHo9HRGVlZXLtpaWlRGRo\naCjbaG5uHhERIV1MS0tDXgMAC7EuoCMjI+Xi8u7du1wut+ZvMSMYBQUFcu1MCzPQIWVgYPDl\nl19KF2NjY2tTMACAirAuoPPz8xMSEmRbxGLxe79lYmLC5/PT09Pl2tPT0y0tLRs3bqzMEgEA\n1IJ1szgmTJgg+Td9fX1Fvujs7JySkiJ7xe/Zs2dpaWl9+vRRWbEAACrEuoD+aD4+PkS0aNEi\niURCRBKJZOHChUQ0bdo0DVcGAPBRWDfE8dFGjhzp4eGxb9++1NRUZ2fnq1evXr9+fcKECVXe\ndggAwH715wyaiI4cObJ48eKsrKwNGzbk5uauXLly586dmi4KAOAjcZgBgYYsNja2W7duAQEB\nzNM8AABYol6dQQMA1CcIaAAAlkJAAwCwFAIaAIClENAAACyFgAYAYCkENAAAS9WfOwk1Lquw\nbP3NFyl5peaGOhIJ8XS1JnzStGcLw/d/EwCgKgho5dh0++U35zLkbvoJv/3S1EB318g2Hu3l\nX/UCoCwlpcK7KfGl5aVxTxLeFhcNdnJ26dRT00WBciCglWDW2Wfht19UuepNcbnn4WRrE73H\nMz7R1+GouTCo967Gxwyc+2WFWCRtWf7b+jV+i+Z5zdBgVaAsGIOuLbGENt+pOp2lMvJLv/o9\nRT31QIMy4N/pzJi/Y2XnaZ9ViCs0UhIoEQK6tpLfCBV5nElUxlvV1wINy93kh6JK6cy4n5ag\n+1nrnrPcysrL1VwVKBECurauPVMoeYvK3v9eGKhSzst3eYISTVfBOrlv33QLGF5zn5jH96zG\nd1dPPaAKGIOulVRB6dTIDEV6ihr8UwPfSyKhIycTr9x4/ia/5PK1528EJWKJRCz+38+tkRH3\n0TW/lpaNNFske4xcMklC7/9L9UqQW/DurbEh3vpWJyGga2XYgSQFn9cqkVBxudhAF7+yVGvU\npOMnzz6pbm1hUZmDy86C1EB1lsRmMY/vK9hz86l9i7xnqrQYUBEE9McrFUlSBULF+xdXIKCr\nlvOyaPDoiEfJr2vu9rawtLRUpKenrZ6q2Cw5M00kqnr0ubJHGUkqLQZUB3nx8bjaHB3OB/wA\nn+R9QJo3HBIJfTb2/enMKCouU3U9dUJmbo7inUtKS1VXCagUAvrjcYi+/tRM8f5ZhQiXKqQ/\ny49PVCidOURmTXiqrqdO+NTGnqOl6LT6ZmbmKi0GVAcBXSu/urVR+H8T0tPCT7sK0suA72XZ\nzEilldQhZo2b9OjQWcHOhcWFKi0GVAeRUStaHArq1VzBzi0a66q0mDqqbesmCvYsLsWU3n/8\nvmS7gj0rRLhjpa5CQNdW6BCr9qb67+3WzEi3UzMDNdRT53A4ZGLy/h8gEZmb4clT/2jR1EJL\nS6HrpWP7jVR1MaAiCGglSJr5yewezWro0NXS6NqkjrqKj4Y0MFbNFZrd3MPJUtWV1C39OvV4\nfycOefQdqvpaQCUQ0MqxcZi1T+emVa4a2tb4jp+9rQJn2Q1WXn6xIt1SnwpUXUnd8uu3P1ma\nWtTcx6P3MK0PmWsErII/OaXZM9Jmm1trI+4/v3U2M9T9/ct258d30GBVdYKutkK/qhvqc1Vd\nSd3SrkWbW5v/qKHDsO79Ty7bobZ6QOlwo4oyTXXiT3XiF5SKxBIy0dfGiIaChrq22f7b+++L\nExOeZyKvZdPmBvq8YqH8s0q0OJzrG//bs2MXjVQFyoIzaOUz1tNugnT+EJO+6qRIN74ZrrJW\n4bf5m3S0/3WmpaujeznsKNK5HsAZNGhen+4tfvlp6PR5F2ruNmX8J+qpp275wnlY5qHbf8X9\nnVck4Eg4rZpZDvi0rxEPM17qAwQ0sMJ/JnUJDL5UWlbt8yX0uNqD+7VWY0V1SbMm5l8N9NR0\nFaB8GOIAtrBrV+198/r6OgnXfDkYNoIGBgENbBEc1Kdyo66OVugPA949bwC2wAAACz1JREFU\nDVL8hkOAegNDHMAWY9w73Dg78cjJRC0tzsC+1mnP8onIY1i7Vi3xsHlooBDQwCK9ulr26orb\nBQH+B0McAAAshYAGAGApBDQAAEshoAEAWAoBDQDAUghoAACWQkADALAUAhoAgKUQ0AAALIWA\nBgBgKQQ0AABLcSQSiaZr0LBDhw55e3vr6ekZGOCFHdDgxMTE2NraaroKqBoelkQ8Hk9XV9fA\nwKBJE3U/0LKsrCwzM7NRo0bm5uZq3rWCBAKBQCBo3rw5j8fTdC1Ve/78uUgkat26taYLqRr7\n/4i1tPBrNItJQHMePHhARP7+/poupFqLFy8mogsXLmi6kGrZ2dmZmJhouopqsf+PGNgM/3gC\nALAUAhoAgKUQ0AAALIWLhJrE4/G6du3aqlUrTRdSLUtLy65duzZuzN6XTjk4OFhYWGi6imqx\n/48Y2AzT7AAAWApDHAAALIWABgBgKQQ0AABLIaABAFgKAa0xubm5TZs2DQsLk2svLy8PDQ21\ns7Pj8Xi2trYhISEVFRXqL48lZVTG2p9bTk7OtGnTrKysuFyuhYXFxIkT09PTWVUh1D2avpWx\ngSopKenfvz8RhYaGyq2aOHEiEbm4uMyZM6dHjx5E5OXlpf4KWVKGHNb+3LKyslq0aEFEAwcO\nDAwMHD58OBGZmpomJyezpEKoixDQGpCdnd27d2/mH0i5oLlw4QIRTZw4kVkUiUReXl5EdP78\neXVWyJIy5LD55+bn50dE69atk7bs2bOHiNzd3VlSIdRFCGh127p1q4mJCYfDGTx4cOWgGTly\nJBGlpqZKW54+fUpEY8aMUWeRLClDFst/bmZmZnw+XyQSyTba2Njo6emJxWI2VAh1Ee4kVLdN\nmzaZm5sfO3assLDwzz//lFt79epVa2trGxsbaQuzGBUVpc4iWVKGLDb/3EQi0Zo1a7S0tOQe\n3cnj8crKykQikY6ODgt/pMB+uEiobuvWrUtISBg0aFDlVW/evBEIBJWfnt6mTZvc3FyBQKCW\nAtlShhw2/9y0tbV9fX0nT54s25iUlPT48eNPPvlER0dH4xVCHYWAVrehQ4fq6upWuSovL4+I\nTExM5NqNjY2JqKCgQNW1saoMOez/uckSi8WzZs0SiUTffPMNOyuEOgEBzSLl5eVEpKenJ9fO\ntAiFwgZVhuLYVrBEIpkxY8bFixdHjBgxadIkFlYIdQXGoFmEea1UWVmZXHtpaSkRGRoaNqgy\nFMeqgkUi0dSpU3ft2tW7d+/Dhw9zOBy2VQh1CAJaJSIjIxcsWCDbcvfuXS6XW/O3mJciVv6F\nl2lhfh1WA5aUoTj2FFxcXDx27NjTp08PHDjw1KlTRkZGbKsQ6hYEtErk5+cnJCTItojF4vd+\ny8TEhM/ny91+RkTp6emWlpZqeygzS8pQHEsKFggEw4cPv3Xr1rhx4/bu3Sv77zFLKoQ6B2PQ\nKjFhwgS5+Yz6+vqKfNHZ2TklJSUrK0va8uzZs7S0tD59+qisWPaWoTiNFywUCt3c3G7duhUU\nFHTw4MHKvy1pvEKoixDQ7OLj40NEixYtkkgkRCSRSBYuXEhE06ZNa4BlKE7jBS9atOj69ev+\n/v5r165lxp3ZViHURRjiYJeRI0d6eHjs27cvNTXV2dn56tWr169fnzBhAnP7XEMrQ3GaLfjF\nixebN28mogcPHri6usqtjYyMNDIyqnM/UmAFdd62CLJOnDhBVT30RygULl68uHXr1np6eu3b\nt1+5cmVpaan6y2NJGZWx8OfGlFQdgUCg8QqhjsI7CQEAWApj0AAALIWABgBgKQQ0AABLIaAB\nAFgKAQ0AwFIIaAAAlkJAAwCwFAIaAIClENAAACyFgAYAYCkENAAASyGgAQBYCgENAMBSCGgA\nAJZCQENDUVRUZGVl5enpqelCABSFgIYGQSKRTJs2LTMzU9OFAHwABDTUfyKRaPr06QcPHtR0\nIQAfBu8khHru+fPnkydPvnTpkqYLAfhgOIOG+uzs2bMdO3a8dOmSjY3NokWLNF0OwIdBQAMR\nUXBwMIfDmTt3rly7q6srh8OJjIxkFlevXs3hcPbs2ZOQkPDFF1+YmpoaGxsPHjw4NjaWiHJz\nc/39/S0sLPT19Z2cnE6ePCm7KYlEEhER4ebmZmFhweVyTUxMevXqtXHjxoqKCmkfZvtbt279\n+++/BwwY0KhRIz6f7+bmduPGjY87roSEhJKSkqlTp967d69jx44ftxEATUFAwwe7c+dOz549\nT506paOjU1hYeOnSpQEDBsTFxfXo0WPHjh1lZWUSiSQuLm7UqFF//fUX8xWJRDJu3DgvL6/T\np0/zeDx7e3sOh3Pr1q3AwEAfHx+57UdFRQ0YMCA2NrZPnz7m5uanT592cXH5uBHkXr163b9/\nf9u2bY0aNartYQOoHQIaPtjmzZs7d+6cmpr66tWrZ8+e2draFhYW9u3bV09PLzY29s2bNy9f\nvhw0aJBEIvn555+Zr0RERERERJiZmd2+fTs9Pf3evXu5ublhYWFEdPDgwfT0dNntHzlypEeP\nHmlpaefPn09ISNiyZYtIJPL398/KyvrQUp2dnR0dHZVy1ADqh4CGD6avr3/s2LE2bdoQUcuW\nLWfMmEFEJSUlERERTk5ORGRiYrJkyRIievDgAfOVixcvcjic4ODgbt26MS3a2tpz5sxp164d\nESUmJspu39DQ8OjRo02bNmUWp0+f/tVXXxUXF2/atElNRwjADgho+GA9evSwsLCQLtrY2BCR\ntbV1p06dpI0tW7YkosLCQmZxx44dxcXFTJRLicVic3NzIhIKhbLt7u7uzZs3l235+uuviejM\nmTPKPRAAlsM0O/hgVlZWsot6enpExOfzZRu5XC4RSSQSaYu+vn5RUdGVK1eSkpJSUlISEhLu\n3LkjEAiISCwWy363S5cucnu0t7cnopSUFGUeBgDrIaDhgxkaGlZu1NKq6bcxsVgcEhKybt26\n/Px8pkVfX79v374pKSkZGRlynY2NjavcY0lJSXl5ua6u7seXDlCnIKDhH7InvIx3795V7sbh\ncD50ywsWLAgNDeVyubNmzerVq5ejo2PHjh11dXX79+9fOaCLi4vlWgoKCoiocePGSGdoUBDQ\nQESko6NDlcaCiegjJk5UVlJSEh4eTkQREREeHh6yq168eFG5/6NHj+RamIuNmMgMDQ0uEgIR\nETNlIiEhQbbxxo0bOTk5td/4ixcvSkpKiMjZ2Vm2PS4uLjk5mYhk71UhopMnT759+1a2Zdeu\nXUQkF+4A9R4CGoiIevfuTURXrlzZuXMn03Lt2rWvvvqq5pFlBTVv3tzAwICItm7dKm28ffv2\n6NGjmc9yZ+65ubnjxo1jrh+KRKKlS5f+8ccffD5/+vTptS8GoA5BQAMRUdeuXd3d3SUSiZ+f\nX9OmTZs1a+bi4sLlcqdMmVL7jevr68+fP5+IgoOD7ezshg8f7ujo2KNHjxcvXvTs2ZOInj9/\nLtu/Q4cOFy5caNmyZffu3S0tLZctW9aoUaPDhw+bmJjUvhiAOgQBDf9z9OjRFStWdOjQoaio\nSFdXd+bMmbdu3TIzM1PKxpcsWXL48OGePXu+evXqr7/+Ki4unjJlSlxc3A8//EBEx48fl+3s\n6up64cKFLl26JCQk6OjoTJo0KTY2dsCAAUqpBKAO4VS+cA+gKatXr164cOG0adNkB0MAGiyc\nQQMAsBQCGgCApTAPGuqS2NjY/fv3K9Lzm2++YR7nBFB3IaChLklMTNy4caMiPceMGYOAhroO\nFwkBAFgKY9AA8H/t1LEAAAAAwCB/62nsKIiYEjTAlKABpgQNMCVogClBA0wJGmBK0ABTggaY\nEjTAlKABpgQNMBVPnYA1X0eKFwAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p_cisTopic <- plot_umap(df_umap_cisTopic,labels = labels,colormap = colormap,title='cisTopic')\n",
    "p_cisTopic"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Gene Scoring"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "run_GeneScoring <- function(se,file_tss){\n",
    "    # Import gene bodies; restrict to TSS\n",
    "    gdf <- read.table(file_tss, stringsAsFactors = FALSE)\n",
    "    tss <- data.frame(chr = gdf$V1, gene = gdf$V4, stringsAsFactors = FALSE)\n",
    "    tss$tss <-  ifelse(gdf$V5 == \"+\", gdf$V3, gdf$V2)\n",
    "    tss$start <- ifelse(tss$tss - 50000 > 0, tss$tss - 50000, 0)\n",
    "    tss$stop <- tss$tss + 50000\n",
    "    tss_idx <- makeGRangesFromDataFrame(tss, keep.extra.columns = TRUE)\n",
    "    # Import ATAC peaks\n",
    "    adf <- data.frame(chrom=seqnames(rowRanges(se)),start=start(rowRanges(se)),end=end(rowRanges(se)))\n",
    "    adf$mp <- (adf$start + adf$end)/2\n",
    "    atacgranges <- makeGRangesFromDataFrame(adf, start.field = \"mp\", end.field = \"mp\")    \n",
    "    #Overlap between ATAC peaks and Ranges linker\n",
    "    ov <- findOverlaps(atacgranges, tss_idx)\n",
    "    # Make a plot\n",
    "    qplot(table(subjectHits(ov)), binwidth = 1) + theme(plot.subtitle = element_text(vjust = 1), \n",
    "                                                              plot.caption = element_text(vjust = 1)) +\n",
    "      labs(title = \"Histogram of peaks per gene\",  x = \"Peaks / gene\") + pretty_plot()    \n",
    "    # Do distance decay for the weights\n",
    "    dist <- abs(mcols(tss_idx)$tss[subjectHits(ov)] - start(atacgranges)[queryHits(ov)])\n",
    "    exp_dist_model <- exp(-1*dist/5000)\n",
    "    # Prep an outcome matrix\n",
    "    m <- Matrix::sparseMatrix(i = c(queryHits(ov), length(atacgranges)),\n",
    "                              j = c(subjectHits(ov), length(tss_idx)),\n",
    "                              x = c(exp_dist_model,0))\n",
    "    colnames(m) <- gdf$V4\n",
    "    m <- m[,which(Matrix::colSums(m) != 0)]\n",
    "    fm_genescoring <- data.matrix(t(m) %*% assays(se)$counts)\n",
    "    return(fm_genescoring)\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [],
   "source": [
    "start_time <- Sys.time()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "fm_GeneScoring <- run_GeneScoring(se,file_tss='../input/hg19/hg19-tss.bed')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Time difference of 0.04251115 mins"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "end_time <- Sys.time()\n",
    "tol_time <- difftime(end_time, start_time, units = \"mins\")\n",
    "tol_time\n",
    "running_time <- c(running_time, GeneScoring=tol_time)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_umap_GeneScoring <- run_umap(fm_GeneScoring)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAACXBIWXMAABJ0AAASdAHeZh94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\ny3CU3pk87BEAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p_GeneScoring <- plot_umap(df_umap_GeneScoring,labels = labels,colormap = colormap,title='Gene Scoring')\n",
    "p_GeneScoring"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWgAAAFoCAIAAAD1h/aCAAAACXBIWXMAABJ0AAASdAHeZh94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\nTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p_elbow_GeneScoring <- elbow_plot(fm_GeneScoring,num_pcs = 30, title = 'PCA on Gene Scoring')\n",
    "p_elbow_GeneScoring"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [],
   "source": [
    "fm_GeneScoring2 = run_pca(fm_GeneScoring,num_pcs = 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_umap_GeneScoring2 <- run_umap(fm_GeneScoring2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAACXBIWXMAABJ0AAASdAHeZh94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\neur/AdIQH8vaoWxJAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p_GeneScoring2 <- plot_umap(df_umap_GeneScoring2,labels = labels,colormap = colormap,title='Gene Scoring after PCA')\n",
    "p_GeneScoring2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Cicero"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [],
   "source": [
    "run_Cicero <- function(se,genome,file_tss){\n",
    "    if(genome == 'hg19'){\n",
    "        data(\"human.hg19.genome\")\n",
    "        genome_ref = human.hg19.genome\n",
    "    }else{\n",
    "        stop(paste0(genome,' is not supported'))\n",
    "    }\n",
    "    fData <- data.frame(chromosome=seqnames(rowRanges(se)),bp1=start(rowRanges(se)),bp2=end(rowRanges(se)),\n",
    "                       stringsAsFactors = FALSE)\n",
    "    peaknames = paste(fData$chromosome,fData$bp1,fData$bp2,sep = \"_\")\n",
    "    rownames(fData)<- peaknames\n",
    "    fData <- cbind(site_name = peaknames, fData)   \n",
    "    pData <- data.frame(label=colData(se)$label,stringsAsFactors = FALSE)\n",
    "    rownames(pData) = colnames(se)    \n",
    "    pd <- new(\"AnnotatedDataFrame\", data = pData)\n",
    "    fd <- new(\"AnnotatedDataFrame\", data = fData)  \n",
    "    binary_mat = as.matrix((assays(se)$counts > 0) + 0)\n",
    "    binary_mat = Matrix(binary_mat, sparse = TRUE) \n",
    "    input_cds <- newCellDataSet(binary_mat,phenoData = pd, featureData = fd,\n",
    "                                expressionFamily=VGAM::binomialff(),\n",
    "                                lowerDetectionLimit=0)\n",
    "    input_cds@expressionFamily@vfamily <- \"binomialff\"\n",
    "    set.seed(2019)\n",
    "    input_cds <- detectGenes(input_cds)\n",
    "    input_cds <- estimateSizeFactors(input_cds)\n",
    "    input_cds <- reduceDimension(input_cds, max_components = 2, num_dim=15,\n",
    "                            reduction_method = 'tSNE', norm_method = \"none\")    \n",
    "    tsne_coords <- t(reducedDimA(input_cds))\n",
    "    row.names(tsne_coords) <- row.names(pData(input_cds))\n",
    "    cicero_cds <- make_cicero_cds(input_cds, reduced_coordinates = tsne_coords)\n",
    "    conns <- run_cicero(cicero_cds, genome_ref) # Takes a few minutes to run\n",
    "    \n",
    "    gene_annotation <- read.table(file_tss,sep='\\t')\n",
    "    names(gene_annotation)[4] <- \"gene\"    \n",
    "    gene_annotation_pos <- subset(gene_annotation, V5 == \"+\")\n",
    "    gene_annotation_neg <- subset(gene_annotation, V5 == \"-\")\n",
    "    gene_annotation_pos$V3 <- gene_annotation_pos$V2 + 1\n",
    "    gene_annotation_neg$V2 <- gene_annotation_neg$V3 - 1\n",
    "    tss <- rbind(gene_annotation_pos, gene_annotation_neg)    \n",
    "    \n",
    "    input_cds <- annotate_cds_by_site(input_cds, tss)\n",
    "    # generate unnormalized gene activity matrix\n",
    "    unnorm_ga <- build_gene_activity_matrix(input_cds, conns)\n",
    "    unnorm_ga <- unnorm_ga[!Matrix::rowSums(unnorm_ga) == 0,]\n",
    "\n",
    "    # make a list of num_genes_expressed\n",
    "    num_genes <- pData(input_cds)$num_genes_expressed\n",
    "    names(num_genes) <- row.names(pData(input_cds))\n",
    "\n",
    "    # normalize\n",
    "    cicero_gene_activities <- normalize_gene_activities(unnorm_ga, num_genes)    \n",
    "    fm_Cicero = as.matrix(cicero_gene_activities)\n",
    "    return(fm_Cicero)\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [],
   "source": [
    "start_time <- Sys.time()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message in newCellDataSet(binary_mat, phenoData = pd, featureData = fd, :\n",
      "\"Warning: featureData must contain a column verbatim named 'gene_short_name' for certain functions\"Warning message in newCellDataSet(binary_mat, phenoData = pd, featureData = fd, :\n",
      "\"Warning: featureData must contain a column verbatim named 'gene_short_name' for certain functions\"Warning message in newCellDataSet(binary_mat, phenoData = pd, featureData = fd, :\n",
      "\"Warning: featureData must contain a column verbatim named 'gene_short_name' for certain functions\"Overlap QC metrics:\n",
      "Cells per bin: 50\n",
      "Maximum shared cells bin-bin: 44\n",
      "Mean shared cells bin-bin: 2.43909513423394\n",
      "Median shared cells bin-bin: 0\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1] \"Starting Cicero\"\n",
      "[1] \"Calculating distance_parameter value\"\n",
      "[1] \"Running models\"\n",
      "[1] \"Assembling connections\"\n",
      "[1] \"Done\"\n"
     ]
    }
   ],
   "source": [
    "fm_Cicero <- run_Cicero(se,genome='hg19',file_tss='../input/hg19/hg19-tss.bed')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Time difference of 9.489943 mins"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "end_time <- Sys.time()\n",
    "tol_time <- difftime(end_time, start_time, units = \"mins\")\n",
    "tol_time\n",
    "running_time <- c(running_time, Cicero=tol_time)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "df_umap_Cicero <- run_umap(fm_Cicero)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAACXBIWXMAABJ0AAASdAHeZh94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\nfzvBvxvSwSqRAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p_Cicero <- plot_umap(df_umap_Cicero,labels = labels,colormap = colormap,title='Cicero')\n",
    "p_Cicero"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWgAAAFoCAIAAAD1h/aCAAAACXBIWXMAABJ0AAASdAHeZh94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\nAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p_elbow_Cicero <- elbow_plot(fm_Cicero,num_pcs = 30, title = 'PCA on Cicero')\n",
    "p_elbow_Cicero"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [],
   "source": [
    "fm_Cicero2 = run_pca(fm_Cicero,num_pcs = 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_umap_Cicero2 <- run_umap(fm_Cicero2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAACXBIWXMAABJ0AAASdAHeZh94\nAAAgAElEQVR4nOzdZ0AU1xoG4G8XWHqRFrGhlIiADbtiiYoae4t6LcGaojEaNWrsjdiwJcSY\nqDGK3VhisDewi2IJAoIgokiRLrDAtrk/JtmsuzRhlh3wfX7tnjlz5hsJb4YzTcAwDAEAAP8I\ndV0AAAAUDwENAMBTCGgAAJ5CQAMA8BQCGgCApxDQAAA8hYAGAOApBDQAAE8hoAEAeAoBDQDA\nUwhoAACeQkADAPAUAlqXgoODJ0yY4OzsbGpqam5u7uHhMWPGjGfPnql1++OPPwQCgUAgaNiw\noS7K1DqGYX744QcPDw9jY2MrK6s2bdoEBwcrl4aHh8vlcq0WEBQUJHibUCg0NDSsVauWu7v7\n7NmzU1JSSlq3nD9ENUOGDFFuKyQkhOsdgpqCAV3Iz8//5JNPiv2JGBgYBAQEqHY+cuQIu8jR\n0VFH9WrX+vXr1f4RLl++zDBMbm7u7Nmz9fX1CwoKtFrAX3/9VfqvSb169eLi4tTWeqcfoqrM\nzEyRSKTsPGHCBK3uHVRfCGgdkEgk3t7epSfC4cOHlf1rfEA3b96c3UEHBwdfX98+ffpkZmYm\nJSXVrVuXba/KgDY0NDQ0NDQwMFD7iXTt2lV1lXf9Iaratm2bajdzc/P8/Hyt7iBUUwhoHVi0\naJHyl7NHjx5Xr17NysqKjo5euHChMhdq1aql/KUVi8UvX758+fJlcnKybivXEhsbG3avDx48\nqGwMDw9X/itVZUBnZWWxjUVFRVevXv3www+Vix48eKBc5V1/iKo6deqkFuWBgYFa3UGophDQ\nVS07O9vU1JT9tezXr59MJlNd+vPPPyt/aX///XddFVnFlP8gV65cUTbqPKBZd+7cUS7as2cP\n21iZH+KzZ88EAgG7tFmzZuyHnj17anUHoZpCQFe17du3K397Y2Nj1ZbK5fL27duPGzdux44d\nL1++ZBtLmuJ4+fLl9OnTXVxcjIyM7Ozs2rZt++OPP2pm2a1btwYPHmxjYyMSiRwdHSdNmhQT\nE6PaYfXq1ez4CxcuPH/+/IcffmhoaNi4cWPlAaNYLP755587depka2trZGTk6uo6ffr0Fy9e\nlLmzhYWF69ata926tbm5uVAoNDc3b9my5apVq4qKitgOPXr0IA1jxowZM2aMZvutW7c43ClV\npQS0RCJRLlq/fj3bWIEfotKKFSvYFZs0aXL48GH2s1Ao1OwJgICuar6+vuzvZNOmTcu5SrEB\nHRISYmlpqZliLVq0yMnJUXb7+eefhUL1a3WMjY1Pnjyp7KPMsqFDhxobG7OfRSIRO05CQkKL\nFi00N2RqahoUFFRK2VKpdMCAAZorElH37t3lcjlT0YCu/E6pKSWgb9++rVy0c+fOCv8QlRo3\nbsyuu3Tp0vz8fOWR+Pfff/+uQ0GNh4Cuau3atWN/IUeOHFnOVTQDOjU11dbWlm00MTHp0aOH\n6rTmZ599xna7ceOGnp4e2+jl5TV+/HgPDw/2q7m5ufIQWJllqnr37s0wjFQqbd26tbKxbt26\nnp6eyjGNjIzu3btXUtk7duxguxkYGAwZMmTixImqQX/x4kV202PGjNHX12cbe/bsOWbMmK1b\nt27ZssXHx0fZeciQIcOGDWOPkSu/U5qKDej8/PzLly+7uroqF0VHR1f4h8hSnTB5/PgxwzAj\nR45kvzZu3PidhoL3AQK6qilPOiljtEyaAb148WK2pXbt2srUUE59ikSizMxMhmF69+7Ntkyd\nOpXtI5fLR4wYwTbOmzePbVTNskGDBqWkpERFRd24cYNhmF9++YVtFwgEO3bsYPuHh4c7Ojqy\n7Z06dSqp7FWrVrm7u+vp6SkPPOVyuTJMt2zZouz5TnPQld8pTeW5iqNv377K/hX4IbKmT5/O\nruju7s62HDt2TLmJ27dvv9NoUOMhoKuak5MT+9s4ZcqUcq6iGdAtW7ZkW1asWKHsJpFIli9f\nfuzYsbi4OIVCkZ+frzwyjYqKUna7du0a29iiRQu2RTXLnj9/rrrpjh07su1jxoxRbf/zzz+V\nq2heIKyqoKCAnc1gGOb169fKS9NWrlyp7FP+gOZkpzSVeR20m5tbUlKSsn8FfogMw0ilUjs7\nO3bFpUuXKv99zM3N2cYvvvii/KPB+0C/9P8ugXNWVlbsh6ysrAoP8uTJE/aD8jIAIjIwMFiy\nZInya3R0tEwmYz83adJEc5CoqCi1lnr16ikPjVkPHz5kP/Tr10+1/eOPP9bT02Nv8Lt3754y\nsDRlZWVduHDhxo0bt2/ffvz4sUKhYNsZhiltD0vAyU6Vk0gksrS0bNSo0aBBg2bMmKH8vwhV\n9Id47ty5tLQ09rPykN/IyGjgwIH79u0jokOHDm3evNnQ0LAC1UKNhICuas7Ozvfv3yeiyMjI\nYjv4+/vXr1+/f//+qomgSi6XFxQUsJ+Vp780vXnzpvRKioqKpFKp6t/yH3zwgWqHwsJCsVjM\nfnZwcFBdZGBgYGtrm5qaSkTZ2dnFjp+bmzt16tQDBw4ob9Q2NjY2MjJiQ005j/xOKr9TZcrK\nylLmb0kq9kPcu3ev8nPbtm2Vn6VSqXLTJ0+eLOnuRHgP4VkcVU35N35kZGRcXJza0tzc3OXL\nl48aNcrOzm7r1q3FjqCnp2dkZMR+zszMVF2k+swKExMT5ef4+Pjc4qjNtKr9L8HIyMjMzIz9\nnJycrLpIKpWmp6ezn62trYut8/PPP9+7d69cLndwcFi6dCl7K4fy1F/FArryO8WJCvwQc3Nz\nVeeF8lWoXsm3e/duzquF6gsBXdVGjhyp/Bt21qxZyj/5WStXrszLyyOigoICZ2fnkgZxc3Nj\nP6heBKZQKOrVq9ekSZMRI0ZERka6uroqb4iIjo42+9eLFy/YrFSGr5JyelfJ3d2d/XD69GnV\n9jNnzij/Z9CmTRvNCnNycg4dOqTsvGzZss6dOxsaGioPgd8poJXzIZzsVOVV4Id49OhR5d89\npTh37hz7dwkAER6WpAszZ85U/vv36dPnxo0bWVlZ4eHhU6ZMUbZ7enoqFAq2v+ZJQuV9xmZm\nZteuXWMbN23axDbq6+unpqYyKrcUd+zYUXmeTXkMO3r0aLZFeT6tR48eaqVu2LCBXSQUCpU3\nxUVGRjZq1IhtV3tChVJMTIxyX/7++2+2MT4+Xnk8u3r1amXnYk8SKufZiSghIYFhGKlUyslO\naSrlOuiSvOsPsXv37mxj+/btNUcLCwtTrrVhw4byFADvAwS0DhQUFKheXKxJX19f9a650q+D\nFgqFTZs2VT1jNmnSJLbbqVOnlI3u7u7ffPPNRx99xH4VCAR37txhu5WSZXl5ecobK9gCWrZs\nqTwmNTY2LvbGPIZhCgsLlQezrq6uP/7449KlS5U1E9GCBQuUnYsNaOX5NCL64IMP6tate+HC\nBU52SlMFAvqdfoiJiYnKO2s2b95c7ICenp5sh2bNmpWnAHgfIKB1Iycnp2/fvsX+YltYWPz5\n55+qnYu9kzA4ONjCwkJzdS8vr+zsbGU35Y3FarZu3arsU3qWPXnyRHnxsiozM7PTp0+Xso9r\n1qzRXKt+/frsh+HDhyt7FhvQjMrVhKxdu3ZxtVNqKhDQzLv8ENeuXcu2C4VC1cv1VCn70NtP\nZYL3GQJal06dOjVixIh69eqJRCIzM7OWLVsuWLBA8xe4pGdxJCQkTJs2zcnJSSQSmZqatmrV\nat26dYWFhWqrBwcHDxs2rHbt2iKRqEGDBoMHD75586ZqhzKzTCwW//TTT97e3jY2NoaGhi4u\nLl9//XV5nh2xY8eOZs2aiUQiExMTLy+vgIAA5dSHhYVFXl4e262kgH769OnHH39sampqZmbm\n5eXFHkFztVOqKhbQrPL8EJs2bcoO3q1bt5LGefXqlXJefsaMGe9UA9RUAqZCl6MCAIC24SoO\nAACeQkADAPAUAhoAgKcQ0AAAPIWABgDgKQQ0AABPIaABAHgKAQ0AwFMIaAAAnkJAAwDwFAIa\nAICnENCUlZV15MiRBw8e6LoQAIC3IKDp2bNnI0aM2Llzp64LAQB4CwIaAICnENAAADyFgAYA\n4CkENAAATyGgAQB4CgENAMBTCGgAAJ5CQAMA8BQCGgCApxDQAAA8hYAGAOApBDQAAE8hoHlD\noZDk5uu6CADgEX1dF/Bey45PPDVxfkZkvEIuY1v0jY2GHN5St0ML3RYGAHyAI2jdUEhlKfcj\n9ncblxb+VJnORCQrKDw6ZKpCJtdhbQDAEwhoHciMeb6n06iDvSZK8sWaSxUy+b3Nv1d5UQDA\nOwhoHTg9eUH2s5eldLj7w54qKwYAeAsBXaWyYhMO+kxIj4wrvZtUXCSXSKumJADgLQR01UmP\niA3sPCblQWQ5+jJHB32Zn5qu9ZoAgMcQ0FUkMzr+6NBpCml5j4uT7obvbD4oOfRvrVYFAHyG\ngK4KjEJxcsycgozsd1pLIZOd+N8suUSipaoAgOcQ0FUhOz4x+3liBVYsyslNCg3nvB4AqBYQ\n0FXBwMS4wuuem7aMkSs4LAYAqgsEdFUwc7CzcXOu2Lp5r14f/+RrbusBgGoBAV0V7v0YmPn0\neYVXf3H1bl7Sa+7KAYDqAQGtdX//fuz68gBGXqm7tx/+eoiregCgukBAa5esoPDaki2VH+de\nwN7wwD8rPw4AVCMIaO1Ki4iV5hdWcGXmrW+Xvvn+4a8HKl8SAFQXCGjtMjQ3JUFFV9ZYMXjh\nZml+QeUqAoBqAwGtXal/R5W2mCltYbH9n/51qRLlAEB1goDWrqRbj9SbVENZ8+C6hMhWNhek\nvdvtiABQfSGgtauWa0P1ptJnPEpYqmy2b9mkchUBQLWBgNYut+G9DS3NuBrNvO4Hdds152o0\nAOA5BLR2mdhZj726v8VnI2p7uTt27zAgcJ1T364VG0ooFI67cVBogNdIArwv8NuudeZ1P+j2\n/Wz2s0Imv7bkB+UiRnNKo5imf4gszERmJtqpEQD4CEfQVer5xZvZ8f891q6YKFZpUjtfWKdt\nMy1VBQD8hICuUm9eJpe/89vxLej7mx/H1QAAvyGgq9QHzd0qtqKAGKEe5qMA3i8I6Crl0LaZ\nnpGoImsKhQyDp0IDvF8Q0FWt3ayJFVirTrvmeqIKJTsAVFsI6KrWZqav96KpJCz3v7yAHLu1\nG7BnnTaLAgA+wrRmVRMIha1n+rb48n8xJy6KU9ITr4c9v3K7lP5tpn/aacm0KisPAPgDAa0b\n+oYi95F9ieh1eHQp3ep3adN2TkWmRACgBkBA61izicNiTlzUaBa0mzXebWTfWs4NdFATAPAD\n5qB1rF5HL4+xg95uE/QOWNxhwRdIZ4D3HAJa93w2L2g7e4LQwIAhMq1tNzBwXZNR/XRdFADo\nHqY4eKHjd1+0nzO5MCfXxLaWrmsBAL7AETRfCA30kc4AoAoBDQDAUwhoAACeQkADAPAUAhoA\ngKcQ0AAAPIWABgDgKQQ0AABPIaABAHgKAQ0AwFMIaAAAnkJAAwDwFAIaAICnENAAADyFgAYA\n4CkENAAATyGgAQB4CgENAMBTCGgAAJ5CQAMA8BQCGgCApxDQAAA8hYAGAOApBDQAAE8hoAEA\neAoBDQDAUwhoAACeQkADAPAUAhoAgKcQ0AAAPIWABgDgKQQ0AABPIaABAHgKAQ0AwFMIaAAA\nnkJAAwDwFAIaAICnENAAADyFgAYA4CkENAAATyGgAQB4CgENAMBTCGgAAJ5CQAMA8BQCGgCA\npxDQAFAVFi1aJBAI5syZ805rrVmzRiAQfPXVVzqsQYcQ0AAAPIWABgDgKQQ0AABPIaABAHgK\nAQ0AusEwzOHDh/v371+7dm2RSGRlZdW+ffstW7bIZDLNzvfu3fPx8TEzM7O2th4wYMDNmzc1\n+0RERIwbN65u3boikahu3bq+vr4xMTHa3w8tQkADgA4wDDNq1KiRI0eeOnXK2NjY3d1dIBDc\nuXNn5syZvr6+ap3v3Lnj7e0dEhLi4uKir68fFBTk7e29e/du1T5Hjx718vLau3dvdnZ2kyZN\nioqK9uzZ07Jly3PnzlXhbnGsWgZ0enq6ra2tv7+/WrtUKl2/fr2bm5uxsbGLi4ufn1+x/ysG\nAJ07fPjw4cOHbWxs7t69Gx8f//Dhw/T0dPaXev/+/fHx8aqd792716JFi2fPnj18+DA5OXnl\nypUMw3z55ZcJCQlsh5iYmHHjxkkkkuXLl2dnZz969Cg1NXX9+vUFBQWjRo1KSUnRwR5yofoF\ndGFh4fDhwzMyMjQXTZo0ae7cufb29tOmTbOxsVm0aNHYsWOrvkIAKNOFCxcEAsGiRYtat27N\ntujp6c2ePdvV1ZWIoqKiVDubmZmdOHGiXr16bLdFixYNHjy4oKDgl19+YTusW7euoKBgwoQJ\nS5YsMTAwYLvNmTNn9OjR2dnZP/30U5XuG3eqWUAnJyd37949JCREc9GFCxcCAwPHjRt39epV\nf3//W7dujRw58tChQ+fPn6/6OgGgdDt27BCLxVOnTlVtVCgUdnZ2RFRYWKjaPnDgwNq1a6u2\njB8/noiU0xenTp0iok8//VRtKyNHjlTtVu3o67qAd/DLL7/Mnz8/JyenZ8+eFy9eVFsaEBBA\nRMuWLWO/CoXCtWvXHjp0aPv27b169ariUgGgTEZGRnl5eVevXo2Ojo6NjY2IiLh3715WVhYR\nKRQK1Z7NmzdXW9fT05OIoqOjiSgrK4udxJg1a5ZIJFLtJhaLiejp06fa3A8tqk4B/eOPP9rZ\n2f3xxx+5ubmaAX3t2jVHR0cnJydlC/s1ODi4SqsEgHJQKBR+fn4bN27Mzs5mW4yMjDp16hQb\nG6ucWVYyMzMrtoXN3zdv3rCNDx48KHZbOTk5HFZelarTFMfGjRsjIiJ69OihuSgzMzMrK8vF\nxUWtvVGjRunp6ez/kwGAP+bPn79kyRKxWDx9+vR9+/Y9evTozZs3Fy9edHR01Oycn5+v1sKG\nsqWlJRGZmJiwjVlZWUxx1I7Hq5HqdARdykwFe87QyspKrZ39+eXk5NSqVUvZKJFIwsPDlV/V\nTkcAgLYVFBSwc5KHDx8eNGiQ6qJir7jQnKN49OgREbm7uxORra2tlZVVdnb2gwcPPvroI9Vu\naWlp0dHRzs7ODg4O3O5C1ahOR9ClkEqlRGRoaKjWzraonXBITk5urWLcuHFVVicAEFFKSkpB\nQQEReXt7q7Y/ePCAvbVE7QLZP//8Mzc3V7Xl119/JaJ+/foRkUAgYI/eNC+9XbZsWefOnSdP\nnsz9PlSJGhLQxsbGRCSRSNTai4qKiMjU1FS10czM7DMVQ4cOrbI6AYCIHBwc2HmJbdu2KRvv\n3r07bNgw9rPaQdXr169HjRrFzlbLZLJ58+ZduHDBzs7u888/ZzvMmzdPX1//9OnTixcvZnNA\noVBs27bt559/JqKZM2dWyW5xrzpNcZSCncHQPBXAtrATHUo2NjbKyyeJKCws7NixY9qvEQD+\nYWRkNG/evKVLly5atCgwMLBRo0YvX76MiIgwNjZu167dnTt3Xr58qdq/f//+p0+frlevXpMm\nTRISEtLS0kxNTdn7XNgOXl5e27Zt+/zzz1etWhUQEODi4pKYmMjOlvj5+fn4+OhgJ7lQQ46g\nrays7O3t1e4+IqL4+Pg6depYWFjopCoAKMmSJUsOHjzYrl27169fX758WSwWT5w48cGDB0uX\nLiUitWOm3r17X7hwoXnz5hEREQqFYuTIkWFhYd26dVPtM2nSpNDQ0NGjR5uYmDx8+LCwsNDH\nx+fPP/9csGBBVe4Xx4o96clzx48fJ6L169erNrIzFYmJicoW9mKd4cOHlz7avXv3iGjatGla\nqRUAoKJqyBE0EbEPWFmwYAHDMETEMMx3331HRMpZKgCA6qWGzEET0cCBAwcNGrRnz564uDhv\nb+9r167dvHlz7NixPXv21HVpAAAVUXOOoIno0KFDixcvfvXq1ebNm9PT07///vudO3fquigA\ngAoSsBMC77OwsLDWrVtPmzaNvXIeAIAnatQRNABATYKABgDgKQQ0AABPIaABAHgKAQ0AwFMI\naAAAnkJAAwDwFAIaAICnENAAADyFgAYA4CkENAAATyGgAQB4CgENAMBTCGgAqLHCwsKmTJni\n5uZmYmJiaWnZuXPnnTt3KhQKZQd/f3+BCqFQaGpq6uLiMnny5MjIyFJGnjNnjkAguH37tlbr\nrzkP7AcAUFIoFIsXL169ejXDMG5ubt26dcvKygoNDb1+/fqJEyeOHz+ur/9f+jk7O9erV49d\nKy8vLyYmZufOnfv27Tt06NDAgQM1Bw8NDd28eXMV7AWOoAGgBlqxYsX333/v7u4eGhoaFRV1\n+vTpW7duxcbGdujQISgoaObMmaqdv/rqq+Dg4ODg4KtXr96/fz87O3v16tVFRUX/+9//nj59\nqjayRCKZNGmSXC6vgr1AQANATRMVFeXn52dvb3/lypU2bdoo2+vXrx8UFGRpabl9+/bk5OSS\nVtfX158/f/68efPEYvGqVavUlvr5+T158qRXr17aql4FAhoAdCw1X/pDaOqaG8mPUsWcDBgY\nGCiTyWbNmmVnZ6e2yNra2t/ff9WqVWW+TGrhwoUmJiZHjx6VyWTKxr///nv16tVz5sxp2bIl\nJ6WWDgENALr0JL3Q7ae/Z5xN+O7Syxa/PN4XnlH5Mc+ePUtE/fr1K3bp5MmTv/322zp16pQ+\niJmZWbt27fLz8x8+fMi2yOXyiRMnNmzYcOnSpZUvsjwQ0ACgS6uuvcou/G8+d+7Fl5UfMzEx\nkYgaN25cyXEcHR2JSDkZ4u/vf//+/e3btxsZGVVy5HJCQAOALj3LKlL9mpQrEUsVJXUup5yc\nHJFIZGBgUMlxDA0NiejNmzdEFBMTs2zZss8++6xr166VHLb8ENAAoEvNPzBR/drYxsjEoLK5\nZGNjI5FICgoKKjlObm4uEZmZmTEMM2nSJBsbm3Xr1lVyzHeCgAYAXVrera6b7T8zBlZGetv6\nNaz8mE5OTkT05MmTYpcmJyeXfhOKEnuNXcOGDX/66afr169v3brVwsKi8uWVX6VuVHnx4sWu\nXbvCw8MFAkGzZs3Gjh3bqFEjzW55eXn9+/cnouDg4MpsDgBqHntTg0efNw1JeJMvUXRxNLc2\n5uDuuT59+ty4ceP06dPFXmuxadOm9evXL1u2rPRzfRkZGY8ePTI3N/fw8JgxYwYRDRo0SK1P\nhw4diCgqKsrNza3yZWuq+L/F/v37J02aVFhYyH79448/VqxYMWfOnJUrV6reokNEMpksJCSk\nUmUCQM0l0hP4OFlyOODo0aNXrly5cePGzz//3NbWVnVRUlLS77//TkRDhw4tfRB/f3+JRDJu\n3Dh9ff2uXbuqjfP48ePo6OiPPvrI2tpai4fVTIXcuXOHTeFu3bqtWbNmyZIlrVq1Ygfs1q1b\nTk6OauesrKzKbEvb7t27R0TTpk3TdSEAwJm5c+cSUZMmTe7fv69sDA8PZ4+pfX192Zb169cT\n0aZNm1TXLSoq2rRpk56enpmZ2fPnz4sdf968eUR069Ytre0BwzBMBY+g165dK5PJvv32W+WU\n+fLlyw8ePPjFF18EBwf7+PhcuHChiidrAACU/Pz8UlNTd+/e7eXl5enp2aBBg8TExIiICLlc\n7uPjs3XrVtXOAQEBJ06cICKGYXJzc6Ojo8VisZGR0YEDB9gr7XSlggF97do1U1NTtZsgR40a\n5enp2bt379DQ0L59+54/f97ExKSkEQAAtEdfX3/Xrl2jRo3atm1beHj4pUuXDA0NO3XqNH78\neF9fX6Hwresj4uLi4uLi2M/GxsaOjo4fffTRN9984+rqqova/yNgyrrfsVgGBgZubm7h4eGa\ni2JiYrp165acnNynT5+TJ08aGBhkZ2fXqlWLiCq2LW0LCwtr3br1tGnTAgICdF0LAMB/KniZ\nXa1atRISElQfq6r04Ycfnjt3zsrK6uzZs76+vsX2AQCAMlUwoL29vXNzczds2FDs0qZNmwYF\nBRkbGx84cGD8+PHKKz0AAKD8KhjQs2fPFgqFc+fOHTVq1OHDh1NTU9U6dOrU6ejRo0ZGRoGB\ngZ07d650nQAA750KBnSnTp0CAgL09PQOHTo0cuTI69eva/b5+OOPz507Z2trGxsbW7kiAQDe\nRxW/1fvLL798/PjxjBkzWrZsWewNhETUpUuXiIiISZMmsc8cAQCA8qvUszjc3Nw2b958//59\nLy+vkvrY29vv2LEjJSXl0qVLysb4+PhiD7oBAECpih6WZGVl1b17d+XXLVu2YGIaAKB0eJod\nAABPIaABoMYKCwubMmWKm5ubiYmJpaVl586dd+7cqXpzhr+/v0CFUCg0NTV1cXGZPHmy5iNJ\nc3Nzv/nmmwYNGohEovr160+fPj07O1ur9SOgAaAGUigUCxcubNOmzY4dOwQCQbdu3dzd3UND\nQydPnjxo0CDV98ASkbOzc9euXbt27ert7d24ceOUlJSdO3e2atXq5MmTyj5SqbRHjx6bN29u\n2LDhjBkzXFxcAgICunTpIhZz86Lb4mn1UUwlYR+uqpNNa8LT7ABqHvZZzx4eHqGhocrGFy9e\nsE9wVv6+F/s0O6lUunr1aoFAYGJiEhMTwzayDyn97LPPlN2mT59ORFu2bNHeXuAIGgBqmqio\nKD8/P3t7+ytXrrRp00bZXr9+/aCgIEtLy+3btytfBatJX19//vz58+bNE4vFykfC3b17l4jG\njh2r7Obr60tEDx480NZuYIoDAHQuNS3/h+1ha364/SjiNScDBgYGymSyWbNm2dnZqS2ytrb2\n9/dftWoVU9az2xYuXGhiYnL06FF2PsTa2pqIVCemY2JiiKhu3bqc1FwsDt4uAwBQYU+eZnTo\nG5idU0RE360K2bt1wJjh7pUc8+zZs0TUr1+/YpdOnjy5PIOYmZm1a9fuypUrDx8+bN269Zgx\nYzZs2DB//nw9Pb22bds+ePBgzpw5derUmTp1aiWrLQWOoAFAl1ZtusmmM2vuioOY9+YAACAA\nSURBVCuVHzMxMZGIGjduXMlx2Kf1s5MhjRs3Dg4Otra2njJlSvPmzcePHy8Sia5evVqnTp3K\nF1wSBDQA6NKz5zmqX5NS8sQF0kqOmZOTIxKJDAwMKjkO+4yKN2/eEFF2dvaiRYtevXo1a9as\nXbt2zZo1KyMjo0uXLtHR0ZXcSikwxQEAutTcw/7WvVfKr41drE2MKxusNjY2ycnJBQUFxsbG\nlRknNzeXiMzMzIho8uTJ58+fP3/+vI+PD7t08ODB3bp1+/TTT+/cuVPJgkuCI2gA0KXl87zd\nXG3Yz1aWhtvW9678mE5OTkT05MmTYpcmJydr3oRSrKdPnxJRw4YNc3Nzjx071q5dO2U6E1Hn\nzp19fHxCQ0MTEhIqX3OxENAAoEv2tiaPrkw4f2Tk8d1D40K/6NapQeXH7NOnDxGdPn262KWb\nNm3y8PBYvnx56YNkZGQ8evTI3Nzcw8MjMTGRYZiGDRuq9WEf5FnKFXuVpK2AlkpLm0UaN25c\nYGCgljYNANWLSKTn07Xh4I9drWsZcTLg6NGjRSLRxo0b09PT1RYlJSWxt5wMHTq09EH8/f0l\nEsmIESP09fXt7e0FAkFERIRan6ioKNLmlXZcBnRiYuLcuXObNm1qYmIiEoksLS3bt2+/evVq\nzdvVW7VqpXq9NwAAh5ycnGbOnJmZmdmlSxfVG0keP37cv3//tLQ0X1/fpk2blrS6RCLZvHnz\n+vXrzczMFi9eTEQ2Njbdu3d//Pjxjh07lN0OHz4cEhLi7e1dv359be0JV7ck7tu3z8TEpNhN\n2NvbX758masNcQ63egPUPFKplL3Tj4g8PT379u3brFkzPT09IvLx8cnPz2e7sbd6K5/F0aVL\nl5YtW7JRZmRk9NdffykHjImJsbe3J6LevXvPnTu3f//+AoHA1tb2yZMn2tsLbgL6xo0benp6\nAoFg9OjRZ86cSUhISE9Pj4uLO378OHutuIWFhfKWdr5BQAPUSAqF4syZM4MGDXJycjI0NLSw\nsOjSpctvv/0ml8uVfdiAVmVsbOzm5vbll19qRtbLly8nT55cp04dfX19BweHCRMmJCQkaHUX\nuAnovn37EtEvv/xS7NJFixYR0fjx4znZFucQ0ADAT9zMQYeGhnp4eHz22WfFLl22bJmdnd2F\nCxc42RYAwHuCm4AuKCgo5Tymnp5egwYNMjMzOdkWAMB7gpuAbtOmza1btzSvaGFlZWVFRUWV\n8mJZAADQxE1Ar1q1qrCwcPDgwSkpKWqL3rx5M3r06KKiohUrVnCyLQCA9wQ3z+IIDw8fOnTo\noUOHXFxcBgwY0LJlS0tLS7FYHBkZeeLEifT09MaNGx8+fPjw4cOqa23bto2TrQMA1EgCpqyn\nVpdrFIGgAmtxsunKCwsLa9269bRp0wICAnRdCwDAf7g5gl69ejUn4wAAgBI3AT1//nxOxgEA\nACU8zQ4AaqywsLApU6a4ubmZmJhYWlp27tx5586dCoVC2WHRokUCgUAgECxbtqzYEb7++mu2\nQ2xsLNvi7+8veJuBgYGNjU23bt3279/Pbf1cPrD/2bNnT548KSwsVN1/mUxWWFj48uXLY8eO\nafX1twAASgqFYvHixatXr2YYxs3NrVu3bllZWaGhodevXz9x4sTx48f19d9Kv+PHj2tmNMMw\nx44dK3Z8Z2fnevXqsZ/lcnlGRkZISEhISEhsbOySJUs42w1O7keUSCSjRo2qmm1xDrd6A9Q8\nS5cuJSIPD4/Q0FBl44sXLzp06KD6+75w4UIiql27NhHFxsaqDXLjxg36940qT58+ZRvZx3ds\n2rRJrfP58+fZ92wlJSVxtRfcTHH88MMPBw8eJCJXV9eOHTsSUcOGDbt06fLhhx+yHdq1a3fq\n1ClOtgUAULqoqCg/Pz97e/srV660adNG2V6/fv2goCBLS8vt27erPmV/8ODBRHT8+HG1cf74\n4w9zc/OuXbuWZ6M+Pj5Dhw6VSqUcPtaCm4Bm09nf3z8mJubatWtWVlYuLi4hISHR0dFhYWEN\nGzYMDw93cXHhZFsAUNNI8ujVTXoZQvncvJokMDBQJpPNmjXLzs5ObZG1tbW/v/+qVasYlct8\nu3fvXqtWLc2APnbs2IABA4yMyvsaAfZVWxkZGZWo/S3cBHR0dLSVldXMmTOJSCgUtm7d+vr1\n6zKZjIi8vLwOHDggFos3bNjAybYAoEYRp9G9jRQXRPHnKOxHev2w8kOePXuWiNhnHWuaPHny\nt99+W6dOHWWLgYHBgAEDbt26pXovNPuywU8++aT82338+DFx+oIVzh6W5OjoyD4Mm4g8PDwK\nCwvZl8EQUfv27d3d3S9fvszJtgCgRnlxhWSF/319drbyQyYmJhJR48aNy7/KsGHDGIY5ceKE\nsoWd32Bfb1ge+/bt++uvv8zMzHr16vVO1ZaCm6s4rK2t37x5o/zKzmY8fvxY+VKZ+vXrh4SE\ncLItAKhRCt9+zqXkDSmkJDSozJA5OTns+bryr9KrVy8zM7Pjx49/8cUXbMvRo0dLmd8ICAhQ\nprlMJouPj09KShIIBJs3b7aysqpM8aq4OYL28vKKj49XXkXn5uZGRLdu3VJ2iI+PNzY25mRb\nAFCjmDq89dXYtpLpTEQ2NjYSiaSgoKD8qxgZGfXr1+/KlSvsO1Tv37//7NmzUuY34uLiQv7F\nXigyaNCg8+fPT5o0qZLFq+ImoD/99FMi6tWr1+bNmyUSSfv27S0tLX/99dc///wzPT195cqV\nMTEx7/TnBgC8Lxr2IJN/T+XpG5Hr4MoPyZ6se/LkSbFLk5OTIyMjNduHDRsmlUqDgoKI6I8/\n/jAzMytlfkP1MjuJRJKUlHTixImePXtWvnhV3AT0yJEjP/nkk/T09FmzZikUCjMzsxkzZhQV\nFQ0ePNjOzo69bPubb77hZFsAUKMYmFGrr6npRPIYS22/JSunyg/JBuvp06eLXbpp0yYPD4/l\ny5ertfft29fY2Ji9lqP0+Y0qw01AC4XCQ4cOHTx4cOLEiewuLVmyZPbs2ey0homJyfLly0eM\nGMHJtgCgphHoUS0XsnEnfW4mQkePHi0SiTZu3Kj5FpGkpKTff/+diIYOHaq2yNTUtHfv3mfP\nnr17925MTMw7Xb+hJZw9i0MgEIwcOXLHjh3sVz09PX9//4yMjGfPnmVkZHB57yMAQKmcnJxm\nzpyZmZnZpUsX1SdMPH78uH///mlpab6+vspLGFQNGzZMLBZ//fXXpc9vVBkun8WhydjYuFGj\nRlrdBACAJj8/v9TU1N27d3t5eXl6ejZo0CAxMTEiIkIul/v4+GzdurXYtQYMGCASiW7fvj1q\n1Cg+XNfA2RH05cuXBw8e7OTkZGdnZ1sCrrYFAFA6fX39Xbt2nTlzZtCgQWKx+NKlS8+fP+/U\nqdNvv/129uxZExOTYteytLTs0aMHEfFhfoO4eqPK8ePH2cu8S+/GybY4hzeqAAA/cTPFsWLF\nCoZhevbsuWTJkrp164pEIk6GBQB4n3ET0JGRkYaGhkeOHOHwFhoAgPccNwFtaWkpk8mQzgAA\nHOLmJOHAgQOzsrLu37/PyWgAAEBcBfTq1asbNmw4ZsyY8PBwTgYEAABupjjs7OyOHj3q7e3d\nrFkzR0dHe3t7obCY6L99+zYnmwMAeB9wE9B3797t3r07++yohISEhIQEToYFAHifcRPQ8+bN\ny8vLc3FxmTp1qpOTk6GhISfDAgC8z7gJ6Hv37gkEgitXrijfQw4AoCsBAQHTp08vaamlpSX7\n0Gf+4yag9fT07OzskM4AwB8NGzZ0dHTUbDczM6v6YiqGm4Du3LlzUFBQQkJCsf8cAABVb9Kk\nSYsWLdJ1FZXCzWV2fn5+xsbG48aNU30nLgAAVAY3R9BhYWETJkz46aefGjVq1LZt2/r165ua\nmgoEArVu27Zt42RzAFCTiNMyY45fkBYUNuzR0c7Ttcq2279//8ePH+/Zs2fChAnJyckDBgzw\n9PRcsmTJ9u3bJ0+erOyWkJDQqFGj0aNH7927t8pqY3ET0BMmTGA/FBYWXr16taRuCGgAUJP5\n9PmhPpOLcnKJ6MbKrX22LXcbXnVPyn/z5s2QIUNcXV2dnZ0bN248bty4pUuX7t+/XzWg9+3b\nxzDMuHHjqqwqJW4CevXq1ZyMAwDvm9ANu9h0Zl1b9iNXAb1z586LFy9qtn/77bf9+vVjP2dl\nZX366ae7d+9WLu3cuXNISEhSUlKdOnXYln379tWuXZvzF8KWBzcBPX/+fE7GAYD3TU7CK9Wv\n+SnpsoJCfWMO3tb6/Pnz58+fa7aPHTtW9evEiRNVv/r6+l69evXQoUPse64fPHgQGRk5a9Ys\nPT29ypf0rjh7owoAQAXYebw16VzLxZGTdCailStXMsVRnb4gIhcXF9Wvn3zyibGx8f79+9mv\n+/btIyKdzG8QV0fQQUFB5enWv39/TjYHADVG+/mfJd64n/n0OREZWpr32FDVf46bmpqqfjU3\nNx88ePCBAweePn3q7Ox84MABT0/PFi1aVHFVLG4CesCAAeXpxs9XXgGADpnY1hoTsvfVzQdS\ncUHdDi2NalnouiLy9fU9cODAkSNHvL29k5KSZs6cqatKuAnorl27ajbm5+cnJiampKQIhcJJ\nkyZZW1tzsi0AqGH0RAYNurXVdRX/6dmzZ506df7666/s7GyhUDh69GhdVcJNQAcHB5e06ObN\nm//73/+Cg4NDQ0M52RYAgFbp6emNHj1648aNr1696t69e926dXVVCTcBXYqOHTvu27evc+fO\nS5Ys+eGHH7S9OQAAVkmX2RHRhg0bWrVqVcq6vr6+/v7+L1++XLVqlXaqKxetBzQReXt729vb\nHz9+HAENAFWmpMvsiCgrK6v0dT09PZs0aZKQkDB06FDuKyu3KrrMTi6Xp6WlVc22AOA999VX\nXxV7gZ0Se9dJUFAQwzDFvu06JycnPj5+6NChun30XVUE9I4dOzIyMpycnKpgWwAAlbd27drC\nwsIpU6botgxupjjmzJmj2cgwTGFhYUREBPt0jk8//ZSTbQEAaE+XLl1evXr17Nmz7t27d+nS\nRbfFcBPQGzZsKL3D4MGD2fsmAQD4zNra+t69ez4+PoGBgbquhaOAXrhwYfGj6+vb2tp26NCh\n9BOmAAA8ceLECV2X8B9uAlq3V6IAANRIeFgSAABPVcV10DVYoUzxKFVsIBS0qG0qVH+BDABA\npSCgK2h/eEZQTNbF+DdpYhkRtaxtcnZMY3tTA13XBQA1R42a4pBKpevXr3dzczM2NnZxcfHz\n85PJZJxvpUjOuAb8PeZ43IGITDadiehBivjzoOePUsVyhrn4LGfE0dhRR2NvvszjfOsAUKYd\nO3YIBIJly5ZpLsrOzhYIBJ6enqqNp0+fHjx4cO3atUUiUe3atfv163fkyJFiRw4LC5syZYqb\nm5uJiYmlpWXnzp137typUCi0sRdUw46gJ02aFBgY2Llz5/79+1+7dm3RokXh4eEHDx7kdiur\nriXFZhZqtp+IzjoRnWWoJyyS//PTOhSR+UUr+5/7NeS2AADg0Lx589atWycQCFxdXV1dXV+/\nfn327NnTp0+PGTMmMDBQ+fJrhUKxePHi1atXMwzj5ubWrVu3rKys0NDQ69evnzhx4vjx4/r6\n3MdpzTmCvnDhQmBg4Lhx465everv73/r1q2RI0ceOnTo/PnzHG4lX6rYdDu5lA7KdGZtC3u9\nLzyDwwIAgEP3799ft26ds7NzeHh4dHT0tWvXoqOjw8PD3dzc9u3bx75OhbVixYrvv//e3d09\nNDQ0Kirq9OnTt27dio2N7dChQ1BQkJaeGV1zAjogIICIlH/UCIXCtWvXEtH27ds53Mruh+n5\nknf7c2bs8TjhilDT1feORmVyWAkAVN7Zs2eJaNmyZR4eHspGd3f3X3/9lf593xURRUVF+fn5\n2dvbX7lypU2bNsqe9evXDwoKsrS03L59e3JyaYduFVNzpjiuXbvm6Oio+sQP9mspz6p+V1IF\ns+lOSgVWZIjEUsXwI7Fft/tgc29HXO4BoCo1K+1Q8F/iooKP237U3Mm96gvQfLhdx44d165d\nq8yTwMBAmUw2a9YsOzs7tZ7W1tb+/v5ZWVnaeGNUDQnozMzMrKwsLy8vtfZGjRpdunQpKyur\nVq1aldxEvlRhsz6sSFapn8EPd1L1BIKNvRpUshiAGuPJy9gOXw/MzntDRN/tXL13/o9jegyp\nsq0PGDBg8eLFCxYsKCwsHDNmTJ06ddh2PT29uXPnKruxB9r9+vUrdhC1t9ByqIYEdEZGBhFp\nPjbQ0tKSiHJyclQDOi8vT/nKXiJKSEgozyY+3h9dyXRmbbqd0qORRT/XYp5wCPAeWrVvC5vO\nrLnbV3EV0L///rvmH9BqV3Y1bdp027Zt06dPnzt37ty5cz08PLp27dqzZ89evXqpvkw2MTGR\niBo3bsxJYeVXQwJaKpUSkaGhoVo721JY+NZFFxkZGZ9//vm7biIsWVyJAt+y4VYKAhqA9Sz5\nherXpIxUcVGBiaFx5UdOSEgoz+HXlClTunfvvn379pMnT0ZERERERGzdutXc3HzBggVz584V\nCoVElJOTIxKJDAyq+kaHGnKS0NjYmIgkEolae1FREWm8Vt3Ozu6wijVr1pQ5fp99T8QSeRmd\nyj0DlZovLWdPgBpPbdK5cX1nTtKZiJYuXar5qP5i36Xi7Oy8Zs2ayMjIpKSkffv2jRkzpqio\n6Lvvvps1axbbwcbGRiKRFBQUcFJY+dWQgGZnMHJyctTa2RZ2okPJxMTkExXsuxVKEZkmPhf3\npvQ+REQCjZN/BcUHcZcG5mWPBvB+WO47262+C/vZysxi24yyD5i4JRb/98exg4PD6NGj9+7d\n++jRIxsbm4CAAPbaDPZs4ZMnT4odITk5OTIyUhu11ZCAtrKysre3j4+PV2uPj4+vU6eOhYVF\nZQbffOd1BdfMLeZ+FhsT/YRsyaIriSl5OI4GIHsr20e/Xji/Zv/xZTvi9tzs1rxDlW26qKjI\n2Ni4U6dOmovc3NxGjhwpl8vZUO7Tpw8RnT59uthxNm3a5OHhsXz5cs4rrCEBTUTe3t6xsbGv\nXr1Strx48eLZs2cdO3as5MhCSUWT1L6YI+UMsexMXLbftaQ6mx588kdMkZz7S3MAqheRvoFP\nqy6DO/WxNq/SczOGhobOzs6PHj26f/++5tIXL14Qkb29PRGNHj1aJBJt3LgxPT1drVtSUtLv\nv/9ORNp4vWzNCWhfX18iWrBgAXs1IsMw3333HRFV4HygqsdP0natusJJhWoYhv6IzG7162Nt\nDA4A5TF79myGYQYMGHD8+HHlBR6FhYV+fn6nTp3y8vJib2BxcnKaOXNmZmZmly5dHjx4oFz9\n8ePH/fv3T0tL8/X1bdq0Kefl1ZCrOIho4MCBgwYN2rNnT1xcnLe397Vr127evDl27Ngyp5hL\nt2HrXUliFgXHkLcL6QtJIiOhkPQ5+x9bRKo4KbOgjjU3Z0UA4J1MmDDh0aNHW7ZsGTp0qJWV\nlZOTk0KhiI6OLigocHBwOHDggLKnn59famrq7t27vby8PD09GzRokJiYGBERIZfLfXx8tm7d\nqo3yas4RNBEdOnRo8eLFr1692rx5c3p6+vfff79z585Kjvk4Kp2I6PEr2n6Vfr9J26/T63Kc\nMCwPBUMSOQkE81aGcDMgALy7zZs3X7p0afTo0VZWVlFRUU+fPnVxcVm8eHFkZOSHH36o7Kav\nr79r164zZ84MGjRILBZfunTp+fPnnTp1+u23386ePWtiYqKN2gTauD2xegkLC2vduvW0adPY\np3moGTn5z8MnVU7dtmpAHZwru0mG6GYc/Z1IcgXZWzgIFEnh0yo7JtRI4teUn0riNMqIIEZB\n1k2oQVfSU7/eH2qqmjPFoSUrv+t89FSMnH1GnZ6Q2jbiYNCIJHrw78X5r99kGupxMCbUJAoZ\nvQim5DskzX+rPT+Vsp6Q13QiPNDlvVCjpji04UNn6xO7h9apa0FEonpWpFfufzG1P01S3tDr\n3H8+v3jrsXZFRfKU12//HsJ7LvoYvbhM0nwijT9w81Io5k9d1AQ6gIAuW/9ezq8efFmUOCfl\n2sR3WE3tvpX0PIpL++ez4Vt/uAiFAjO8KwuUCjIp7dG/X4o7Uk4JrcJqQJcQ0OUlEunVMtIz\nLv8RtBpTEdlb0LM0KpSRu4PqkjHD3M1MRRyUCDVDwsViDpzVxJyk/NQqqQZ0CXPQ72DF1VeF\n7GR0bhHFpFBKDjlYUrP6ZV91l1tIV2Mot4iIyEifBjSnIS3pUWLLWgbDe7vM+rJNGavDe6Ww\nHK/gSblNKbfJdTA5tNV+QaAzCOjy+jtVvDT4FRFRTgEdukvss5PiMyg5h/o1K2Plm8/+SWci\nsjCm3EJysae6VuFCYabQQHwzZWHnOsbcXVsN1ZuhNdHLt1qYEk4KxgVR7VYkwEnmGguhUF73\nkv89j5dbSK0a0gf/Pt8jPoNyi/7LXzUyOaXnUca/pwfrWtGI1uRi/89ChSIhu8jvWtLMsy+K\nXx3eQwUab+0p6ZINhYzeJBKjrVdKg84hoMvL1sSA3hQQEdWrRa0a0CetqPEH/yxLyqLdNyn0\nObEP1pDIKCKJnqbSw0Taf5cO3iX9f49x6ljRvQR6+poUb00y7n+cIX/vL0gHIiJ5EeWV9+Fc\nDNGVP5cv8xsccf8vrRYFuoKALpciOTPlRBxZvH1DdrtGREQmIjI0ICIKjadd1+lAKP12k65E\n07lIuv70n0yXyEmkR0R09zndfkbnIujPhyoZzUjlCgXyGYgo+1nZZwj/JSD6qGHt7g3tWy/8\n6urxRfToV3oZQgpZ2WvWdGvWrBEIBB07dlQo1P+8kMlkAoGgdevW7Nf58+cLBIK9e/eqdUtI\nSGjQoIFAIJg3b15VVFwCBHS5zDyb8LpQ44H9pkYkFBARxaSQnoCIqFBGGfkk0+gpLiIfj7da\nXmXTszTKLSAiKpD2+9DKQIhbD4BImlt2n7d1aWDvbG22+tx5yn5O8ecoDkfT/7h161bFHpGR\nlJTUo0ePly9fzp49e+3atZwXVn4I6HI58bC4vzrTc0nBkFhCMa9LPI3DkijofIR646ssOhlO\nUSkWz9M2dKvLYbVQjb1+RFT+Y+h/WBsZ6ukJ//kvMCWMmLLe/vPeWLBgAfs6wfJLS0vr2bNn\nXFzczJkz/f39tVRYOSGgyyYukKbeVH8VAEnldCX6v68KhprWo/olvTucIanG70x4EmXl06Wo\nN5divl9zlbNyofqS5lN2PNE738h9eWyvoJHd//nCKEhWzJsi3kMtW7bMzc2dOnVq+VfJzs7u\n1atXVFTUV199tWnTJu3VVk4I6LKduRTPxKXTq2wKjae/X1GRjIjo5CNKz3urn0RGFX36ftD5\n2EqXCdVcfirFn6nYqvpq909FHahel3Zkv37z58+XD288+yz83Y52S/fNN980bdr0r7/+Onz4\ncHn65+Xl9enT5+HDh1OnTv3xxx85rKTCcB102U5diKXMPDr+71O6w56T6weUrP7+Q6pXix4n\nVWwT+vq4lPX9lhlDEXs4S9XsZ5RylxzacTOalr2MSZnVfU1+jpiIfl967Nsdkz4ayU3lBgYG\nO3bs6NChw9dff+3j48O+ubQkBQUF/fv3v3Pnzueff17sgy11AkfQZTNUe9pcvoQe/nsfAXtm\nT0DUxIEa1yYn24ptQiaTS6XV6ZAHOMVQ9BGOj3nT/uZyNG06uO4Um86s3xYf5XDwtm3bTp8+\nPTU1dc6cOaV0k0gkQ4YMCQkJIaKePXsKNF8ArSMI6LK5NCz5f7zsxcsMUUwqRSaRe51/Lqd7\nR8mp+Y8iKvpqWqjuXt1Wf6wovfN5QnV5FfxjruqlxKepfs1Izi4SSzgcf9WqVQ0aNPjtt9+u\nXCnx3XULFiw4d+5cnz59BALBF198kZTEl389BHTZpk9uJSzp30n5WyRXUHAMHQ375xbwdycu\nwEu+30vSPHp2qpj2Sh7DySTVZRq6UdP6ql/rudY2NOHy2WFmZmY///wzEX322WeFhcWfPk1N\nTR0/fvzp06enT5+ekZExYcIEnrzJBAFdtktXEzSudi8Ow1CWuOxuxdETClo1r12xdaF6e/JH\naUla8ZQQkKB6/HaPXTiw/of//Mdvamny1ZYxnG+ib9++//vf/2JjY5cvX15shxEjRuzcuVMg\nEKxevdrV1fX8+fM//PAD52VUAE4Slu2HHfe0vYl+vZxNTfBI6PePrICy37qA59qL1KNRLwz0\nhN0b1v7tUez1F6me9tanRn0k0nu3qbNksdSh7F68YGVn/tOtJeHXYwrFEs9Orua1TLWxlc2b\nN587d87f33/48OGaSwcMGCAUConIxMRk165dXbp0mT9/vo+Pj7u7uzaKKT8EdNly87Q7+WBu\nLtoT0F+rmwCeyktSPXze83ec75832M/+tyKIyMRAv5eTQznTObtAIhAKcgol2+7HdHWs7aCQ\nkrB6/F9fX6Tfsrt2o9De3n7Dhg0TJkyYMmVK6T07deo0c+bMjRs3jhkz5s6dOyKRLp/VjoAu\nm3fbujdCubw8U5Wbi/WJPcMsLfAa0PeS4q0zFsPcHJva1/ru8v1zcUlEZKSvF/nlQEdLs9LH\nyCmSTj9z59iTFzJGUSRTEJGlocHs9h6kkFeXgK4a48eP37dv38WLF8vsuWrVqlOnTj18+HDR\nokXr1q2rgtpKUj1mqXRrxOAm2hh26gSvK8f/F3VzSmMXa22MD9WA6K3Hb5mK9FvWtj7+yUcf\n2lgQkZWhqMx0JqKvz4YGhj/Ll8rYdDbU02vhYPPDo+TMAtxPqG7btm3GxsZldjM2Nv7999+F\nQuGGDRuCg4O1X1eJENBla9rEztPNjtsxJ/yv6U9rfbp1asDtsFDNmBRzZtjYQK+vS10ialuv\nXJfVBz1968+7Irk85HnKigshHb4emFeAlxG/xdnZedmyZeXp2b59+9mzYsuX0gAAGAxJREFU\nZysUCl9f3+zsbC3XVSIEdNkMDIRB+4ePGtLEsZ4FV0e7HdvW42QcqN6EBmRbzN9ncgVTy0g0\n2qNRKatK5f9MXhuW8J7MmMRnf92+UPkaq6P58+czDDNq1CjNRXPnzmUY5t69f878r1mzhmGY\nsWPHavZct24dwzAJCQlWVlbaLbdkCOhycaxnceCXgc/vfxl8YrSQi7uMpnxz5vjpmMqPA9We\n2ygSmas25Etkxgb61saGloYap4gY+vt19onol6RyAd7Kj1qWNPa9mGpzPyEUCwH9bmrbm65Z\n3E2vuGOWti1rv1Nyz1xwiauqoBoTGrx2/fSH0CdPM3MT34gvP0/pvf/iupuPjQ30eju/9WfW\nyGMhP9+PJoZpUbsWEYn+/Y/Qt5mTnYlRsWP/cGKnoprcrgLFwlUc7+zbr9qOG+Hxd+TrhvUt\n0zLEe49EyhWKEYPcenZpOPjT43+eLe9x8avUPIWCEeI5/e89e5u6/vcTF155kCf574LOdHGh\n6p9qeRKpT6M6k1u6sl+f5+RJZApna3M9gUBfKGxb1/bU02IuNJLJ5Ev3bFjp+62W9wC0BQFd\nEbXtTWvbNyKiD52tO6nMJv+yoVdGtvj67bd+VfT1hc097O7/nap276iToyXSGVi7vt348Xdv\n3UEnUzAMQ2xGS+SKL07f+fnjdkT0pkgy9EjIpfhkIvK0szo2opurtcWbohIv1V9zIGBCr5FO\nDjgdXS1hioNLH9iZXjs55upfY+ztTNgWezuTe+d9710YX/BijqvTfw9dMjAQ7v6xn47KBN7p\n0dK7RSM31ZZhTRxlDENEb4okj9Oy4rNz9YVCIloc/JBNZyJ6nJb9WdCtW4lpCkZuYWhA/z5d\nUZVMLv/llPoL96C6wBE09zq3qxd75/OQmy+FQurasQF7D7ehoV7Etcm7Doafv/KsroP5om86\n2tma6LpS4JHvxs44fGT11RcpUjnzibvjup6tnqTn/BgatfNhrIJhGttYPkzN7FDP7vrLt579\ndu3F6977LxJDozwbLunc/Hl27viTN+Oycg30BK1q29x+lU5Efz+L1NE+QWUhoLXC3EzUv5ez\nWqOBgfCzcc0/G9dcJyUBz+nrGVx7kbprYKcejRykcsX2+0+XX32YUfDPgzejM3IGH76SMGO4\n7dtPepMzTG6RVCAQ9HWuW8/CpJ6FSexXQxLfiG1NDFffeMwGtLgId6xUVwhoAF4QkOBVrrj3\nvotG+npSuUKu8bjL1/mF28Nizsclq7UbGegVSuWF8v+u1qhnYUJEN1++FukJJXKFsQgPEqiu\nMAcNwAudPNuwpwQLZXLNdGatvP5IrUUoEGzyaWOkr3cm9pVqe1Ku+NLzZDORARF19GitlYpB\n+xDQALxQy8yymdM/T3SzNzXq7VRHrYNAQGn5RWqNCoaZeua2haFob3jc+puPpXKGiB6nZfc7\ncJlhKLOgiIg6ebTRfvmgFZjiAOCLM9/v7fHtyNdpL8Im998SGnXu2VsvXirpFR8MQ6/zC4ho\n7qX791Iyn2Xm3kvOUO2QmauzR0lAJeEIGoAvHKztz6/ZP6hx/c9O3dp4O6ICIxyJfK6WzkTU\nwsmDi+pAB3AEDcAjdW1rX0l4HZ/1pmKrax5lCwUCpzq4S6W6whE0AI+kv8nUTGdBJd4gO6bH\nUD1hRd40D3yAI2gAHrkT9VCzkanQu2MtTM0nfTwKD+Ko1hDQADzyMu1V2Z3KYah33yNLtgmr\nyYu9oST4+QHwyOCOfQRcPHB8wxeLkc41AH6EADziYGO/4H/TKxnR9e3qONrjlT01AQIagF9W\nTZibfOiBR8PGFVtdZGBwcuUuTg7DQecQ0AC880Etu1OrduvrVeQU0S8z17ZwxoXPNQQCGoCP\nHD+o1+iD+hVYcVDH3pwXA7qCgAbgqZfpSWV3elvrD5vVMrPURjGgEwhoAD5iGKZIInnXtSxM\nzcvuBNUHAhqAjwQCgb7+O89Bp2Smld0Jqg8ENABPdfJ85+c4t3NrqY1KQFcQ0AA8dXjhNqN3\neRlKC2ePNZO/0149UPUQ0AA8ZWdl83L/3Qm9R9hb2ZTZeemn39zbetreyrYKCoMqg4AG4C9b\nS+vf5mxMOfywcX31dxCriX7xDE+tq3kQ0AB8JxAIwn+99POM1UO8P6YSbhF0rdeoiquCKoCA\nBqgGDPT1v+g/7tjS7SO69tdcKhAIZw//vOqrAm1DQANUJwcXbF08dmY92zqCfx9WZ2pkHLnz\nkiWugK6J8DxogOpEIBCs8J2zwncOEeXk5xro65sYGuu6KNAWBDRAdYWj5hoPUxwAADyFgAYA\n4CkENAAATyGgAQB4CgENAMBTCGgAAJ5CQAMA8BQCGgCApxDQAAA8hYAGAOApBDQAAE8hoAEA\neAoBDQDAUwhoAACeQkADAPAUAhoAgKcQ0AAAPIU3qlSp+5ejtn17QJxT4N7Bec6vE0XGIl1X\nBAD8hYCuOlu+Cjy3+xr7+fqJ+7dOPTqeGqBvoKfbqgCAtzDFUUX+vhqtTGeWXCofXneGQq7Q\nVUkAwHM4gtaulIT0Y1vOv36ZmRCVpLlUUiD5+dtD0zb+r+oLAwD+Q0BrUUZy9syu37/JyCul\nz5nfgodM61HH2T46NjM2PqtpE7sG9SyqrEIA4DMEtBaFHLlbejoTkULObJq6u6Bli59+u09E\nIpHeyvmd537VrkoKBABewxy0Fr3JLCOdWRE3n+7deZP9LJHI560IjonL1GZdAFA9IKC1qHmX\nxuXs2UjyxkpRZMpI2a/3/07VWlEAUG1gikOLWnZ3t3GwykjOZogEpfZ0UOQ6FOUSUZbQKFRU\np2EDy6qpEAD4DEfQWrRkyA8ZydlUVjqrqqUo/NiuoJ1XHe1VBQDVBQJaWzJTcu5dfFyBFUUZ\nmYLyJzoA1FwIaG25d6Ei6UxEheKiv7Zd5rYYAKiOENDacmDNXxVe9+dvDz64EsVhMQBQHSGg\ntUIhV7x+kVWZES7uvclVMQBQTSGgtSInPY8hpnx9S+gmKOfqAFBjIaC1otYHFua1TMvXt/gT\ngl2Ht+WwHgCojhDQ2jJv12Sq0NUYQj1hQ4+65c53AKixENDa8vfVaGIqMk2hkCueR7z6bsDG\nYh+ABwDvDwS0VjAME7Q9mP183bDebcM6ine4W4WISFIgDT4cyn1lAFB94FZvrZAWyQrFEvaz\nlyTFmOSC8p4z/M/jW0+5rgsAqhMcQWuFyMjAvZ0z+9mEkQkqMtfBRN58WpBXyG1hAFCNIKC1\n5Ztt4y3tzMvfXyPCBQxDDy4/4bImAKhWENDa4tDIbuCXPcrfv9gpamMLQ67qAYBqBwGtRe7t\nnN59pbeOpN1aNeKqGACodhDQWrR+4k6NiYsyJ6PfOpJOe1Wp+8UBoFpDQGtLQX5RZmqOxsTF\nu11sF4ELOQDeYwhobRHnFFR+EEvbdzjNCAA1DAJaW2zqWNV2tK3UCA5WrXt6clUPAFQ7CGgt\nWnxwqn1963daxczKxNLO3OoDi06DvH4OXSYyNtBSbQDAf7iTUIsaedb7PXJNRnK2TCqXFcke\nBEe9ycjNfp1bKJYkx72ODI1lFG/1X3rgq3b9m+moWADgHQS01tk4WLEf6rp+oNr+JjP/5sn7\nDy9HprxIr/+hw6CpPV1aNNBFgQDAUwhonbGwNu0zvnOf8Z11XQgA8BTmoAEAeAoBDQDAUwho\nAACeqpYBnZ6ebmtr6+/vr9YulUrXr1/v5uZmbGzs4uLi5+cnk8l0UiEAQOVVv4AuLCwcPnx4\nRkaG5qJJkybNnTvX3t5+2rRpNjY2ixYtGjt2bNVXCADAiWp2FUdycvKwYcNu3bqluejChQuB\ngYHjxo3bs2cPESkUitGjRx86dGjixIm9evWq8koBACqrOh1B//LLL+7u7rdv3+7Zs6fm0oCA\nACJatmwZ+1UoFK5du5aItm/fXoU1AgBwpjodQf/44492dnZ//PFHbm7uxYsX1ZZeu3bN0dHR\nyem/RzCzX4ODg6u0SgAAjlSnI+iNGzdGRET06FHMa0oyMzOzsrJcXFzU2hs1apSenp6Vhacq\nA0D1U52OoEuZSmbPGVpZWam1W1paElFOTk6tWrWUjWlpadOmTVN+RXwDAD9Vp4AuhVQqJSJD\nQ/U3+LEthYVvvRtbLBYfOXKkymoDAKiYGhLQxsbGRCSRSNTai4qKiMjU1FS1sX79+pmZmcqv\nR48enTJlyo4dO/bv36/9SgH4JTQ0VHNuEHji/+3df0wT5x8H8M/VtlQcWgUqEBhb41RcjUq1\noMBmt2ULC8o2ScTFKSNzhGXLfrDEHwE3k82ZuCxzm4YluiwjIVi2yTLcIgtm8ccM0Q7EnEQC\ndIpMNM0GAq1O2/v+caS7b9EbLbT3lL5ff3nPrneffjzee7xreZgL6MbGxm3btklHfv/9d61W\nK/8q8Q7G4OCg37g4It7o8FGpVNI7HgkJCRqNJjY21uv1Dg4OpqSk6HS6ibyFyXL9+vWRkZEH\nH3xQrWbir6mvr+/27dvSx7DKunz5skqlSktLU7oQIiJBEBwOx/Tp05OTk5WuhYjozp07vb29\ncXFxiYmJ8nuqVJH0ICrqCIypqanxq9Dtdvvtc+TIESLau3evdNBgMMybN89vT6PRmJKSMs5T\nv/POO0R0+vTpoIufXOvWrSOiq1evKl3IqBUrVkybNk3pKv5lMBiMRqPSVYxyuVxEZLValS5k\nVEdHBxGVlJQoXQhMCHP/89y4caNfieOcz+bm5nZ1dfX19flGrly50tPTs2rVqpAVCwAQQswF\ndNA2b95MRDt27BAEgYgEQdi+fTsRlZWVKVwZAEBQmLi5OSnWrl1bWFj4zTffdHd35+bmnjx5\n8rffftu4ceM9v3YIAMC+qTODJqLDhw9XVVX19fV9+umnTqdz9+7dhw4dGv/LU1NTzWbzAw88\nELoKA2I0Gs1ms0bDyrqxCxcuzMzMVLqKfy1ZssRkYmXVc5VKZTab58+fr3Qho3Q6ndlsTk9P\nV7oQmBBOvCEAAACsmVIzaACAqQQBDQDAKAQ0AACjENAAAIxCQI9ic53Dt99+mxujuLg4bAWI\nmFrskZGeEHvXzP3qYadjEKip8znoiZBf57CmpiYvL6+goODkyZOVlZUXLlyoq6sLT2Ht7e0a\njeaxxx6TDi5evDg8Z/dRtgl+GOkJa9eMTD2MdAyCEf5vl7Pmzz//XLlypdgNv9/v0dTUREQv\nvfSSuOnxeNavX09Ex44dC09tiYmJy5cvD8+57kfxJvhhoSesXTMy9QhsdAyCE+0BXV1drdfr\nOY4Tv3Dod3GvXbuWiLq7u30jf/zxBxEVFRWFobZr164RUWlpaRjOJUPZJvhhoSesXTPy9bDQ\nMQhatN/iYHmdwwsXLhDRkiVLwnAuGUwt9shCT1i7ZuTrYaFjELRof0jI8jqH7e3tRHTz5s1n\nnnlm9uzZc+bMKSoqunTpUqjPK6V4E/yw0BPWrhmZeoiNjkHQoj2gn3766fv9sov/XOcw1LWJ\nc5+qqqqRkZH8/PykpKTvvvsuKyurra0t1Kf2UbwJfljoCWvXjEw9xEbHIGjRHtAyAlrnMBQG\nBgZiY2MbGxtPnTpVW1vL8/yuXbsGBwdLSkpCfWofxZvgh4WeyGCtXcR8x0BetN+DlhHQOoeh\n0NDQIAgCx3HiJsdxVVVV9fX158+f53n+0UcfDXUBxEAT/LDQExmstYuY7xjIi4oZdGNjo+n/\njf0RGiugdQ5DVJ7v58q3abFYiMjhcEzW2eWFrQnjp3hPZDDYLmK7YyAvKmbQAwMDPM9LR7xe\n73++Sq/XGwyGsRexw+FISUmZOXNmSMu7e/duZ2enIAh+cxzxH9HiTC0MwtaE8WCkJzKYahdF\nQsdAXlTMoBlf5/Ce5Q0NDZlMpvz8fOmeHo+npaVFrVYvXbp0EguQx85ij+z0RAY77aII6RjI\niIqADpqC6xzOnj37iSee6O3t3b9/v2/wo48+6uzsfPHFF+Pj40NdgA87iz2y0xMZ7LSLIqRj\nICeU34KJJEeOHKF7fU22sLCQiHJycrZu3SpOgsZOeEPk4sWL4j3NZ599tqKiIi8vj4gyMjKc\nTmd4CvBRsAl+2OmJwN41c896mOoYBAoBPep+P2y3bt2qqqp66KGHYmJi5s+fv3v37tu3b4et\nqp6enk2bNs2dO1ej0aSnp1dUVAwMDITt7D7KNsEPIz0R2Ltm7lcPOx2DQGFNQgAARuEeNAAA\noxDQAACMQkADADAKAQ0AwCgENAAAoxDQAACMQkADADAKAQ0AwCgENAAAoxDQAACMQkADADAK\nAQ0AwCgENAAAoxDQAACMQkBDtBgeHk5LS3vuueeULgRgvBDQEBUEQSgrK7t69arShQAEAAEN\nU5/H4ykvL6+trVW6EIDAqJUuACC0ent7X3755ebmZqULAQgYZtAwlf38888ZGRnNzc1Go3HH\njh1KlwMQGAQ0EBFVVlZyHPfuu+/6ja9evZrjuMbGRnFzz549HMd9/fXXPM8///zzc+bMmTVr\n1lNPPWW324nI6XRu2bIlKSlJp9NlZmY2NDRIDyUIgs1mKygoSEpK0mq1er0+Ozt73759d+/e\n9e0jHr+6uvr06dNWqzUuLs5gMBQUFJw5cya498XzvNvtfvXVV9va2jIyMoI7CIBSENAQsHPn\nzmVlZf3www9qtXpoaKi5udlqtba2tlosloMHD/7zzz+CILS2tr7wwgvHjx8XXyIIQnFx8fr1\n648ePTp9+vRFixZxHNfS0vLWW29t3rzZ7/i//vqr1Wq12+2rVq1KTEw8evRoXl5ecHeQs7Oz\nz58//+WXX8bFxU30bQOEHQIaArZ///6lS5d2d3ffuHHjypUr8+bNGxoaysnJiYmJsdvtf/31\n1/Xr15988klBED777DPxJTabzWazxcfHnz171uFwtLW1OZ3Ojz/+mIhqa2sdDof0+IcPH7ZY\nLD09PceOHeN5/sCBAx6PZ8uWLX19fYGWmpubazKZJuVdA4QfAhoCptPpvv3224cffpiIUlNT\nX3vtNSJyu902my0zM5OI9Hr9zp07iai9vV18yS+//MJxXGVl5fLly8WRadOmVVRUPPLII0TU\n0dEhPf6MGTPq6+sTEhLEzfLy8g0bNrhcrs8//zxM7xCADQhoCJjFYklKSvJtGo1GIkpPT1+8\neLFvMDU1lYiGhobEzYMHD7pcLjHKfbxeb2JiIhHdunVLOr5mzZrk5GTpyKZNm4jop59+mtw3\nAsA4fMwOApaWlibdjImJISKDwSAd1Gq1RCQIgm9Ep9MNDw+fOHHi0qVLXV1dPM+fO3fu77//\nJiKv1yt97bJly/zOuGjRIiLq6uqazLcBwDwENARsxowZYwdVKrl/jXm93g8//PCTTz4ZGBgQ\nR3Q6XU5OTldX1+XLl/12njVr1j3P6Ha779y5o9Fogi8dIKIgoOFf0gmvaGRkZOxuHMcFeuRt\n27bt3btXq9W+8cYb2dnZJpMpIyNDo9E8/vjjYwPa5XL5jQwODhLRzJkzkc4QVRDQQESkVqtp\nzL1gIgrigxNjud3uL774gohsNlthYaH0P/X394/d/+LFi34j4sNGfJAZog0eEgIRkfiRCZ7n\npYNnzpy5du3axA/e39/vdruJKDc3Vzre2tra2dlJRNLvqhBRQ0PDzZs3pSNfffUVEfmFO8CU\nh4AGIqKVK1cS0YkTJw4dOiSOnDp1asOGDfJ3lscpOTk5NjaWiKqrq32DZ8+eXbdunfhnv5m7\n0+ksLi4Wnx96PJ7333//xx9/NBgM5eXlEy8GIIIgoIGIyGw2r1mzRhCEV155JSEhYe7cuXl5\neVqttrS0dOIH1+l0W7duJaLKysqFCxfm5+ebTCaLxdLf35+VlUVEvb290v0XLFjQ1NSUmpq6\nYsWKlJSUXbt2xcXF1dXV6fX6iRcDEEEQ0DCqvr7+gw8+WLBgwfDwsEajef3111taWuLj4yfl\n4Dt37qyrq8vKyrpx48bx48ddLldpaWlra+t7771HRN9//71059WrVzc1NS1btoznebVaXVJS\nYrfbrVbrpFQCEEG4sQ/uAZSyZ8+e7du3l5WVSW+GAEQtzKABABiFgAYAYBQ+Bw2RxG6319TU\njGfPN998U/x1TgCRCwENkaSjo2Pfvn3j2bOoqAgBDZEODwkBABiFe9AAAIxCQAMAMAoBDQDA\nKAQ0AACjENAAAIxCQAMAMAoBDQDAKAQ0AACjENAAAIxCQAMAMAoBDQDAKAQ0AACj/gdWMlYW\nqWycnwAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p_Cicero2 <- plot_umap(df_umap_Cicero2,labels = labels,colormap = colormap,title='Cicero after PCA')\n",
    "p_Cicero2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### SnapATAC"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [],
   "source": [
    "calJaccard <- function(X_i, X_j){\n",
    "    A = Matrix::tcrossprod(X_i, X_j);\n",
    "    bi = Matrix::rowSums(X_i);\n",
    "    bj = Matrix::rowSums(X_j);\n",
    "    jmat = as.matrix(A / (replicate(ncol(A), bi) + t(replicate(nrow(A), bj)) - A));\n",
    "    return(jmat);}\n",
    "normJaccard <- function(jmat, b1, b2, method, k=15){\n",
    "    # estimate the expected jaccard index using OVN\n",
    "    #' @importFrom raster focal raster\n",
    "    .normOVN <- function(o, p1, p2, k){\n",
    "        # sort the jaccard index matrix based on the coverage\n",
    "        ind1 = order(p1);\n",
    "        ind2 = order(p2);\n",
    "        o_srt = as.matrix(o[ind1, ind2, drop=FALSE]);\n",
    "        # calculate expected jaccard index\n",
    "        mask_mat <- matrix(1, k, k);\n",
    "        exp = focal(raster(as.matrix(o_srt)), mask_mat, mean, na.rm=TRUE, pad = T);\n",
    "        ee = raster::as.matrix(exp)[order(ind1),order(ind2),drop=FALSE];\n",
    "        return(ee)\n",
    "    }\n",
    "\n",
    "    # estimate the expected jaccard index using OVE\n",
    "    .normOVE <- function(o, p1, p2, k){\n",
    "        pp = tcrossprod(p1, p2);\n",
    "        ss = matrix(rep(p1,each=length(p2)), ncol=length(p2), byrow=TRUE) +  matrix(rep(p2, each=length(p1)), ncol=length(p2), byrow=FALSE)\n",
    "        ee = pp/(ss - pp)\n",
    "        return(ee)\n",
    "    }\n",
    "\n",
    "    jmat[jmat == 1] = mean(jmat);\n",
    "    x = jmat;\n",
    "    emat = eval(parse( text = paste(\".\", method, \"(x, b1, b2, k)\", sep=\"\")));\t\t\t\t\n",
    "    if(method == \"normOVE\"){\n",
    "        data = data.frame(x=c(emat), y=c(jmat))\t\n",
    "        model = stats::lm(y ~ x, data)\n",
    "        nmat = matrix(model$residuals, nrow(emat), ncol(emat));\n",
    "    }else if(method == \"normOVN\"){\n",
    "        nmat = jmat - emat;\n",
    "    }\n",
    "    rm(jmat)\n",
    "    rm(emat)\n",
    "    return(nmat);\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [],
   "source": [
    "run_SnapATAC_normalize <- function(se){\n",
    "    binary_mat = as.matrix((assays(se)$counts > 0) + 0)\n",
    "    binary_mat = Matrix(binary_mat, sparse = TRUE) \n",
    "    mat.use = t(binary_mat)\n",
    "    # max.var = min(1000, nrow(mat.use));\n",
    "    set.seed(2019)\n",
    "    # mat.ref = mat.use[sort(sample(seq(nrow(mat.use)), max.var)),]\n",
    "    mat.ref = mat.use\n",
    "    jmat = calJaccard(mat.use, mat.ref)\n",
    "    p1<- Matrix::rowMeans(mat.use);\n",
    "    p2<- Matrix::rowMeans(mat.ref);\n",
    "    nmat <- normJaccard(jmat=jmat, b1=p1, b2=p2, method = 'normOVE', k=15);\n",
    "    args <- list(A=nmat, nv=50)\n",
    "    args$center <- colMeans(nmat)\n",
    "    x.norm = sweep(args$A, 2, args$center, FUN=`-`)\n",
    "    return(x.norm)\n",
    "}\n",
    "run_SnapATAC <- function(mat_SnapATAC,num_pcs=10){\n",
    "    fm_SnapATAC = run_pca(mat_SnapATAC,num_pcs = num_pcs)\n",
    "    return(fm_SnapATAC)\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [],
   "source": [
    "start_time <- Sys.time()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>1200</li>\n",
       "\t<li>1200</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 1200\n",
       "\\item 1200\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 1200\n",
       "2. 1200\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] 1200 1200"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mat_SnapATAC <- run_SnapATAC_normalize(se)\n",
    "dim(mat_SnapATAC)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWgAAAFoCAIAAAD1h/aCAAAACXBIWXMAABJ0AAASdAHeZh94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\n0RAcACAaggMARPt/mzd1nEcnfV4AAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p_elbow_SnapATAC <- elbow_plot(mat_SnapATAC,num_pcs = 30, title = 'PCA on SnapATAC')\n",
    "p_elbow_SnapATAC"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [],
   "source": [
    "fm_SnapATAC = run_SnapATAC(mat_SnapATAC,num_pcs=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Time difference of 0.08633344 mins"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "end_time <- Sys.time()\n",
    "tol_time <- difftime(end_time, start_time, units = \"mins\")\n",
    "tol_time\n",
    "running_time <- c(running_time, SnapATAC=tol_time)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_umap_SnapATAC <- run_umap(fm_SnapATAC)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAACXBIWXMAABJ0AAASdAHeZh94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\nENAAACKFgAYAECkENACASCGgAQBE6i90d296aezCDgAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p_SnapATAC <- plot_umap(df_umap_SnapATAC,labels = labels,colormap = colormap,title='SnapATAC')\n",
    "p_SnapATAC"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### scABC"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [],
   "source": [
    "sort_peaks <- function(peaks){\n",
    "  return(peaks[order(peaks$chrom, peaks$start), ])\n",
    "}\n",
    "peaks2GRanges <- function(peaks, upstream = 0, downstream = 0){\n",
    "  peaks.gr = with(peaks, GenomicRanges::GRanges(chrom, IRanges::IRanges(sapply(start, function(x) max(0, x - upstream)), end + downstream)))\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [],
   "source": [
    "run_scABC <- function(se){\n",
    "    \n",
    "    fm_scABC = as.matrix(assays(se)$counts)\n",
    "\n",
    "############################################################################################################  \n",
    "# The following code is used to calculate the weigths of cells in scABC. Since in scABC \n",
    "# the weights are not used to normalize the raw count matrix, instead it's used for k-medoid clustering \n",
    "# (the feature matrix used is the peaks by cells raw count matrix), \n",
    "# here for scABC, we consider the running time as the time used for computing weights     \n",
    "############################################################################################################     \n",
    "    \n",
    "    se_scABC = se\n",
    "    df_peaks <- data.frame(chrom=seqnames(rowRanges(se_scABC)),\n",
    "      start=start(rowRanges(se_scABC))-1,\n",
    "      end=end(rowRanges(se_scABC)))\n",
    "    df_peaks = sort_peaks(df_peaks)\n",
    "    background_peaks.gr = peaks2GRanges(df_peaks, upstream=500000, downstream=500000)\n",
    "    foreground_peaks.gr = rowRanges(se_scABC)    \n",
    "    fg_mat = assays(se_scABC)$counts\n",
    "    ov_peaks = findOverlaps(background_peaks.gr, foreground_peaks.gr)\n",
    "    m <- Matrix::sparseMatrix(i = c(queryHits(ov_peaks), length(background_peaks.gr)),\n",
    "                              j = c(subjectHits(ov_peaks), length(foreground_peaks.gr)))\n",
    "    bg_mat = m %*% fg_mat  \n",
    "    weights = apply(bg_mat, 2, mean);\n",
    "    c = min(8, mean(weights))\n",
    "    # compute weighted k-medioids\n",
    "    lambda = 0.1\n",
    "    weights = 1/(1 + exp(-(weights - c)/(c*lambda)));\n",
    "    return(fm_scABC)\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [],
   "source": [
    "start_time <- Sys.time()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "fm_scABC = run_scABC(se)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Time difference of 0.2149933 mins"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "end_time <- Sys.time()\n",
    "tol_time <- difftime(end_time, start_time, units = \"mins\")\n",
    "tol_time\n",
    "running_time <- c(running_time, scABC=tol_time)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_umap_scABC <- run_umap(fm_scABC)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAACXBIWXMAABJ0AAASdAHeZh94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\nAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p_scABC <- plot_umap(df_umap_scABC,labels = labels,colormap = colormap,title='scABC')\n",
    "p_scABC"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWgAAAFoCAIAAAD1h/aCAAAACXBIWXMAABJ0AAASdAHeZh94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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p_elbow_scABC <- elbow_plot(fm_scABC,num_pcs = 20, title = 'PCA on scABC')\n",
    "p_elbow_scABC"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [],
   "source": [
    "fm_scABC2 = run_pca(fm_scABC,num_pcs = 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_umap_scABC2 <- run_umap(fm_scABC2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAACXBIWXMAABJ0AAASdAHeZh94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\nSUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p_scABC2 <- plot_umap(df_umap_scABC2,labels = labels,colormap = colormap,title='scABC after PCA')\n",
    "p_scABC2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### SCRAT"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {},
   "outputs": [],
   "source": [
    "run_SCRAT <- function(se,genome='hg19',adjustlen = TRUE, log2transform = TRUE){\n",
    "    genome = 'hg19'\n",
    "    Motifflank = 100\n",
    "    allres <- NULL\n",
    "    scrat_counts = assays(se)$counts\n",
    "    gr_peaks <- rowRanges(se)\n",
    "    datapath <- system.file(\"extdata\", package = paste0(\"SCRATdata\", \n",
    "        genome))\n",
    "    print(\"Processing MOTIF_JASPAR features\")\n",
    "    \n",
    "    load(paste0(datapath, \"/gr/jaspar1.rda\"))\n",
    "    gr <- flank(gr, as.numeric(Motifflank), both = T)\n",
    "    # tmp <- sapply(bamdata, function(i) countOverlaps(gr, \n",
    "    #     i))\n",
    "    # tmp <- sweep(tmp, 2, bamsummary, \"/\") * 10000\n",
    "    ov_peaks = findOverlaps(gr, gr_peaks)\n",
    "    m <- Matrix::sparseMatrix(i = c(queryHits(ov_peaks), length(gr)),\n",
    "                              j = c(subjectHits(ov_peaks), length(gr_peaks)))\n",
    "    mat_motif = m %*% scrat_counts \n",
    "    tmp <- sweep(mat_motif, 2, Matrix::colSums(scrat_counts), \"/\") * 10000\n",
    "\n",
    "    if (log2transform) {\n",
    "        tmp <- log2(tmp + 1)\n",
    "    }\n",
    "    if (adjustlen) {\n",
    "        grrange <- sapply(gr, function(i) sum(end(i) - start(i) + \n",
    "            1))\n",
    "        tmp <- sweep(tmp, 1, grrange, \"/\") * 1e+06\n",
    "    }\n",
    "    tmp <- tmp[Matrix::rowSums(tmp) > 0, , drop = F]\n",
    "    allres <- rbind(allres, tmp)\n",
    "\n",
    "    load(paste0(datapath, \"/gr/jaspar2.rda\"))\n",
    "    gr <- flank(gr, as.numeric(Motifflank), both = T)\n",
    "    # tmp <- sapply(bamdata, function(i) countOverlaps(gr, \n",
    "    #     i))\n",
    "    # tmp <- sweep(tmp, 2, bamsummary, \"/\") * 10000\n",
    "\n",
    "    ov_peaks = findOverlaps(gr, gr_peaks)\n",
    "    m <- Matrix::sparseMatrix(i = c(queryHits(ov_peaks), length(gr)),\n",
    "                              j = c(subjectHits(ov_peaks), length(gr_peaks)))\n",
    "    mat_motif = m %*% scrat_counts \n",
    "\n",
    "    tmp <- sweep(mat_motif, 2, Matrix::colSums(scrat_counts), \"/\") * 10000\n",
    "    if (log2transform) {\n",
    "        tmp <- log2(tmp + 1)\n",
    "    }\n",
    "    if (adjustlen) {\n",
    "        grrange <- sapply(gr, function(i) sum(end(i) - start(i) + \n",
    "            1))\n",
    "        tmp <- sweep(tmp, 1, grrange, \"/\") * 1e+06\n",
    "    }\n",
    "    tmp <- tmp[Matrix::rowSums(tmp) > 0, , drop = F]\n",
    "    allres <- rbind(allres, tmp)     \n",
    "    fm_SCRAT = as.matrix(allres)\n",
    "    return(fm_SCRAT)\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [],
   "source": [
    "start_time <- Sys.time()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1] \"Processing MOTIF_JASPAR features\"\n"
     ]
    }
   ],
   "source": [
    "fm_SCRAT = run_SCRAT(se,adjustlen = FALSE, log2transform = FALSE)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>519</li>\n",
       "\t<li>1200</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 519\n",
       "\\item 1200\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 519\n",
       "2. 1200\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1]  519 1200"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dim(fm_SCRAT)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Time difference of 0.6339549 mins"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "end_time <- Sys.time()\n",
    "tol_time <- difftime(end_time, start_time, units = \"mins\")\n",
    "tol_time\n",
    "running_time <- c(running_time, SCRAT=tol_time)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_umap_SCRAT <- run_umap(fm_SCRAT)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAACXBIWXMAABJ0AAASdAHeZh94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\nAACB+h9gvyW8XEPkfAAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p_SCRAT <- plot_umap(df_umap_SCRAT,labels = labels,colormap = colormap,title='SCRAT')\n",
    "p_SCRAT"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWgAAAFoCAIAAAD1h/aCAAAACXBIWXMAABJ0AAASdAHeZh94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\nAQDMEBwAwAzBAQDM/g8l3WXXNiLQ2gAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p_elbow_SCRAT <- elbow_plot(fm_SCRAT,num_pcs = 20, title = 'PCA on SCRAT')\n",
    "p_elbow_SCRAT"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {},
   "outputs": [],
   "source": [
    "fm_SCRAT2 = run_pca(fm_SCRAT,num_pcs = 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_umap_SCRAT2 <- run_umap(fm_SCRAT2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAACXBIWXMAABJ0AAASdAHeZh94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\n",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p_SCRAT2 <- plot_umap(df_umap_SCRAT2,labels = labels,colormap = colormap,title='SCRAT after PCA')\n",
    "p_SCRAT2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Scasat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {},
   "outputs": [],
   "source": [
    "run_Scasat <- function(se){\n",
    "    binary_mat = as.matrix((assays(se)$counts > 0) + 0)\n",
    "    binary_mat = Matrix(binary_mat, sparse = TRUE) \n",
    "    SingleCell.Binary.Jaccard <- jaccard(as.matrix(binary_mat))\n",
    "    fit <- cmdscale(as.dist(SingleCell.Binary.Jaccard),eig=TRUE, k=10)\n",
    "    fm_Scasat = t(fit$points)\n",
    "    return(fm_Scasat)\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {},
   "outputs": [],
   "source": [
    "start_time <- Sys.time()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {},
   "outputs": [],
   "source": [
    "fm_Scasat <- run_Scasat(se)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Time difference of 0.1101968 mins"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "end_time <- Sys.time()\n",
    "tol_time <- difftime(end_time, start_time, units = \"mins\")\n",
    "tol_time\n",
    "running_time <- c(running_time, Scasat=tol_time)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_umap_Scasat <- run_umap(fm_Scasat)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAACXBIWXMAABJ0AAASdAHeZh94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\nYBQCGgCAUQhoAABGIaABABj1Nz+2V8FUHX5dAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p_Scasat <- plot_umap(df_umap_Scasat,labels = labels,colormap = colormap,title='Scasat')\n",
    "p_Scasat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### BROCKMAN"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {},
   "outputs": [],
   "source": [
    "run_BROCKMAN_preprocess <- function(se,file_path){\n",
    "    peaks = rowRanges(se)\n",
    "    binary_mat = as.matrix((assays(se)$counts > 0) + 0)\n",
    "    binary_mat = Matrix(binary_mat, sparse = TRUE)\n",
    "    for (i in 1:ncol(binary_mat)){\n",
    "        peaks_i = peaks[which(binary_mat[,i]!=0,arr.ind = T)]\n",
    "        df_bed_i <- data.frame(chrom=seqnames(peaks_i),start=start(peaks_i)-1,end=end(peaks_i))\n",
    "        system(paste0('mkdir -p ',file_path,'bed'))\n",
    "        write.table(df_bed_i, file=paste0(file_path,'bed/', colnames(se)[i],'.bed'), quote=F, sep=\"\\t\", row.names=F, col.names=F)\n",
    "    }    \n",
    "}\n",
    "\n",
    "run_BROCKMAN_normalize <- function(se,file_path){\n",
    "    sampleDesc = colData(se)\n",
    "    fileNames = fileNames = sprintf(paste0(file_path,\"kmers/%s.freq.gz\"),rownames(sampleDesc))\n",
    "    IDs = rownames(sampleDesc)\n",
    "    stopifnot(length(fileNames) == length(IDs))\n",
    "    curData = read.table(fileNames[1], sep = \"\\t\", header = T, \n",
    "        stringsAsFactors = FALSE, quote = \"\", row.names = NULL)\n",
    "    allData = matrix(nrow = nrow(curData), ncol = nrow(sampleDesc))\n",
    "    row.names(allData) = curData$kMer\n",
    "    colnames(allData) = IDs\n",
    "    for (i in 1:length(fileNames)) {\n",
    "        if (i%%50 == 1) {\n",
    "            message(sprintf(\"Inputting i=%i/%i\", i, length(fileNames)))\n",
    "        }\n",
    "        curData = read.table(fileNames[i], sep = \"\\t\", header = T, \n",
    "            stringsAsFactors = FALSE, quote = \"\", row.names = NULL)\n",
    "        allData[, i] = curData$Pct_FG\n",
    "    }   \n",
    "#     allData = BrockmanR::inputKMerFreqs(fileNames = sprintf(paste0(file_path,\"kmers/%s.freq.gz\"),rownames(sampleDesc)), \n",
    "#                                         IDs = rownames(sampleDesc))   \n",
    "#     bugs: Error in nrow(sampleDesc): object 'sampleDesc' not found\n",
    "    return(allData)\n",
    "}\n",
    "\n",
    "run_BROCKMAN <- function(mat_BROCKMAN,num_pcs=10){\n",
    "    pcs = doKMerPCA(mat_BROCKMAN, nPCs = num_pcs);\n",
    "    fm_BROCKMAN = t(pcs$x)[1:pcs$nPCs,]\n",
    "    return(fm_BROCKMAN)\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {},
   "outputs": [],
   "source": [
    "path_brockman = './BROCKMAN_preprocess/'\n",
    "# run_BROCKMAN_preprocess(se,file_path = path_brockman)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`bsub < get_gapped_kmers.sh`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {},
   "outputs": [],
   "source": [
    "start_time <- Sys.time()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Inputting i=1/1200\n",
      "Inputting i=51/1200\n",
      "Inputting i=101/1200\n",
      "Inputting i=151/1200\n",
      "Inputting i=201/1200\n",
      "Inputting i=251/1200\n",
      "Inputting i=301/1200\n",
      "Inputting i=351/1200\n",
      "Inputting i=401/1200\n",
      "Inputting i=451/1200\n",
      "Inputting i=501/1200\n",
      "Inputting i=551/1200\n",
      "Inputting i=601/1200\n",
      "Inputting i=651/1200\n",
      "Inputting i=701/1200\n",
      "Inputting i=751/1200\n",
      "Inputting i=801/1200\n",
      "Inputting i=851/1200\n",
      "Inputting i=901/1200\n",
      "Inputting i=951/1200\n",
      "Inputting i=1001/1200\n",
      "Inputting i=1051/1200\n",
      "Inputting i=1101/1200\n",
      "Inputting i=1151/1200\n"
     ]
    }
   ],
   "source": [
    "mat_BROCKMAN <- run_BROCKMAN_normalize(se,file_path = path_brockman)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWgAAAFoCAIAAAD1h/aCAAAACXBIWXMAABJ0AAASdAHeZh94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\nAIiG4AAA0RAcACAaggMARENwAIBo/w8Uy4uPxz02ZgAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p_elbow_BROCKMAN <- elbow_plot(mat_BROCKMAN,num_pcs = 30, title = 'PCA on BROCKMAN')\n",
    "p_elbow_BROCKMAN"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Scaling data\n",
      "Doing PCA\n",
      "Using 10 PCs\n",
      "Doing tSNE\n",
      "sigma summary: Min. : 0.399726842561187 |1st Qu. : 0.503148500432286 |Median : 0.530930116806318 |Mean : 0.531606916598467 |3rd Qu. : 0.561253399081165 |Max. : 0.66243816993311 |\n",
      "Epoch: Iteration #100 error is: 14.111494095377\n",
      "Epoch: Iteration #200 error is: 1.06939802234973\n",
      "Epoch: Iteration #300 error is: 0.954262763049322\n",
      "Epoch: Iteration #400 error is: 0.910587240594283\n",
      "Epoch: Iteration #500 error is: 0.893912008599058\n",
      "Epoch: Iteration #600 error is: 0.885233781262991\n",
      "Epoch: Iteration #700 error is: 0.878395737443605\n",
      "Epoch: Iteration #800 error is: 0.874718965148756\n",
      "Epoch: Iteration #900 error is: 0.87202079524975\n",
      "Epoch: Iteration #1000 error is: 0.87001076586083\n"
     ]
    }
   ],
   "source": [
    "fm_BROCKMAN = run_BROCKMAN(mat_BROCKMAN,num_pcs=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Time difference of 12.29182 mins"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "end_time <- Sys.time()\n",
    "tol_time <- difftime(end_time, start_time, units = \"mins\")\n",
    "tol_time\n",
    "running_time <- c(running_time, BROCKMAN=tol_time)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "metadata": {},
   "outputs": [],
   "source": [
    "df_umap_BROCKMAN <- run_umap(fm_BROCKMAN)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAACXBIWXMAABJ0AAASdAHeZh94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\nCGgAAJVCQAMAqBQCGgBApRDQAAAq9Q8F8pUziBFR7wAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p_BROCKMAN <- plot_umap(df_umap_BROCKMAN,labels = labels,colormap = colormap,title='BROCKMAN')\n",
    "p_BROCKMAN"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAC0AAAAWgCAIAAABCVlXoAAAACXBIWXMAABJ0AAASdAHeZh94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\n4AAAAAAAAAAASJgGDgAAAAAAAACAhP0PaNm/BTrFTBcAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "options(repr.plot.width=4*6, repr.plot.height=4*3)\n",
    "cowplot::plot_grid(p_control+theme(legend.position = \"none\"),\n",
    "                   p_BROCKMAN+theme(legend.position = \"none\"),\n",
    "                   p_cisTopic+theme(legend.position = \"none\"),\n",
    "                   p_Cusanovich2018+theme(legend.position = \"none\"),\n",
    "                   p_Scasat+theme(legend.position = \"none\"),  \n",
    "                   p_SnapATAC+theme(legend.position = \"none\"),         \n",
    "                   p_Cicero+theme(legend.position = \"none\"),p_Cicero2+theme(legend.position = \"none\"),\n",
    "                   p_chromVAR_kmer+theme(legend.position = \"none\"),p_chromVAR_kmer2+theme(legend.position = \"none\"),\n",
    "                   p_chromVAR_motif+theme(legend.position = \"none\"),p_chromVAR_motif2+theme(legend.position = \"none\"),\n",
    "                   p_GeneScoring+theme(legend.position = \"none\"),p_GeneScoring2+theme(legend.position = \"none\"),\n",
    "                   p_scABC+theme(legend.position = \"none\"),p_scABC2+theme(legend.position = \"none\"),\n",
    "                   p_SCRAT+theme(legend.position = \"none\"),p_SCRAT2+theme(legend.position = \"none\"),\n",
    "                   labels = \"\",ncol = 6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Save feature matrices and UMAP coordinates"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {},
   "outputs": [],
   "source": [
    "dataset = 'BMcov5000'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "metadata": {},
   "outputs": [],
   "source": [
    "saveRDS(fm_control, file = paste0(path_fm,'FM_Control_',dataset,'.rds'))\n",
    "saveRDS(fm_BROCKMAN, file = paste0(path_fm,'FM_BROCKMAN_',dataset,'.rds'))\n",
    "saveRDS(fm_Cusanovich2018, file = paste0(path_fm,'FM_Cusanovich2018_',dataset,'.rds'))\n",
    "saveRDS(fm_cisTopic, file = paste0(path_fm,'FM_cisTopic_',dataset,'.rds'))\n",
    "saveRDS(fm_chromVAR_kmer, file = paste0(path_fm,'FM_chromVAR_',dataset,'_kmers.rds'))\n",
    "saveRDS(fm_chromVAR_motif, file = paste0(path_fm,'FM_chromVAR_',dataset,'_motifs.rds'))\n",
    "saveRDS(fm_chromVAR_kmer2, file = paste0(path_fm,'FM_chromVAR_',dataset,'_kmers_pca.rds'))\n",
    "saveRDS(fm_chromVAR_motif2, file = paste0(path_fm,'FM_chromVAR_',dataset,'_motifs_pca.rds'))\n",
    "saveRDS(fm_GeneScoring, file = paste0(path_fm,'FM_GeneScoring_',dataset,'.rds'))\n",
    "saveRDS(fm_GeneScoring2, file = paste0(path_fm,'FM_GeneScoring_',dataset,'_pca.rds'))\n",
    "saveRDS(fm_Cicero, file = paste0(path_fm,'FM_Cicero_',dataset,'.rds'))\n",
    "saveRDS(fm_Cicero2, file = paste0(path_fm,'FM_Cicero_',dataset,'_pca.rds'))\n",
    "saveRDS(fm_SnapATAC, file = paste0(path_fm,'FM_SnapATAC_',dataset,'.rds'))\n",
    "saveRDS(fm_Scasat, file = paste0(path_fm,'FM_Scasat_',dataset,'.rds'))\n",
    "saveRDS(fm_scABC, file = paste0(path_fm,'FM_scABC_',dataset,'.rds'))\n",
    "# saveRDS(fm_scABC2, file = paste0(path_fm,'FM_scABC_',dataset,'_pca.rds'))\n",
    "saveRDS(fm_SCRAT, file = paste0(path_fm,'FM_SCRAT_',dataset,'.rds'))\n",
    "saveRDS(fm_SCRAT2, file = paste0(path_fm,'FM_SCRAT_',dataset,'_pca.rds'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {},
   "outputs": [],
   "source": [
    "saveRDS(df_umap_control,paste0(path_umap,'df_umap_control.rds'))\n",
    "saveRDS(df_umap_BROCKMAN,paste0(path_umap,'df_umap_BROCKMAN.rds'))\n",
    "saveRDS(df_umap_Cusanovich2018,paste0(path_umap,'df_umap_Cusanovich2018.rds'))\n",
    "saveRDS(df_umap_cisTopic,paste0(path_umap,'df_umap_cisTopic.rds'))\n",
    "saveRDS(df_umap_chromVAR_kmer,paste0(path_umap,'df_umap_chromVAR_kmer.rds'))\n",
    "saveRDS(df_umap_chromVAR_kmer2,paste0(path_umap,'df_umap_chromVAR_kmer2.rds'))\n",
    "saveRDS(df_umap_chromVAR_motif,paste0(path_umap,'df_umap_chromVAR_motif.rds'))\n",
    "saveRDS(df_umap_chromVAR_motif2,paste0(path_umap,'df_umap_chromVAR_motif2.rds'))\n",
    "saveRDS(df_umap_GeneScoring,paste0(path_umap,'df_umap_GeneScoring.rds'))\n",
    "saveRDS(df_umap_GeneScoring2,paste0(path_umap,'df_umap_GeneScoring2.rds'))\n",
    "saveRDS(df_umap_Cicero,paste0(path_umap,'df_umap_Cicero.rds'))\n",
    "saveRDS(df_umap_Cicero2,paste0(path_umap,'df_umap_Cicero2.rds'))\n",
    "saveRDS(df_umap_SnapATAC,paste0(path_umap,'df_umap_SnapATAC.rds'))\n",
    "saveRDS(df_umap_Scasat,paste0(path_umap,'df_umap_Scasat.rds'))\n",
    "saveRDS(df_umap_scABC,paste0(path_umap,'df_umap_scABC.rds'))\n",
    "# saveRDS(df_umap_scABC2,paste0(path_umap,'df_umap_scABC2.rds'))\n",
    "saveRDS(df_umap_SCRAT,paste0(path_umap,'df_umap_SCRAT.rds'))\n",
    "saveRDS(df_umap_SCRAT2,paste0(path_umap,'df_umap_SCRAT2.rds'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "metadata": {},
   "outputs": [],
   "source": [
    "saveRDS(se,paste0(workdir,'se.rds'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<dl class=dl-horizontal>\n",
       "\t<dt>control</dt>\n",
       "\t\t<dd>0.135556201140086</dd>\n",
       "\t<dt>chromVAR_motif</dt>\n",
       "\t\t<dd>1.35511838595072</dd>\n",
       "\t<dt>chromVAR_kmer</dt>\n",
       "\t\t<dd>3.18793276151021</dd>\n",
       "\t<dt>Cusanovich2018</dt>\n",
       "\t\t<dd>0.95611541668574</dd>\n",
       "\t<dt>Cistopic</dt>\n",
       "\t\t<dd>12.7843653877576</dd>\n",
       "\t<dt>GeneScoring</dt>\n",
       "\t\t<dd>0.0425111532211304</dd>\n",
       "\t<dt>Cicero</dt>\n",
       "\t\t<dd>9.48994305531184</dd>\n",
       "\t<dt>SnapATAC</dt>\n",
       "\t\t<dd>0.086333441734314</dd>\n",
       "\t<dt>scABC</dt>\n",
       "\t\t<dd>0.214993278185527</dd>\n",
       "\t<dt>SCRAT</dt>\n",
       "\t\t<dd>0.633954874674479</dd>\n",
       "\t<dt>Scasat</dt>\n",
       "\t\t<dd>0.110196808973948</dd>\n",
       "\t<dt>BROCKMAN</dt>\n",
       "\t\t<dd>12.2918238838514</dd>\n",
       "</dl>\n"
      ],
      "text/latex": [
       "\\begin{description*}\n",
       "\\item[control] 0.135556201140086\n",
       "\\item[chromVAR\\textbackslash{}\\_motif] 1.35511838595072\n",
       "\\item[chromVAR\\textbackslash{}\\_kmer] 3.18793276151021\n",
       "\\item[Cusanovich2018] 0.95611541668574\n",
       "\\item[Cistopic] 12.7843653877576\n",
       "\\item[GeneScoring] 0.0425111532211304\n",
       "\\item[Cicero] 9.48994305531184\n",
       "\\item[SnapATAC] 0.086333441734314\n",
       "\\item[scABC] 0.214993278185527\n",
       "\\item[SCRAT] 0.633954874674479\n",
       "\\item[Scasat] 0.110196808973948\n",
       "\\item[BROCKMAN] 12.2918238838514\n",
       "\\end{description*}\n"
      ],
      "text/markdown": [
       "control\n",
       ":   0.135556201140086chromVAR_motif\n",
       ":   1.35511838595072chromVAR_kmer\n",
       ":   3.18793276151021Cusanovich2018\n",
       ":   0.95611541668574Cistopic\n",
       ":   12.7843653877576GeneScoring\n",
       ":   0.0425111532211304Cicero\n",
       ":   9.48994305531184SnapATAC\n",
       ":   0.086333441734314scABC\n",
       ":   0.214993278185527SCRAT\n",
       ":   0.633954874674479Scasat\n",
       ":   0.110196808973948BROCKMAN\n",
       ":   12.2918238838514\n",
       "\n"
      ],
      "text/plain": [
       "       control chromVAR_motif  chromVAR_kmer Cusanovich2018       Cistopic \n",
       "    0.13555620     1.35511839     3.18793276     0.95611542    12.78436539 \n",
       "   GeneScoring         Cicero       SnapATAC          scABC          SCRAT \n",
       "    0.04251115     9.48994306     0.08633344     0.21499328     0.63395487 \n",
       "        Scasat       BROCKMAN \n",
       "    0.11019681    12.29182388 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "running_time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "R version 3.5.1 (2018-07-02)\n",
       "Platform: x86_64-conda_cos6-linux-gnu (64-bit)\n",
       "Running under: CentOS Linux 7 (Core)\n",
       "\n",
       "Matrix products: default\n",
       "BLAS/LAPACK: /data/pinello/SHARED_SOFTWARE/anaconda3/envs/ATACseq_simulation/lib/R/lib/libRblas.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] grid      splines   parallel  stats4    stats     graphics  grDevices\n",
       " [8] utils     datasets  methods   base     \n",
       "\n",
       "other attached packages:\n",
       " [1] jackstraw_1.3                     BrockmanR_0.0.0.9000             \n",
       " [3] tsne_0.1-3                        prabclus_2.2-7                   \n",
       " [5] mclust_5.4.3                      cisTopic_0.2.1                   \n",
       " [7] umap_0.2.1.0                      cicero_1.0.15                    \n",
       " [9] Gviz_1.26.5                       monocle_2.10.1                   \n",
       "[11] DDRTree_0.1.5                     VGAM_1.0-6                       \n",
       "[13] irlba_2.3.3                       Matrix_1.2-17                    \n",
       "[15] motifmatchr_1.4.0                 JASPAR2016_1.12.0                \n",
       "[17] BSgenome.Hsapiens.UCSC.hg19_1.4.0 BSgenome_1.50.0                  \n",
       "[19] rtracklayer_1.42.1                Biostrings_2.50.2                \n",
       "[21] XVector_0.22.0                    chromVAR_1.4.1                   \n",
       "[23] SummarizedExperiment_1.12.0       DelayedArray_0.8.0               \n",
       "[25] BiocParallel_1.16.6               matrixStats_0.54.0               \n",
       "[27] Biobase_2.42.0                    GenomicRanges_1.34.0             \n",
       "[29] GenomeInfoDb_1.18.1               IRanges_2.16.0                   \n",
       "[31] S4Vectors_0.20.1                  BiocGenerics_0.28.0              \n",
       "[33] cowplot_0.9.4                     stringr_1.4.0                    \n",
       "[35] BuenColors_0.5.5                  ggplot2_3.1.1                    \n",
       "[37] MASS_7.3-51.4                     dplyr_0.8.0.1                    \n",
       "[39] data.table_1.12.2                \n",
       "\n",
       "loaded via a namespace (and not attached):\n",
       "  [1] reticulate_1.12             R.utils_2.8.0              \n",
       "  [3] tidyselect_0.2.5            poweRlaw_0.70.2            \n",
       "  [5] RSQLite_2.1.1               AnnotationDbi_1.44.0       \n",
       "  [7] htmlwidgets_1.3             gmp_0.5-13.4               \n",
       "  [9] combinat_0.0-8              docopt_0.6.1               \n",
       " [11] Rtsne_0.15                  munsell_0.5.0              \n",
       " [13] codetools_0.2-16            DT_0.6                     \n",
       " [15] pbdZMQ_0.3-3                miniUI_0.1.1.1             \n",
       " [17] withr_2.1.2                 RcisTarget_1.3.6           \n",
       " [19] colorspace_1.4-1            fastICA_1.2-1              \n",
       " [21] knitr_1.22                  uuid_0.1-2                 \n",
       " [23] geometry_0.4.0              rstudioapi_0.10            \n",
       " [25] labeling_0.3                slam_0.1-45                \n",
       " [27] FD_1.0-12                   repr_1.0.0                 \n",
       " [29] GenomeInfoDbData_1.2.1      bit64_0.9-7                \n",
       " [31] pheatmap_1.0.12             xfun_0.6                   \n",
       " [33] biovizBase_1.30.1           R6_2.4.0                   \n",
       " [35] rsvd_1.0.0                  AnnotationFilter_1.6.0     \n",
       " [37] bitops_1.0-6                assertthat_0.2.1           \n",
       " [39] promises_1.0.1              scales_1.0.0               \n",
       " [41] nnet_7.3-12                 gtable_0.3.0               \n",
       " [43] npsurv_0.4-0                ensembldb_2.6.8            \n",
       " [45] seqLogo_1.48.0              rlang_0.3.4                \n",
       " [47] lazyeval_0.2.2              acepack_1.4.1              \n",
       " [49] dichromat_2.0-0             checkmate_1.9.3            \n",
       " [51] abind_1.4-5                 reshape2_1.4.3             \n",
       " [53] GenomicFeatures_1.34.8      backports_1.1.4            \n",
       " [55] httpuv_1.5.1                qvalue_2.16.0              \n",
       " [57] Hmisc_4.2-0                 tools_3.5.1                \n",
       " [59] feather_0.3.3               nabor_0.5.0                \n",
       " [61] RColorBrewer_1.1-2          Rcpp_1.0.1                 \n",
       " [63] plyr_1.8.4                  base64enc_0.1-3            \n",
       " [65] progress_1.2.0              zlibbioc_1.28.0            \n",
       " [67] purrr_0.3.2                 RCurl_1.95-4.12            \n",
       " [69] densityClust_0.3            prettyunits_1.0.2          \n",
       " [71] rpart_4.1-15                viridis_0.5.1              \n",
       " [73] ggrepel_0.8.1               cluster_2.0.9              \n",
       " [75] magrittr_1.5                RSpectra_0.14-0            \n",
       " [77] RANN_2.6.1                  ProtGenerics_1.14.0        \n",
       " [79] fitdistrplus_1.0-14         hms_0.4.2                  \n",
       " [81] lsei_1.2-0                  mime_0.6                   \n",
       " [83] evaluate_0.13               xtable_1.8-3               \n",
       " [85] XML_3.98-1.19               AUCell_1.5.5               \n",
       " [87] sparsesvd_0.1-4             gridExtra_2.3              \n",
       " [89] HSMMSingleCell_1.2.0        compiler_3.5.1             \n",
       " [91] biomaRt_2.38.0              tibble_2.1.1               \n",
       " [93] crayon_1.3.4                R.oo_1.22.0                \n",
       " [95] htmltools_0.3.6             corpcor_1.6.9              \n",
       " [97] mgcv_1.8-28                 later_0.8.0                \n",
       " [99] Formula_1.2-3               TFBSTools_1.20.0           \n",
       "[101] snow_0.4-3                  tidyr_0.8.3                \n",
       "[103] DBI_1.0.0                   ClusterR_1.1.9             \n",
       "[105] magic_1.5-9                 ade4_1.7-13                \n",
       "[107] readr_1.3.1                 permute_0.9-5              \n",
       "[109] R.methodsS3_1.7.1           igraph_1.2.4.1             \n",
       "[111] pkgconfig_2.0.2             GenomicAlignments_1.18.1   \n",
       "[113] TFMPvalue_0.0.8             foreign_0.8-71             \n",
       "[115] IRdisplay_0.7.0             plotly_4.9.0               \n",
       "[117] foreach_1.4.4               annotate_1.60.1            \n",
       "[119] lda_1.4.2                   DirichletMultinomial_1.24.1\n",
       "[121] VariantAnnotation_1.28.13   digest_0.6.18              \n",
       "[123] vegan_2.5-4                 CNEr_1.18.1                \n",
       "[125] graph_1.60.0                htmlTable_1.13.1           \n",
       "[127] GSEABase_1.44.0             curl_3.3                   \n",
       "[129] shiny_1.3.2                 Rsamtools_1.34.0           \n",
       "[131] gtools_3.8.1                glasso_1.10                \n",
       "[133] nlme_3.1-139                jsonlite_1.6               \n",
       "[135] viridisLite_0.3.0           limma_3.38.3               \n",
       "[137] pillar_1.3.1                lattice_0.20-38            \n",
       "[139] KEGGREST_1.22.0             httr_1.4.0                 \n",
       "[141] survival_2.44-1.1           GO.db_3.7.0                \n",
       "[143] glue_1.3.1                  qlcMatrix_0.9.7            \n",
       "[145] FNN_1.1.3                   png_0.1-7                  \n",
       "[147] iterators_1.0.10            bit_1.1-14                 \n",
       "[149] stringi_1.4.3               blob_1.1.1                 \n",
       "[151] lfa_1.14.0                  doSNOW_1.0.16              \n",
       "[153] latticeExtra_0.6-28         caTools_1.17.1.2           \n",
       "[155] memoise_1.1.0               IRkernel_1.0.1             \n",
       "[157] ape_5.3                    "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sessionInfo()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "metadata": {},
   "outputs": [],
   "source": [
    "save.image(file = './run_methods_bonemarrow_cov5000.RData')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "R [conda env:ATACseq_simulation]",
   "language": "R",
   "name": "conda-env-ATACseq_simulation-r"
  },
  "language_info": {
   "codemirror_mode": "r",
   "file_extension": ".r",
   "mimetype": "text/x-r-source",
   "name": "R",
   "pygments_lexer": "r",
   "version": "3.5.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}