{ "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$umap_2)\n", " options(repr.plot.width=4, repr.plot.height=4)\n", " p <- ggplot(shuf(df_umap), aes(x = umap_1, y = umap_2, color = label)) +\n", " geom_point(size = 1) + scale_color_manual(values = colormap) +\n", " ggtitle(title)\n", " return(p)\n", "}" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Input" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "workdir = '../output/'\n", "path_umap = paste0(workdir,'umap_rds/')\n", "path_fm = paste0(workdir,'feature_matrices/')\n", "system(paste0('mkdir -p ',path_umap))\n", "system(paste0('mkdir -p ',path_fm))" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "df_count = readRDS('../input/bonemarrow_cov2500.rds')\n", "\n", "df_sample = read.table('../input/metadata.tsv',stringsAsFactors = FALSE)\n", "\n", "df_region = data.frame(do.call(rbind,strsplit(rownames(df_count),'_')),stringsAsFactors = FALSE)\n", "colnames(df_region) <- c(\"chr\", \"start\", \"end\")\n", "df_region$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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V1DZeWTX34hCKKTt7d59+5sxwEAAACQRz/mgZbQ1NTU1NRE3WA7C6hBY21t+YUL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OmzZtiEjrsm767W/S09OTpQ/dDMuSizHc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\nQmCC", "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_30528_31028 chr1_97671_98171 ...\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 0.1176192 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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gwhopCQEGVuBwC1j5muxtNpLa8nZn0SF3a3qGckYGH23IABA27fvn3u3Llix1ps\n2bJl48aNK1asKP1dX3p6+tOnT+vVq+fo6Pjdd98R0fDhwxXqdOnShYiioqLs7e2VD7uoyv+3\nOHTo0KRJk0QiEXN4/PjxVatWzZs3b/Xq1fJTdIiooKDg+vXrSoUJALWXJp/nZmXAYoOenp6r\nV6/evHnztGnTTExM5E+lpKTs37+fiEaMGFF6I76+vmKx2MvLS11dvUePHgrthIeHR0dH9+rV\ny8jIqAofq6WVcv/+fSYL9+zZc/369cuWLWvXrh3TYM+ePTMzM+UrC4VCZe5V1R4+fEhEM2bM\nUHUgAMCa+fPnE1GLFi0ePXokK3z27BnzTO3t7c2UbNy4kYi2bNkif21eXt6WLVv4fL6ent7L\nly+LbX/BggVEdPfu3Sr7BlKpVFrJJ+gNGzYUFBT88MMPsi7zlStXHjly5Ouvvw4JCXFzcwsO\nDq7mzhoAABkfH5+3b9/+/vvvzs7OTk5OzZo1S0pKioiIkEgkbm5uO3fulK+8ffv206dPE5FU\nKs3Ozo6Ojs7JydHW1j58+DAz0k5VKpmgb968qaurqzAJcvTo0U5OTv379w8NDR00aNClS5d0\ndHRKagEAoOqoq6vv27dv9OjRu3btevbs2ZUrV7S0tLp16zZ+/Hhvb281tf+Mj4iLi4uLi2M+\nCwQCCwuLXr16ff/997a2tqqI/V88aVnzHYuloaFhb2//7NmzoqdiYmJ69uyZmpo6YMCAP//8\nU0NDIyMjo379+kRUuXtVtbCwsPbt28+YMWP79u2qjgUA4F+VHGZXv379xMRE+WVVZT777LOL\nFy8aGhpeuHDB29u72DoAAFCmSiZoFxeX7OzsTZs2FXu2ZcuWQUFBAoHg8OHD48ePl430AACA\n8qtkgp47d66amtr8+fNHjx599OjRt2/fKlTo1q3biRMntLW1AwICXF1dlY4TAKDOqWSC7tat\n2/bt2/l8fmBgoIeHx61bt4rWGThw4MWLF01MTGJjY5ULEgCgLqr8VO9vvvkmPDz8u+++a9u2\nbbETCImoe/fuERERkyZNYtYcAQCA8lNqLQ57e3s/P79Hjx45OzuXVMfMzGzv3r1v3ry5cuWK\nrDAhIaHYh24AAJCppsWSDA0Ne/fuLTvcunUrOqYBAEqH1ewAADgKCRoAaq2wsLApU6bY29vr\n6OgYGBi4urr6+/vLT87w9fXlyVFTU9PV1bWxsZk8eXLRJUmzs7O///77Zs2aaeOuMMsAACAA\nSURBVGpqNm3adNasWRkZGVUaPxI0ANRChYWFP/74Y4cOHfbu3cvj8Xr27Ong4BAaGjp58uTh\nw4fL7wNLRNbW1j169OjRo4eLi4udnd2bN2/8/f3btWv3559/yurk5+f36dPHz8/P0tLyu+++\ns7Gx2b59e/fu3XNy2NnotnhVuhRTSZjFVVVy66Kwmh1A7cOs9ezo6BgaGiorfPXqFbOCs+zn\nvdjV7PLz89etW8fj8XR0dGJiYphCZpHSqVOnyqrNmjWLiLZu3Vp13wJP0ABQ20RFRfn4+JiZ\nmV27dq1Dhw6y8qZNmwYFBRkYGOzZs0e2FWxR6urqCxcuXLBgQU5OjmxJuAcPHhDR2LFjZdW8\nvb2J6PHjx1X1NdDFAQAq9/b9p217wtZvu/c04h0rDQYEBBQUFMyZM8fU1FThlJGRka+v75o1\na6Rlrd32448/6ujonDhxgukPMTIyIiL5jumYmBgiaty4MSsxF4uF3WUAACrt+Yv0LoMCMjLz\niGjRmut/7Bw65gsHJdu8cOECEQ0ePLjYs5MnTy5PI3p6ep06dbp27dqTJ0/at28/ZsyYTZs2\nLVy4kM/nd+zY8fHjx/PmzTM3N58+fbqS0ZYCT9AAoEprttxhsjNj/qpryreZlJRERHZ2dkq2\nw6zWz3SG2NnZhYSEGBkZTZkypXXr1uPHj9fU1Lxx44a5ubnyAZcECRoAVCn+Zab8Ycqbjzm5\n+Uq2mZmZqampqaGhoWQ7zBoVWVlZRJSRkbFkyZLk5OQ5c+bs27dvzpw56enp3bt3j46OVvIu\npUAXBwCoUmtHs7sPk2WHdjZGOgJlE6uxsXFqampubq5AIFCmnezsbCLS09MjosmTJ1+6dOnS\npUtubm7MWXd39549e44bN+7+/ftKBlwSPEEDgCqtXOBib2vMfDY00Nq1sb/ybVpZWRHR8+fP\niz2bmppadBJKsV68eEFElpaW2dnZJ0+e7NSpkyw7E5Grq6ubm1toaGhiYqLyMRcLCRoAVMnM\nROfptQmXjnmc+n1EXOjXPbs1U77NAQMGENG5c+eKPbtlyxZHR8eVK1eW3kh6evrTp0/r1avn\n6OiYlJQklUotLS0V6jALeZYyYk9JVZWg8/NL60Xy8vIKCAioolsDQM2iqcl362HpPtDWqL42\nKw16enpqampu3rw5LS1N4VRKSgoz5WTEiBGlN+Lr6ysWi0eNGqWurm5mZsbj8SIiIhTqREVF\nUVWOtGMzQSclJc2fP79ly5Y6OjqampoGBgadO3det25d0enq7dq1kx/vDQDAIisrq9mzZ3/4\n8KF79+7yE0nCw8OHDBny/v17b2/vli1blnS5WCz28/PbuHGjnp7e0qVLicjY2Lh3797h4eF7\n9+6VVTt69Oj169ddXFyaNm1aVd+ErSmJBw8e1NHRKfYWZmZmV69eZetGrMNUb4DaJz8/n5np\nR0ROTk6DBg1q1aoVn88nIjc3t0+fPjHVmKnesrU4unfv3rZtWyaVaWtr//XXX7IGY2JizMzM\niKh///7z588fMmQIj8czMTF5/vx51X0LdhL07du3+Xw+j8fz9PQ8f/58YmJiWlpaXFzcqVOn\nmLHi+vr6sintXIMEDVArFRYWnj9/fvjw4VZWVlpaWvr6+t27d//tt98kEomsDpOg5QkEAnt7\n+2+++aZoynr9+vXkyZPNzc3V1dUbNWo0YcKExMTEKv0K7CToQYMGEdHu3buLPbtkyRIiGj9+\nPCv3Yh0SNABwEzt90KGhoY6OjlOnTi327IoVK0xNTYODg1m5FwBAHcFOgs7NzS3lPSafz2/W\nrNmHDx9YuRcAQB3BToLu0KHD3bt3i45oYQiFwqioqFI2lgUAgKLYSdBr1qwRiUTu7u5v3rxR\nOJWVleXp6ZmXl7dq1SpW7gUAUEewsxbHs2fPRowYERgYaGNjM3To0LZt2xoYGOTk5ERGRp4+\nfTotLc3Ozu7o0aNHjx6Vv2rXrl2s3B0AoFbiSctatbpcrfB4lbiKlVsrLywsrH379jNmzNi+\nfbuqYwEA+Bc7T9Dr1q1jpR0AAJBhJ0EvXLiQlXYAAEAGq9kBQK0VFhY2ZcoUe3t7HR0dAwMD\nV1dXf3//wsJCWYUlS5bweDwej7dixYpiW/j222+ZCrGxsUyJr68v7780NDSMjY179ux56NAh\nduNnc8H++Pj458+fi0Qi+e9fUFAgEolev3598uTJKt3+FgBAprCwcOnSpevWrZNKpfb29j17\n9hQKhaGhobdu3Tp9+vSpU6fU1f+T/U6dOlU0R0ul0pMnTxbbvrW1dZMmTZjPEokkPT39+vXr\n169fj42NXbZsGWtfg5X5iGKxePTo0dVzL9ZhqjdA7bN8+XIicnR0DA0NlRW+evWqS5cu8j/v\nP/74IxE1bNiQiGJjYxUauX37Nv1/R5UXL14whczyHVu2bFGofOnSJWafrZSUFLa+BTtdHNu2\nbTty5AgR2dradu3alYgsLS27d+/+2WefMRU6dep09uxZVu4FAFC6qKgoHx8fMzOza9eudejQ\nQVbetGnToKAgAwODPXv2yK+y7+7uTkSnTp1SaOf48eP16tXr0aNHeW7q5uY2YsSI/Px8Fpe1\nYCdBM9nZ19c3Jibm5s2bhoaGNjY2169fj46ODgsLs7S0fPbsmY2NDSv3AoDaRvyRku/Q6+v0\niZ2tSQICAgoKCubMmWNqaqpwysjIyNfXd82aNVK5Yb69e/euX79+0QR98uTJoUOHamuXdxsB\nZqut9PR0JWL/D3YSdHR0tKGh4ezZs4lITU2tffv2t27dKigoICJnZ+fDhw/n5ORs2rSJlXsB\nQK2S854ebqa4IEq4SGE/07snyjd54cIFImLWOi5q8uTJP/zwg7m5uaxEQ0Nj6NChd+/elZ8L\nzWw2+OWXX5b/vuHh4cTqBiusLZZkYWHBLIZNRI6OjiKRiNkMhog6d+7s4OBw9epVVu4FALXK\nq2tUIPr3MP6C8k0mJSURkZ2dXfkvGTlypFQqPX36tKyE6d9gtjcsj4MHD/711196enr9+vWr\nULSlYGcUh5GRUVZWluyQ6c0IDw+XbSrTtGnT69evs3IvAKhVRP9d51KcRYX5pKahTJOZmZnM\n+7ryX9KvXz89Pb1Tp059/fXXTMmJEydK6d/Yvn27LJsXFBQkJCSkpKTweDw/Pz9DQ0NlgpfH\nzhO0s7NzQkKCbBSdvb09Ed29e1dWISEhQSAQsHIvAKhVdBv951BgomR2JiJjY2OxWJybm1v+\nS7S1tQcPHnzt2jVmD9VHjx7Fx8eX0r8RFxd3/f+YgSLDhw+/dOnSpEmTlAxeHjsJety4cUTU\nr18/Pz8/sVjcuXNnAwODX3/99cyZM2lpaatXr46JianQPzcAoK6w7EM6/3+Vp65Ntu7KN8m8\nrHv+/HmxZ1NTUyMjI4uWjxw5Mj8/PygoiIiOHz+up6dXSv+G/DA7sVickpJy+vTpvn37Kh+8\nPHYStIeHx5dffpmWljZnzpzCwkI9Pb3vvvsuLy/P3d3d1NSUGbb9/fffs3IvAKhVNPSo3bfU\nciI5jqWOP5ChlfJNMon13LlzxZ7dsmWLo6PjypUrFcoHDRokEAiYsRyl929UG3YStJqaWmBg\n4JEjRyZOnMh8pWXLls2dO5fp1tDR0Vm5cuWoUaNYuRcA1DY8PtW3IWMHUmenI9TT01NTU3Pz\n5s1FdxFJSUnZv38/EY0YMULhlK6ubv/+/S9cuPDgwYOYmJgKjd+oIqytxcHj8Tw8PPbu3csc\n8vl8X1/f9PT0+Pj49PR0Nuc+AgCUysrKavbs2R8+fOjevbv8ChPh4eFDhgx5//69t7e3bAiD\nvJEjR+bk5Hz77bel929UGzbX4ihKIBA0b968Sm8BAFCUj4/P27dvf//9d2dnZycnp2bNmiUl\nJUVEREgkEjc3t507dxZ71dChQzU1Ne/duzd69GgujGtg7Qn66tWr7u7uVlZWpqamJiVg614A\nAKVTV1fft2/f+fPnhw8fnpOTc+XKlZcvX3br1u233367cOGCjo5OsVcZGBj06dOHiLjQv0Fs\n7ahy6tQpZph36dVYuRfrsKMKAHATO10cq1atkkqlffv2XbZsWePGjTU1NVlpFgCgLmMnQUdG\nRmppaR07dozFKTQAAHUcOwnawMCgoKAA2RkAgEXsvCQcNmyYUCh89OgRK63VOM/Tc09ECd/l\nFKg6EACoVVjb1fvKlStjxow5evRosaMLa6uMPEnLX54lZYmZw342BkdGWNfXrtrBiwBQR7CT\nSkxNTU+cOOHi4tKqVSsLCwszMzM1tWKeze/du8fK7bggTyKdfi5h35M0+ZEpl2IzTTY+Xt6j\n8Qj7+vpa/GYGeFkKAJXHToJ+8OBB7969mbWjEhMTExMTWWmWm87HZnqfjkvLKSh2zGChVLo8\nJGl5SBIR1dPkG2jzNdV4Rrrq7RvqdmisN+wzQxMdPF8DQLmwkywWLFjw8eNHGxub6dOnW1lZ\naWlpsdIsB4W/yx10KLqclbPFkmyxhIjiM/IeJn/aFfauniY/xNveuZFuVcYIALUEOwn64cOH\nPB7v2rVrsn3Ia6uxp+KVuTxbLPn86IvAkTadm+ixFRIAKNi+ffusWbNKOmtgYMAs+sx97CRo\nPp9vampa67MzEb3KyFO2hUxxl98i/Yc3n9hacTtLAGCRpaWlhYVF0XI9vRrzeMROgnZ1dQ0K\nCkpMTCz2P0dtYqzLF+axMJxu8pmEj3mF33ZsoHxTAFCsSZMmLVmyRNVRKIWdcdA+Pj4CgcDL\ny0t+T9xaaVwrdpZ8khJ9dyHx77c5rLQGALUSO0/QYWFhEyZM2LFjR/PmzTt27Ni0aVNdXV0e\nj6dQbdeuXazcToWSs/NZa+vVhx833u7d0mzSKEd9AYZ2QN2V8/5DzKng/FyRZZ+upk621Xbf\nIUOGhIeHHzhwYMKECampqUOHDnVyclq2bNmePXsmT54sq5aYmNi8eXNPT88//vij2mJjsJMX\nJkyYwHwQiUQ3btwoqVotSNCPUj+x01BINIWnBBEFEc1ZHLx078hVA7FwNtRFH168DBwwOS8z\nm4hur945YNdK+y+qb6X8rKyszz//3NbW1tra2s7OzsvLa/ny5YcOHZJP0AcPHpRKpV5eXtUW\nlQxrMwlZaYf7ssWFlb7WykibT/Tig4iEnyg85d8T+ZLVE493vTpxQAtjFkKEuiHpfer8PT63\nwkMbGpm1srJLy8ho0cx6weiZhnr6qg6tYkI37WOyM+Pmip/ZStD+/v6XL18uWv7DDz8MHjyY\n+SwUCseNG/f777/Lzrq6ul6/fj0lJcXc3JwpOXjwYMOGDVnfELY82EnQCxcuZKUd7osTiip9\nbcdGuruHWPrdS/U/8PSVwjlJ4cJlVwcc48Qa4cBlT+Mjp25eEP06Nkecm19QQESv36c8iH5C\nRGfuku/x3cEbDvds3VXVYVZAZmKy/OGnN2kFuSJ1AQu7tb58+fLly5dFy8eOHSt/OHHiRPlD\nb2/vGzduBAYGMvtcP378ODIycs6cOXw+X/mQKoq1HVXqiHxJ5fccMBLwtXkUtPbqq7/Ci56N\neZg0fcGlDdvuhT5KVSJAqJ0S3ybN3bXSely3NtP6hUY/zszJZrKzggKJZNTq6dUfnjJMHf/T\n6VzfxoKV7ExEq1evlhZHvvuCiGxsbOQPv/zyS4FAcOjQIebw4MGDRKSS/g1i6wk6KCioPNWG\nDBnCyu1UiUdUqRTNIxrT0uT0+RcPHheff3M/iX/Z98/ulj26NL1y8is+X/EtK9RNCW9etf26\nf+an7LKrEr3PTEtJf2tuXGNGcHZeODXp9qMPL14SkZZBvT6bqvuf47q6/5nZW69ePXd398OH\nD7948cLa2vrw4cNOTk5t2rSp5qgY7CTooUOHlqcaN7e8Kr+gmIzKZWcikhL9/OCNycOk8lS+\nfvf1+FlnA3bW/N9nwIZfggLKmZ2JSFNdw9SgJr3M0DGpP+b6H8l3Hufn5Dbu0la7vur70L29\nvQ8fPnzs2DEXF5eUlJTZs2erKhJ2EnSPHj2KFn769CkpKenNmzdqamqTJk0yMjJi5V4q8e5T\n/lcn4kISy/tDoigzl+7EBQZ81C73JJfAM8+3r3cz0K+1q5pAORVICv64dKL89fu0c9FQr2Gj\nNvmaGs16dlR1FP/q27evubn5X3/9lZGRoaam5unpqapI2PmDDAkJKenUnTt3vvrqq5CQkNDQ\nUFbupRKtdoW//VTZEdAFEjrzlLJypUS55b4oP19S39Zv6dxuK+e7VPK+UMOlZwk91828Hf7g\nk6gCE5ruRTyuupDqCD6f7+npuXnz5uTk5N69ezdu3FhVkVT5S8KuXbsePHjwxYsXy5Ytq+p7\n5efnb9y40d7eXiAQ2NjY+Pj4FBT3IqWiVl5Prnx2JqI3WZRV/sz8L6mUVvnePhscV/lbQ40V\nl5rY4Ms2lx5er1B2JiLhxwzdIbbNvTr9duFQFcVWU/j7+/csQVhYWOnXent7FxYWvn79WlWv\nBxnV8U8hFxcXMzOzU6dObdu2rUpvNGnSpICAAFdX1yFDhty8eXPJkiXPnj07cuSIks3uevhO\nqeuV63m/dvvVYDdrpQKAGmjsulmSQknlrs3Jy335JnnSpvkzfl724WS4QIudQRE1TknD7IhI\nKBSWfq2Tk1OLFi0SExNHjBjBfmTlVk3D7CQSyfv376v0FsHBwQEBAV5eXjdu3PD19b17966H\nh0dgYOClS5eUbDlLXMmfk3800CdB5bdWMTESKHV3qJniUl4q34hILDIYbp+d81H5pmqWmTNn\nFjvAToaZdRIUFCSVSovd7TozMzMhIWHEiBGqXfquOhL03r1709PTraysqvQu27dvJ6IVK1Yw\nh2pqahs2bCCiPXv2KNNsbkFhbkHlZw8SEWmq09BWZFqvclfrCDSUujvUTA2M2FmNNl9S8NPR\nX1hpqk7ZsGGDSCSaMmWKasNgp4tj3rx5RQulUqlIJIqIiGBW5xg3bhwr9yrJzZs3LSws5H8N\nMIelvMAsj10P3inVRZEvoesxFPuOiIivRpIK5/on4W+VuD3UVL1adw1PKO/ePaW7+awGv5+v\nft27d09OTo6Pj+/du3f37t1VGww7CXrTpk2lV3B3d2fmTVaRDx8+CIVCZ2dnhfLmzZtfuXJF\nKBTWr1+/ci3vULID+nYcPVdqCVZTYx2lAoCaqWerLj+f3sdKU7ZNLFlpp44wMjJ6+PChm5tb\nQECAqmNhKUH/+OOPxbeurm5iYtKlS5d27dqxcqOSpKenE1HRviQDAwMiyszMrHSCzhQpNw4k\nMV2Zq7U01aZ4tVYqAKiZ+ji78tX4lX5PKMNX46+dWFeWymHF6dOnVR3Cv9hJ0GvWrGGlnUrL\nz88noqKb1TIlItF/VjhKTEy0tLQsZ8utGupeTcisZFhpH5UcwqGlpW7TvJK/WqBGM9CtpyvQ\nySr3BMKSnF93oGZNLAR5NWzGUUkEAgERicVihfK8vDwqMtdeW1tbfuXArKysUibRHBlpbb75\ncUFhpfJszDv6+N89DM0NKaUCu1VmZYuzssX69So/CARqqKT3qR9zlV183K6Jbd+2Ku5FBWXU\nkgTN9GBkZio+6jIlTEeHTIMGDYKDg2WHYWFh7du3L6llUx31jAXtGm9+nJlX8X9sCuV+wAy0\nqU0zEmhWKEET0ZFTkVPHqWahFlChU7cvFBYqNXyoX/uegT/uLLqxEdQgtSRBGxoampmZJSQk\nKJQnJCSYm5vr6yu1/Iquhto17xa9D0RliBRztIEWXz5xtzTTefbu//O+EtPpZTqpEXWxJgdz\n0uBTfgEde1TRu8cn1oz94YFdGR+zKn2tOl/9r1X7BnTsxWI8oBK1Zz1oFxeX2NjY5OR/F/9+\n9epVfHx8164sLF7etqFO2g/OPr2bCNT/eR5RI5rbpWHGgnZrezdt1UCnY2O9gM+tzo357J8L\nniVT0N8klVLrZtS2GWmpkxqPtDSoW4XnBHbv0lT5+KEGqvzbi6u+gXU8O+/du5fH48lmRcjL\nyMjg8XhOTk7yhefOnXN3d2/YsKGmpmbDhg0HDx587NixYlsOCwubMmWKvb29jo6OgYGBq6ur\nv7+/kv/WKUUteYImIm9v75MnTy5evHj//v08Hk8qlS5atIiIpk2bxkr7fB5vsYv5Yhfz6HRR\ncpa4dUMdY4E6ES1yabTIpZGs2mBbw7MvMujDp39+viz/+36mmVGFRkPzeDSoL+Z510UGupWc\n2dTWxqmTveJ4UyjFggULfvrpJx6PZ2tra2tr++7duwsXLpw7d27MmDEBAQGyPqLCwsKlS5eu\nW7dOKpXa29v37NlTKBSGhobeunXr9OnTp06dUq+CRQRrT4IeNmzY8OHDDxw4EBcX5+LicvPm\nzTt37owdO5b1ncTsjLXtjEtc3CDwC5tNd1OPfPwU9SyZiEjy316RQilJK/DLVk0NHYh1lFu7\nCr/cMzduOKrHkMWeszTVMfu0vB49evTTTz9ZW1ufOXPG0dGRKYyMjBw5cuTBgwcHDBgg2x9r\n1apVa9eudXR03LdvX4cOHZjC169fe3h4BAUFzZ49m5nMzK7a08VBRIGBgUuXLk1OTvbz80tL\nS1u7dq2/v381x6Crobase+PIn3p9N6UdT42nOEsl+g1V5B9DjcxUuQ4AqFCLZraz3CeUv/6Q\nzm7JRx5u+WYFBtVVyIULF4hoxYoVsuxMRA4ODr/++iv9f78rIoqKivLx8TEzM7t27ZosOxNR\n06ZNg4KCDAwM9uzZk5rK/mZ1tecJmoi0tLRWrVq1atUqVQdCROTn0/fh07e3Q5OIp0ZO5qTO\np4T3FKa4W2zpsKlKXbZtxmqPnsOW7tt47emd0mvWr2f42zzf6omqKrwVvg8M+SsnL3dgx16t\nrRyqP4Cii9t17dp1w4YNsqUjAgICCgoK5syZY2qquEaKkZGRr6+vUCisih2jalWC5hp7W6Pb\noUkU/YaiKzzb29RE56+AkZ3amVdFYFBTdHPscNX36KoAv+UHSsi/POrm0GHT18tq7oPz89ex\nXb4dxoxaWeS/7o+FP4/p83m13X3o0KFLly5dvHixSCQaM2aMufk/P3F8Pn/+/PmyasyD9uDB\ng4ttRGEXWhbxavo+gcpjxkHPmDGD9S6kxKSszzr9Ks6v8ABqNR5PlDRPQ6NWdUCBMiITX7Se\n1q9AorhxREMjs9TACo/d5JSx62cdvHJKdmhu3CD5SBmr6Zdp7969U6ZMsbCwKDpnuKCg4Pbt\n246OjuHh4UzJnj17Zs2axUxqc3R07NGjR9++ffv16yc/wc3MzOz9+/disVhDo1r79/EEXYUs\nmujv3TJw3MxybXkur1AqFWaKzEywTBL8w8HC9qzP/gGLxio8US0bV4VrkFWP+NT/9PulpL/N\nycvV0WJhGfTExMTExMQyq02ZMqV379579uz5888/IyIiIiIidu7cWa9evcWLF8+fP19NTY2I\nMjMzNTU1qzk7Uy17SchBXqMctbX5Fb3KvIEesjMo6Neux+uDD77sMVhfT0+Dr15fz2D95EXf\nDFblhkysUOh0tmtqzUp2JqLly5cXXaq/2L1UrK2t169fHxkZmZKScvDgwTFjxuTl5S1atGjO\nnDlMBWNjY7FYnJtbmb3rlIEEXeX+CviiQvU1NdRO/l59fXBQgzQ2bXh0ye7MU8/FF15+OBWx\nwGOGqiNiwUrvufZNbZjPhnr6u75bX80B5OT8u+tjo0aNPD09//jjj6dPnxobG2/fvp0Zm8G8\nLXz+/HmxLaSmpkZGRlZFbEjQVa5vD8srJ0aXc0Szo51J4uPpnZzxbhDqCjNDk6e/Bl9af+jU\nir1xB+70bN2l2m6dl5cnEAi6detW9JS9vb2Hh4dEImGS8oABA4jo3LlzxbazZcsWR0fHlStX\nsh4hEnR16O1qEXNv6tB+Nnq6miXl6RafGV8+MTr85qSGZrolVAGonTTVNdzadXfvNsCoXjHb\nA1YdLS0ta2vrp0+fPnpUzIvWV69eEZGZmRkReXp6ampqbt68OS0tTaFaSkrK/v37iagqtpdF\ngq4m1paGf/4xMjvh+4y42cUu8Xz15Fd9XC2qPzCAumzu3LlSqXTo0KGnTp0qKPhndw6RSOTj\n43P27FlnZ2dmAouVldXs2bM/fPjQvXv3x48fyy4PDw8fMmTI+/fvvb29W7ZsyXp4GMVR3fTr\nacXcm3r3YbLn138lvv5nfdT5MzvhwRmg+k2YMOHp06dbt24dMWKEoaGhlZVVYWFhdHR0bm5u\no0aNDh8+LKvp4+Pz9u3b33//3dnZ2cnJqVmzZklJSRERERKJxM3NbefOnVURHhK0CvB41LVD\n46jbkw+fjExO/ejSqUkvl2aqDgqgjvLz8xs2bJi/v/+dO3eioqLU1NRsbGzc3d3nzJkjv4ue\nurr6vn37Ro8evWvXrmfPnl25ckVLS6tbt27jx4/39vZmRuOxDhNVqnCiCgCAMtAHDQDAUUjQ\nAAAchQQNAMBRSNAAAByFBA0AwFFI0AAAHIUEDQDAUUjQAAAchQQNALXN+vXreTxe165dCwsV\nN2kuKCjg8Xjt27dnDhcuXMjj8f744w+FaomJic2aNePxeAsWLKiOiEuABA0AtdPdu3crt0RG\nSkpKnz59Xr9+PXfu3A0bNrAeWPkhQQNArbV48eKkpKQKXfL+/fu+ffvGxcXNnj3b11fFe6Uj\nQQNA7dS2bdvs7Ozp06eX/5KMjIx+/fpFRUXNnDlzy5YtVRdbOSFBA4CKZbzLOvPL1aObL8Q/\nq9jTbum+//77li1b/vXXX0ePHi1P/Y8fPw4YMODJkyfTp0//+eefWYyk0pCgAUCVXse8meK8\nbPf8I/uXn5zZddW1wPtstayhobF37141NbVvv/222L1i5eXm5g4ZMuT+/fvTpk3jzsKWSNAA\noEpHfjr7KfPfbVt/W3qCxcY7duw4a9ast2/fzps3r5RqYrH4888/v37969nPbAAAFARJREFU\nOhH17duXxyvXDqLVAAkaAFTpTcJ7+cP01Iy8HDGL7a9Zs6ZZs2a//fbbtWvXSqqzePHiixcv\nDhgwgMfjff311ykpKSwGoAwkaABQpeYtm8ofNrFtqKWjyWL7enp6v/zyCxFNnTpVJBIVW+ft\n27fjx48/d+7crFmz0tPTJ0yYwJGdTJCgAUCVxv44rOlnDZnPugY6M7eOYf0WgwYN+uqrr2Jj\nY1euXFlshVGjRvn7+/N4vHXr1tna2l66dGnbtm2sh1EJ2JMQAFTJ0LTejrvLnt2KEeWInbrZ\n1qtfJbsn+/n5Xbx40dfX94svvih6dujQocymgjo6Ovv27evevfvChQvd3NwcHByqIpjywxM0\nAKiYuqZ6294OXYa0qaLsTERmZmabNm0qKCiYMmVK6TW7des2e/ZskUg0ZswYsZjN3vBKQIIG\ngDph/Pjxffv2ffz4cZk116xZY2dn9+TJkyVLllRDYKVAggaAumLXrl0CgaDMagKBYP/+/Wpq\naps2bQoJCan6uEqEBA0AdYW1tfWKFSvKU7Nz585z584tLCz09vbOyMio4rhKxOPIaBIVCgsL\na9++/YwZM7gzfQgAgPAEDQDAWUjQAAAchQQNAMBRSNAAAByFBA0AwFFI0AAAHIUEDQDAUUjQ\nAAAchQQNAMBRSNAAAByFBA0AwFFI0AAAHIUEDQDAUUjQAAAchQQNAMBRSNAAAByFBA0AwFFI\n0AAAHIUEDQDAUUjQAAAchQQNAMBRSNAAAByFBA0AwFFI0AAAHIUEDQDAUUjQAAAchQQNAMBR\nSNAAAByFBA0AwFFI0AAAHIUEDQDAUUjQAAAchQQNAMBRSNAAAByFBA0AwFFI0AAAHIUEDQDA\nUeqqDgAAKkIkpOijlPOe1DRJU4/4WmTcgsw7Ew8PW7UQEjRAzZH/kR5sJqmEiIhyKC+DiCgj\njlIfkFkratSBNPRUGh+wDL91AThPkkcfk0mcTQnB/8/O/5Xzll4G08NtJM6q9uCgCuEJGoDb\n3j2lmONUKCEiUiv1Bzb/Iz38mQwtyGoQaRtVT3RQpZCgAThMnE3PA/89LCwoo37BJ0qLpLRI\nshpETVyqNDSoBujiAOCw2NOVvDDhAok+sBoKqAASNACHZcSVeEpa6oXSQspOYjsaqG5I0AAc\nJim5T4NX5rV5rIYCKoAEDVBLvftb1RGAspCgAThMXbPy12bEoxu6pkOCBuAw07b/fi6m07mM\nfmh66PfPZBaomZCgATisvu2/n4vpdC6rH7qwgFJDWQ0IqhUSNACHVaiPotjn6ayX7EQCqoAE\nDcBhoop0UBT7PI3VOWoyJGgArspMoNS7yjZi3pWNUEA1kKABOEkipvA//lmCo9IEJmRgwVJA\noAJYi4NNBfmSP3devXP2cb6owKihfpehbd3GdOWplTmjAKCIjykkyVWqBYExtZ1ejgktwF1I\n0MqKf5b0166r75I+JEamfHjznx7D++f/3rf05L7Itdo6WqoKD2qqghxlrk6leo06zGUrFlAV\nJOjKS417d3D9XyHHQgslJQ5HzUzPHme3YPfDVfUb6FdnbFDj8ZX6pd6oxWC2AgEVQh90JR1a\n/9dk56VXj9wvJTszPmbkLHH3q56ooPbQVO43uk4DluIAVUKCrozYx6/+8PlLWlhGapZJCE9a\nNXqHKAeL10C56ZiQVmVHyOmaky4SdG2ABF0ZO+Ydqugl984+XTR4s6SgsCrigdqIRw5e5a78\n32cFi54sxwIqggRdYY+vRkWHxlfiwuiHCWf3hrAdDtRe5e3lkP5nqIaGzn8miENNViMTdFpa\nmomJia+vr0J5fn7+xo0b7e3tBQKBjY2Nj49PQUFZWwRVnO+U30o6VWaXx56FR7PSP7IbD9Ra\nmvWIV55BckwdKRGRpgG1naHkC0bgjpqXoEUi0RdffJGenl701KRJk+bPn29mZjZjxgxjY+Ml\nS5aMHTuW9QAy0zJLOlX2EuqSwhsnHrAbD9RaPDWq16z8tam+DXVeQNr1qzAkqF41LEGnpqb2\n7t37+vXrRU8FBwcHBAR4eXnduHHD19f37t27Hh4egYGBly5dYjEAaaG08J9u5PK+IVRw3I/N\neKCWcxpH+sXl6KJ/+0wcyYH9xxFQrZqUoHfv3u3g4HDv3r2+ffsWPbt9+3YiWrFiBXOopqa2\nYcMGItqzZw+LMaTEv/v/x0pO0Hr3Oj3u6Su24oFaTl1Abb4mJ2/SNvx/EU/2f//ga1C72eQw\nhvhKrO4PnFSTJqr8/PPPpqamx48fz87Ovnz5ssLZmzdvWlhYWFlZyUqYw5CQEBZj0NTWUL6R\np9ejrVuX/5+uUOcZ2VHH+VQgInVtIqLMBIo+SnlZJJWSwIhshpOumapDhCpRk56gN2/eHBER\n0adPn6KnPnz4IBQKbWxsFMqbN2+elpYmFArZisG4kWHZlcryMPjvvByx8u1A3cJkZyIyaE4d\nF5CrD7msog7zMGajFqtJT9D9+vUr6RTzztDQUDF7GhgYEFFmZmb9+v++OUlOTu7evbvsMC+v\nAvNHeGo8Il6lO6AZT0KiN329b/GBaco0AkBqNennFyqhlvwB5+fnE5GWluLoIqZEJBLJFxYW\nFso/U0skFVjRkcfj1W+oL3xT4kCOcrp9Okz4NgsLdABAKWpSF0cpBAIBEYnFiv0GzNOxrq6u\nfGHTpk0/yLl69WqF7rU7dCVfg69cvCSV0t6lx5RsBABqN84l6KCgIKf/Kpp2i2J6MDIzFR9s\nmRKmo4MtevV1/J+sEehpl121VC8evWQjHACotTjXxZGRkRERESFfUlhY9voVhoaGZmZmCQkJ\nCuUJCQnm5ub6+iz3JJg1M955f/mMzqtysnNJcaZteeXlKLdZBgDUdpx7gh47dqz0v7S1y/Ws\n6uLiEhsbm5ycLCt59epVfHx8165Vsidbg2bG/ce7MJ/LzM7FvlJ8/zrtSUgUu1EBQG3CuQRd\nad7e3kS0ePFiqVRKRFKpdNGiRUQ0bVpVDZaYsHJEi45WZdcrOYOf9S9mSiQAAINzXRyVNmzY\nsOHDhx84cCAuLs7FxeXmzZt37twZO3ZssdMOWaGuwd90ZeEY63nCd1mVbEKq1HA9AKjdas8T\nNBEFBgYuXbo0OTnZz88vLS1t7dq1/v7+VX3TjLTs8lQrNhMPGN+D3WAAoDapkU/Q7u7u0uKe\nPbW0tFatWrVq1apqjabkfVXkXx4W7eVo06tFu74OVRQUANQCNTJBc4qWjqbo//O2FYZzlNT1\nrKautvHivBYdFSemAwDIq1VdHCoxa9u/+xKVZ7CdiXl9v2uLkZ0BoEx4glZWL49ODS1N/vr1\n2vVjD4rtePkHj1p3tx+/8nPrVs3UlZ6ICAB1ARI0C1p0smb+98vcw7JCPp+noaXxWfvmk9aM\nbGLbUE1NTUsHy/UCQAUgQbNm6NReFi3MD284m58nHvZ1n+4jO6g6IgCo2ZCg2dTK1a6Vq52q\nowCAWgIvCQEAOAoJGgCAo5CgAQA4CgkaAICjkKABADgKCRoAgKOQoAEAOAoJGgCAo5CgAQA4\nCgkaAICjkKABADiKV9oKmXXD4cOHPT09tbS0dHR0VB0LQHULDQ21scHq5ByFxZJIIBBoaGjo\n6Ojk5OSIxeLmzZurOiJuSUlJEYlEVlbl2r+87khNTc3NzbW0tFRTq9n/DK3p8ddueIL+l7Oz\nc2RkpEgkUnUg3NKtW7c7d+5IJBL8JMtzc3O7fPlydna2np6eqmOBWgs/cgAAHIUEDQDAUUjQ\nAAAchZeE/2rRooW2traqo+AcOzu7vLw8VUfBOba2tkKhEP3yUKXwkhAAgKPw+x8AgKOQoAEA\nOAoJGgCAo5CgAQA4Cgn6H2lpaSYmJr6+vgrl+fn5GzdutLe3FwgENjY2Pj4+BQUFKomw+tXl\n714U/oZA9UOCJiISiURffPFFenp60VOTJk2aP3++mZnZjBkzjI2NlyxZMnbs2OqPUCXq8ndX\ngL8hoBrSOi8lJaVLly7Mf42NGzfKn7p06RIReXl5MYcSicTDw4OILl68qIpIq1Vd/u4K8DcE\nVKWuJ+hdu3YZGhryeLy+ffsW/fEbNmwYEcXFxclKXr58SURffPFFtUda3eryd5eHvyGgQnV9\nJuHPP/9samp6/Pjx7Ozsy5cvK5y9efOmhYWF/EqbzGFISEi1RqkKdfm7y8PfEFChut4HvXnz\n5oiIiD59+hQ99eHDB6FQWHQt8+bNm6elpQmFwmoJUDXq8ndXgL8hoEJ1PUH369dPQ0Oj2FPM\nGyFDQ0OFcgMDAyLKzMys6thUqC5/dwX4GwIqVNcTdCny8/OJSEtLS6GcKand6/rX5e9efviv\nBFUNCbpEAoGAiMRisUI5s7Sbrq7u/9q725Cm2jAO4Nd50rkSdaWuKUokhSkGabUtneSoL4Fm\nb5CCZEkmRlFQkMqyggqhiOwNA40oEJ0RRlpkKGEvIrpmwUmK6UgbLRllaVtU23k+nAefw3zo\n2Xzb0f1/nzyX97l33efDn7NzzjYf9DRT/HntnsNRgunmFzcJm5qaSkpKhJWXL19KJJI/77Vw\n4UL6rzeqfIV/GztX+fPaPYejBNPNLwJ6eHiYZVlhxeVy/e9eMplMLpebzWa3utlsjo6ODg0N\nncoWRcaf1+45HCWYbn5xiSMvL8/t6UIPv5hfo9GYTCaLxTJWGRgY6O/vT01NnbZmxcKf1+45\nHCWYVn4R0BOWn59PRGVlZRzHERHHcaWlpURUVFTk486mnz+v3XM4SjCt/OISx4Rt3rw5Ozv7\n1q1bfX19Go3m6dOnL168yMvL4z9UNrf589o9h6ME0wpn0P+jvr7++PHjFovl4sWLNpvt7Nmz\nNTU1vm5qhvjz2j2HowTTB79JCAAgUjiDBgAQKQQ0AIBIIaABAEQKAQ0AIFIIaAAAkUJAAwCI\nFAIaAECkENAAACKFgAYAECkENACASCGgAQBECgENACBSCGgAAJFCQAMAiBQCGvzF6OhobGzs\nli1bfN0IgKcQ0OAXOI4rKir68OGDrxsB8AICGuY+p9NZXFxcW1vr60YAvIPfJIQ5bnBwcM+e\nPa2trb5uBMBrOIOGuezhw4cJCQmtra1xcXFlZWW+bgfAOwhoICLS6XQMwxw9etStnpGRwTBM\nU1MTv1lRUcEwzM2bN1mW3bp166JFi8LCwjZu3GgwGIjIZrMVFhYqFAqpVJqSktLY2CiciuM4\nvV6fmZmpUCgkEolMJlOr1ZWVlb9//x4bw89fVVX1/PlzrVYbEhIil8szMzM7Ojomti6WZR0O\nx759+3p6ehISEiY2CYCvIKDBa93d3SqV6t69ewEBASMjI62trVqt1mg0KpXK6urqnz9/chxn\nNBq3bdvW1tbG78JxXE5Ozs6dO5ubm+fPn5+YmMgwTGdn5+HDh/Pz893mf/LkiVarNRgMqamp\nkZGRzc3N6enpE7uCrFarX716df369ZCQkMkuG2DGIaDBa1evXl21alVfX9/Q0NDAwMCyZctG\nRkbS0tKCgoIMBsPnz58/ffq0YcMGjuMuXbrE76LX6/V6fXh4eFdXl9ls7unpsdls58+fJ6La\n2lqz2Sycv76+XqlU9vf3P3r0iGXZa9euOZ3OwsJCi8XibasajSYpKWlKVg0w8xDQ4DWpVHrn\nzp2lS5cSUUxMzP79+4nI4XDo9fqUlBQikslk5eXlRPT69Wt+l8ePHzMMo9Pp1qxZw1fmzZt3\n5MiR5cuXE1Fvb69w/uDg4IaGhoiICH6zuLg4NzfXbrdfvnx5hlYIIA4IaPCaUqlUKBRjm3Fx\ncUS0ZMmSlStXjhVjYmKIaGRkhN+srq622+18lI9xuVyRkZFE9OPHD2E9KysrKipKWNm1axcR\nPXjwYGoXAiByeMwOvBYbGyvcDAoKIiK5XC4sSiQSIuI4bqwilUpHR0fb29vfvn1rMplYlu3u\n7v7y5QsRuVwu4b7Jyclur5iYmEhEJpNpKpcBIHoIaPBacHDw+OJff/3p3ZjL5Tpz5syFCxeG\nh4f5ilQqTUtLM5lM79+/dxscFhb2n6/ocDh+/foVGBg48dYBZhUENPxLeMLL+/79+/hhDMN4\nO3NJScm5c+ckEsnBgwfVanVSUlJCQkJgYOD69evHB7TdbnerfP36lYhCQ0ORzuBXENBARBQQ\nEEDjrgUT0QQenBjP4XBcuXKFiPR6fXZ2tvBfVqt1/Pg3b964VfibjXiQGfwNbhICERH/yATL\nssJiR0fHx48fJz+51Wp1OBxEpNFohHWj0fju3TsiEn5WhYgaGxu/ffsmrNy4cYOI3MIdYM5D\nQAMR0bp164iovb29pqaGrzx79iw3N/fPV5Y9FBUVtWDBAiKqqqoaK3Z1dW3fvp3/2+3M3Waz\n5eTk8PcPnU7nyZMn79+/L5fLi4uLJ98MwCyCgAYiotWrV2dlZXEct3fv3oiIiMWLF6enp0sk\nkoKCgslPLpVKjx07RkQ6nW7FihWbNm1KSkpSKpVWq1WlUhHR4OCgcHx8fHxLS0tMTMzatWuj\no6NPnToVEhJSV1cnk8km3wzALIKAhn80NDScPn06Pj5+dHQ0MDDwwIEDnZ2d4eHhUzJ5eXl5\nXV2dSqUaGhpqa2uz2+0FBQVGo/HEiRNEdPfuXeHgjIyMlpaW5ORklmUDAgJ2795tMBi0Wu2U\ndAIwizDjb9wD+EpFRUVpaWlRUZHwYgiA38IZNACASCGgAQBECs9Bw2xiMBhu377tychDhw7x\nX+cEMHshoGE26e3trays9GTkjh07ENAw2+EmIQCASOEaNACASCGgAQBECgENACBSCGgAAJFC\nQAMAiBQCGgBApBDQAAAihYAGABApBDQAgEghoAEARAoBDQAgUghoAACR+htdlJTuAqtdgAAA\nAABJRU5ErkJggg==", "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 1.152292 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 2.575604 mins" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "end_time <- Sys.time()\n", "tol_time <- difftime(end_time, start_time, units = \"mins\")\n", "tol_time\n", "running_time <- c(running_time, chromVAR_kmer=tol_time)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "df_umap_chromVAR_motif <- run_umap(fm_chromVAR_motif)\n", "df_umap_chromVAR_kmer <- run_umap(fm_chromVAR_kmer)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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JkisLBg1Up9kZ4VCEt272BYaqHLbVEiALL2zrb2zjYEAE0IUg2oJoWlTCQR8b0r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", "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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7FiBdf54T6y2NjwJ54IHTMG2TMAAADA/amFJtDFxcW9e/f+8ssvO3bs+PLLL6ek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\ner0Oh+Mf//jHf//73/fee6+pqemXv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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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SdOnGCq27Bhg4uLC30HPZ1Yr9DMNKl9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"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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Uj3si4ANAtr/HXs9OnTCSGJiYkcxxFCOI576623CCGsU1Oj0cjl8srKSjppZ2cX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\n8IbgAADeEBwAwNv/A7p1H/5zLWYaAAAAAElFTkSuQmCC", "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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Vq06Nq1a+vWradNmyaVSoOCgjw8PFT/GRmBgAYANVi+fPnhw4e7dev25s2bf/75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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 0.8697936 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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PDjjz++fv36yJEj9vb2Gzdu1HYZvFBeXv7ZZ5/Nnj3bxcWF7VoAoF5UXSQ0MTHx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\nOYRj9ioAAAAASUVORK5CYII=", "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 7.686892 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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62srKZPn25ubr5kyZLRo0erv0IAAE7U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\nx4/HC/L+e23rL0uPcLj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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 0.0226549 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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X6YEfTKlStDQkJmzJixa9eupu7L9ybiaZyqc6OGy48LTek4wKueS77IH7NPfXyd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AgBye9q5zv/pueEQ/C+N/laveF/wVfCHo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y0tX7585cqVyi1Pnz4dPXr0zp07Fy5caGLy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\nTdujyonUo0WnQBsAoFqrSsgQzrf+TNdQuzsvCKFugAkadYvy9CZFYTk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dPXq021JkKyGRAYfDMTY2bj4WLisry8zMjGzTVZOBqm4kRDbY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\nI4QQSf0/vkqr7yEUr1EAAAAASUVORK5CYII=", "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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VQGBASkp6ezotFo/Pnnn9k0f92nzjDi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", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "p_elbow_GeneScoring <- elbow_plot(fm_GeneScoring,num_pcs = 30, title = 'PCA on Gene Scoring')\n", "p_elbow_GeneScoring" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [], "source": [ "fm_GeneScoring2 = run_pca(fm_GeneScoring,num_pcs = 10)" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [], "source": [ "df_umap_GeneScoring2 <- run_umap(fm_GeneScoring2)" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "image/png": 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5KLFbrdZzhMVyau99NVA4BvRoaiQFZsaw9yDai0AJAtZ0NSAbhZwX/dDloeR8dh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\nj58xY0ZKSsrmzZsb7DB16tQTJ04QBOHr69ujR48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3d3Z2fvTo0fr16+Pj4y9cuCD+IpsWFxdHp9MdHG7n2vUAAAm3SURBVByEG62srCRV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\nAAAASUVORK5CYII=", "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: 2.3968316631238\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 9.376174 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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V62w7ugmM2jD9YeB0Yzc8vGrx74RVNC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\nLDFLkwX3TtDwfes3vMI9ZJ+9nnn8kkv3KOcu7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WTFRtZ6KiWpDK318pNLDK11CaQvFJp5/zBR8TDmUaL4xAxEofwdgiBaBhptxnWG6Rt+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\nYII=", "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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NHk7tmjOH+eiNyGDu347LMia4vbyQBNZHH/p11cXLy8vLKyskzqWVlZvr6+Tk5O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\n8xUcAAAAAElFTkSuQmCC", "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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h4cTQDZRVIAAOSLfg8RwYnlObCAnP+/Ia3aNmY6f4RQi4QJuqHm9m6lumwKCUAS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\nw4sqAFyHgOYw5QUdy8ZuSTecMp8oL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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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FKp1MXFhR2tyyIAUH+iC44ffviBEBIV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\n8IbgAADe/h9sKydER/VbmQAAAABJRU5ErkJggg==", "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 0.05553091 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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1r11j0YfubIhrPM1gPcgYAGYNnuZX/J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\njXw7qz5gUEfpTs96fJ1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sgBKysrq9at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\nAElFTkSuQmCC", "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 0.1649682 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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88dvnBkeHihs+OWlZfXWdT2lCJvT8k5vvEj6Och44yMkdGqGksmzL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6OeTouevkw9fs6vT2uUJynZWfUeSICcxC/yCDX3CDW/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CL9/f2/1JXIJ0A/e/asvbdev349a9asZ8+e\nxcXFtTfmuwWNRf96NHD33H/pVAYA6JppSjVz01oZq0f/VZ5XDQCxd5Ni7yYdfLZeqC7N4/K2\nzzwibCjHKGCcRljbupr7/OiFxnRhQcPW1fxo7OY3d5O2+h0R7rQbYv6Zp898TI2UM14tevaq\nmMXmeg41JCsp2HN4zjrExApBQYWnAZFtoPSyXGKu+viD5tGvG580f3jwr25lz4wsYqBQAFDQ\nwIgra7212sNusr2mAnLmYF3xMn0nbYKTNsHkUJJEdAaAl5LNIGIwmGwqjUXGKLxNqmxNrlDF\nIuuZXDDVAFUS1Ium/EwWZ+P9AgpDtNiz60X52mE6OFmWjHyoNNaMRbfuPMoDAFsr9QmjOirI\n+W3poJVLXJqaGZ8i7d9HO6BQKH9//3379pWVlXl5eenpfbGezB6vnRw6dGhISIi7u/umTZsO\nHTrU0x/X63AZ2+/k++0pL7MJijinEbZSvlYJD1L40ZlPUXrZ++iMQeMEfcClOZXich8sBst6\nkNmM38Z/2pUMntB/9ckFYQceNNW19B9uvWjnF7OdJ+AxE0aJ3EYUUIiX823Ovq/NrqM7aRNm\n91NDz7czHBtSoq4EeDSUNkBSqZqqoFUvI1tslcxQhSG28l7dyhp6OpWHQADA0mtZb391tjAS\n3YHqaWyBdqgQDhdo0kleIYOcdMlKCtv3vt701wsAAJKCzhjrQSNMCSuHXtnyCLiibN6bgiYQ\nu9WxuLyKFpaJcrv1cNuCX/OjMwCkZ9XOX3739d057Q0GABQK0RedZdJemR0A7N27d8CAAR0c\nGxgYGBwcXFJSsmPHjp65uo/icxS3u7m5aWpq3rx5sy9Ay0RNR9lzuuznu6Z66TrcRlGyGJop\n0u+23dMlvGa6es3sARvTboNHI5cOFGVXEytaK90sBA0ehmqgRlo2SdA2aWWu+i7lQx6/TS8r\n78OeZlXSpB0vM06KnldU8GhlHKqBLtYWiEKCEh6aaNAGNBo518++oqpFEJ0BoIVREZ401lUr\nMNA+fMcTceE6bmmDeIBWw6Mjb6SlZ9Zamasuntu/bVLiRWyJ+Gbcu3I6g43rtY6UX5D2yuwA\ngEJpt0Gfj729vY2NTVFR0ZQpU+R/ZR/NZyqz43A4NTVtxGr76Az7oRKpZCwOYyeWXDbpZ6Ck\nJlFC6+T5Wdv/PgM8HuQVNuQWULhic9JT72pYYuvNCCutSZMFNjR7t3oJQ55yM5WEafcvPJPC\nevy8UHQSgJ1eom5pZRxqnDkZRtuArFwEm839fUtUTEK51P70rFoCHuMk5ZmSXSm+RXyTt3zd\no+Pn3/268Ym7T0hbDVIpT3GykoICti86d41ly5bJLLATwu86iYyM5PF4Mt2uGxsbCwoKpkyZ\n8mWl7z7HL/7UqVN1dXU2Nt9a7PgMGNnqLf8n4OS667QWOpFM+Onvmbqmookknqiw/uKSvUvO\n1pTUY3GYmX94Dxxj/wWvVu5U1bT6zg2PfVsOAM4O2iOGGeYWUMxNVSosJfxkeQAx7yurCijG\nBmTPYYaZrxfde5KPwaAmjTNPbWL/9rA4vYZmoY5LrpTowAZK64+rH+TGiSzElg7UdNIm3M9t\nVFJAze6npk3CFHubFP468M2T3OqqlpZW5vHz74WDqTQWpUG6htrWSh0AVi4eODPhP9FeO1EG\nE1veUPxcZOKemFx193HeDxMk5I1WLnGJuCdakPztp0HflklD7+Cvv/6i0+lBQUFf9jLkE6BX\nr17ddiePx6PT6WlpaXx1jrlzu1ze2wcAjJvnPsp/SE0ZRUNfte3Sn4O71bm03XXlDcoaimgs\nGgBYDPa9s89z3hVpGapN+tFLaordu1i16Sk/OgNAYnJlYrJgKqo61AScjYXDVFNKvA9H8V+P\n8zKNDJm2eK6ganW4CiQECTy5p59OCSv7kK+obYGMyjw2p6WVSSJiuVxeYUkjAoFwNSAPEevr\nMyRjDclYD0sXADhzOVk8QAOAqZHyjnUeG/a8ADs90CVrK2Ldx1kCgJ+vDYmIPR+ayuFwp3hb\nJSqS9r2pBAAiBjnLTPGU5M8odH4RMnyoQdyDuadCkmk0ls9Y82k+vdLKvffi4eFRVlaWn5/v\n5eXl4fEpMu5yRD6u3p36MPn6+l69evWLWGF9WVfv7tBY23zv7Iv6ykabQaae0wchPqKFl8fl\nbZxyMPGJoDJM01Dt8KuNpF5rBG7kfIxfbycNAsb8b1RUE5fF5VlhEFn7n4q/GXLMx3+qrYyj\nAIYs/C+2rBVaGJBXAxwuAoHYvcEjYLr9D/PC4xIrAGCoi97N81Okkgx86in0/iPOCOOps4NW\nzN0ALBY1/mza/RJB6l8Ri0pcbGeuKr1kV9bMLGpg2mniywopdu6nxd+KezDXxalrylZ99Ci+\nvr4PHz50c3O7ePGiltZnsq1oD/nMoP/3v//JPjsara6uPmTIkI4XTPtoS0NN87Kh2/j91pH/\nRr1/lvnrscBOj8pLLhFGZwCoLq6LDov3XiSjSv3rIZ/COPWuponBGWtG9rGUyAZqaRBlB2ge\njADWf+sGN9LZCTHFUm67KRntrnZc3OA+eOzF+gbBPJrH463dHv3f/Rx+dAaA1/Fl42dei7o5\nS0lRejKhqoKLuRuw5/CbvMIGR3vN1UsHYbGoqlaWMDoDQDOTc+pdzZ8jpZU/9RSxeopYACBb\nqe/d6rVuZzSTycFgkJtXuwmjc3UtddnaR3cf5xHwmJ/mO2353a0vs/FFiIiI+NKXIEI+AfrL\nVqJ8kzw4/0JcDePRpVcBGyap63XSNEypkhbQqK/8qr3X0mpog0+ltbK4AHAkvmqbp764DtHq\npYP8gm7JPHDznpfnQ1N3rvdwsJW23cvMqTdzOcHhcKdMtNq53uPY2Xc79r9uaWXq6yieOTTh\nwhHvibPDxMe/SZRYxEtMrho4+nzCo8C2MVpfV1HYPcinplXKegqq2+yRYtVPLnOm2126nvY6\nviwtq/a/+7l8n5cFK+7yq+taqaxtwa801QnCVpo+vlv6Voe/UuoqpENtbTml0wBt4WSExWOE\n5lsAYDdEhvx5RUFNWkwuEokYPN7h0/Tz5MW+mEp+dObz56vydW466A/JnBmTrTXUCFdupvN4\noKNFPHImsZ5CRyCAxwMmk5OZUzf7x9vPbvkHBfQ/eVGgIWekT464J9CG3n88PiO79v7TAv5m\nQXHjyClXdbWlk/Livul8cvIpBy4m/TzfWQ0v/Q+SVUd/X0k1VVFw0SUCgJU6TpuEqWwRfeGe\nxp37hD2OLvxtsyAtcyU8/UTw2Ll+9g+fFYiPibib0xeg++gL0F8p1i4mkf9GCTfxJFynAs20\nVkZU6Bu7IRZpr3OYdBYKjZy6YqzzSOlsbNiBB+e23ORyuACAQiGD/pwx6UcvuV//R1IuKfdD\nZXEpdI6ocxpghJvhCDeBPP+GX4de/y9rztLbwnfpDPYw74scDs9AT6n/EKMkNKb0qURDdtTL\nYvFNLpcntSinpIhtapbRjbL5RvaWGt4CZ80TE41RH3INO1+Ub4gSqIDOtFO7PNWsupWlhkfz\nAzQCYJGzRoCDOgAklLcWNTKctImmKjLWXUTV0/9n7zoDmsi66E0nIUAIvfcOAiKIBQuiYsGu\n2Nbe1tW1l7Wsuvbee+997ajYu6D03tDFwDIAACAASURBVAk9JJAESG/fjwmpgO5+ursq51dm\n8mbyQDnzct+55wAAwO6jCRNHtcGg0WJQPSoIhH/B3LIV/zW0EvR/FN1HtE95nv3o/FsA0Dck\nzj04nqjj86AOIU80r9uGkmxFLdWrvfPKizMpZtq+M/SSmhMrrysPpVLZoUWXArt7aSWwsBn1\nBBJexBed+eNW+ptcIzOD4fMig3v7fZmfTQ0dbMkP8lXfFVypeursrAU8HuPkYKR1EolqLS2v\nK32YBz+FagWWtLwD7upkfOfc0J9+ufsxuQoAgIQHEzJwhVDLhbRyeSnreI1PWyv9me3MJRLZ\nukMf11zOAmMS+NqAHvZSRs0IH+qZVGZGo/W+HEAmB7kcRlzPv5ZZCwB4DGpjD7v5oRpOGqcu\npRUUa9SdqugNOBx6xEDPM1fSlSd/Gu7T4txb8UPgm/SDZjKZpqam27Zt+7cn8hWBQqPmHZpw\nIn3D1tjFp7M3fzJ89vXNBCU7A0BWXGFVMVN3WHFGmdYZOUD2B4Uyl1FW+/Z20qzO60Y7Lxhm\n9evMkDX3T74sza1Kf5O3atjerPhCnfv9v1jU0aq3i4JzbQzwZwd9IgimbRsLXStOBeoFwOaB\nq4adm4t3S+5ufSOcPd1MrhwbFNHVCdXXFyZ1goH+MDoEQhwBANg8eJj5vLhOLJa5hhxe88cz\nyKmC94VwMQ4EEgBIofNe0jTW48+L665m1l5rzO4SSeULYkvKNMNiTl5M05oGly+ppDeoG+3r\nEbCBfv+yfuCbxrFjx1Ao1OrVq3XfYrPZKBTK11ejYyAmJmbQoEGWlpZ4PN7S0rJfv35Xr15t\n8s4JCQlTp0719PQkkUhGRkZhYWHHjx+XybSrZF8K3x5BCwSCYcOG1dR8e8bkfwOWDqY+HVw/\nJ0CLWaHdusosb6KZ1dJRe0sNBUC1oMhl8l0zT4/3WrpuzMHClBIAkMvlLIaGguLltS9vd0XE\noh+M8cj+pU3cZJ+82W10s0W0oEfA3r80fORgLxdHir2N5vcDMgFIBAh0gBAnMCQCHgtoyEqu\nxGBQGAwKAFAosFO7hKiHRbJcneyNJvzeQ+6s9psJcQJjInhYgI9VKYO3cM0zmrqYhCuCnCpo\nar1vro9LrtLutk+lazTINGgbcINQKNl/PPH0ZRVxC4QSLc11K74elixZ0q9fv9u3bxsZGbVv\n397IyOjBgwcjRowYO3asugpZJpMtX748ODgYYf9u3bp5e3vHx8dPmTJl4MCBEsknNof/Hr6x\nEkdlZeXQoUPfvXv3b0/kv4XaKk7qqxz1MzgC1k2tlUMJBy/r8Oj2Ty/HKc+4BTr6d/N8cvF9\n7Nk3LX+KWPjF/gty6oRXbmWz6wQRXRwD/Sw8TP6C14+jndHFwwMAIDOHGdzrDA/ZEfW0hHBP\nQBahIY7gaAJXPiLjkRoI6OPltsalXNHg/u4CvsTMhDRnWjs/LzMA2PG+asnjUu2PifABCwMA\neM8QpNzV8bTjCEJtySO8qVyRdMa9YuXp+aGW5ToVbUPNanLfCJfEVG3X76ISjlZDQlX1/2Wr\n0orPRGJi4pYtW1xcXG7duuXjoygrZWZmDh069Pz585GRkcp8rD/++GPDhg0+Pj4nT54MDlaY\nj5eWlkZHR9+9e3fu3Llfo9PiWyLow4cPL126lMPhRERENGdS9QNCLpevHXUg56NKA4DDY6dt\nirZoJlHFSM3dH4PFTN88HIvDZMcXfPKDOvyVxMUWUF5ZH9L7TEWVwvXp4NZeM8b/nTt7e5i+\nuTd256EPFSz+Cw97sfp7VTrq6RAn8LEGgBgOn3moszIj/EMFd0FsifZgAISdEfB1/IzmDHbf\nOsELh0ZNDzK3NsBfyajBolFj25j2cDK8lK6dTZVbK+hsr7rbivkdy6saTl5IVR9j6W1p/bZE\n+TsBgC4dNJzB5XJ4n1BeSee287fUjd1qxd/GgwcPAGD16tVKdgYAb2/vI0eOdOnS5fz58whB\nZ2VlrV+/3tzc/NmzZ2Zmqi9bdnZ2d+/edXZ2Pnr06PLly62svnDP0bdE0Hv37jUzM7t27Vp9\nfX0rQStBpzHV2RkAwke1b645RSKS3DnyXHkolUgfnn7j3cHN2FJ78w2Be1vH4sxyY3PD6EV9\ngyK+zLbVln1x6ky0aPXzqWMDkCrEX0WAr/npff0+VHBDjmVovEHW8fg3VCzShUbEne/pSrX1\nq5LGInKDAMjNLOQD7KBA1fzi72u+65d2ysMod4p6fw1Gp2o4Z8WTdz7U0dNCfK3IZiQsAY85\nsasPy4Jy88BbQL6U+FqfF2GvHBk4ZsZtRGQycZTftJ9UGUtisaz/mGuIDo+Ax+zb1HPKWH+5\nHJ6/KaGVcdoFWPp6aleuvi3QWYzLz+/whPw+Id39nZvuAv2q0DW369ix4+bNm52dFZsiZ8+e\nlUgk8+fPV2dnBFQqddu2bSwW62skRn1LBL1jx47u3bvjcLj/VKvPvw51mzcEWFyz/6zcOr5E\npFGpYDPrASByQtjdI885TAVbmdoY+3Rw7Tu5q19n9ybu8v8hv0hDw9DAFVXSG2ytW5IP59UK\nyutEvuYk06Y0Ho4UAkpLsOFgAqZkYDY+BiyNQE1CnlqtKgqb6+MAAEpZcCcFXMzA1QxcdPYV\nrYzGb+2XnEqXVXHGtLde+Ev7Fqba1cGASsTW8ht/yWJpQ1bVsXjasdQavTC3rT3tZgVbAADf\nngpj20NcMdRyQSyl01huM3wL4qfnFbFMqUStgKvjF1KUKmmhSDpr6aMh/TzGzrxz/4li2/aP\nJWErF3RsYVb/ZWSX5nf4dQC7oQ4Afju+8dzSvWN6DP7HPj0qKmrlypXLli0TCARjxoyxtlY8\nuTEYzOLFi5XDkIV2v379mryJVgrtF8S3RNC9evX6nGE8Hu/evXvKw8LCL689+E/BysnMuY1d\nYaqqitppYLON9UamBvaeVup6D78wdwAwsaLse7vyzuFndFpN2wjvHiND0bpLwS+ENt5mMY9V\nFRVTKtHGqll2lgNMuFl4JpUJAPo49KH+TmP9tEs3ZiTswo5WW98qfigSDs0DgKFtIb0cWLze\n7aweEfVlahoJNzWvjIEeFBdjQsF7FsjkkFcNRLwuQVuQsadpPDAyACODCneLlhf75vq4e6Pc\nFzwqeVfEkddw4V0BIEGuhTWCDi6z79MiXYxcqXquVL2HT7OhSLHXjSpgMmb6WnmZ+3iY6t4z\nOb1a/VAoku45lqBkZwD4ffOrcdG+Dt9m6WPd+d0IOyNYfHTdlyLoU6dO6YY9ae3m+fn5HTp0\naPbs2YsXL168eLGPj0/Xrl0jIiJ69eqlHiZbVlYGAB4eHl9kYp+Pb4mgPxMMBmPEiBH/9iz+\nOaBQqN8vzjy0+HLa61yqheGIBX0CurXkf7b4+JQN4w5XFFSjUKiuw4MHzVT0Lt85/OzPPbES\nsbQgpcTB09o9yPErTXjJ7NCYxwWpmQwAIBFxR3f2acF04mJ6DcLOAMAVy6bdKerrakTVbPAT\niaQmWeW+OZU8Y1KPIOulg90Wxpbey2MTQ52mBZlv7GG7J44+v7HQ7EghqAuTDfCY95N9hhdV\nP/9IAwAoY4FUpqxTELHoeR0sN7xS+T7viaf/2t7Span2EyVCbclvJno7BR0qLlVrB2183n2o\n4LpS9Ubbk/YXqZRIcon0zOWMbaubFgW6OGpYlKBQUMvSjhHIyGZ8owRdWKmxB1BRQ+cJ+SQC\n8f+/M41Go9Fonxw2derU8PDwo0eP3r59OyMjIyMj48CBAwYGBsuWLVu8eDEajQYADoeDx+Nx\nuH868vE7JGgTE5PDhw8rD2k02oYNG/7F+fwDMLc3+f3SzM8c7NzG7kjCH1XFTDKFpDQjfX41\n/sr2+8jrsryq9WMPnUzf8JUW0RQjQsLjCU9f01hsQVionW7vtTo+lGuIGfgNog2HPloR0L3D\nnZSF14Wrn+09loC8LrySHGk++M8R7hKZXNkyPi/UsouDwbPiOlMSbrg3VV/Txd+UhDXyswIS\nHngiqOXC42xMN3cpAetsTDjY1/FZsfZ+45g/8/f1cWxn3UTMtjpGD/XesEtNbuSheCogrkmP\nG/vRlXj6qlkqmfZTwNGzKXmFijrpol/a64rBL93MatvG0tJcHwDkct0wmf8u/J2932UmKA89\n7Fy+CDsDwKpVq3Sl0Gw229hY2zLBxcVl06ZNmzZtqqysfPbsWUxMzNWrV3/77beqqqpdu3YB\ngImJSWVlJZ/PJxK/zNw+E/85gr579+7SpUvVzyQmJuLxOns+zYNMJk+bNk15mJCQ8N0T9F8F\nGoO21vwin6KWbQgAjLLa0twqBy9r+DrAYtG9ujl9zkg7I7V/+noBXPm4nS8GgGUbXh7dETlu\nhK9MJj91SaP14/j51CH93DOzmTW1/EA/C4oRAQCCrPSDrLQpVSCUHDiRFJ9cdd/GAoYHQUoZ\n1AnATN/flvxisg+i9Kjha4sL48q5Pc5mJ0/3bSFXEABWL+pM1MNeupldwBYKXMwhwBYAwp0M\nEUUHV8dTqaKyoYm7AACAkSEh6enEC9czy6vqw0LteoQ5iETSo2dT3n1UBbGfvZKRkEzv1d3x\n1KU0oVAa1dv1wJZeJsb/KJv8PawZv+B5yrvs0nwAoJAND83Z9A9PgMfjkUgKRxorK6vRo0eP\nHj16xYoVnTt33rdv35IlS6ysrJydnSsrK7OzswMDm1AcVVZWslgsb+8vv735nyNoNpudkaGx\nI//1unRaoQTZWNsy6T/iIj0xwHRPHJ3GEQIAfKRBow+USCRd8PvTn4b7SiQyrdSougZhn5FX\nHzwtBABjit75g1F9ejTRoFjDkwycefdNbB5IZDCFCmgUELBgSABjfX0iTqnDG+FDvZhecydX\nY2OzTii9kc3S6uHWAg6HXjG/44r5HRtE0iOJjNwaQYAlaVKAGbKsD/DTFgPIWuxL1yfhpv7k\nrzzE4zEvb4+e/dsj9X6WzFxmZq6iHHTlVrZUKr92YlAL9/yPwJximnLk0YuUd1wBr0ubUKrB\nP5clLxQKKRSKp6dnUlKS1luenp7R0dEHDhzIzs62srKKjIx88+ZNTExMkwS9c+fOrVu3rl69\netWqVV92hv+5TkKke0cdenqticVfHRFjOhJIqrVqx6hAE6t/7u+kBRjrYZOn+26JsJsdYuGN\n06AwZi2fxRbg8ZgeYQ7q5w0N8Ag7AwCLLRj3y11Fr4oaVj4rs9ie9MbZGiZ0AhczSC6F83EQ\nVwTJZXAvTf+DSraIQaFuj3Tf0cte6w58cbPrhgaR9HYO688sFhJBS8Zj5odaHurnOCPIHI9R\nGvV5aXVCMpi8PUcTmrhdM8Bi0a5OLbkbxjwukEi+jcUNHovrGdRlUKfIf5KdAYBAILi4uKSk\npCQmJuq+W1JSAgDm5uYAMHr0aDwev2PHDiZT20GhoqLi1KlTAPA14mX/cwTdiv8Hcrn86aX3\n26adOLDgIi1LO9K0BTh4WW+LXRw+KjQowmfC6sGLjk3+exNglNUeWHBx+YCdR5ddZTPqJWJp\n0rOs9zEpuvHknw+KHmZRR6s9kQ4RwRolF1trA6qxHgAc39UnMtwZg0ER9bCzpwTpa/aVMGv5\nhTSN9e/DAs66VxVSRLWqh4UIL0guBbVl+MNr6Ty+RuPL5EAzC33VbdEy+cPTH2OfFz18VhQW\ndd653aHRM+6UltcBQF6twHN/2sDLeUOv5rntS0mobPoHx2BQqS8mUQw1iiSrNr9WRny1jPcJ\nFR37nlu56VULY3A4DPozUnh+cCxYsEAul0dFRd24cUMp8BAIBOvXr793717btm2RBhZnZ+e5\nc+fW1tZ26dJFfbmdnp7ev39/BoMxfvx4P78v7yb2nytxtOL/wYmV16/vjkVex555vf3xEhd/\n7aVfc3Dxt194ZNL/8+kNbN7CnlsYZbUAkPQs6+nFd/x6gUgoAQB9I9LKCz+bWFNijr9oYPH8\nw71RwR71IllHO4Mmpc1NYsX8jg+fFeXk1wKAPgl3eFtv5LyVBfn+peFCkRSLQWMwqEWrn6lf\nhcWitfYhX5doxgDqJD3K5fKUDEaHdqrngSEBc2uk2y8xtMTKBnmdQPau6FUevfftLDwOIxJL\nAaCohJORzUh4PGHx41JltzeTJ5nzgPZ6YtOlSSNDgqUFmV0nVJ5h1wk69Dl7ck/fCSNb+lNn\n1PD6j75WoyPk0MK4ET6tBP1JTJw4MSUlZffu3UOGDKFQKM7OzjKZLCcnh8/nW1lZXbx4UTly\n/fr1dDr99OnTbdu29fX1tbe3Lysry8jIkEqlPXv2PHDgwNeYXitB/2uQSmQAgMF+sS8xEpHk\n9iFVOp9IIL5z+NncA58OyvpSiL+firAzAg5TtevF5fB2zDjJqWkQ8kRiAmE1xrwuGwDAkIC5\nPNQ10rXpPkYAoHPFTJ7EjarHEUqvFjWM39iXwqgzxkDXjnZWFhq0S2isGv86NejkxTQlfy2Z\n3V6fpLGmtiBri6VQKO0CsNbaFgCkFRxqbDq8LgYpgJMpDA+CXLooReUOmJrJSM9malkjpdBb\nolFbK4PsPG3br983v26ZoF++K22BnU2pJDsbg4GRbkt+bamhphVK7Nq1a8CAAcePH3/79m1W\nVhYajXZ1dR00aND8+fMpFFXJBYvFnjx5cuTIkYcOHUpLS3vy5AmBQOjUqdOECRPGjx+PqPG+\nOL5Jgh40aNDX6Kr8x8BvEOydc+71zUQA6DKk3S+7xrTs9fyZaODwtfyMWNVNBfp9NTRweC28\nW12q4O7CUP86C0U7Rp1QOuVOUdm8AN3xMjlMuVN0MpkBAJZkHLdeVP+BBhwexoR8ZHlnLXZW\nh52NYcbryScupDFqeD3CHPr1dAEAoUi6aPWzc9cyZDJ5VF93a1uLCoGipoGr5Ig1a7U2VmQP\nV6r6mdyC2l7DL3N5YgAAC0OI9AEMGgq1y5ESicyNqlfIUi2K3agEAEjJqGaxBYF+FkZqvJ+U\nRn/8slh3/hVV9WKxDIdr9g8eq/NQH9DbNTGNzuOLB/Vx374mHBGu/MiYMmVKc919FApFlz3C\nw8PDwz8dW4FCoSIjIyMjI7/AFD8P3yRBf+s4vvza8ysK686nl96TDPRm7hj9/9+WYmZg525Z\nmqtK2PsajdotoE1YS31WOAJOJBSjAOrMNLivvF5E54rVK7wIjiRWI+wMAFVsAVz5CLU8AJAC\nfcYUxtgP0/B4THIVL7aQY0TAjPChGuup/jNbmOn/NidU/W6rt7xWaqXPXUobPwZtHeVbzBYm\nPs7LuZmmvn5u28bi9L5+WsWBGzG5CnYGAGdTkMqAVgN4jdqIm7NxG2+zteYGr0vqkRwvPSx6\nbVfrXsMvP3pRDADGFL2Lhwf07q7QF2plXCnh62nWAjsDQNcO9taWZKWfiTFF7+DW3taWZE6d\nMC2LweIIWgn6u0HrJuG/gA+P0tWO5PEPtR3c/zYWHZ9i5aTQb3UZGjzol4iWx39ZOPrYzDs4\nHgk5JBC1pesdogIQziNxNEOnCBgzUhMNWhqVYokMvK2hkYLFlXX3X9COJTECj6QveVw6416x\n1/60Ek4TyVVK3HqgEYUV+7hgQ7jthSEulc/yQS2TEEfCJTyeoOs9JBSqKfn4IjgXBzHp8K4Q\ncBgw1COR8L26Od05NwyPxwRb6+fMarM70mFHL/uMn/3SHuYi7AwALLZg0Pg/a1kC5JCkY5IH\nAHg8+sTuvi38IABAMSLEXo0eEOlqb2vYu7tT7JVoa0vy6cvpdgEHkB3LCbPv6Tq0tOJbROsK\n+l+AHkl9gYPSI/2FNpyW4RpgfyRxbUVhtb4hkdqMQd3/CblcXphayqsXuAbYE3Xs33qO7dRj\nVAdWdZ0BRf/kqutPL74XiSROvrbTN0W7+NtJxdI3txKd41LoXs5CguKXsKmHXZNbWRpraj0c\nBNiBpSH8mYjk9rFqeYuSVA5kdK544+uKg/0cm5xzCUdUK9QoYuCVS1QKEWpUQguxWPbgeVFV\nVYO/j7l6pkn/Xq6rrueAmznIAd4VAq/xYSCWkmyM2O+n4NR+BhsD/K8hims/JKlsTwBAIJCM\nn333zrlhADCoj9vvm1+xOYp6CBqN6hhsM3dGO7FEKhJJ8fiWMgl9PExvnRmKvObyxP1HX7un\nZm9y+nJ6jy6OraFZ3wFaCfpfQM+fOp5YoQoG7D2u8xe8OQaLtnNvqYHi/wGfK1w1ZE/62zwA\nMDI1WHZ2um4VBY1BIxrq6VtGTt8yUv2t5edmMEpr69k8kp3p5Rx2nVDW28UoxKbpnunpQeb7\nPtBF6hJmSyOgkoHZgMdjPf0s2DkaJYLcGj6LLTCmKJ4ZAonsXVkDCoBKwnU+kVlvawI0FaGP\nbSQvtwj3hAK1UrJY2mfEFeTl4lntN//eDXkdL0ZBn8aQpLca3tlyZsPrkvpujoZNCiZ0vZuf\nvKRJJDIsFm1nY/j85ui1298WFLOC/C0nj/GfMPvesIk3AcDDlXr/0ggn+896xK7c9EqdnRG8\n+1DeStDfAVoJ+l/A0Nm9iPp6L67Fo1CorsND+kwM+7dn9Lm4uv0+ws4AwGHW75h+8mTGxr90\nBzM7qpkdFQDmtP/EU8TdRG9igOnhBIbGWRyGRMLt/CM81NvMilxW2aBSKz+/l01deDukrdXZ\n/f2BQup9PqeYLQQAQzy6XiRDOq0htwoNsGZK4JJZigp1B2ej5ppDtuyLGx/t6+1hCgB749Uy\nUIyIUC9QHvH19cLPZPd0NooZ7Y7V+S4wdWLb/ScSxWpdLWg0CtXolOHvY65s9hs47npugWIf\nNSe/tuvk208uD1c33tMCVyzbG09PrOS+uK8T+ALQsn1rK74VtBL0vwAUGtVvStfmPPX/y8hN\nLFY/pJfUsBn1FLMvwwUsgWTp47LYQg5FDzOnveUEf9NRvhoEbaGPvXVuiLcTxYCMB4Aj/Z1G\nXs/nNnKfzMMKqhviEytGTb9tPqkDws4AUCeSAQCgUBBoB4F2MoApUwNxOHROjWDOA9rLChGM\nCoG4IihkaE8IYNT021N/CpgxPqBW3ZGjgzPcSAaJFAAAi4aOLgDwqJBzLq1mgr/KLPRtacPU\nu0WZDD5pRlfxsxxIV3SgRA/yatKw9ENSlfphaR4z7GRW6gxfc53tUwCQyuV9L+QoImul2nez\nsiAjcYut+NbRStDfG6pozFv7HzPL2Z4hzlHTu+P1/r5B4qNzb67tiq2vbWjTxXPqxuEmVhQz\nWw0Bhh6JYEj9hKnb52P8zUKl5cXEW4WGeMwQL+N9fRxWPitnCSTeZsRjUU7tbclSuXzL28rL\nGbUogMGe1HNpjQUKLBq6uAGtJjGVblKuaTwklsKDDDAgQIC9oyPFkowTSuX9L+bm1woAAEz0\nobc3XE+Eas0GFoDUTMbs3x4VlbC7+ztcTG8ULFsYQntHyKwCPxtwMoHGSN80NQV0vUg6+Epe\nNVcMADw5QDcPZzIOVcUZ1Nd9zeKmK1p2NgaVdLVpG+jRueLbuewpgU2kpSRUqAWK+9uAmvy8\nV3en8wejTKnfgE1SKz6JVoL+rsAoq50Ttr6exQWAN7cT017lrLo6C/W3rCc/PEzb+fNp5PXL\n6x8YZbXbHy8ZOqfXy+sf+Q2KL/hikXhG8OrxqwZ1Gtj2/5x5vUh6L0+jIftSRs0QL+Nfgi1m\nBls0iKQGeAwAZOfV/LT65ccCFthQwNdau5EagwY3C2xamYMRoYavJspmccHZFOxNQCzpa0cC\ngJQqnoKdlRdGtQGeCPUqT16mMQ0AOHImJTelc1WDGLEebWuMD/ahEtpb7BFpqNk8TFXliMRK\nHsLOSoya13lNN5ujiYwxd4oN8Oif21l0tNOQcq+c3ylq7DXVcbAjANQJNXyglGDw1G7uZAqD\nAvxq2B4UwuC+7qOGeH9DXqOtaBmtMrvvCk8vvUfYGUH8w7SKguoWxreAN7c07GOy4gpqKti2\nbpaHP64ZtaQfkUwAAKlEVpZXtXXKcfU8l78HmRwU3QP1AihiAr1O2thNgAJA2Dknvza415mP\nj3KhkAGv8uBJdhM3cqCOj/Zd291WaUsEUhnIAHyswYAAVP0Daawb2awmnK6JeDAhy7t76hkQ\nnB00LHv4ArERDvV0nCd9QSBjYduE2QGH1oXvXhq2sIMqITTYWn9cG1V9wwCv/QEGeMzC2NKf\n7xXfymGdS6vpdDLzlWbHef9eLo/ujiUEO0KQA4wMBkcTPSw6wqlpD/521voarta2xnu297l6\nfNDooa3sDACwadMmFArVsWNHXS9MiUSCQqHatVOkSi5duhSFQp07d05rGI1Gs7e3R6FQS5Ys\n+Sdm3AxaV9DfFepqtD2FOcx6G1eLJgcDQEl25ZvbiSgUqtPAtlraD7mOAxygAABMbYzbhHlc\n3KwKFRMJRHEPUk1tqXmJxUYmZNdADW+58nz6rYNPOcx6v05ukRO7YHWMLxAYETA9XYxib2fB\nyzxEmFxIq5YMdlHvmjt+PrWBqyZ2zqVDmBtoqontHY33LwzC4TB3Rro/La5nVNWd2PQchmlk\ngF1Krzk72MXbjJjJ0GmYNiIKnMwGdLDcdfij8lxYqB2iWdYqB2/taTfAgxJfznUwwg/0NMah\nURKZ/FBC9aPCOqjhGr/LZ9XywZoCbWwMSbihXsZ+h9T173DgQ3VYY9r38STGhtcV9AZxm8G+\nlQ3isjqRuT5uey/7NhZNm75a6ONODXSefq+4li/BY1C/d7Hp5vhNxql8Vbx79+7AgQOzZs36\nqxdWVFT06NGjtLR0wYIFmzdv/hpz+0y0EvR3Bb8wjxv7VHnnBsb6Tn52zQ1OeJyxJno/kiF7\ncfPdNdd+RbKykp5m7p93oaJQY+nt28lNaUCKxWv9t0FVFjEm+f7GqxcAQGB3r1VXZiG174qC\n6l87r+NzhXKAV39+zIovbMEnb1+4jeei27LGtpHk+NITF1KnjVN1gTNrdVrJ+SItgh4cZJlR\nIxh5vSCvVoBGwTgvY2OQs0BjqjTFsAAAIABJREFUVSmVAx6DujfKffHj0ufFdQyeRn88hkJc\nszisvkF06lKaVCoPC7U9tbdfZg5zxcZXWXk1Xm4ma38LUyYHhtiQKxvEdK44m8n3MyfNvk87\nlFANbB5c/ghiKQBAEdOWx797ZoiZPk6o2VCujAKILeBMuaOQDH6o4PqZk1Jn+BnrtaSDBoBh\n3tQoD+OCWoGtId6Q8InBPyyWLVs2aNAgW1vbz7+EwWBEREQUFBTMnTt327ZtX29un4PWEsd3\nhdC+/tEL+yKrVKql0dJTU1tw+Ti77pYy4VsslJxddwsAaqs468YcUrIzCo2imBsE9fINH9mh\nskihc3ALdLB1Uy239UiE93eSeY3Ks6RnWbcPKzybHpx8xecKQbH4hmeX49gM7Y04JZjlHJkm\nhSWlaTwkunXSdObTxwOFBADKJpGOduQ13Wyirxfk1QoAQCaHU5mssXM66TE0PEmGe1MBwJFC\nuDLMNWNmG7ymNm50ZztDA/yG5V1pST/X5s55eXsMWR8XMezyjZjc7LyaGzG5PYZcYtbyAYAt\nkAYcTou+lj/rPq3NofRdcVXHkhgAAFlVCnYGAICypHJTmdSIgAnSTMnq0Vi+uJnDUj+fVs1j\naNavmwMBg/I2I7ayc3MIDAysr6+fOfNz0+AAgM1m9+rVKysra9asWTt37vx6c/tMtBL094bx\nqwZdLtl5LGXd6azNgeEtZfBUl2j4qNFpTADIeJev3AMEALlMTjE1TIhN3zP7zPR2q27uewwA\neD3c2ptzug0PsXYxb9vDe+6Bceo2SXKAvIRi5DWHqU3HHEaz/k1O9tpm7c6OGp0aPw33nT0l\nSKFR0yeAlxXkM0AoOTbQ6d0k75Tpvq8netcJpRq7fwDlRvpFG7sMdjE0JWHdqHr7+jhE+6i0\nKGYk7IF+jnqNhZS+tvorR3h69Dxt4b3Xts2B6Km3almCJy9p6voKOoP76HkRAOyKq8pmqj5r\n8aMSCdJgLdCmV4TQzw5y8bcgAQAKYLy/6fwOioccTkc9raun/r7Brq67dfDplR0PCtPKPj36\nszFv3jw/P787d+5cuXLlc8Y3NDRERkYmJyfPnDlz7969X3AmfxutJY7vEESynm4Tti5cAx0+\nxqqqom6BDgCg23denKkIvpOIJEd+u3Jl54Oxywf0ndRl8QmFW5iQJ8Jg0dLGxS8KwMJeUQHw\nC/N4dP4t8loOYGJpZOtuBQBSiezFtfiyPLq9p1WXIe2QdFpLc/35PwfvOPhBMR9n42k/abjc\noVCwZ0PE2qVhd2MLpi58wP9IAwBjKqnDZC83W4UigkrEYlAoxQYjhw/l7Hq5kDLA6c8xGknn\n2UzB2pflSaX13JJacmZF+0CbZCNDjlAaVyP0HXVDlKWQJD96Ubxg1dNwzcQWAEBCtnKYGk8C\nsQyAwwMjEthQIEPlu29lTvZyM6EzuNZ62OTpvhX1IjIeo77sjfYx2aPWCNPRjuzUYmr4d4bS\n3Kr54Zu4HB4AnFr156Jjk7tHfxmjVBwOd+zYsQ4dOvz66689e/bUzYpVB5/P79+/f1xc3PTp\n0/ft2/dFJvD/o3UF/eNi2qYR5vaKcGhLB9Npm6MBwC/M3drZvIWr2NV1++acS3qWhRzKpLLC\n9LJuw1V/URQzg4EzeyCve4wO7T+tOwqNAgBzO+pvZ6ZjsGiZVLZ8wM5tU09c2nJvy6Rjq0fs\nkzc6+2xfE/7wyoiVCzoe3tY76elEIx1TZgAwMiRs2fee36gzY9Xylm94qXxXH4eejAiHc+hw\nIR6eZj/a/7ZN1xPIGhYBnSvuejrrQnpNFkdUYkTO9LF/IcdzXuXDndSanGoRTeOLxZPXtPDO\n9khrDAIDMh4J2fI209QaS2TwIBNqueBuAX42jXUdwOMxwb3PWPrso7juGjvzjgkBo1WU6GhH\nvj3SvaMd2ZWqNynA7M8Rbj/U+vnSlntctW9gJ1Zeb2HwX0VISMjs2bPpdPrChQtbGCYSiQYP\nHvzixQsAiIiI+HvK1K+B1hX0jwtbN8sjH//IjCtAocA71BVHwAKAHonw87ZRK4fsbvna+Psp\ngd296moalg3YiWjsyMak0D7+jj62EWM7KrtXUCjUzO2jxq0cyGHWWzqaIekEHx+lp77KUd7q\nY2x66qsc/66KFW6vbk4tB37L5ZCdX6t+JiNHw5d5f18Hf3Pi3BOvxY37jXmFrM173m9d3R05\nvJvL1hApG+rBm3xIKgUA8LIEPbzKCwnAwIBgY2Vw68zQeSufZOYyvd1Nt/8RbmdjCABz2ltc\nzaxNq+YBAEhl8CoPGPVwIR7IBDMiltHoYUor40CZYubnr2W6O1N/X9hJ64eKcqdEuf8nQiD/\neVQVafRw1lSyhTwR4cs5iK1bt+7GjRsnTpwYO3Zs9+7dmxyzbNkyOp0eGRn58OHDGTNmdOzY\n0dr6a0Xa/yW0rqB/aIhFYp8Orv5dPRF2RiDgC1u4BAFeDw8AZ9beUiqgG1i8wrTSIb/21O0t\nJFNINq4WyuyYqmJtn/sqmvaZFoBCgbuzRkOjp6a5PhaNGmhHEvM0CsGZuap1MVc377WusViR\nUqb1N7Hg52AA6N7ZPvnZRFH5ouRnE5UZtYYETMI0n5vRbseinGyeZ6nKGg1CkUBDGaKORy+K\nV2x8aeW7z9ht18RfY8qZvD+zWFcya5k8CY8v/lZiXr8gtIRGtm6WX5CdAYBMJh88eBAApk2b\nJhAImhxDp9MnTJgQExMze/bsmpqaiRMn/kciQVoJ+gcFo7R2ceTW4bZzB1vM2v3LGYma6sDJ\nR1uTNODnHupN3ng9XNfhIQCQn0xTH1aUUa4V6dIkXAO0YxJd2nxucCKCHWvDiY3e0CYU4vpl\nXbQGWFmQtcojnm6q+fd0NtRTDyURSqCSo3hdyQEkqQuPwbibL9nQa1KL6VM4NGqgh/HkQLMT\na7opyyBe7iYebibNXcJiC9bvfFdVzWVzhKfu57vtSx16NS/6Wr7Vpo/6IccMnHYuXP3sh3Jz\nHrt8gFKDr29EmrV7zBf/iL59+44aNSo/P3/NmjVNDhgxYsTx48dRKNTGjRvd3NxiY2P37Nnz\nxafxN9BK0D8odvx8Kv1NHgDIpLKHZ15f3flA+Za1i/lPKwYqD7tHt5++ecSeV8v7Tenq6GMT\n1NNn7Y05zn62AGBup0FDVAsj9ZV4c/AOdVVPEohe2FeXsltGz66OW1Z1J5FwACAQSa8+LnyQ\nz1FGtQIAGo3avT5CaansZG+0ZLYqYMXLlHhmkLOdIR4AsPUC1L00FF/H7F8kPTo/dNOUQABg\nCST7PtDXvqx4V6bdB6REr25O+fHTrx4f9PDKiJRnk5bP7aDxtpoqQ2Nl1smF35hlJ8GioYub\nQCjZfiD+0OlkAKjmiq9n1T4q5Ii/a76mmBnsf/f7+ltzV16ceSJtfcu5PH8bu3btolKp27Zt\nS0lJ0X03KioKCRUkkUgnT55Eo9FLly7NzMz8GjP5S2itQf+IEAsl6W9y1c8kPs4YtbgfALDo\ndTHHX9RWcSb+McTMlmrraoF0BhqZGvyyU3tpE72wz4fYNGFjxfanlSpaz4ovvLrjAYvO8Q51\nGbWkP5mi0RE3bdOIPhPDEBVHC42OWshmCk6lMPhiWYgBdvGaZ3yBBAC4PNHvq55CVj3BwmBz\nhN2c9pZsgTSxkuvXxSn52cRnr0uoFL0Bka5a8SXDvanDval8iYyIRfcZWfWgQtt/AwDEDUIA\nKKsTtTuaQeeKAeD357Czt/3cZoxSzU1Jw6IU5DIg0vVtzNizVzJoGGyaiVEpT0oWS4Lq6leP\n8Fq15bXqGq1ykCkZUAByuP+kwDnMecS1/HqRFAB8zYnPx3uZEL/bv1YsHtuyJPT/h7m5+fbt\n2ydOnDh16tSWR3bq1Gnu3Lk7duwYM2ZMXFwcHv8l6y1/Fd/tP3krlJBKZPdPvkx6mmlgrN9/\nWnfXAHssDkMg4pWtJXIAJKeqtoozq+Mfyl6SnmM6dhse0sKdizPKDankWhHH1IYyae3QsMEK\nfwNaZvlv/beL+GIAyPlYlJ9csilmgdbOuJ2HlZ2HVRM3bQZx5Q1dT2UJkQb0HDpoFXnL2UJT\n8tyHJVQidu7DEsQdtJuj4b2x/iQ1z4r7TwofvyymUoiTRvtZWZCJWLRYLHv6ukT34/QI2LBQ\nu8oG8aJHpXS1HcVlT8p+CbbQVS7rokM7G1t3M+8DaQ08KQA04LAfLE0cfCxGD/F++a7RuoTN\nB/VHF5uP7CwakAnT7hYh7AwA6dX89a8qdvT6a98zWqGFCRMmnD9//vHjx58cuW7dunv37iUn\nJ69YsWLLli3/wNyaQ2uJ4/vHwQUXDsy/8O5ucuzZNwt7bs5PoqHQqD6TVHVbFEDfKV0B4MGp\nV+qdfo/Ov62p1F5aigTitNe5me/zk59nb59+klFWK5VI6bSa02tuKgvZz67EI+yMIO11bmVT\nbst/CZvfVAqV9iC6aX6NrqpzHtCU3s3Pi+vmPqTdy2Mjzdxrtr7pO+rqjoMfVmx86RN2vJDG\nBgAsFk3SWZkakPF7N0YcLuJa70i6lKGhuuNLZBX1LYUfquN5cV2DSFXc54llT4vqpo0L2Lux\nZ6CfhaebyWQXskpyJ5XBa4X1fnS0b2mdxqckV7WUmN6Kz8ShQ4eIxE8bsRKJxFOnTqHR6O3b\ntz9//vzrz6tZtK6gv3MIeaIHp1XfqUUC8b3jL+bsGzdh9RBzO5P3MSlEfUKfiV2CevoAQG0V\nR+vymgq2iRXlw8O0WwefcDl8F3/7D7FpjNJaADAw1vh6XlFQnfOxyNCEbOVoKuRp60DUuxP/\nHirq1VQZNhQw1Qdmo2+foR44KarhLIGGP+fRRMbRRAYZjzkZ5bhh9zvleRZbsOvwxz0bIlAo\nmDo2YOv+OAAAFAoC7CwCbfQtDWJwpBtxGg76CEg4tG1T6uwmQcRqL4CIODQKBbMmt501WWHQ\nup4rPp7EYHBF0ozKZBuSkZfx7ClBPbs5mXxk1ailBLj8SK0rXw8uLi6rV6/+HIO60NDQBQsW\nbN26dfz48SkpKRTKvyOCRP1H1CRfDwkJCe3atfvll1/+O91B/yRqqzhj3RapnwmJ9Ft9dXaT\ng59ceLd9+knlob4h8Vze1qz4wmVRO+QAn/xWj/QTGpkaRE3vfm79beV5C3uTo0lrdSyWPg0e\nX3zvUUFdvSg8zGF3Fme3GmPiUCCOpwGdA8YkCLADfQIADPai3s9jC5pSqhnhMZxdT0Btt21g\npNvNM0MAQCKR7T+RePthfqUVNcv803+Hx6KcJgeaSeXy+3mc8nqRqUB0cMfrD8lVDraG637r\nMiDSVTmSLZD6HUora1wLWxvgU2f4qpeSZXKYfLvwVAqTzGR5fUz1RYtDO7uOXNTX0IR8Ipkx\n+bbCQcmUhI2f4uNEaeXoHw6tK+jvHFRLI2tnswq1CkNJTqVMKkM34YgM4SNDU1/lPjr3BgAM\njPXnH55AIOEfX3gLzbAzCqXxgEe6vTnM+j/3xHYfEfL82ge5TI4n4kcu7vc32Lmqmtux79mi\nEg4A6BGwh3f3NSJgOI0G9mI5QLCqA1sfj97f1/EnP9PNbyqWPW3Cz4Ejkpo5mzDyVYLrkLZW\nAonsBa1eKJGNHxc4Z1q7kGMZUMHVvVYLd/PYY9uYhp/JelvaABIpnI+DeiEApGUxhky8MXBF\nuIeX+bxQKzMSlqKHeTbOc/WL8rRqvo8ZcXVXGxMitr5BtHnv+zfx5Zbm+l49PU5lcvTqGkIv\n3sEJRFUAN1OKM97lbX+8dFKAWaCl/oN8tpEeNtqH+h3vELaiBbT+q3//aN838Ma+WOVhVRGz\nKL3Mxb+JHScUGjXv4Pixy6Jq6Rx7L2vECU/Ia7rkKgdw8rUlGxFrKtl4Ak5p2QEAvHrB65uJ\nSAO3iC86vuJah/4BhibkJu+DgC2U3stl59UKOtmRezobAcCGXe8QdgYAgVCyaOVj0RgN7ZoJ\nHs1PLuMR8d7t7I4NdOpgSwaA3zpbB1uTYws5ceXclzSVMRMOjTqxPnzCjDs1LD4A2NsaMkVy\nz30ptDoxAJiSsHdHuWuJ2dAoaFLeRsKiTyYz3pY2AABU1yPsjEAqlf35oABqpNveVr2b5B1k\nre9K1TsQYbvj0IfE1zkHEosX/BwyZd792OeKpTH2Xh4MC7IsLMYJVL/kvERaQWqJR5BToCUp\n0LJpP+hW/CBoJejvE7x6AZfDM7UxRqFQBJ3FVz2rpR0nZfA2guDeflrpKgjwBOyMLdF+nd0B\n4M89j44tv6r+rlikqp82sHmZ7/ND+wVo3wIAAC6m18yPLalSy+f2Myd+nOqbqdnAXc3gOZCw\nNLWts5pCJjzNAQBjBst3vEo8G+FsGOFsWFEvCjqaobztqq42/cOsCz9On7PsyanLaSVldTtT\nasBDofBj8iQDLuURsRrfEwIwMt6bQpQBAR/mmlKjYmFUTlUmsXFnT1fOgUYDgFgmH/1nYc4s\nP4lE1nvElfcJiibDSzey6AzVIl0ikkBOJVau/Qh894ZGtja1sWpN5v7R0UrQ3xvkMvmBBRdi\nTryUy+TWLuZLT04N6OZ1aWuMcgCZQnJrq23P1gJ6ju1IpzFvHXgi4In8OrsPnt0zO64Ag8N0\nHRasdIXuHt3+2q4HSgWIvadVSXal+k0IxKbFpKl03qTbRVpV47Rq/spnZZ5uJk9eqToVTanE\nFV1spt4tUo37qJDHvYkvM3Te6exA2b0+on8vF+SktQE+42e/M6nMGp6kh5NhsA05vZpvTsRc\nuNHYfWCmscmpdOdAo8CEiNUrrU28lozYOpukV3n29swWAgglkFp2vog5eHI7IBoAAJgZABEH\nSskKFgPOiu1KWp0QAOKTKpXsDADq7IyAKJMznWzd3qgegWIUeuq6d7Dpw5rFnZdpNby04gdD\nK0F/b7h/6tW9Yy+Q1xUF1RvGHTmeum7K+uFn198S8kRmttR5ByfoGxIBoLaKc2nLvcK0MmsX\ns5GL+lm7aJjYlefTjy+/lptYbGFvMnbFwLHLB0hEUqRRMKS3dvezsYXh7pfLbx54wiit9Qx2\n7hgVOKfremU6oo2rhXeoKzSFR4V1Te7pPSzgxMztcPthfml5HQAQ8Ji9G3uObGvmQiVcy6yt\nqmr4c/tL0PT+L6Sxo6feSn812cle4SJNJWKRppIzqcwBl5LqRVI8GiXysYGkEgAAjhCoTVRd\nZHKY6mW0Ycsj5Zma6gbulWRQ62K/dzbJ2NWUFeAIVBJ0c4f7GYACsDKC9s7QKG6h6GEA4Glm\njdb9DQ0IdWpVkbnDvfFuZnlEMffyc1E9n4vCpePNJIAGiWz5hpf9err4+5gDAIst2H8isZDG\nDvK3nDLWn4BvNen/IdBK0N8bUl/mqB9WFTPoJTVDfu054OdwDrNeGVsl4ouXRe1A1rmZ7/M/\nPso48H4VxcxA+e7vQ/YgESq1VZwVg3bZuVv2ndw1anr35pwYzWypUzcMVx5uvr/w4ua75QXV\nrv72Y5ZFNWd/Q9YJV0WAEYrr6oVHt0cWl3JkcnlEF0c3Z2MA6O5o2N3RsLS87s+lTSSz8Pji\nJy+Lh/b3YHEEDrZGiLV/MVs4/W4x8hgQyeTQyQVYDVBcC/FFYEuBpjISqzlqNQd9AhiTpPUC\ndYIWiaSiTLoJs2Hp/oHhU31edLBYvuEl39EMbFQikDXdbADgIVcOOIx6wMrQqSEnTyVCLRdw\nGAhyOMGRl4ZZ47oOlu8YtPdg3JzVL9RnEp9Y6e9jXlcvDO51uqCYDQAnL6bdup/34PII9A9m\n6v9jopWgvzdomcmhUChEsIzFYZTsDAAZ7/PVqxDs6rr395IjJ4Qhh7lJxZVqJpBymbwku/LQ\noksoFCpqencAKMurKkors3IyU0bEsqvr3t1LlkpkIb39zO1NHH1sfjsz/ZOzHeBhvOJZGZOn\nbbGUuPOF1zohAOiTcIe3RSLsrISdjeGaxZ01eqYbcf5a5rQFD+RycHUyvnh4QLsAy/gKrvYi\nvW8biM2E/Gp4mgO9vKwImAaAepFqzNgQy2tGBDZHCAG20MEFZHLx2fe6n1VTzfUSidpa6bed\nEfzzxMCKqob4eumalxV8sTTC2Wi0rwkAMOQo6OUNT3OALwIsBt/JGbytYHQICCSAxwIalHmG\nPL4ET9IW0tnbGgLAlVvZCDsjePSi+GNyVUjbv9CH2YpvFK0E/b0hcmKX2HNvlI18EWM6IgUN\nLeh2jvDq1M40I44/t/52xrt8vB7ucWNOSrcRIYuOTS5KK1vSZxu3jg8Ax4i41VdmI/mzLaAk\nu5JRWuvkZ/tivNe6VxW5tQKhWJaVVyPl8OFNAXAVRQAuTzx1/v0+PZypxhoZMb8v7DSwj9uL\nt6Xrdr5lMBV7nkaGhOdvFYXp/CJW9NRb+fHTzUk6/8nRKOjlDe0cwJQMAJYy6bZRXlNuFxZx\nRKYk7OYIu66uxhcPDxi37AmjsxsAAJ0NzUhZJI2W03oErIO90aQz2dlMPgAcT2LElTfET/EJ\ntSXn1JjCRBNoEII+PsyVYq6PBQDQU83KXB+389CH5Rte8gUSLAatvGdYqC1ibVpJ165cV9Cb\ntW1qxfeEVoL+5sEsZ53+42buxyIzO+qoJf19OrjueLz09qGndbXcgG6efSd3bfIq7/YuRLKe\nOk0HdPdSvnYLdLCwN6GXaNdP61ncl9c/qJ95fiW+y5B29469QNgZAER88fEV1/a+XtHchOVy\n+fbpJ59efA8AeD3cjK0jL0wIAwBaWZ1j2xjd8XyBJDWzWjsxFsDfx9zfx7xfT5c1W1+nZTF8\nPc1qWPz7TwqVAwpp7E1PSq4X15NwaJ6WBzQahbAzSGUuPN6w3idZbIGDq0n/rvaoLBzXnRIZ\n7rz7qNHoGwUAANimC77mpqSw9iov4zclDS9oqsJLejX/ZjZrc4RdKp2XVMUDQz03qt6Bvo5o\nFBz4UK302RjrZ1Kcw5j/uyJmVyKV4XCYsUO92wdZTxzlh8WiAaBjiI365+oRsO38mzZsasV3\nhlaC/rYhEUlWDtlDyywHgNLcqox3+XterXBuYzf3wPiWL6SYGy47O33fnHP0khp9I1JAN8+C\nFJqtqwWeiAMAAgm/5vqvR3+7kvYyRyT6hMVz6qvc5OfZ6mfK8ppoklbi9Y0EhJ0BQCQQHVhw\nMbSvP8Xc0MaSTNbHN3CbWKvaWjcrOHNxpJzZ3x95PXNxrPpbKB/rZW9bmglU1XXic6/dU0ye\nll+zP78GIGnt9jfxseMdld3VpmQwN4BqBfmi0Sg9AqaNr8WI6e1zuZL2xoounooG7ZmX14ss\n9HEfpvqk0vlSmbyNBQmPQQFAwjSfvfH0/MJa0zreEKLsmaZbk1gs7RPhPHyA6itIjzCH3+aE\nbtz9HgD0Sbj9m3u18AtpxfeEVrOkbxsFaaU0tQ4RIU/UpGa5SQRF+JzM2DhwZg8uh/fmVuLO\nn0/PDluntLiz97Rae2POheIdPZEiSfM7Ujkfi6QSDQcMRy+b5gYDQF6Sus0/SiKSIFnOWCx6\n59pw3fFjh/m4OmnUoLli2f18zv18jroVEQDMmBBIVCsdWIW5qL+ru7s5pbs9wcUMOrmAg4ax\ndVEJZ9fhD6G25D6uRgAAaBRE+Zu2dwwKsBoW5fEhdvy5h5PSw7zmJ7M6nMjsfjqLL5EBgJ+F\ndlMJkV4fGX0lsNvJI9tfOxBQCDsDgBtVrw2T/WTDk7M7Xg8e9+eBk0laF5qZaN9qw/KuVRmz\n3j/4qTz1l/HRvrq/pVZ8l2hdQX/bkGgyFACIheImRzYJFr3u1oEnysPSnMoHJ18N+bWn8gzJ\nQG/eoQnzDk1YPWxv/MNU3ZZvz2Bnfj1f6+TUzcOheZjbUbXP2CvOTBnr3yHY5tnrEj08hs7k\nVlVzQ4NsRg1R1V7EMvnl9Np5sTRkX9HaAL8yzDq+gotBwdg2pl29zeIejtt3PLGmlh/R1eGs\nlFChZrFPwKClMrnC/F4qg7zqszKZEI2FQHsItIePNHivKo/kFbJQALdHup9NZSZX8dxM9MLG\ne67d8iojh/nHjjdPPewbGmsmL2j1e+LoSzpZ7XqnsVrvaYhZ9OsdxLQ6LYuRklH9+u4YRHoh\nEEp+XfZY1PhvV1peRzEksOsUZfeQtladQrRDbQRCiYWZvoWZdpxYK75vtBL0tw1Xf3szWyqj\nTBWi2r6P/+dfrhsGWFFY3eTI6EV909/l8+r4AGDjajF+9SBaZoW1s3nYkHabJxwtzlT1Ypja\nGN/c9+TQwksubezHLIsytdHOuu8xusOtg0/L8+nKQ2XDCwD4eJj6eJjqTkAslhUx+UNuFmYw\nVM+DinrRzzHFyOtjSYw/R7gN9jI7vK03cqb+beVbNYIWSlSd25iMcqlELkTSTMRSqOeDrw0k\n0JR6uDbe5gCQSufdymEXsYU1DeL1255XFdYAQFY1D5w1CDShkiuRyc+naZTsCz+U8NVMq999\nLM8tqHVzpS57UnbwURFf08+6Wyd7dxdqbkFt2zaWc6YF4dQ8rFMzGVPm3f+YXEkx0vt9Qae5\n09vp/nJa8b2ilaC/bRBI+FVXZh2YfyE3ocjczuSnlQPdgxw//3I7d0ssHitRqzIjWVa6OLbs\nKq9xG7A8n86m1435LQo5HLMsKulZJlIbweGxXA7/9c0EAMhPLsl8n7/i/M8nV/2Z/aGQamk0\namn/TgPaEsl6e16veHT2TXVpjWewc6eBbVuepFwOS9c+333ko7CTK/hYa7xRUgsCMVgbgwEB\nALa/qxzsqXoezO9gWcuXHEtiCCVyqRx4amJkqZc1FNUAAGRWwqs8EEsBg0YTsDKxFADaBVjO\nnd6OxhGGn8lG7JlS6TwIdQEaC6QyaBCCVA4Y1ZcJJwpBKgeJpnOHSKj95YYvkOx8X7XlbSUQ\n8IBBg1S1b+nva756UWfdn10slg0adx3xJGGxBfNWPnF3Me4b4aI7shXfJVoJ+puHs5/ttkeL\ndc+LhZL3MSkcZr1fZ3fNRpqFAAAgAElEQVQHr6Yz5MkU0owt0YeXXEbCXgO7e/Ua1wRNcDm8\n7A9F6mfe3k7qP02RYO/oY3M0ad2bWwlCvpjPFV7YeEc5rDS3auXQ3dUltQDAZtSvH3Nox9Ol\nnsHORH3CgBka5eaUjOqzVzMEAsmQfu7hYRqd6Ccvpm7ZFwcAYG6oMS05CmLSQCoHDBp6eIG7\nOZ2rsSzFoFAbe9ht7GEHAPh1GuITwGKAWQ8WBvAiV0GUUpmMJ1q7NCy0nXX3Tg4YDOpoXBVH\nnWSp+mBDgZJakMjgQzGEOiGnrci4uaGWBAyqt6vR3VyVWnlAL5f9LwuUh84OFB8P07kXcwEA\nsGjo5AIv85C3PFypv0wM+mPbm0s3s9Ao1Oih3ktmhyJdNtn5NUrHKAT3HhW0EvSPg1aC/j7R\nwOYt6LGpNLcKALB47Iwt0c3p7fpO7to2wif3Y5GJtbF3qAvSKCgWSlh0jom1MQaLBgC8Hh6D\nRasnfye/yJ4RvGpDzAKqmSEAGFsYInx9fXes1v2rS2oaK9dyANTbW0mewc5aY56/KekdfQWp\nye4/kXh4W+9p41TOSo9eFCte1fPBTK05mysAaWNB+UUOuJp3sW9W22BAwNSq+d+DVAopZQAo\n9WUsAJD18RFdHJHXfLFOD3qIE5TUgrcVqq2dHMAAjxnlZ7Kph62xHhYAjkU5/RJDu5fHJuHQ\n04PM13W39Sei12x7Q2dwQ4OsD23rjcdjVGnibWzBmkKg152M9hjcz23t9rcbdinyBJZveCmT\nyVfM7wgA+iTt7Bj9ZnoyW/FdolXF8X3i5v7HCDsDgEQkObL0iljYrFrO0sG0y9Bgnw6uCDvf\nOfws2n7eBJ/fxrguRDQhOAI2fGSo1lUl2ZUzg1drmZG27eGN11Nxir4hUW1fEQUABWmKOL4q\nGjMvkYZcvnlvnEhtt1NJVQiMlAkmH2igLhd5r7aoF0qCDdFbetpBM1jZRVNYUsIGuRwSaVrD\n7pVzlengka6a5v3ZVRCbAWZkCPeU47EAUC+SXkirEUoUlQ0Lfdy14a7c39rVLGq7IdwWjYKp\nP/mXpcwUlC58dWcMUlgf10atvG5KnjQ+YNQQLz0C9tKNLPWPuth46GRP6d5ZJQAn6mHHDvdp\n7mdsxfeH1hX094nS3Cr1DBSRQFxFY9q5f7q7ISeh6ODCi8hqt66mYdu0E57BzibWlJk7Rps7\nmJ5ff1vdob+upuH1zYQeo1WOa06+tvMPTTi+8jqjtNbRx2bG1pG/D94jUhOW0GlMfoNwceTW\ngpQSADAyM/jt1LSKKg1jjcpqrkwmV3pNTBrV5vSldIFQAox6OB/nP6SNMb8u90lOhcaeHOrS\nENcWXO3ntrdwMsIf+FhdUMopuJ0OLB4MCgCpHN7kA7NxI9GY9FiO73oqa3A95/HjArI+3jPA\nIRuHBwAoY8PjLACAQI1nQINI+ra0YYiXqvCt65CBUatWj/EzkcjkRxKr+WJZlLvxb50V7doS\nzYW8pLE3HYWCc0cGRu9PzGAJqWjUtsGubbzNmvsZW/H94Vsi6MrKytWrV8fExNDpdCqV2rNn\nzz/++MPJyenfntd/EfaeVupEgSfiLB2akEboIu11LgAouV3IE2V/KOw0sC1eDzd6Sb8bex5x\n6zS8pBnlLK07GBjrR4zuYGxm0GNsJ6I+gWxMUo86FAslszqsqSxWqEc4jPrNk451GBSRmqmy\n/ggNslZ3Agppa/XoWvSeownMWl5EF8dJwzwneS3xQmFYeBs+Bg/uFmBpqCeV6Zt+QoJGxKHf\nlNZzWUIoZ4FAAjeTwYhob64f3N/j+tsyoBChjR3gMAUs4bZ7uYotxLgy6OMLLmYQ11hN1tE1\nptJ5PubEuhLW/SeF+iTc6KHeVhYtRROM9zcd76/9bzGkn/uuwx+Vh0P7uyMvZHL46X7JaxQe\nqHgWwIz4mg5trSz0dTJzW/Gd4psh6IqKipCQkPLy8vDw8GHDhuXk5Jw7dy4mJub9+/dubm7/\n9uz+cxj0S8TrGwm0rApQ1KBHIk6hCKQSWdLTzLqaBu+OrlrEbajjwGlA1QeAh2den15zUynk\nUOLu4WeWDqbdRoQghydWXL+2+yHy+s99T/a8Wh4U4YtkaCFw8LL++ChdfXXPonOWj/FKyahG\nfJPdnI2VOjkA4Aske48lvIkvs7E0WL+si5uzMeLihJdLw4RlH/p2Z/k4AYAAIOBIevJ0XyV5\ncYRSMh6NaexOEcvkgy/n8SQyIBNgUCDEFRkIRIPD7Ncs6fygWnidrLn9qB7QlV0JLmZgagCV\ndQAAhUwIcUQiEBGseVm+5mU5fCiGuCIAWLvj7fv7P3m6mQBAcSlny964Qho70M9i0S/ttexE\n+BJZVYPYzhCPRaM2LO8qk8kv3chCo1FjhvkoFR1p1bynRapcGDpXfCGtZl5oa5/3j4JvhqBX\nrVpVXl6+Y8eOefPmIWdOnz49YcKEBQsW3L59u+Vrf0DoGxL3vl4R/zCtrqbBt5ObutCY3yBY\nHLkNqTDgCNhZO8Y6+FijMWhnP1s0Bt2hf8C59beZjeti10AH7/YuGe/yd/9ypskPqqVztkw+\nZu1i7h7kyGHWX9+jlq1VzIg5/mLqxuF1NfVx91MBUER9AtLVolEGQIGTu8XbmJ8yc5lCodTP\ny0ypApbLYcSUm3djFavXizcyk55OdHA0tXG1KM+niw2ICDsrPq5BfCyRsTzMOqmKN+FWYSqd\np49DL+1svSLMGgBymAKe0tPOlAz9/LBE7OlFbQGgO0mgh0WrHO8kUqhQE04g4jkvK8isBKkM\n+CK4noRq59Cmu0sKXe3LRLAj5FVDLZdTJ9yw692CmSE7jiZceVIkYHJBKnv4rOjxy+K3934C\nDOpaZm0hS5jPEl5MYwqlcgt93LEop/7ulN3rI3avj9D69TK42jsHDB3nv1Z8x/hmCPrGjRvm\n5uZz5sxRnhk/fvwff/wRGxsrl8ubMyn+kYHFYztGBeqev7HvMcLOACAWSnbPOi2TywHAuY3d\n2j/nGFsY7vxfe/cZ0NT1NgD8ySQJBAKEvRFFEFBkiYri3oLiwFVX3Vpt3Var/h11FKtWrbZq\ntbaK1NdRxYUDBUW2ICjI3nuvkHXfDxdCcgM4awKc36fcc09uTmJ8ODn3nOc82nzlyL2CtGLL\n3qaTV42g0qlR9xPaf63Ie696OJkXZZURNokvyChR47CmrR0TficeA6yhjpf4Io3w3EE+Lvjm\nh/LrUzKyKyXRGQAqqxrP+ydsXz9g699Lf15+PkJug9fcav6TzOrRF9/i0bZOIN72ONeGy/Cx\n0dJiEhMeSUZ9rbUZ57wsV9/NKqoTGKvTdRNzY2qkEvv1NAAA0GXDOHuIyoQ6PjBpKyxYfCNV\nmQANADpqUF4HAHGJJc5rHwpdzWGqM/CE8DQZ3hZHvSwMjcrbmlTTtJlhs6I6wcyraRmre8sP\noDcIxdosCptOqZEaV/E0Q1k4upCOEaBFItH+/fvJZDKZLDPthMlk8vl8kUhEpXaMN6IMsl7n\nSY8wiJtDanp8zpltV9b9tkDbkLNk/3TppzBU3zG1i8agAYCJtT5VhSqUmi5i1ccMAJ5ciQTZ\nXjOVShYKxSQSaYCX48azX7d12bJy4ogKvuWrma3R4eAtpZX1liffSAcvC02VMc3RWeJeWpWP\njZYhm95DW+Wt1NaC1Y3CBf9mnJloQQKY3ktrei+t8gahFpNaWNx9uUAQGJTGp5DAzgismm/K\nmWqBqRYAjNag8Cy1TseUAEFlU2srGXRh/+apygwqDLWBgmqo4d2KL31e1MpC/Bq+KDKvbrSV\nhnThgecF24PzeEKxBoOqwaBW8YR0Cul7D8OR3TTkr4B0Vh0jrlEolIULFxIKk5OTk5KSHBwc\nUHT+IEZWem393EiKSG+13GOyc8BPdxqaczTTVKgioVjc3AVlqqoM9O4LAFWlNSSs5do0BnXg\nJCcAkJ5AjTtwf6NIKDKw0NHSby/c2Nno6GizSspaOqrSa1i4HNY5L8sF/6bjy0nm9uaKxdAg\nt4GWugolJb0iKaVso4PWwscyOyX+8bLE3VhtUd+mEKzFpAKAvq7q1XOTRCLs54jCrY9yG0UY\nhUwSNa8SZNMpK8Z2m4CvN5GWWgxF1QBAo1HIJrLz86hk0NdgY2KqoToUETO4Nr0X2aTVT7Jq\nNj5omo9YxROq0SlhC3rZ6TLU0E5XXUxHDW1isXjVqlUikUh60AOXl5c3aNAgyWFjYyMgUrxX\nDA/+J7IwU64DCKBjLJPGqLKk5vLBwJTYbH1z7re/zgv+J6I4t7yni+XMTeOFfOGFXTeSozP0\nzbi+G8cZWuoCQOS9BAG/pYco4AmTozJcR9k7eFjfPtOykxOZSjGw4GpwZX6qh1yLDg4Ix8TY\nIB8XSwfjzMQ8w256Vn1MA057fbUyMCevmkYjb1jp5j1G5obwZBvNYZZ9XhXVG6nTLTgqu0Py\nQZYKhVQTld1j1jMAAC1VmOlKqHA1qVwSoKVRKKR17gZfO+pmVDaaqNP/elX6NKvGkE3/xlUv\nnjCykVkKiQXQPC9FIBBhcvsdqJOxi6cmCk21ILaVAD3IjO1oIJO+LjizWvqwli8qbxCo0VGm\npC6nQwZoDMOWL18eFBQ0bty4efPmEc6KxeKKipa5XyIRsfvWxalrq/0avj3kWnRNeS2/UXh+\n5zW8nEqn+q4fK6km5Au3eh9Oj88BfNPC+6+OPP3+yZXI5zdj98z6VV1LraayzrSn4eRvRkhW\nBhIGoCXEspN8xULRy+CkwVNcJCV3z4ccXXkBf/zidpykfMSs/t+enJcRtTQnv1qXy2IxW5le\npqFCGdi8gHBcd86ekHzJEAeTRj7ST2fxdP+mqhX1kFsBxjLJm2hy85brBOL4onoOg2LDZXIY\nFEd9FgCscdNf7qz3W0zx7pB8VZrs8q78KsiQyTlF0WVDgwCaW0viC49NNBg+1PJNacOEHpyb\nzcvB3YxUdVVprkZqa9z0KLI3UbTldoHhyi0pRLqCjhegRSLR4sWLz5496+7u7u/vL3970MTE\npLy8JbtbdHS0szNKACZDhUUfPqtpdYmDR4/z/7ueEpMlEopunHioY6TVyONzdNQLMorx6Iyr\nLq/zW3o+ITSZcKmIe/GHHmyydDABAJdR9ue2X2uob8T/SbQNOL3craC1IY6MVzkDvZ3wdeSR\n914d//Ziq+0M+vv5IB8XpxG9zE3ea+DVUZ91wdty6+PczMpGFyO1X0abRT9MbTmNYXD7leFs\n13xWy3S3WfYydyZDsmumXUktrBUAwGgrjWvTuuOLszGASQEpt1OaYiuFRBI1/zUaMdb62ZuC\n+uY9xsaP7FZkzEkvaQS+CEgAVDIFMJ6FQbejcfgaxWEW6nP7cF0M1HpyZWbdSZtmq7UnJB9v\nBgAMNGU7GRIzRCNdgdIF6Fu3bm3atEm6JCYmhk5vuklVX18/bdq0wMDAoUOH3rhxQ02tvRUB\nyPsozauQbAT+4nZc1P1X+DI2lxH2hJqJz4jRGQD4DYKgv58vcZgOAAYWOjuurDy/41p+eoml\ng8nXe6bg2yGW5JaTSCTp/nXAobsR917tu70OMGz//N9FchFcIj0hx2nEByxunmKrNcW2ZaCm\n3FQ2svNFS2w5VfqcWymV6iqU5c6603vJjOrMuZYuCYt3U6v8wgq/9zAEgITiekl0BgARhtEo\npD1DTPoZq3qYsrcZsI6diuJV87StdF47mdTUiwEAmseLXQQ1u3JVJSvIH2ZUj+3OaSc6A4Cu\nKi18YS+/sIKMykYXQ7U1/YhdbFxpecPBY+GJyaU9ummtX+Ha/gIZpCNSugBdWVmZmJgoXSIW\nN/1iraioGDNmTHh4uK+v7/nz5yVRG/kUYYEvpQ8li4wjg14xWHSeVKqNNgYwoL6aJxKK8e6w\ng4e130OZv6/RQYkXdt+Qf1ZmYt6lfTedR9jX1xC3r5WGj25/NM8BpqOGWNx73Jy1w4izPZ03\nU02QtMIBD3gCMVZYKzBQo1HJpIJaQVaVzB2LCyE5eICWRG0JgQhTo5M9TNmXE8t3v6mGQT0A\nIA8AapomsWipkJmYeKyJ6trRDj2Px0s/NzS75rt3LTYx1aAfGW3WToUGntDT62JicikABAal\n3biTEvtonjqbuC840qEpXbKk2bNnY7IYDAYA8Hi88ePHh4eHf/fddxcvXkTR+XOh0tqcGGDv\nYa33HgvEQ65FTdJdsdX7cLHcJrMAEHEvvq1NwlNfZqtpEX+5s9Rbupb2A3v0G9cH2pacWn79\nTsrrZOK2AxJkMinw4tSde0aAsxmMsIWJfYAMFxPK8OV5Z2JLuAdjTA+/5B6IufCymMuitmSb\nw6//sgCfiO2or0qR68LWCcQAEPC69YkZagzqs2W9Zw4wYVBJVNmRbgO1zzCg/Dg0K1Hqjadn\nVQYGEeeYIx2d0vWg27Jly5bnz58vWrTIz89P0W3pDIqyyxpqeMY99D2nuj34O6zVOnyeoCSv\nnFhKIqkw6QwWvaq0Bp/1zKvjAZBiHr7eN+/3Q482EarTVWjyG2Xh9C10rHqb2bh1e9Oc6UJD\nh30i7IeU2Ky0uBzj7nr9J/alUNvsQ2zZ8wTfRxUAfGc6mE2wIwFM66WN39aToFBIxi4mUCCz\nAC+huF5Xlfr1zaaedRVfNPdqenlS8SwL9pmU5mWEAhHE5Tx4yh4/shuXRXU3ZofmyCR1Gt1N\nHZpXGsorrxeZH4kDABUKaZAZW7JiW41OWeX6GdZql1cSf3mUVbT3WwTpiDpGgC4sLDx+/DgA\nxMfHe3p6Es7eunULDUa/Pz5PsHfOqYi78QCgZ6r9/V9Lt1xYcvVoUG1lPQaQ17whN4vNiHuS\nJP/0SSuGfb13KolEqqtu+HnZuef/xkrib1JkelVpDWH+nG1/K+n13xKqGizf9WMpVPL/rn5z\n9ej91JfZemZcn9UjNfU0XEc7uI52aP9dxMQXSaIzAPhfjIdGKhho7HtWcNO3x/geMjORe2oz\nCU+34TKfZslEW4xK3vBbbNAezzOHQ8FUCxqFkJgHNY2aGk09+h8GG478q2UUvr+Jmp0uCwMo\nlVuNjattHlhvFGGh2TVHRpu+LGzQYVEXO+l203yvgYjywqoLu28kRaTrmGjN2DDOxk0mT/8A\nV2Mmgyq9ddbg/m1mW0U6qI4RoF+8eMHn8wEgPDxc/qxQiLITfIB/fr6LR2cAKMouO7jo7Kmo\nnQO9nQBAJBQH/fUs4XmKtj5HKBRd+yWI8FyGmsrc7ZPwmTOq6kyGqkygIZFJ0smgcX08bUhk\nMiZumWnXy92q/8S+Q6a5cnTV8evM2er1oe/iZUIRsai4Bgw0AGBXSB4hQPc3UZvjwL0Q3zQg\nMNlGc0Q3jXIe8WvDr20sLK4bYaoW9KRpHYo6W2XOtKZblJcSWn5MdNdS+de3BwBceV0u3a0m\nAeir0UgkkgWH/kxqSTdfhDEEIueySnEJRu2pAe8RoEVC8fYpv+CL8rPe5L8KfXs0ZKt0wlgL\nU40zh8es3BxUXsFTZ6v47Rxib4MykXY2HSNAe3t7tzXHFmkLhmFR9xNyU4rMbQ0dh9pKyl/L\nZsPISS6oLq9T11IFAAqVPHqex+h5HgAQePoJyBm7YBAegssLq4qySt0nOD661NKNHejVl6lG\nnJzAVFWZ+u2oAL87+CFHh73p3GJtQw68ByFfSKW3/hW1NJO7gkZTNzm7ik88BfCnt+W83txX\nxfU2XOaIbhokgLFWHB0aqUTQ/L0qr4PcCl0u6+q5SX4nIsOi8owM2GuXueAv9Dyn9o+XLUt7\nUsobYwrqRlhqRMnmA8EAznlZjuymcSG+9Jlszo01395pyCwDgA07H9++NNVzgCm0KzMxV5Iy\nBQAa6/mh16JnbBwnXWfGZNupE3vmFdYa6qnRaEp3Pwn5dB0jQCMfCsOwXTN+fdE8Q8NzmuuG\nM00pLwirq1VYdHwyHIHHJCf/A4FlBU1zy+gMmveK4fhGsRd23wjwuyMSiulM2rhFg/NSimoq\n6p2G2U7fME7+OgAwb8ckW3er+KdJHB31EbP7a3DZQoEoMyGXRCZZ2BmTKcTIgomxP364Gng6\nWMAXOg619d04rra8zriHvoFFSw9xcH/TscO73X7Q/MfGmAOm2vhDN6PWx7uGWqgPtWhJK6qu\nQgmZZ+u66XE1lQJltRCT4+agP8DVmEYjb18/gPDcpDJiVpDXJQ0jLDVMNYg3q804KgDgY6N1\n4HlBQnHTs7Rr6suymu4lNvCEG3cFh9/9qtVGSvDldsBpbGjlDw+VSjYzVpcvRzoHFKA7p5iH\nr19IzZ8LDogYv8jTtp8VAHgvHxZyNYrPa5o35vPNyFZvxKlrqx0O3nL1WFBhRkn3vuZey4fh\nOecSnqdc2h+I1+E3CO7/+exU1E5983f8uHYdZe86qmlidWFmyXafX/AduSztjXf+3zfaBjLd\n4X9PPpIklY689yry3iv8sYWd8QCvvuO+HqzBZZNI8O8Fnys3kxKTS7UM1H+tgrcVjQBgrc04\nPOodnVMJawPVFL+hP5+MTMEaHb91/2aRU0hu7ano4jqBeFx3zqK+OpLZF/Kj2LY6TAD4qjf3\n8IvC1IqmyXlzHLjW2gwAYNHILxb2+j2mOK280dGAtXPh/5VJ/QJ8myZ361VON3sTHWOtktyW\nmm5j3jEuj3Q+KEB3TnmpxCHanLeFeIDu1tv0l9Ctd/4Iqa9ucB5ph48+t0rbkLNo71RCYVKk\nTEIlQaMwOSrznQFa2q/r/CX7Jaa/yjm95Z+NfyySrhDRHJEJMhJyMxJy7/zx9PjzH9S11SgU\n0nRvG/zUchEWW1gHAH0NVOVXb7dDl8v6cWvTdrpB6VWS24CBKZVpFbyfRjTF+v4manN7c8/H\nNY1i+9ho9TdhN/CEi1ffTg18CzYGht2522baLRnYsvOhKo28xk2/vEG48UFOyVgHqGmE+FxI\nyAcAwmBxUZ1g9d2se2lVHAb1G1c9PB8/nUnbfnnFsTV/v43J1DbkfLXVi3CTEOkKUIDunMxs\nDAkl5rYtscPE2mDxvmkfd2VtfeLgb/sDyo31/If+L4qzSrv3Ne8/0ZFEIiXLhvg3cin0VJjt\nTXIvy6988HfY5G9GSBfSKaS2Rjbe38noYpnDqOL9w00kS/jOeVnO76PzsrDuflr1v8kV7B+j\nzEiizKB04IsgLjc/Lvd6WdXSgcRPdd6N9JtvK4FGBS0qeFpDo0i7tPrwbpnE/HOupQelVwFA\nJU/03f1sHVXabHttALB0MDn0aJNYJJYfBUK6CPQP3zn1Htxz6IyWfbjHLhxs7fx5Nm/sP8HR\ntKeB5NBhkHWvflZtVW6s568Z8uOx1X8FHLq7Z/ZJv8V/AIC2oXS6IhJX5hAAYMTs/u23oayA\nuBHi+ygurZfOXJqVW71wzZ1+oy/MXRmYkl4BABUNMivOG4RinlDm1vRgM3ZVo+h2aqVAjGEA\nmRgFhlpLzgY/yxbKJjutE4hvp1RJl1hNsL13d25fBz1JSXWj6EG6TJ1f76WIpK6DonNXhnrQ\nnda63xaMXTAoN6XIzMbwc0VnAFBh0X9+vPn2mad5qUWWDiajvhpIantIIfifiKzXeZLDR/4v\nfFaPHDV34Mn1/pLCGXK3Ft3H99lyYUng6ScNNQ3V5XWFmcSFgrZt/0loVUlZve/ifx+FZAHA\n8EHm/r9PpNMoQyddSs+qBIDwmPygJ5mvni4Ybqn+WCrPZ38TNjFxHcC9NJlgCkaaQCHju7Ow\n1ehU2dF8DMMIqUdT+dD/4tsDw01WuzVNmCOTgCyVegkA0l9mHVgQt/nPJR/0HpFOCQXozsy2\nn9WHxrL3wVRj+KweiT9uqGuk0iiSGF1dVvvkSmR+eklOUn51RR0mlz5/2+Qj5QVVJBLJxFrf\neYT9kOmu3Xq3ck9voLcTPjguFIiCAyJCb0THBSfh0xjGLx4ywKvvBzV4zdaHeHQGgAdPM9f+\n8GjyOGs8OuMKimpvP0hf72ObUsY7H1eKAbgaqZ73spS/lLqK7Mp4oRiap3ivWEhslRqdMsaK\nEyiVZQkA+CJsfVCOr502vr+tGp0ywZpzPanlN4Hh67SQlMy56cWfmIcE6QRQgEY+Ulpc9s/L\nzqW/ymWqqkxfP3ba2jEFGSWrPXbXVhFnpEmQSFBeUAUAGIZlJxWMmD2g1egsjUqjDJ/lPnyW\ne0MtLzupgGuo+Z5zqKU9Ds2WPnwUmj1qCPEnRXUt/9/kClMNlVMTLMZacYzYrafLWOSoeze1\npRPtY6lOGm/dyBd5je4+f4ZM/j+hGAt4XW7DZdbxRZH5dXjiDpxAjCUUN+hZNL3EHxMtKxOC\nI2oxGo9vFpuol5IJAOUFVShAIyhAIx9DJBTvmvkrnh2poa7x3I5rJtYGz/6NaSc6U+lUIV9m\nbu+lA7dCrkWNnDNg7MLB73xFphrjowdquFrMgqKWZSPamgyPfiZqqvTauqaZxUwG9RZJ5e4/\nTcmj+xmrPZlrQ5dPjwQw2Ubz+vTuv8WU8ITiiT04K1z0qAvt5KuJMGzkX8mSARN7XearYplP\npqZRdOhFoZ4qzcdGk8Og7OrL2TvnlPSbtbA3/rg3i3QmKEAjHyP3bQEhd110UEJaXE6rledu\n9y4vrNLU07j44y2hoCVG11fz3kZnvo3OBBJp7IJB0k8pyCg5ud7/9Ys0bQONGRvH49uvlOZV\nlOSWm/Y0UNX4sOz1q752Wrz2ruRw9WJnY0N2wGmvFRvvZ2RXGRuyV27x3JTUEsFf5NZeTSr3\n7aXd6tW8rDW9rIk3Nglup1RJD2e/Km7opslIa05m1N+EPSkgBX+89ynjoou6gYXO+MWet34L\nBgA1DuvbX+e1unoI6WpQgEY+BotNDB8hV6PZ3FY2zWOxmZd/usur40HbqU0fXgyTDtAioXjH\n1GM5yQUAUFdVv3/+71wjzWc3Yq4ffwAADJbKip9nDpvp/v6tXTSntw6XdenqaxKJNMvHdsIo\nKwAYM8wyPWppXefaWjAAACAASURBVL1AlUULeF0OSanST0mv+KStLNPlEsttHKCvQiVnV/Ht\ndJhTmrvqzOpa7bNXNpdVAoB5L6OjIVsBw4yt9RkslNYZAUABGvk4HF11EpmESaXarKmsq6ms\nI+ycYmipy2SrSHrWQoHIyErXsrfpi5svBVLDHdnJBQvsthh115u9daK1k0VOcgEenSWu/hIU\ndjMWf8yrb/xl9V99h/XS1PuAJc7eY7oTNpzFialkoRjrrUfskjvqf9IOrfJPdzFU66PPAoCo\n/DrJnA3bB8/VyppuIWYm5v1z6A6avIFIQ1MskY9RW1mPtZYImcVm6JhoAQDXWGvD2a9Px+2u\nLJbJ6llTUb/53GITqZnU+NUKs0qjHyRunXi4JKdcfuZvZZHMLtd8niD1ZRafJ8hIyJVkC/lQ\nyWW8fmdeq++LVvsx6nRMyf+GtIz5LnTUGWP1XrsgtmWQGXulS8tk5y0DDfs0Z6nuoc1QaR7d\n5hTILI15HY4y7iMyUA8a+RiaeuqGlrr56cXyp84l/ijki2gqTV8tM1tD6RiKL2gszWuZVYZJ\n5fOvq26IuPdqzHyPbr1NJbnc6Aya3YDubyJkgldZQdUC+y3lhVUAMHyW+7cn5rUzHbtV06+k\nxhXVA0CjCPsprODUePOUlQ6vihustFTsdT/DDq2/jDFb6qz7toxnq8PEE3Tg1FUoP48yW3Mv\niy/CeGw1en3LYIj8mh2ki0M96K5OKBDlpxc31reSKa19688u1DXVJvSi3cb1JpFIkugMAAt3\nT8FzmQIAW1P1671TRUKx9D6EhLAqFIjIFPL2yys8p7nqmGjZuFpu+WvptHVjpNN9uI1x+HPX\ndTw6A8CDv8PunAuRb6GgUZibUsirb2U0ubBWgEdniXtpVVZajEk9NT9LdMb10mFO6qkpHZ1x\ny5x1E5fZn/e2nC2bPtR3w9jP9dJI54B60F3a85uxR1ddqC6rpTNos7+fOGXNqPd/rrWTxemX\nu7OT8gNPB4deixEKRP0nOi496EuoZmFn/PvL3bGPXmMYOA61xYO1bb9ukq3Epamw6C4j7QCA\na6QpyY+KOxry/e2zT4uzSrs7mVu7WC533SF99nVYKmEeSPA/Ece/vVhXVU9n0uZtn+S9Qib9\nhRqdTJFdv6dOb3Nvxv+ClRbDSosBDtwhjoZP/y+SRCYN9nHt3re9XWKRLojU6RPhR0dHOzs7\nr1ix4tixY4pui3KpLK5eYP+9dAfzwL31dv1buZP2QZ7diAn667lQIOw/se+YeR7SIw9vItIu\n7LpRXV5n3sso41VORkIeANgN6CHkCdJf5xpb6c3f6eM0otc7X6K2sn666bfSX12f1SMX7p4i\nOSzJLV/Udxu/oWUr7p+DN1s7yUyj/up6umSPFQAInW87wARtnIYoF9SD7rrexmQSfv7HP03+\noACNYdiDi2HBl8PFYsza2aIoszTzdV7Wm3z8bMzD12V5FXO2NW1n9ehyuN+iM3hQTY/P6dbb\n9HTcbjUNlro2MSzGJRYHBqXR6RRfbxtjQzbIUeOwRs/zuPPHU/yQxWaM+1pmqUtSZIZ0dAaA\nV6FvCQH6t/HmNlzG/fRqbSZ1laseis6IEkIBuusi7O5KKEl4npKfVmxma0iIa9ICfw8+sfYS\n/rjVHWb9D97m6KpPWDJELBIfX/2X9K+1tLjsmoo6wmrmouyynzdfv3U7qZTMLKKo7jgQGnpr\ndh+7VlY8Lz3oq2+hnZGYx9XXHLtosL4ZV/aNEKOt/JtlUMmbBxpuHkjMy4ogygMF6K7Lqo+Z\nbT+r1y+aFk1oG3A8JjkBAIZhBxacfnIlEi+3dDDp6WzRb1wf55FNa5prK+v//N/1uCdJxbnv\nSPuJYdiv6y5ZO5urarAa6og363i1MiW5KYWrPfY01DWaAphCVRpV82291s6DodfOTyY88UXg\ny8Mr/sSHzmdtmUCIzgBg28+qh5P52+hM/FDPVLv/BMf3+EgQRLmgAN11UajkXde+uX7iYUp0\npoGlzuRVI/HRhpgHryXRGQDS43PS43Nun326eN80/FbbgYWno+4nvP8L/b335qbziwkLW1RY\n9B5O5tLVrh9/KB3ELYSVqVRN6ZxzuMqSmoMLz+A1+TzBHz9c7eliaT+wh3QdKo2y9+Z3148/\nSIvLNu6uP2nlcLRyGumIUIDu0phqDPl0zNlJ+a1WvvzTHe8Vw2sq6qKDEtu6ICY3bQ4A0uNz\nmGqMiUuH3jjxEC8hk8lrf19A2AK8XHbJCRkwOoj6OjTlTa4qraHSqarqzJSYTEJn/OXjN/FP\nk59ejSKTSUOmu01ZM4pMIbPYjJmbxrfVzs8ovaLxm7tZodk1+mq0rYOM8M1QEOSzQAEaITLq\nod9qeXV5LZ8nEAlEhJk/ZDIJw5rK8OhMApk09VQaFQAW75tm42oZ/zRZVZ05fskQHWMtwvV7\nulq+uB0nOeSRqKZWOnu2DCrJLd8//zQ+FDPQ22ni0qGEJyZHpcc8eoM/PrfjGoZh09d9oQnF\nIgyb6P82saQBAKoaRXOupRmzaZ7maJtt5PNAC1UQIpcRdq6jW9lAuoejOZ1Bk1/3MWq+h7ah\nTLRVUZXZVLC/d18AIJFIg3xcVh6ZPX+Xj3x0BoBJK0e4NO/8zdJUnbt/5qsnCw311Y5+c0Ey\nUB56PTr8dpz0VBNtA45kC1pc8D+R8KUkl/Lw6CxxLeljtuNCkFahHjRCRCKTtgesiLqfkJGY\n9/Dv55LwR2NQefWNeSnE5d2qbKbjEJugv55JSgaM76uipvLkSiSJBJ5TXedu806Ozgi68FzI\nF7pP6OM2prekZlVpzYVdNxLDUrX0NaatHbPzyqrclMLaynqLXsYqLDoAYGLsVchb6ZeLe5q0\n/+76GycepsRk6lvoTFox/Lth+6Qr1Fc1JIalWjtbtJU87zOiyq0vp3zginMEaQcK0EgrSCSS\nyyh7l1H2EXfiJYUJz1Iu7r01frEnoXJlcTWdQTPvZZSZmAcArqPsFx+cztZUXXl4Fl4h5uHr\nrd6H8cf3LzybvGrkqLkDTKwNMDH2P98Tb8LTACDrTX5iWOpPQRut+sjssUIik1Q1mHxey6Rm\nBkvlxHcXE0LfcnTUh87oxzXSHDDR8cavjyQVSvLK1488YNJDf+/N7z5i+5UPYqXFcDZUjcqv\nk5RMs23lxwGCfBzKjh07FN2G/1ZBQcFvv/3m6uo6dixKdPBhhHzh8e/+lp56IRKJ8d0IX4U2\n9WpZ6szkqIyU2KzKkhpbd6tjz7eNmjtQhSkzxHFi7cX89BJJx/JNRNqt34Jfhb7t1tvkz/9d\nb7m4UKyqznQcaktoBp8nkF4XTmfQ4p4k1VXVlxVUhlyN6j2457AZ7vU1DYWZpSKhSNzc2uqy\n2sqS6gETP2z3wg9FIsH47pziOkE1X2zDZf461nyoxbsHoCtLai7/dOfuuZD8tOJufUzxMXoE\nkYe+GUibqHSqqgaruqxlqxGODhsAZm2Z4D7BMSU2s7yg6sLuG5Kzr8NSU2Oz5CNsRXG1/M/+\n+JDkf088IhQ28lrJ2eS7bizXSDPs5kuaCtV1lL3fkj8AQDJb5On/RdoN6L7spxlLD/p6cZdL\nPzElJkv6MDU2KzelyMLOyMzW6B3v/EMYsukXJnV7//p11Q3feu4tyi4DgKf/Fxl+J/7A3fUU\nKrobhLQCBWikPZO/GXlu+1XJ4aRVI/AHlvbGlvbGN089JtQvzi2Xv0gvd6v0+FZ2w8pJKTLs\nppuf1jKo3W9cH/lqJDJpxKz+I2b1B4DCzBLCWVHzxuGXf7oj5IukT+matow2HFnx570/Q/HH\nU9aMWrDLR/6Fvozn/8YUSe0W9iY87U1E2qenQEE6JfR3G2nPtO9Gb7mwZNhM97ELBh0O3uLg\nYS19lrDSBABaXRf+1Q/eDoOs5cu5Rpztl1fYD+xBpVF0jLVWHZ3tOMSm/fbomXEJG4EP8Goa\nxJBMssaRKeRZmyfgj18GJ0miMwBcOXyv1T8YX0ZlSQ2xpLi61ZoIgnrQyDsM9HYa6O3U6ilr\nZwvfDeP8DwQCAJVG8V4xPC0uuyCjxGl4LzqDJqmmqs7cF7i2MKv07tmnAYeaNm+lq9CEfOEP\nk4+ytdXWnJg71Lff+zSGRCJtu7js5IbLr0KSObrq09aN6TvMFgBEQnFdddN0N3wQ2qSnvo1b\n08hDRkIu4Trpr3ItHUze9yP4rAidZTqT1tPFUiEtQZQfCtDIJ/lqm9eY+R55qcUF6cWnNl7G\np1sYdtP1e7CRkJ9I34w7b+dkew/r8NtxTDVG4ouUsFsvAaAou+ynRWfVNFVdmydBt0/XVPsH\n/+WEQgqVLMkxjQ9Ou4xouZphNx1CfSOrVhIwfRk2bt0W7PK5sPuGoFGoqsFacWgm1whtpIK0\nDgVo5FPpGGtxjTT3z/9dMhkuP604wO/Ooh+nAQC/QXBu57VnN2LIZNLQGf1mbprgNLxXTUXd\nP6Z3pS/y9Erkewbotqw6Mnv//N9TX2YDQL9xfSTjGwDgMtLecYhN7OM3+Fp0j0lOks71h2qo\n5RFWqH+EKWtGjV04uCS33MBch86kvfsJSFeFAjTyGVSV1laVygytZr5uSuhxZtsVyb3ES/sD\nqXTqjA3jxCIx4QryJe8vOCDij+1XS/MqLOyNt11a1su9OyHHNJlC3nVt9fObsTlvC7s5mLh8\n1F+CmIevj63+qzCrlKPDXvTjtCHT3T66wQDAYjPMbFCmU+Qd0E1C5DPQ4KqxNVWlS4y7N+1p\nHXo9Wro89Fo0AGhw2XYDZIZiJff6PlTqy+wDC0+X5JZjGJYen3N01V+U1hYQkinkgd5OMzaM\ncx3tQCJ98GK/yuLqvXNOFmaVAkBlSc2RlX/Kj2sjyGeHAjTSprKCyj2zT041Wr3A/vtbvxFn\n1EkjkUiL902j0pt+kHGNNKetHSM5JVuz6cHGPxZ5THJS1WAZWOgsPzSTEKBFQnHg6Se7Zpz4\nedn51FiZ6cwE0Q9kEp9WldYkR2a819v7EK/D06Q3uuXzBC8fv/nsr4IgBGiIA2nTvrm/JYal\nAkBddcOJtZc09TTa6ecOm+new8k89vEbVXVmf6++TFUVvHyQj8v14w8k1QZNccUfaBtwNp1f\nHHE3PjMxT9uAg4kxsRgryChmsFS4RpqnNvjf+j0Yr/nIP2zHP984DSeuf8HRGXRiSbujuo31\nfDqT9qGdaPlxZyb7U0eiEeSdUIBGWldZUoNHZ4ln/8a0PxBhYm1gYm1AKJy3YxKVRgm9Fk2m\nkIfNcp+yeiRejmHYnlknn9+MxQ979e9eVVKTm1IIAK6j7GMevpZcQSQU//jVyQspByVBX9qA\niY5/7/1X0r01s2lzj66sN/mHl51Pjs5gqjGmfDtKPhF2O3r1szKxNshJLsAPObrqra6pQZDP\nCwVopHVkCnH4S77kfdAZtAW7fORX7iU8S5FEZwBIfJ4ieRxx7xUh9X99DS/qfgK+IxeBrqn2\nwt1TL+y+Xl/D0zfnbjy3mKbSyrcaw7DdM3/NSy0CgIZa3oVdN4yt9DwmO7/vu2DS9t781v9A\nYPqrXMNuur7rx+Kr3hHkP4UCNNI6dS1Vp+G9oh+0bJ7i2Tw68VnkpxPTlkqjqdAEjULpEumU\nINJSY7NObfTHZ/hlJxWc+O7v/XfWyY9gFGSU4NFZIvL+q/cP0ACgbcBZ8fOs96+PIJ8O3SRE\n2rT+zNdj5g/SN+N272u2/sxCrpHm2+hMQtxsS8Td+CMr/zyx9lJbt/gsehm38/Qefc1JUomV\n6QwaYddBieArEdLJSBOepRRllcpXY8kPIn/ydGYE+a91pABdVFS0dOlSS0tLFotlZ2fn5+cn\nFL5XsEA+jrqW6qqjs88m7N1z49tbpx4v77dzjefeJU4/4Hmf23Hj10c7ph67dz701m+Pvxm0\nRzpZqEQPJ3OvZS2bV3V3NJM+u2CXz9qT81lsJgCw2IxlfjNMexJHt3H8BgGhpLG+lZR4HF11\n6W1i6Aza8Jn9238XCKJwJML+ckqrtLTUxcUlKyvLy8vLysrqyZMnkZGRXl5e169fb/+J0dHR\nzs7OK1asOHbs2Jdpaufz67pL0onrrJ0tfn68uZ36c6w3lOW37ADrMsp+55VVrdZMj8/JfJ1n\n2tOwW2+TkKtREfdeMVVVRs31wNP2CwWi0rxyrqGmZAKfvOigxG2Tj0gOjaz0TkXtbHW4vKGW\nF+B3Nz4kWYPLnvzNCJRADlF+HWYMevv27ZmZmadPn164cCEAYBjm4+Nz7dq1oKCgESNGKLp1\nnVxSZLr0YUpslpAvbCtoikXiqlKZ8eLywqq2rmzpYCJJWjTIx2WQj4v0WSqNom9OTKNB4DSi\n13K/GZcOBFaX1dq4dVt1ZHZbNzOZaoy5273bvxqCKJUOM8RRXl5ub2+/YMEC/JBEIk2ZMgUA\noqKiFNquLkHbQCabD0eH3U6Xlkwh93SRmejWy93qv2oZAACMXzzk79SfbpSeOHB3vfw8PwTp\nuDpMgL506VJ8fLz03fnY2FgAMDc3V1ibuoyp346Snrvm+64ZxN/8Msekhz7+2MHDes42r/+w\ncc0+bhYggiizDjPEIVFTU5Oamurv73/o0CE3NzcfH4VtjdF12Lh1+yV024O/n/N5gn7j+vTx\n7Nl+fePu+r9G7Mh5W0hn0Aws3jFGgSBIWzpegN6yZQt+u8/Q0PDcuXN0OnGlb21t7cWLFyWH\nWVntZXJA3pNpT4MP2iaKTCGjbG0I8ok6XoAeN26cp6dnQkLCwYMHnZycAgMDPT09pSuUlZUt\nWbJEQa1DEAT5bDrMNDt5ISEhgwcP7t69+5s3b8jklvFH+R703r170TQ7BEE6HKUL0Ldu3dq0\naZN0SUxMjPw4Bs7V1TUyMjIzM9PMzKzVCoDmQSMI0mEp3RBHZWVlYmKidIlYLK6vr/f392ez\n2VOnTpU+paOjAwAVFRXtBGgEQZAOSulmJs2ePRuTxWAwyGTysmXL1qxZIxa3bIwkEAji4uJo\nNJqlJdoUGUGQTkjpAnSrGAyGt7d3fn6+n58fXoJh2Pfff5+Xlzdt2jR1dXXFNg9BEOS/oHRD\nHG3x8/MLDQ3dsGHDgwcPbGxswsLCIiIibG1tjx49quimIQiC/Cc6Rg8aAIyNjaOiohYuXBgf\nH3/ixImSkpINGzaEhYVpaWkpumkIgiD/iQ7TgwYAAwOD06dPK7oVCIIgX0iH6UEjCIJ0NShA\nIwiCKCmlW6jy2V26dGnmzJkqKiosFkvRbUEQpRMREWFl9d/mg0U+Wkcag/44TCaTRqOxWCxN\nTc32a1ZWVpaXl+vp6amqqn6ZtrVDIBDk5OSoqanp6uoqui0AAHl5eXw+38LC4t1V/3voX6od\nH/ovJZ0mAVE6GNLsxx9/BIBr164puiEYhmGpqakAMGvWLEU3pImTkxONRlN0K5rs27cPAK5e\nvarohmAYhqWlpQHAzJkzFd2QJs7OzlQqVdGtQD4P9McTQRBESaEAjSAIoqRQgEYQBFFSnf8m\n4fvT19d3cnLicDiKbggAgIqKipOTk5LclAMAGxsbKlVZvi3oX6odPXv2RPf9Oo3OP80OQRCk\ng0J/aREEQZQUCtAIgiBKCgVoBEEQJYUCNIIgiJJCAVpGUVHR0qVLLS0tWSyWnZ2dn5+fUChU\nYHsKCgqWLFliYmJCp9P19fXnzJmTkZGhwPbgSktLuVzuTz/99OVfWiAQHDx4sGfPnkwm08rK\nas+ePYr9B8Ip8AORppzfFuSTKHopoxIpKSkxNzcnkUje3t7r1q1zcXEBAC8vL0W1Jy8vz8jI\nCACGDh26Zs2aMWPGAICWltbbt28V1SQMwxoaGgYPHgwABw8e/PKvPmfOHADw8PBYu3atq6sr\nAEyfPv3LN0OaYj8QCeX8tiCfCAXoFsuXLweA06dP44disXjSpEkAcP/+fYW05+uvvwaAQ4cO\nSUrOnTsHABMmTFBIezAMy8/Pd3d3x/+0f/l4dP/+fQCYM2cOfigSiaZPnw4A9+7d+8ItkVDs\nByJNCb8tyKdDAbqFr6+vvb29WCyWlPz9998AsHfvXoW0R1tbW1dXVyQSSRdaWlqqqKhIN/KL\nOXnyJIfDIZFIw4cPV0g8mjhxIgCkpaVJSjIzMwFgypQpX7glOIV/INKU7duCfBbKsjZMGVy6\ndIlQEhsbCwDm5uZfvjEikWj//v1kMpmwKozJZPL5fJFI9OXX9f3yyy86OjpXrlypqal58ODB\nF351AAgJCTEzM7O0tJSU4IfBwcFfvjGgBB+IhBJ+W5DPAv2ztaKmpiY1NdXf3//QoUNubm4+\nPj5fvg0UCmXhwoWEwuTk5KSkJAcHB4X8fzt06NCQIUNoNNr169e//KuXl5dXVFT07duXUG5h\nYfHw4cOKiop35vv+7BT7gUhTwm8L8lmgf7lWbNmy5dixYwBgaGh47tw5Op2u6BYBAIjF4lWr\nVolEotWrVyukASNHjlTI6+LKysoAQD7/hoaGBgBUVVV9+QCt2A+kfQr/tiCfBZpm14px48Zd\nuXJlx44dVVVVTk5OivoFLQ3DsOXLlwcFBY0bN27evHmKbo4CCAQCAFBRUSGU4yU8Hk8BbVJW\n6NvSaaAedCtGjx4NAD4+PkOHDh08ePCSJUvevHmjwAxhIpFo8eLFZ8+edXd39/f3J5FIimqJ\nAjGZTADg8/mE8sbGRgBQhr2vlAT6tnQmXTFA37p1a9OmTdIlMTExrY5jeHh4ODs7R0ZG5uTk\nmJmZKaQ99fX106ZNCwwMHDp06I0bN9TU1P6jZrxPYxQIH8GoqqoilOMl+EAH8oW/Lch/rSsG\n6MrKysTEROkSsVhcX1/v7+/PZrOnTp0qfUpHRwcAKioq/rsA3Wp78AcVFRVjxowJDw/39fU9\nf/78FwiU7TRGsTgcjq6urvzSuIyMDENDQ3V1dYW0Sql8+W8L8p9T9Dw/ZdHQ0ECn0w0NDaVn\nkvL5fCMjIxqNVlVVpZAm9e/fHwC+++47pZrKeu3aNVDEtN/JkycDQG5urqQkKysLFDcPWkJR\nH4g0pf22IJ8C3SRswmAwvL298/Pz/fz88BIMw77//vu8vLxp06YppIO2ZcuW58+fL1q0yM/P\nD40kAsDcuXMBYMuWLRiGAQCGYZs3bwaAJUuWKLhlSgB9WzqlrjjE0RY/P7/Q0NANGzY8ePDA\nxsYmLCwsIiLC1tb26NGjX74xhYWFx48fB4D4+HhPT0/C2Vu3bnXB4cWJEyd6eXn9+eefaWlp\nAwcODAkJef78+ezZs/GFfF0Z+rZ0VihAtzA2No6Kitq2bVtgYODjx4+NjY03bNjw/fffK6T7\n/OLFC3zGQnh4uPxZZUjhphCXL1/es2fPhQsXDh8+bGZmtnfv3rVr1yq6UYqHvi2dFdqTEEEQ\nREmhMWgEQRAlhQI0giCIkkIBGkEQREmhAI0gCKKkUIBGEARRUihAIwiCKCkUoBEEQZQUCtAI\ngiBKCgVoBEEQJYUCNIIgiJJCARpBEERJoQCNIAiipFCARhAEUVIoQCMIgigpFKCRTqu2ttbE\nxMTb21vRDUGQj4QCNNI5YRi2ZMmS3NxcRTcEQT4eCtBIJyQSiZYtW3bx4kVFNwRBPgna8grp\nbHJycubPn//w4UNFNwRBPhXqQSOdyp07d2xsbB4+fGhpabllyxZFNwdBPgkK0F3U1q1bSSTS\nunXrCOWenp4kEunWrVv44b59+0gk0rlz5xITEydNmqSlpaWhoTF8+PDo6GgAKC0tXbRokb6+\nPoPB6Nu37/Xr16UvhWFYQEDA+PHj9fX16XQ6h8Pp16/fkSNHpPcwxa9/8uTJZ8+eDRkyhM1m\n6+rqjh8/Piws7OPeV2JiYkNDw+LFi1++fGljY/NxF0EQJYECNPJuUVFRbm5uN27coFKpNTU1\nDx8+HDJkSGxsrKur6+nTp/l8PoZhsbGxkydPfvToEf4UDMN8fX2nT58eGBjIZDJtbW1JJFJ4\nePiaNWvmzp1LuH5wcPCQIUOio6P79++vo6MTGBjo4eHxcSPI/fr1i4uLO3XqFJvN/tS3jSCK\nhgI08m7Hjx/v06dPWlpacXFxdna2lZVVTU3NgAEDVFRUoqOjy8vLi4qKhg0bhmHY0aNH8acE\nBAQEBARoa2tHRkZmZGS8fPmytLT0p59+AoCLFy9mZGRIX//y5cuurq7p6en37t1LTEw8ceKE\nSCRatGhRXl7ehzZ14MCBdnZ2n+VdI4jCoQCNvBuDwbhy5YqFhQUAGBsbL1++HAAaGhoCAgL6\n9u0LABwO54cffgCA+Ph4/ClBQUEkEmnr1q3Ozs54CYVCWbt2bffu3QHgzZs30tdXVVX9559/\nuFwufrhs2bIZM2bU19f/8ssvX+gdIohSQgEaeTdXV1d9fX3JoaWlJQCYmZnZ29tLCo2NjQGg\npqYGPzx9+nR9fT0eyiXEYrGOjg4A8Hg86fIJEyYYGBhIl3z11VcAcPv27c/7RhCkY0HT7JB3\nMzExkT5UUVEBAF1dXelCOp0OABiGSUoYDEZtbe3Tp0+Tk5NTU1MTExOjoqIqKioAQCwWSz/X\n0dGR8Iq2trYAkJqa+jnfBoJ0NChAI++mqqoqX0gmt/fzSywW79mz59ChQ5WVlXgJg8EYMGBA\nampqVlYWobKGhkarr9jQ0CAQCGg02sc3HUE6MhSguzTpDi+urq5OvhqJRPrQK2/atOngwYN0\nOn3VqlX9+vWzs7OzsbGh0WiDBw+WD9D19fWEkqqqKgBQV1dH0RnpylCA7qKoVCrIjQUDwEdM\nnJDX0NBw7NgxAAgICPDy8pI+VVhYKF//9evXhBL8ZiOayIx0cegmYReFT5lITEyULgwLCyso\nKPj0ixcWFjY0NADAwIEDpctjY2Pfvn0LANJrVQDg+vXr1dXV0iVnz54FAEJwR5CuBgXoLsrd\n3R0Anj59eubMGbwkNDR0xowZ7Y8svycDAwMWiwUAJ0+elBRGRkb6+Pjgjwk999LSUl9fX/z+\noUgk2rFj3Y+edwAAAY5JREFUx82bN3V1dZctW/bpjUGQjgsF6C7KyclpwoQJGIZ9/fXXXC5X\nT0/Pw8ODTqcvWLDg0y/OYDA2btwIAFu3bu3Zs+eYMWPs7OxcXV0LCwvd3NwAICcnR7q+tbX1\n/fv3jY2NXVxcDA0Nd+7cyWaz/f39ORzOpzcGQTouFKC7rn/++Wf37t3W1ta1tbU0Gm3lypXh\n4eHa2tqf5eI//PCDv7+/m5tbcXHxo0eP6uvrFyxYEBsbu337dgC4evWqdGVPT8/79+87Ojom\nJiZSqdR58+ZFR0cPGTLks7QEQToukvx9fAT5Yvbt27d58+YlS5ZID4YgCIJDPWgEQRAlhQI0\ngiCIkkLzoBGlFh0dfeHChfepuXr1ajydE4J0GihAI0rtzZs3R44ceZ+aU6ZMQQEa6WTQTUIE\nQRAlhcagEQRBlBQK0AiCIEoKBWgEQRAlhQI0giCIkkIBGkEQREmhAI0gCKKkUIBGEARRUihA\nIwiCKCkUoBEEQZQUCtAIgiBKCgVoBEEQJYUCNIIgiJL6fxy9x/U1yF8wAAAAAElFTkSuQmCC\n", "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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WW199wA3FNEusbxySef9O3b9/Dhw6NHj7Ydu3LlSiJasGABOyiVShcvXkxEa9as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\nQmCC", "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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IAQkpeXZ2RkRBcWFRXJryaclJS0dOnS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\nuwAAAABJRU5ErkJggg==", "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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\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 0.7638972 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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SPT0tK08A3VAQENAFpw4cIFhmEWLlzY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Pv6+uwqPT09RDRjxgykM3gmBLRH8/b2JodzwUTkwo0T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\nSUVORK5CYII=", "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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o4Uahvv3Ml9801jYyMRORw82Gv5cs8BA4Rak1Z786236vPyiMjBySl40SLl8OHi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\nZggOAGCG4AAAZv8PyK4QC9bQlWEAAAAASUVORK5CYII=", "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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q4OaBqBqEx+b0UBCIuBp9sYkSGEGgcm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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$points)\n", " return(fm_Scasat)\n", "}" ] }, { "cell_type": "code", "execution_count": 100, "metadata": {}, "outputs": [], "source": [ "start_time <- Sys.time()" ] }, { "cell_type": "code", "execution_count": 101, "metadata": {}, "outputs": [], "source": [ "fm_Scasat <- run_Scasat(se)" ] }, { "cell_type": "code", "execution_count": 102, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Time difference of 0.1734026 mins" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "end_time <- Sys.time()\n", "tol_time <- difftime(end_time, start_time, units = \"mins\")\n", "tol_time\n", "running_time <- c(running_time, Scasat=tol_time)" ] }, { "cell_type": "code", "execution_count": 103, "metadata": {}, "outputs": [], "source": [ "df_umap_Scasat <- run_umap(fm_Scasat)" ] }, { "cell_type": "code", "execution_count": 104, "metadata": {}, "outputs": [ { "data": { "image/png": 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WfPnhFR8+bNCwoKTp482a1bN3k6E1Hv3r0HDhwYERGRnJxc95orhIAGAE2ysRI9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\nXNd78TiymkSDIiMjO3f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BISsnDhQsWW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\nAAAASUVORK5CYII=", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "p_Scasat <- plot_umap(df_umap_Scasat,labels = labels,colormap = colormap,title='Scasat')\n", "p_Scasat" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### BROCKMAN" ] }, { "cell_type": "code", "execution_count": 105, "metadata": {}, "outputs": [], "source": [ "run_BROCKMAN_preprocess <- function(se,file_path){\n", " peaks = rowRanges(se)\n", " binary_mat = as.matrix((assays(se)$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": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`bsub < get_gapped_kmers.sh`" ] }, { "cell_type": "code", "execution_count": 109, "metadata": {}, "outputs": [], "source": [ "start_time <- Sys.time()" ] }, { "cell_type": "code", "execution_count": 110, "metadata": { "scrolled": 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": 111, "metadata": {}, "outputs": [ { "data": { "image/png": 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6tUKusr2LAjAO1SK93iGDduXGOT2LFSpVJpUu7u7k5E1dXV7PlP1lTw8PDgC9Vq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\nB5qreWnwDkW2AAAAAElFTkSuQmCC", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "p_elbow_BROCKMAN <- elbow_plot(mat_BROCKMAN,num_pcs = 30, title = 'PCA on BROCKMAN')\n", "p_elbow_BROCKMAN" ] }, { "cell_type": "code", "execution_count": 112, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Scaling data\n", "Doing PCA\n", "Using 10 PCs\n", "Doing tSNE\n", "sigma summary: Min. : 0.39102977572171 |1st Qu. : 0.4939669314596 |Median : 0.524323834128229 |Mean : 0.524540111019978 |3rd Qu. : 0.55445100099138 |Max. : 0.675592271683026 |\n", "Epoch: Iteration #100 error is: 14.7080469013416\n", "Epoch: Iteration #200 error is: 1.17454356792521\n", "Epoch: Iteration #300 error is: 1.05429737169033\n", "Epoch: Iteration #400 error is: 1.00865438017796\n", "Epoch: Iteration #500 error is: 0.992222841065333\n", "Epoch: Iteration #600 error is: 0.98405481866151\n", "Epoch: Iteration #700 error is: 0.978909512283592\n", "Epoch: Iteration #800 error is: 0.975585135678229\n", "Epoch: Iteration #900 error is: 0.973273841421706\n", "Epoch: Iteration #1000 error is: 0.971563163939938\n" ] } ], "source": [ "fm_BROCKMAN = run_BROCKMAN(mat_BROCKMAN,num_pcs=10)" ] }, { "cell_type": "code", "execution_count": 113, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Time difference of 12.58255 mins" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "end_time <- Sys.time()\n", "tol_time <- difftime(end_time, start_time, units = \"mins\")\n", "tol_time\n", "running_time <- c(running_time, BROCKMAN=tol_time)" ] }, { "cell_type": "code", "execution_count": 114, "metadata": {}, "outputs": [], "source": [ "df_umap_BROCKMAN <- run_umap(fm_BROCKMAN)" ] }, { "cell_type": "code", "execution_count": 115, "metadata": {}, "outputs": [ { "data": { "image/png": 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Qt1qt+oTUsFRQIAmgsJWiHYbE7tK7NY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\npaSkREdHV1RU9O3bd8eOHVLPGjx4MJfLvXv37rhx49RhXIPc7qC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IOHny5JIlS/bu3ctisYRC4TfffENE06dPl6VZO1tpd98clrOb1Xhv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\nBAQoFIrFixdXVFRYbkoQhLKyspSUl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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": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 116, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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3XNHiAeHfUXi3tGaB1kQ+A1AmF2fnoQ8P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\n7nJZyUv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v89YdyaGtPB+977LLerXw93W190kB1F1huuxbXubp3aJc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xakpKQsWrTo9F205lheyc7MLp++8cm3unEyhBBCyL9bVbH+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J/eP70cY1Qsg5gGFZhY8GPhqfyJD6ksqOhxsH\nJNE3VUIIIcQ7Q2X790qr8itn3DPp9pdnNbX8+U9OG/25YB+3eo0mm9vTpQZ8uxO9QtE7DME+\nHZmkVGzYxkXUy2SyKf35pLCG1uS4577ae8/NQ5wLX4SQc8WIR289+M3yzp/HdKaUYoN1j7w0\nZ+O3nb8WIaRzKICD9IzMTUctLl80rWZb5qYjF88ZczqulVFq+utkrZ+Su7Z/ULDmrP7/fFl+\nVU5WYWhMUMdv3DpsPMNApjirXxchAA4cOJCWlrZ27drTehW7IM359YT3L559IxDiB0Fyi95w\n1ScM/mr8nAEAm49j2gDIOACwOrD9ZFOv9z7b+8SDF4QEaX778/gLvxQ0tR+VBTFADF/rXPTu\ncl2V4GjdxFkj5zw5vasDEELIeeT1hRMT4wLe/Gh3flHjIqnoLSyj1tocveHUevQGA2mUraSY\n88mTBbi2yyAKYCSXN3iN5DAzzeVadKJNBhHAfenPv/nP4xSHRwg5h0z99MUV8x41V+kBKHy0\n9npTG51lKuXYZ+4/U1MjhBBCzg1VxfrKYn1Mn/D1S3d6PJUtD5FBTHLUyJrvlUq/f7Du0M6T\nbHSEsnf86BExq9aeROt8Nx8zDIlHpD8A8AKyWuxcqrNibwFMNlzcr/25WhxYfbCekUMlb47e\nACBjxT7hJ3L1FMBByLml9mQBp1IKVlu7PWUqZciAPmV7syVBaD96w1t4d1X2CWtNrSrQv6uT\nJYR0CN30JT1DqZZ7tMiVni3d4rN9lbeuaCjmt3BD8a5b+yfqlG2f0lN+e3/t508t4+08gLFX\nDXvsi9sYtq1bwPUG89v3LNm+cj/DYOxVw+5/d65Kc5a+NELKysoqKysvv/zy032hRTtKHULr\nT7sm1fBQUIOMfJjt0ChgtqNIj293ISEIEnC8HFa+qSPPi9t2FY8fHXvnnb8EG+tMsoZvqwLD\nZMuDOYhRvPFUXsKjn96aOib5VEYghJDzh1zOPnD7sBtnD4gd9IHRZAcAoxVltQjQYkcOCmqg\nkiEtBsE+jASp9S9WWok3MTIALKSBjgo/0cZKYlMAR7hg6ueoVEoCwFRzqgxFhACGgxgrGC3g\nCmV+IhidaB1or3D2FxzC+w99++b6x0/3yyeEkO4SMWLgzft+qzx4XOGrNZVXLbv6Po8Ol336\nQtTowTl/bhIFIeHidL+Y8B6ZJyGEEHJ2+vjRpcs//AeAXCFz2HmPZ82MvIpTyyUxkdc3tjGi\nJB3bk4s9uTmyQy/L28lLbcirUZTUpt83dntmmWVPvmumWDflRggiWKY53WxLJjtKDLDxAKD0\nvD3EahR9e1GSbELOMWvuf64j0RtByfGD7rw264tlktDGAroLb28knFym8G19jZ0Q0k0ogIP0\njEEXpgRFBFQ3boUMiggYOql/t19FAh5dW9h0WG3hX9pS8snlCU0tZXmVVSWGhP5RWv8uhhWX\n5FRs+32fJEljrhgSmRTa5alWFesXP/Zj0+HmZXvGXDF43NXD2zhl8WM/bP19r/Pxhh93+Qf5\n3PHqtV2eACGn1YEDBwCkpaWd7gt9lVndldPK67DyQPNubI0CWiUqjcgq9tr9wf+tm3t13xR9\nAc+w+bLmcGNWknSCtSsTcCFKrW4KJ4QQ4lWAv3Lc6JiVa04CgASsOgiNHFUmAKgD1hyKjpGb\n5A497z1cWA5hrDVfAlPHKPcpwlQiD0ArOeSS6GBYreRIc5SzknNjihQkWC605JtYmUYSFBIP\nIMVRLQAy950rRcfLTucrJoSQ7idTqyKGDwAQ1Dfx8q9f2/POkuojOaKD9wkLvmjR4zHjhwMY\ncOOVPT1NQggh5KyzY1WmM3oDQMvoDRvDGTgVIEUL3kurxPO1NkZWwPmJbURdAHa7MNxunTYu\n6tWswkqOEYSGHyCBOpVq6sCS45XQKtE7FBwLK4+NRzHZfbHdLsBggoVHiBZFNQj2gYJDVKDH\nVeaOjNAFqDr80gkhPc9Sbagr7NASRF1R2bqHX+7CJVwzccReOJKV051lQk47+mdGeoavTvvS\nyv98/fzvBUdK41Ii5/zvcl9d90ftGax8jcXtS/MJfUMcoiRJb929ZM03WwGofVQPvj9v7FXD\nOjv+gS3HFlz5tt3qAPDNC78/8/P9gyb07dpU8w+VeLSczCx0BnAUHivb/sd+hkH6jKERCSFN\nHfasyXbtv/vvg3e82rWLE3LaZWVlAairq5s8efKuXbsYhpk4ceILL7zQp0+f7r1Qna1j4cNw\n/+J5osItl77ZjquG4I/M1jY05BXVvvrWlvEQ1SKfaq88ogjiwcoh9nNUaSTHKUwfADR+6lMc\ngRBCzjfHc/QN0RtOZjvMdtcOlvy6etZtFZKVIDZ+CvS11zAAAylAsvbia3YrInSSTS7xcklw\nMGygaGmM3mggh9iaYjoAACAASURBVBAgNn/cMJBa/qYKjfFcCSWEkHNI0pRxSVPG9fQsCCGE\nkHPD4R1eqp84wMog1bLKQ/JgHoxcEhWS9zUrFlKKoyqeNxySB1dwba2QZx2q+HNdTvOxSoZB\nMb4XxMt9VQhwOdHmwPEKDIlFiG9DiyRhXwF25wGAVonpaQjUAp71EyK18i/vHdzu6yWEnFVU\nOj+Fr9ZubKsGopPD0t7OQ281U+DSxsq4CS8+3MkJEkK6ggI4SI+JTg5//KvbT+sldCpZrL+i\noLZ5BX9QWEOmjQ0/7nJGbwCw1FvfvOurIZP6azt533TJs785ozcA2G38V8/8OmiCW67sVccN\n/+TVhWjkNw0KDtW2VSMmPCHYa0vG2uxnr33fYeMBfPviiud/e7CptoLGR2WoaA7c1vhScDQ5\nezkzcCxYsGDMmDFTpkzZv3//L7/8snbt2g0bNgwaNMi1pyRJBoOh6bC2trZTFxod7fPz4ZqO\n9ORYRqtk66wCAAgtCv7xPIxt5Z1TSBIniQBihLooi9HKyNQSz7RbOLAD3rz9i/e2P8W0ueuC\nEEKIq/LKdtYpDIxKcFmECBQtabbKKk7NM0ywaPERm78rxgjGKMFkZTgJ0EgOM6Ng0enESCzH\n3vf23M6eRQghhBBCCDkXsd6qYO9VhtewzUvNDoa1M1xrMRwSIILp7ajWsyoHw7V2IYPJZanK\nR4X0XkgMzncANe43ZQ8UAYDeDD8VnFXL7SJGJsDiQLgfIgPg17iM7D5xrbLVSxNCzloMy45+\n/I4NTyzqjrEAQKZS8q0UZBn16K3+8VHdcCFCSHvYnp4AIafX4mkJfo1fPVND1U+Oi3Q+PpaR\n69rNarblZXuvldCGsvyqpscMkHOg6PCu5iDoJ9cXTf3+2Bvbyx5bV9j/wwOFdXZvYzSI6hU2\n+cb0psOE1OiJs0cBWPLcb87oDQB2q+Pr55c39Zk8P911hEvnj+3s/Ak5YwwGg0aj+eOPP7Zs\n2fLdd99lZ2c/88wztbW18+fP9+hpNBoDXQwZMqRTF/rmqiQF16GPtjcnx84d0Bg4legeQRWo\nQXaZW06OFlx/crOQNJKjW6I3AORmF+9Yub9bhiKEkPPEwH4hfr5K1xa15JaDTXCPiuMkSQVH\ntFAXz9e6Rm8AsDPcTmXERlXsJlXsNmU0B9FjqHYNmdjv0/3P9x2R2MkXQQghhBBCCDknjZne\n/uIVAwit3IuxMrJNythNqtgtqlh564tLur6hx3T+CPNrGKbeitUH8eMe2Fx+sEgSNhxDZhFY\nIDqwIXoDgJIDL2BsMvqGN0dvtBDjr7j9j9wn/ily3Q9JCDn7pd54JSvrtgAs3moLSIwOTvGy\nrHFi5ca6fM9c8oSQ04EycJB/uclJ/ifuS9ucb/RXcePjfGWNAdFBkTqPnkGRAZ0dPGlATHVJ\nQ6oACXDYHA9f9PKrq/+bOibZ7BBf3lLa1LPKzL+9s+z1i2PbGO2B9+ZdMG3Q0T25YXHBE2aO\nUKjkAMrzqlz7HNubt/yDdVNuHqdQya95YLJPgGbzsj0My06cPfKi6y/o7PwJOWN+++03SZKa\nskowDLNgwYKffvopMzMzOzu7f//mqpwymWzSpElNhxaLZevWrR2/kJJjcu8fOOST7PL6dkqZ\n3P9ttn9uFcx2JIYiWoeJfbE7F/V2aJQA07BZoXV1nEIAw3VT0IaHXX8fuGAapawkhJCO8vNV\nfvPBtJvuX1WttwBSPF8Xxxu2KGMExnOFlIMYKphDRHNrQ+VyAYbGYit1rPKQPHiIvUOlZJ10\nYX7P/HI/J6MoeUIIIYQQQs4XSYNi5Uq5w+a2EhUhmFwzcETyRgW8p9/YrYwwMw2RFmZGxkqS\n2CItq/yCRP3QOKw9jPI6tyeq6rE3HxckNRwyDPQmsCwGRkPjng1alKBoK9trgIr7J7fun1wA\n+GB3+d7bUxN1yjb6E0LOHuayKpHvcGHxDjDkFAXERyoD/GwGt/eciswjP1919/wdP7NyurlM\nyOlF/8bIv1+IRnZVilu4xr5/Dh3ZlaNQy+2Whi/WE68bFR7nWcTE6eDW4ys/3WCptw27JHXK\nTeNcV+RvfWlmzsGiqmI9XBLOrVi8PnVMconRLriXS8/vQOTyiEsHjrh0oGtLUlrsvvWHmw5t\nZvvH//fDzj8zX1j+EMMyU24aN+UmqkxMzg0eNUEYhhkxYsTBgwdzc3NdAzg0Gs2aNWuaDnNy\ncpKSktAZkb6K6/oHvbWzlfttzkp+JbVYvr/WmWMjqxgT+4AXYXZAkmCywsoiWgeWQVkd7DwA\nlmVE0e1ftANcpk/kMKlaNFkZjtHqfOurmr/OinI56+A9S4l2GCtS/RRCCOmcyyf3Ksy8e/3W\ngkdu/ia+pqqSU7eM3lBKwgX2YpXIG1lFLav0Fe1sizfqPny1r2Q3sEo7w1WwWtcl13b5Bfn8\n3xe3UfQGIYQQQggh5xWGYS6dn77i4/WNq04AEMvXCWAKZH4imCDBwjBMljxksL3c41yWZesZ\n90gLBhwkZwlIpVJms/FQyhyD42Cx44i3xa4q94KSw+Oh08LBQ5LguhbXZmXI1BBVdmVzHZZa\nm/DBnvK29yISQs4evjHh6iCdpVrfjWMa8rxn2qjLL93z3tcjHrqpG69FCGmJlhfJeWf7H/v/\nN/2tbSv2OaM3+o5IfOSTmx/+yPvnTdbmo49e+trGn3fvWp31wX+++/SJH12fjU4Of3vzEx63\npeuq6wEk6JRBarcAqRGRWgC8nV/1+aYPH/l++Yf/2Mzth3Tc/srslqlB9m84cmxfXrvnEnKW\n4Hn+0KFD2dnZHu0OhwOAWt2Je2MdsbnA2Gr0Bhp/R+vUCPZpbjTx2HS8oWaKjxLXjcCMQbgi\nDXNGItQXgEf0BgAoZfr5F62+7botN1215u65lY/N5Vzy1LEOh4CuB2H0GUmJ9wkhpNPUKtll\nFyUuX3mLTCkTW/zMieHrBtnLWEncpozaqozepozeoooxeSyVAgAiBWM/R9Uge/kYW6EW7eRz\nauIToFly+JWBY/uc6ssghBBCCCGEnFNOZhbs+fsgAIBh2KblICmBN4yzFogMWyzzLeJ8KsPD\nTozxLLZy+f2XwH0FiZWkCdb8obbSAQqjzVkexVcFFrC08tskwH1hLVoHrQJ+Khx0uflq5+P3\nHPB+uiACmJcW4rHyVVzX0Z9ChJAex7DsJe8tUPr6eLSrg/zVQZ1OPN+u/Z/81O1jEkI8UAAH\n6ZCqYv3W3/ce3HZckk5LvYAzacXH/7geVhbWTLx2lMt3azc/vvGX6+GfX2zmHW6pqHQh/r2H\nxLu2pI3vC4BjmK9mJAaoGm7oXpLkf//IcFEQn7zy7fce+GbFx+s/fnTpI5e86rC1U1U9LiVy\n8d7nLrrOszxKTWlt2ycScvYwGo2pqalTpkxxbRQEYefOnTKZbNCgQd17uX1lrSbGbyACagUm\npTQcMoCvovnZCxKbf/pqFBjf2/N059tFcqhdrRDknDE40KFS7D5cLrjnqTOxXm4KdgTLsRdM\n6+a/CSGEnD+SU6MunDVSJ1rlLgmKWUmK52sDRetRWVAd25AH2MTIs+UhbQyllRyp9ooOXlep\nUijUXXznJ4QQQgghhJy7Xp7/SWlupfOx5L4FiAHgXE5XylQTkiIPHnf2aurw9MdZMo5BYggm\n9sW43gj28dMwCkkIFc1mR2O3WgsEEQEaaBTwoFVisLc8GSyLEB/szMXRMhwr7/f7ppTtGf3W\nbefsPADwLuk4OBaiZOaFUK3bz5kxsZ53ggkhZ7OEi8fclLFsxH9ulqkaFj2iLhh8S+aKWw+s\nGH7/3O69lqVKL9gpxouQ04tKqJD2rf9h59v3LXHmq0gdnfz88gcVKnlddf0fn2yoLKxJHhp/\nydwxMjnX7jinMoGvn/+9qrim7/DEuxddH98/6lRGq6txSytn1JskUfIawHF8b/7+9W45Axw2\n3maxy+Rucc3/WXzTK/MX5xwoYhhmwqwR1zxwibN9anJAzv1pGSXmEK0sLUwDIGvzsaxNR5tO\nPJlZsGNV5tgrh7Y9YbVWOemGC9Z9v72pRaGSe0SNEHI20+l0EydOXLdu3fvvv3/PPfc4G196\n6aVjx47NmzcvKCioey8X79/i12wToxX/HEWJHnIZBsdCrYDFDpaFn8s/6hBft1NCfMAwcI1d\nEyUArI/SLfdki0T9elallRyc1FqGSgmtpOjoOyzRV6dt9SUQQghpT05WoUIShtjKD8mDjaxC\nLTlSHDU+kh2AgVO59jRw7RR19hXbz5fmVF1msNRb1T6q9rsSQgghhBBC/i1KcyqLTzQXRmlc\n7mn4bxs4O8MBUIdp+27N0NQaATStCOXK/MuhRlosRjemYh0YVcMLGfm9ei/flB8SjgozADgE\nbDqOccmY3B9rDqHeBoZBqC/6hqN3GJSt3OIJ90e4v/Ph4eTQ8sIU085C4dPNUCpgsaNvePPW\nJpZZuL74g2kJCzcUV5gcAGb3D7xzaGg3/pUIIWeAKtB/9BN3DLptZllGtjooIGJYqrOOkq53\nQvdeKDgliVPQDhZCTi8K4CDtcNj4d+//xt6You3gtuMrPl5/ybwx96U/X1lUA+CvJVv2/H1w\nwfd3eVQS6S6Hd5587dbPmq6+cNZ7izOeVai6/vGQNr5vTlZh0+HAcX1aS7/xx+L1HnUTkgfH\naf08yz3E9A5/b9tTlUU1Gl+V1l/j+pROJZuU6Nd0WFXsWYSsqqimg3O+9tGpPy36U+BFtY/q\nnkXXt6yrQsjZ7N133x0zZsy99967atWqlJSUXbt2bd68OSUlZdGiRd1+rcuSAwJUnMEqeHlu\ndTbK6wBAcGD7yYZSoDIW+dWICkCxAQDqrAh0iZ+w8fCWeUgsNmBY86EQ7B+fFpuXWdDUUsr5\n+Ir2QMnSyjS9v+2wLHvfu3PaenmEEELa4wwsDhQt6bZCEQzrsr9NJfImrvlrpEry9mHRUW6h\neLowP4reIIQQQggh5LxiMdkWznzPtYVx/+8SecM2IRtY//Iq1542mfyIPBgAhsS4DSrjKpJi\nK/sPkmwCQlhU1gPAkTJE65AcirmjUGuBWg51q/uXFGarymgy6/z4xjusEsNUMyqUmwDAYm8Y\nMDWyKcIDDLP6uCH3/rTsSkuIRhYf0E6kOyHkrKUJCUy8dKxrS9yEkUo/H1tdfes7CjuAaUge\npA7STXzjsVOdJSGkPRTAQdpRklNhNdtcW07sy5cpZJUukQc7Vu4vOFwS16+txBg2s91UZwkM\n9y85WbFjZSYn59KnD+lIFMLOP7NcDysKqnMOFPYdntha/3bNffKK0pzKHSv3A+g7PPG+t1u9\nV2qoMnq03Pn6ta11DokObPfSyS3SZvQZ3tHgx3kLpk+/a2JlYU1UclhlkX7Jc8tFQUyfPqTX\n4LgOjkBID0pJScnIyFi4cOFff/21Zs2ayMjIhx9+eMGCBf7+/u2f3Bk8L7763k7dsoO1tTap\nVyiGxIFr/FpqtjdEbzTRqVFjho1HRj7kHEbEw+qAXXD7Lmt0ewNsVqjH3nwMiQPgo+Devyyu\nmBu7PXu5TrDaIMuV++tZVY7cX2ezNI7U/hfkyMTQhz+5OS4lsmuvnRBCiNPUW8Yf3ZPrfOwa\nvQEgiddXc83BuL14z+Dazmh+V5cpZLe9NOsUhiKEEEIIIYSce755fnnhsdI2OvCNvxqUpdU2\njVpZ31z218pwAMCx8LaRnQnykXbkYlCMfFSiw2xHmF/DdiOOdT5QcOzrF0Y88H6GFOHvmlm2\nz6bdCbuzGFHiFfLsi9NL+iU1DGgwS4NjERMAK4/MIpTXodrUHMABrDhuWJtbe0VvXRf/FoSQ\ns5U2PHjG0jc3LXynfP8RsaulT0Y/dmfEyIGCzR4xfIDSj0osEXLaUQAHaUdobBDLMaLQvPad\nd7g4LM6z5EF1aW1rARySKH3436WrPtsoCmJoTFBNuYG3CwCWPPPry6seSR7STvyBvEUWOJn8\nlP5/q9Ion1p6t1Fv4u2CLsyvjZ4D0nvv/utA02FcSuSpBI4AiOkdftuLM79Y+Ctv5wFc+9/L\n+o3q1fHT/YN9/YN9MzceWXDVO84Rfnzjz/99c+eY6UNOZVaEnBkJCQlfffXV6b7KS2/veOqV\nzQ0H1bkQJYxsDJPi2KZI4Qa1LukxHAJqrbg4BR4OlXg0aCRHX0e1v2izbCh++uY+uqGJKcHq\nkgJDyqIdkIeh8Uf3UEdZCG92CdloJ3rjia/vSJ/RTkElQgghHTFpzuiayrqf3lhtNlo8SlAH\niZZ0W1Ex5yOBCRfqdaLlFLafNAgI8Xt51cOxfSNOcRxCCCGEEELIOWTX3tKNf2S13SeOrzsh\nC+QYpJgq5O4/PUySXAaRF4AqI0J9PU6U6evtwACZtPvDydf/dnLZYc/Q8ym9/JUq+d2DQ9/f\nV4GqetRZoTcFl1cmFjbU75bZHal/b6qOi7Rp1QCkpBBoGpN2JIVg2T4EuRXwlSRcv+zkkbsH\nRvu1XpuYEHJuihgxcPaqTwFUZR//9sJ5ktha1W/vZvzwVvxFF5yeqRFCvGN7egLkbKfWKhNT\nY11bCo6UJqa5JXZTahRJ7i2uVn2+6Y/F60VBBFBRWO2M3gBgMdmWPP9buxNInzFUoW4OQ04c\nGJOQGt2pl+CVr07bdvQGgBn3TJowc4TzcVSvsP9+duupX/fK+y7+6tDLr/z5yJIjr8x7akYX\nRvj+lZXO6A2nb15cceqzIuRf4/tfD7kdH2uuQgqlDPHBbs8K7rVRjFYvIx4qcz3igOG20jDB\npJL4AMH68W2LI031fkpuT2aZXBJjBGMcX6uRHAC0MeGtVGfyFBobtPCneyl6gxBCutGshy79\nqeitP/QfTbx2lGu7BPiKtr6O6hRHlU60nnr0BoCLrhtF0RuEEEIIIYScPyQJs29bPvLSJccK\n69vuqYDwxtMTtiybHc1Z1XXOzky+zH+bMjqX84/g6xlIgSeLFBa3JSm/sip7r3DMHPrBR1co\nFey3VyXNH+S2osWI4vKj+jv+yHvfzDLBvlh1EFtOILtUV+NWrZtzCH5NdVs0LmEZHIvRSa7p\nN5xMdnHVCUMn/hCEkHMNw7Kdjd4Ydv88it4g5MyjDBykfRGJwScy85sOJVFKHd17xj2Tfnt/\nLQCNr+ret+f4B3uGCTfJ3HiktadKT1a2e/W4lMjnlj2w9NWVlUX6lBGJ856awcnOROBReaVp\n0/bCATdMvPH5a3izLSIhhOW657q6ML92Y0faUFHo8kWcYTLU/vOX5wSoZHcNC+0TRJXXyfmO\n592/gLpvvMbFKdidh0I9VHIMjMbmY24VUsJavI9tOwH3b7RRal5jaUg0xwA2s33Hyv0xvS/V\nivbxtny5JAIQeWafIqyuoD5AIXPYHG0XTwmNDVq07rHAFr+ZCSGEnDqGZR755ObrHp9257Cn\nBIeIbonXaGHqbeNPw6iEEEIIIYSQs9Svq479uPwIgHyZX7BgbqOnOiTgP/eMBBAaG1x8ohxA\nnszvsDwYgBxitGCcZM2TbcmRtm0z6fwrEmOOjx0mMQzqbbCz6UkBa3Pr7l6Vz7GYOzBYzjIO\nQQTDsDwvyppv60hBWvgoUW/D8HibwoK1buvtNq0GACsIIse5zSwqQMExGjlnsPKuzQ6PzU6E\nkH+XgKQYhY/GXt/WG1cTbUjQ5I+ejh0/8nTPihDSEgVwkPYNuyR1868ZTYdJabGB4f63vzzr\n6gcuqSrWx/SJ0Pi2FTfgE6Bp7amEAR3KpTEgvfeA9N4dn/CpW7Mx7+qbfjXW2wHEDo2edd/o\niKqKGwYEhWnlooRlh2uOVFsHhqov76Nr7TbA1sL6ZzcV5xlswyK0L14UHeev7K659RkWX5bX\n8EX8yPgRucMH7M6sAvDJ3oodt/QbENrqX5uQ88GVl/V+9b2dzcdJIW5PK2QY01i3yOqA4Bac\nwSpko7/6RaM3lvdOOHTRKIdSiRbhyNo6z40I32dVLfvlZMDXm5zRGwBYSepvr1JAcNgkmZzj\nHUJrs5350JTrH5uq1FBqSkIIOY2iEkMvum7030u2dN+QDZF5cqXs1hdmhseHtHsCIYQQQggh\n5F8jM7vC+aCC1e5URkYLxiQfyWrwyMYhAcwJvXTzPSura838yYZTSriG7UNptvIQseEeKiNK\nPtUGn2qDzdenZGCfutXHAGz558iWZQdxeRo4Zn9ZgV+FUfl3Jn9hH2tUix8g0wYiqwgjE0pt\ntsRdWY2pPlCZEF0XGgggbm92RVKsKTDAdXYyOz9dtHxl5aBqyH6tlrGX9grwHJwQ8i/CKRST\n3nzi7/uf5y1WAAzHsXIOoiTYHa7dfCJCU+dOH3zHbKV/qzu3CSGnFQVwkPZNumF0aW7Vb++t\ntVns/S/o9eCHNzrbgyICgiLa/0o35aZx/yzdYbc6PNqDI3U3P3d190+3O9z5yF/O6A2kRhVc\nkPz6nkoAz28q2XFLv/tW5/99stbZ7aoU3c8zk1vGcByrtk7+5ojJITof7ysz77sjVcl1z57P\nW56/JvdgUcGRUlHG5Q/t39Rudojv7ipfPC2hW65CyDnq2cfG2h3Cx98dsDhE9AnDqEQA4AXI\nOM+udgFmt/clUW/eMmFClLF6wF9baqLDCgPDsb/QtYNWskcKbr/GRRm31jfYmF095nCZa14d\nldSwfaGN6I1735lz2U3jOv0KCSGEdN7dr1+3c1VmbZWxW0aTK+STbxwzZsbQuJSogBBayyCE\nEEIIIeT8khTfvCRew6prWPUVY/wyVu5z78UACHcYVy7dZeCU4yVWBgGA6IwFhxAiWlqOrKmt\ns+9qzoSNIj2OlSMlHEAdy8AqITIEAEQJroV7g30wsS8Ah1K5dd6VcfuyNbVGQ3hI0cA+YBgA\nuqLyqOzjmVMnGkN0jCjF7c0uGZBsVii/qhdQbYRaDp0WBvO0IHmSrtt2IRJCzk69r7w4asyQ\n8r2HNCGB4UP6gWF2vfnlthc+bOrgHxs5a/Wn2tCgHpwkIYQCOEj7GIaZt2D63P9d4bDxCrW8\ns6cnD4l7dfV/P/6/Hw7vPOnafvNzV0ckdGXDYv6h4u9e/qMkpzJpYMwNT1weEh3YhUHaUG+y\n5+QbAIABLkhsatdbedfoDQDLDuu3FBjHxnou3P96RO+M3nA6XGXZU2IaE+PTLdMLjtK9t+2p\nE/vzy8z8XxvdkgEsO6xfl1s3ItLn5UmdyPmxe1/pVz8cdPDiVVN7T76wE/EfGWuyv3vlj5pS\nQ8rIpJuevarb/4cgpAuUCu6NZyb+sup4YbAf4oNRYkB2Cew8pg+CJDl/tTYQWqTX4FgU6IvH\n9pY4tiSlF3bneTzf26FXSM0BGfWBAUcuHGkMDgRgDAn0K692trdVMaWRQiWfcM2IrrxCQggh\nnadQy9/f/tSDE16qKnaWouvIW7V3856eMfs/Uxj2dBRjIYQQQgghhJwDZs9Ief/zvbv2ljoP\nb75+4MyrE1sEcAAAB5GB5CfYndEbAEJFk5FVMBIAL8VK1GV61Fjdmkr1CNYi0AcsA4Zt+B2T\nV43EYM+TbTzKah0sc2LkILiXArf5aMJO5Kd/+YtNq5bb7FXxUXnDUgFAq4A2ECUGfLQRgDD1\njObAJoT0FG1oUOKlY5sOh98/T+nnc+y3taLDkTRl/LD75oBl2zidEHIGUAAH6SiGZboQveHU\ne2j8xXNGewRwsF3KSFFdavi/Ka/X1ZgAnMwsyN5+4r2tC7q3AIGPVhER5lNaXg+lDEq3fyO5\neptH5+M11pYBHA7R8/u3veWt4lMgk3N9hyf2BRKzMnNcplRt4astfI7edqDCvPf2VEUH/sJ/\nrc+9dPaPzseLl+z/6LXJd9w4qCNzOLG/4LnrP7BbHYBUXlCdf7jknc1PcjL6XCc979CxqsLC\nWhTWYl9j/gyWhQjoTQhyiaPKLkGwL1x3Y6tkKDfiWHlZUjwAaD2joJQc4JJQY9vMqYKf2vn4\n+KABgScL1c7Uc4CPv9phF2wWu9cZypWyuxdd33bxKUIIId0rMNx/6q3jvnrmV4DpcvQGgJjk\ncIreIIQQQggh5HymVHBbVsz5YfnhnDzD8MERUy5KNNVZWBkr8kLL3xoDHJX1jLwphLwXr+fB\nFcr8zIxM05jA1YkHm10t9xzgUBkOlbF+Kt8QuWQyGosNUogvjpZ5BnBUGLEiExYHAPipceUg\nuKw75Q/pH5V9gnM4lCYLgBMXDHE7NzIAGgXM9tQUqg5JyPmI4di0W65Ju+Wanp4IIaQZ3W0l\nZ8iQif3ULndDfXXageP6dmGcnX9mOaM3nIpPlB/accL5WJIkQ6VRkrwEL3fWa09fCABWHka3\niI0hERqPnmlhni0Apia7VZaJ8lUMj9Se+qxa+u6qpFh/L8Er2ZWWzHJz0yFv5396c/Vjl73x\nzKz3MtZku/Z8/f1drocvv7Ojg5feunxvY1kcBkDuwaL8wyWdmz0hp4eh1jPQSiZjwQIBLv9a\nq03IKkSvEET4IUCNMD/0CkF2KS5OQe8wUSEDgF4haIzPAACVPCcgUhuoBSCCOSELFIoNAOQW\nG5NXZVl+cLMUuVcRfkgezHOK0dOHiK2HbS1a+/glc8d040smhBDSEQPH9mm5nNr6F0cvzyhU\n8t5D47t1UoQQQgghhJBzj1zOzrmm/1OPjJlyUSKA4uPlIi96jRSXS4JOtDY9wUpSiqMygde7\nRm9YGA7ATmWklfGy4VYrOcZWHBt9cP8YW9HoH/9QHixAThVOVrp12nisIXoDQJ0F2902UtYH\nBWy8bdbWeVfuuP7yXbMvqw3zXhkh+0il13ZCCCGEnGGUgYO0T5Kkbb/vO7I7JzhSd/HcMV3b\nNR4aG/TUD/d89uTPhcfKEvpH3/bSzK6VDLeZPXe0W812ABt+3PXRo0vrqusDQv3uefP6MVcM\n8XZ2R91wTb+01JBVa3NKZPIva8VamwhgcLjmo6kJ/krZ4r0Vzm4PXxA+NMJLZMbgcM1P1/T6\n3/qiPINtRFKNBQAAIABJREFUeKT23SnxPgruVObTmpFRPifuSztaZf1kb8U7u8pdn+JdsoB8\n9N+lqz7f5Hy888+s5359YOik/s7DsgqT61llFSaPKhNeiYLY8ua0yAteOxNyhg1KDfXVKoym\n5veKa6f32aTmClxLiwZpERaAlAgMisHJSphtyKnCrKGuuxOgkGHWMGQVQW9GvRX11gqB6X3H\njNUrsjNP1glggjdkpa5frzaZN6jjLJAJDFPOaQEIAiNbsrWNGbIy2rpNCCE9IGVk0m0vzfry\nmWUOa/NSqes7slKjmHbbhF/e+RtSwzOxfSOs9bbKYr0kSWqt4q43bqCacYQQQgghhBAPYXGe\nBU3Exr2zdoYr4nxtDBcoWsMEMyBVcNoo3ujamQVjYeR1rPck0/3tlRqpITjDj7f22b0/KyAS\nfx5EuD+GxyEuCACq6t3Oqaz3GMSmVdu0anhltsNsB7Bs5bEavTVQRyljCSGEkB5GARykfe/c\n+/VfS7Y4Hy//8J93t/xP6+8l7US70sb3fWfzk//P3n0GNlW1cQB/7s0eTdO9J92LXVbZs2yk\nDEGZiqCiIPiiOEAEFEVFEQVxsWXI3nsVyi5taeneu2mbjux77/shJU3SUsosyPP7Ys6559x7\nUtuSJv/7nMdcTLu+QVw+517tBxBLhUGdW+WmFK16Z4O+s7Kk6ts3/vC57uHg3niUuAkMzRhq\nYocE2IUE2AHAZ0pdTF6NBZfVzV3MIoh1Qz1ndrBPLFW2dhCG2N/nVS9AVJB1VNCzeH+fQxIh\n9oLXwmyNAxxeUl5bx7r/RzotdWLLJeMpxzZcNAQ4unVySTDKVncLd2k6vSEvq14zd+uVI7fN\ndktx8XHwDHZ5vKeC0JMhFnH3bRo9bsa+0jIFiyRGDfFbtqx/z413QWmaMeruAyIuAIC/AwBA\nW/dGzsVjQ7gnHEmAQrm+Y/mqmDVfD7iTXHrrRp7k5g2VDnQEqTT9x7SUFFFEGes+1YA4XLab\nn+NjP0uEEEKPYtS7/Ya80fPSwVsbF+8tzS0XSgVtegaqatUW1qIO/UPa9Q2S2IhDI/y3fHVA\no9R0G9Fu4sfDCJKoktWU5MhcfB0EYnwrEyGEEEIIIWSCYZjo/TdZbJLS1d/wRvJ4oFarCVY0\nz01NsAAgC8BDJw9g1VRTPBvK+DYj4DFUOUvABkZnlDBnM4yOIABASpvUmpVWV4GbLxAEFMnh\nUBx084XWLmApAKOq1SY1ZR+IRd57IlBVo8YAB0IIIdTiMMCBHqA4R2ZIbwBAUVbp8U2XRr3b\nr4kpDMNc2H09MSbdxlk6cHJ3ifWT3D3EI9D5vdWv//TeJo1SCwA8Abe8SJ50Jd0Q6QAAjVKb\ncDHFYUKX5p/21pmk3xZsz7lb6OrnOOOrse37BxsO2QjYZluitHUUGuIRz4mOzqIdUT6fn83L\nlWs6u4p/GuTBvxew0Kq1Oq3J59aK6vq/EJYv7JmQVBZ9NQ8Agvxt164c2PSFVr+3+dKBWwCg\nVQMASO0sNCptUBeft1aMY3Px9wl6XvSOcC++M7ugqFrJZu1Mruy16W5Wpfm+KmD/oCJACjUo\ntSAVQlaZcfeR0+kHNkfNeGv3H3FuNJvgMRQXKA3UV9lx0VXr0xsMgIwUagnSkaox/P3t09YT\nf1gQQqgFcfmcXlHhvaLC7zcgfFBo+KBQ4x6JjVhiI376S0MIIYQQQgi9eA6tP/vLvG3GPVwe\nR6NW00DksCX69IZeNlvio5H7UOUagmW6ZyMjotTe2soUTt0NgSTDONA1+SwLAFARbBFTX2hW\nRbBZObIfdr/23t504LJB/yZwF284kgD6ksxsFnTyeognkCPT/zfA18bD1fIhJiKEEELo6cDP\nkNADlOaWm/WU5JQ1OtLAuGLH/rWnf47+zNL2UXZLuZ+cpALNvS39ZIWV38/8O2qOeexAJG0q\nYHHtVuG8Rafjk0oDfGxWfN4ryF28dMKvyhoVAOQmFy57be2v1xY/QgGPljUmyHpMYzU/BGJ+\nUKdWdy6nGXra9wsxPLa24l84MDEts0Kt0QX62rJYTdXfoHT09RMJxj1O3vbfnVzw2GtH6Mkj\nCCghWBG/Jyq05tv9NEteBey/Db38wVJo+hc1MAwcPZ2xfk+qvrq+mmCxgCEZhiYIABDTGn9d\n3d+9BIAtrbjIc8tnWbTXFOp/uoa91esxnhZCCCGEEEIIIYQQeo6c3HrZuMlms6ydpHE5ijSu\nlEebvStFqBiSC0AAA8AYdnTUESweQ7XSVYgYTSlLxGJoN6o6iy0BAA7QRSLLVjV1FZRpINI5\nVjRFvxZgdSTE7khGXclY8LKB8R0hUwYkAT52hj2CCSAYaLxGbJ1qJUSnA0Arf7tdvw9/4M7a\nCCGEEHoGMMCBHsAjyNl4yxIA8G3n2cT4svwK44odsoLKYxsujp0X+QSXlBiTbtzMiMsNifC1\nd7cpuRcWdvFxaNMr4H7TS2WKwa/uLCtXAkDMjYKhE3et+7CdPr2hp1KoY88kDZwc8QTX3LLm\nrZ/2/Vt/JUSncnjsyKk9RszqY3yUIMDX26o55yFZBIfLNv5m4Ak4T3itCD05Sy/k16U3GAaa\n+QfoiSRgEZAvB7kCAODsXRBywMMGMuuDa6OH+Z+7lGs8iQIiWFeazLG1oNVh2hKzU1rRqhy2\nRMYS2lKKCR8N7TXmvvd8I4QQQgghhBBCCKEXi/GbpQCg01FFWaUlXDs5wTcq2AoAwAZGX0uD\nw9CG9AZNEDlscRXBrya4Ykbrq5WJGa2aYOezJAJG102Vy4G6FIiSYN/kOlWR3C4dXPgcwv/A\nWfmFVJ1YkBXoW9I+AKxFYKiErdEBlw0ATac3JDzWkBBXdmfXKF/L4WG2T+SrgRBCCKHHhwEO\nBACg0+gYBji8Rr4fLKxE76yauGbuFn3Ri15jwnuP7WQ4mnw9c8MXe/LTSrxCXKd+McojyKWs\noMLsDKV55jU8HpOVo0klN4rH6bor+5XFr3e4FJuXXOgV4jLmg0i+kKc/Wq2hfrpSnFCi9LPh\nv9/JwVrAPncpV5/eqBtQo4lNk4OpRr8ULUKlo/+4VZpYqvS3FbzR1k7IIR/hJI4ett8c/VBZ\nq+Zw2WwO68ET7oMgiL4Tuuxfe9rQ029i10c+G0JPW3alBgBAR0GFEuyMSt/X3+FgKrEQkotM\nemiA/EpQ68CCD7VqEHDI1m7HOAJ7lvlPYgbbSkqpOmoKGp5VXypTQbDtXW0mfDT0sZ4SQggh\nhBBCCCGEEHqehA8Ky7qTb9ZJMnXJCTZD6wgSAFjAhGlKWIxJooIiyAs8VzXBpoEAgBrgVpD8\nCHWujBQwAM5UtSG9AQACRkcThNjLZsuvw36Y+Xfy4RuWAFBdZVNYfNXWQubhUn/e5u3e293d\nYusrrR7hKSOEEELoqXpePqVGLUVZq149e9OFPdcZBroMaTPnl0kiS/PNR/pP7Nqxf0j67Vxb\nVyuPQGdDf1l+xacjVtVWKQGgNK88/XbO2muLPQKd+UKeSqE2DPPv4F13rRoVpaPFTW5u0hyv\nzO4fcyhWq9bpm2nhrdPL1V+XqxcO6/H1D67GIzUU03vD3RuFtfrm9juyGzNCSNL8k1v3AKdC\nF6uy/LroiZWDpEP/ELiPwhrtwZRKABjqJ3USP936Ezqa6bfpbnRujb65Ka4semoQ9/67nMjL\nqm+cuAMEdBgQKjEEru8RiHiPv6TpS6Ms7SwuH4zlC7iDpnTvM77z458Toack1F54o7AWKMYk\nvUExkFcOHvf2SNLqgM0WJhcpkoshtxxcLCHfNNGVVAQ0A9ZCGNsRBGwaYPudcqKaJkiSMSqD\nqSTYrSjz+BoAVJG8UlIIADYcesme2WSD5AdCCCGEEEIIIYQQenFN/HhYrVxxcvNltUpj6HSm\nqvPYFu01RTaUsobg1JA8LRAOVI3ZXBZDi2mtklX/JrOaYJWxhEWkEOoKdZiwGdN628LejlJ2\n9P6bxv0ud1JNAhzN427JfdgpCCGEEHoGMMDxstuweM/ZnVf1j6P33xRa8OeundJwmNRe0r5/\nsFnn9RMJ+vSGnqywMv5iSuchbeb+OnnVOxv1m5L0Htep76udVQr1dzP+it53EwDCevgv+PNN\nKwfJI6/Zv4PXT+c/Obrh4uZrhamuLsU+Hvr+bQmyZX1MAhznsqsM6Q0ASJapDqRUDOjq7mgv\nKiqp65da8kYODRjZ+4PNy/ZnJRa4Bzi9tnCYxEYMjbmSX9N/U3K1hgIACy7rxOv+nVwaH/lE\nnMqsis6tIWjGolTGEOQNhun0xx1rAXtUgNWsDvYs0y0hUm5kfTJiVa1cAQAWVqKvDn7gHeb2\nxJfE4bFf/d+QV/835ImfGaEnbmlvlw1xpYxZQZ0DcWAnrg9wpJRAWuntXVGbD6SsvlZcXqMx\nD3Doy2BWKIBffx7GQgCdPOFyBgCQBPB4bKVKxwaTP6rlJL+IJcphS2ggwiS63Rc+t3GSPoVn\niRBCCCGEEEIIIYRajFqpadsnyLet50+zN9J0XYENKa0eyCtnlEoAEDNaMaXVEI3f1VNOCsx6\nitgWxYQAAMpIgRdUGvq1At7adzt3cRXLy6oZ2qSSB1tmFA25lgVsEtq6P3Dl4c7mdwAihBBC\n6HnwggU4CgsLFy9efPjw4eLiYmtr6/79+y9ZssTLy6ul1/UCu34iwbh5zbTZNJoyjwBTOrq6\nopai6DeWRVk5SNwDnJ1b2QPAxiX79OkNAIg7n7xm7pZPt856nGV7BLm8tWLcD2viimWq+qsz\n5lv6ldTqzHqKa7TWVvyj28cuWHI2Pqk0wNdm+Sc9XJwsACwW/PXmA6+74GSuPr0BANUa6n8n\nc89NDnycJ9K0/GqNQF7d4d9jYlklAFTZ21wfPVAtFp7OrMrPkk105rj6OUrtLPSD//h0lz69\nAQDVFbV/fLpr2f65T29tCD3/XCRcdwtudpXGpFfIgdQS6OwFLBJyK+ByOqh0Y6bvO/nvuDyv\noj+OppuegwD9XqFclvmuKxZ1f13TDMydHHLgfH5ugtLJ6EYKS1rFAtpRCMPHtZ+7dARX8HQL\n9iCEEEIIIYQQQgihZ+zutYzFUaurymsbHmIqTe4R4jYopwEA+WwLyvQmPQIYfXoDAMpYwhSO\ntQ9dSVK0UiKK79ktsUIbrtQlKQmvtp6Zt7IMs3r19L+57SpIhSCrgUolAIC7DdiIAIDHIrq4\nWpzNrmp49a5uFg/5dBFCCCH0LLxIAY6CgoLw8PD8/Pw+ffpERUUlJydv3rz58OHDMTExvr6+\nLb26F5XQgm/SFPPvN7Khdv2CBSKesrZutxRLWwtLO8mbbT7Vv2AVWQqX7n1ff+jWmSTjibfO\nJDEMQxD33QoEAPJSiyqKq7xCXJvYcmV0oPXyiwWGZlSgtdmAzq5iPptU6epfHHd3twCA1sH2\nR7ePvd9ptVp639HUvILqbuEuHds6GR9KNsqLAEBCYSMvzZ+gcGdx8MlL+vQGAEhKZIFnr8QO\n7e1//trtb2/fBuDw2NOXRg2f2QcAcu4WGs81ayL0clJR5rku8LWHlGL4KxpIEhR12Y7YIsWH\ni89oevmDgwS6eMPVLKBo4LCAJEGtBQCoUUOFAqyMfh3lygwPo/fe/GfXmxNmHoiNo3yoCimf\n7BoZOnhaTycvWztX899LCCGEEEIIIYQQQug/gGGY5a+vazS90RxpHOs0tkm5Vh7QajAq1EEQ\n6SN6ZrpLubE5qhu5cDL94zL1gq4+OpIQhHcepAXt3RyBmD/ynX7VTq6w/xjIjFZSJAcbEY9F\n+NoIsuRqaCDYTuBn8xCfBSCEEELomXmRAhyLFi3Kz8///vvv586tqyuwYcOGKVOmzJs3b//+\n/S27tudEcY7s2IaLympl277B4QNDmzNl4OTuabFbDM1BU7s3/3KOHraLdrz75+f/5iYXtWrt\n9sayMZuW7TO8YK2VK9Z/vHPlif8BgIVpCEMsFTaR3qAp+pvpf5z/9xoACMT8ub9OjhjZvtGR\ni3q6aGlma7yMARgfbG22fwoAtLLirRns8f7RnBoNJWCTy/u6tnN6QF04hVLbfdiWm3HF+uYX\n/4v4fH43w9FgO0FRjdbQJNLyD6yrHvZW76bP+chC7AXOpWX11wNGml9snVvofeW2vq1V69Z+\n+E+HASHO3vZu/o7ysmrDUDd/x6e0KoReFCqKLq7Vmvfqf/eojMrziLgwrv3e1OIP7QQAAO09\nINgFalSg1MK+2LoxDMDRBBgQDDYioGiIy4O7RfojbKBZ+fkBPtaxZ6aWlCkkFlw+70X6txUh\nhBBCCCGEEEIIPYLDf54vy6945OlFpJAxrfgqplVq0uiNdIYBMZemQVWjBS3tRdS4J95i375S\n6u2e1KvTnsh+O35xH9PWEQD+PZJqfnZHCQCoKSahRNHo1Zf0Mn8vHSGEEELPiRfpQ6Y9e/bY\n29u///77hp7JkycvWbLk+PHjDyzn8DLITS6c03O5vh7Gvl9Pv/7piFcXDHngrMHTe/CF3NPb\nrzA03f2VDoMmP0SAAwDCevivOrvQ0DSr+pB+O0en0bG57MFv9Ey4VP8icsibvZo454ktl/Tp\nDQBQ1qh+mPl3hwEhfCGv4Ugui/imn9s3/dyaONu0NnZjg6yzKjXullwJj/XAZ/T75jhDegMA\nvlgZPXNKW3vbutfN3/Z3j1h7W0GyAICjUgecjdl8XDV0Rq+n9+3n4m6ddSf/XotQiUXSwlKz\nMak3s5297acvjfpk+A+KahUAiCSCaUtGP6UlIfSieOdwdiO9qSVgLQIxH3JkAAAWfBgYBARR\n4edAZ5TC8URo6wYCLshqITrNZKKsFrZdBT4HtBQYbSAVqinxdLckWSQAGH5XIIQQQgghhBBC\nCKH/tui9Nx5nupRWVZMmb3qXk6bvLBEAEgFwWNDTT8KhA+69VeWSkMJWqW+O6r/8XIG3g8X0\ng5lxRQoiqh1zIQ2KqwAAHCTQZKXtQDv+mayqIDtBgC0W4UAIIYSeOy9MgIOiqBUrVpAkSZKk\ncb9AINBoNBRFsdkvzHN5SnavPmHYzQQAtn93eOy8SBabbGIKABAE0XdCl74TujyRNTh62Jbm\nlhuaaqXmg75frzy+oNeYcL6Id2rLZa1GFzGyfd8JnZs4Scr1LOOmsladnVTg397rkVcl5rJC\n7AXNHJycJjNu0jSTkl5u+FC2raNw6rWYi2UaALDLzOMo1TUEoVJoBCJeSZnik+XnL17Jc7AT\nzp/ZPuPQ1Qt7bpAk0efVztOWjOY86h354+YPXjF1vaGZ3bUNS2VeUcDWxQoA/Dt4/R679MrR\nOJIkwgeFWdriFoboZXezoEEFy6IqEcMonaV0Qj50awUetmApAJY+gEXs3HIbUooh5V6Ei9XY\n788GP4CWbHrqklee7MoRQgghhBBCCCGE0H+bA6PMBUvjHvOdgIOd4d67yupgV4iuP2KfkcPS\nUrFV0GPDXYWWgswyOHqn7o4jkoC2bqDQwP3fkU4qVSWVqv6MLb36RnCwXXPfOUcIIYTQs/HC\nhB5YLNb06dPNOpOTk+/evRsWFobpDQCQFVYaNzVKbZWsxspB8swWUJpXnn47x6wzLTbn1D+X\nI6f26Dy4defBrZtzHltXK7MeOxfrJ7PEZggOsDNustlkgK+NcU/r1q4Zq08Ymu4BTgIRj2Fg\n5KTdl6/nA8DdVFnFhVgXTd3/jn2/nOIJuFMWj3q09fSM6mjnanVh93WSzeoVFe7Zxl2l0P6v\nb3J2Yl1Zjra9A4M6tdI/ltpLBk6KeLQLPREH1p3Z8d0RuawmNMLvnR8mOHvbt+BiEGrnLIot\nNq0S6Sgh3MPI0mo6IR+qVGBdf1sDSUCtXGU8lk0AQxIUbf63szFnG97vOz5sFYo1JxFCCCGE\nEEIIIYReLhGjOsSevdv88bUEGxhSBBp901ZXS3IY2mgXFQGj89JVitzsXdq22ltBQTsPwyGK\nyzE5F0EwBACAQksBAFzOqK8XSzNwPRv8HcHqAZViFVr6l2vFawZ7Nv8pIIQQQugZeEB5hucZ\nTdOzZ8+mKMp4UxU9tVr9kZFvvvmmRVb4jPl3MKlR4ehh+yzTGwBw+I/z+v07zGz6cv/Mjos2\nfrlPq9Y15zyRU3tYO9ZHjwdP72ncvB+tlk7Pqqyp1TR/wY2aPjEsolP9Z7ErPutla22SQZ7w\n0dDAcG/9Y2tHyzm/TAaAjOxKfXoDAByoWmeNSZjm8sHYx1lSUGeft74Z/+byMb7tPDgkYSHm\nLjn6odXr/crCQwpH9uLPiWKej/2Drhy5/ev8bbLCSp1Gd+t04pev/sowTX3yjdDT9v0Adz7b\n/KejRkPpLIUwKBi6+xj30wxwgp3B3wGsRfoenY42T2+QAFIBiLj6loDHPnNwEqY3EEIIIYQQ\nQgih/6T58+cTBBETE9PSC0HPqcip3TsOCG3mYBaLFHNJEWi0ULfNNwHgpqsyHhOoLfPQyacO\ncH17Wjtgk8af3thk5hmPLPbxoNlG24WbvS0vq4W0ErhbBBQNNAM5MrjPHUpFtea1ZhFCCCHU\n4l7UwhUMw7z99tsnTpwYMmTIlClTzI6q1eoVK1a0xLpa0pg5gxJj0m+dTgQAKwfJvPXTnvEC\nyk1LgBhUllZVllbl3D2krFG9tWKcoV9Zq751OnH7yiMZcTlOXvZTl7zSZWgbAJDaWfwSs+jo\nhovlhZXBXX0jRrZ74KWPns6Y+t7hopJaLpf18fudF3/46FUoeFzWuX0T9hxOXbfhVnau/MDx\nNL9W1kMHtDIMEEkEK08uyIjLVSk0Pq3deUIuAGg0lP6ohFa30RabfWLM5rCgAZVax3/UfVXm\nnyva6ugJjp4AEHux0ELEmdPJ8dFO9QTFHLpt3MxOzC/MLMUiHKgFWfJYRfPazTmasze5olJl\nGiDzaeQ7M8nDHjzsAQCuZsLVLPPD1kIYFFIX78iUwbGEtd8N9Gv17OoDIYQQQgghhBBC6Jm5\nevXqqlWrWnoV6LlGEIRnsMu14/HGnbcFziSf5ynPt6BNbjWkKBooDQBwgDJ0BmplAtCVkEIW\nw7hRVQ5ULQAEdGwVGGjHvZmjEXDBxx4IILNKQ09FawhWIse2lCUk2CTl5Kk/A5skdDQDEj7I\njLYSZhgQ8+D0XSipAkdLUOvAkQYOCxrcBtjT45neAooQQgih5nghAxwURc2YMePPP//s0qXL\nP//8QzQoPyAUCk+cqN/korCwcNKkSc92jS2AK+As2zcnO6lAUa3yDnHVBwuepYBO3ie2XGpi\nwNkdVw0Bjk1L9+38/qhOW/dqNS+1aMXU9T+eW+gR5AIAEhvx2A8GNfO68ir1q2/tr5SrAUCj\nob74Njq8rdPgfq0eOPF+SJL4c2vciXNZAJCSUXE2Oufs3gk9u7oZBhAE0aq1u/EUv1bWgX42\nSSkye1pBNig70Wd8Z+PmvqOp7y88mZ1X5e0hXbOi/6A+3g+1PJqBPXcrjHt2JZY3J8ARfTVv\n5ZqrxaWK7p1dF87pYinhPdR1H4jL55j38Mx7HplGpeXw2A1/2BFqmiWP9dcIL+Fh4pfrJQ8x\nLdwLkotBrjTp7BtoKM4BXjZTVg6dNDbwiS0UIYQQQgghhBBCzw2NRjN9+nSKoh48FL3c2vQK\n2PnDUUNTS5AlwNOpyFKuc3dVDgfoJuYCAAGMl7bSC0xujHTxsXe0F61a3Gvup6fUp5MACIai\nWGrtTY5TKUsAAKADuJIFFgLfrp4rB7i/eSCzJNAJLqaZnNpGBG3dwfFePkNLNUxvDPOzersD\n3n2HEEIIPXdevACHQqEYO3bsoUOH+vTps2/fPrFY3HAMm83u16+foZmRkfEMF9jCPAKdW+rS\nAydFxF9MObvjKgCIpcLIqT0uH4rNSykyDNBpKYZhCIK4ejRu24pDZtM1Ku21Ewn6AMdDiU0o\n0ac3DM5czHmcAIesQnn4ZLpxz+Zdd4wDHA2xWMS+jaPfWXA862wVmJadG/5W71dm9zc007Mq\nX52xX6nSueiqnVPyvh11+98eId69wioVOkc7ce8I9zYh9lfza+NLFL7W/B4eFoaJNEXv+fnk\n+d3XgCSpPn3A6BV3c2INt++U9I/arlTpAODy9fybccUndo174KyH0mtspwPrzhiarXsG2LpY\nPf5pi7LLVs3aEB+dwuNzR7zdd9LnIzDGgR7WvC5O2xLKK1TN2sWpjrXIJMDBJsHewvh42uPu\n14QQQgghhBBCCKHn1LJly+7evTtgwIDjx4+39FrQc61tn6BpX47evHy/RqlVkpx4jp0OSABQ\nE6xylkBfUaM5akiuiNYQAJ2HtvFr7wkAs6a0HTbAZ//RtHc+Os4Akc2yrEtv3NNBWfteT5cV\n0QVyFQVBznAtE9RGkSMvW7Azei9LS4FplegxHuId430f7VkjhBBC6Kl6wQIcFRUVkZGRV65c\nGT9+/IYNG7jcZ11k4mVQK1fs/eVUVkK+m7/jyHf7Swx3nANQOvr4povxF1Mk1uJhb/V28XEw\nnkiyyP/98cakz0dWllR5BrvwhTyBBX/jkr0AjD5t0HVYW/1H73EXkhu9dG5K8bYVh1z9HLsN\nb0uyyEbHNGRnIzDvsRU2//k2pGrwKa9S9eC9AH29rY7vHJeb0vO97kvVirqPdl19HactjSLI\n+sDB6QvZSpXOjlaEaUsAIJFje/pKNVyJNgzo8Xq785aW+sdjgqy3R/noJ29feWTT0n0AoLIQ\nsoPLwd7GMIWmmSHbUrq4iud2dhRxGv+6bd55R2n0vE6ez8rOq/JwfZIl8gLDvb/c/f7OVUfl\npdVhPfxf+2T4Ezntiinrk69nAoBKod6+8rC9u3Xk1B5P5Mzo5eFtxUt8OzRqZ1p0bnVz55iV\n36BoQqNjjIrK2ItesH9AEUIIIYQQQggh1BxxcXFfffXV/PnzGYbBAAd6oKg5A0e+02/1L5c/\nWBb94NEAAIyGYHEZk+Ic8Rx7AKajutCnTX3hZ1dnixmTWi/65kJZuTKZY2N2luts/qQ99+5C\n5LL83wlsAAAgAElEQVRgTEfYFwvVKpaQ896crif44oRUGZTVgAUf7C1AZ1pORkNNceU/7DNF\nCCGE0LPxIn3+pFKphg4deuXKlQ8++GDlypV4F/7jqyytPvLn+YpieUC4d++xnQiS0Ki0CyJX\nZsTn6Qdc2HPjp4ufCkR1e22sfm/T8U11L0NPbIr+8cInrr7mO3c4etg6etjqH4+ZO0hZrTq+\nKVqnpSJGtHvz67H6fomNBTTAYpMnNl7UP27bJ+jL3e81M8MR6Gc7oJfX8bOZ+qa9FX/i6KBm\nfgUa5eJk0b61443b9bVDRgzypXT0thUHz2y/wtBM91c6vPbJcA6vkR8fNz/HJf++t2X5gZIc\nmV8HrylfjDLeWESh1AoFbABwomoAoIrkZbMtzc5wfmsszOgOLBIAdiaWT0mtHOwrBYBT2y4D\ngMpCdHHyK1pB3f8RCY+loZhLeTUAcDi18mJO9ZGJ/o3+YNTUmmdQqmvUjQ18LO37B7fvH/wE\nT1hVXqtPbxhcO5aAAQ70CBzFnDmdHEwCHAwD9/t3JCEfymsBgMUili3seflYQu7FO1XX49K6\ntTcMac6+RQghhBBCCCGEEHqxUBQ1bdo0T0/PRYsWLV68uKWXg14MbA5r1Cuhn6+6VlNbd18f\nHyhrStnoYC6PIxCLlDL5vQ6mhuRVkVwaiDgHz1Vbb+0v1ISNDueyWaMDrb2kvM2/Dhs+cZdG\n12A3Fl/T3U+kApjcBZQais9ZWwWc03fgWg5QNACArwN08DBZQ0pRx7mtH/dpI4QQQujpeJEC\nHAsXLrx06dKbb7753XfftfRa/gsqS6re6bqkorgKAA6uP3t2x7WaytqcpAJFjcowJj+t+Pqx\n+O6vdACAmkrFic2XDIeUteojf55/86uxTVyCxSanLnll6pJXzPqltuYb37A5LJ22PgV863Ti\n9ZN3wgeGGo9R1qj+/OzfmMO3OVzOoCkRYz4YpA/xEATs2TBq9e83Lp1JZccnqgrL32v3yej3\nB0z4aOhDfUGM7fxj5KwPj52JzrGy5H/4TviY4QFbvz649euDdUd/OErT9PSlUY3ODY3w+/rw\nPLPO5LTyqe8dvnw9XyjgWIi5UAEAUEtwGplP0VCtAmldEZGEUqU+wKFV6wAgp3WAIb0BAFVq\nk+j0sXR5qkzlZ9NIejqyr/faDbcMTW8PaYCPeWr7OcTjc0gWSVP1f58IxLwmxiPUhKgg6/c7\nOf54pQgAgGGgpAYcGgmTQXopnE3VP2QYCG/rlL/jhIaqcbgcKy6vKmnlxgPY/t3wji6NbOCF\nEEIIIYQQQgihF9rKlStv3rx55swZPr+p+gQURcXGxhqa+fn5T39p6Lnm6WZ5aGvUx0vPpWZU\nhAXZLXq/07Hv9908ldhwZPv+IV6hblu/OkADoSLYlSQvhWNDAwEA6kqNTXFeVUbu9pj0rDD/\nj9Lk/KwyFkE0kt5wsgSagbxyEPMN7yQDAAi4kFioPJ+qNC65kVoMPnZQqQAeGwhCVCzfMKON\nnc1jFbFGCCGE0NPzwgQ4ioqK1qxZAwBxcXG9evUyO3rw4EGxGD9LezhH/r6gT2/oXT8R3+iw\nytK6G9blZdUMwzR66GFtWrbfrEdgwa8uN9kRsDC9xGzML/O2ndp6Wf/478V7eELeiFl99E2h\ngLNgdudZm45mF8kAQFmj2rxsv7O3fa+x4Y+2Qi93y6Pbx9I0Q97b/eTC7utGx5nz/16/X4Cj\nUVHT9ibcLQUAhVILANIAd0i4I2Y0jQzlssCiflOYgHtpjE6DWx/87Yxa/IAX1uVK8/1f9IYP\n8vlmUa9lP1yWV6k7tnX6/YdINru5m9S0IJ6Q22tM+Ol/Ygw9/V/r1oLrQS+6VQPdP+nuXFit\n+fla8fqb9ym/YSUCqPtdR9PMJ8vPdxNwAQAYxuluutPddKmdRUeXCc9qyQghhBBCCCGEEHpG\nUlJSFi9ePGPGjJ49ezY9sra2tkOHDs9mVehF0aOLW/Sh1wxNsW5AowGOywdjrx1PAAAC4CLf\njYL6d6jqdiIHcEjNqkitrGJJahvO1yuUw1+XQP92fbAz9PKvm1mpgHMpYHQ7HAQ4wt0iKK22\n7eO3eYinO4tp5SnlclmP9VQRQggh9DS9MAGOmJgYjUYDAFeuXGl4VKdr/ENr1ITywsoHDWEA\niOCuvvqGk5edjZNUZjQrNMLvEa6rqFbJCswv3XVIm2ObTPYI9A5zM1kKzVzad9O45+Ke64YA\nBwAUZ5VlJxUYD7h2PL7pAIdOowOCYHPu+2rVkN5oyCzL0rS8gmp9esPApbX35Fntd/94vLhI\nkaqtz2TwuKxOkzqcZ9Vdd4ivdKiflf7xtC9f0Sg1xUmyPKPzsElSR9e/HLcTssMc7pvw+PCd\nTvPf7qRUaYUCTl6VZvr+zBuFtd5WvM96uLR1fDKBa6WO3plYXlqr6+5uEe4ieiLnnP3ja07e\ndjdPJYosBSNm9m3TK+CJnBa9tOyEbDshm02aBpjkStDRYCUEkgABBwDAgg9uVqClUnLli+Z3\nvXM5zTC238Suz3bJCCGEEELoP6KsrCwgIOCjjz6aP3++cb9Wq121atUff/yRnZ3t4uIyderU\nBQsWsNkvzDs2CCH038AwzPTp021sbL755psHDuZyuTNmzDA0q6qq/vnnn6e5OvTiadsnKHJa\n9yN/Xmh4SKfRAQABjJ9WlsSxNfR76+reNmfpdGWcB71ha3iD+k4BeFiDtx0AQFGVSXoDABwk\nwABYCssUOg87YYBtU6VlEEIIIfQ8eGHeDhg5cuRDfWSOHiigo/eh3881MYAn5E3/crR3qKu+\nSbLIjzfOWDH199K8coIg2vUNuvDv9cN/nm/TM+DVBUME4ua+8hNa8K0dLcuLDJv8gcRGfH7v\nDa6Ao1Fq9T1D3ujZSDqEIExb9c2bpxK/f+svs+F84X332qipVPz4zsaYw7EEQfSI6jh71Ws8\nIbfpZUeMam8UECH028oAQH615uNTeTF5NU4WnE+7O/f3tmw4VyziEgQYf/+KRZyBkyIGTooA\ngEvX8m/cLqqu0bg6S3p0cfV0szydWRVXovCz5kf6Sg1Pki/kzfll8myambY/c2NcGQBYcFnV\nGpMtVL4f6CHkNFVXgyBAKOCodPTALcmJpUoAuF2sOJ1ZdXtmiIfl425NUqmiOv1xJ0VWtwXP\nV33dJniIsnLlgX42j1ORjyfkTvx42MSPhz3m8hAyNjrA6tfrxQAAGgoOx0NeBQCAVAiDQ0Ch\nAS9bGBgMbBIAymvUdj1C5vwy+cSmaK1GFzGy/ch3+rXo2hFCCCGE0AtJpVJFRUXJZLKGh6ZP\nn75p06bu3bsPHTr0woULn376aXx8PH4QiBBCz9iaNWsuXry4b98+iUTywMF8Pn/dunWGZkZG\nBv7eRg3N/vF1iZV4+3dH7jfAUye3pDV5bHE+y6KjpsiGUtwrwkGwiAbbpjQhtQTsJSDm1d2Y\nZIzPgS7eIOYCgEJLNTIXIYQQQs+ZFybAgZ64PuM7x567q9+URCjmUxSlvpefsLKXfL79Hc8g\nF7NYQ1Bnnz/ilhVmlOSllXw5fo2+M+1WdkF6yadbZzX/0jO/Hf/tG39o1ToA4Am4VbIaw6Ee\nozuMmz/YK8TVbApBEhEj25/YHG08Uv+gtkr51eTfauUKkwkcts/Q9vdbwLoF26P319XzOL0t\nRmItnvH12KbXPG7+YEpHn/knhgHoPqr965+OAACKYYZtS7lVpACA1HLV8PzUS9OCGlazkFry\nRg/133Ug2dAz9dVQw+OuHV26dnQxHt/HS9LHq/E/FFkksWGk95e9XYtqtIfSKpecM9lfk8e6\nb8kQY1fza/XpDT25mtp7t+L9To7NmduEn68VG9IbAPDJkrMf38oBAAGfvWpp3xmT2jzm+RF6\ngvp6S97t6PDztSK4llmX3gCASgWcSAKKhmGt4d4eQ4yY13l5TMnq/gNex+17EEIIIYTQIyos\nLBw9evTly5cbHjpx4sSmTZtef/31jRs3AgBN0xMmTNi+ffu0adMGDBjwzFeKEEIvr127dgHA\niBEjzPq7dOkCAElJSQEBWBcWPbTJi0cBQexadZTSNR7IsKKVYq0aCMKGUsC9LVQImvbRlsdy\nm/2GbWoJZJRBZ28IcwErEVTc23rFSgSeNnCvBPWsw1kXpwZx7l92GiGEEELPAwxwvLwIkpi3\nburEhcNkBZVeIa7Zifl/Ldqdn1bsHeo27cvRDSMUemwOS2ovWT17k3Hn5YOxtXKFyLK5VRYi\nRrb3DnW7dSaJL+L+Om+r8aHiLNn9Lj1z5XiBmBdz+DaHyx44JWLIm730/em3c8zSGwpLScKg\niPdStIn9mEZfj14/nmDWfGCAg81hTfpsxKTPTP6ESypV6dMbeiod/U+8rNHtSP5ePSTI3/bU\n+WxrK/7ctzp26eDScMwDxRUrvr1UWFCj7eIq/l9Xp4xK86onrayaVUVDafzXQnEVZJcfrpKP\n87JwtH+ITU9UOnr11eJz2dVOYs6czo7BdoJUo/QG5JTTt3LqLqfSvbfwZGRfbzeXB9++gNAz\nszrSY2Ybm5At10x6S6uBwwILHgCASksmFXIrawgx75PDmWte8WmRdSKEEEIIoRfdunXrPvro\nI7lc3q9fv5MnT5od/fnnnwFg8eLF+iZJkitWrNi+ffv69esxwIEQQs9Sz549bW1tjXsSEhKS\nk5N79+5tbW3dnLIcCDVq8qKRo98f8KrnBxTVeIaDw9CWOpVZpyOlsGFpZBQXADq0duTx2DE3\n8kma0d6vTDlFQ3QaOIhBrQNfe6AZsBZBa1cw2kD8an7tlbyaCHeLJ/K8EEIIIfSUYIDjZefo\nYevoYQsAgZ1afXP0wweOz04qWDDo26ryWuNOhmHUSq2okc1D7su5lb1zK3uGYX5bsANAXXce\nIFhGLyjNCES8md+On/nteOPOwuKam0nlZiNz2gbI3J1l5ao7Jco2jcUpBGK+vKza0OSLH3H3\nEC1t/np55a/XivbFrftuIJ/Hjkss3bA9XqnUvTLUr18Pzy/+F/HF/yIe7UIAkFau6vZXUo2G\nAoDTmVWX82oOT/Dv4lp8Oa+ufsmEEJt2Ts1KYHRyEdsJ2aUKHSQUwNlkADh+NdNlR9y6v6Pe\n6OPRzPVM2J2+525d3YJ/7pRffzM41EFQf7ioyniwWkPdiCvGAAd63gQ7iUMdBPEVJr/QQEtB\ntQoYhvjnGq2h9H89n03JVA+a/8C9lhBC6EU0d+7cVatWmXWOGzcOS0AjhNCTsnr1ajs7u127\ndlVXVzcMcFy4cMHDw8Pb29vQo2+ePXv2ma4SIYReel988YVZz0cffbRixYrly5d37ty5RZaE\n/jPEUmGbPkE3TiSYdt/bLwXAilbXNwAAoIwv0ac3Av1sjmwfKxFzdx9KiT18c8+uuDKWgMtQ\nbIbOYzd4uzU2H2gK2rqDfeMpjTKF7gk9J4QQQgg9LRjgeEmpFOqC9FJbZ6nERvxQE/9etNss\nvQEAvu08rB0fJr5xD0EQvcd12r/2dDXJTeDYyUl+TDrbY+01W3nJrTOJYqloxKw+rXvetzjh\n1n8T35h7RKXSdSQFNnTdniBaAa8woO5GefZ9ysENnNxtwxd7Dc1BU7o/wuIBIMRe4GvNTy2v\nz0fT6SUbL8qllrz+Pb2ipu1RaygA+PXvW798M2DWlLaPdhW9LfEyfXpD73RmVVal+tyUwO13\nytPLVe2cREP9pM05T3Fp7eadd4bJa87TnLSY9PqVq3Szlpwb2GG8m+TBH1HnV2sM6Q0AqNFQ\nf8WWLurp8m9SRUxeDQCwJTyzPwVcnTDZjZ5Hv3w7sPuwLea9iYVQo2aMfuJSK4jt3x0xq8GD\nEEL/DXFxcRwOp0ePHsadoaGh9xuPEELoYX3//fe9e/fmcDh79+41O1ReXl5RUdGuXTuzfi8v\nr1OnTlVUVFhZWT2rZSKEEELoKZq3dsrSCWsTr6TpmwwAUR/YYNgETTAEQP3tgiIW89PSvr7e\n1n0iPFRqXbu+f99JLrNkVG2p6la6CgBICw0kQoMYgoTMMojLBYoBAKhRQ6+A+6U3xFxWZ9eH\n+zgAIYQQQs8eBjheRhf33vhp9qaaSgXJIl+Z3X/al6ObPzc3ucikTUCbngHvrX79kRcz7cvR\nfLHg/XVJVToCACprtH98tM2ZqqsqEXMo9ptjH4Z09W04UanSzZh3VKnSAcANnpOXrrKdp/Cu\nhSStfYjKoq7qRtc/Ez/v6Ty/i5PZ3LEfRIqlogt7rrNYZO9xnftN7NKcpdZoqF+ulySVKoPs\nBG93dBBxSA5J7B/vN/to1smUSqhRw7VMKJQDwE/rb/y0/obx3GU/XH7MAIdcTZn1VKp0HJL/\nWqhNo+PjihVns6vthOyRAVYCNqnvTMusCB+4saLSvCKfnq5SeS67+n4nNFauNE9qyxQ6AZuM\nnhp0OrOqqFbb1iZwdFRJclpdcZQh/Vu1b93sLRsReoYiOrnGnpn659a4tMxKrY72cJW0D3ed\nm6ZUb4oxLrCjBfLW5YxJLbZMhBB6iuLj41u3bt3wjnCEEEJPShM7ochkMgCQSs3j+JaWlgAg\nl8uNAxw6nc64LEdhYeGTXSdCCCGEnh6pvWTglG6GAIfpfYdEOUvgSNaydPXvAFep6Hmfnwnw\ntRkR6ctiEXeSywCgjbpEwOgAoCCoVeqgbnVDnS1ByIXoNPC0gSFh0PgtjQAAvw/zdBRznuzz\nQgghhNAThwGOl05Vee33b/2tUqgBgKboXauOhUT4hQ9s7k2W7gFOBRklhqZPG/flBz5o5tzb\nd0p2H0phs8hxIwP8WlnrO7l8TtuoLlVr7uqbLGCc7qU39E5sjG40wJGSXl6r0OofU0Cksa26\ndg35YV73pRcLLmRX62gGAKo11IcncoNsBYN9Td4OI0hiyBs9h7zRs5krBwA1xXT7KymuWKFv\n/nOn/PK0IC6LCLDln3gtwDl0TWFxTRPTS8pqdTqafS9I8Qj6e1v+EFOfnnEUc8IcGtkdRm/N\nteJ3j2TrH/ta82OmB1kL2ACwYvUV4/QGQRKM8S4w9hYiTrNWGGArcLbgFlRrDD19vSUAQBLQ\nz7uucN/VY5PWb7qdkV3ZLsxx0tgQ4v5/OSDUsloH2/+4rJ9xj2tK5asx6TVXsw09fEbn6mb/\nzJeGEEJPXVFRUWlp6bBhw1p6IQgh9JLSarUAwOOZb+up71GpTML3CoWif//+z2xtCCGEvv76\n66+//rqlV4H+O6rLFY32V5CCu66eGinldeuOoTObLdHq6Pik0vikUi8PKQDwGErI1L0fnhfi\nb3KKMBcQccDHoYn0BgD09sQdrhFCCKEXAAY4Xjrpt3P06Q2DO9GpzQ9wTF48KjEmTb+LikDM\nn/H1uGZO3HskddTk3frHy364dGLX+DbtnOYdz9mdVEFWKQ3D2Axt9iJTUd14uQgPV0uSJGh9\n/oAkgGa8PaR9vCRSPqv9+jvGI4+my80CHI/g36RyQ3oDAG4W1h5Plxt2LXnz9dZLVkY3MT28\nrXPz0xvnL+e+/8nJhLtlvt5WKxf3HtyvFQBE+lh+3dfty/P5tVraz4b/13BvwX1OqNLR80/k\nGpqp5aofYoq+7O0KAFk5cuORDM2QfDat0gEA2Ird+/r19WrWi3gOSewa4/PanvSMCjWHJD7o\n4jg+2Lxuh8SCN+/t8GY+ZYSeK0P9pFmbRrbuujZfpgYANtDtyIpXZk9u6XUhhNCTFx8fDwCt\nW7du6YUghNBLSiAQAIBGozHrV6vVACASiYw7eTye8eeI5eXl33zzzdNfI0IIIYSejLAeJqkL\nkk1WOrvfLKaVJAeKapNlpELgYKeu0RFEDltSQQoMIzOzKwFAS5A0QZAMAwAU17SQBosEvwfU\nP27vJLIXYfkNhBBC6AWAAY6XjrWD+Sf0Vg16muAR6Lw+dum1Y/GUjurQP7T5cz//+oLhsVpD\nLf72oufkTn/GlgIAsDngZKnffERNsGrYfLGuPrTRYUBIoyeUWvI+fr/zsvU3oY8/uFiTNFUd\n4swAWPBYZiMtuOY9j2Dv3QqzntjiWkOA4/N53RzsRHsOpURfzVeqtGYjfbysfvtuYDMvVFxa\nO2LSv5VyNQAkpcjGTN93++xUHy8rAFjQzWleF8cKFWUnbOonN0euUelo455kWd3Xs12Yw8nz\nWYZ+d1fJv7smLNiSkK+iunR0XdTLRdLgq3c/XVzFabNb51dpbITs+0VJEHpx2Vjxs+LfW/vj\n2duXM8K8LUe/Nd25FVbgQAj9B8XFxQFAVVXVwIEDr169ShBEnz59li1b5u/v/8C5CCGEHp9+\nhxS5XG7Wr+/Rb6RiwOPxFixYYGhmZGRggAMhhBB6gfi0cX/nh4l/frpLWau2tLV498eJCRVk\n9IfH9EcZLZ0L4hye+H7TaSCyWJbeukoAsMvIqXSya+JaBIDx7sBd3Cw2jvB6Is8CIYQQQk8b\nBjheOu6Bzh0Hhl47Fq9v2jhJ+4zv3PzpDM1cOnDr0v5bXB5HYiPuFNnc+zWz86qMm7eu56Y7\nWYC9HQAAATAk1P5OvkuNwtlR/OaoQed/PZJ0NYMr4IyY2XfApG6NnxFg6cc9Dogs4iq1AECz\n2N9dK/FzEL7Zzr63p+RMVt3lhBzy9TDb5j/B+xFyzMvPOVtwDY9ZLOLtqW3fntp25S9XP1x8\nxtC/ammf7p3dQwPtOM3YmiQxuezy9YLUjAp9ekNPodSeOJelD3AAAJskmk5vAICnlCfikLXa\n+gxHsF1dXnvhnC6nLmTfuF0EABYSXrcpHU8XKbZ+EO7wSOFrAsBVwn3gMAbgu8uFv98sVVPM\nSH+rpX1cm7lRC0Iti80m353XB6BPSy8EIYSeIn0Fjs8++6xbt26RkZGxsbH//vvvyZMnz549\n26ZNG+ORNE1nZWUZmrm5uYAQQuixSaVSe3v7zMxMs/7MzExnZ2eJBOucI4QQQv8pQ97oOXBy\nREWR3MZZSrLIjhpq6+7E85fr/rzy18rKSGEZSwAAJABtOjc4wDYxGYrYYqlOLbhTwG4fouOb\n78JmMNxPml6pzqrUhLuIVvR16+Asut9IhBBCCD1vMMDx3ycrrAQAG6e6WhEEQXy6ZdaRv84n\nX890cLcZ9lYfic19U70NfTfjz9PbrzAABED0/psfb3yr+6j2zZnYvrXDmYs5hia/pipwy8HK\nV4fIHe0BAPgcz+HBV6YHA4BOoxsQGQAAPD6HZDX1Sb9cTcVXmpS7OJBSOaOd/e6xvl9HF1zI\nqXa14H7Y1SnAlg8AZQrd2hslhdWaTq7i10JtySa3A2xoiK/VhtsyQ5PLIkb4WzUcNm9WuLOD\nePehFDabnPpq6MDeJrnmCpXuTonSzZLrYWn+2nr17zfeW3iy0UvzHrKCCJdF/BTpMetQloZi\nACDMQTi3c10BPUsJ7+qxSZeu5f91rejPAs22SnrbydwV0YXX3wz2kt735f5j+uVa8Yf3tnRZ\ndaWoRkOtH9ZI3Fupoz88kbstQUYATAi1+aafGx8LeyCEEEJPWWVlpVAo3LFjx5AhQwCAYZgv\nv/xy0aJFU6ZMiY2NNR5ZU1PTqlWrFlomQgj9l0VEROzevTs/P9/FxUXfk5OTk5GRERUV1bIL\nQwghhNDTwOaw7Nys9Y+5XNaZPa/+uurcuiUHpYxKTGu8oLKW4CgJNkkQV7hOxhNpmmEYkBM8\nOYcHGgA1DfzGL2EjYP8U6elu+eBb7xBCCCH0HMIAx3+ZvKz6q0m/xV1IBoCQbr4LN82U2lkA\nAIfHHj7zUe4p3/XjsdPbrwCAIfxw6PezzQxwrP6q/8CxO/ILqwFAxGgDtDKCoVzjU+sCHAAT\nQ211Gt3Pc7ac2naZppg2vQI+WDfVkDtpFJdFsEhCR9dXg9Pv5SHls77u62Y8slSha7MuoaBa\nAwC/XC85kS7fNOrhPoGICrJ+s53d+pulACDistYP9bQRNPLjQxAwYXTQhNFBDQ9tTZC9dTCr\nRkMBwMz29r8M8TR8GatrNPON6nbUY5GWvraWQY5KHf1Q25RMa2PXw93iQk61rZAzyMeSYxRX\nIUmiU0eX/qeKgF+3/nKlbuWlwjWDPZt/fjM1tZptu5NKyhQ9urh17+xqdnT7nXLj5o7E8nVD\nvRoGaBaeyltzrVj/ePXVYi6LWNnf/ZGXhBBCCKHm2Lt3L8MwBFH3DzNBEJ999tnOnTtv3759\n586d4OBgw0gulztjxgxDs6qq6p9//nnWy0UIof+iyZMn7969e+HChX///TdBEAzDfPzxxwDw\n1ltvtfTSEEIIIfTUkSTRr4fHIaq+fLWI0doIiHOUSVVpFkkkpchMZu6LtZvWtVTHcFnEgm5O\nr4fZ7k+uzJKrncWcaW3tHq3iMkIIIYSeBxjgeAEwNJOdVEDTjGeQc9MVKcysX7hTn94AgITo\n1N8+2v6/P95o5txaueLcv9dr5Yq2vQJ92noAAMMwO1YeMRtWUVLV2GygGdgcX3YiXS7ls2d1\nsA+yEwT720bvihrbYRkBjJRWk8AAQBtLttaGz2eTk1vbzg532Lr8wPFN0foz3DqT9NPsTV/s\nmt3EIgVsclyw9Zb4+leuU1o3vlvKHzdL9ekNvc3xsiW9XR+q5gQB8NtQr4URzrlVmlB7oZT/\ncFUxZErdG/szlbq6undrb5T085aMDqyLWqdlVmg0lPF4L3cpSyoo6uIj57Cj9me5nys4MsE/\n6N5OKM3hY833sW48g11Sq1XpTCrwnbpdMu9KRo8ubiMG+T7EswIAAFmFsmP/DZk5dXs2R05s\nu+3rvpa8+q8PYzqeMW2rKeZ0ZlWthvr3boVx/567FRjgQAghhJ4BQ3rD0AwPD09ISMjMzDQO\ncPD5/HXr1hmaGRkZGOBACKEnYvjw4SNGjNi4cWN6enpERMSFCxcuXbr02muv9evXr6WXhhBC\nCKFnwaeNh38Hr+TrdVuqSe0sIqf1OPBTovEYG2tBSZnCuCfEWXz7ow5FtVpbIYfLIgBgXgCm\nEfkAACAASURBVBfHZ7ZmhBBCCD09GOB43skKKxeP+Tn9dg4AeAS5LN75roO7TTPnxl9IMW7G\nnU9u5sSy/Io5vZaXF8kB4C+Ad36YOOSNnhqltlauNB9KNzIdAOafyPkhpkj/+I9bpZenB7V2\nELr72LXxleYmFxqGRXb1mONL+nXwkliLAODGyTvGJ4k9m6TTUmxOU1GJdUO9PCx5R9PlUj7r\n3Y4Og30br9hx7naRWc/dgppGAxwXcqozK9VtHYWh9sKGRz2lPM9H2mrkdpFCaZqZuJxXYwhw\ntPKUcjikVls/YOaUNtcdbXYm1tWuyJFrZh/NPvV6wCNcuiFnC66zBdc40ZIcnZV8NfP7X699\nMKvjd188XHWWn3+/aUhvAMCRbbdCnWxiZ7e2vlehJCrQ6mJOtWHA6EArQ/mNohptj7+TUstV\nAGBWk4PzsJvcIIQQQugh6XS6lJQUhmGMgxoAoNVqAUAgeIjkKEIIocexffv2ZcuWbdq0adWq\nVR4eHsuXL583b15LLwohhBBCzwiLTX655/1dq46lxWY7etqNfn+AnYvVh3+mFtfU3/Ln18ra\nLMDx9rR2JEk4W+A+KQghhNBjU8shbR9UpANHAK7dwaVbyy7nIco5oBbx+8Kd+vQGAGQn5q+d\nv635cyU24iaaTdi16pg+vaH356e7aIrmCbneoW5mI1mN7euhppifrxYbmkodrW8SBPHplpkB\nHb0BgC/i2TpZbfnq4Oejf5oe9snNU4kAIJSYVIzgCbiNnt+YiEMu6+N6483gU68HjAqwuu+4\nYtNKIVoKZLVmQ2gGRu1I7fF30uS9GWFrExafy2/60g/FRWL+SjpbrilT6PSPJRa8rz/tZTgU\nFmT39tS2NwpNVni9oL5ZUqs9n12dI9fAIyEA/hruZXVvCxUokMOtuu+xH9ZeK69QPdTZ0rNM\nKmcADbl58t9ulho6Zoc7Luvj6iXlOVtw3+5g/1Okh+HQorP5+vQGANCmlTleC2u8mApCCCGE\nnpTq6uqQkJDIyEjjToqirly5wmaz27Rp01ILQwih/6qRI0cyDDN//nyzfh6Pt2TJkszMTJVK\nlZyc/PHHH3O5+GEMQggh9BIRS4VTFo9aunfOu6smOnnZsbnsX38ebjjK47KWLeyx9OMehp6u\nHV2mTQhriZUihBBCLyCGgtxzEPc73NkI5SblD0BVCcpySNoKsrtAa0FdBemHoDS+hRZaBytw\nPO+SrmYAMAB11QiSrqQbDiXGpN06kyS2FPYe31lfwcLMyLf7fvfWX4bmqHebW3+1MLPUuKms\nVZcXyW1drOb+OnlOr+U6bX3y1z3QueH0cqVOa/ppfFGtVv/Azd/p+9MfqRWabSsO7fi+bkOW\nWrnih7f/3pT8TeTUHjdPJRqebeTUHmY1vR9ZX0fB0fOFEOQEAKDRwelk/zcCzcbsTirfa7SL\nxxfn8vOrNb8O9mQ/aimI2ISSv/+JV6p0IyN9I/t6jw2y3nGvogYA7EosP51ZdXlakJ8NHwA+\nmNWxbw+PCzF5Tg6i4QN9ORzSw5KXUaE2jHeX8EplCjsb4a/XSz44nqPfA+WDzo7fDXiIfUby\nC6uLSxX+PtYDWlnenRUSW6Jc/XPMwT2xhm1OGAZyC6qsrRrfe6VRrYPtN+00Kp3CZoFUeCOz\nEro56TtIAhZGOC+MaORb5XyO+RY8wXZCFgmvhth82BUr/iGEEEJPl5WVVZ8+fU6dOrVmzZp3\n3nlH3/nVV1+lpKRMmjTJxqa5Vd8QQgghhBBCCD1Zowb73To99d+DyRw2OX5UoF8r6x5d3Ib0\nbxVzI9/VSRLZ15vFwgLGCCGEUPOkHYDCq3WPZXchdCpY+YJOBYlboDK9kfFZR4DNByvfZ7lG\nYxjgeN7ZOFqW5MgMTWunui1C9vx8cv3HO/SP//nm8Adrpzh627n5mXzm3XdCF4mN+OzOqwzD\n9BrbKXxgaDMv6hXieu1YfbbI0tbCxlkKAN5hbp9unbX89XUalRYApHYWkz4f0XC6k5jja803\nVFYAgJ4eFsYDeEJuenyOcY+soLKiuKrbiHaf//P20b8uaNTazkPaDHmjVzMXbKygWvNDTHF6\nhaqdk+j9Tg4WXBYATHs1bPXvN3KuZYGYB+W1k0YEeHuYb7aSUGq+QczvN0s9LXmfdG8kefBA\n5y/n9hyxVf/4t42xPy7rt/WNdpG+0ncPZ9feS8CUK3Vfns/fNKqVvtk62L51sL3hDIt6ulzK\nrVZTddmK5C3X7RcdahXmlNsrQHNvr5XvY4oifaT9vCUPXA/DwMwPj/22MRYAREIOh8OqqlZ3\nbOPUt4fHQaOwjaWE5+9j/VDP9J3p7bbtSbqh36SGRUJvf2CT8vSyB058/2j23TKTah/OFtyE\nWSEPdXWEEEIIPY7Vq1d369bt3XffPXz4cGBg4NWrVy9cuBAYGPj999+39NIQQgghhBBC6KXW\nJsS+TYh90z0IvZzmz5//3XffXb58uXPnzi29FoTQc4+hoPimoaWhaF32BaE8C0pugaqy8SnK\nSoj/a8udnDmn4lp7B614c2F732da+AoDHM+7sfMjvxi7xtAcN38wAFA6esOSPYZOuaxq0ZjV\nABDW3X/RjncE4vryCR0HhnZsdm7DYMwHg66fSMiIywUAvpD3/s+vGyphhA8KW3/ryxsn73D5\nnE6RYSLL/7N333FNXe8fwJ/shJ2w954iKiBucOJeqHVWrdbZVtuqrbZ12zo61Pp1ax2to866\nwQmKigiIDJG9V9iQPX9/XAxJCAhoq+3vef+Vc+65557LiLy8nzxHT+cMJ8NcPziXlVsrBoAp\nnUyX9tCupmDpoLFBBlOPYWxmAAA9R3btObLj9bqrhbIeh18U1UsA4OLLmuuZtfdne1PJJA6b\n+ezOR4dOPC8sru8VaDtlvHb5DQBw5+goO/FXek3HAhw/7n6i3tzya8ySeQGTO3HmXMpR78+s\nFoMuVTXCM3seOyRVyJ3N7OwM7//xTFrJA4BsngwUGiNjinltCXCcOJ9KpDcAgC+QAkgB4ElC\nSWk5b3So25WbWQBgZMg4umskk9G+twUmg3r8f6M6TbsAXlZgYwyGTMipcDCltH5WKU/6q9o+\nOwBAIZN+GqK9Rw9CCCGE/lbe3t7x8fHr1q2LiIi4deuWjY3NsmXLVq9ebWxs/K6XhhBCCCGE\nEEIIIaQtNjZ2x44d73oVCKH3lFwhzyzOZdDozlavdjBQyEAhBwCJXLH4xpPjSVkyhXKws83R\nMX1sDFmtTDW9k8PW6MQ7z6KHrZqReuiuhYlZK4PfLgxwvO96DO+yPXJV5JlYpUIZPCHQp6cb\nANSU10mEUrVRjemKpAfpJ7dcnbtp4hteVN+ItTPq26QH6bxagW9vd7alRj7A3I4zbHa/Vk6v\nLK4RxGT92Umf5etmpk+3MqAVZ5Xv+fJkyqNMUyuTqStHDpnRZ+LnoffPP+XVCohTZq4ZS6aQ\n33DZAHA+rYZIbxAeF/GeFPP72BsAAIfN/OrTHq2c+0Enzr54bnRBg3onvaOV6Mq4fPVmRZVA\nKlWwaGR3U2ZGVVPZiS6WuhMwE+f8FfmwAAAgviifQgb5q9QGXzvwYWfUpq2RH8UW6+wvKK4/\nf2T85tUh5Vx+t86WbJN2bJ6i4unGcSbJcx9mgbkh8ERQxR/+27jWT8mr1b6RCV7sqb5Yqh0h\nhBD6pzk7Ox87duxdrwIhhBBCCCGEEELoNSQSydy5c+Vy+bteCELofZRemD1+3cdpBZkAMNi/\n34W1Bw31DIDCyOIp3Qxg88Pkw88yiZG3ckrmXX10beqg1id05xglc2sr66pvJ0RPG/iaR59v\nEQY4/gU8A5w9A5zVe0xtTEwsjGq59c0Hv4jRtVVP+1Go5G4DdJSpeK0HF+N/XvAbkS9x7eKw\n9cZyhZyyYfLuwowyACjLr9y+6JiFvWmXEK8D8RvunIrh1wsDh3QigilvrkIg1e7ha/cAgFSh\nPBDPfVzEszGkfxZkaW9EBwAamXRvptf4PzOvZjYVzJnRuYNxqt7dbeMSy1TN7oG2qVUiEyZl\n7winsDOZdWI5ALhzmOv72zY/t6CovjG9AQAAcrlazQ1uPeRXgWNj0MHHnPWBT5t2PLG2NGjp\nkB6L6uNp1smz48ExCoV04WjYR0uuJaZwDfTpX6/sN2GUZ+un+JizmFSySNZ0a0Nc8ZO+CCGE\nEEIIIYQQQgghhBDS7fvvv3/58mVoaOjNmzff9VoQQu+dkd/Nyi7JI17fTnjQ6eOBH4+Yumzi\ngi8iX0jrS6ILuOqD7+SWSuVKWquf5E8qryFenLt/deqAsaoNK/5uGOD4VyKRSJ/vmbV19kEh\nT6R1yNTa5J0siaCQK3Yt+V1VHST7ecH5nRHBE7oT6Q2VmGuJXUK8TCyMJiwNfbsLCHHUKBai\nRyP3sNMRXJh6Pvt8WjVI5VAnPPyoJOmLbraGdACgkknnPnDfHF1y8WUNjUya0818YWBb9xSU\nKpQSuVKf1lhHZMPX/Z6ncqMeFQKAfYB9Tj+vbgdSACDMm5262O9xYYMBnTLA2Yih631BJJZp\n9VCpZBmRdVDCCDE/bHRgYpnAhc2Y52+uR2tT5ZK50/12HYqvqBJo9dtaGa7cFNXJ02zZ4iAz\nTmOlIJlCmV0jZlJJjsaMNt5+V1+LZ3c/qm8Q6+vRKW0oW2LMoOwd6bToWh6R4RjjyZ7d5Z8r\nPYQQQgghhBBCCCGEEEIIoX+RpKSkzZs3L1++XKlUYoADIaSurLoidOVUVXqDUFhRsvbYz4eu\nnyqrLpc2q9yjR6NSySQAAI4nsD2qUy+aMChZNQ0enMZnzWsjn2fVNO7bcPFheK+lY48s/9nb\nwf3vvhfAAMe/V9DQzr8lf58elxt3K/XqgXtEJ41BnfD5W45EtEtlcY1qVxRCbnLRoKm9tIZR\naJT2ztxQw+fXCSwdzEjk1sIBfewNtg22XxNZLJIpOCzq/pFO1gY0rTG5teLzadWQwYWodBDL\nqsmk6aVVkXtHEEcZFNK6ENt1IToKY7REqlB+cj3vaGKlTKEc5GJ0dKyLrSHd2IgR+de0zJwa\noUg25lZJeV3jjiEX0mp62Bp81du6lQndnNk+nmYv0itVPb9sGBibUFrG5ffrabdscZC+nvZN\nvZaNlUHivY92/5ZQUsazstBPesEtKmkoKG4oLmsoLmu4EpF1KTwz7tYsPRbtZaVo/JmMl5Ui\nABjqanxukpsBnQIACiWcTKm6k1NnpkdbGGjhytaR7TAybGvgAwBmdzELdTGKK+ETu8AsvJZX\nI5INdTWe282c8k9F2BBCCCGEEEIIIYQQQggh9J6Ty+Vz5sxxcnJau3btunXr3vVyEELvi5Kq\n8mO3zv54Zm9NQ53OAYUVJTr75/u7k0gA1kFgaM9X0jrtv8YAWWGDIMjGzJVjEF9SrQDltamD\netiaFdUL1t1//ldaQvCXE5IO3LbmtPXD/x2GAY5/MWMzw6BhfkHD/IKGdo65lqhnyBryYW97\nz9aSAX83jrUJQ48uFkhUPdauFtYu5l7dXV4+zSF66ExayISgts8plym2Lz567/QTpVJp5261\n8th8l852rYxf0dt6cXfLonqJswmDrqsUBJcvBYEE7qYBUdNCoYw6n3xzsndof+fmg9tiS3Tp\nwYQK4vXtnPq5l3PDpzduIOLuwi5ukOTX5aqPf1jIa2kqhRLWRBYdiOfye3tYAKkmp8rcVG/V\n0l6fzvUHuRgEFcAwBnq70xsEGyuD778JVjUvXMuY8NFFVTMto+pWVN7YYe5zLucQ6Q0AiMiu\nWx9V8uMQewD4IiL/19hyon9fPDduXidPU2bHVtK0JEP6GE/60xJ+8NE0ohTHhbSaFK7w12GO\nbzgzQgghhBBCCCGEEEIIIYT+G3766aeEhIR79+4xma09mBAIBGPHjlU1hULh3780hNA7k5z7\nsvfnY3kCfntPNKTTulhxqoXiT3f/XCkUj/W02z88YPW9hPx6ZUxxRUxxhR6V+nzhaDe2IQCY\nshinxvfrezQ8vrTqYvSNxWNm/Q23ogEDHP8FgaG+gaG+73oVAABUGuWj9WH7Vpwmmma27IlL\nh5JIpDWnFx9b/1fq4yy2pdEHy4a7+7fj8fylPXfunoohXhdllm396OD+uPWtn6JPI7eSLfC1\n0DOoE/CI9MYr0U+KOhzgiMiuVW/ey6uXyJWq7IiZHo1GJkkVStUAVVGQSoFMoVRa6DcFMnY+\nKfv+QQkAgD5DMMR3vJfJhQ88AAAqkiDjIsjFAAC2fcB1ZMeWqq6qWvsPl4pKgUSujC3WeJt7\nUNAAADyJ/H9Py1WdPIl899PytxWzWBtZLFL7duyL424bbM+ktmlrGIQQQgghhBBCCCGEEEII\n/YdlZGSsW7du/vz5ISEhrY+UyWS3b9/+Z1aFEHq3hGLR+t9/aWN6g0IiWRvoF/F4oAQAaJBI\n51x+NNDJysqAdTNsMDFmuJvNgOM3HxZyAcDPypRIbxCYVMrpsOAKgciAUQQVyWDuC/A3biaA\nAQ70lo1ZONA7yDUxKs2IY9AvLFDPkAkAJhZGS3fPbOMMhRll57ZHVBRVeQQ4T/piaHJ0usbR\n9NJabr2JhVGHV6hPI28e7frZ+WcAAGQAT2uwNExk6lUKZGZ6HfmNMGJo7AjDopJpapU/GBTS\nFz2ttj0qVV19aQ/LWpF86oWs8Kw6AAh2NPxzgpuVAQ0ALmdoZEGuZ9ZJ5Eq6QgDp50Ehbewt\nfggmLmDq3fYV5hXWrVgXmfSC6+xgvHZFn16BtgDQt4dGIRMmg9qvpz2dQuKwKBUCmarf0oAG\nABUCmVoEBQCglCeFt2HZzYIbWRp3LVUo68RyDHAghBBCCCGEEEIIIYQQQv/PKZXKuXPnmpqa\nbtu27bWDDQ0Nq6urVc28vDx/f/+/c3UIoXfgZWHWnJ+WxaQlkEltepjYx97ixPi+d/PK5lx+\nRPRwWIwlQV6epsbjPO1Vw2hk8jd9fUeeusukUvaN0N5Nwo1j6MYxBOBD2imo6gJek9/W7TSH\nAQ709rn7O7arxoa6isLqZYO28GoFAJAY+TLlYaaNq8ZOQlQaRc+I9YYr/GS466UQ59tRuTDY\nBzwsAeBKnbzr/pTEBb4dyHDM97e4kdW0r9I8fwutzNWWwfb+1vq3cupMWdT5ARaubMaCq3nh\nr065n9/w6Y38c5PcAEBrzxcqmUQhA9SXNqU3CPX5bQ9wZOfV+IX8JhDKACAju/phbHHivY9c\nnUy8PUwPbR/+xeo7DTyJkSFj5/eDPN04ALCsl/XKO4Wq07/saQUATiYMW0N6cUPT5jh97Q3a\nuIBW5NeJf4kp0+r0MWdZ6ndwmxiEEEIIIYQQQgghhBBCCP1n7N69Ozo6+tKlS0ZGr/9kL4lE\nYrPZqmZNTc3fuTSE0DugVCrD1s1LK8gEALlS/trxFDKcnRhibcAyYTKIHgM67fFHwz1Mdbyl\ndLZgA8DCAI8uluzmR5twn4NDf9Cz7MD62wIDHOj9EnXhKZHeILyIyRr5ccj9808lIqkSgAQw\n8uMQOrN9T/fDs+ru5Nab6lFndzEjCl2QSHD1xIQfDiduqGj6xS5ukPyWWPFVb+v2rnmcF/vy\nFI8DCVyBVDHWk704UCNxkloh/OFBSX6dONDGYHlva3M9KgDcy6tXH3M3tx4Azr2o5ok13mim\ndTalkEjAMAQt9HYUIJm24AqR3iDw+JKL1zOWLw4CgLnT/T6c1Cm/qN7RzohOb6wj8nUfa3cO\n80pGDYtGntvNPMBaHwBIAKcmuE45n13SIAGAyZ04n3R/03clhUKZUSHS6uSwKKfCXFs/sb5B\nvPu3ZxnZ1Z29zRfO7qrHwrQHQgghhBBCCCGEEEIIIfQfdO7cOQAYO3asVn+vXr0AIC0tzcvL\n6x0sCyH0juSVFxLpjTZaG9zF2oAFAIOdrFzZhtk1DWM87HSmNwCgViQFgM4WJq+fV1SLAQ70\n/wW/VqjVw7Ey/vn219cORTXU8AOH+A6Z0btdE66PKl4XVUy8/vFRafy8Tk4mDABg0ClDRnps\nOJqmPri4XqJjimb2xnF3PimrE8tDXYx/CnUw16OO9jAZ7aHjl7mgTtL3yItakRwAHhbyogsa\nHs/1oZFJZnrUzKYiXmCqR936sFS97oWLCXOKL+e7YBsAAD0LMPWGqldLZRiDZbc23r5MpniW\nXK7VKVaLidDpFHcX7RBZmDc7zFu7s5+DYc6SLmkVQlM9qr0RvY0L0EkglH668tbpi2kKJYCz\nGYR4AK0xPvJTqKOfpV4r5wpFst4j/khNrySa566k3788jYr7rSCE0P9jcomUTKWQyPhvAUII\nIYQQQgghhNB/TUhIiJmZmXpPSkpKenr6gAEDOBxOW8pyIIT+1W7E3tt39fc6Xr2Xg9uUAWM9\n7Jy1Bvi7+yZkpqiaNApFKm96EsqTNH7K3ZBBi5o19IfoZG8z3e8bClD+mcu3NbPOq9f+/LkW\niVzBFSrsOnI3bYIBjn+xhhq+UqE0Mm3fThZ3Tj6+c+qxXKboPcZ/9Pz+ZMpbeNpRmltRmFFm\n52aptd1JB3Qb4P3nT9dVTSOOvru/k54hc8muDzswm1i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PJZqhrsbjvdmqowy6RiSKRiV3OL0BAN7mLFc2I7tGrOoZ7WEiVShX3Co8klgh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\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/9WFoYQQgghhBBCCCGEEELvJ0zgMDl5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RNQET1t2AygA9eyh8ptmKRVGcH8zu4GsL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\nAGC7LUKzfWo+BQy1J2/Coa3vZQO8XIg5AhWy7uPMJJXlSXeLg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8pkJVVllkZmyqKRbs2uFSRAnIEoxpdzrTBfXXnpQejLzGRvB7dA34D9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g1a9AETUq/2vkEPcTOLQAv/rekkIQBPnXY7Et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EIIof+myC+2P/dYOosZMedDtoVZt2Vv+ozs14xRIYQQqpulN4Sv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\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uQMdRP9kSMGHtr3ksvhA4CFs/GIhe8YTCs5GHJq+/kDVXXVgR5dtk5drq+pi+P4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AiPiCsLX7HEf2I2q0uJdWaOSLD0WXJ5Sx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\nxaaEW2zJPfDzGf3LHj17vz8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vD11az8SijtoTGoW2Y+7esotFa6bHxvj/GdikKq/GXF7v+dfqP9y2KkpbLGKqe5oua/I+B4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\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Jw/f769vT2Z/CFrRv8FRALRgR/Py4sV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\nfeK6UxTFslcXVffxk29EBrSVjJBo0SuvvPL111+7NE6bN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Ruse0W0TmxsLICKioqBAwdGRkZSFBUaGrp27VpXV9f2PdGDPMH19Ep0sUdq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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": 117, "metadata": {}, "outputs": [], "source": [ "dataset = 'BMcov2500'" ] }, { "cell_type": "code", "execution_count": 118, "metadata": {}, "outputs": [], "source": [ "saveRDS(fm_control, file = paste0(path_fm,'FM_Control_',dataset,'.rds'))\n", "saveRDS(fm_BROCKMAN, file = paste0(path_fm,'FM_BROCKMAN_',dataset,'.rds'))\n", "saveRDS(fm_Cusanovich2018, file = paste0(path_fm,'FM_Cusanovich2018_',dataset,'.rds'))\n", "saveRDS(fm_cisTopic, file = paste0(path_fm,'FM_cisTopic_',dataset,'.rds'))\n", "saveRDS(fm_chromVAR_kmer, file = paste0(path_fm,'FM_chromVAR_',dataset,'_kmers.rds'))\n", "saveRDS(fm_chromVAR_motif, file = paste0(path_fm,'FM_chromVAR_',dataset,'_motifs.rds'))\n", "saveRDS(fm_chromVAR_kmer2, file = paste0(path_fm,'FM_chromVAR_',dataset,'_kmers_pca.rds'))\n", "saveRDS(fm_chromVAR_motif2, file = paste0(path_fm,'FM_chromVAR_',dataset,'_motifs_pca.rds'))\n", "saveRDS(fm_GeneScoring, file = paste0(path_fm,'FM_GeneScoring_',dataset,'.rds'))\n", "saveRDS(fm_GeneScoring2, file = paste0(path_fm,'FM_GeneScoring_',dataset,'_pca.rds'))\n", "saveRDS(fm_Cicero, file = paste0(path_fm,'FM_Cicero_',dataset,'.rds'))\n", "saveRDS(fm_Cicero2, file = paste0(path_fm,'FM_Cicero_',dataset,'_pca.rds'))\n", "saveRDS(fm_SnapATAC, file = paste0(path_fm,'FM_SnapATAC_',dataset,'.rds'))\n", "saveRDS(fm_Scasat, file = paste0(path_fm,'FM_Scasat_',dataset,'.rds'))\n", "saveRDS(fm_scABC, file = paste0(path_fm,'FM_scABC_',dataset,'.rds'))\n", "# saveRDS(fm_scABC2, file = paste0(path_fm,'FM_scABC_',dataset,'_pca.rds'))\n", "saveRDS(fm_SCRAT, file = paste0(path_fm,'FM_SCRAT_',dataset,'.rds'))\n", "saveRDS(fm_SCRAT2, file = paste0(path_fm,'FM_SCRAT_',dataset,'_pca.rds'))" ] }, { "cell_type": "code", "execution_count": 119, "metadata": {}, "outputs": [], "source": [ "saveRDS(df_umap_control,paste0(path_umap,'df_umap_control.rds'))\n", "saveRDS(df_umap_BROCKMAN,paste0(path_umap,'df_umap_BROCKMAN.rds'))\n", "saveRDS(df_umap_Cusanovich2018,paste0(path_umap,'df_umap_Cusanovich2018.rds'))\n", "saveRDS(df_umap_cisTopic,paste0(path_umap,'df_umap_cisTopic.rds'))\n", "saveRDS(df_umap_chromVAR_kmer,paste0(path_umap,'df_umap_chromVAR_kmer.rds'))\n", "saveRDS(df_umap_chromVAR_kmer2,paste0(path_umap,'df_umap_chromVAR_kmer2.rds'))\n", "saveRDS(df_umap_chromVAR_motif,paste0(path_umap,'df_umap_chromVAR_motif.rds'))\n", "saveRDS(df_umap_chromVAR_motif2,paste0(path_umap,'df_umap_chromVAR_motif2.rds'))\n", "saveRDS(df_umap_GeneScoring,paste0(path_umap,'df_umap_GeneScoring.rds'))\n", "saveRDS(df_umap_GeneScoring2,paste0(path_umap,'df_umap_GeneScoring2.rds'))\n", "saveRDS(df_umap_Cicero,paste0(path_umap,'df_umap_Cicero.rds'))\n", "saveRDS(df_umap_Cicero2,paste0(path_umap,'df_umap_Cicero2.rds'))\n", "saveRDS(df_umap_SnapATAC,paste0(path_umap,'df_umap_SnapATAC.rds'))\n", "saveRDS(df_umap_Scasat,paste0(path_umap,'df_umap_Scasat.rds'))\n", "saveRDS(df_umap_scABC,paste0(path_umap,'df_umap_scABC.rds'))\n", "# saveRDS(df_umap_scABC2,paste0(path_umap,'df_umap_scABC2.rds'))\n", "saveRDS(df_umap_SCRAT,paste0(path_umap,'df_umap_SCRAT.rds'))\n", "saveRDS(df_umap_SCRAT2,paste0(path_umap,'df_umap_SCRAT2.rds'))" ] }, { "cell_type": "code", "execution_count": 120, "metadata": {}, "outputs": [], "source": [ "saveRDS(se,paste0(workdir,'se.rds'))" ] }, { "cell_type": "code", "execution_count": 121, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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control
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0.117619208494822
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chromVAR_motif
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chromVAR_kmer
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Cusanovich2018
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0.869793605804443
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GeneScoring
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0.173402599493663
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BROCKMAN
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12.5825482408206
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\n" ], "text/latex": [ "\\begin{description*}\n", "\\item[control] 0.117619208494822\n", "\\item[chromVAR\\textbackslash{}\\_motif] 1.15229188203812\n", "\\item[chromVAR\\textbackslash{}\\_kmer] 2.57560350497564\n", "\\item[Cusanovich2018] 0.869793605804443\n", "\\item[Cistopic] 7.6868919968605\n", "\\item[GeneScoring] 0.0226549029350281\n", "\\item[Cicero] 9.37617448965708\n", "\\item[SnapATAC] 0.0555309057235718\n", "\\item[scABC] 0.164968156814575\n", "\\item[SCRAT] 0.763897204399109\n", "\\item[Scasat] 0.173402599493663\n", "\\item[BROCKMAN] 12.5825482408206\n", "\\end{description*}\n" ], "text/markdown": [ "control\n", ": 0.117619208494822chromVAR_motif\n", ": 1.15229188203812chromVAR_kmer\n", ": 2.57560350497564Cusanovich2018\n", ": 0.869793605804443Cistopic\n", ": 7.6868919968605GeneScoring\n", ": 0.0226549029350281Cicero\n", ": 9.37617448965708SnapATAC\n", ": 0.0555309057235718scABC\n", ": 0.164968156814575SCRAT\n", ": 0.763897204399109Scasat\n", ": 0.173402599493663BROCKMAN\n", ": 12.5825482408206\n", "\n" ], "text/plain": [ " control chromVAR_motif chromVAR_kmer Cusanovich2018 Cistopic \n", " 0.11761921 1.15229188 2.57560350 0.86979361 7.68689200 \n", " GeneScoring Cicero SnapATAC scABC SCRAT \n", " 0.02265490 9.37617449 0.05553091 0.16496816 0.76389720 \n", " Scasat BROCKMAN \n", " 0.17340260 12.58254824 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "running_time" ] }, { "cell_type": "code", "execution_count": 122, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "R version 3.5.1 (2018-07-02)\n", "Platform: x86_64-conda_cos6-linux-gnu (64-bit)\n", "Running under: CentOS Linux 7 (Core)\n", "\n", "Matrix products: default\n", "BLAS/LAPACK: /data/pinello/SHARED_SOFTWARE/anaconda3/envs/ATACseq_simulation/lib/R/lib/libRblas.so\n", "\n", "locale:\n", " [1] LC_CTYPE=en_US.UTF-8 LC_NUMERIC=C \n", " [3] LC_TIME=en_US.UTF-8 LC_COLLATE=en_US.UTF-8 \n", " [5] LC_MONETARY=en_US.UTF-8 LC_MESSAGES=en_US.UTF-8 \n", " [7] LC_PAPER=en_US.UTF-8 LC_NAME=C \n", " [9] LC_ADDRESS=C LC_TELEPHONE=C \n", "[11] LC_MEASUREMENT=en_US.UTF-8 LC_IDENTIFICATION=C \n", "\n", "attached base packages:\n", " [1] grid splines parallel stats4 stats graphics grDevices\n", " [8] utils datasets methods base \n", "\n", "other attached packages:\n", " [1] jackstraw_1.3 BrockmanR_0.0.0.9000 \n", " [3] tsne_0.1-3 prabclus_2.2-7 \n", " [5] mclust_5.4.3 cisTopic_0.2.1 \n", " [7] umap_0.2.1.0 cicero_1.0.15 \n", " [9] Gviz_1.26.5 monocle_2.10.1 \n", "[11] DDRTree_0.1.5 VGAM_1.0-6 \n", "[13] irlba_2.3.3 Matrix_1.2-17 \n", "[15] motifmatchr_1.4.0 JASPAR2016_1.12.0 \n", "[17] BSgenome.Hsapiens.UCSC.hg19_1.4.0 BSgenome_1.50.0 \n", "[19] rtracklayer_1.42.1 Biostrings_2.50.2 \n", "[21] XVector_0.22.0 chromVAR_1.4.1 \n", "[23] SummarizedExperiment_1.12.0 DelayedArray_0.8.0 \n", "[25] BiocParallel_1.16.6 matrixStats_0.54.0 \n", "[27] Biobase_2.42.0 GenomicRanges_1.34.0 \n", "[29] GenomeInfoDb_1.18.1 IRanges_2.16.0 \n", "[31] S4Vectors_0.20.1 BiocGenerics_0.28.0 \n", "[33] cowplot_0.9.4 stringr_1.4.0 \n", "[35] BuenColors_0.5.5 ggplot2_3.1.1 \n", "[37] MASS_7.3-51.4 dplyr_0.8.0.1 \n", "[39] data.table_1.12.2 \n", "\n", "loaded via a namespace (and not attached):\n", " [1] reticulate_1.12 R.utils_2.8.0 \n", " [3] tidyselect_0.2.5 poweRlaw_0.70.2 \n", " [5] RSQLite_2.1.1 AnnotationDbi_1.44.0 \n", " [7] htmlwidgets_1.3 gmp_0.5-13.4 \n", " [9] combinat_0.0-8 docopt_0.6.1 \n", " [11] Rtsne_0.15 munsell_0.5.0 \n", " [13] codetools_0.2-16 DT_0.6 \n", " [15] pbdZMQ_0.3-3 miniUI_0.1.1.1 \n", " [17] withr_2.1.2 RcisTarget_1.3.6 \n", " [19] colorspace_1.4-1 fastICA_1.2-1 \n", " [21] knitr_1.22 uuid_0.1-2 \n", " [23] geometry_0.4.0 rstudioapi_0.10 \n", " [25] labeling_0.3 slam_0.1-45 \n", " [27] FD_1.0-12 repr_1.0.0 \n", " [29] GenomeInfoDbData_1.2.1 bit64_0.9-7 \n", " [31] pheatmap_1.0.12 xfun_0.6 \n", " [33] biovizBase_1.30.1 R6_2.4.0 \n", " [35] rsvd_1.0.0 AnnotationFilter_1.6.0 \n", " [37] bitops_1.0-6 assertthat_0.2.1 \n", " [39] promises_1.0.1 scales_1.0.0 \n", " [41] nnet_7.3-12 gtable_0.3.0 \n", " [43] npsurv_0.4-0 ensembldb_2.6.8 \n", " [45] seqLogo_1.48.0 rlang_0.3.4 \n", " [47] lazyeval_0.2.2 acepack_1.4.1 \n", " [49] dichromat_2.0-0 checkmate_1.9.3 \n", " [51] abind_1.4-5 reshape2_1.4.3 \n", " [53] GenomicFeatures_1.34.8 backports_1.1.4 \n", " [55] httpuv_1.5.1 qvalue_2.16.0 \n", " [57] Hmisc_4.2-0 tools_3.5.1 \n", " [59] feather_0.3.3 nabor_0.5.0 \n", " [61] RColorBrewer_1.1-2 Rcpp_1.0.1 \n", " [63] plyr_1.8.4 base64enc_0.1-3 \n", " [65] progress_1.2.0 zlibbioc_1.28.0 \n", " [67] purrr_0.3.2 RCurl_1.95-4.12 \n", " [69] densityClust_0.3 prettyunits_1.0.2 \n", " [71] rpart_4.1-15 viridis_0.5.1 \n", " [73] ggrepel_0.8.1 cluster_2.0.9 \n", " [75] magrittr_1.5 RSpectra_0.14-0 \n", " [77] RANN_2.6.1 ProtGenerics_1.14.0 \n", " [79] fitdistrplus_1.0-14 hms_0.4.2 \n", " [81] lsei_1.2-0 mime_0.6 \n", " [83] evaluate_0.13 xtable_1.8-3 \n", " [85] XML_3.98-1.19 AUCell_1.5.5 \n", " [87] sparsesvd_0.1-4 gridExtra_2.3 \n", " [89] HSMMSingleCell_1.2.0 compiler_3.5.1 \n", " [91] biomaRt_2.38.0 tibble_2.1.1 \n", " [93] crayon_1.3.4 R.oo_1.22.0 \n", " [95] htmltools_0.3.6 corpcor_1.6.9 \n", " [97] mgcv_1.8-28 later_0.8.0 \n", " [99] Formula_1.2-3 TFBSTools_1.20.0 \n", "[101] snow_0.4-3 tidyr_0.8.3 \n", "[103] DBI_1.0.0 ClusterR_1.1.9 \n", "[105] magic_1.5-9 ade4_1.7-13 \n", "[107] readr_1.3.1 permute_0.9-5 \n", "[109] R.methodsS3_1.7.1 igraph_1.2.4.1 \n", "[111] pkgconfig_2.0.2 GenomicAlignments_1.18.1 \n", "[113] TFMPvalue_0.0.8 foreign_0.8-71 \n", "[115] IRdisplay_0.7.0 plotly_4.9.0 \n", "[117] foreach_1.4.4 annotate_1.60.1 \n", "[119] lda_1.4.2 DirichletMultinomial_1.24.1\n", "[121] VariantAnnotation_1.28.13 digest_0.6.18 \n", "[123] vegan_2.5-4 CNEr_1.18.1 \n", "[125] graph_1.60.0 htmlTable_1.13.1 \n", "[127] GSEABase_1.44.0 curl_3.3 \n", "[129] shiny_1.3.2 Rsamtools_1.34.0 \n", "[131] gtools_3.8.1 glasso_1.10 \n", "[133] nlme_3.1-139 jsonlite_1.6 \n", "[135] viridisLite_0.3.0 limma_3.38.3 \n", "[137] pillar_1.3.1 lattice_0.20-38 \n", "[139] KEGGREST_1.22.0 httr_1.4.0 \n", "[141] survival_2.44-1.1 GO.db_3.7.0 \n", "[143] glue_1.3.1 qlcMatrix_0.9.7 \n", "[145] FNN_1.1.3 png_0.1-7 \n", "[147] iterators_1.0.10 bit_1.1-14 \n", "[149] stringi_1.4.3 blob_1.1.1 \n", "[151] lfa_1.14.0 doSNOW_1.0.16 \n", "[153] latticeExtra_0.6-28 caTools_1.17.1.2 \n", "[155] memoise_1.1.0 IRkernel_1.0.1 \n", "[157] ape_5.3 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sessionInfo()" ] }, { "cell_type": "code", "execution_count": 123, "metadata": {}, "outputs": [], "source": [ "save.image(file = './run_methods_bonemarrow_cov2500.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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