{ "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)$count\n", " binary_mat = as.matrix((datafr > 0) + 0)\n", " binary_mat = Matrix(binary_mat, sparse = TRUE) \n", " num_cells_ncounted = Matrix::rowSums(binary_mat)\n", " indices_sorted = order(num_cells_ncounted,decreasing = TRUE)[1:n_peaks]\n", " indices = sort(indices_sorted)\n", " ncounts = binary_mat[indices,]\n", " ncounts = ncounts[Matrix::rowSums(ncounts) > 0,] \n", " new_counts = Matrix::colSums(ncounts)\n", " options(repr.plot.width=8, repr.plot.height=4)\n", " par(mfrow=c(1,2))\n", " hist(log10(num_cells_ncounted),\n", " xlab = 'log10(Number of Cells)',\n", " main=\"No. of Cells Each Site is Observed In\",breaks=50)\n", " abline(v=log10(num_cells_ncounted[indices_sorted[length(indices_sorted)]]),\n", " lwd=2,col=\"indianred\")\n", " hist(log10(new_counts),\n", " xlab = 'log10(Number of Sites)',\n", " main=\"Number of Sites Each Cell Uses\",breaks=50)\n", " return(se[rownames(ncounts),])\n", "}\n", "\n", "\n", "run_pca <- function(mat,num_pcs=50,remove_first_PC=FALSE,scale=FALSE,center=FALSE){\n", " set.seed(2019) \n", " SVD = irlba(mat, num_pcs, num_pcs,scale=scale,center=center)\n", " sk_diag = matrix(0, nrow=num_pcs, ncol=num_pcs)\n", " diag(sk_diag) = SVD$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$umap_2)\n", " options(repr.plot.width=4, repr.plot.height=4)\n", " p <- ggplot(shuf(df_umap), aes(x = umap_1, y = umap_2, color = label)) +\n", " geom_point(size = 1) + scale_color_manual(values = colormap) +\n", " ggtitle(title)\n", " return(p)\n", "}" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Input" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "workdir = '../output/'\n", "path_umap = paste0(workdir,'umap_rds/')\n", "path_fm = paste0(workdir,'feature_matrices/')\n", "system(paste0('mkdir -p ',path_umap))\n", "system(paste0('mkdir -p ',path_fm))" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "df_count = readRDS('../input/bonemarrow_cov1000.rds')\n", "\n", "df_sample = read.table('../input/metadata.tsv',stringsAsFactors = FALSE)\n", "\n", "df_region = data.frame(do.call(rbind,strsplit(rownames(df_count),'_')),stringsAsFactors = FALSE)\n", "colnames(df_region) <- c(\"chr\", \"start\", \"end\")\n", "df_region$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": [ "
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\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": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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OZl375969atO3nyZEZGhjTu7e3dvXv3sWPH9u/fX67cAMDgGMYOAFBdYWFhYWFh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\n5xYWFm7btq1x48bPP/+8OjhmzJjQ0NAxY8aIc00ZFVN5A0B55tA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448YNk+UDAHqRvX8uKioKDw//6aef1E87d+785Zdf/uMf/8jPz+/U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"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_15985_16485 chr1_29763_30263 ...\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": 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"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 0.1513663 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": [ "
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t0bHR1NEETHjh3HjRvXpk2bqtXKy8uHDh0KALglFUJIgZm2RtTUDrfSSiuE0j7W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TLsTHKLUxySOXfuHIA+ffpIXUi9I0eOdOvWLSIioq7F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\nFAOaiEimGNBERDLFgCYikqn/B8+wz5hFCtVIAAAAAElFTkSuQmCC", "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 1.020211 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 1.995642 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": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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Kfhla9QWAv5CaklBYVVZpMUi5RKo5DJB/+z4avD641c7U8Pm/lsx9HE/55kR8fx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Svi4HkwpyVL1VKX76q7ctAJxKyY8pr1/1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\nRK5CYII=", "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": 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jKSS7vT0tK4nvWcnBz2wZPc/zOc+l9Z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\n3d3dNTU1Tqdz2bJl9fX1bW1tO3fu/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"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": 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phFPkUmpZYBgG/HVpP/Z/bdmR10ei7HzIWsbWnuMiK4/4RDKWnl9EtXZ/PC4iqN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\nwtx4z3+91KSeATBAQaMM5YeQMHt8v5Gn86wlDyf0G/Xr8b3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M1lvDCFYWLp1qsAAAIABJREFU17cpJBwki6vWAiDAuNPaZpb1ObYnpaXA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\nMYP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DmKiQkJCS9fvuzUqZMuhDVbt26N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\nRK5CYII=", "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": [ "
    \n", "\t
  1. 80000
  2. \n", "\t
  3. 1200
  4. \n", "
\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": 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Xz6n+Alg4PR1lEUVV5eTr8b29vbR0RE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\nRK5CYII=", "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": {}, "outputs": [ { "data": { "image/png": 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9e+9WZSS5Ys0dXV/e2338RiMdv4+PHjdevWzZ8/39nZmZNSq4eABgBVis0UOXz/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"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 0.607216 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": 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XPqDz744JNPPhEIBH369Ondu3dhYeGJEyesrKz8/PwoiqKDe+LEiYcPH9bx/s66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\nYII=", "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 4.767896 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": 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xohhBgKAxohhBgKAxohhBgKAxohhBgK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"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 0.0195877 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": 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UGBHiOvT9jFUUEXS95Xncq7nnsaiiZYpFHbShKWHeOEJ5claBKAS5ZqnZ6ZkLNu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\nU1igEUJIT2GBRgghPfX/Ui9syvq3bdYAAAAASUVORK5CYII=", "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": 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u3du/fEiROJKDc3V6VS+fr6GlRu1apVdna2SqUyRksBTEtj7HHwVq5cya5KPDw8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\nAIBoCA4AEA3BAQCiITgAQDQEBwCI9v+vFw4TiQNIrgAAAABJRU5ErkJggg==", "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": 115, "metadata": {}, "outputs": [], "source": [ "fm_GeneScoring2 = run_pca(fm_GeneScoring,num_pcs = 10)" ] }, { "cell_type": "code", "execution_count": 116, "metadata": {}, "outputs": [], "source": [ "df_umap_GeneScoring2 <- run_umap(fm_GeneScoring2)" ] }, { "cell_type": "code", "execution_count": 117, "metadata": {}, "outputs": [ { "data": { "image/png": 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SGEaoQBunk4fjFZTVT2JRcy+GxQKaSqjLa+oFTDi1AQV/ZHKwiGlMFKZxm7sMrG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"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: 2.31889309833635\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 9.501191 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": 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tXkf+3G0vhPtQUlxJCh0c8TcyXaJpQyFklmOt1mzliWtiYA9Dm95fHMNWVJ6RQ6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xhQSAoFAoKoUyo3PHqgSN/U4z5sUK1ZFY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\nB08nbUa0gz1HAAAAAElFTkSuQmCC", "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": 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2Ji+NEHDx6Y2NFaeI8ebWVrqzhzhkQi18hI92eeadzlA1gCiwsOjUZDRNJqdyJY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\nYII=", "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": 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GtjVEtjlYZLBipunuK35cuDACwkvyo00tHuYen6Y2OZRq5ErD+KPZa+ldK2PH6g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\nQCOEUDOFAY0QQs0UBjRCCDVTGNAIIdRMYUAjhFAzhQGNEELNF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"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": [ "
    \n", "\t
  1. 1200
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  4. \n", "
\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": 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IQ0ftcAoLmOOKKjo2/dujVkyJA6tk9M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\nhuAAAMH+HzKoVClvKZCJAAAAAElFTkSuQmCC", "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 0.06527542 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": 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qioaNCgQTt27Gjbtu2nn35qa2vr5+fn7u6en8/Ng25Vq9WlmMrCLq5a9+fFanYA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\nMWRhRE5Ez15T8X9D2PY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6qwug0AEfXv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", "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 0.1197381 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": 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Qv/Hsk3HuAttqP648f8unpSf15tPQDI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f+XR9T5zie/EY1ndy0s0ZhU9GPztrHdhu\nYGCvdRMWsZgsAHZm1psmL1l7ZseSIxtjMhL+05H7+IekHX1yYM6mk4t2pB19IhdTbeXvYNWq\nVevWrSONckpKyq1bt16+fJmZmdm5c+cbN27Mnj1bufOMGTMePXr06NGjJ0+exMTE1NbWrl+/\nns/njxw5MiNDPY1AIBBMnDhRLH5XOthfRasP+pPRtYH3WPVGggqf8WgogKABurZva19JkXhc\nZYVQI1XJKHoG2+7q7aa+MPECvw5MfRBUVKWgPg8MPZj7KQI/pJKQ2X0uJWdyqlUlmQhUF3Ay\n7sV69igFANtgOIayDNSjEZgsoZ801UybVc6ReV2zS/L3Xj8JfWmHrzyjryQDKHIuEBGy50c9\np2H7nHmdE4SiJj6FTgtcMKnj3PHy0fSMtHe/+CX6z6Ty/Oq981Xif3UNZUHiBEEMn99v+Px+\n+akl3wcsf3sXyIrL2/Zg0ZT1ww4tvRQdrmIKqXTqsnM/HFpyoSC9xNHTZvKGYZ6BLoImIYOl\nuQxgfVXjnnlnX99NYGrR+00M+fbngQSFAPDqdvz5LbdrKxq8u7iOWznU0FxP+Sh5gUepVPos\nMbKJ3wQgv7xoxNrppM7curM7//hl/9fB/TWetCVsTa0m9xv1Hx3SykeQkpKydu1aMzOzhw8f\nmpoq/HK2trY3btxwcnI6ePDgkiVLLC01S2nTaLRFixbV1dVt2LBhzZo1x48fV967du3a1NTU\n3r1737unXjvtL6d1Bv13omsLY09FZcL6ghasc7OQgLo8Td0AggqWkczBbdwGjqGw7qISlpd7\nz5gSO3ZHp0E/tw0Yaq92NKnXAQAFTyHk6NpYOPbuKt9LZ1E9u1tqUdHNTkViYsbOJTN2LV1T\nusV1peXi25OZboqHugmfFvC6kYzSkwhFL9btK4lKVD6WxqB16tt24NQepMKnnMqimltHnkjE\nCldgRkyu2tWmvc6x97T+alpP5UZdQ22XdnYsbSZBQMgX1VbUlxdUA2jJOgP47YcTTy6+5jU2\n1VY0nNlw4/qBhwBSIrNXfrM7JTK7JKci/PSL1SP3tCTM/zzptbyICVT1+5ef2NrSSVv5jyjj\nCHdElm14XhJf9s61lg/m5MmTIpFo7ty5ytaZxMjIaMuWLWvWrHlvvewlS5aw2eyLFy8q+0Pe\nvHmzfv36+fPnt2+voXjmX06rgf57kAhR/ArZt1Aep5BnFjS00FuqbqObV5v9QEqjATDYVKcA\nE5/eNlQ6VSo/A2DpJp8kStFUA6DfoTVdZg6wb2/s2dNq+PoAQ2ttACJozlfecftwt5VDKusU\nXnI7rrpZLI6M13js3H3j9IwUqZUF6aW7Zp3a99M5eYuJtaHaIWRLh15eo38ZTIrSmVgbLjo+\nRSrFyuG7M+PypRJpWX7Vb9OPZ8blKx8Yfur5T302z+m+/sJvd5s4/KhwlWfGyxtxAJ5eilJu\nTH2dXZor8/ZIpdJ70Y93XT36LDESQEJOqsY7ApBXpqGO7UcgEAnTCrLqOC39e/yXk1rZ5LH7\nzaw7eT//WdBuf+LpBHXZrI/gzp07APr31/x+M2nSpAULFlhZWWncK0dHR6dTp04cDicuThaR\nJRaLJ0yY4ODgsHz58ncf+1fR6uL4G5CIELdPERVXkQivbwECutag0DT4lwEQBKRSmaGm0GHd\nRUOf9yNVjtLTM2OFTAt4sj9GxBeAQIev7G19305jCSqoTAB0tlbHn2cjmqKI29MyXjrtV9al\nI+W1lZwmrrIaMkl1Qy2dRheKhAB4LHVTrmOhPmEhaRvicThh3cZxB5XN5e0jjyet+ZoUuvPp\n6ubT1S3hmayWrkt7e3l97pE/9Q/7sXdJToWVoymdRY99mFJbrgj1EzQJX99LcGkni3u7e/zZ\n9hknyM9p0Tnhp14oz9MB0OhUAGKRugORbJFIJUNXTJbXP+zs2SFBSdRfjQD3ti3t+nDuvH40\nbvOcspoKGpW24Jvv101Y9CFHhUc/2X/zFJfPGxjYa3K/US0pUH8WrHlaVNuk+HP8dL/gW59P\nLRNTWFgIwN3d/b093429vT2AkhLZb3nLli0xMTEPHz5ksVrIJvur+Yz/rv9eKhNVYparktFQ\nBF0bMA3gPAAZVzQcomcHq0DUZICmBcuO0DL5qBMTMHRFZZJ82zfU1jXQoLqM0AsYpCuMR83b\n5Q6pGLF70H462KZg6KLtJOQ9ALcSOpaw/9KfZfD7En8Au68da26gAdiaWs0eOkkoEg7s+EXs\n9I3FEbJZs7GHk3Pf4JYuLvF5etrrbOUWsUjSWMc10tIHQKFS1l6dfe/k89zkYhtX8z5jusql\nnEtzKzZPOpLyKotGp4aODw4O66A2MpOlCPm4f/qF8q6CtBK1zj1HBALoPKD9daUMGgcva2tn\ncwC3Xj2QW2cAL1UVnwEY6RqQAYj25ja7Z67Fp1HPbRi5bnptYz0AkVi0/uyuwDZ+gzq/J477\nVuSD/kvGkJ9vRz7MKS3YNHnJJ17J/yPZNSr1KIobBFyhhE3/pJf7uro6BoNBp7fo+PpAmEwm\ngPr6egDp6ekrVqyYMmVKSEjI+477y2g10H8DTerxDGiqga41sm6iJBIACBqkSvNohh5cBkHb\nAqafFCIGAK6DIRWjOh0EASmBpmotFqztgYpLaD8VdbmKKbaYj8KncBsKAGxztBkJAFXJyLwC\niQhGHrDuPDF0xKnLOyIKy9VOYm1iMfMr2WKg44WdCcevVCSmG7na+44PI1Wkm5P6OnvlN7vV\nGm3dLIwsFNkxNAat30QN//prRu3NTigEIBKKbxx4aGZjZN/GKi+lmNzL1mV1GSzzBkolUh5H\nQ/UZEnsXk6Hz+vcY3glAu+4ec/aNO7fpVk1ZnU9Xt++3jCBXDlML1FWllGExmKXn46LS44Vi\nUUf3dqT8yKfwJjuFtM5yHsW/fK+B3nf9pPLm/hunNkz6mUJ8ru7Ktubsl4UKMQB3Y9YnWmcA\nxsbGJSUlPB5PS0tzQP0H0tDQAEBHR0cqlU6cONHY2HjTpk2feG3/Ea0G+m9At1n8r441il6i\n6O3kTiqCjhW8R4NbBakEenayILxPh64DrzGQiFCZhFSFhxdSCdIuq6cp8pUeJBIhcsNR+Ey2\nWZsNfh3Luf+zeXPuvAqfcScyt1bxE5r79WT5ZxqL2X7q8Pdel5rPFwCTzVh47P16xznJRaR1\nlhP/OGX15Vmn1l5Lj8m1cDAdtbC/hb0JgD9+vfP7plvKBa7UcK6IDOz+I/k5LiuJ41C/5O4U\ntZzAd8c4G+rq02m0zp7qU/iPxlRf/V2+eUtz5MXISThNXIFQ+OlPi/8vVna3fpRXn1rZBMCA\nRd3X3+HTx3RyciopKUlNTdW4lFdSUlJTU+PpqbkCmTJkjJ2Dg8Pu3bufPXt29epVPT299x71\nF/JJBjo/P//o0aMJCQkEQfj6+n733XeOjo7NuzU2Ng4YMADAo0ePPuV0/8/wKpH3ALwqaFvA\nvieYGhKjZRi6wioQxREAQFDh2AdaRqhJV+nTWAIKEwZOGgeARKQhR/HDodA0pLTwa8EyUkmE\n0X1bIlbQgLh95LKhgtIoOPejun1lnJOVW6tSyKr56ndFQXVmfL6huZ5HgOY7UnMEAxBy+Ykb\nfzPbvFDHUua2FjQJG2o4xpYqwp6vbqj7WCQgTKwNZ+8ZKxKIaAzZtxRxK/7oskvyPgSFoFAp\nymmK2gS/iSd8cOB2yMyw6QcXn314BQCDRl8/8WdlXfx+HXv6OrZ5k6PZ7zys2wCN7fHZyafu\nXxKIBEO79gvxDQTwLDHyj8fXi6vLO7XxG/NlmJmBZp+Vm41Tv4495VEixnqGY3p9rbGnMr38\nuj1NUKTIB/t2+nytMwAzbXr8VJ/HefUcgSTYXtdI6y+YNYaGhj5//vzWrVsaDfSvv/66efPm\nFStWvHutr6qqKj4+XldX18vLa9asWQAGD1ZPy+rcuTOAlJQUDw+PT7/s5nz8d3HmzJmJEyc2\nNckmLBcuXFi1atX8+fNXr15No6kMKxKJHj9+rGmMzwdhI+IPyMpTNRSgLht+M9817XUZBOsg\nmTVn6gEAVe3dX4o3h9FmpLq+aG0WMq6CVwmGLuhs8KrB1IP9lzB793qUFGIBqExAiqoUNBSB\npiVbeJTDNIJLfySfka0H6jvA9q0/If+RunUGIBFBIgZDN4utfuqMQhVX8t3jz/bMOyPkiwD4\n9/Ze9vsPNyLDfz68Iac038/VZ+eM1R1cfTsPbH91r4qVZxGC7DtPBfWcr6/tlUqlh5deuLrn\nT7FIYuVivujIJJf2shjBpmYuizdPUn/ovAoEcpOKdA3Yw+f3GzKzV8z9JOU+Uol026OfL6/7\n4/GdVCkIHaKJRQheCNxf/Pry8N7IGOsYmAKAQCSct3/V18H95fpEBEG83nMrZG5YREoMABqV\nKnqbj2Brar1i7LzmX/2DuOd9f/6O1NnYcfnI0QXbckoKVp36ldx74cnNtae3R+66qZbnLT/d\nxeUHd1879jI5mvTsW5tYNO+mxsIRP2SV5J0MvyiRSrp4+R+Z/9lH+zGoRC+nlmc8/zmjRo1a\nvXr1tm3bpk6damKi8nQsLi4+duwYgKFD31WfDMCWLVsEAsHo0aNpNFpISIjaOImJiWlpaT16\n9DAyMvr7ptUfaaAjIyPHjh0rEom6d+8eGhrK5XJv3rwZHR29YcOGiIiIf/5F4G+nKk1RPBAA\nrwp1uQpx/bpcVCSAIGDWVjEt1TKGljHqcpFyBtxyMJr9/zUWIf0C2k4BgKZqlMdBwEV5lCz/\nW9AgC8vjVSH1HFiG0GtBoKckEjl3IeJBywQsQ8VKIENXEdhHUODUB/qO6LgADYWgsaBjqYjt\n46p7mQHA0Jmcxfs6tVHb4+vkKZFKSKcnp44rt84Aou4lHqDhmNEAACAASURBVNz1+9z7y8hc\nxJfJ0QOXjks9+ti3m/vQmb0u7QyXD+JEKwNQ+DKWU1H78HLspR2yXcWZZT/13XI2eyuTzQDg\n94XX+W0q5UXEQnFOoszpUV/NObj4D0snU7auuu9b11DrxwOT9YJG1ZfVVEl0E0Syb0/UJPbK\n8S43LBfSZA6fN9kpygJyDBq9b8cepIEWicUWhqZfBfVxtXaaEDrCQEfDf/X6s7uUVZBWnvw1\nv6xIuUNtY/26MzuPLtim4UsGWAzmvK+natzVEgwa/diCX/f8uI7HbzLWUw9PbAWAk5PT7Nmz\nN23aFBwcfPr0afk8OjExccyYMRUVFWPHjvXx8WnpcIFAsGfPns2bN+vo6Pzyyy8AVq5cqdZn\n0aJFGzduXLduXWBgoKYx/ho+0hm/ceNGkUi0YMGChw8fLly4cOXKlVFRUWfPntXX13/06FGv\nXr3Idc//HsSCZi1vZ3YVbxB/AMUvUfQCsXtVKnbz65F0AvX5EDWBWwYqUybHIac+HxIhGosQ\ntR2591H8opk6x1uqlF66JSJFbHV9PjKuQMQDAF6lwjoDEDTAvifsesCuJ/xmylLPqQwYOEHH\nSiXymq0eG5ciNHTZdZs62J81cuD2l/k/DVeUjHKzcRq2eqrOQLcxG2fVcxtyEwuNhJX21Ap9\niizFYOf+o6R1JimpLieN3aR1w7Y9WOTjqmVLrepAz7ai1ADIEpt/22bJnnkqeYZNHP6hJRfI\nz77B7iMXvidbL/JOQo8RgaRBJ2nf09Pc3oRlqPfN5Z2eA7o26qpMS6kSKrtJEZR9N+qR8t7a\nxvqVJ36Vb5bWVNiYWs39eopG6wyguKpMdbO0ecHZrJIWMo8+ATZTq9U6v4O1a9eOHTs2JSXF\nz8/Px8enf//+bdu2bdeuXWxsbK9evfbs2aPcedeuXd27d+/evXtISIifn5+hoeGcOXPodPrZ\ns2fJSLv/Lz5yBv306VNtbe01a9YoN44YMcLb27tPnz6RkZH9+vW7d+8em/3xumL/LsjppDyE\nmcqEvoPsc/5jlUST/Mcwfrv4UJsJkdKalZgPHWs0Kk2vqAxQaMh/1KLKqBzyN99Ui/QLqM0B\nhQarQDiFqljk5kgkcPwA7U277qhKAb8OACi0Rru+AbNmchpLAfC5pYdPzFg251zCwbD4rOS7\n0Y9PhstM58n7F+kEJeRqaVu6zPpkiiyyxeaQqCdGMmgy0+kR4PT9xm+ujpxLbpaJ9bNE5oCG\ne0+Lys4tK8gtLXQxs39w9j2CYUwtun0bq4235l/cca+6pNY7yG3Y3FBSstnI3fGLPatOtVkE\nqEjQNbAVE4hdV4919Gg/+ktZEZac0nw1C5tZlPuOs3f27JCcp1hg6OThF5kayxeqPGjbu2jS\n+G7l74RGox09enTEiBH79u1LSEj4888/mUxmUFDQuHHjxo4dS6GozE2zsrKysmRZvlpaWvb2\n9j169JgzZ46r6/+z4uBHGuiamhoPDw8GQ90J6+3t/fDhw+7duz9//jwsLOzatWufHor4r4Bt\nBvevkXULgnpoGcFlsCLZT1CvkgYoUHp1aB75ZOiqYqANXZB1C3X56t2aw9QFgLTzsopZEiEK\nn4Ig0FD8rqN035MrJYOhB/85qEqGiA9Dl2dJiaR1liHmnnl8Z2Wfn70d3NeeUSlFeOXJbZ80\nhevGmVZaIDY2q7ZIt80QU2QPM1drx04eioUax15BpRZ+rJI0GsR5Ys1ZLQAi9CIdv9sHgEGl\nu/Ld7NDiLIbBovcc0RmAWweHn49rCAtJfJZeX6NinW06WUgIFRN889WfcgPtZuPEYjCVXwLa\nOr9ruX/9xEVvspNfp8WTxx6cs+lh/IuZu36R10/xsnfTWLewScBPykvT19b7O1STymoqqupr\nXK2d6LT/3UgtgiBCQ0NDQ0Pf0Wf+/Pnz58//iME3bNiwYcOGj720D+Uj/3iGhoZ5eXkSiUTt\nQQTAzc3t7t27wcHBd+7cGTt27KlTpz75Iv8dmPrC1BdigfraoJ69iltDT8mUGLiAzobwrbwA\nXRs2QTByRclrSIQQ81GhkoUsg8YGjaEeTM0ygpivrtFR8ET9WKY+BI2QigHArJ3m4iwaoTJg\n1o78KJfpCrYz2x7a0cvEMJfHQU0GDF3lapmyG1IV9CIAbYIv5Gt3TO6YYZOu56HdsU27dRMW\nqh1VxzZ/I3iXEliFQUWUIIb8LBALU+yTTWvNtJQUos1sjT0DnQszSg3N9YfO7FVX2XBl9337\nNlYaBfDkRWzlhAwMOHTzqLIUgzaLrfx598y103csJmfBwT6dvh8w+h1Xa6pvHLHzelJuukAk\n8HX0pNNo7rbOvTuE/PHk+vHwC3mlRVwB7/zj69MGjlE+6lVq7NerphRWlADo27HHxWUH1b6l\nj0YsEU/YMu9E+AUAdmbWvy/Z8xfGBbbyD/ORBrpr166XL1/eunXrggUaNG19fHxu3LjRq1ev\ns2fP0mi0fzi0+++leeSG8wA0VYFTBgA6VnDup9jF0IHPeOTcA7cM2hZw6AO6NvQdoe8IIQcv\n12kYnyAg4oGpCypT4eZm6kHfCQQVBEVmfNWQAjQmLPxh1x1iITjFYBmp1yrkloNbAbYJ2Obv\nvsUgL38ttpE+hXt1eE8DFgOAq44EyafRYdbYXsOUZTYHm6o4KCQgOFIWAINGgymWY9ee1Fzu\nOmiwnzzNRCMSOxWTKqFI69l1cgO99upsuSGWSqVrRu19+TYUz9zeeNOdBaQwE6+x6cqeP3MT\nC40tDdi6LG6DzNfEYNGD+wYMqQ299Oy2/BTjeg9TPuOE0BE92wdFJMdYGpsH+3R6b4ErCkHx\ncVSJsnKytLv87E5KXgaAnBLu9B2LX6XEPH7zqoHXOCDwy23fLx+94UfSOgO4Hflw0/k9y0fP\nffdZPpC910+ceOuGyi8vGr5mWt7pV61VaD9TPtJAz5s37+rVqz/99FN0dPTQoUNDQkLMzVV+\n9kFBQRcvXhw6dOjJkydfvnz5V1zqvxWWAfxmglsGENA2V5c90rGGz3gNR9Xna1bfJ6d1nDLQ\ntaFnB14ltC3h2FsmWWfejpRDUocACIBfh8KnsApUOMHl5NxRTLetOsNloNp+XlUNt6LGwMmW\nyqAb6OjdXXf87MVNBkop1BALUJMx86vxdBrt5JWdJfX11VzBkbJ8V1/W4HQd8yY6AMdvvylJ\nEdVXNbYN8fhuaYtC/iN+6i/kix6ci5CIJW2D3aVS5CYV5qUocrJ79esa80gl/JkllFnnb38e\nqDxNjr6f9FIpULosr+rnAVv3R62WSqU/D9iWHp1Lthtb6BtbGhSkl1rYm0xc97Wtm8Xxn35z\nt3W+H/PUWM9wTtjkbj6d1C7SwdzWwdwWH0txVdmrVJX6NcffGs3j9/6orK3KKMpR3vsiSdOf\n9aN4mhCpvFlQUZxTWuBk+R/X6Grl38BHGuigoKBdu3bNnDnz3Llz586du3DhQliYeqH7vn37\n3r17NywsLDPzXemznz1iAerzQVCgb69BOLQl6t+3rC/kwK6HYimSxGUwWEaoyYCQB65K8ABE\nfFQmAkBxBDrMBksp3aOxSMUZUvwSpj6g0FAaBYlQauj+54YbiSevQSrVtjDpu3+1TZBfN6/2\n3Sx+QZKqe4pCIwhi2sAxTjXPQk/eIttSqFxeAPXa1yusA3yN3ByGfMCt0+jU8auGjl8li0JN\nepm5b8HvVBqVRqfYeViNWznU2F7/YsrNzDKZCTOrMdNvlHm6n16OHjY3lMGi13EaZu5aGvH7\nGxeoLOMUZ1XkpRTXVzXKrTOAqtK68avDgof6yxNbdLS0101Y9IHKRB8BjapZEZDkXswTNlOL\ny1dodlsZv+e15sMxN1QJ16UQFFN9o5Y6t/Iv5+MXEKZNm9ajR499+/Y9efJEYwIhgODg4KSk\npMWLF586dYrPb1Ek4TOGU4rEY+DXA4CWMVy/Ar8OnDJACkM3GLq0eKCoWUYyjaEcY1ecUhe5\nc1NjWa2lv0/nn6eyTY0gEaH0NZpqZL4OChUSTe4OsQAFT+A6SNHSqC4YhMpEed45URbbOYSv\n3eQQdSnP0oHCebpfatqXsOoIfScw9WWhHQDo2jCUxX1fz1Hxj+c2NhBB7kYODmonaazlhp98\nXlNe793VrV2IR0M1x9jKQK1PVXHt8qE7uI1NAMQicUZs3q7Zp0qyK5worgZuRjourOpXDVaV\niqXO/NTipBcZ7Xt6ztm74uT9i8Z0DYnREpFYWe5OdmBKsdw6/wO8W16OADFv2JTVp7aTm2ym\nlnI24ycybeCYI3fOcZpkKx/fDxyty9b5qwZv5R/mk/5lPTw83luYy8zM7NChQ6RMn7wxJyen\nqKioa9eu7zjw8yDzmsw6A+BV4c1hxa7CZ3DqC5tumg80cJYJJ5FQGfAah8RjZMB1dQHn0spY\nkUAMoDI5q/xN2og7h4ikI7IQDmVIRzOnVKWRU4ysm6jPBV0HtsFgNZtANahkUmgbMjuPcLJv\nZ2TlYQAApZEojUTbyfCdKHOga5nC4UswZL9zLTMPQEU0rnmqcW1Fw8yuq6uKawFc+O0uhUJI\nJFIrJ7MFRya6d1A8zmMfpnBV1TNKsisAUCU001Rzeg5di6+e4NNYywVwPSIcQJV+VZFpkXWF\nIs3EytnMwcu6rqpR7aiGGhUleCFfJGgSfEp52XdDo1IJgmhJEj6sW/9VYxd0cPW9/fqhgbbe\npH6j/sJAjjZ2rjF77+y+dqy6vvYLv64fkjveyr+Wf2hOYWBg0LOnojTG9u3bt2/f/t6KBp8B\nje+Mcsv7E9ZBGoLtAJj6oLEYhc8gFYNlCPdh0HeA7yTkPwK/Nj0hV6QU51AWl1IVcc9Ekqth\nHF1rGDgi9YJKI78O9W9D92qz0G4KDJwVxVwIqmL5UQmZdZZT+Bxe38FTQ32mkV8O23XjtDwQ\nrZtPJ2dL9TC4mwcfkdaZRCKRAijOLl/77b6jieupNNl3QqG+yykk5KsHYFBpVM9AFyg9Et44\nxxeY5VtwLNzL3L2DXKduGk5j0LT11TXMtPVkLWKRZO+8M3dPPBOLJJ6BLvMPTSC1lv5a9Ni6\n/Tt9cSPivrxl2qAxzxNfN3A5AwK/WDP+JwCDu/QZ3KXPX35qAG42Ttunr/o7Rm7lH+Z/N0by\nr4FpqO4LVkYsgIgLerMXTLEATdWwDYFdD4i4sti4shgQVLh/DRpLdH0X8FT5CGHWUzhqsmVi\nAYw8VbK6qUyFXwKARISyeJkeCIlUDIFKXLBmWqz/Aj9Xn1trT274fXdJdVmwT+CKMXObBwmQ\nlaiaU1lUc3XPfT5P6Oht3alfW7+enkw2k8/V7P4iKIRUoniKEwSmbxtJ+knGfPn1urM7yfYa\n3ZrVi+f9MGicvKeTt62BqW5theIWAkJleb2Xd4XfOiLzyCdHZG6dfGTzvZ9autNP4cTC7UuO\nbLwX/dhQR3/20MnffvEh/vlWWlGh1UB/Gg5fIvl0i3tZhhqsc3kcMq5CzAdBlaVi1+Ug8YRs\nVkvXRtspjn26Ru1UaP7qWpuZ2jQri0Vi5AEaC34/IP8xGouhbQXztojbp9JHIkSjqg9ExIGR\nO6rT3nVrNJaGWlxv6dGuS4927yr74treLvzUc4275GncQYP9Fp+cuvaPH/Z8u76pgVst0SV0\ndCRCMf9t5HKP4Z0SX2SW51WCgJG5/ua7CyydZPUSV46dp6ete+HJDRqVNrb3sKn9v1M+xb2T\nz+TWmUqjTFg7TF7tO/ZBsnLP5FdZPA5fuUz4ByIVS+IOnk+/Ek5QqR7DQn3HDoHqU8pQR3/P\nj5oiKVv5B4mOjt63b9/Tp0/z8/PpdLqvr++4cePGjx8vT+DYsmWLcqwwQRBaWlqWlpbdu3ef\nO3eumiRpQ0PDsmXLLl68WFpaam5u/tVXX61evdrAQH1l5S+k1UB/GiZe6PAjKpNAECh+pTLr\nJChw/xoAuOUoeQ1xE4zcoWuL9Le6zFIxcsOh74ismwqfg5CDnLvWgd/12r705Yb9nPIqCz+v\nnmum0jiXlc4qhZQAnQWbrjBvB6kYDD3Y90T+I3BKUBYFloFKnouxB4QccJSWClkG8B6Lphrk\nP0R5rObFxpoMZN+BU9+P+FZqKxrqqznmdsZl+VUAQGgOKXx+NSbm2qvYpWtceBWggcpihh5a\np+3mduvw44YqTrsebS78dqc8r5K84+rSuqjwpIFTZQaaRqUtHD59oZJIiBwBT3hw8R/yTbFI\n0tSgcHOz9VS8H3QmjcH8mGTXyG1HX248QH4ufhUv5gs/RBe7lX8MiUTyyy+/rF+/XiqVenh4\ndO/evaamJjIy8tmzZ1euXLl8+bKy6Kazs7ONjQ15VGNjY3p6+uHDh0+fPn3u3LlBg2Tr7UKh\n8Isvvnj9+nW3bt2GDx8eFRW1a9eux48fR0RE/H2aFq0G+pPRtpCt1DWWKJebglQCliEaixG3\nTybiURoNM1912Y26HHArVFq45QC8vh3o9e1AqVhCUCmAFNERShaWgO8EGDgi8waerYBUAiMP\n8CpkonS12aCxoWuDhiLQ2bDrDiMPMPRRk/FW8okKxz4AwDKE21BYBiB2r+ZbK46AYx/NPnQA\nEhEq3qCpFnq2MiUmAEB1ad2MoNXyOIr2PT1HLuh378SLzPjchmpOVWmd8hhv9p5sLJHdvriJ\n/3LVzjEvzk1aOwxASU5FTqLKYmbsg+SBU3vILi2rPOllhq6htn9vH7LMoJzSvEq5uh5Jfqpi\nqaDv+ODnVxXr1X3HdZM7xP8jkn+/qbJ59sanGGi+UHDs7vmaxroQ38DWxL+/hFWrVq1bt87L\ny+vo0aMBAQFkY0FBwfDhw2/cuDF79uxdu3bJO8+YMWP27NnyTZFItGXLlsWLF48cOTIuLo5U\n5Dhz5szr16+nTJmyf/9+stuPP/64c+fOQ//H3nkGNHW+bfzKTkgg7I3sJbgQN7j3xFG1qODu\nstZardrWUUdtHdVa96hVi3vWPVBxoSiigkzZUzYEyE7eDydkM9TY+n/L71POOc85OcF45Tn3\nc9/XvXfv3Llz39OnaBHoN6csGQXRkAph7gXHYJDr5180tmZMgAQKE1nXNbrEluo4wdONYWSl\nsdhoZK18SaKQFZfym4L0C6jOBp0Dp94w80DWDRTWu7aXabghQ1IH8+5o/wlI9crFtoHLAGRe\nhUwCSFEQA3NfRU8AYyf4T0XeHYh4kIo049diSIXaDnzKQ3E7VNkjasUvl/+4o57l9vzmS1s6\nj2Jqm5Wob0G1UiNUXfEqRyaWkGnUm0cfbpunHTtimyrmKVcP3tv29WGJSALAxc9h/bVv2Wrz\nYltnSzqTJhKIlP8WrXxUiXoB/Vqv+fvrS3uj6nj8zoPbDpvVW89dNQMJX9DI5hsRGXdv2A9h\nQpEiyXLu6OktS3zvSFJS0po1a6ytrW/dumVlpbJ8cXJyunDhgpub2549e77//ns7Ozu9p1Op\n1MWLF1dVVf3888+rV68+cOAAgMePHwOYPFkVTAsPD//999/j4uL0XsQgtAj0G1KeipeKptGo\nzgG/XBHHAGDbCa+fquTYpj2oTO2lNpkYJs6qKhWmGSz9wTTHy4OK6S3NSL//HNMUfmph1upc\nlTrr5XUsaGwwzWDuiYKHyLymkblRmY78+yrDfnMvhbd17m1kXlMN49jrV2dAVhBLVs/tK4j+\n7rPHfDFr1Of9Sgs0vP9lIF29mtOOcocCZ6mmve34b4bY5MdWvVLZ/5s42//188VHF59lJRWo\nLw8SDJ3eE4CgVrjjmyOEOgPIepl/dtuNSUtUtZF0Fm3W2vHbvlbou3Nrh1Gf91O/Toc+vh36\naJtcvymug4ISDp1TbroNaiCfsilEEvHYFbOV6gxgy5k/Zg+d7Ofi1chZ/894XVJ77GxyHV88\npJ9bOz/rpk9oikOHDkkkkvnz56urM4G5ufmGDRsqKiqazCL7/vvvt2zZcurUqX379lGpVHNz\ncwCJiYnBwYp/69TUVAAODjot7gxHi0C/Ia81S3KLn8MzpH4q6oB2s5D/ABI+TD1g3xUATJxR\noVZIaWSNttNR8BA1BWBawL4LypJQW4hW/UChg0KDhW9DmgjIkXsXxXGQCDTmuXoRVODVOcVd\naWY9K9C70zEYta9R/AKQw8gGPh/pGQMASLn72Ffza0kSlqfEidbN2Dvi0z5ag2Vy0nOJsyWJ\nVyzXSGq+e+YJhyx2NzKS1dUBoDLolQ5tr6+7CB2cfe2/3DLZt4t70qP0NVN2avkf5eg4ewyb\n2atNkFfCgzRTK+POg9q8jxKVniu/kgpFaeciSRSK99hB3b57M9N9JSm56VV12mU1iTmp/x2B\nTk4r6zb0UGWVEMCS1VF/bR8xaVzT3QIb58qVKwCGDdPvJD5z5szmXITD4XTp0uXWrVvPnj0L\nDAycNGnSxo0bFy9eTKFQOnfuHBcXt2DBAnt7+88/17MQYihaBPoN0XLul8s0+gcaO8FHMxDp\n1BO8PEW+BNMMPh+BTKuvXpEj/k+VobOxE9yG4HUcmKYw99GI/NaVIOsaqrIU3ar0QjWCpE7P\nfr1CTNyMLiQKfCbAYyQkAjBNG6lcv3OtwHea6qhEguxsxZT22a0k3RoNGcg8aP/wEDUpWXAb\nPMCxx4i2TsGdp3ZdqzyqHi0aNqt3664ecpl8bfju8kLtHydHL5Ut1K1jj64evMfnCexcrdr1\n8vEOdG1Infm1wj2Lj987G0umkPtP6jZ1xRitWHbj0I3Zg7avGPj7MpBA0vF0bD7WpnqKIVu3\n+q+oM4DVmx4Q6kzw7cpb7y7QeXl5ALy9vd/xOoRbf2FhIXG127dvT5w4cdYsRdNke3v7O3fu\n2Ns3z9T3rWgR6DdEKzuN66ywMWoIMk2RLyEVwMgaJArqipF5DbWFoHNQnasaycvFc0VWAEyc\n0W6mIoIs4SN+n6peUQ8kuA0G2w4vD2rEuxuBxoFDjwaPUlkNz+IVREUJ2/mSu3alA5CI5fv+\nqC0vVzgs56YUASBBLlcJrBwgicl06MsWEYNy8ebrYT91Z9mbSyUqm2blyTatLPqM7wygKLu0\nNF+7d6Kdi9XoOQOI1zePPtww6w/idVpc9p3TT5hLGCtOzGnbU89/1L1LTlz5U5FsfnrLdQaL\nPqVhg6eGqF8keHtszKxC+4Ucjjyr3DNt0IT/zvQZQEaWxi9uQVFNHV9sxHonH/mqqio6nf7u\nZvQMBgMA0R+qsrLyhx9+yM/Pnz9/fps2beLj47dt29azZ8+bN2+++y9BQ7QI9Bti3wXCSuRH\nQy6FqRu8mug7CQD8cggrwbYBiQKJAPH7FQEKfkWDM9TqbLx+BtuOAFCZ0ag6A1wXxZS841co\nTYCEr8cnWgndGA5BsA0Ajd3gmGbQaWDblaseeHtTrawor9IkRa+1pVcOEp0kEcmJLxgJgG83\nr+SYTLFIT/8UmVS29/sTK0/NbdfTO+6Wah3Vt7Nb4KA2w2f1JmqyTSw4unPzIdODOfWLhzci\nNArQAQjqhLsXH9v6YJlEJKFQKSSy6i8efUFjbefB+WdvIdAASqrKIp/eK6oovvgo8nl6kqud\n08rwhYMCezV9Zj1/Ltjco3Wnk3cugoQ5o6aNCXqb1Mb/Xdr5WUc/UT3neXuYv6M6A7CwsCgs\nLOTz+SxWE1ONxuHxeAA4HA6AmTNnXrt27dq1awMGKCYEISEhvXv3DgsLe/So0QWhd6BFoN8U\nElwHw3UQZFJVZKNB5Eg7i8LHAECmwWMEaBxV+Lhx5ztlI9cmu2Ep6yNYFvXrfiTkarVRlwMk\nmHnCd2KTs2PUlaDgAcR14LrCrpMqFUSN2esmiMWS++eeZuXKe4wMdOUJn0a+FKqFhq3IVW6U\n4qdiNzEoAOhkqYWtiV51JiD6wM7fNe33Lw89vZnIYNGHz+4TtnSUuqSyTViBA/wfX4tXP1FQ\npwo6Cev0dHTMTSlaPm7L08hECo0yKCxo9s8TiLw6imZA443iG0oeJj0d8t3kyhrVL2hJVdno\nFTOebLvU2rm5s2Aalfr5yPDPR4a/xQ38P+DHRUG3H+Qkp5UBMOUydq43QPm7m5tbYWFhcnKy\nsl2sOoWFhRUVFVpFKHpJS0sD4OLiwuPxTp8+3aVLF6U6AwgODh4wYMDVq1ezs7PfU+vCFoF+\nO0jNUGegNFGhzgBkYrz6Gx4jtceQyNDpMQrUuyDxcvG6qSSeygxUZ2t0cnEdBEs/lL5Uk2kS\nADBM9KuzhA+ZRNHEq64EcdsUofaSePBy4a1nqZBtwvp230zpLhmZTCI0tLqsZrLnQolYMZU2\nJ9dwyXVBjORSqTEgt6TwXme6NPIhHNxtAFjYma44+aVELG1ILhfsmRbeeomgVhWy7Nhf1TWm\n0+C2STEZWqfQmLTHVxMASCWy87tumdtyJywYCqDP+C4nN19VDus7QdsSujnM275cXZ0J+ELB\n39HXmy/Q/3GsLY2e35oWFZ1bWyfu2dXJ3MwAnWUGDx58//79S5cu6RXoTZs2rV+/fsWKFcuX\nL2/kImVlZc+fPzc2Nvbz80tLS5PL5S46lo2EkWdhYeF7Euh3jaA1hFjc2LxvypQphw4damTA\n/xN4eRqbMgnIDI3YApkKEhUA6CawCVDtN/OAdTtkXUfcDn1tYXXm3rqGosaOcAzSHskwQ20R\nXsehOgfVOYj/AzHr8fBnPFiFh2vxbAeElSh6rLEQ+jpO1bJLBwqVrJzhmlhwZqz5SLkiZ+Vq\nB4AGiR2lwo5SSQJqeA00LAeYRoypP6qsKhqZzIoEkq5D27E4TAAcLmvO5km+XdyVRz/6evCQ\naT1pDJryg7PYDCFf431jrigm4GFLR036boSzr72Ln0PHfq0To9MPrjpXXd4MlxI1ErIaLZdv\noXnQ6ZQBvVxChngaRJ0BhIaG0un0X3/9tbS0VOtQQUHBn3/+CWDMmCbikxs2bBCJROPHj6dS\nqdbW1iQS6eXLl1pjkpKS8D4z7Qw5g87Ly9uyZcvl5HWmdQAAIABJREFUy5fT09P5fL6JiYmv\nr++oUaM+++wzrXL1jh07duz4HyiXYmhbZYJjA/8wpF9ETSEYXPDrvz2iapQlot1s8EvAMIOZ\nO4TVyLml/7JkErRyhFl6MgFAY8OhO/LrDTEYXEjqEFvf9VV35l6di9QzSk9RFeIa0PRXskol\nssLMYgaLTnSZGvVZ306D/FMeZ1o5mjvYGx3tHy6sUqSBpxi3y0/V7ypFppC3PVhm595gA1kl\nRI1iVanimm17+gyd0QuAXC6/EfHg7pnYvNSi19llcrmca2k8YHIPRy+bjv39Pg1cXitWWeMz\n6203qHTqpCUjPvp68Nd91sZGJgLAedw/G/vb3e+ZRs215vB2clfvAUbAYjBDerwXm7oWmomb\nm9u8efPWrVvXs2fPiIgI5Tw6ISEhLCyspKQkPDy8TZs2DZ0uEom2b9++fv16DoezdOlSABYW\nFn379o2MjNy7d68yS+/48eNRUVFBQUFOTm/ffKdxDCbQhw8fnjVrVl2darZVXV396NGjR48e\nbd68+ejRo336aKfH/v/HpgPy74NfpggBW7VVVAm2/xQAsiORHakaLBFAJoatoiZVpd26yGQw\n81TNrM29NToD5D9E/l1IBTBxgftwmLqjKhMME5g4IU7NRElvXKUqE+4jNIIqDBOw9LtxZicV\nrJm0My+tCEDnwW2XHJjNMKLbu1lTqJTf5x56cSeFZeTXri2ztbXIuLXvtfVPGvo0cpnc2KLB\nFcv7fz99HpVibGY0eGrwreMxSnUG8OB8XEFGsb2b9cnNV/cvO038ZBEz56pS3pU/7xxM+YVp\nxBgwpcfZbSrbz8HhGi7kz6OSifA3QW5q0ZNrCUEhzZ09rJv1/YilU/lCAQAqhWrKMfZ0cFsZ\nvsDHqeFeDS38I6xZs+b169cHDhwICAjw9/dv1apVXl7ey5cvpVLpgAEDtm/frj5469atZ8+e\nBSCXy3k8XkpKSl1dHZPJPHLkiDJ2sWPHjqCgoFmzZp08ebJdu3aJiYkXL160tLTcu3fv+/sU\nhhHoBw8ehIWFyWSy0NDQKVOmtG7dms1mV1VVvXjxYu/evRcvXgwJCXny5AlR0v7WiMXizZs3\n79u3Lzs728HBYdq0aYsWLaJ+yF3lKQwEzEHhYwgrYewE67Zqx+SAjkSqZ+wZNTyj5NijzVSU\nJqLuNYxsYNlaFcpQF/2yJNQVI3AeLHwAoER7oqcHKgt2gagtQEEMIAfTFD4TG/Li+PXT/YQ6\nA4i58uLo+kvhy0MA/By2OyU2EwCvin/vMb/rnum+XdzRsEC37uquTMPQ4o+lp5Rh4r933Ow+\nKkBrQMXrans360t7o6AT96mprMt6me/TyW36yjHmttyHF58zWLTBU4ODxwSqD6sq1bb2Vzcp\nbZJ+HYKS9t2++CiSSqGG9BhkbWp4a+kW3g4qlbp///6JEyfu3LkzPj4+MjKSwWD06NFj6tSp\n4eHhZM3U9fT09PR0hWE6i8Vydnbu06fP119/rS5Znp6esbGxP/7446VLlyIjI62srKZOnbpi\nxYpWrd5jv0fDqNuaNWukUumuXbtmz1Z17rGwsHBzcwsJCVm6dOnq1at/+umn/fv3v8u7zJgx\n49ChQ8HBwcOHD7979+4PP/wQHx9/9OjRd7799wmFAUedxjEiHl7+BV6uxk62HThqkSy6CVwG\nIOu6YpNMVeQ4s23hMx4gwdIP8IMWWgl2/DLUFMLYEWggDKKFQzeABI9RcBkIcS2Y5g2ps7BO\n9OpZjvqelw/SAFSW8Ah1JpADjy497zOhi6WDmXoKs5ExSyaViYTidj29v9oa1tBbnP79unKz\ntppfpdnIim3CcvV3JA7pvYKptQkAKp06bt6gcfP0xxxad3WnM2nqpYn+3d9sGuFs4/ifTcD4\nwCGRSIMHDx48eHAjYxYsWLBgwYJmXtDR0XHPnj2GuLXmYhiBjomJ8fPzU1dndVasWLFr167r\n16/rPdpMrl+/fujQoSlTphw8eBAAMVs/duzY9OnTBw7UZ17xIZN+QVudAdQWIucGnAeo5oKt\n+sDCB9V5YJrCzANSMaRCRa6FXqRCPTl5ylAG20aR2kHAsgC/TGOkmafKnaOpWhU6i2bEYaor\nI6GGNAZVPVWZBNBZdBKJ5N3RVV2g63j8vc9XWzmY0xgNfgMrSqplUo2HDLkcIV/0P7cjUi6T\nm1hw5u+camTMBNChb+u7p7Vn6N2GdyhML85LKfLr7kEsKurF3t36i02hOxce49cImEaMGWvG\nufi9R2uFFlp4Iwwj0Hw+v5F1TAqF0qpVq8TExIYGNAfCG3DFihXEJplM/uWXX44dO7Znz57/\nPYHWbS1IkH0befdh1wWugxVTV7Yd2PWGWxQ6KPTGLkthaLR5BUBhoioTWdcgEUJQBokAZApM\n3WHbCWxbPN6ocTrXtfldyUkk0pi5Aw+tVrkFhXzRDwDbhNVtePsH51VR7H4fdwNgZmOidQWm\nEaMRdQZg42TBZDPUM+qKskt/PPXlhAVDyouqHNxt6PXlDJ9v/LiOx4+9/pJEJtm7Wzt42Li0\ndog6EfP9qM3EW686/ZVb2waXcQZM7tFrbOfXOaXWThYMo0b/wi208M9iGIHu1KlTdHR0aWmp\npaWeGFxFRUVSUlJAgHYA8Y24e/eus7Ozm5ubcg+xefv27Xe5rCGpzEDWdQgrwHGEywAIKiCX\nwNRdz1SUzlG43Ol2LJGKkXcPdBM9gZHm4P2RyhiPwoCZBzKvagyQSVGeCqfeYFnAuh2Kn9ff\nkjFsA7WvJuIh5xZqCsGyQKs+yiDJ65LaNZui4+IrHHsHepvIraw5g6cGu7dTROLm75pm52YV\ndzPR2JwT8kW/9r19APSZ2PXCntvKC3fs72duq5PiogmJTLKwN81PU+V+vM4plUllXEtjrqXG\nYwTX0njCgqEdevsamRhd2HMr5vKLmMsvlEcrXlfvWHCk8b5WdBbNyVu/82QLLfyLGEagV69e\n3adPn5CQkJMnT9ra2qofqq6uDg0NFQqFK1e+vcVteXl5RUWFrsS7urpGRkZWVFSYmemz/vkn\nqStBwgFFhEGYiPJkRWyByoL/VJhoTt8cg5F8HGh4wlqe/JYCbeqGLotQ9ASV6SAzUK5jP01Q\nlQGuC7w/gqk7qnPA4MKui3aCnUyMF/sUBY3V2ahIQ8e5oLEFQkn/sccSkhUu+9aWRi+iQmys\nVGkYRsbMGau1O0n7dnZbc27eqS3XKkt47Xp6hy4e3pxPY+Vgpi7QLDaTrM/7YvPnB64d0t9e\ni+DV85xGjrbQwgeLYQQ6Pj5+zJgxx44d8/DwGDFiRIcOHbhcbl1dXWJi4tmzZ0tLS729vY8f\nP378+HH1s3bu3NnQBbUoKysDoNv7i8vlAqiqqlIXaJFIFB+vylggMsnfO2WJGvFfZeRXwkf6\n3+jwhcZgujFoHIhrGiwjVDQBaLAlYGPw8pFxuYkxRLEMiQzbQD0TZ4KqLFW5OQARD2VJsA2M\nflygVGcAxaV1Zy+lfRLevsn76tC3dYe+2sW1UomskYYmQ2f0enY7Wbk5bKYeg4vkxxmNqzMA\nW5emk6z1wquovbg36nV2qWcH54FhQW9XDt5CC2+NYQT6s88+I17U1tYePXpUN7MiJSUlJUW7\n5qr5Ak3UJRLOUuoQewQCjWYWhYWFgYENiM57pGHz75oiDamVCJB4GBI+0EAyMgC6MR6uhbgO\nXGd4hqgykWsK8eoceHlgmsJlIKzaapxVUwhhBfKjm7hThgksG0zRV92kblfvnFsojLEW2lEp\nkKiZI1Xx9PfkbgS5XB7x0/m/d94U1Arb9/H98rfJRKmLFkEhHZcf/+LawfsigbjHqIBBYXqe\nKnJTi3R3qkOlU6f9+DYdtWur+V8FrynKLgVw9cC9mMsvlp+Yo9u/vIUW3h+GEei1a9c2Pegd\nICypRCLtWmGhUAiAzdYoc+ByuYsWLVJuFhUVER1r3i/mvsi+qd/tk2WhMRGuKVCosxL7rrBo\njcpMVKZBKoRciqL6nITKDLz8C4FfASRIRXh5sN4JrxxJR8E0V6TQQY6kYyh5Aeidc5NAIsPY\nDjQOWJZwCNKuDCRmx3I5LLxBYSL5OMqTAZ1qQ0EFBBV+tLyfJrO/PaD65gzo5dKsP5EaVw/c\nO/zzBeL1k2sJ62fsW3d1od6RXYa06zKkXSOXaqUTO1b+GA6Z1tPG2aLrsPatfN4mvhx1IoZQ\nZ4KYq/GZ8XmNLDa20ILBMYxAL1682CDXaQgiglFVpe3UTuwhAh1KTE1Nf/75Z+VmbGzsPyHQ\nbBu0noSs66grAYUKiQBEqhmJBFN3jRm0rn800wxmHjDzwCs+Ch5qH60rBr8MFDoqXmk3UilP\nVgh0SbxCnaEzlee6wH8qyBSFKZ1ciqJY1BaCaQGb9qBxUFOA53sUDbEyaDB1V6gzALkMFBqk\nYpAokKvmzF+OwLZIk+y8aktz1voVfTq0sWn+36m6rEYilsZcfqEevnkZ/aqssNLC7m3a13sH\nug6c0kMZ5fDs4GLlZMZkM4ZM6+nX7Z3K+cqLtL9vpYWVLQLdwj/JB1yGp4apqam1tXVmZqbW\n/szMTHt7exMT7RSufwdzb4jrkHJCMxgtR0E06MZo1Vuxh22r0ZaQREF+NLJugG2N2gae1rOu\n668DJNX/89Xo68cKgG0Hr7FqyXlyJBxQteDKuARjR5AoqnaFMjEqX2lcgUxHl8V4tht1qsU6\nJg1ZTz8rrxCYmTKb/8RfxxOsm7Yn5mo8CGdntUNyuXyK17eW9mZrL3/j4NZ0Szp+jSD6/LO6\nGkGHPr5SiczOzWrI9GBzG65/D692vXyae0N6r1xWmX37EYlEcu7dxbezu/ohOpPm5GUXdzOR\nTCH7dnGnM9/Vs7iFf4DY2NidO3fevXs3JyeHRqO1bdt26tSp06ZNU1YS/vDDD2vWrAGwfPly\nZRavOkTrbgBpaWkeHh4ANmzYsHChxgMflUo1MTFp06bN7NmzQ0NDDXj/hhTojIyM5ORkgUAg\nk6meiyUSiUAgyM3NPX369Lu0vw0KCjp9+nR+fr4y4TonJycjI2PcOO2EgX+Thhq5FsWoBJpE\nhn848u6gKBYiHuRSCCsBojeVPrUzstKvzhQ6rPwVr5k6Adz2n4BuDKaZxjWrczUaJALg5Wrb\nPctkGmuTVCaoLFj4qAs0LHwBvKnx2IEfzxDqDKC6TLvAGkBpQcX3wzb+mfRLQ1eoreb/veNm\nyuPMhAepdTwBACqNIpfLiT4sNAa1bc/G1FkilmbG5wFwbeOod7nv9bOk0+O+FFbyADDNTMae\n2TZ8du8Lu28DoNGo478e9O3gdWUFlQBsXazWXpxv06oZxZkt/EvIZLKlS5euXbtWLpf7+Pj0\n7t27oqIiJibm3r17Z8+ePXPmjJZLxJkzZ3QFWi6Xnz59Wu/13d3dHR2JACOkUmlZWVlUVFRU\nVNSrV6+WLVtmqE9hGIEWi8VhYWHvteo6PDz89OnT33333Z9//knUqi1ZsgTAJ5+8ZbPO94JE\nf80xJBrLmKAyYdkGObd1xmmGJ2gcWLWBhI+6Eo39TDOQqDBxgqBSsX5o3R4F0ait11DbTuDY\no/gZhDyYtFJZKelpNUuCXKYRgWGZgl+uOm7fDQCc+0EqwOtnkMtg5Q93/b04G+fFHY1VYhqd\nautqlZuiYZRanFdZU1mn15pDLJQsGbaxvr5cccNK+2liwKHV59Zd0R/LLs4pWzpmC/F2Tl62\nK898pSuvd5dtIdQZgKCi+vYPvz1JV0RdxGLJ6a2RdTzFv29RVsne7058/9enzfvoLfwLrFy5\n8qeffvLz89u/f3+nTgoPstzc3AkTJly4cGHevHlE7RuBra3tixcv0tPT3d01Hpuio6Pz8/M5\nHE5NjfaUYs6cOfPmzVPfc/369eHDh69evXrWrFl2doZJqzeMH/SWLVsIdfb09OzevTsAFxeX\nnj17enkpPMu7dOly8aKebs3NZ+TIkaNGjTp48GBwcPDixYuDgoIOHz48efLk/v37v/v9GwzT\nBoKeNLYqjEAgKNM/Uh0JH3RjMHUis3IJ+CV4/RTxfyDzGgBQ6OjwObxGo1Uf+IXBfQiebkXq\nGWTfQPwfqqw7xYqi7u3VZ0BTmRpfCWMnOHQDADIVHqPQYxmCVsD7I1Ca68apjomFRp61WCTR\nbTBIIqGh0EH8vVQ19w/9gZWirAYtAHctOqb8MchNLfpl2l65TDvxpixFI4b2+kVqUZbqp1Gp\nzgSv4rLRwodKUlLSmjVrrK2tb926pVRnAE5OThcuXOByuXv27CFawRKEhIQAOHPmjNZ1Tp48\naWxs3KtXsxqYDRgwYMyYMWKx+B1tLdQxjEAT6rxhw4bU1NS7d++ampp6eHhERUWlpKTExsa6\nuLjEx8cT4Zt34dixY0uXLs3Pz9+8eXNpaelPP/20b98+Q9y+4XAdCMt6AyP1xUB+GVI1/+3Z\nGuU8+pFLkXUNXDeNS3HsIVRLgMuNUkzPyTTYdoLLAFj4oPCJxqQ7764iZ45pBhedsniWOTp9\nA9+P4TsRLgM1bE55uSh4qNZKnPQ2edn1jPy0r9Yefo1Aa49XgHNDAq1uNNoQHu31d7WQSmTP\n76RA7QklOSZ9yfBfJSKNrBtzT43TqeaNRTBsXFqM6wyHqAb5D5AbhVqd1hNvxaFDhyQSyfz5\n862stFPgzc3NN2zYsHr1avXmln379jUzM9MV6NOnT48YMYLJbG40jyh1Juo2DIJhBDolJcXU\n1JSY8JPJ5MDAwHv37kkkEgABAQFHjhypq6vbuHFjU5dpAgaDsXLlyszMTIFAkJKSsmTJEjr9\nA3NOoDDQehJ6LEf3pRo9qACUvtRIwmNZwrlfs64p4qHjXDj1hE0HeI2FkVbKhBxC7XkoBOXa\ne5S+SOY67Ye5rqAyYdUGVm0h0Wme8uo8YjZoNDJ/W3qMCvjx5NxGFN7KyeyXBgIUAHy7uKn3\nJySgMajKibmts+WstXq6cwGIWHu+rpoPzZ+XF3dTIo9q5MwErfiSzlFEV+jG7IBvZqkfpdIp\nFJoiJEhn0t6uw2wLeqgrwZNfkX4BmVcR+zuKn737Ja9cuQJg2DD9sbiZM2cuXLjQ3t5euYdG\no40YMSI6OrqoSLVQHxMTk52d/dFH+r9UeklISIBBG6wYzCzJz8+PQlEsvPj5+d24cSMpKYno\nWdC1a9fWrVvfvHnTIO/1P4AiAqBbuqK5x7kfrNqgphAiHjIuNXg1pikYpnCtt0yUClGsttZK\noesx1Odoxr/IVLDrZZ1tDbqxRhGKmVrrPI6+L5ZUiJRT6LZEQ9+I1uYiHrjOsA0kVhqFdaIj\n6y4+uRbPZDOHz+rde3xnrSt1GuRv5WBekqf9+0Eikb7aFtY/tNvJ366d+f16HY/foU/rLzaF\nqlevGJtztIISjl62oYuG3z4RU5pf4RngMnPNODZXZXsil8tTY7Oqymq8AlyuN1Bq+NsXh3Z9\ne6z7iA6frJtgbMa2C/QPf3Qi89p9AG6Dg42szGeWyA6uOisSiNkmrM82fOzevtWD83EUCjlo\ndEf7ZmSbtNAscm5pLNJkXIF104WpjZOXlwfA21tnOtIwY8eOPXjw4NmzZz/9VLG0QMQ3Bg8e\n/NdffzXnChEREefPn+dwOAa0bzOMQJubm1dXq7x6iWhGQkKCsqmMk5NTVFSU/pP/v2Lph/JU\n1aa5d30BtxpG1ooeKxQacu9AXAtTdwgrVT0GzTzBdVG8FlSi6DEkfHBsUVMEAGQavMbouaxN\nR5S+VLw7mQr34SrDJhIFvhORGAFxHUCChQ+s2gBylCQoChRtA1VlMkrENRBWgVEfDRdWIfZ3\nxYpo8TNUZsJ3IoBt8yNuRCjqGBMfvqIxqD10LPbDlo7a+Im2Lbijp83AKT0i1p6P+Ok8sSfm\nyouayroN11UOR0YcJovN4KuZ21nam66boWhmkRGfK5fJ5m1X+DKLBOJlY7a8uJsCgMVm6ESb\nlcgFtcKbRx9WlfJWnfkKANvG0n+Kamo8Zu6AIdODi3PL7VysCPM8Z1/7hq7Vwlui9cAnqoZM\nrOdb/SZUVVXR6XQa7Q0uMnDgQA6Hc+bMGaVAnzp1qpH4hrIJCwCJRJKZmVlQUEAikTZv3qxr\nSvHWGEagAwICrly5EhcXR/T+8vHxARAdHf3xxx8TAzIzM4lqwP8QtoEQ81H4CFIhzH3gNrSx\nwXZdYFffVVomwes48EvAtoN1O8W8lV+Kp1tV7VxtO8LCD8aO2g5HcinyH6A0AWQaWvUBxw4c\nR+1lRl5efR9YOcqSUPQYlZmq50ojK3SYg5xIlKl5mJCpGj7URU808lVKXsBtiITMiTr5GGpE\nHo7WFeh+od2cvO2uHbp//dA9sUgKgEwhT/x2mKBOeOLXK+ojEx++qi6rUUYwSGTSmK8GKhWc\nzqRRaRrf3sgj0Z9vDCVk9NyOSEKdAfBrhVojdYm98bKqlKdlkkfA4jCbFGWJWFpeWGluZ9pi\n1vE2sO1QreZmxbJ8R3UGYGFhUVhYyOfzmy87TCZz2LBhp0+frqysNDU1ffr0aUZGRiOBWfUm\nLDQazdLSctSoUXPmzDFs2oJhYtBhYWEABg4cuHnzZpFI1LVrVy6Xu3v37nPnzpWWlq5atSo1\nNfWNHjf+X0CCU090XohuP8B7nJ6+q2XJeLYTjzci9RREakk8ZCrsOsFtKGw6KFyhZWK8Oq/Z\nbPsZBOXIjkT+fY39WTeQcRnVuajMUDw56iaBFMZobGZHakT96krAy4XHSI3u4y4DNNKlxTpZ\nzKIamUSm5a8vEioKdiQiydUD9/YsOX7lz7sSkcSro0vXoe0IdQYgk8ou/3En40WuelsTACBB\n2SOcYNKSEd8d+mTglB6jPu/3253vtVyWpBKZoL6Bd/JjjXwMiVgS0K81lUahM2g0un6xloik\nevc3yfWIBx+7zJ/qt+Rjl/mRh5syQmlBF5d+qgZvVCY8Q979ksRiXXJyst6jhYWFeu3px44d\nKxaLL1y4AODkyZMcDqeRbiybNm2S1yMSiQoKCs6ePWvwpDLDzKAnTJhw5syZEydOzJ8//9NP\nP+VwOF999dXKlSuJ5BWCr7/+2iDv9T+PoAIVryCsVDXt5pehrgTtP9GfIyGsxLPdimIWJXIp\n0hVeFiiKRYfPIKoBhY6iWI1hr5/qMavTSsoWVmsPEFaAwUXgPBQ/g5gPMw9VmIXAxAUFaiU5\nNCOwrelkWvs+vrHXVX3puw5rD0AmlX0/anP8PUW050ZE9C+XF9w9o3GfCQ/ShHztXjCtvO2J\nhinqBIV0VHZ07djf75Ga77NXRxcTc8WPSll+BYBOneijQ1gmJuTnz0VDfpxKZRlfO3hv67wI\n7c8LeHd0tbB/m8fS3NSibfMiiJ+W2mr+71/95dPZzcHjDWrfWwCNg45zUZkJmQhc18Zb+TST\nwYMH379//9KlS8p+3ups2rRp/fr1K1asWL58ufr+oUOHslisM2fOTJ48ufH4xj+GYWbQZDL5\n2LFjR48enT59OvGRli1b9s033xDPF0ZGRj/++OP48eMN8l7/25Ql48kmpJ1RqTNBdQ74OskY\nBFnXtdVZi9oi3F+FmPWIXqOdhiHVtpcCALOmeu4R6dI0Nhx6wKW/tjoDsG4L+26KnxO6MXwm\nEs+k83dM6zEygM6kmZizP140jHAHfXTlhVKdASQ+fBV7I0G3QNzJy9a7o6tyk0qjLPxjRuO3\nOWxm75Av+hNtWVp39fj2j5nKQ0wOw9+f+uMKk/btaW5ulNGjWeS0k1QaRfdngEQhBfTz++7Q\nW5Y7JUa/Up/4iwTihAdpjYxvQT8kCsw8YNHaIOoMIDQ0lE6n//rrr6Wl2qnxBQUFf/75J4Ax\nY8ZoHWKz2YMGDbpy5crjx49TU1PfKH/jPWGwUm8SiTRhwoQJEyYQmxQKZcOGDatWrSoqKrKz\ns/vXf4g+FNLP63e8A/Q0+Saofa29h8rUngXL66+p5V9qrq/02X04pAKUpei3SLUJUKVyNwgJ\nHiPg3BciHliWICu+RWY2Jt9HfCqXy9U9OU9tvqZ1csrjjKCQjuomzv7dPS0dzFacnHPkl4uJ\nj14J68Rcc87VP++N/WpgI+XUJDJp9s/jp68aKxKItebarv6OztR89T302gyIawP6+qq3iGWb\nsPY8W21q1XCbx6YwNmdr7TEx5+gd2cI/iZub27x589atW9ezZ8+IiAjlPDohISEsLKykpCQ8\nPFyZwqDO2LFjz549O3fu3MbjG/8YhplBNwSLxXJ1dW1RZwUyMQQNTJPZtg123dbKoqOboO0s\n/SO1YJrBuY+e/TQj+IWhyyLtiAqJgsB58B7X3GoUGhtsW6U6qy6jps4yqSz9mXY3kz1/PSkr\nrPxm1zTn1g7mttw+E7osOfgJAK6l8eyfxzOY9NyUwoTotAu7b87pvjL1aRMFe1QaRTcSMn7+\nEGNTnXJHmcS5tcPXO6YStnkOHjY/HP7sXdQZQEC/1o6eqpojJy/bAJ2mBC38K6xZsyY8PJxo\nttemTZthw4a1a9euffv2cXFxAwYM2L59u96zRowYQafTHz58OHz48A8hr8FgM+ibN29u2bLl\nxYsXPB5PvURHHd3Hjf8WZBqYZno0muvSmCy69EdFmiJrgkyF50hw7ODSH1k3mng7CV/bCEkd\nhgksW6uafANo1RtG1uCXQ1QFtp0eW9Q3Ry6HXHOezjfh3J00cs3mazdjlvQL7aY1Pv157sto\npZ0TqbaKP7/v2snfj5y4sNEcGB3MbEw6f/wRMk6qdnHsweAC6DWuU69xnYR1IoP0h2UaMdZd\nXXj6t2s5yQWtfO3HfjWwpe3sBwKVSt2/f//EiRN37twZHx8fGRnJYDB69OgxderU8PBwpZud\nFlwut1+/fpcvX/4Q4hsASA2J6Rtx5syZsWPHNnkpg7zXmxIbGxsYGPjFF1+oe6P8a5QlIykC\nMrWEARNnsK3BKwDLHK16q3p4qyOuQ2kCZBIC56E1AAAgAElEQVSYeysm2s93N9gaXAnLAp2+\nUbyWy1AYg4pUUBiw76qocpRJkBuFkniQqXAMhnVbpJzE6zgAoDDgPRaW/g1evNmsDd9997Qq\nsTqxX7fsAD+7pPSna/vrdqJ6Gpn4Q8hm9T2EK9LOxz82x3RfJpXF3nhZWVLt08nNydsOeXeR\nexcSPkxd4Rmix/PvzUl5knlm643qMl6bYO8xcwa0yHEL7xXDzKBXrlwpl8v79++/bNkyBweH\nD64C+8PBwgeB36A4DpUZIJFg3AolCSh8DAA1+ahIRcd5xERPhVSEsiRIBOC6KtRZWNm0OgMw\ndUVtkcL0I+MS8h8o9hc/R7tZ4LqCTIVzP1XF+es4hTqDqB48CTPPt/NFUufL3yaT6NTIs0+l\nNFpuO5/sDq0ByDgsK0cLXkVtaX6FvZu1UuY8A5yNjJmElSgB8Vix+bM/F+ybae+mLehyuTwn\nqYBfK3T1cwSweOjGlNhMAFQ6deaacSM/7QvHYMhlimzFdyb9ec6iIRuIEPaz28kZL3JbDO1a\neK8YZgbNYDBIJFJRUZEBS2gMxYc1g9aiKgvPd2v4L9t3gYeayYOEj6fbVKVWroPh1BOCcsRs\n0L4UhQ63IWBZofgZqnNU/V7tu8F9KO7/qLE4ybaFiAepEGYe8AgBwwQAXv2t3c+l/acwaUW8\nFImkmTlVttZsrsnbSHbgrvjY16ralk8tZd3KXp/49bJUIqPQqDZO5gH9/UIXDTO1Nom5Gr9+\nxt7aKj3Gre16+Xyza5qlg6JBML9W+ONHW4mCFAs706DRHc9tj1QOptIoR7J+ZZsYMoy4c+HR\nv3dqOBYcydyot7ylhRYMgmFmFlwu18jI6ANU53+LKqH0bHLF3ykVNY2XPxBpcOrB56LY+jI/\nAED+A41C2MyryL0LuVTNbUMOAM59YNUOVVkQVsGuk0Y37oJoVGZoBFUgR20RxLWQSVCWjORj\nit0MncY09XP5y5EZrTrs8Om+x8p3y9Kf7zb60fVzeJxnRzsjAGRgipfJTG/jo+suEkb7UrGk\nIKP4wu5by8ZukYilnQe1iXi1wb1dK7WPp+B5VPKmz1Xdy46tv6QsFywrrLz8xx31d5SIpflp\nOgkw70ZttfbPht4fkhZaMBSGEeiRI0dWVFQ8ffrUIFf7X+dZUZ3X1hejj6eNOpbmvS0+pUzb\nVFOFiRMomlWtMgkyrqh0ia/lWyhH5mXE/g67zjD3AYUOlgVa9UHuXRQ9RvFzpJxAps7iYcFD\nzdVCzdXIqizFCqRtJ9DVNNq2IyHQVdXCjz/5+3VJLQCxWLb61wcXr6c3+UcgyHiRe/Pow1dx\n2V4WzCez/IsXBNR8F3hwok/CXT3Jwq+e5WS8yAVAZ9I23Vzs3tZJ514RfzdFLFQ8CqQ80SgX\n1CpEpFDJ9u4G9jPq0MdXfdPezdpOJ+rSQgsGxGBdvSMjIydNmnT8+HG92YX/KeZdzS6uVYhF\nAU8090r21UkNlLlTWbDtjHxNr7XXT0ChgFcIUbX+EDCxuNe53kgo5aRG+KI6Q3u8uquGLiQS\nip+jJh90Y7SZhvIkRR8W67YQ1yHz8vO7aVXVGjp5+37OsAHuDV1Pya5Fx5Qxh0HhQV9tDbMy\nogI4uPLsyc1X9J7y8kGaV0cXANEXn6e/yNUdQGPQlH4Xjdf+hS8frbczS+PkphQ+v5NibMbu\nOrSd7gJg34ldc5ILz2y9LhZKXP0dv9k9ndT8nowttPDmGEagraysTp06FRQU1LZtW2dnZ2tr\na71ZLA8f6rSs/v9IfLHGY++NjKqsSqGLblougVNPFD/XdrdQL6QmUzQDFAAAQRVkEkUOsta5\nMinMPFHR7Ho2Bhev/la8LnyMgC9VsY6UkyhPtmJRAI3iCyvLpoUvKSbjr513SSQ6Ry4G5FcP\n3OszoUvbYO8zW28cXd+gt2r5a0XdecRPf2seUcTp2/b0UrpCj5078P65p8I6PdWSq89+FdCv\nwXKbkrzy2iq+o6eNltfH9YgHv8/9i3Dxt3Wx2nRrsW58eeqK0ZO/H1nHE5jolKi00ILBMYxA\nP378uG/fvnw+H0B2dnZ29n+6G5C7GaOcr5rSyuRYe69w13AX/aPpxmj/KWK3QKavLBuATAqn\nYPDyUKn2RM+yUFWIcF01fE2NrNFmKkrikXxcu7BQCzIVNh01Gt2Ka1H0WJHXIRURPv0+DrLB\n7SVXninezsrCaMpHTZQavsqsGDT9Yi7DCYCpTNBRVESXSzNe5F7ad+fOqceNnGhmrfhtKMnT\nyhZXiDKFqorVuPo7bn+4fOtXEfH3U9StjizsTTs0UC0iEUnWzdh372wsACtH8yUHZ/t0ciMO\nyaSyXQuPKnusFGWVnNh0ZeYaPcmwVBqlRZ1b+GcwjEAvWrSopqbGw8Pj888/d3NzYzDeNTfr\nf5rFQfZjj2tMYNMrGg5DA2CZwzZAO4NCHTkJ3hPwfJeiyIXCgKdapodjEGoKUfICAFgW8JkA\nkGDSqgF1JoEEyOUwdoT3R5CJtDuRq9fRkEiQy0kk+elv67ZdoT/MMmvV2n/e7EA7myaqmT9b\neC23WLHUWUlmptDM24hKyouqGldnOpNm564I6XoGOGs1ma3/U2hsZcTnxt3SsCUzNmPP3zmN\nRCJlxOdd2X+HXysMHODfc2wgEYs4uyOSUGcAJXnl66bt/SPhJ2KzvKhKPb0PQF5KEVpo4V/F\nMAL95MkTEol069YtZR/y/zJjfMxsObSiGtWaVXtbvTEBOUriURIPkGDdBgBKXgBksK1RqRlH\nNvMEwwSB81CRBpkEXDdQaMi8hqoM0Ngw80RtEQBQmbDvrkjwYHBBY0NUq1plI5Hh0A1OvUFl\nQSZWRLdlYm1nj9dPISiHz3gwTGHmhfJkACy6fMFIIXx7w6ptc/4C0U80fDAqycxOg9ro9Rrp\n2M/PxIJz6/gjACKBeNXE7d/um9l7fOfw5aO/6fez7vig0R3VNx9efK41YN21hc4+9ilPMr8d\nvJ5YTow8HJ2dVBC2dBSAxOh09ZzGouzSsoJKIpZtYWfK5hrVVqlSaFr5tHjz/6+ydevWL7/8\nsqGjXC63srJRA7IPBsMINIVCsbKyalFnJX+MdJtw8hVPJAXQ1sbo+2B9/9XzHyJdYT+P0gR4\nj4PHSMXms12org8TWfrDzB0AyDRY1D+5JxxQ9QlUrgFKBEg/D44tuK4ACV5jkXxM0U2cbQu/\nMFRnIfcOjCxhXe/BSKbBZwJSTmjk9lVlIfU02kyH97gdm47uPFlcIyCP6OewKsCnkYzfnLzq\nY+eSxGLZiEEexgxyrdr1GHLpjNXjlClxSsbMHThxyYhvR25S33l0/cXe4zt7d3RhGjEEdar+\nKUbGzPDlo3t/pNFGS9fcmWvOAXBue6Qy2QPA2a03Jn83orKEl5WQq76oR6VROKZG8fdSq8tr\nfDq5fb7x481fHCBOdPCwGTf/3/fKaeFdcHFxcXbW00eYw/mfMbQyjEAHBwdfuHAhOztb75/j\nP8gQD2763Hb3cnhcBqWnszFVp9spABSombvLgYKHsKnvP9L+E/DyUFsItp3C/FMdEa+xLq7l\nKagpQFkSSBS4DwONAxoLJk5IOKQ6q/Ax2n+iyL0z90bnb/Fsp2IaTlCZCZnkwOmMzzeUACRA\n/ltEXqnw6l/bR+i+4cPYglPnU37f+1QokgBYsf6eg7AKZJWYu0kq05/n9Avtdn7nzdxUxbsM\nCgvq9c3wwAMptmml6s8XpfkVAMgU8oSFQw78qGgpxDCib7yxyLm1dsvE3uM7X/lTlZcd0K+1\nqbUJgMoSDZNrQZ2QXyPYMGtfUbZG2qKtq9Xn3VYWZhQDoLNoX2+fuuvJj0QWR6eBbQgj0xb+\nd5kxY8YPP/zwb9/FO2GYr+CaNWsiIyOnTJly/PhxW1vbpk/4D2BlRB3tY9bYCPWuUSRozGEB\nGDvqkWYCqbapsQbVuaiqX06sSIPPBFj4oCpLQ9N5eShNhFV9QiSFDgZXQ6ApNDmJsmmnRsj4\n1PnU/b/JaDSN/JzFq6J++V0jei4Wy0pIjM7CgiIKhwy5vZTHlQltnC1YbMaWuz9EHokuzi33\n6eTaZWi7gREpKWUCpoONUaVKT327KhL4JiwY6tbG6cn1BCNj1qDwHrrGHQDaBnsvO/r56S3X\nq8pq2vf2CV08POKn89cjHlSXa2S2OHnbHlx97lmU9q9aXqrqI4v44i1fHjqW/eugsCCtYRKR\nhEKl6PYUb6GF941hBDo2NnbatGnbtm1zdXXt3Lmzk5MTm83WTRHduXOnQd7u/wmm7oqVPQIz\nj+aeyDIDyxJ8fdaAFIa2f3TRE1i3g7BKe6RWEwC7LhoKbtdlzuLrz18Wqw+RyeUyTWOAjOxK\nLXUmqCPRqXK5n7iE2PTv4eXbxR0Aw4g+dEYv5bCHebUAknt15pRWmLwuBeDkZfv5xlDlgE6D\n2nQa1ERafddh7YnWLQBO/nY1Yu15rQHWrSyKc8rP77ylc6o2/BpBYWaJk7fKlam8qGrzFwfi\nbiZSaJQh03rOXPORVp+tJhDXQlwDlmVjtoItAHUl5alnrov5Apd+3a38m2ooYTiGDx+ekJBw\n8ODBadOmFRYWjhgxwt/ff9myZXv27Jk5U9X/ITs729XVNTQ0tJntvQ2IYQR62rRpxAuBQHDn\nzp2GhrUItAYewyGuRWU6AJj7wLX5EU8S/CYj9RSq80Chw747ZCLwcsEwhVMwnu1WGymHVABA\nrTS8Ho4qXHDvUd6zhDov6yED3HJIMhEsW5cz2uz483etM4YPcGfQNYQmNb0c+pADDxn2DrIa\ntlxUQ6Lv3D2zXCDd/LAouUzQxpr1VRdbLoMCwMGYllImFbJZD6aMMi4p72jL3r44qJkKGHM1\n/vntJBMLzsApQWY2iuS8+2c1alnZJqyNNxdf2hulZaDREFQaxdpJw5V70+d/Ek28pBLZue2R\nFnam4+YNas6lADlenUfBI0AOujF8xsO06dKe/yblaVnHBs8UVvEA3F+1ffDOH33G/XPR/+rq\n6tGjR3t6erq7u3t7e0+ZMmX58uWHDx9WF+iIiAi5XD5lypR/7K6UGKyS0CDX+W9BNYKVP0gk\nkGmw7/Zm/stG1mj/GWRikKna5dBmnihTZp6RYO6tGO86CFk3IJcCgEMPmCryfz9deHXXAUXT\n2JGDPc78GUomkwqSS7RMtNxdTPf8OkTrLny9LKED24hWWyeWkUi5FEUY+nFS6Xfnc1LLBABO\nJuJsckX0DD8GhfRdsH342QwAchKp2toijk75JjLv536OzKY0+tDqc0d+uUi8Pr3l+pZ7PxCN\nV8iaUQiJWHr72KO8VG1HDksHMyLSrYYcIE3+YZR69aBYKHl+W6PraMyVF80V6OLnqrxJEQ9J\nR9FlkW5zgxYAxGzcT6gzwd0VvxtKoPft23fjhh7b9IULFw4bNox4XVFRERYWduCAyuMlODg4\nKiqqoKDA3l6xth8REWFra2vwhrDNwTDfmMWLFxvkOh8s566krdr4IK+A172Tw8aVfV1bcZs+\np0myriM3SvG6LAn+U2Hu9WZXqO9OX1BUwzaiKXzmPEMgFaIyHSSAxlHNlJ16wbodal+DZans\n3vL0xWulOgP4+8qri9fThw/0sLXiWJixyipUUfIFX3Q2N9P+CXF2NFn6TfdVGxVGpgFtbVYu\nCk7LKP96qcaMNR2UVDVDkriiuttZ1YPcuWFtLV24jK+v5TwtrAVQKZD+9qiITMKvA1s18qFF\nfPHxjZeVm7yK2nPbI2f/PB5Az7GdkmJUGYpCvkhv1aJ6Lh2AtkFe7Xr7tuvl3bqrRpSJSqPQ\n6FSJWFUCw2Q3O8Ffyw9WXIu6YnBa8vb0UJWtkZRZW1Qq4QuoLAP0i8jKysrKytLdP3nyZPXN\n6dOnq2+Gh4ffuXPn2LFjRJ/ruLi4xMTE+fPnUyj/Qpzq/ba8+v/B47jCkLDTsc+LXpfUnrmU\nOnzSSbG40Qq9ZiHXrhApfJs6+OS0svZ99ju03WbmuTl8zkWxWAaakWK9UQ6IapB0BLz6/wAM\nU8Lyny+QyGRy4nStC148c9u69W9WvlvodLKJsUKPJo72nTW5vd4bWLko+Gnk1F0bBl07MeHJ\n9anDBrhPD23r7qJyyRg91Itlpp0G/rreq6SnszFPqFHIfjqpga5g9ZQXVxE2eEpKchWRlpGf\n9p2+eqyTly2TpWGjwdIUVn6NUH2zOLf840XDtNQZAIlM6jepu/qeAZN6NH5vKmg6iVy6e1oA\nAFj5aQSdzTycDaLOAFatWiXXh3r4AoCHh8Y//UcffcRisQ4fPkxsRkREAPhX4hsw1Az6woUL\nzRk2fPhwg7zdP8zpi6nqm4kppQnJJR3a2LzTRWVS7ZbbkkarDRtgyhcXiKU8uRwHjyf4elks\nnuGC2kK1N5KgNAHGinl0elbltLkX7z3KYzKoc2cFjh+l3VV2mFeOOShrTzMLX9eachlXj4/3\ndDMnnhiqecKftzyMepBrZ8NZ8EXnrh0V88EObWzU/xomxozYG1N3H3qWlVMV2N5uykd+CaUa\nH41KJpmzqOqb6kcpDc8Z6krKn+44Upme29qkIrXaRALFjMYr0IV4QSKTxn01aNxXg+Z0X5kR\nn6c8USQUj58/+Piv+h2adE1Elcz66SNLB7NHF5+JxZKqEt7a8F37l1vNWvtRt+H6f65U2Aai\n4IHq39S6nR431xYAAF0Xz867/7Q8LQsAg2vcb+M//TjOZmsU7hsbG4eEhBw5ciQtLc3d3f3I\nkSP+/v7t2zf1L/5+MIxAjxihJz1Wl3+l5dW7814My8hUcF0VK4QEps3O4qinmieMfa5Rjhx5\nJ3vxDJ1UdLWa74mzzz15VgSAL5D88vtDN2fuZ1M77PhT0UglpLN4WICkrYts7WkmgMoqoUwm\nZ9ApDx7ne3uYh35y/tptRQLfpRvpJzf1q3qVz2DRe4/vbG6rEfPhmjAWftFFudne1mjLYOeF\n13OEUjkAiUw+9nja+YleA925ACb6my+/rXrIDfXX3zxXWF1zdND06pxCAI6AKYvzkO8mAymg\nX+tRn/XTGuzR3lldoF38HKvLaxv4K6Jj/watRWgM6vj5gwdO7j4rYBkRGCnKKvll2p7f7y91\n8mo0nZRpioAvkf8A4hqYuMAusLHB/22MLM0mRf2V/yBOXMd36NaBafbv/5KFh4cfOXLkxIkT\nQUFBBQUF8+bN+7fuxDAC3atXL92dtbW1eXl5RUVFZDJ5xowZ5uYG6Aj3rzB6qNfa31Txh9be\nlv4+hnABJir9qrMBEmw6wLHZj8/1GLFoTAaVL1CVzFmYs2BkDSMr1JWoxlkqBKi0nE+os5LL\nkRlnDoyZ3CbhWTLP217a119KIoHLUv2OHj6dOGTiCQBMBlWgVptnUVu+dep2Ym3t8M/nN91a\nop6dpsuXnW12Py1OqPf5E0nlK6PyCYH+LsieQiJFxJfJIf/Y32JJkJ5AbUqZYMOqY345qicD\njqxm4S/DWvUMdPXXky0evnx0ypPM7KQCAFwLTmFmSfpzjebixubsmso6yNFpoP+n6yc2cucA\nXj58pR62FgnEcTcTmxBoAEwzuA9rYkwLAAAKndaqd+emx/1T9O/f397e/vz585WVlWQyOTQ0\ntOlz3g+GEejbt283dOjBgwcff/zx7du3Y2JiDPJe/zydOtidPThm5Yb7ykVCrWKNt4Rpivaf\nQFyH0hfIvon7K8Gxg+doZTiiMeRSlLyk1uTu/9569tqC6nr1+HxaB5Ao8AtD+gVUZ4POhXMf\nZdsqIxaVQiFJpSr95bDpALp39+7urPKkvlpvXGdjxT50XNH2W12dAXiJibAvCUAdT3B0/aWF\ne2c0fssFPI36mhepJYI6IdOIQSWTvg+2118ND8jl8hqBZOjhFOesEq2JrqUFIzby5enfrzt6\n2oz4pK+RsSpwaWZjsvXBsuTHGSKB+Oi6i/H3VEEqEwvO8Fm9R8/pT6PTpDIZqxnrfgymtjE0\ng9XSdfP/MxQKJTQ09Ndff83Pz+/bt6+DQzP+S74f3nveT/fu3SMiIoKDg5ctW7Zly5b3/Xbv\niVGDPUcNfj/583XFSKv3Pq4pwMtD6PyNMj1DP4JKPNsBEQ/ABF8M/4M597i3iMz+bGq77m1Y\nENeAZQH/cN3zjFi0j0e3/uvkS+We6aFtAcBlAEQ8lCbIZfLLcZQv9yn6+DUUkaLI5Qy5xspe\nUWYJAF6NKK+A5+rMZeorkm5rRr2t5sLKySm8eeShet2KFlKJbN8PJ6/sv1tsbZHx0VCJg5v6\nUSqTsX/L/cQXilKa2yce/3b7OzpL9XejUMl+3TwArJ+5T/1EMoU8+fuR0KSOJ9j17bEH5+Mo\nVPLAyT3CV4xWT8f26+Fp52pVmKl4KKExaETdTQsfOA2l2QHYuHFjx44d9R4iCA8P37BhQ25u\n7urVq9/P3TWLfyIxMygoyNra+syZM/9DAl1YI86pEvpYsoiSivdIucYKJETV4OWD69LYKRkX\nCXUmYFMF+xawYBuApCN4XAYA1u3gPa60QkSjkrV6vO7+dbCnm9n1qCyuCWPurI59gloBAIUO\n34mQif167ElKV11ZKNKYNQPwcjdPTS83MmYYcbh1parqRPf2zuu3PVr28z2BUGLKZexYN2ji\naF+tc+fakh6/rK41MwHAKa3wuf2oyF27qFqdM1uvn912Q0alEDkbOTYuZ4PHDIs+T5OI5Wy2\nx4zJl9ar4k7ZifkxV18Ehej5L+fkZVtZXK2+qTtm17fHrv+leIY4+dtVJocRuli1oM1iM/pP\n6XFopcIYRCwU7192avnxOY3cfAsfAg2l2QGoqGgiWcjf39/X1zc7O3vMmDGGv7Nm8w9lzkul\n0pKSkqbHfRgsupG77kEhADaNvG2oS3g7PeUYyWllvBpRm9ZWemeLbwBFZ7JMaerxmZejvYdf\niuRjqCsjalbyk19MnFt+71k1gLHDvQ9sHcY2UrwLi0ldtqDHsgX64t1kWmBAq6R01fx6QG+X\nl8mlSamKVLwBvVyuHBtfxxcbsWgvH6StDt3Bq6gF4NzawXtoYP+PTxPDKquE07+6FNTF0dFe\nw/yuZ0en3tN2lZtxSYDJ61KSTO7RvrF859/jK6O/DJMwaNzCYmZNrYDDjurQJ9q/uy2/6vzX\nwcW3EwGNxMTyIp1ydgDAtJVjvh+5mV8jAMDiMKevGqs75uHFZ+qb0ReeqQs0gJf3NX5HY2+8\nFAnEdGajDzot/HvMmTNnzpymf0EbST+rqqrKzMwcN27cv2t9908I9N69e8vKynx9tadUHybX\n0qsIdQZQK5Z9ejFrgJuJvbFKNGvrxKOmnIq8mw3AycHk9P7Rge3f2B9KKJJGnHyZnlUZ1JYz\nxIyuSrkzdgS7gavVFCLjInj50HVWZlmg4pWyovCTXUaEOgM4dSHFpRV3w4o+zbmrjSv75uRX\nRz3IBRDUxXHr2gEsJnX3oedpGRUd2lhP/7gtmUwiwtZtgrz2vViT+CidaUT36+a5YYfGAgNf\nIHn0tMDRXqMTo4Wd6exVY/b9cJLw8+w1rlPw6AZzG04mlt9xdiVeV9rbGFXybHPzpd7Ormbs\nH3u1bevAzetMHFXZO+smMhP4dHLb/XRlzJUXJBKp8+C2WgknBBSaxnMSlar92ESlUtSNpElk\nElnHO6myhLd78bGnN14amRiN/LRPyBf/QuFZC4bil19+EQgEs2bN+ndvwzACvWDBAt2dcrlc\nIBC8fPmScOcICwszyHu9b6LzNIzQBBLZk4Lakd4qgV6z6QGhzgBy86vDv7z48m4T62NaCEXS\nHsP+UmbILZ7muTZMDmEVTJzg3LeiSnT3YR6TSenVvZXK+0IiQMKf6pENJTKaCY/bg1v4hCjj\nlstJtxI0/llvRGU188asLIxunw3NK+ABUM5/F3yuf3mdY2rUud7JyNpSuwWUlYWeHgUjP+3b\nbVj79Bc51q0s3do05h5+MU3Dy6nO1HgRpWLZggDlHkdP2y82Tdrz3XERX0xjUMOWhjQyH7ew\nMx0yrWcjb9dnfOczW1XByj4Tu2gN6D2hS8zVeOVm8JhAqo4V9cbZf8TeeAmgurx29+LjJhac\nvhO7NvKmLXyY9OzZMz8/PyMjo2/fvj17Nva1+QcwjEBv3Lix8QEhISFE3eSHj/pkWe+eh7EF\n6puJKaVV1UKtUK86cjlO/J38OK6wlaPJtI/bcNj0E38nq+cv/7w/b1xoeMcAWwD3Y/JGTjlV\nXiEA4OFqFnUu1N6WAwDVOdrqbOwkJrH2X6n78neeSLzv9FLz0e1KAJBIcjOOvE6omt/plmg3\njlZoojmMHur14/p72XmKaXvXjvbdO+lf+LZyMrdyajrhkk3XnsNOXaKdshbn7Xnn/9g764Cm\n9vePP+sxRnd3SCmIKCAKWKio2IXddfXqtTuv3d2NDRYGtkioIN3dzRiwjt8fZ4ztbIRevfH7\n7vXXdvbZ2WfE+3zO83me97M4WFhR7+ho4DQBfX8WmlF/7HNlA5sfYKW2zsdQud3Em+lbRilR\nyZ8efcMTcP0new2bh77h8B3rwWFxn55/x2piewx2mbQWnfjPbGLFv5FqvvXpYbxCoP+LaGpq\nfv36dcCAAdeuXfun5/KTBHr9+vXyz47Ha2tre3p6tr9h+q9ivKPm7k9lefWiauAAa7XuhlLL\nQ5FitqBCJZJk1ESSqYueiBMnTlyM//JyWmExHTUmv6ihe1d9AFi46mVdSwPDnPz69bs+XDo6\nBAB4fAz6V9VYzOXiUtKJHC7RwUQQndyoq67r7aYNRJVFMynr9rX6ui2Z/ct/+OpqpNgXUw+f\n+ZqdV+/mordkdne8jOERTyCU37hAHlNctE58aTU58jVXNdVUkhwQklK78W0JAA70tT/Vckfd\nyU5Z4Cw+e3g2bVRLW8j48ubCBvb1ke3lXRBI+OD1w2WzOyQZOMXbY5AzVZ0iu3YGAAwWg8Fg\nhBI9E7Ht1EQq+BcTFhb2T0+hlZ8j0O6WsQ8AACAASURBVP9sJsrPRZWE+zrH8eSXqrx6truh\n8ixXHZSorFjg8eBJlrg8RMAXKpsf7OlmePbgINkClsycOsm0NuSpmwu6TBwplebxBKmZUi7P\nCSkikXqdKLCnY820paLPFAL/6CymnoZw5TAWkQAALGhoBNeFa/7QMjIzCAvPJhCwMye5DPKz\nkHyXUAghD9IePM3C47HTJzgF+Eulr7VFUzPn7NXE6K+lfL6wi51mgJ+Vp7uhpArr6Sj/uUF+\nztyuyLID0RWNbL6vueqZQHML9Y5Tj130KKZqpKIG0WUyo5pZw+BpU1r/XJ/mSG0JplUzC2ls\n85YzX0mU+jHeTq07N8xC6busnKXJ+Va4b/aF4qwKPBE/asmA6VtGogaQKSSPABfJzUZUdy4F\nCn4Ahf+hHDTI+LbqJgDA1Vkv4e2MCzeSUtKrw1/nNTO5ABD9tTRo6oOMqDmolWNRKXqxXFDU\nsGC665wpXc9dSwQAIhG3Y60P4i6Ex2PNjNXyClvDr1bmop4sxRWspQeUd09medrx9NSk8pMn\n92YTxdkEPCYUvsbYj5s6zmnqOCe58z9w6vPKLSL3+tth6XcvBI0ZZid3pBgWm9c78IbYvz80\nHHYdiulio/Xq/gTU/YQs15Nr178RVV1H5DWMu5fzZXabpdViPhY2itUZACqauY+y6md2E13/\nhAAfi9DheMmoCFPaTYkvELJ5QqUf/WMX8AU7gk9XFdUCAI/Du3PgGR6P07PQtnIxlYykLz0+\nFYOBjM95aroqIxf19x7h1vYpFSjoFAqB/m5CHqSt3/WhqJSurSm1D5ZbQEvPrnXuIrWIdnHQ\nIRJxHE5rWYdQCBPmPsJiMXu3+JEIuIF+FvbWrTHZ3Rv7Bi98goxXVSFtWSXKh+vZ3TCzFDty\nL8XBRJB6SEqbYrPx5roSRXpMtEEdiuPn4ySfHjsf16FAP43IRXVXAYD07NqVW9/eONWBDcuT\nLKmE069lzRVNXH1qBwlqdGmLOwBoYLUe+VbeXESTcqTrqk/RkVhfB9qqP85qvc75mKmok388\nn70srwpRZzE394jSs8b/MWTa5iAAoNc2rRt2MD+lBACEio7gCn4SCoH+Pr4mVEyaL2qqVFmN\n9t+hKEnpTm09c+WWtwQ8hsvFIEZRnu6G+06IXEZDHqQBgIY6+fyhwaOGipygxw63d7DTfvwi\nR4mMHzfC3kBPtD517qKzb4vf+l0fMkohMgPf214UYGliwdUPpPHeEgIt2zxFmjqalLdcbV2b\nXm5iyiqa5B6Pld4vlQsqsIABIOE7jkR7m6pQibimlgsbGY/tb9nqoYOqGgeAwVbqkk/nuOmW\n0DnHPlc2cwT9LVXPBlpAuwiEUNrI0aHg5fYKoKrJyUhBuL0/vN+kXsY2+td2PETUGQBoVfSj\nS66diN7U/ocqUNAhin2M7+PZ67y2XvL1NrU0k5KJWUufXbub2szgIeq8bXXvhkYO6l31NNa0\nxU/FG4MA4Ginvea3XkvnuovVGeGPhR7FCQs/PJq8NtT0wCNidBbuThSh7yaqgaUV4Fqiukpa\nYIa2dhMK4c8jMeZup7Ttjs5cGu7T00Ty1X59Om7ELnYWRWFi1LHx2FTpMp8gew0NcsfLAgMq\n4fZoK1M1IgDoUPAnhpg/zqINuZk5LSwvsZLhZkBBKamvuSjzRCAEJk+AAdjma1y/qnvzOvfw\nSXbGqu3V/rzJp5sdSTA9nKC+J277BzmXHHVd1XbiFYVpZQCQ802qeqggtZTDare3r4Jfyfnz\n5zEYzJYtW2RfotFoGAzGyUkqABgeHh4UFKSvr08kEvX19YcOHXr37l25Z46Li5szZ469vT2F\nQlFTU/Px8blw4YJA8NcN4uWjWEF/H2SZO2WvHkZsDt+nl/HG5d6SxqQsNi/8da7kyE+fS2tq\nGSBDUzMn5EEamYynN7IH+Jq3Y5Wnq03R1aasWNJ35tJn9VeZAOBgp71zSyCoBwItD3AkULeU\n7at06vK3dTtFrVsuhSS7OOioqZIa6GwAGDbIesdaqUzP6lpG6NMsNocf4G9pYymKgPdwNdi+\nxmfLvkhJoyUiEbdxuZSfvVz8zFUfT7A9HFtRy+QNsFTb0HZwH6GOyVv3piQir0GDjN/pbzLE\nWk1TCR90O/thpihUci+97stsx5NDzBY/K2RwBQDwh6fBICs1IcDa18VHYytZPIEKCa9CxAqE\nQkMV4u+99Cc7y7cwBYAmDn/cvZxaJg8A2Hzhpncl3Q0oQ2zUUcNWnptl42qWHJnFYnBSo7Il\nX8pJKDS1N9A11cyMyxcf1NRXU9QZ/ldYvXr13r17MRiMjY2NjY1NVVXV8+fPw8PDJ0+efO3a\nNXHza4FAsHHjxj///FMoFNrb2/v6+tbX13/+/DkyMjIsLCw0NBSP//lyqhDo72PUULtt+6Oa\nmkULYUc77TehE+Wm2WExGKy0kzQOh/XrbXY7LF128O+b3nC5fAAgEnGn9w2aMbHNVta/rXt1\n7HwcABDw2CWzu+/e6Cuy1tNxZnP45y4lxidVWJqpL5rppqFOBoDaeubdR1KN9ZLSWmvu+3ia\nqFBbV5fpWbXegdfraSwAIBFwfyzqaWGm5u1hZG+jtWG51+zgrpGfi2Pjy3PzaNYWGlPHO3bS\ndjXQVj3QFi15bTElLC9cVKXCnhKa+2iCrZsBRazOAMDgCi4n1uztbxJkr5FWzTJXJxqpEAHg\nXHzVnk+iElA6m0dnAwCUN3GDQ3PVSLi2JpBYyaxlSlmOvM6niwX64cnX94++bKhtNLLU7R3k\nvuRIsJahxvrhh5I+tnZAv73/2f2jEZPWBH55kcJiiCLjUzcHdfL7KvhniY+P37t3r5WV1cOH\nDx0dRdvXaWlpo0ePvnHjRkBAgLg/1rZt23bt2uXo6Hjp0qUePXogB4uLi8ePH//kyZNly5Yd\nP378p09PIdDfh5W5+qv747ftjyoobvBwNdi+xqetJGgiETd6mN3N+63FC5NGOfTva1ZR1YTU\nUkvCbWl8x+HwV2x+M228k2wlMQA8e513rGWLj8sTHL8Yv2yeOxJnEAiEgZPuvfpQgLx6+VZy\n2NVRc5e/iP5aioE2Y74XbiRJFgpu3htZ3xKhZnP5Ow9HAQAGA24ueg+vjjYyUBkTaD9soA2b\nzRN3w5LL14SKtKwae2stD7cOAuIoaCz+M+kawpCUWksN9GfFlDT1upDG5AkCbdQ39BEtyZ/n\nyPfiQE7SlkBryeR2aLVsNkaGxZ1ZfRt5XJBWVpD26M6hZ9sfLN31+PfYZ0n3D79IixXdIfE4\nvLDjEae/bHl39zOLwek1pKttd/POfF8F/zjPnz8HgC1btojVGQAcHBzOnj3bp0+fGzduIAKd\nnp6+c+dOXV3dt2/f6ui0rktMTEyePHliaWl57ty59evXGxh83x98hygE+rvp6Wb49OaYzow8\nvW+Qjhbl8YscNVXS/GndJo9xAIB3YZPKK5tGTg9ta4etnsaqrmXo6aCLpwHgy7dyyaccDj8u\nqRIR6K8JFWJ1BoDcAtqYmWGZOXUAIFk9gUJ8K4CQnVcnO0YohLjEypHTQiOfTJ6/8sXVOyl8\nvtCvt+m5gwF19SwKheBgqy15q7Bo9cuTl0QtWmZNdjl/CN0LXC5cgRADIJBxOOULhHZaZBNV\nYjG9dariHLukSkY1g4vsAVLbLhfiCdr8CdhpkwdYqkXkicRdg4wPdhYFzWOeJqIGc5jcS5se\nHHyzxjOw25OzbyVfotc1E5WI41Z06ssqQFFZX3373WMGmznYw6+rpcPfPwFZczsvL689e/ZY\nWoqqBK5du8bj8ZYvXy6pzgiampr79++vr6//FR2jFAItHzaHX1RCNzFS+StmdSpU4uEd/Q7v\nQO/aGehR927yHTDmNoeLTiYDAH1dZVlrCwTZTTnTliPlVehEC0Sd22foAKn6OucuOgkp6HQ6\nhC8J5au3v7sUIvKjeBtZ5NTnIovFAwCfXsZPboxB1tQxcWVidQaACzeSpox16utlIvecCA1s\n/tzH+aEZ9RgMjHfU8jFT/VDYmjw+2kETj8XcG2szJSw3q5alTmvokpLJoDNrTA3KHG2EGMzN\n5NpTQ81xGMzMbtrXkmrkfsRohzaLyzEAoeNtDsdURJU0maoSl3vqIzuTAIAnyFH80hxR6ZBp\nF8Nvb1ujVeq6qmrairawP0JGcY7nb8NpTXQAWHvhz+trjk3uh64D+nUMGzZs48aN69atY7FY\nkydPNjQU3ZDhcLhVq1aJhyEL7aFD5bfIQXWh/YkosjjkcO1uqp7DMdteZ7Xtjp6+8q3jN3QC\nyUbg35IrF6x6yeHycTisd0/j948md7EV7WJRlAin9w9qqwvi+CB7B7vWpIigwTbibq3dXfQ7\nfy3BYIBIxE0a7bBvsx+Dyd19NCZo6oPFayLmTO1matxmYsbH6BLJp6yWWsqPMSVb9onMlFPS\n0aaySWlV9Eb2jXtpZ68miM06JFn+ouhOWh1XIOTwhdeSamw1yeMcNNXJOCsN0rHBZuMcNAHA\nw0g5c5HLl6H6vjceqkcnGaZmuzz70OVNNADwBEK+AADARY9iIJNejcVAgLXa2LYFGgCUCdj1\nPoZPJ9qeGmpuo9nqW9JXXimguMPW+D+GGFrqIo+JZMKiQ5Mwv6R55f9/dtw4gqgzwqpzP60s\n+fLly74yoFpXOzs7nz59msvlrlq1ysjIyMnJadGiRaGhoc3NUkm0JSUlAGBn10HFwE9HsYJG\nk1tAm7v8OdLhqZnBXbDypae7UVdH3R87m1AIW/dHHjn7tamZ6+dtenzPgI/RxX9seUdrYAEA\nny/4FFtSVNKQ8GbGqw8FDXR2H08TI4M2vYooSoTPL6aev56YV0hz72YwaZSDWBOMDVVO7Ru4\neE1EM6Pj7K4/N/gun9+DQMAKBDBo/G2x3V1IaFrMs6kpGdX1NNbmvZGIrR2CVw+jdgyhor+I\nur7aWqGlUE2VZOd5rqKqGQDIJPzdC0GBA6WW7eE5UkHniwnVBwea3B4jxzs09vpHNqM10GGa\nkJ7Zp8cQe10iDvO2gL7qVUl5E/q7C4TwPKfh9NeqBe6i32A9i0fGYztT9u3q12X9jfkhe8IL\n0koEPAEAqGpR5+4eh7yqrqNyMnbz14gUVhPbubdtZxygFMglr1wqQ7GstpLBZlJISm2N7zyF\nhYWFhYUdDpszZ46/v/+5c+cePXqUmpqampp68uRJFRWVdevWrVq1CovFAkBDQwORSCQQ/u7M\nHIVAo4n+Worqv/chuviHBfpSSNLWltVlxPsCV7/LDCZaRCLeFQSPcRzS3+pjTMn9J1mWZupD\n+lvK3SQEAGUKYelcKRtlLlcQ8T6/jsby9Ta9d2Hk2WsJoeFS7vLWFhqHd/b7FFty91EmgYCd\nNt5p5SIPLBaz81D0n0eiJQW9rp51/0nmmt96AcDkMY4rt7x98DSTzREM8jPft9kvNr68rTRw\nsQFe754mnu6G0V9F4fXhAdav3hcg6gwALDZv6fpXgQOt4subPxQ16lAIo7poUIk4gNY5CITC\nZS+KGliCKV21UK4dtGqpEkqMQDjKmHwy0CIkpXbSA6mMRhSPsuoXuOsW0znBobkfChuxGAh2\n1j47zIKE62DN6z3czXu4G6OR9e1NmlAodPXroixRtEIkE7yGubZ/BgUd0tXSITqttbrVzsTq\np6gzAGzevFk2FZpGo2loaKAOWllZ7d69e/fu3eXl5W/fvg0PD7979+7atWsrKioOHz4MAFpa\nWuXl5UwmU0np58ytkygEGo22JvoXIHuk8zyNkBIOWXUGAHU1EgAsXhNx4qLIgm5AX/Nnt8bh\n2pWPxy9yXn8spCjhw8Kz07NrAYCAx3J5chLm927yHdrfamh/q13rW82M7jzM2PDnB9nB1S2Z\n2iQi7uiu/kd3tbrOBw22eXx9zLnrCQwGT02VdP+JKNWMTMKvWiwyUF6y9qVYndWohN/H2a46\nGi9xesgvou2LLFvV4s5h85480UlTtjxk8/uSnZGlu/xNVnjqA0Adk3c2vjpDQyqdWc9U6+Jc\nNwwGI26w0BZIVcusR/kfChsBQCCEq0k15uqkrb6dagZKUSErjDV+HVunrXiXGJ1RnAMA6lTV\n00t3/80TYDAYFIroumtgYDBp0qRJkyZt2LChd+/ex48fX716tYGBgaWlZXl5eUZGhqurnEty\neXl5fX29g8PP395UxKDR+Hqbuji0btRaW2gEDrQGAC5X8D6q+OW7fHoju+13o0EVf8uiRMbP\nmtw1JaNarM4AEPG+4MHTzHbetXH3x+FT7h85+/XPIzGIOgOAXHUGgK37P/FkXmprLezfW35h\nIXKGwIFWD6+Ojrg3/t7FoJd3xy+Z3X3Nb70S3s7o4WoAAJXVzZI7hA1N3LlTrutnpRKgdS/U\nwlJzw/tS8dPsOhYGMBv6yBFKDl/4R0RRYQO7lsnrdiZl7eviG1qmZQ6i0Ieuqdbqy3OQsG+l\nTGQDxRRnLa5A+L5QKgL+Mq/NtDwFfye66tqJZyNe7r4ZuuV87tUo366ef9tHs9lsJSUlb285\nHeDs7e3Hjx/P5/MzMjIAICAgAADCw8PlnufQoUOOjo5bt2796TNUCDQaMgn/LmzShuVewwOs\nVy/p9elpsAqVWFHV3NXvom/QzUHj7tj2OodKd2uHqePlW8oBAAYLI4fafHw82cVBRzbjAukE\nyGByw55l3w5Ll/T9YLF5e47FQKdJTK1KyUCnN1CV0VcOHA67YqEHKq8DAApL6IPG3aGYHdCy\nO7L9QJT4+IC+5kd39f9zQ1+7FrMnyZi1aKpYAq+W1pUoWpUrkfGr1vly+FLZSBk1zK19jXxM\n5UfeEysYlxKqkRw7IRaTONT3zYJJG16vP5+ww76HKAWqdxvvFXMqrgqDAWXprIy/Yp+k4OdC\nxBMGdO8T5B2gqdLZgqafAolEsrKySkxMjI+Pl321qKgIAHR1dQFg0qRJRCLx4MGDNTXof6Wy\nsrLLly8DwK9oL6sQaDloqJO3r/F5eHX07o19dbUpALB+1wdx79TK6uYFq1528lQD+po/uja6\nfx/z7l311y71HDlEZIpEJOIObu334NIoxKffwRbdl9bRXru4lG7udnrktAcT5j6y9jj7NrKo\nZQIMyZyQziBpp4cwdZwTKuuDzxdcvJmUnYdOCJ0499HLd/lcrqCunrVpz8fLt5KhDbrYaknW\nJQKAGp8FAP4u6iFnhp8/NDgrZu60wVZK0s1NXuTSyxo5DyfYrPIysNFCN3+x0CCV0KUWyGwq\nhaenieTAcQVCGot/eJCpu6H8xESEV3n0lzkN892lNhIWdJe/r8DkCZa9KDI4+M3oUMKqV8Wo\ny4mC/2esWLFCKBQOGzYsNDSUxxNtPrFYrJ07dz59+tTNzQ0pYLG0tFy2bFldXV2fPn2+fWu9\nTUxJSQkMDKyurp42bZqzc5sFwD+MIgbdKeKTKiSfJqRU8ngC2aYhchk2yHrYoNachLjEisIS\nuquznoVpa/fSLrZaKxZ6HDj5WfyWkUNsu/ldFEeEm5o5c5Y/S42cTSLiTI1UDfSo5ZVyHOao\nykRU7QkAWJmrd3VCi1EPV4Pnt8ftOxH7/HUev6WOo57G2nU4GunhgpCWVRP9tVTyjY9f5Eyf\nIP8PkaJEuHhkyMyl4Y1NHADQ5zcZ8xsBwMhKb8LI1pZUrvqUqOLWyTeweVvel54fZrGnv8lW\nXyPPi2kJFaJvPcVF21mX0tNISnwpBKyznpIQYGVE0bHPlRy+sLuBcqCtur2WUk49M76cweEL\njVSIpdK+VHk09nY/I1M1YmhGPZWIne2qO9haTvdYAFj3uuRIrOjXvS+qnIjD7PBrr32igv80\nM2bMSExMPHLkyKhRo9TV1S0tLQUCQWZmJpPJNDAwCAkJEY/cuXNnZWXllStX3NzcnJycTE1N\nS0pKUlNT+Xz+gAEDTp48+SumpxBo4AqEZ+KqIosa9ZQJSzz0rDXldPAzN1GTrOAwMVTtpDrL\n0r2rPrJqRrF/i9/4EfbfkiutLTT8eptxuPyUTCkP4twCmrLpgbEj7M8fGnz1xNAJcx7V1jMB\nwMlee/pEZywG4+9jZmGq9vlbuSqVlFtQv3X/p+LSRq8eRkd39Zdbj25mopqWWcOXrrKTbBdw\n7lrib+teod6l1LbvfR2TV6CtOmX/sMqHX6pDI5WFXADAU5XGrQiQHJZPQ19CUqpElqdkPDZ6\npsPNlNr8enZ3A+UR9hoAMMFJKyKPfimhGgCoRNzZQHMNMn5fdPmBaJGMxpU3x5WLQkB6VMJo\new13I+WZD/MlP8JVXxmHwczvrju/jYWzmPvpUuGme2l1CoH+/83hw4eHDx9+4cKFqKio9PR0\nLBZrbW0dFBS0fPlydfXWkAsej7906dKECRNOnz6dnJz8+vVrEonk7e09ffr0adOmIdl4Px2F\nQMPU0LxbqSIpvJxYEz/XyUrG/GHjCu+X7wrEORi71v+SXr89XA2Q3TYAqK1jCmUKlPkC4a3Q\ndF1typGd/SOfBPuNvFlR1ZySUbNl76fQKyO7OuoKhVBdw7gVmq6loRQeMhZlfypJaXljv1G3\n8ovQG2XiypeqGsaStRFsmdhI757yywKrGTzXMymidauVlfpkVe38Eh6RUOZg9b4ZN15ipDoJ\nVy4drLaTiGyQ8Vhx5xQEDMDF4RYbfAyL6RwXPSUNMv5NPn3da6mqGTGVTdyTX6vgKwy1URe3\nBl/WU9/bpLNlfjjpBEdcR30UhULhlxfJuYnFBhY6PqPccX+hsZaCn8Xs2bPbqu5TV1eXrcn2\n9/f39/fv8LQYDCYgIADZMPx7+F8X6PImrlidAYDO5l/4Vr3LH71icnPRS/s0O+RBGovNGz7I\nRrap4E/HUJ9qpK9SWoHedgOA52/yAWDv8RhxfnFTM2fR6ojM6Dlz/3h+/prIQeLgqS+qKkR9\nPeq6pZ6IDYgYBpPbb/QtycUygouDzqYVoh3t5PRqWXUGgPBXufOndZM9fvprlWRUgWagQzMQ\n6eyL3IauehRVEhbpjz6vu86yF621CWQ8dlNf+eluVc1cKhFHIWABwFKDJHZN+u15YTv2Ggjp\nNcz0hS7pNUw7LbKDznckSk5w1Nz9qXUTeKJTm1alCAfmXnpzS7Rn++Tcu93hK+TWiCtQ8AP8\nrwt0dTM6Q6tK5giCmbEqUsGBQiiE6/dS7jzMpFIIo4fZddg+CoVAICwsoWOxGDOZGuvb54eP\nmRkmVmExqipEAHj9UapEKjuvLiQ0TazOAMDjC+porDoaK3jhYwM9ZX8fMwBooLMXrn75/lNR\nqUyTFEsz9bhX08WhG9n5IGRk1yLdFAMHWkm2FCimt5l9GJpRhwQoRnXRuDnK+ree+nVM3o6P\nZYjGsniCA9HlJ4eYS31KDWvig5yECgYWA3PcdE8MMcO1FE3yhcKMGhb6M2QooXNstcj22mSB\nEF7mNpQ2cnoYUp10O1bqrb7GRBw2JKUWh4VgZ+3V3u35k+UmFonVGQDSYnI+PYzvO6ZHh5+i\nQEFn+F8XaHttJV1lgqQo+5p33CVETFMzx2vo9eQWh+VbYel7NvmKqzY6pKSscdSMUCRpr6+X\nyf1LI7U0WhXE28M4P25+SnrNvccZe47Fio9bm6t/ii0tLZNSWBVlkrgVrCz3n2T6+5jV1DGt\ne5xpkJvHjQFzE7WaOqa+rmhHztpCY/oEZ9mcjZx82twVzwFAhUqMuDe+p5vIXKaHIfVcPNqI\nAwCwGKC1tBN8kF6/L6p8g49hXj1bcgV86msVXwCnA83F0QREnQFAIIQzcVX22uRlPUWBexwG\nY6lJzK6V+hY4DKCyLdwNlbEY4PCFA65nIPUpALCnv8kqrw4MIYk4zFZfo07WsJTno7+y7BEF\nCn6Y//V4GRGHuTPGGmmJhMXAEg+9drpvyLJm27vkNKl/yIOnvnT+7YvXRIhTqt9HFa/a+g41\ngMcTuHfT/3OD77mDAf18zBA3jFthGb2HXedLd9mxtdIoLZffORAAkIKOQ6e+yFdnABDCm8jC\nkdMeSEbnLh4Zcu9i0OQxDsqU1qRpcfyusYmzelvrhGe6ao/qIqqgpRJx4x21+luqjnPQRIUi\nEK2skfbIB4Cz8VVXE0UZprVMnjiRA+FVnlSNyUpPtMiOsNcIHW9jp01u+b6gQsIJAC4nVovV\nGQBWvyqubOMO6ccQeyeJsXRpz7pPgYLv4n99BQ0Afc1U8n7rmlfP1lXGd6Zdnhh6I/tiCHqB\nWUdjcrkCAqFTV74PMVLO/e+jWiOzp698W7/rQ109q4ut1rmDAbODu3J5AlRYQ5IhA6yqaxly\n7eIAYNwIewDIzEXnOKOIiSvLL6KJtxYxGBgdaDc60O75m/zBE+7Ijs/Ibk14wGEw98fapFYz\nK5q43fQpiBE+TyB8kk1jSGRt6ynjAcDXTFXWX/9DYeO0rtoAcC8NXbajIV1UMstVd/O7Uklr\npKE26kF2Gie+VGbWsABAKIQXOQ3DQ7Jk93vTq5l6MkU6P4yRtV7w+uHXdz5Cnvab5NljYJul\nSQoUfC//6ytoBAIWY6dF/i51BoDXHwuZLPRK0KuHUSfVGQBQrvxiG+iPMSULVr5EOsmmZ9WO\nmh7a2MSRrTYktmxGuTrr/bHQ4+iuAeLaEx1tStAQGyMDFfdu+vcuBvXxNAGAro4dd6iSLQoH\ngLa6xjjay9TX6Cj1s1AVtynBYzHi0AQAkPHYpT31AWC5p/4oe7RhjX6LWeiOj2hrjnnSuXFY\nDDwYZ4NYKWExsKiH3oxuOkKAdwVSe6ov8xrstNFBZ1uZWhgEgRAya1mZtayOdh/RTFoTeDZ+\n25rLc45FblhxZobCdFTBT0Sxgv5xkHIMSdRUiJ1sIIKwfH4PJJ6L8McikQHxi7dSRhlVNYy4\nxAoqBd2aOvpZcGZOnbYWxc/bFI/HDg+wzoieE/o06+W7vOpaplAA9y4GSTbkXjbP/e6j9OR0\n+a72ANDVUdfGUo5tZg9XfSMDCmnHfwAAIABJREFUlVIkOc5aF1xNgIQnVdM3Lut4N2yHv7GT\nrtLznAYVEm5edx1nXQqSKmOuTvI0pkaXiMIy6mTcHDcdAOAJhBXS3hq2mmTZYu5extTsJS6F\nNI4WBa9GwgGAENCdY3gC4RQXrUsJ1V/LRButG/sYIpkk9Szejg9lUSVNhiqE1V6GxqqE4bey\nkWTq7gbKV4IsnuU0VDbxfEypw+3QFxJZjG30jW3k5LYrUPAXUQj0j9PXy5SiRBAnRxMJ2M8v\np1lbdPz/LGbOlK5GBtQ7DzPweGzwGEdfb1PkuGzHPxUq8WKIVAcmFwdtWytNNxd9ABAK4fiF\n+EshSVyuoKGRVVTSCABfoeLlu/wvEdMcWzz+VajE+NczXn0oiEus2PDnR8mzkUi4QX4W+7f4\nvY8q4nD5nu5GkkXbVGXikxtjlqyNiK1mcQNErdvY6pStn6tePMsqKqV7uBrMn+4qd6GNAZjo\npCVOVqOx+N3PpeTVi0LhniZUS3WSPpWwuIeeuToJAPBYjKs+5UtZa+5KM1eQUsVEJWBUM3gp\nVQxjVSKizsgHOegoJVe2Bq9ttcgqRFzUTIeHGfXFdI6XCbWnERUABEIIup0tjk0/z2nwMVUR\nl7rElTf3OJfG5AkAYH80LOupf2iQqez3aqYza8to+mbaxI78sBQo+GEUIY4fx8xYNeTMcKQN\nlZGBys0zw2Xt6jtkSH+r3Rt9VVVIe47FLt/0BkmqGzfCXlKjPdwM7K21yiul8u1SMmpULA6Z\nuZ168jL31OVvS9ZGxCdVJqdXI+qMwGTxJLvWAgAejw3wt1y71NOnV+vuljKFkPBmxqm9g4ZP\neeA3MmTQuDu2vc7GJUpVt3dz0v34ePLktX6th5jcd3vf7j4ac/N+2rINr1EbjGJq6piSmYJX\nEqvF6gwA0cVNW32N9w8wNZewfj4TaKEn0RultJEzNCSzWSKQfTWpxvxIgv/VDNvjSTMe5ok/\n9lWwnThX2liV+GySHQAQsJgxDpq/99JH1BkAsutYkjuHDK5AsvQcAJgScZ4jsRU1DHQgK2Tv\n04kWK+b32Bxsu/JjaBwo+Jexe/duDAbj5eUlEKBDdjweD4PBuLuLTNXXrFmDwWCuX7+OGlZY\nWGhqaorBYFavXv13zLgNFCvov4SGOtnMWJXD4TnaacsNDnRIUzOnz/AbiEXR8zd5T17mfH4x\nNTWjZsVCj9i4UloD28PNYP3vXrLdVJE/vKISetC0B7I1h5Lnlz2IxWLCrozeeTgq6nOpkYHK\n6iU97W20pi95mtHiXFpR1ewbFPLpabCk8yoAcCU/KLMCmlul9tnrvNTMaif71vG0BvaEuQ9f\nvM0HgF4eRg8uBBnoUYsa0PMppLFRW3mu+pT53XW3SriSFjVwvpY19zVTAYBaJm/ekwJWi4Ze\nTqwJsFYf76gJALrKhNwlXWuZPCZXgGTmyKVZpgCnnWpBIUBRA1ub0vqfkvQh89r2h8jjJhrj\n4PxLzt426rrfkZ2p4O8hOjr65MmTixcv/t43lpWV9evXr7i4eMWKFXv27PkVc+skCoH+cQqK\nG4ZMvIso4Mt3+cnjq9MiZyPu+50n4n2BpIFcdl59j4FXc/LrAYBIxB3Y6r94lsgqvq3CQj6/\nPWe7If3R9qEImhrkA1ulalvjkyolnzY1c0ZMuZ8RPUcycDHSXuNGckvhpUzzgYqqZkmBXr39\nHaLOABDzudRq7L17F4J6SDsfkfFYFz0KyECWKZgWa2hyJYMlvZP5ubQJEWgELSU8tFuP4qhL\nQbUJb2DLqZlEUCHiukgXIqZEZUs+ZTM4mXH5PQd3be8jFfxDrFu3LigoyNj4O9xUqqur+/fv\nn5ubu2zZsv379/+6uXUGRYjjx3n2Ok9yfVpe2fRROm2uM9TT0EVxiDoDAIfDX7H5jbg/wI51\nPm31wZIPBvZv9R/kZ9HJ4eamaHe3guKGpFSpJt+ju2geG2xmrk6iEnGeHlKlHFRlopuz1EbZ\ns+Qa6GkB3U1BhQwAzILa8fdz+5ipBrdkmivhsaeGmksuTsUE2WlItg200ST3aDEUNZG5BJqo\nEQGghsFLqWJ2xh2UhMOEjbcxV0Mvscc4aM7rrvtmin2QfWtC98XhFqgGhuo66B1LxfL534mr\nq2tjY+PChQs7/xYajTZw4MD09PTFixcfOnTo182tkyhW0D+ObMhVNhDRIT69TMgkvLgLIg6H\nlVwRczj8rNx69276a7a//y6TfgCYPbnrigXfUXO8aYX3s9d5qDQ7skzq4eIeeot7iKxI1hEF\n+0585vEEWhpK5w8P1tQgC4Vw7Hzc5VvJldqqZd42ove4m8P9eODymzj8T0WN10ZarfcxKqaz\nu+pRdNtISbbXJl8NsjwUU1FM53gYUff0NxGvqa00SFNctK8liXJRLNRJ07rqLAwvOBNXJRCC\nAZVwbaRVP4sOFNPNQHmGq87md1JOqhMcNUd30QQAPwvVlCpmRRPX1YCiJePe5zPK/da+8JpS\n0XXUxcfO1tW8/Y9T0D60Kvr7+1/ZTI77ACdL55/mHfj777/v27fv8ePHd+7cGTduXIfjm5qa\nAgICEhISFi5ceOzYsZ81jb+CQqB/nMH9LCX9l/V1lfv0+u4qMhtLjfOHBi9ZF1FPY2mokwf5\nWdwKTRe/isdjrS00ktKq5aqzpbk6Fgs5ea2eR5v+8IpPqmxs4gT4W/4+X446c7mCK7eTk9Or\nba00Z05yUZLQX/du+k9vjgmcdE/cOquHq4FsJwFJdq3v+/s8j8KSBkd7beRUJy/FL13/CgBg\nhkRbbgIO3M2AwQUAJOnCXptsr03OrmNt/1BW1cz1MVOZ112X0HJ/kFHDGn8/J6mSgQGY4qJ9\nfrgFQfrW4fIIyyE2atHFTSZqxNluuo8z6099Fa30y5u4E+7nzOuudyauspkjGGyjdmKwuTjD\nmisQfilt5vAFPY2p3WRCK10ljjjpKrVl3KGioXzk/fqHp15XFNRYu5oOm+OH+a47GwXSFGdV\nLPff3dzAAIDLmx+sPD/Lb3xnzRLah0AgnD9/3tPT87fffhswYIBsr1hJmExmYGBgbGzsvHnz\njh8//lMm8NdRCPSPY2Gq9uTGmLU73mfn1XV11N2/1V9DXX4RxJdv5fefZOFwmImjukhGaREm\nj3EYH2RfUdWsr6vMZPFS0mtSMkTl4zvX9VFXIz2JqJI5JSiR8S9uj9PXVd62P+r5mzyqMnHx\nLLdJox0YTO7mPZEXbiSFPEibHdx18azu4soJgUA4eMIdcTnipZDkT0+DJUPMA30tXj+YuOtw\ndElZo3dPo62rerfTuFYgEK7Y/Ob05QQ2h9fXy/TS0SHmJmqipBEcFijSS2NTTSDizdSIXqai\nVIqcOlb3s6mNHD4A3EmriypuujlKFC4PDs1NqmQAgBDgalKNg44SyrEIiwF/c9XbqXWn46q2\nvi8zV5cKVtQweDs/ipbGD9LraSz+jZFW+lRCaSNnwLXM9BomAJioEp9OspvkpHUzRRRS3+Fn\nLNcKXC4aeqrTt4zs5GAF7XNr71NEnREubrz/swQaADw8PJYsWXLkyJE//vjjwoULbQ3jcDgj\nR458//49APTv3//fU22kEOi/RF8vk6jw4PbH3HucOXZWGPJ4/8nP4SFj+/mY8fnC4xfiT12K\np9HZzg46f67v695NHwBUqMS4V9PCnmWXVzb59DJBfE2tzNG2zno6ymcPBCA513s3++7d7Ct+\naen61+evizKmf1v3ikTEzZ0qcgd996lIslg8LrHi0fPsscPtJc/s08v42a2xqI/j84V7j8de\nv5fK5wvsrbXojWzAgLam0t1HmWCgDhaa77iCsb+/+HJvnGj1zRdAHQO0WvcDMUS8EKCwgeNz\nKf3t1C7qZNz5b9WNEtkUISm1Bwea6lMJDWx+fLlUQuHrfLqspdycJwWPMusBgMPni/3+5fIm\nn25w8JsBlYDHYsQbg8V0Tr9r6X1MVXf6G1tpkl31KG1VGCr41VRI20vVltPYDA5Jpizrh9mx\nY0doaOjFixeDg4P9/Pzkjlm3bl1lZWVAQMCLFy/mz5/v5eVlaGgod+TfjGKT8Jezdd8n8WMO\nh7/9wCcAWL7p9bINrzJz6yqrm1+9L/AZdkPc85BIxI0bYb90rrvYddrT3Qgx00Dw7W1amrRo\neIBEDAGAw+EXl9K5XMHtsHTJ4zcftOZBX7iZhJpbkbR3B5PFO3s1Yc3297fD0gUSGXV7j8eu\n2/k+LbMmM6fu4fPst5+K3kYW3X2UCY6GMNoV3MzAw+Krg+n7nHpx00V4kyFO8yDgMOJzJVQw\ndkWWAUB1Mzq5uKqZG1Xc5Ho2BRXIl40C8wTCl7lSVh5YiSWP3AS78iauZNoGMoH76XXr35SU\n0TkKdf4HsXCWCgwa2+j/RHUGACqVeurUKQCYO3cuiyXfqLaysnL69Onh4eFLliypra2dMWOG\nrKn/P4JCoH85JeVSIlhUQmdz+CcvfZM8yGLzbtxPlTxSUNywcsvbEVMe7DkWw+cLb50d8eja\n6G2rfe6cH/Hq7gRU5OHQ6S+qlodMXU/pOx7jcqUyxni81r8z2a7bXSRCzEwWz3PwtXl/vNhz\nLGbC3Efj5zwUvxTyIA3k4iGRIoLHHo6rXrnIY81vvXS1Keos9hRWY9hoyycT7bjSmRXfKpoB\nwNdcKhdCn0qw0CCNvpudX4/221vUA92kCofFEKV/AsKWMm8MBuNl3F4DWVmOfa5s66VqBm9a\nWJ7hwW8OJ5PPf1P4iP4SgtcPN7EV5f8oq1EWH5n80z9iyJAhEydOzMnJ2bp1q9wB48aNu3Dh\nAgaD+fPPP21sbF6+fHn06NGfPo0fQBHi+KuwOfw3HwubGdy+XiY6Wq27TJXVzSEP0hlMrr21\nVkxcq/uPh5thcWmjrCcRXaIdSWZOnWu/S0wmDwAevcg+cjYu9eMsVPNZMe8+FS3f9AZ5XEdj\noVLxJBsI1NZJhQJwOGy/Pmbip3cfZSRKJNXde5wZn1SJrOL5cgthZALNJY1cPB7754a+f27o\nKz4oEIIaCSeZaGylQQaAYBftL2XNJ75UCoRgokq8Mcoqq5aFcuGw01K6NMLC0xjdrYrNEwy0\nUpM0vRMvd4RC4Z20+lVeBh+LGpOqmLI1KbLUynifipn8IDcirwEAypu4cx7na5LxYktVBT8L\ndR2VE9GbkiOzWAyOk7eNisb3XV87yeHDh1+8eLF///4xY8bIvjps2DCkqSCFQrl06VKfPn3W\nrFkzYMAABwcH2cF/J4oV9F+ivLLJuc+FIRPvjp0VZtPz7JuWCG9mTp2917nfN75ev+tDTFyZ\njrZIuB3stPdv8cvOQ/vSAcDgfpbix0fPfWVKqEZ5ZdPG3R/amsOJi/GSTwUCoaeHkaYG2dhQ\nZcvK3r/N6Y4cf/Y6LzVTyiZp6jhHyR3CwmK0VWlBsSiMMDrQFmThC1RYUkEDYTnaQRQAsBjY\n3b/1HlaZgPMxUQEADMDRALOalW6Zi1zyfuvqY6qiKRPK6KJNPhpbOedxvqQ1R0oV0/5EMqLO\nFALWy0RFtqqlrJETNdPh4nA5OeDqJLy7oZQE9LeUn5NXz+K9ypP6RnfSauWOVPAXwRPxrv4O\nnoHdfpE6A4Curu6BAwd4PN6cOXPaH+nt7b1s2TIWizV58mQOR04h7t+JQqD/Epv3RorrABvo\n7AWrXiKPdxyMojW03qqzWfxPT4Njn09NfDvD2FBFNjVi+CBrsUDTG9myts7RX8uhDRgylqfD\nBlrXZi4tTli4eaW3eEH96TO6y+roQKntwe5d0Y0WxQ1kNy73XrW4p4EeVVdb2d5ak0DAEgjY\nMcPsLoywwjBa/oKrm+LOxch1rJ7fXTd6pgPiktHM5QeH5c5+LKow1CDjbbXIeCwGAMzVSQMl\ntBIDEJZZfyu19vy3ao/zqR+LGgto7GtJNePv5xS2/GwZXIGNJqm7Afq/GilJH+eg+WyS3XgH\nLbOW2hYzNdKzybavp9gH2or2XfuaqRwfbC47ZwX//5g+fXr//v2/ffvW4cgdO3bY2dklJCRs\n2LDhb5hYOyhCHH+JpFSpuGR2Xh2TxVMi47PypKzx6U1sLpfv1UNUeufpbmRqrCreoKMqEw/v\n7A8ABcUN0xY//RBdLKvgNpZt3lmPDrQNj8iVPDJqiI3sMJT3NAA00Fn7TsRqaSiND+qiTCEM\n6W81Z0pXpN8gkYj7c31fi5baQgIBu2eT755NvshTLlcgFAqJRNyj5znCqzGgpwI8AVQ1glD4\nKbakn48ZyFBM50h6JF34Vr24h143falM5PBsWnlT68UGFVVZGVGcUMlgy4SGPpc23x5j5X4u\njSNR4DPSXlT5HWCtFmCtBgAVTdx6Fs9ak4ykVD+eYFvH5PGFoEPBt2VkokHGD7BSk9yNHO/4\nHd12FPwLOX36tLOzM5PZXtoPACgpKV2+fNnb2/vAgQNDhgzx9fX9W2YnB8UK+i9hbSmVAGeo\nr4LUa+hqoWsckFbcCCpU4ovb44YHWBsZqPh6mz67NRaRQkSdAYAvvatGJuHXLpXTr/ZbcuXS\n9a9i48rdJRa/q3/rZWctR0cmjXYwMmjdl9PSUJq84PGqre9mLXvm2Pt8dS0DAM4eCEiLnP34\n+pic2LnL265CJBCwRCIOAAz0lIHHh1IaVNKRMLBkG1lJsuvQu+eZtVJHTsdVBYZkJVcxoA2+\nljXJqjMA4LAYMh6bNN/Ry4RKwmGMVYkHB5pKWnMg6FMJXbSVJAteNJXwZ+OqtPfFK+36MuRm\npqyLEwBcH2k1rau2oQrRUUfp/DCLkTJNBhT8t7CystqyZUtnRvbq1WvFihUCgWDatGk0Gq3j\nN/waMP+SbJJfR1xcnLu7+6JFi35FdVBmTp3nkGuInwaRiLtybOiEkV0A4ElEzrDJ9yVHkkj4\nt6ETPN3bbEXKYHJVLA4JpJdzRAJuwfRuy+b3MDdBG2W8+1TkNzJE/PT3+T26Oel276ovdn+W\npbK6+dj5uILihppaptjGCGHdMs+d6/p0/IWlEQiEAePvRLwvAAyAmxne1YSiSh5io350sJkO\nBf+1rDkss14Jj53opJVSxRhxW8pjKHWBs4OECZHN8aQcGRHvJEQc5thgs7lu6GSP9rmSWDP9\nYWtjBE9jatTMf3hHSIECFAqB/qtU1zLuPMxoZnCHDrASiyOHw/cYdDVR2mnI28M48kmbKUR8\nvlDV8hBDxiKuZ3cDPA7r5W68ZmkvTY3WdN2hk+6Fv2qNbBgbqhQndNYUpov3ebGzKIK9tVbC\nuxlyHffLK5vyCmk2lpq62nJs59gc/rlriSGZ9VHU1uX5EBv1SU5awaGi6Snhse+md9kXVS7O\nu1jtbbC7n1T2q9qeOHrblnL9LVRf5UvF5Uk4DFviPoOMx9asdFNuo9lYRg1r47uS9Gqmg47S\nNl9je20yAIy9l4Nqflj9h5tc5yYFCv4pFCGOv4qOFmXRTLdVi3tKLl2JRFzEvfFUqlQWWnp2\nm72mAACHw8wOdpE9HhtX/ulz6b6Tsb2HXedKmNaXV0p5zFdWN/M7YeSGIG5dKCYjp3bIxLux\n8ehmgNv2fzJ1PdU78IZpt5OHz3yVPRWJiFs8y03dVUptX+Q0bHjTuifJ5Al2fCi9O8b6w/Qu\nl0ZYfpvrhFJnAOhjhraIk6SfpZoKSeriYUCVqmVg8QTZtfIX4LVMnv/V9HtpdanVzLtpdf5X\n0+uYPAAgSwf6sZj2XKEVKPhHUAj0r0JHi+LdQ8qXq53gA8L+Lf7b1/oQZJLGENKzaiXzqb2l\n3T57dTdEthazcuveRhZV1zJyC2hjZoZZup/uN/pWZKxUCsfEUV1kz//mY2GvgGsrt7wVH4mN\nL9u8NxJJ2WZz+L9vfI1ad4tBmRkJhMJiulS9yefS5qEhWTeTa3ubUFF7gwgnBpu7tSRjyA6o\nY/KOD27de9RUQucj47EYK035TtwReQ2S/b/Lm7gReXQAmOIi9etQJuJ09n/T2BO//QP6KqVA\nwT+F4obuF7Jnk+/XhIraeiYAqKuRUAb5shAI2A2/e/n3NluyNiIprRqPx7KkU+iS0qrEraq2\nr+mTmFr1MaYEAOysNc8eCBAKYfqSp1fvpAAARQlPVSZW1TAAIL+oITauLOHtDHG/xBULPPh8\n4ZZ9kRyZOo79Jz8P9LUY4GsOAK/eF6BejY0vt7eRswM50UnrYWZr4ooQALWar2zmhmfTAOBu\nWl3CPCfZamxTNeKX2Y559Sw8FqNFwVscSZSsHxlgqTrAUq2bHiU8p0GVhBvnoEnAYcJzaBk1\nolXzLn9jlTZaj7N46BsLJk/AEwgLGth9zFTy6zmAEZbQOY1sPgDQ2LxN70rM1IlTXTq4mipQ\n8DegEOhfSFdH3ayYuc/f5AmEwkF+FpJ1higYTO7xC/GxcWUmRqq/z+8R92o6AExf8vTK7RTJ\nYX09W7uXqquR3j+cjCT2qSgTv6VUhoSmI+oMAAwmjyEhcM0M7qPnOeLEDBwOs3ZpLy6Xv3lv\npOxkRs8MTYucbWyoEvWlFPWSkYH8JI3xjprNXIuNb0vLGjtI7K9l8kJSald6oc2PAACLAbGf\n3N2x1tMf5hU1cJTw2C2+RgMs1QDARY8i2X7l21ynmym1HwoabbTJU7u2qaf+5qpUIq6p5VJE\nIWD9zVWnP8wTt4bBYdDW3o+zaAqBVvBvQCHQvxZNDfKk0R3kBggEwpHTQl++E6VV3LyflvB2\nhqE+deMK79th6ayWrbM+nsaqKsQRU++/+1Ssram0eknPuVO72VppXrmdMv+PF2LL/7bg8tCL\n5XXLPLk8wZkrCUiOnZjGJs6tsPQ/FnrIlsA4d2kzU2JmN53HmbSwTCmBphKxTRx0blw7pdVi\n/MxVC5d2K2vk6CgTCG3EhrPqWCteFtFYfADY+6n88QRbJJCdU8daGF74oZCuq0xY52M4v7vu\n/bHWMx/llzZyAIDBFcx+nIdEORBkQ/dKbUSZFCj4m1H8If7zpGfXitUZAKprGYhxkpW5esLb\nmfOmugb4WR7c5v/y7oTRM0MfPc+hN7LzCmnz/njx+EUOg8ldsLJjdSaT8IED0T4eeDx2+xqf\n8pTF7t3Q69m6eiYAdJHOp9bSJMtN5EC4klgTlilVnoPFYGTVGQA6bHcixlCF2JY6lzdxe11I\nQ9QZAOhs/m/PCwFAIISg29kReQ1svrCYzlnwtCA8m9bLmFoncVWQVGe5TG97Pa5Awd+JQqB/\nFVyuYO2O9+Zup8zcTq3a+o7dtmtPdQ26OqO6RlTpZGeteXr/wGe3x/4+v0dVdfPXhArJYQ+e\nZmXl1jNl1rkIwwfZ9PE0oSgRnLvo3L0Q1NYWJQ6HibiLTjgZ0NcCANYu7SUuPMFgQEuTEvUF\nXS8u5mCM1NzwWDkNwMh47C5/YyRe8RfZ86mcyZVS/7RqpkAIufWs1GqpOrGHmbT0GiYT1coL\nJ/WXT8aLLgMkHPbCcAv/Tl9CFCj4pfyXQhzl5eVbtmwJDw+vrKzU1NQcMGDAtm3bLCw62xT1\nb2br/sjdR0V9qvadiAUASVt9SVyd9dRUSQ0SaQ9+vU1lh+Fl7rvxeKy5iRoOh5FMsAvws7Sz\n0fTqYTR2uH0n+0Koq5HCroye8Vt4cSmdokTYtro3MgETI9Xo8GAX30v0RrZQCFk5dUMm3kt+\nP9PUWI5+VTdLZXDLFv0Fu2ifH2ZBartFy3chW5porkHCYoCEQ/+USHiMuTo6wWOSi9bTLFpl\nMxcA5nfX3djX6G0+nYTDBFirUdvYbOwQAV9Aq27U0FVVdMBS8LP4zwh0WVmZh4dHaWmpv7//\nmDFjMjMzr1+/Hh4eHhMTY2Mjx3riH+fe40zJp3cfZcyZ0rWkrNGpizZqt1BNlRRyZviM38Ir\nq5uJRNzapb0kne3q6ln3n2QyWbxBfhZ+vU3fRhaJX5o4sgtVmbB8gce+47HIEUsz9Runh0nW\ns3SSfj5mhfELyiubdLQoBIlyj/jkSnFbcQCgN7J33kg+s9pb9gx9zFRup8px6UMg47Gb+hh+\nrzrHlze/KaBrkPHjHDVRSRrOukpIWoiYXsbUmJKmXsZUO21yZk2rfFtrkDSV8BYaJLHTtJ4y\nYf8AkxODzbLrWHrKBKRx7WTnv+Sz8fpm9OlVt5sbGKpa1EWHJvuM7P5XzqZAAcJ/RqA3b95c\nWlp68ODB33//HTly5cqV6dOnr1ix4tGjR//s3OSCamtWW8ew7XUWAJTI+JN7B06f4Cz56uB+\nlsUJCwuKGwz0lKnKrSlouQW0XgFXa+qYAEAk4k7tHWhlrvE2slBHi/LHIo/45MrhU+43M7hG\nBioB/pa9uhtMHOWgTJHfJ7sdWGze/hOfX77LV1UhLZ7lFuBv2c7gs3HVs0qbPYzQ1kuHB5kV\n0zlRxU1y3zWjm7ZNpzv+IZz8WrUovAB5vOV96ZfZjvoScZjV3gaPs2hpEtGMa4k11xJrDg8y\nRe2GhmXShACSfQA4AiGViCNgMc66bYbUv4uijPJjS69zWFwAoNc2HZh30ba7uZ6pwllJwV/l\nPxODDg0N1dXVXbp0qfjItGnTLC0tX758+e+sVpdsUgUAjS0RACaLt2DlS1TiBAAQCFgbSw1J\ndQaArfsia1pc9jkc/pZ9n84dDMj5PC/62RQVKnHllrfNDC4AlJY3Pn6RPWm0gzKFIBAI9xyL\ncfK5YOd5buPuj+3EvsUsWPly4+6PH2NKnkbkDp5w99WHAvFLfT1NNTQljJ+IODDTfCi9GYig\nTyV8muGQ/1vX1IVOsivlILvvsxniCYQrI1rvFUronH1RUoarGmR8wjynxxNsB1lJ+VWtfV1S\nKR1sKaFzPpdKNTmsZ/LaKjv8MZIjsxB1RuAwuSmRWT/x/Ar+Z/lvrKD5fP6ePXuwWCzS9UCM\nkpISh8Ph8/l4/L/ui2z43UsoFN64lwYAutrKMXGtOcUsNi8xtap/H/MOT5ItbVtaXEpH7EwB\nIOJdgeRLVTWMhJQqrx6NW+ozAAAgAElEQVRGB059XrP9PXJwx8EoJou3f4v8RpniyaC6bV28\nmSyem6YG+cSp4ZNWvITaZlCngKclqIjsm4tK6Fl5dfbWWsaGrVXaSLR3sI16WEbrzL1NVAZa\nfd/GYFkjlyG9B4gKOidVMhY9K4wtaUL1vmLyBD6mKh+LWpt7eZlQ9aW3QLEY+X0LfxiqOnol\nTtX4OWtzBf/j/Ot0TS44HG7WrFmog5mZmRkZGS4uLv9CdQYAAgG7bbXPttU+AHDsfJykQAOA\nqVGbeQIsNu/wma9vI4s0Nch6ulKRBGsLDUSdAUBdDR0xUFMlAUDIA+mmsffT2hdoJpOH6r+F\nBJ2FQthzLObs1QQmh68xyq0eKwoBK+GxYxw0Nu35uP1AFPI1N63w3rDcS/IMedJ9BYsa0G0G\nO8RYlahBxtdLJahgpoXlaVHwC911jVSJw25lIQahXGn/P20K/twwixG3shA70+4Gynv7mzzI\nqMdIGEwPtVEn/qS9SgT3gU56plqVRaLKFxNb/W595RTTK1Dwvfwbpa0zCASCJUuW8Pl8yaAH\nQnV19aJFi8RP6+vl3I//zUwd53Tk7NfcAtGm1uQxDrZWaMNiMTOXPhM3acXjsVRlYlMzBwCo\nysSTeweKh00a7bD3eKx4B8/X27SLjRYA8PlSaot6KguDyTXUUymtaF1yFpXS7TzPKZHxrW58\n1z5jvKzIZppOxiq7BpoxSxoQdQYALlewcffHwIHW3Zxaa1hQPQx5bVnitw0WA2cCzaeF5SHp\ncWok3OMs0e/xXHz1uUALufbNygTs+WEWdlrk5AXOyZUMAg7jqEPBYmDzu1LJGTzOojmcTH4z\n1V42u+PHUFZV2h+x+t7h50WZFeaORmOXDfq5fakV/M/ynxRooVC4cOHCiIiIoUOHTp8+HfUq\ng8G4e/fu3zyl4lJ6XFKlng5FruOzmiop7tX0CzeSCksaPN2NUOFpSWgN7FuhrS20eTxBE48D\nAAP6ml85PlTSDt/CVO3T08l7j8WWlDd69TBauagn0t1qdKBdUlprn5fRgXbQNuWVTa7+l8UB\ncRwWQyTiktNk2lc3soQvUpkAdGtNvzlOZ97nol7/8q1cUqBHddGQTEYe3aXNq5EsQoBv5c3Z\ndeyUKsYUF+3XBfTcOpZkz9kmDv9hJjpdxFlXiScAe20yorkELEZsvVTL5FU1o01c82ns1a+K\nb4+R04S3fcoaOTl1bBstsoF02ETLUH3e3gnfezYFCtrnvyfQfD5/7ty5Fy9e9PT0vHXrFkYm\n19fExKSurvUfOCEhwd+/A5eiv8ilkOSFq14i5XwDfS2e3BhDIGAzc+qiv5bq6yoP6GuBw2HU\nVEnt9CgR09DIlrvlGSHjWxQTV/bwWba1hcbmlb2tzFs3ytYu9WSyeFfvpPB4grHD7dtKvhbP\nvLqWASaa0McGVMj8JjYzMhsK2myNmplTl55dY2KItgYVZ0az+cKYkqa+5qrNXOG1xGqeQDje\nUWtPf7S5aFs0cwVDbmZ+KGxsfxhPAC56lKRK0XUFi8EkVzEBIL2GGZFH/zbX0VoiY0RLCa+n\nTKiU0ehvFW12b2mLHR/Ltr4v5QmEBCxmu5/xam85jiIKFPxE/nUC/eTJkzVr1kgeiY+PJxJF\nN4wMBmPcuHFPnz719/d/+PAhlSrHuweLxWpotOYMqKr+5KqwAhp7b1R5Xj3bVZ+y0suAwBeI\n1RkAXr7LP38jkc8Xrtj8BvGK69Xd8E3oRHHsuH1MjVTNjFVlm8YCQFEpXbyCvnI7ZfqSp8jj\n7QeiAvwtY+JKGUyevY3m2qW9dq3v++eGvp35uMrqZqCSYIgTEHAAAOpKEOAIN78Avc2mbUQC\nLsDf0tPdKPqrKKre18sE2VTMqWMNupGJBKCVidhmjgAAHmbWT3DS6tti9/ypuOlSQjWLJwiy\n0xjj0LqyfpHbsPFtSWo1E7U3KBdfc5VDg0zXvymJLW0SCKX2D5s4/JsptZv6SN3HHBtsNiU0\nly1tutGWPWlbfC1r3vhWVEjJFQjXvC4ebK0mad6kQMFP518n0DQaLTVVKqlAIBD9x9bX1w8e\nPDg2NnbChAlXrlwRq/bfSTWD53kxraKJCwAvchsi8uhH3TRQVhixcWUhoeliJ8+YuLIzVxKW\nzXPvzPkxGPhjUc8layNQx6nKRMla7U17Poof8/iCJxE5yOP4pMqxsx5OHZd75fjQznyct4fx\n0Q8lInVGwOPARANSmQBAJuN1tCglZY3iREZPdyMbS00MBt6GTbwckpyeXetkrz11nBNiRb3s\nRZF4e7C5xYWjvIk76UFu8bJuWAw8z2kYfFNUv3MjuXZvf5OVXgbvCuhPs2lHYys5nQtVT3HR\nnu+ui8NgrgRZbnxbsuMj2r45UWZpPNZBs7uB8oHo8rPx1UhAnELAbu1rDN/D57Jm2SMKgVbw\nS/nXCXRwcHBwcLDscRaLFRgYGBsbu3z58v3798tGNv4eHqTXVUi4v8eVN9cRdDHSfpVEIg7l\ns5ySIRPVbZsxw+xWbX0r6bChpES4cHiwOEWazxeWVcivB0G4eicFaVHY1gChEO4/yXz3qUhL\nU8ndTkuqUYoADFVJNQScs4POoe39fHoZv3yXv/toTHlls08v4+1rfOpZvKxalpUmed60bqjT\nxpWjJQyhrJGTT2NbaZCOfJby6zgYU1HRxEWZeLTDbDfdbb5G6mTcm3y6QAheJtRjnytlhz3I\nqN8VWbaut6HkQUsN0okh5ot66D3MrCfgMOMctEzVvu8Cb6yCrgAyVlHsBCr4tfzrBLot1q1b\nFxUVNWfOnAMHDvyD06hnoes++CT8qsW99hyLER958CgLi8VItn+1s/6OXTJ9XeWLR4bMX/mi\ngc7G47ETRzkc2u6vpdFaLYLDYVyd9b58K2/nJNl5de0I9IrNbw6d/iI6Gx4LI8hgoAYAUMfA\nPEsuq2cAgAqV+D6qMC6xYtwI+zcPJiKDj3+pXBmRzuIJCFjMFl8jlAiaqZEkr16tE8Zg9JTx\nAFDdLHWrUcvkdUad3Q2V/cxVGVzBl7KmgdczSxvZ9Uw+AOhTCY3y3PIAYMeHslVeBngZTwwH\nHSXJTrXfRYC1eg9D5S8t62gvE2p/S4WnkoJfy3+jaWxFRYWZmRmHw+nZsyeZjM7/ffLkidxg\nNMLPbRobW9rU60JrlgWViMtZ4qKnTPAOvBH1udXpzdxEraC4AXnsZK8T/SwYVSLYIc0Mbm4B\nzdhARVODnJJRXV3D7Oakq6Eu+u7xSZU+w27IdpgVkxk9p61MvsYmjrr1Yan24SQ89LEBbRUI\nT4YGdPRZhUqMfBLs4qCTWcuyP5Ek+VLsLEfJmu/nOQ0jbmdxZPyVl/XUPzTIFACWv/y/9u47\noKmrbQD4k70IYSXsKcoQByDgQAVX3buOfrVaq1JXbbXDOtr6Vn1trba1trWt9rXSWkVbR9XW\ngbMOUERRBJW990pIICG53x8Xw80N4EIS8fn9xT3c3Bzw+nBy7jnPk/MlJSL3dBDeaO5JnYTH\nthdzMivrOUx4tbvdN8Pdf7pesujvbOMzOUyGpoWJkYKlgbSFFk9P1aDbfr00tUzVVSac3dOO\nj2mj0TP2fIygr1y5olarASAuLs74uw0ND08A31bCnC22jnBfHpunUGsdLDg/jfa0F3E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7rfnsng7CstqGE5S8dw2U53x5NWqd2aQ5RKjN\nYYB+tqws+Vf+ea2rrx2fz3J3sfxm3TCN4bq0+xmV1MOV7/SlHpZVKleuP//b/jsffXYhfPSv\ntAz9W34yKFb19Y9NmwM72xiUNXAWcwVsZmZO9d6zWdR2Qqub/fnlhpaTec7qYXcjKmDDYNfv\nR3ncXdh9bBcrZnMj+YHulgwG+HWxDepun1JOf5KZUVHnacXT5wnJqVbTKsPeMVpDTVVd3+KG\nxjulqjuUvYWnMmq2xBefSK/GmI06BpzieOZ6Bshun3+D/Fqj0S1fe0auaJrY7e5vkCNtyjhf\nV2fxvsN3WUyGm7PlWytP6b+VfLfs2KmMyWN89C1lFQZxrayiady6eoDTsftVZLofLouxOkzW\nd2T0lYQC8DdcL8FgHEgsnr3k2K5vR7fU/x72Qv2eugs5cuMR6/QA26WU/SNdbOklb3zsDLb/\nuUm4Ig6TuoC6a6v7A7tKBS6W3DzD2XDKT9D4xasH0n+71Th9P9nfJmayN67QQM87HEG3Kw6H\nuW3jS3xe49/FXj0d3nmTXu27Ty/nzf8ZtPGTSEtLeuagohKDxMSR/QwWIUSGN+0s72zDv7uo\n+7ZRHl8MdbsRFRD789Ur5MwGlwVWlKdqIR5Qpojel0y7crNOZ9bE3KmkNX4x1HX3xE7U9dFT\nu9r2o6SNXhRi72MYsjlMxtfD3fUbTPzsBEt7t5aNmsti/DmlM7nJW2CY4LSHvdBfKihTNkyK\nSdNHZwDYf6eCtoMRoecRjqDb2yuT/MPDXC7G50nthJH93FktZ/zp04u+DTo8rHFrX3VN/aeb\nL6VlVllJ+FXVdQAwLMLzM8MqAbYCdtSDFMYXruQ2tiblw7QQKK4BpRqcJMBhwbUsACgqqXWQ\ntVj8iQB4eV/aHykVxt8a7k2fleayGGdn+h2+W5VZVR/sKIxobjPeG4HScDfx2awaqZAzqotV\n62mPACDESZQ8v1uFqiGhsHbk7nv6DEqzetgxgDF+772LufRyXCllKizqip53GKBNwM3F0s3F\n/6Gndelks23jS8s+Pl2r1PB57A2rB+oLdU+POvx3bAb5NY/L/nPn+JFDmi/yRJLaChvHyDoC\n9l6z7edZzmHD3WJIKQIdYWcj8OtCXwtBdTyt2jg6CznML4a6NTs7wWYyJvrR033Q+NjyfYwm\nQ1pnI2B/drGQmt/u+4SSUV2sjKMzPGzaBKHnAk5xmLWomT0Lby+6eXZ28Z1FS+Y1ToYUl9bq\nozMA1KsbjpxIb/06S+eHNB1odVum+0d5CuF2AWh1DjLRnp/G8Vota2ucCGltpEvRssD5vVor\nMtKgI26VKGkbSZ5SvtxgJjqvRq1qLhnIq91sB3ni8Bk993AEbe7EFtzu/lJqi8qoIEitkr42\nmWbWtG4OMtGeAylMJuOVSf5DBni8Msn/Px/0Ly6t7dLJpvXoDAB+dvTR6FAvSbPZ9/WSS1UT\n9t4ndwwO8rQ8OLVz6+c/ot7OFqllTRG/t4uFn1TgZc3LqGxaLLh5mNs7vZ+2XC9C5gAD9PPH\n3UUS4Cu9ndqU03nMS96tnE8aPshr+CAvaovMTiizEzZ7cn6h/L01Z89ezHGQiZa/1fvlcb4T\n/az/TGl8QvhGoDTUucUJ68ZzDmfqsx2dzqwZFn337Cy/ZueaG3TE9sTSC9lymYizKNS+kzVP\nSxB7kyvulKp87QTTutqwKU8gNwxxvVmsTCxSAkBnG/53Iz04TMahqV2ijmbG5dVKReyPBji3\nPq5H6DnCIDr6Ov+EhIRevXotXLhw69atpu5L80rLlf/9+sq1G4WeblYr3u5DLcvdknvpFfOW\n/fNvXJ6VJf+Dt8LeWxjWhv0hCAgbvotaUPzMgekD+7nFZtSklqt62Av7u4kBILOqfuGxrHPZ\ncnsRZ3m447ygprCo1hLC9de0hrfWO73tNw8zqGBAmnEg/dcHCzAseayEuQGL/s46/mBnSqSH\n5e+TOv2QUJJTrQ5xEs0OlLIYjJvFygYd0cNeSM01qtERHCwaiDoWDNAmplZre4+ITrzVWP7D\n1lqQdG62k8Mj5dxQq7XcR5g30GqJVtaKGMvIruoU8gO1ZcHrgStWRUzcm3a7VCnkMJf1cfyg\nn2PgD7dvFjetvD72is8I76bMHvabEksMM9JxmIzS94LIZBqqBt2OxNK7ZXUuEu7yU7nU06Z1\ntdmTbPBAUipklz7Ybj7Ox/rA1M4YhtELAh8Smti1m0X66AwA5ZWq/X/dfcTXth6d6zW69z45\nY+X9lch906TXD5SUPaQ8Sit0BPT88XZ8gUKp0ZUpGz6MzV1/oYAanQHgQKpBVDXOIKrREZ9f\nLAQAtZYYuDNl8d/ZW68W06IzAOQYbUgppSQDOXS3MrmkzXKuImTmMECbWI1RKozqmhaTYzyi\n4+nVft8l8acc+Ndnyt8AABgkSURBVOK7+Oqa+nq19s+j9+Yu/bv1V+k/Snm6WQX3MHjI1rWP\nW1mtwZPJ6FsGpUkAgDa9sLS3w0Qf+kq7G8VKAPg7repqQYv7YoZ5tZZgDwAK5M1vKUSo48EA\nbWKhgU5WEoMdg8MiPZ7mgjnV6skx91Pvl8N9g6qpx09ntlSlu7qm/rWFRyw8Nks6fbX4w5Ma\njfbAzgkvj/WV2Qm7+Ul/+36MZwB9OKzVEeRMtN70APpK6t8md+Ia1lzpZM0DAONN22QqOyYD\n5veSfTTQeVmfprcb72sQ5YUcZqDjQ55PItRh4CoOE7Ox5u//ecLcd/7OzKm2tuJvWDUwLIi+\ngfCxHEosVvwWDyVyWjtBgFyhsbVpZlbk7VWx0fuSya+37rguseSt/XBAzPZx+hOq6rQcFkND\nqRc10dd6WR+HlafzzmXLZSL2+30dww3jNQDwWczNw1wX/d1YpNXBgvN+X0cACHOmz7Cfes2H\nx2I6WHBsBeyVp/O2xBUBgI2A/cVQ19d7St85nvNVXBEAWPJY20Z5SLF+K3ph4ENCc1FRWWdt\nxW826fNjCZ/+x8VYepUAUr9Ql3OHXjF+YGjns6W8smlit5ufNOncbNo5MXcqZh3MUDXoGAwY\n6S05Mt0HHs3VgtoT6dU2Ava0ABt90uf/nM//9HxBg47gMBlrB7mQgRsADt2tHL/3vv61NgJ2\n9pIeFlxWgVydW6P2sxMYV7RCqAPDwYi5sLF+vH3PLclJLTE4ZjJAwAERD6pUF+Pzku6UBHaz\np72Eb5gsn2+UOx8ApvjbTPazyatRO1hwuI+zJiTESRTiRJ+U+GiA8xuB0rSK+i62fEeLpnJc\n57INBv4Vqoabxap+rhZOYq6TuJkK6Ah1bBigOxone4vcfEoitzBPCHQDJgM0Wjh/v7KqmY3X\nr03p+t+vr+gPZ04NaPbKTAa4SdosSjqLuc4PYm5CYe3/bpTVN+jUOvrnOTuc0EAvMLz7Ta+m\nXptcqnK04HhY0fOLPoH3F4dNev1A44GzFQQ/2BvCYTEifBw7NZMUac37/SWWvH2H73LYzJnT\nAqJeCwSApDulH224cD+zsru/9NPl/b09mx7WEQCnMqrTKup7Ogj7uDxqmUQqAqCqroGc8Tid\nWTM4OlX/LSGHqU/nP6qzlXF2aYReHBigTexAauXswxlVdVoAeL2ndMdYz8eahS5SaKz4LD4l\nS/LEUV3+PfJ/v+2/QxDQEOi6Pa1p0oBgMVKqNV0ciQK5xl7UNFPB4TA/WNz7g8W99WcWFisG\nTfidnJi+c7fs8tX8pHOzLcU8ANARMH7vvb/uVZFnLgqx/2ZEM/sDW/HLzbJlJ3LKVQ3uEt62\nUR5b4g3qXYm5rDcCpXk16r6uFgtD7HFPCnqRYYB+hgiA1uOLQq2deTBD/mD12/9ulA7ytHy1\nW2uZP/USi5Sv/JmWWlbHZjKWhNlvHOqmf69+oS79Ql3IC1IDNABkVNa7fHmjSKERcpifRros\nbSGp0JaYFOpjw+y8mnOXcsmMH3/dq9RHZwDYerV4TpBUX3LloW4UKWcdakzFl11dP2V/modh\n5e8KVcOXL7mxnv5pKULPP1wH/UycyqgJ+P4W+9P4rt/fOk4peEqTXKqSG65NvpRLXx7XLAJg\n8r77ZF63Bh2x6XLRLzfLjE+b7G/jTSlO2N9N/J/z+WRZbqVGt+xEzoWcZt5OR8C2eHoV1+Ka\n+mUncoZEp264WEj7FrUq4EPFZhoUOpGrta6GT//6ulpgdEaIhCPotpdXo54Yc5+MvHdKVZNi\n7icv6OYuaWZ+2dloZYJxC5VcrV15Ou/IvSoui0lNsAkApzKqZ/Wwo50v5rLi5/hvjS9Jq6jr\n5SSyFbD/74BB5ujTmTX9jdYvZ1TWVUktgc2EB8VkOULOpmxVqrL57X/+j5Ma33idXFQvmbJB\ndzarBgD87AQ/jvZ89Ksh1LFhgG57Z7JqqOPiWo3uVEbNG4FS4zNdLLmzetjtfDD4dbTgzA1q\n5jS9+UezfjPaY02ybm5tHNm+eoATAFzMVYzaTc/yYWu4RqK6XptcorLisxhWAmJ4AFxMgyoV\n2Ip6vxp0Qdl85e8FvWSPPr8BAON8rFaf4RQ/yKPUVSoY5mU5totVemV9XYPO146Pw2eE9DBA\ntz1aYVMA4Bu16O0Y6zXI0/JSrsJJzI0KlspEnJbO1OiIP1LoNVv17zin1cgOAFFHMqvrDaZT\n7EWcKf5NqU33JJfP+yuL/NPiLxXcAVvwsAWCsOCxJ0W6XDieTX3tvCBZN3tBkIOor+vjreKQ\niTgXXvdbf6EgrbI+0EG4ItyJ/OV0sm6DFSwIdTAYoNveYC9LJzFXn9PHwYLzUqcWEwAxGTCj\nu92M7vTZCWMEAbRtn51ted7WfDshZ0mYfevD2HotQZsplok4cXP89X8PKlQNbxzO1K9vu1Oq\nmt9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"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": 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atObm6KUaOcO3SwuER1cXHF6dNkMHgPGuTa+AEOxmpv3tRWVrqGhEj9/Jrqo1Eq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\nAMAMwQEAzBAcAMDs/wHUuv9MZh1mkwAAAABJRU5ErkJggg==", "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": 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jw8XCAQ7NixIysr60O7czic+fPnz5s3r6KiYvXq1XJbg4OD4+Li1LNwJgY0QqiB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VGR1IV45u/vn5KSInUVnh04cADAihUrpC7Es5UrVwLY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\nkUwxoImIZIoBTUQkUwxoIiKZ+n/3TWYbks/AyAAAAABJRU5ErkJggg==", "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": [ "
    \n", "\t
  1. 519
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  4. \n", "
\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 0.7965082 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": 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EIIMKCRksOwQR9d2OPsP1iLbdr27/H6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OZEa3LbxJeFszTpkoLi42Lzx9+nR9ff3A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\nncKARgghO/X/qdnKby6VjzwAAAAASUVORK5CYII=", "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": 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5HJ5QqVqtlawWQSzGYnhaLZWrAOgqOjbN68mYhWrVrFVp2cnN5666309PT33nuv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", "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": 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Q6/f2XWmprXAOtWkpr58uAZ6fQIITmD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"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$points)\n", " return(fm_Scasat)\n", "}" ] }, { "cell_type": "code", "execution_count": 100, "metadata": {}, "outputs": [], "source": [ "start_time <- Sys.time()" ] }, { "cell_type": "code", "execution_count": 101, "metadata": {}, "outputs": [], "source": [ "fm_Scasat <- run_Scasat(se)" ] }, { "cell_type": "code", "execution_count": 102, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Time difference of 0.1346872 mins" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "end_time <- Sys.time()\n", "tol_time <- difftime(end_time, start_time, units = \"mins\")\n", "tol_time\n", "running_time <- c(running_time, Scasat=tol_time)" ] }, { "cell_type": "code", "execution_count": 103, "metadata": {}, "outputs": [], "source": [ "df_umap_Scasat <- run_umap(fm_Scasat)" ] }, { "cell_type": "code", "execution_count": 104, "metadata": {}, "outputs": [ { "data": { "image/png": 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DwGkPu3DuMqDFMU86GblWSAPQzt/Dbk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AvQpWAM2mosn/Fb3569vkv9U4Czw1h/z4kv/DI7Xa5S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\neMMjg4CiwT8AAAAASUVORK5CYII=", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "p_Scasat <- plot_umap(df_umap_Scasat,labels = labels,colormap = colormap,title='Scasat')\n", "p_Scasat" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### BROCKMAN" ] }, { "cell_type": "code", "execution_count": 105, "metadata": {}, "outputs": [], "source": [ "run_BROCKMAN_preprocess <- function(se,file_path){\n", " peaks = rowRanges(se)\n", " binary_mat = as.matrix((assays(se)$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": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 120, "metadata": {}, "outputs": [], "source": [ "start_time <- Sys.time()" ] }, { "cell_type": "code", "execution_count": 121, "metadata": { "scrolled": false }, "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": 122, "metadata": {}, "outputs": [ { "data": { "image/png": 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w0ODrYoDwwMzM/P12q11lewYUcAmqVGOuIYOnRoTbPYsVKNRmNR7uLiQkTFxcXs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", "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": 123, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Scaling data\n", "Doing PCA\n", "Using 10 PCs\n", "Doing tSNE\n", "sigma summary: Min. : 0.372067870788603 |1st Qu. : 0.480438899881517 |Median : 0.509646283034049 |Mean : 0.511209019709648 |3rd Qu. : 0.540402884949452 |Max. : 0.700813142190114 |\n", "Epoch: Iteration #100 error is: 16.0624802067278\n", "Epoch: Iteration #200 error is: 1.35202908977235\n", "Epoch: Iteration #300 error is: 1.23062879840078\n", "Epoch: Iteration #400 error is: 1.18725815154289\n", "Epoch: Iteration #500 error is: 1.17311970050835\n", "Epoch: Iteration #600 error is: 1.16646199386513\n", "Epoch: Iteration #700 error is: 1.16271134969856\n", "Epoch: Iteration #800 error is: 1.16031941172638\n", "Epoch: Iteration #900 error is: 1.15868486383393\n", "Epoch: Iteration #1000 error is: 1.15748030436633\n" ] } ], "source": [ "fm_BROCKMAN = run_BROCKMAN(mat_BROCKMAN,num_pcs=10)" ] }, { "cell_type": "code", "execution_count": 124, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Time difference of 13.76944 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": 125, "metadata": {}, "outputs": [], "source": [ "df_umap_BROCKMAN <- run_umap(fm_BROCKMAN)" ] }, { "cell_type": "code", "execution_count": 126, "metadata": {}, "outputs": [ { "data": { "image/png": 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5//+++/yzM6hNBH4/P548ePP3HiBADY2Nh07NgxNzf3/v379+/fT0xMjIyMFG58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\n6B2E6saMZjmu395j7I3FrPkWn7+eM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"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": 127, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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AoGT88ssv/v7+165d69y5s+bRhISExMTEBg0alHzDyqC0F69NXmfK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\nydFU6d26gpHNfLXdm3hXMAAAAKAxo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k//3l2f3ruuueNpVs1x/2wy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YKVc2PmJ/n1ySUTBEEQrjiO/+zbzBfe2m8y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\nFU9czJMRkV4k9ooJJiK/MK+nHx9YxwhzhMp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WKC3JLcmjcuSMvcO2l27M7DFtZWwaMGdZo0WqFQ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\nMA2DDRV2od0qYpMMlicb0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pRGkgsVglbKEAsAHqF9eahGuaA22jiB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/+cVJfq646+oXB1gDMvwpMWoWs216VQKE8M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\nAIqB4FmoyUD5Y0AJU1fYdkJxLGQiWHjBTV+ryzMHLwzFd57bf51YkX3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cv6JbPHX3cpsCDrFUsvW3b87FXjPmGc0fMWP6wHG6e8dGDX2U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\n2fMmQSHjpYf5rF5fWF4CwIjJerR4eWMLNujGsG85puuQ43cv3nwar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RyARCZdvHdtu4CQDo1bvqFXeugLQQwD1hggF6uDudSLqStid0JU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\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m4U8gc2Y3MLtUVgle+NakE0Es9AJgGA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YIq6psSFX/+raQ3N3rQiJi3C1dtw4eek/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\ntSNHjgQFxX8SlYq8cz8XShJKFeha1Zk6aSdLKM2qlHXv6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LRBlr7jw07+dq22pi7pPGxIiFrwTfE6mJqaWltbZ2RkGPRnZGTY29sbG/93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\nrzA/4Ad6mEWHv7y7eWhE59j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3Zpt3J/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\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6qP1LQycetPIyzI0Vy9oSchxuXmqZck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\n1k3jfkLf1jAotkKEBABBflZjQjizA75sqm72C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dv6OlBQRKXCJs6NVW8qkEgEEgmV6+0QeATYFz3VZZNVYYCamhBcnCXpBu9iRFB1ldUT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\nIyc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E8c/FZn0disRpwDQVAwegMhhD4dNCZj+KU/Cepb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\nF8U8SFQcUyiEXK4lG8fDi7VCtCJDYytKeHpGOk06Z4QQ+kRER0fT6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qDK9PRqnrO2DmCsXqW/cHGZXFbrXAqF6PNVp9m/jf2QE0YIoY/o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\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bP3jabSCnBt1UQrn1MvfdS0/qM1Fyq1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\n29bmaEKVLVMc0/q2JUOi0zs0RNbKhUmjQm4ZFFdTG09XQpO5HQ8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20llTb35GTW7RuTHzby7YoJDK/CYN0ezi+bcM/mLS+IjDPbd+XZmS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H+TWVi3b/oD49MTt184ldr7ykV5aal/n9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\nEGbOnGlp2UpVpd8iho0lYBjU+3eFxTW+yzal/O7J3PO1YWs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tSj0GFc+S8uselPrf7Wd9PBy8LMwNuinFkLRfE70hUihX3UmMzitb2jVk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\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8hjPSa71dHujZYAWJGA816WVwYswGhm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"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": 128, "metadata": {}, "outputs": [], "source": [ "dataset = 'BMcov1000'" ] }, { "cell_type": "code", "execution_count": 129, "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": 130, "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": 131, "metadata": {}, "outputs": [], "source": [ "saveRDS(se,paste0(workdir,'se.rds'))" ] }, { "cell_type": "code", "execution_count": 132, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/html": [ "
\n", "\t
control
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0.151366265614827
\n", "\t
chromVAR_motif
\n", "\t\t
1.02021130720774
\n", "\t
chromVAR_kmer
\n", "\t\t
1.99564216136932
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Cusanovich2018
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0.607216036319733
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Cistopic
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4.7678962747256
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GeneScoring
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0.0195876995722453
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Cicero
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9.50119105180105
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SnapATAC
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0.0652754227320353
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scABC
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0.119738113880157
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SCRAT
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0.796508189042409
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Scasat
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0.134687248865763
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BROCKMAN
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13.7694368958473
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\n" ], "text/latex": [ "\\begin{description*}\n", "\\item[control] 0.151366265614827\n", "\\item[chromVAR\\textbackslash{}\\_motif] 1.02021130720774\n", "\\item[chromVAR\\textbackslash{}\\_kmer] 1.99564216136932\n", "\\item[Cusanovich2018] 0.607216036319733\n", "\\item[Cistopic] 4.7678962747256\n", "\\item[GeneScoring] 0.0195876995722453\n", "\\item[Cicero] 9.50119105180105\n", "\\item[SnapATAC] 0.0652754227320353\n", "\\item[scABC] 0.119738113880157\n", "\\item[SCRAT] 0.796508189042409\n", "\\item[Scasat] 0.134687248865763\n", "\\item[BROCKMAN] 13.7694368958473\n", "\\end{description*}\n" ], "text/markdown": [ "control\n", ": 0.151366265614827chromVAR_motif\n", ": 1.02021130720774chromVAR_kmer\n", ": 1.99564216136932Cusanovich2018\n", ": 0.607216036319733Cistopic\n", ": 4.7678962747256GeneScoring\n", ": 0.0195876995722453Cicero\n", ": 9.50119105180105SnapATAC\n", ": 0.0652754227320353scABC\n", ": 0.119738113880157SCRAT\n", ": 0.796508189042409Scasat\n", ": 0.134687248865763BROCKMAN\n", ": 13.7694368958473\n", "\n" ], "text/plain": [ " control chromVAR_motif chromVAR_kmer Cusanovich2018 Cistopic \n", " 0.15136627 1.02021131 1.99564216 0.60721604 4.76789627 \n", " GeneScoring Cicero SnapATAC scABC SCRAT \n", " 0.01958770 9.50119105 0.06527542 0.11973811 0.79650819 \n", " Scasat BROCKMAN \n", " 0.13468725 13.76943690 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "running_time" ] }, { "cell_type": "code", "execution_count": 133, "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": 134, "metadata": {}, "outputs": [], "source": [ "save.image(file = './run_methods_bonemarrow_cov1000.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": 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