{ "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$umap_2)\n", " options(repr.plot.width=4, repr.plot.height=4)\n", " p <- ggplot(shuf(df_umap), aes(x = umap_1, y = umap_2, color = label)) +\n", " geom_point(size = 1) + scale_color_manual(values = colormap) +\n", " ggtitle(title)\n", " return(p)\n", "}" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Input" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "workdir = '../output/'\n", "path_umap = paste0(workdir,'umap_rds/')\n", "path_fm = paste0(workdir,'feature_matrices/')\n", "system(paste0('mkdir -p ',path_umap))\n", "system(paste0('mkdir -p ',path_fm))" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "df_count = readRDS('../input/bonemarrow_noisy_p4.rds')\n", "\n", "df_sample = read.table('../input/metadata.tsv',stringsAsFactors = FALSE)\n", "\n", "df_region = data.frame(do.call(rbind,strsplit(rownames(df_count),'_')),stringsAsFactors = FALSE)\n", "colnames(df_region) <- c(\"chr\", \"start\", \"end\")\n", "df_region$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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0xSEkyCAA0AAKArGxsbd3d3lUZnZ2eTFANT4SJCAAAAQA8EaAAAAEAPBGgAAABA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"text/plain": [ "Plot with title \"Number of Sites Each Cell Uses\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "se <- select_peaks(se)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "class: RangedSummarizedExperiment \n", "dim: 80000 1200 \n", "metadata(0):\n", "assays(1): counts\n", "rownames(80000): chr1_15985_16485 chr1_18499_18999 ...\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 0.2735442 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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d9//7158+YVK1Zs2bJF8BUdAOByuWFhYRKFiRD6djHpNHcLXQob9Pb23rJly65d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\nAKMQ0AAAjEJAAwAwCgENAMCo/wFXwO4zyocLOQAAAABJRU5ErkJggg==", "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 1.207795 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 2.769013 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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fkdcIYIIdQ5YXxuFCbQCLUhjipP3cyQwX57q0fXwerTK78uyv531oOz3UZ+DgN/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A0X54svYk4e5ZeZ032c+dPy4J4nhEsSVu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\nhBBCCCFkBUygEUIIIYQQssL/B/6gTNRyne6KAAAAAElFTkSuQmCC", "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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gAA8HA0XX38uGVBVXq6q2IBgI4ACTQAAHg22mSijUbLErPB4KpgAKAjQAINAACe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\nWqFUHjp0KHzTjDkg5ySJHTmfVdRnE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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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LAwKCiI3t2GDRu8vLyom+upwjpFbbpL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VCgBqPX6Lxe7L2JeMTWeR3+DgYeDxAdRQwkoIMVfxUnQAACAASURBVCUaD/eAkEcb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\nFXF0co1+S21N4yrRwdoqH53McFj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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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fxRiVar/e233+zt7Q1P6wJA/WjsK9DMOHjwIBG9/PLL7Octer1++vTpRHTs2DFW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\nAAAAAElFTkSuQmCC", "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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mpUtFmzZmVlZUQjEzRBEBUVFfv37/fw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\nry0IOAg2YHzACZiD5p5SqSSisbExi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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 0.6627712 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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HEjMTGRk5N6TsTExPTv3x/pDNBaKQ9oOrTa3t4+JCQkICBAX19fJpNFR0crXTkk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\nAEYKK2gAgJFCQAMAjNQbn8YK8kIxKd8AAAAASUVORK5CYII=", "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 7.633135 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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+3a1bFjx99++03Rp7i4uG/fvlu2bLG3t//0008dHR2Dg4M9PDzy87l50K1qap2K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\nAhoAQKEQ0AAACoWABgBQqJ9ABHqVsY6U3wAAAABJRU5ErkJggg==", "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 0.01835772 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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dBXc/Gxa2uQfuvhvoZeLgWRsSxNNX0Pp0SZHy2cpvZVIhD/JN+MQNfV1Q0dOjQ8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+ueD/A6ZsHGFiK9oWVlIjLT4yuevx38DQoUMn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\nMEEjhJCM+j8UXYXrfHTtqgAAAABJRU5ErkJggg==", "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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zB57TI4bt68SURlZWWjRo1ycHBwdHScMmVKamoqm1tSUiKTyQICAgyW8vPzKyoq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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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CAQGBsbDx48+O7du9XzxMbGjh8/3tramsPhWFtbBwUFJSYmNvx5NCAM0AihRkCS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\nSLuArqC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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "p_GeneScoring2 <- plot_umap(df_umap_GeneScoring2,labels = labels,colormap = colormap,title='Gene Scoring after PCA')\n", "p_GeneScoring2" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Cicero" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [], "source": [ "run_Cicero <- function(se,genome,file_tss){\n", " if(genome == 'hg19'){\n", " data(\"human.hg19.genome\")\n", " genome_ref = human.hg19.genome\n", " }else{\n", " stop(paste0(genome,' is not supported'))\n", " }\n", " fData <- data.frame(chromosome=seqnames(rowRanges(se)),bp1=start(rowRanges(se)),bp2=end(rowRanges(se)),\n", " stringsAsFactors = FALSE)\n", " peaknames = paste(fData$chromosome,fData$bp1,fData$bp2,sep = \"_\")\n", " rownames(fData)<- peaknames\n", " fData <- cbind(site_name = peaknames, fData) \n", " pData <- data.frame(label=colData(se)$label,stringsAsFactors = FALSE)\n", " rownames(pData) = colnames(se) \n", " pd <- new(\"AnnotatedDataFrame\", data = pData)\n", " fd <- new(\"AnnotatedDataFrame\", data = fData) \n", " binary_mat = as.matrix((assays(se)$counts > 0) + 0)\n", " binary_mat = Matrix(binary_mat, sparse = TRUE) \n", " input_cds <- newCellDataSet(binary_mat,phenoData = pd, featureData = fd,\n", " expressionFamily=VGAM::binomialff(),\n", " lowerDetectionLimit=0)\n", " input_cds@expressionFamily@vfamily <- \"binomialff\"\n", " set.seed(2019)\n", " input_cds <- detectGenes(input_cds)\n", " input_cds <- estimateSizeFactors(input_cds)\n", " input_cds <- reduceDimension(input_cds, max_components = 2, num_dim=15,\n", " reduction_method = 'tSNE', norm_method = \"none\") \n", " tsne_coords <- t(reducedDimA(input_cds))\n", " row.names(tsne_coords) <- row.names(pData(input_cds))\n", " cicero_cds <- make_cicero_cds(input_cds, reduced_coordinates = tsne_coords)\n", " conns <- run_cicero(cicero_cds, genome_ref) # Takes a few minutes to run\n", " \n", " gene_annotation <- read.table(file_tss,sep='\\t')\n", " names(gene_annotation)[4] <- \"gene\" \n", " gene_annotation_pos <- subset(gene_annotation, V5 == \"+\")\n", " gene_annotation_neg <- subset(gene_annotation, V5 == \"-\")\n", " gene_annotation_pos$V3 <- gene_annotation_pos$V2 + 1\n", " gene_annotation_neg$V2 <- gene_annotation_neg$V3 - 1\n", " tss <- rbind(gene_annotation_pos, gene_annotation_neg) \n", " \n", " input_cds <- annotate_cds_by_site(input_cds, tss)\n", " # generate unnormalized gene activity matrix\n", " unnorm_ga <- build_gene_activity_matrix(input_cds, conns)\n", " unnorm_ga <- unnorm_ga[!Matrix::rowSums(unnorm_ga) == 0,]\n", "\n", " # make a list of num_genes_expressed\n", " num_genes <- pData(input_cds)$num_genes_expressed\n", " names(num_genes) <- row.names(pData(input_cds))\n", "\n", " # normalize\n", " cicero_gene_activities <- normalize_gene_activities(unnorm_ga, num_genes) \n", " fm_Cicero = as.matrix(cicero_gene_activities)\n", " return(fm_Cicero)\n", "}" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [], "source": [ "start_time <- Sys.time()" ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Warning message in newCellDataSet(binary_mat, phenoData = pd, featureData = fd, :\n", "\"Warning: featureData must contain a column verbatim named 'gene_short_name' for certain functions\"Warning message in newCellDataSet(binary_mat, phenoData = pd, featureData = fd, :\n", "\"Warning: featureData must contain a column verbatim named 'gene_short_name' for certain functions\"Warning message in newCellDataSet(binary_mat, phenoData = pd, featureData = fd, :\n", "\"Warning: featureData must contain a column verbatim named 'gene_short_name' for certain functions\"Overlap QC metrics:\n", "Cells per bin: 50\n", "Maximum shared cells bin-bin: 44\n", "Mean shared cells bin-bin: 2.32314781768942\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 10.09595 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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NRj6jaWyxUe5HH5Sip0TkMTYJiatsrMzWNP/XCtsY6Ln521dTyqAo7oXD4bgebx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f379/n07/WPfBd0QLQf9NKH+TKhYIy7I0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\nwFP/A/2id16+o3DzAAAAAElFTkSuQmCC", "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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ZOjDg4Ocrk8JSXFoJ6SkuLh4WFnZ2eUXgmlLSvTNvioCsBkmdyIg4jCwsL27duX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\nAAAAAElFTkSuQmCC", "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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GBsKzsAOB6VFF9QFJdbKNvIjcRMKMKe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\nOh1mJeDAWYid+OWlVWJmAj47CoAFM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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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pWXF547R8dUyck0Naiy69fZj6flHDxoXIfs774jgkCHMxMTWRPpKyqy//Ofmg1l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\nAwC4/T8qDeduybqLmQAAAABJRU5ErkJggg==", "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 0.05344446 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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ev+c3E3O4BGgr7Xs4uLS2RkpLDx7du39B2chSEg8W525eXlmzZtoiiKw+EkJCTQ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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "p_SnapATAC <- plot_umap(df_umap_SnapATAC,labels = labels,colormap = colormap,title='SnapATAC')\n", "p_SnapATAC" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### scABC" ] }, { "cell_type": "code", "execution_count": 77, "metadata": {}, "outputs": [], "source": [ "sort_peaks <- function(peaks){\n", " return(peaks[order(peaks$chrom, peaks$start), ])\n", "}\n", "peaks2GRanges <- function(peaks, upstream = 0, downstream = 0){\n", " peaks.gr = with(peaks, GenomicRanges::GRanges(chrom, IRanges::IRanges(sapply(start, function(x) max(0, x - upstream)), end + downstream)))\n", "}" ] }, { "cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [], "source": [ "run_scABC <- function(se){\n", " \n", " fm_scABC = as.matrix(assays(se)$counts)\n", "\n", "############################################################################################################ \n", "# The following code is used to calculate the weigths of cells in scABC. Since in scABC \n", "# the weights are not used to normalize the raw count matrix, instead it's used for k-medoid clustering \n", "# (the feature matrix used is the peaks by cells raw count matrix), \n", "# here for scABC, we consider the running time as the time used for computing weights \n", "############################################################################################################ \n", " \n", " se_scABC = se\n", " df_peaks <- data.frame(chrom=seqnames(rowRanges(se_scABC)),\n", " start=start(rowRanges(se_scABC))-1,\n", " end=end(rowRanges(se_scABC)))\n", " df_peaks = sort_peaks(df_peaks)\n", " background_peaks.gr = peaks2GRanges(df_peaks, upstream=500000, downstream=500000)\n", " foreground_peaks.gr = rowRanges(se_scABC) \n", " fg_mat = assays(se_scABC)$counts\n", " ov_peaks = findOverlaps(background_peaks.gr, foreground_peaks.gr)\n", " m <- Matrix::sparseMatrix(i = c(queryHits(ov_peaks), length(background_peaks.gr)),\n", " j = c(subjectHits(ov_peaks), length(foreground_peaks.gr)))\n", " bg_mat = m %*% fg_mat \n", " weights = apply(bg_mat, 2, mean);\n", " c = min(8, mean(weights))\n", " # compute weighted k-medioids\n", " lambda = 0.1\n", " weights = 1/(1 + exp(-(weights - c)/(c*lambda)));\n", " return(fm_scABC)\n", "}" ] }, { "cell_type": "code", "execution_count": 79, "metadata": {}, "outputs": [], "source": [ "start_time <- Sys.time()" ] }, { "cell_type": "code", "execution_count": 80, "metadata": { "scrolled": true }, "outputs": [], "source": [ "fm_scABC = run_scABC(se)" ] }, { "cell_type": "code", "execution_count": 81, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Time difference of 0.1665811 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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k1vvXrNLerIVi5wlvEAZMarZtnFQllcobCBhVEDCx0p/6e3Z9ctsRIqRV9JJZLz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\nYXE/5341e9PrAo9nL30G4FB0buPOesroDMDd3V2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lXSPUEeOM5tS3gz+6h4FKAfCb2vhJs48qr15tjcAdcJEAACAASURBVM6olMgPZ35t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\nzDqSAcNl4nDPJdMq3iYnn7ouaGqxDvD2WDxVN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dS+09wchlrnpBSpapN6DTABAC6XS5DFs5jtcQl5JdH1Ull5ma23F9dXNDEZTE1DNcGk\nJgwW7R3qDKHO60cfFFFnABg8diBe5rsLVn9fiGrKoXGXyz+kMClUXSc7fjeff5GpU6dGR0ff\nuHHD1dW1oqJiyZIlnR/zc+gegR48eLD4TjKZXFZWVlVVhUajZ8yYoaLyH+8H0St4WMqJaL4E\nW472Ue0t5FvmunHBw7A1SA8qvDzRafVsFXMjiTUsiK3owGVhBU/fkqvqAIADEG3QWCjHKMxK\nfLMjkcPlhAwe+XjOBr46Kxnpmo30PNFrGL2pFS8vJ3LCb+djyt4lq1pJ9VHDenoYyqGViFIX\n2VgU2uR3VzKuPmJRaMbDXPVc2pPGnuU3D4vitYi9k9VY0Ejf7ilUUyqLRfeVYpmUUCEkTzVk\nZkEjzUylfW7+rECop+3T/PZNB22iOhFXS+EtjZa1SG7uJfQtGKzzm2LE92MkuFwLoa6voq7f\n/geMQqGGT3e/eeApf4+Oqcb5TTFG1rruo/ujBc6mKqVRbFlu1bU9j7/GZYu/Zesq5bb93wWD\nxxl4fJ+F70/Fy8tLR0fn/v37TU1NaDQ6JCTk37qS7hHo2NhYaW99+PBh4sSJsbGxCQkJ0sb8\nN2BR6UN2hVcnpVPrmzTtrcwDPUUGmAxzm/TmcsGTtxg8zjxwqJyWGgAMXD7dcoxPzbec4pcf\nS94kAArVa8ywQcunA4CCrqbnzvD7U8O5AActa0uI7QJ07sk1F7aGoPtdc1F53Op9yGtGm4Ql\npsa8YgxBeF6GQqlaGqHQaMvRwxwWTNqMxdT5kq4Oi+VPkwGASpC97xJUqGNsRG9uy2qeK2lh\n8FiiULLz0c/V2zz1uliYLBKXwKJRysJdZZUImDpKe1qFoKn07g9VfHUGgJXPS2bZq3dcEV5f\n1YwsACIgFZe2rhbSHEezkwof/BVLbqY6eFn7TnMT9DmaunGUhoHqx4dfZGQJpbmVd47xGpLF\nXk/YeH2+eBGA0GVUNq3w3tVS3wbCfdDQaNSCg5OMbf67lgm/CRgMJiQkZN++feXl5Z6enrq6\nXXo4+xl0j0B3gLOzc1RUlJub24YNGw4dOtT5Ab8nSUejPmw/zmYwMXi8y7o/LIIkZ+Qomxk6\nLBCtuUAc48wDRAUdAIpexQMAF8WtkhFKoWujkVvKvrtoU15Hsy49j79ZowiTHx1XVWzXJjVr\ns6Br+99uPEyuqVO3tmgpKd9t5oXmchff2C9Dp9JuwMmA4XPObuRyuQVP3jbmFatamRkPdWoQ\nrjppY3BoLE7HFdV8Fg3UPP+lrvHvjt1cLld9d7KHkeL5kSYGSngAmO2gsepFKX/8XIf2wve8\nRqFVSjKTU9HKRI6SBg6HkScR25p49dkoANO+BmsuSQ77ZCYURIzYg4SePz78UpJV8ceeiQDA\nYrKbalpUtJT8Z3n4z/J4fzd5+6T2BP+EJ18zPuZbO3VkDfrhXgqiziCgzjgCdtONhXb/n5YH\nfzbS0uwAYO/evQ4ODh0cO3Xq1D179pSWlor0/P7F/HSBBgBXV1cNDY2YmJj/mEC3lFQmHr7U\nXFQmp6WWEc2rMmAzGG82HDTwGKQmPZ4gTv6juNx7rzB4bO/xfoLRAzQOCwBoLqpXC+ErqV2P\n/Ad5afaW8p8s3bVIf7jL7aSXdg0yKIBKWeYFnUb8nXObpizjD2AzmB93nkYSRdoqagdGzC1q\nMll7Zh2ByZu8U+8/zo5xzrz2qOhlPPI5FqO8PSf98bakPY/VxUBeXJ0bq1sen3vTXNdq42Lh\nGmTPn2AakQhpf9icTql9nt/yrrQVsdB4XdQy5U5+7NTeALDSWVtVFns9owGDgil91SZYt0eK\n+2gQkfA0gqosVk/6OmFeSvHumWdKc6owWDQGi0aaVJnZGe58tFya4cajM3GCOdEPTsVOWRf0\nJubz6TU3qW00JTWFBQdDXQLta8TKtauL6joWaEorVeT35DPFdUL4CC1DqWXoSc/T0z/mqWgp\nDZ3o2KlDSA8I0tLsAKCxsZO+NjY2Nr179y4uLh49enT3X1mX+RUCDQBsNru2trbzcb8P1PrG\na74zyDWSvRQqE791XaC//HUtdg0vOpF+5cGI09v5E3DLIO/U0zcAYGypMgfVlKlEIxBkwoaN\nj5iwAItGo7FYDkuye4YQfCnorXfJsP6WLprAQTXi2QCQV1EoODDz2kPBZcmEyBMm/rP56oyQ\nfftZ0ct4+PuUOTHPw6YH59ioXk2r5wL015E7Fyja0KCuvHGBy1Zkznj/5OvAuZ5zd0/gv6uj\ngN/griso8QDwtqS1jcGWx2NQADPs1GfYqYMY4S7aD3ObUqspACCLRf/lbywtvMFhc7ZNOoEo\nKSLNgX8MdfLra+tqwaAzU15lAApl7WiGlxUKAbXUCV0Sl8M9vfb604s89+3mutY9s85aOhib\n9hPthyC+RwS7IVZ/e0YDF0BeiTh96xhFFd7KAZfLfXcnOflluoKynG+Ym46Jxqk1N2IOP0fe\nvX3w2aF36+RJUtsg9AAACxYsWLBgQafDOkg/a25uLiwsDA4O/net735FHvTp06fr6+tNTL67\nEcn/MnkPYqWpMwDIa0mdComQXZr/co9QBfzzhVuZFF56gI5j34BLu7UH2OrqGexzmlp3MbH1\nfvaRhdtwWGzyiWjJ6iwuUigAAIf5odZ9+xEJshQspxHPxnNQxmR8PxmhYuj67EKRQweoiSbn\n17FF97QVll0Zbdq4yqFqud3nmdYmyqIrjQ9Px/Gf6AHg/snX4qkLIh0L8Rg0obMgSVpqpfnn\nfLuCyoly3PQ5VqN7SzVIqiioEZnnUluofQf3Ks+rnuOwce3IA2sD98/uv6GiQCiYbmIrahOa\nkyzUKohOYWR8zOvjZhk4tz08NXndSMPenZSYWzgYLT4yRUFZDgC0jdTXXp7LV2cAuLApZseU\nk08vvLt54OkCp61p73P46gwAVcV1j87ESThpD93Kzp07aTTarFmz/t3L6J4Z9IoVK8R3crlc\nGo2Wnp6OuHNMmTKlWz7rfwR6c6u0WIJmv94kU0NqfZOsquQVfD6JOV/dlo7a3KSKETgTk0pL\nv3yv32xeYyTT4e6mw93Fj82JkRxcAwBNu95oLLatokbbwUbT3opFpes49tV36w8Ajr3tX315\nb9JGmFaoosBCw7Y7t99WBF7ejSQ1K5uJxsc3zPPZ8eGVRQ4v2aBZTvGClc/U57GCY9StzQBA\niYBREmsLi1BfKfQ4yeVy6yuaEHniM9NO43Zmo15tmWPaBxybqe/pjEP3l/YFAeBjUoXXmGs0\nOgsAUh5lofNrLh+TmuspryQ635QjEQHg5KprtWUNyJ6akvpTEdc3Xm+fdo1bPuLG/iccgYTF\nkizRuD/yLebunuA3y6Miv9qwt46WkYTJvjjDprr6THEhN1NF5sJfXmfePNQuxzQKPeboS5Fj\nq4rELMJ76D7c3d3Ly8sLCgo8PT3d3SX86/1Kukeg9+7d2/GAoKAgpG7yP4O+W39BdcbLEe0X\nhLSWVslqqBY+fXthUDAAmAUM8T2xBUuQGhjdde0YjUGvlmHqU4TGfNp7zniYq5Jhh2vHwknl\nGAJehqTIJFOMvJw9IlcQ1ZQB8ezPKtSyMtN3deCyOdlv4svfJskQ0SElJAUWb35aEpeQePiS\nY/gsALCa6J9x5UFVcjry1sDl0+kyjFMDne0NBhhVFjYpKH2wdW3jKqwJHV0edRsZYzd3Aq+x\ngHQs+5u8iIrnb8qTiHrmop55w82UbloxS+fyCmog42OCImXgsjBp5zx75StNIEAcfTvz2E4f\nRQXJaYIkDUWXQPv393jRG7wszmeyCwDkp5YKDhNxyZBVIExaN/LilnY7QDaLKXhTNrbRs3Hh\npcTpW2jpW4gmwncMCoUSVGcul7sz7PSbW59FhjGoTLwsjkFtXyX+ruYsPXwvKioqiYmJ3t7e\nly5d+revpZsEeu3atZLPjsWqqak5OTl1vGD6O6JpZ+W5Z9W7TYcZbRQ5LTWv/WuMvV0A4Nrw\nmfWZPPeGvPuvEyzOOa+WnCTAaKOU1VYAwC29piU5Qq781PrG68NnTXobJasq9bHdPNATWc1D\nsJ7o77lnleCAJ3M3Zt3k1R+b+Li2llfXpufOBVUyliPHEooeVCby6lOwBPy4R6cKHr9pLa/W\nHmCr5WAd9TKGxWxOsBqSYDUIGYNBcQP3hTdO9W/MLVazNlO36Txp13ea29c3WW9jkgBAQVlu\n+anpIrYVCISH9wU3k45GDVw6DaTkqzW3CDk1czjcllaGNIEGgJWnZ5gdNfj2Loekrhg0b6iR\ntS4AaBmqNQsEmrWMRANTE1aOsHI0/RKblfj8W15KiaA6+80cPHl9kEgV+I+Q/DJDXJ0BwNbN\nwmPsgMNLLiMaPXCY7bAprt31oT2Ic+fOnc4H/Sq658/r381E+bfoM220zaSR1LpGOU1VREdY\nNDp/+olQJmDAz4da3/R0/uaiFx8Iei2gDsVyzNt6zUHlSmiBOTG5pj7/UZzN5CBpn+4wf1JT\nYVlOzDMOi6PnbO+2WagDW8WnVL46A0DBs3f813IsNBcFKIHPktdpvz2gsRizgCH8TW1VDag8\nBOqu/GaM3tpkAgalZW+tZW8t7dpEwGDRqy/OmZpf01jTYmKrJy0JgVLbILjJaCWzaHRpBeU+\nHsbX77bX1ltbqunpdNR1BS+LG79ihNvo/mfX3doy8ZimgerkdSMnrx+5efwRJFUDR8BOXj9S\n/MA+bpZ93Cwbq5vzUtrn1ygUasqGIJEozQ9Smi2h7t/Rr9+o+V44AtbO0yonuUhNm9Qzff5/\nxS/K4vivgsZi5ATWA7EEPF5eTtA7UWIYOjZiT9GLDwAwrFKhWJZeKM94q95WKEefUqiizmj/\njdCbO3L/KYtPSbt0F3ld9Co++Xj0oBUz+O825pVIOQ4A2lu5tGLZSjLyDvMldHtBcLcd5KSv\nGJ+6BrR9ASenjaq4Hr6hozNLR8dUQ8dUrH2XALqO/So+pvI3Nfr26sDuY3pIn6zc+sOnk+gM\ntkNfrYtHOjevYFCZ64MO8rzoyhs3jj186O26Ix82xN9PARTKdaR9B5c3NMTp6YX2m5yjX9/u\nVWcA0LcQbTe+LvoPZ3+7d3eSbux/0lTb2sfNcvqWMRKP7eG/So9AdysoVL/Z4z7tPsPfwV/r\nE6Q4jldUKcNGLcxVr5RlMtFcXQoOyxV6nNcfPKCDj/ry1zXBzeQT0YOWT+cHBFQsjTs4louC\nLAVajF5zLYFFwOLqP9zabL5c4kgsBvti19Xj9y9+Lci01DedH7hWQeZnJXgNWj69Ni0XuXUp\nmxn6HF7fwWAUCnZvGvLn2sGtbQwV5S7lBeckFyHqDAAoADqF8fHhl7FLffWXS+1lzsfG2Xxr\nzOI7R1+0NLTZefQev3KE+JiEJ19TXmcqKMsNm+IqrcK7A+y9rJwD7D7c51WHeoc6O/vbfX2b\n/edknhPAyyvxFfk1e1+skn6OHv5r9Aj0d1BeV0XA4dWUOjIVcQqfRTLWL3j6Fi8nazM5SHuA\nrfgYgoI833cUBaBDFXXGwSvKDd6yRLyziSDUeqG+8YxWMovOwMrwgrDa/W1sJgelXeJF02TV\nVBjNrWwmb6GJC3DdoKkJxwYAOou55fJ+W+Newe6SJ6FEguzyYMlhdGBSoLUUMARQMvyept6S\nwcrKBF3d31pWxaTSSMb6aGzn9rs4HLqL6gwAHI6oYamIyWfHOHhZO3hJjepc2naX3xIl5siL\n/bGr9cwkNA/rABQKtTZqbsqrzNKcKhNbPcSR4+3tRMExmZ/ya0rqNaT7OvXwH6PHD7pLlNSU\nD1rorzexv3pwn4D109qo0v3UUaje44b7nfnT+9B6ieoMAH3CpNYm9Zs1bkr81T/yXlhPCuz4\nknSdhPwPtRxs+OrMYbGTjkXVpeeqWBgjPs7UugY2k6looGMdGqDn6sC00UXUmc/zZKmNyqTS\nmAuf90DaBUj9C1KOAatze+iuoKCnpWJu1BV1/l4sHIwEDY/wMjjHEX275cxMOuuGgB80uZky\n23791N4Rr6I/ftd5UCiU/VCrkX948v2SOGLtycVvMz2Ic/r0aRQKtWnTJvG3mpqaUCiUjY2N\n4M5Hjx4FBQVpaWnh8XgtLS0/P78bN25IPHNSUtKsWbN69epFJBKVlJTc3NzOnDnz834pPQLd\nJeYejEjI4hkoP/j4Yt25XT9yNof5oT6H1xsNdVIVDkSg0OiBy8JUzI0Fu5lIw/6PiQp6vDka\ngaTguWtFfWb+0+V/rp04afHYMbe376tKTm/IKRTsrtJSUtF35tjgO8dCrx8RORtJXgm+l5zb\n7aLcWg6l3VY9UZxZsXvmmZU+u06tudHS0G29RWSIhC03F9oN6S2nRDTta7Dm8lxDq+4xwWmq\naWExhbsNcKG2rGHP7LPZiaK1P9+FYKtZADCzM9SUXg7ewz9j1apVfn5+9+7dU1JSGjRokJKS\n0pMnT8aNGzdp0iRBh2QOh7N27doBAwYg6u/h4WFlZZWQkDBz5syRI0eyulLT+/30hDg6h8vl\nxqUKTYVep37o+uHNxeVl75IJSvJG3i68nGgUymqiv9VEf0YrOdo7rDGPV5/Wf9Fkonr7FI9F\nZ3w7H1P7LVvJSLffzHEEkgIANOQUFTx9i8Hj6zPyWsuqkZH0xtbEQ5e/PX2917CshsACAEwv\nGF+qPKBBNF5Mb2wBAH11nQBH7/sfeQURcjLEsGHjvuMnAgBMMtCFjEChrVzK0O+jtrRhhfcu\ncjMFANLj8zI+5O15sQrTNeulTjG00t1+r/vz8dX0lFW0lBqqmsXf+vz0m2V/CesBLCb7ZXR8\nUVqZjqnmsCmuIlXmfOyHWi09Me3G3ifNda193Cxn7xzXsU9eD99LcnLyrl27TE1N7969a23N\nC2FlZGSMGTMmKirK19eX3x9ry5Ytf/75p7W19blz5wYM4K0PlZaWjh8//sGDB0uWLDlyRHTe\n8+P0CHTnoFAoFUUSpbbdnV3QAa5jsm8/e7ZgK+IBTTLRH//4tGBeB15BLvT1xezbz8lVtTqO\n/QRtkrgczt3xS0r/ztLLvPYo5PWl0jefH81cizSHRaFR7SYbKCh89u6ZUh2izgDARsMt/WaH\nRlm0wMIjgaTALyq5uu7Yvpt/vf2WoKWivix4di99qeY+TDI14+rDtooaTXsrsxGDeeuQOCJg\nCMAWSEaW6erPpGPexiQh6oyQnVRY8LXU3F5qbllRenlJVoWhlW6nBdY/DxQKteLUjMipJ8Xn\n+3hZCWVKXA53Y/DhlFcZyOazS+/3vYyQllLtHersHercvRfcA58nT54AwKZNm/jqDABWVlZ/\n/fWXu7t7VFQUItCZmZnbt2/X0NB4/fq1unp7sai+vv6DBw9MTExOnTq1du1abW3RVJwfpEeg\nu8SioOnhp7bzNxePmtHBYD5cDudV+C5EnQGgqaA08dBFt82LBMdgZWWsQyXUKFclpZcK5FA3\nFZbl3nuVePACv3U3l8MVXJajcdlv1YXUgY7mNOLZqnQsGovhsNjyOho+h9YTlHjJwkSC7LrQ\nxZ1+BUYrOdprWmM+L2nPZvJIr/1rAAAABcY+kMcrLWmg0rc/jN2zOOjH53eUVqrIHnKL6B4+\nx1dE3z/Ja3A+aqH3rD/H/uCn/2P6efQ6l74jJ7n42NKo0hxeRbisHMFtlIQSrfSPeXx1BoD8\n1JL4BynuYzpK2vlvU91Yey32PoVOHT5wSF8Tq19/AeLmds7Ozjt37uQ7CF26dInFYi1btkxQ\nnRFUVFT27NnT2Nj4MzpG9Qh0l1gxdq6eunbMuyd4HC5s2Pihdl0q5aLUNNCbhBzRxN2IpCHu\nxNRWWdNcUiFt/EuVRgZa6O+DwEFrYOWtJgx33bSQ2UqW11aXVpXXARlXH/LVGQDSLt0dsGQq\nUoOezdYIO/d4mKlOC515+VtBDZk2xDHA3/FHW9PbD7W6EsnzGOMCKKnKWzgYSb62j3l3z7yp\nMzVgEXAqpZUxh58PHjNA2uCfCtKuW1Zepq+75Y6Hyy9vv5edWKhpoDoh3E/bWII1R12ZqBzU\nlDVUFtY+Pf+2rZnq4GXt5P/vdMD7V8gqzXNaFNjU1gIAq8/suBxxOHToqF/26QEBAevXr1+z\nZg2NRgsNDdXR4T2HYTCY8PBw/jBkou3nJznTSaQLbTfyWwp0XV1dr169IiIiJJo0/QxQKNTE\nIUETh7TX9TW2Ndc01ploG+KwUn+GyceiRPaomHe1DEyzX28sAc8SWOLTdeqnZmUm2JpWo29v\nJpnCYbEwTpaPM4V8AzAo9NHlO6f7jkfWGwkKHVVVVDbULDyy7lnSG5Kc4uLRM5YHz6mor55/\neO3TxNigcuWBwivJLSWViEB/K8yKL6uNL2t3kf2Sn/7jAm3laLbgQOj5TTFtTRQ9M83FR6YQ\nFSQn0iWnlr8NG0MhKQIAhsnqd+9VwbfSXyzQb28nnll/q7a0gUDEczkcLSP1qRuD+P1hpWFm\nJ+pHSlJXnO+4hUahA8CjM3ETV/lNXiehrPE/ybaog4g6I4Sf2tZdAn3+/HnxZk8iq3m2trYn\nTpxYuHBheHh4eHi4tbX14MGDvby8fHx8BJvJlpWVAYClZUeZrz+D30+gaTRacHBwfb1Uq89f\nwLITmw/FnGVz2DqqmhdXHZQ4oW4tq0o6dkVwj4yKYv/FU9u3udyk41fSLt5l0+kmvu4u6+bh\n5NobjyroanruWfU6Yg+TTEVjMQOXhek52w/ZufJuyDIkh1pBX5tNoyMLjKjy6v46xM8q7aHb\n1SELZoyYWP7xS01qtpKhjrGPSweZIZN2LHz15T0AtFLaVpzcqqmsfvbJ1ddfPgBANqZ5ILQH\nlzF4PN/n2lRH9GYjvuefMWLG4OHT3SktVDkxFzpB7qMUKSRewIeNw6b7uEicrv48CtPK9s45\nh/TQopHpAFCcWRE57dS+V6tNbDtqW6VnrjVz+9jzm24juR/BS4alf8hF1Bnh1sFnE1f5Y3Hd\nn2v4P0hBpVDVa0V9NYVOJRJEm/D+A4qLi4uLizsdNmvWLE9Pz1OnTt27dy89PT09Pf3YsWMK\nCgpr1qwJDw9Ho9EA0NzcjMfjcbhf3cz3NxPoysrKMWPGxMfHdz70p3H19d39t04hryvqqyds\nn1cSlSBLEJ3lNRWWieyxHO2DmMwhfD1/++0GXouZL39dZ7SSfY4IVVHrOPYbunc1ABgOGSSr\nSqr4lJp65qaGbS8FPU2zEYOrUjI+7eGVLHKZrHFlKskkChsNAKCmpDIvcFrsmn38akN9V4dR\nNw+XxH4qfZckq0qyDvHn2zA1k1tFklKux96LTeX9hFNIFGtlgn0jEQCwBLxH5Ar+gXZmNqFD\nR0W95PVgdbbuH+zm3+WfYiegUKiO1RkAqgkyAO0ebzQFOf2B39HF5sdJepku2OEQgUFjfHqc\n2rFAA8DoRd6Dxw4oza7SNdVQ11fZGHxY+CTM1gaysua/39/6F9DXxCo+o325xVLftFvUGQA2\nbtwongrd1NSkrCy6oG1qahoZGRkZGVlZWfn69etHjx7duHFj9erVVVVVBw4cAABVVdXKykoq\nlSor2z3X1kV+J4E+efJkREREc3Ozl5eXtFZjv4A33z4JbtY1N6QX5/S36CMyTMXCSGSPRh+h\nJlU5dwS+Agpy773yPrgO9XdD6IT95z9sP468tprgZzt55HW/9oataAya3iLk1IFlcxe5jfvU\nVGCqbbhyRFjj80TBWvDSd0kPJ++yvQAAIABJREFUZ6zOf8hLVU46EhX6+iLikYRBo1GA4kJ7\n/BqPw6NRaDaXDQBcFFwyakT72W/0n6Nha/G2JG3KH74FlcV2ZjYH5m2+tOrQeI/A5Nxv5rom\nY939O4j2/AwsVGXiittD/BpyOBUpyWrdBYvJLs+rllciIpXcBBmJRrIoTIdVNimvM0uzK/Ut\nte2G9FbV5qX09Bpo8vnpN/4YLSP1/yfqDACbpy6PTY3PKs0DAJK84onFkb/4AigUCpHImw1o\na2uHhISEhISsW7fO1dX1yJEjq1at0tbWNjExqayszMrKsrOzEz9DZWVlY2OjlVX3L2/+ToUq\nhw8fVldXf/78+fz58//Fy9AgiVYKqEsq/pbTVBNM2DD0dOw9TtjzQXjJV3AJuKmglK/OAJBx\n9WH8zlOCg9Ov3FcUdovG4PG7Vke+P3BntbHvG78lz+ZvFrmegsfttYLU+saUk1eR1/KycoHO\nPoIjp3gHj3ET8poYM2GSsZdzCb1x9OaZKXlpzeTW2NT4EWsmt1LbAhy9N05eFuIZ9IvVubWR\nvMZFW1OOp8h4DGqfTyeNpn6Q7MTCMJvVfwzcNNkyfJ7TFnIz1cm/n/g0n0DEOwdIXeLbNf30\n2sD9J1ZeXRu4f2fYKf4vfcwinwHDeHWnqjqklWe6lCb030CDpJb61/NnkVdiNp3Ov/jBo6/T\nL/toOp0uKyvr4uIi/lavXr3Gjx/PZrOzsrIAwNfXFwAePXok8Tz79++3trbevFn0n+7H+Z1m\n0Pv27RsyZAgOh/t3DVvDho07GHOav6wxxm2Eoabk51mH+aEmw1yrkjMU9DT1nOxEkijMRw5F\nGgAi2czmAUP402fB3tsIrZVC3Zg4LLb1BL/cuy+bi3iBFLdNC7AEPK2h+eXSPwWXFvlwOUI3\nBMGm4OdX7l+vrv3kcyxJXnFe4LRAJ58hfZ311XWeJsYqyiksCpoe4OgNAI8SXlHp7fXcFfXV\n8RnJw/oPlvaD+kl8fZN9YP7FqqJaOSXikbUjmz1t2hhsH1Ol3mo/99lzx5S/6it4/idFaWUL\n3bedTt6689HyK5EPSrMrGTQWi8XSNdUMXROgZy7BuZ9JZ2V8zI29kcDfE3fz8/Aw9z7ulgCA\nl8FtvrmwoqCmrZFiZK2Ll/nVsc5/FzwW5+3wL/QuIRAIpqamqampycnJ9vb2Iu+WlJQAgIaG\nBgCEhIRs3bp13759c+bMUVMTmqJVVFScP38eAH5Ge9nfSaB9fHw6HwRQWVkZENCeWUyhUDoY\n/A8w1NRLOvbkYMzpyvoaV5uBcwM6WrJXNjMU7yOF0Hf6GCaZ8u3vRULXDe2PBYpGojUXyiYG\njbntyx3q1ubK5oaT30bl3n9NrW/Sd3NAjPNrM/IkqrPRUKeqlAy+QxMACLo5K8kpHJq/9WNm\n8twDEWG7l0ac2j7LLzRiwvw9c4T85DBo0Sd39C+vaiM3U7ZPOoG0NCQ3U86GR+95Hm7l2FEL\n7a7Q0kAW7AooTn1lU02p0Lp0VUFNfmqpub3huit/dHzyhqrmA/MvJL/MQIs1tS3JrkQEGkHH\npCM71h5+BsuXL58+fXpAQMCRI0cCAgKwWCwA0Gi0vXv3Pnz40N7eHilgMTExWbJkya5du5Dq\nFX6gIy0tbcqUKbW1tVOnTrW1ley98yP8TgLdRRgMRlKSBJv8bsRE2+DgvC0/ehYUqv+iKf0X\nSWjVKKtCQuOwHCYvHwiNxRY8fct/V8PW0vfkFgDAysqIhE0UdEUd1CyCvGynjtJ3dSh8/v7J\n3I1I5NrQ07HfLKGajlZKW9DGGdWNtQBQ3VS3LergzqtHd8xcLehjF+Dove7cLjKNd8Mz0tR3\nsuqkUU5NUx0Gjel64WWn5CQXizScTXmV+SMC/f5e8vHl0Q1VzcqainN3T5RYVwIAiiryaAxK\n2LoI1VjbInGwCAcXXEx8lgYAHLboW/9i9WMPCGFhYampqQcPHhw9ejSJRDIxMeFwONnZ2VQq\nVVtbOzo6mj9y+/bt1dXVFy5csLe3t7GxMTAwKCsrS09PZ7PZ3t7ex44d+xmX9zvFoLuIoaEh\nV4DExMTOj+ky3wqzQv5c4Lpk1NLjm+qaG6QN43I4zcXlLSWVLBqdy+aQq+u4wn5XHCarMa9Y\nZKGPT87dF3x1BgCR7t3eh9eJr0AikIz1egX78jcVDbSH7o3Qd+sPKJSxj+v05Dujbx0Ojb08\n6vpBDF5ogSsx5yuiznyYbNaKk1tTC9oL3kx1DB//eWlwH0c9de0gF98nOy7Ly0qddeaUFjgv\nGqk5tp/aGFu/tVOaya3SRn4XREXRbBlpWdJdoaq4bvfMM4iHRmN1y945Z0Uae/PBEbAivkUE\nGZyFvVGnH8FisFJeZ0p8y3OiI9+1rod/kQMHDrx8+TIkJIREImVmZubm5pqZma1fvz4jI8PC\nov0XhMViz5079/jx45EjR1IolJcvXxYVFbm4uJw9e/bJkyf8Zcbu5X9uBv3gwYOIiAjBPcnJ\nyXi81L6rv5Li6jK3paMQrXmf/vlDRuL7A3ewGNGfIbmq7v6U8L97X6HQGDSHzSaqKXvujTDz\n8wCA4lcfny3YQq6pR2MxDvMnuayfJ3IGRmtHFm6133I66AQ47NhGIy+nysQ0RX1tm0mB/Npu\nACCQFAwGD5R4lHiaIEJ8RpJg6a2b7aDYvTc7uDYAaKW0jdwwXTB171HCq4jTfx5fvENkJJfL\n5XA54pGTDjDra2jhYJSTVIRsKijLuY3uqPl3x6S9yxVsxsqgMr++yZYWZ4g4P5vL/evDvWQO\nmyuvJLvk+DSSekdNthAwWAwWi2b9HXbiAuhZaI6a52VopWvt9KORmR6kMXPmTGnVfSQSSbwm\n29PT09PTs9PTolAoX19fZMHw1/A/J9BNTU3p6UJt/f53DHCvx90XnAkmZH35kp8hnmD3evUe\ngc6EXA6bDQCUusYnczdO+3QDryj/aPY6pAScw2J/PnhBq7+N6XD30reJSUejqHWNes720mQU\nQcmoI5NMFBrdK9hXcB7dFVQUJEchSmsrNl/aZ6pjNH5wYBfzNAI3TItNFfVBfpnyTnCTwWIu\nPb7p4vObLDZrlMvwY4v+JMl3KasMg0Vvub34+t5HOYlFmkZq45b5qukqk5spBFm8xEa0HSM+\nH5dTlLrSiEKh1lycQ2ml1Vc0ahurd/HjUGiUvLIcjcJTaBQAi8EeMeNXr6z28JvyPyfQkyZN\n4vv7/a/RKubT30KR8OReEf9F4uEsKq38U6qCjoaIQUfZ+ySimvKdsYvYLDYAVH/JrM/KH7Jr\n5Ydtx+ktbSRjPby8XM23bN5JbHTfUouD2bbiM/cfQV9dG41Cc7hC90KSnOKfV3gFFMfuXYjd\nexOP7SS7gM5kxH39JL5fJAy95dL+Y/cuIK+jX9/BoNGXIg518VIVVeRmbucF0CsLa5cPjcxM\nKMBg0cPD3OfunoDGfEfUzm5Iby0j9aoiXmxH00DVXnrPFASiggzR8vscy7DCl9TWfQ7XPfzn\n+Q/GoH8eIill6kqq4tNnACBqSO2JhcFhUWJVDLKqym82HULUGaHo1UczP4+5ec/n5j6f9vnW\nhOfnhv+1tdRR67xxQzg2YeKOBd6rJrLY3WkQLkuQmTRUKElIg6TaRG5fBIvPSLr19qH4gXQm\n49i9CwsOrzt85xyVTiutrZDo6bUwaLrg5oOPQnVGDz69+GdOYLtnnMlMKAAANovz4FTs3WMv\nu34sl8tNfJ4+wNvaxsXC2tFsxHT3XU9WdjCD/seYCvfh7mnL3UPX6RHo78DFesDxxTuU5ZUA\noJe+2e1NpxSJEqKQ9n+ESDwcryD3YFrEtWEzZEjtj/MyKkpWE/wac4pEBjMpNBQaLaOsCABo\nLKaxt9o+elIqiYrYO8emxt+Lf9493+pvsMIRDPHAUn6FqK0Bi83yCp8w//Dao/fOLzq63n3Z\naG0VTRkcQXCMprL6g20XQjyDBHcSZYR0UAZP+Ac+pZRWmki/kqSX6dIGi7N7xpkdU07ePxWb\n9j6H3EqdtWOcYEOsbmTG9mAtI55JiJqu8tzdE37Gp/Twn+R/LsTxP85c/8lz/Ca1UtskSjOC\n1UR/ooZqyonohuxCNB5HUFLAK8oxWsh8IzpqU4uapYmyhaGCrqbd7Any2uq8Tit/g8ZiSMKB\nZnFxzC0r6KbvxCOzJFdws65F1I6qn6k1mUZ5mhhHY9CH9HPWVtF4/eXDu7T2yovEnK/PkuJO\nLImctW8lk81Co0BXXefryRfi8eWp3mMF7Rem+XxnPxcAAMDL4LB4DJPe/iTRqX0HADTVtlYV\n1XLYXMGakaL08tibCcOmSDC9KsmqvL7vcV1Zo4WD0bjlw+VJXVqsrytvTHjyFQAGDe+rZah2\n4vOmjI/5XA6nt6OpDJHQ6eE99IDwWwp0UFDQz/DG7iIoFKoDdUYwGupkNFSoYvXy4ND2MwC0\nlFZOfneFX1toOXpYkoA3qVmAp0jZoaW+qA3Q48TXqyZ0Z8l7bwNzQdE00NCdNSJk/fndyOZU\nn7G2xr16T/cora0AAHlZuTubz5TVVYqcpKy2cmFQ2DBjDfmK1/IoBldWDcWsAeAJdGNbc2lN\nhYm2wWy/UDQaff7ZdSaLGezmt3QM32aECxwWoLtUR4fFYXwmuzw83d4LcXhYJ9VoVyIfRO98\nwGZxsHjRQFN1sQR/xJqS+uVDI5GOAV/fZqfH5+1+urLTMHfmp/y1gQcQd7oza29uv7+01wCT\nfh69uvKleuhBkN9SoH9HBMMaAEAgKQhKsNOaOYw2ctatp8Dlmo/0GhIp6nONETMLffs1oZnc\nqiTXeaZXF9kwacmTz68r6qsBQAZPODR/y0jnYeM9AlPzM8z1jPuaWE3dtQRRZwBoo5IXHll/\nY/1JkZMM6mUH1Dqt6leIzxyKWgcZUTBgGeAVtkUd3HJ5P5PFUiDKH124fdaIkFkjhGNBJa+g\n9C2wGaBoAJZjQLbz7qhzdk3QMdH4/OybnCLRb5ZHxyKY+Sn/8vZ7yGsWQ7RoxEJSV624W58F\n+7lkfsovTCsz7duJ6cfZ9bf43qFUMv3chts7H3+HcTmdwrh7/GVGfJ6qjnLQAi99CwmF4z38\nP6FHoH8RfWeMLXufzN/sN7O9kK8hu/D99uMN2YV6Lg5OEbM1+kgwBddXFy0543A5OWUFAyz7\ndtcVGmrqZZ2Nuxv/jEyl+PR3N9YyAABzXWNzXV7P0/SiHMHx2aX55nrGu2atXXtuJ5PFwmKw\n60IXDezVDyo+AofZ3o6LTYfmwrdVVP5kvJXSNnt/uEdfJ6EvVfMFiv5eOWwppiZduvfRMje5\nWNNIbfQCb8Q9ThwsDjNqofeohd5d+YJZCaJBIQwWg6zN+kx2GTRCwk+S0kIT2dNB/y0+5XnV\ngptluVXSRorD5XJ3TDmZ8LezXdzNhCMf1vND2D38f6NHoH8R5oGeQVf3Z1x9yGGyTP08eo/l\n5SnTGltujV5Arq4DgMb8kqqktMnvogV7eyOoKakMthrwPv0z62/hw2KwZrpG33UNbA77wccX\nRdVlumpapTUVADDK1ddIU58/QIEoL5LLIYilvklS7lf+prG2Ph6LWznuD39H7y956S42/Q00\ndAEAMGJVRWjc+/S3gjtoDHpC1hchgW5oV38OB1bMzy0s4hXgxd1IOBq/QUntR58VVLRFVT78\nzAwCEa9lpG7Qqz1zrqmmpbKwVttEg6SuYOfZ+9qedgMzLB6rayZaTC+OSPtXQ6uO8tZFqC6u\nSxDwHaW00l5ExU9aG9j1M/QAAJGRkatXr3Zycnr37h1a+OmTxWLhcDgHBwekxjgiImLnzp2X\nLl0Sye4tLi52c3MrLS0NDw/fuXPnL716AXoE+tdh5OWs6Wa/+8bxHR9OKn6JWhg0fcRAz7J3\nSYg6I1Drm4pexltNEGp9xmglP1+8bdTDqkCO7lcS9Zp+Ew3D2RYWjuSTSIRKpz1LiqPSaR59\nnbVU1AGAyWINDR//VtjMeu25nU92RLnbDurK9W+asvxZ0hukwJ2Aw+//YxObw569f9W5p9e4\nXK6pjmH0mmMDLPuCiiXg5IH5dxW7jDJHyUhTWTReIbiHy+XmNzSz6pvNVRQxKNTTZ7TCoval\nv4aq5re3E/1nD+nKRXaA44i+Br20S7J4cXMbZ3OXkfYiAeXr+55c3naXxWRj8dipG4LGLPax\ndDDOTuLlirAYrOidDxccCBU9tQDFmRW1wi0H+3eWWy1Ia4Oot5d4p/Aeukh8fPyxY8cWLFjw\nvQdWVFQMHTq0tLR0+fLl/6I6Q49A/2LmHFh16cUt5PWTz7HPIq8YsETTmTlM0SYdbzYcyr33\nCgDQAP0aZe1s7dx2rrA3l2qdVVZb6bZ0dFF1KQAoEOVjNp0eauca/fqOiDoDAJVOW31mx/sD\nPPtWNod97un1uNR4dZLq/MBppjqGwGFC+XtoLgGCormea/a5NzHvHtOYdN/+Q0x1DI/cPXf2\nCc9XOr+iePy2P/Ivvkfh5KDvTCh+BZTaxAbWvKtPktcf0VHT1CCp1jTxFuLcbAfxjZYaWpuC\nNs5Ars1GnXRn/JC3b0VT/Oormzr92XYKgYjf92r1w9OxZTnVpn31fae5iahz3peS8xtvI69Z\nDNaZdTcdvKzrKoTUNvlFJ5l8ZTmiAY3m+u9QWEMrHZKGYlNNewa6rZtFaXalPEnu/4+Ffzey\nZs2aoKAgPb1OGtwIUltb6+XllZ+fv2TJkj179vy8a+sKPQL90+GyOYjRM5VOi359V/Ctc0+v\nn5q5maCkQG/m1Rbi5GQNPBxFzlD8WqhyWr6gqQN1BoANF/Yg6gwArZS2+YfXZp2Nyy7Nlzg4\nr7yI/3r2/lV8wT39ODr5+GOzhjfQwCtihNqvKvYLZwyfiGzVNNUdijkjeKrCqpK0wuz9t0/d\n/fBUBk+Y6jPuwrPryKojElGZ4TuRxqT1M7WeFziVb8Gx5mwk/86RVts09+kXZwVPAKH8EHM7\now6+b9chKsiMXSq1CD4nSbTnetbnAqKirODtgajUSSWLvlidYVG6aPOzDsDL4NZcmrNn1tma\nknosHjtk/MDTa27UljYAgOdEx6XHpmGwPbULXcXOzi4lJWXevHn37t3r4iFNTU0+Pj6ZmZkL\nFizYv3//T728rtDzy/6JZN18cqbfyEPaLtFe06pTMmhMOlvYcbKNSpbTUA2M2qPRxxKDx6tb\nmwdc3KWoL7pqj5cndrApTlpRluBmTlkBjUG3NpLckLivKc8Lqb6lka/OANBKabv19HK7OgMA\ni0Yufvc86c3XgkwGizksIjRXQNwBAIVCbYk6cO7ptYbWpor66h3RhxF15qOrpnU54vCKsXMF\nm869T/ssOOZ9SeWgYCHbGpoiNZsgtD75kxAPUqtqk4aHuYFA95sR0zvJ5FPTFXU1obaJrjR2\njI2z+bm0Py9kRt4oO5Aal42oMwC8iv744FTsd53qd6GppuXu8VfX9z0p+PYdN7NOWbp0qa2t\n7f37969fv96V8W1tbb6+vl++fJk3b97hw4c7P+Dn0yPQP4vqlIwncze2llVxOZzqL5n3Jq2U\nR+EdewtZVo4Y5AkAuo79Ql5dXFjxNjTuskSbJJtJI4U2JweJjxHEQs9EcNNAQ1cGTxg32N/L\nzk1kpIoCad/cjQBAplG2XBadL1DJon6qFx9d9IkI6TvH2yt8wpd80Yd9NAr98GNHvSIleuZp\nqQi5x2mS1IeHuY9Z7IM83TXKNyaYJEzfs/z2u8cdnLlb6O9lbWTdvqBn2d/YztNq5Lyhy0+G\n9fey7u9jE35mZqc+R0QFGUVVecE92sbfbcOPQqHU9VSaa1trSoSys9Pe/4ob1S+mNKdqlv2G\nk+FXz2+8vcB5y+trErxc/hk4HO706dNoNHrRokWNjY0dD6ZSqf7+/p8+fZozZ86RI0e66xp+\nkB6B/lkUPhdqlU2urqtKyYhafXhIP2c0Ci0nQ4yYMH+OnwRbKC6Xey323sx9K8NPbc+rKAIA\nuznjvQ+uMxg80GDwQO+D6+xmd1J3t2HSUr45ERaDGeM2gkqnYTHYrWErRUZO8Q62MbKkMejB\nW2Yfijkr8q6hqQPghByfnxWUIy/Ew9kAwOaw2cIV4nIy7ZN9eVm5YHc/sYNgxdi5gpurJsxD\noVDj1w5/1v/Z84HPPtrEk2XIAHBVODrU7TBozG2hJ4rSywFAVp4wZvGwnY9WYHEYFAo1NMRp\na8ziLbcWeYzryGWQz/StY/ivUSjQMf2HSXKKavIiUfKuGJz+dlzd9ZDc3L40enb9rW48+cCB\nAxcuXFhdXb1iRUep6AwGY9SoUXFxcQDg5eX1D4wHfhI9MeifBVZWtKIXS8Draxm82n2dxqDj\ncTg0SvLdMeLMjl3XeN0Zjt27kHDkgZWhhXVogHVogMTx4ljomWSfe7Pyr20XX9xksdn7bv51\n78Oz+EP3xLvZt1EpdnOHic+FAWDG8IlTfUOguQiybwC9mcXiRsZ/u5NVwh9AwOHpTNH2WsZa\n+tll7cHujVOWZZfmf8pMNtLSXxe62EzHSPyD7M1t9s/d9D79s7KC0hg3P8SRisPlcFEcNrpd\n7pHoUCulraK+2ljboFNfvS5SX9GU9iFXnkTM+JiHFGcDALWNnvjs24xtYzo+VhoDffvIEPFU\nCgMFwOXChc137D2tzSUVwnSMDJHgN3Pw/ZOvkU0CER8wp3PP4t+OqkKhThH1lU10CoNA7DYL\n+G3btsXExJw9e3bSpElDhkjOBVqzZk11dbWvr+/Tp0/nzp3r7Oyso/M/0eymR6B/FuYBQz7t\nOcMk8+oa1KxMNfry6txk8FLdGOhMxv5bf/E3aVTK4TvnxK3uO4Ukr3jr7SM2mxfyzqso2nnt\nWOTM1f0t+iTm8GSISJC98+FxXbOER79BvexnjwhFo9BAMoFB4bnxqUvGHXxkK2SjOtFzZFzq\nx8KqUsGd84OmltVWRb28DVzUaDfflcKzY3Huf3weumNhK6UNANxtB/ET/hSJCt4Obk8T28u4\ng939tkUd3Hr5AIPFVFVUPr1sd5DLj/qmf7ifsmvGacSzX0ZeKPxSnFnR2khWUO6oUaE0sj4X\n0CgMwTlYSmzmPxBoAJi7a4KZnWFqbJaCMtFvlofEdrS/O8a2+pkCNUR65lrdqM4AIC8vf/z4\ncT8/v9mzZ3/79g0ryda8urp62rRpZ8+eXbJkyaFDh8LCwp48efK/MI/uCXH8LJSM9MbEHDX2\ncVXtbWo9KTDo2kEMvvNJX31LI5PFQnHBv0IpMlV7Z6qu2sXP5Kq6Tg8UobK+RsSrOrMkF4PG\nPNh2YY7/pD4mvf0GDd01a51EdQaAT1nJgxb6/x2VRilo63LJOKNKI/4AFRlS5Mw1lvqiPUEw\nKExpTUV5XVV5feXhO+dC/uwoBZXNYYftXoaoMwC8+fZp762T0a/vbLq478abB+fD94cOHaWq\nqGymY3Ro/lZNZfX153czWEwAqG9pnLxzcW2zBPeMrsPlcg8tvMTvqEITXsojEPH/2HpUXsyz\n6R+fCoVGeYc6rzg1fc6uCf9JdQaASWsD+eXsckrEBQc7SjP/Z4wYMWLixIl5eXmbN2+WOGDc\nuHFnzpxBoVA7duwwNzd/9uzZoUNdNSj/qfTMoH8iWvbWI6/s7fr43PLCD+mJmiR1y1zK0Gre\nQpNqcevT+ZtH3zoMAA3Zha0VNeo25uKlhiLoqGkqySkI9n+xMrQAAE1l9ROLI5E9/Km0NDZf\n3P9HwBR1JVUtI/XBwQPgJqi2qDYoNCrLKN26deJB/Isnn1+LHJJXURT9+g5/M/r1ndl+oR59\nnUASxdXl9S1Cd4jDt8/W/C27foOG3t96nj+L2XhB6CfZRiUnZn8dPvCfV680VDW31Av1hERj\n0Bw2L6gyZpFPB6ZI5GYKGouRlZP8JGTZ39jEVo+fkEBSV3AJtPvH1/mfh6SucDR+w7d3OTQK\nw8bF/J89tXTKgQMHnj59umfPnuDgYPF3AwICkIJDIpF47tw5d3f3iIgIb29vKysr8cG/kh6B\n7jZK3yVVfPwip6nWK3gYVva7O5meeHBp8dENyAxxTKvQslLpu0RGG/nlssjs288AACtD8Nwd\nbjHOl0KnSvPVQ6PQhxdsm7l3BXJCc13j8HF/iIzpa2JlZ2aTkpeGbGKxWC2SuqBBHYfLyS0r\nVFdSBYAVp2bYeVplfsxX01X2mzmYpKEYd020rxUahVIkyovszCzJlSbQOqqaeCwOuUKEGoFJ\n8cNPL2NT44f0c0Y21Umi9yR1kqrE03YRZQ1FWXkZwRy4wcEDFFXkKK30/j42rkH2Eo9qqmnZ\nNeP0l9gsFArlMtJ+2clp4vahOAJ2+72l1/c+zk0p1jXVHLvcl6TRU2PSEVg81s7z50qhhobG\n3r17w8LCZs2a1fFIFxeXJUuW7Nu3LzQ09NOnT/9uQ9Qege4e4tbuSzl5DXn9ef/5kNhLBEV5\nAKA3tdZl5slrqysZdVTL1EYlLzm2kS9VNBBKl0ZjsHkPYhF1BgAWjf5s6Xa3c0sauLT+Fn0u\nhB9AZsciTPYa49jb/vWXDyoKJH9HL/HANw6Lvbfx7JL1Cz8VpqEpDCaGW8aqFBnQy4AXxMBg\n0T6TXXwmu/DfFddHDpdLFyuD5OdfN5Nbr8fdb2pr9rJ3szOzAQAZPGHjuGlrr5xCBijgca0M\nocPzK4v5Aj3eI/DPK4crG3hdtz36Otmb24h/666DxqBnbA8+svgysqmqTZq+ZYw0VyY+R5de\n+RKbBQBcLvfdnSQ1XeXZkRKSapTUFGbt+Ccm1z38PKZNmxYVFfXiRUeZoAjbtm17+PDhly9f\n1q1bt2vXrl9wbdLoEehuoLWyhq/OANBcUpFyPNpx1aycOy9eLNnOaKMAQO9xw32ObECJ+Law\nWd8Ks7AYLJPNFMyISFCl2ja3Ry17jfOtTRNOgGVxVFq5DfKQmPM1eMucjDOioQYEQS86iaRt\nOukaU+YKJABgobgHLWrTv09MAAAgAElEQVTLiO0SuXv2ehUFqYI1a0TI0bsX6Ey64E5VOeJk\nrzH8cvbJXmOQdb+K+uoB80fw61aOL94x138yAKyx03LGDntRUKEqS7BQU/KPFupZ1c+03cVC\nXUn189FH+2+dKqwqGWDZb2FQmLQ0mK4zYrq7pYNRyutMBWU511EOXYkUf4nNFNxMeZXxg9fQ\nw6/kxIkTtra2VGonloSysrLnz593cXHZu3fviBEjPDw8fsnVSaBHoLuB/Pui+lj2IYXRSn6+\naBuTwvtTyLz+2MBjUO9xw9uPqij2Xzc1qzQPAPqaWmHRWBaH58uRpkRlzBhsmkNmtJJNhrk5\nLJz09dxtkY9oxPFm2ZkluZMiF22cvLRjLRaH0UrOuvUUAMhYzivNtgoZhgwbDQC6aloRE+Zb\n6pl62rmIHMLhcoqqyhSIcupKqr30zR79ecFnVSiSAOduoPmXn6OlWhUYasxy/PNbM7eXvum7\n9M8O84bL4AlyBFnBqsKVf22bOXwiFoMFepOHoaaHIc8ibqGjzeGPvJDLynF/iLR81FXT2jNn\n/Xd9x04x7WvQqb+zIHIkoqDjaBcbrPTwP4KpqemmTZtWrVrV6UhHR8fly5fv3r176tSpqamp\nJFInj1Y/iZ4sjm4ALy+6rCGrolSfVcBXZ4SqxDTBzfmH1yDqDACp+Rm2Ju1m81aGFnM3rh8T\nc3Tii/Mms4OmHVgR8Hh7s2x7xfFHVXI9od1lKerl7YEL/Iqrv69Mlt7SBlwuCwXHTOteabRm\nKdLzFOgAIIMjLDq6wScipPd0j+TcduvLzJLcPrO9TKc4awT3Hbt1Do1B9+znenzxDiJBVlkG\nHzPOw1JNCQCASXZDZc0bMvRu/LONF/Ym5377kJ74PLndblRZBt9HTa6mphAAQF7IinNv8Lip\nPuMUiPIKRLmG1iZ+gkfXqWyoufP+SdzXj/wO5Z+yUgLXh9nNHfbHwdXVjbUdH94pfjOFKgn9\nZnn84Al7+BlERERwudwJEyS0fwwPD+dyuYjXKABERkZyuVwRr1GEXbt2cbnc4uLif0udoWcG\n3S3oDx6AxuEEXegGLJ4qqy7qySCvI1Ty+zEzWXCzvq4m8fDDN+kJ2ioao1yHE3C8pYlpu5Y+\nSngFAJHmLYPqif6WTtdLExLlm0VO3tTWcvH5zfWTlnT9shV0NVXMjRIqsyuIopFf5EVueeHY\nrXPyL/JKIqfuWsL37L/55qG1oeWmKctmjQgJdveryn+v0vxO8CTchuxLzyWUhM2wMz80bAAR\nh4W8C0k5+qnNWFMqZbA2EQBAhrQ9qeLCM55twpnH0SiAU8t2d/0b3XzzcOquJRQ6FQAce9u/\n2HW1rLZy6MrxZBoFAL7kp3/OTv14+B4W88//7IOXDFPWUHp3JwmHxw4NdXKUZPPfQw/dRY9A\ndwMKupojTm19uWwHtaEZLyc7ePsyjX69AMA6NCA96j4yRl5b3WaykKWGrpq2YBoctrw5f8XR\nRbePCqZLI01akdc0DCdOo60Ql1Eips4IdS2i1hkIH9ITzz69RmPQgpx9g9392Bx2ZkkeDoO1\n0DMZcebP5PnzAKTmWRdUlkzZueRC+H4KnSqSlnfqUZSnnYu77SBleSVlYxv4IizQGLxgegYA\nEAmyqgT00eGDCBg0AKx8/nlP/HnkrVED3W6u2IJWMr5zZoTgITHvn3RdoFls1qz9KxF1BoCP\nmcn7b50CAESdEZJyv34rzEKWKP8ZKBTKK9TJK1RyXkrHNNW23jv+srKw1rSvQcDsId1bjtHD\nf5Iege4ezPyHmI4YTKlpIKqroP7On/Xav8bAY1DFp1QFHQ2bSSNlVIT89ddMXDgpciF/07tK\noSInNSfmee/xI2gNzbVpOUR1FaKJrkg5E4MlWl3NZ6idaFPq+x+frz69I72YN+2NehkTMX7+\n/U/PkYmwk5XDvS3nwm9ePD3VlUyXumxy6cXNACevMW4j5GXlBGMOFfXVg5eNiV5zdMKQkaCg\nC/La0PZ3EghWFq3eZ8RAzxtvHvDHrw1ZNMJMi0BLAYD0muY98e315TEJb+9l5Ae5mONxQrU8\nOElFX9Iori5vamsR3JOSl9ZLrJSGIv2bdoXyvOrPT7/hZXDOgfbf5YxBbqYs9fizuqQeAOJu\nfk54/DXy0fJO+8/28P+cnr+PbgOFRstpqaEE/uVQaLTlKO8hkSv6L5oios4AEDp01PWQze61\nch418suz1Hu1EACgIbco7/7rs/ZBt0YvuOQW8mLWhpHOPoJHDe4jee6mJK8Y6CQ08n3658D1\nYXx1Rth/+y9+mCI+I2nV6T91VDWj1hzRIKkBgJwMcdX4+Xic6MzuQ3oiGoVeODJM/HN3IrYh\nKAzYhIGOEygagEZf6DcbCErHF+8Y7xEogycoySksD54TPv6Pfr15F59RL2rAn1aUDfB/7d15\nPFTdGwDwZ8aYse/7GhGiEmVLhfYkLQqlUinti/Zdb2lT2ndpX7VHC2mPFJFQyJKsRXbDmOX3\nx/Ub150JFRl1vn+8n7lnztw5450e17nnPA9McBiNb/QY8BPZMDQUVWmNR95ZrROWLxDf53cu\nn1+Fxs+x2nhs5ZUDi87P6LmOW5ylJV7celuIS02XGJmWEkNMP40gBChAt62IuBfdZw6kDNE2\n9nLAZ5bADHEYNjpHxjlXWoNeH1lk9bXD5v+HrcwDgPS7Tyd8kvKlWQ/haJp1Ng708T+1bPdw\nCz4Zcyqrq5ishtuGHA5n07k9vN0I65RfJr0BgJHWg537DCaRSFU11ftvBg3tZUd4lbqCyofs\ntIHmfbFbgvinGtZmUCVAzwlMZ4GhK4gpA4C8lOylNYcq76SW3vywyXPZ2pM7DBa4R+aVAYCB\nLHHjBnapu3D09N2zfXvqmZh0MvCd7OM3rfm77Vw0YermqcvxY/YZO7OPce8TS3aqySuTSeTe\nBj1ubQzizRjVcoFrrtbV1v+Qq8qqz27+iQR7Zd8qCC0lX8v59kQQLjTF0YZyiwpG+3ph0wLJ\nn1PHbpyRGBiBL9Iqpa1muWx6tH99XZJOA20UjDpzozMm++5zaYChAIb61kOHuQNAqN+ZtNzM\nZUc33YoK43br0bkr/t7X7mvHeX8fAIAYTRT/N76qnBIAnA4PPh56AWuprqXfjgpTkJYv+v+m\nPg1F1bCYZ8uObQYAKTFJsy7dXrx/zT2DrUnvpn8IWOWUxUd8j4acAwD7U5+nmerNHzjU227A\n0Sf1q54HmfcbbTsUAEgk0qIxXovGeBFOwmQxz4RffZuWqKOqOWP4hB/tn1w6bpZN114RcS8U\nZeTd7UdJi0sCwLShbtOGujGYdb+ZAI/NYhd+bjRZn5f+teUvN7bRxx9SRYUNev3cskjkH4QC\ndBt68i4KP2lbVVMd8fYFt2QUxnzORGkt9epv35XNuqr1NqmrqgESCTgcnpPBx+B7lkunyXbW\nAgB9dZ2ji7d/ys/C5ivwGTYAoK6KvvMMn3oQpp2N3e1HrQj047asdJsHAC8a1zQBgKKy4iUu\n3hX0Spow9erT0PC3z7D28uqKd5+SuRvEe+qZ7J3zX7M/ByzDNfaYwWIfiU1NYsg+C7jm6hgZ\nn56kp97J0XJAE7tOOBzOGN8Zd16FY4cHbp16f+yhhCj/jA02xr1sjHvxtv9+elKyEFnLUC0z\nsWEto47JT1S6M7bW8/QdfW7LHSaDKS4tNm/PRHmeAi4IQoACdBui8Uzm0hrvt84Me3F/jm9t\naQUAiCnI0kvKqOJiKmbGBbGJwE9FTgEWoAFAWVYx7nBY1IfYWkatlZGZ5P+TYLDrmNfGzC2p\nKwOhhheKi4iF+p3p182SRCL1Muge/DREmEIZYm539uHVefvXEJZbYIy09KYPczf1Hpxf0ug6\nsYJeeWzxdnERMQ6HY6il15LtfBzgEBL51zHrXia9Kasqd7UbqSav3PTL49OTuNEZALIKvljN\nd7q39Zym4p/O2Dt7l/vG8Qex7PJKWvJT1jdT2oZg/JJhjjPsinJLVDspUkVbJ5818ndDAboN\nDTCzVVdQyS2qL/OsLKuIn95lMRjc6AwA1UUlAFBbXlkQm2g6czxZSIheVPohuKHOE4VGVTRp\n9GeyMIXCTaDMlfsqviA2SU+XlijdMJUxdYhr/+71tWgdTPs4mPapYzJ7zR2WkPH/jcskXN09\nAACwMOxZXF7yLoO4lZlEImkra2AZlACAyWLuvnb86vNQYSHhKYPHeQ1z582iSyaRR9kM4e7/\nBoBvZcW2i0YDgChN5Phi/4kDRgNAZkF2ZsEXIy191cZFsPD5mzBJn1Md10yOPXT/p5Z5/D4T\nG/3A+E0Jz1KoosI97br+QpAVlxL95dSjyD8IBeg2JCsh/XDHpXWn/JOyUo209P6bskxBuiEl\nW0laNjc6E1QVFDkGbQUOhywslHQhBAAooiIOO5aJyhM3v/DCAr3LF+lqIXaGRC0A9FUx8pu2\nnNAt6XNKQ3QGAA5oKKrmFhVyOGxhCmWz5/JuOoa1dQxCtjkAmOfsyY3OALDh9K4tF+unU14m\nvWGymLOdJvOOav+8zVRh6o0X90SoNGNtA+6cCb22xnvPirF9h68I9MNqblEpwv4z1422HSol\nJolNInfXMeI94fvMj+8zPzRd3bwV1VTX0kSoJDJJWkGy7xg+UyhNy0zMOehz4XNyroK67Nw9\nE02s9Zt/DYKgAN3WDDX1gtcd5fuUhOoPS9UJi4kCAJBIg/at673IsyK3UKFr55ZEZwBQNTOm\n0KjStYz5aQoVFDYZYPr2Pbx31eqYTEKLx4Ax85ynfsrL6qKhi13D0oSpM4ZPPHj7FNZBiEze\nPHXFCtc5+FedCmtUL/l0WDAhQJdVVaTnZemoagX6+Af6+APA5O0L8R2qaqpPhV3hVkRkMOsW\nHd6w8NB6EonkOXj8scXbtZU1RKkidAaxNnYdi/gR2kJWUu7uOafS3n4WFaeNWzLMbdnw5l/T\nWEVJ1bIhO6rLawCgqoy+YuiuQ6/WaxupVZVVH1txJSo0nioiPGSKrcfqkSRy+5fwQAQKWmbX\nbkTkpLtP5b/Ot6v7CO5jGV1Nzb69WhidAUBKW83ef4WwuCgAyJBFhq5dqGJmzNutu66Rrmqj\nJEHONkPUFVT6d7fCzzDsmeN7YP7mEZYDJziMerHn5kq3uYQZjBpGo2x2hG0gh++cUXXtaT5n\nmOr4nv5XDmONuqqNij8JkYW4s0AYDoeD/ffkg8v7b54EAGVZ4i+zzmra+Fx3bYTD5myecDjt\n7WcAoFfVnvnv5vMbsT97krjHyVh0/v852Vhd1IOLL4Sfj6wsrf5eUHZxe+iNA82nwUT+NegK\nuj057FimYdMzNyqeJi1ZV1Wd9zpBRE6650xXjT6NssVX5Bam3YpgM5m6Q/vJdenU7GmNJ4zo\n4jygLCtXUlMFS0vNiyZMvbPp1PwD6yKTY7SU1DdOXmJlxCdFfUll2f03T+6+fiQkRKYIUXro\ndhWlNapFMMJq4Jnwq9xDJ6tB3McpX9Ln7FuNPa6tYyw/7ufQs4+5fvd5zp6nwq5wUzutnbiQ\n8KsC71H8y8VjZ9j1sD4V1lD8UE5S5s6mU7z3YFtdXsbXvIxG90hjwhL7jjb/qZOUFRFTPpUU\nlLFZ7Feh7/CNL2+/HbNgECAIDgrQ7YpE6jJ6UJfRTf2z/PruY7DTLCwxXtS2Y45BW3WH9m32\nxMLiogrGxF3OBF21u0T4X266z9x9a0JePQQANpN9Jvzqp7ys57uvc1duZBV+GWk1uKyq/EHM\nU4oQZfIgl/WTFnNfG/0xjnC2l4kx5vrdFaTl3h97eP7RjYLv3+x6WNv1sKbX1uwMPvI+8yPv\nALA02dtnrE7I/ICl1uuioXtn06kuGrrN/Ahag6gEsTKOmOQPC/7+SJ+RZoeXXsTfg+1qrUci\nk4Qojf5+pQgLEV+J/PNQgBZ0UduOcdOWshh1L/47oDu0b1VNdcirh5X0qgFmtvidL1zvMpLv\nvX4sRhN1tXNSllXM+ZYfEv0QAEZaD252WRseYbdLZFJMwNVjS8fNAoB1p/w3n98LAMIUykrX\nuRunLCXMfkQmxRDOpiJXP1MhKSaBJezHiNJEovbdtpo/MjGLGKPLKssBQElG4c3B0ISMD0wW\nq4du1z+2eENORdpiSLfXD+pzrlJFhAdMsPmFk7gvd7y04y42daOsJT9p7UgSidTfpffdoGfc\nbvauxAU5CELi8NsT8TeJjY3t1avX3LlzDxw40N5j+RVnbFy/p2ZxD5kkeDhdLzErJbe4AABE\nqLQLqw+O7jMU/5LzETe4aZhkJKQOLvCbGbACS+omISr+cMclS8OeAMBkMZtNvKnh3oswQWzd\n1Txy7603Ke8s5jni22MP3cOvqXj2Prq/T6MZdiMtvdhD9wkzJFxfS4uUx5nytnfV7pIU+Kjp\nQbYpemXNlV33E56nyCpJjVkwqKtVM3+X/Ehe+tf3L1Ol5CR6DzahUCkAwKDXXdh2J/JOPE2M\nOmRynxEzf70ALvK3QlfQgk7RpAs+QOeKMR7ENlzV1jBq5+1fQwjQy49v5j4urSxfdHADN+Vm\nJb1qZeCWVe7zFh7c8PHLJ311nT1zNvJN7oHxGua+8exufAu2dTs2jVgR/Ez4VRGqCIPJkJeS\n1VRUexT3ktBh89QVWHRO/px6OypciEwe399JW7l+Mx4+KSheH37bAv8kUQmRKRua2pDy/HrM\nk+DXHA70G9urv0tv3mXgGLXOSmqdG63vpooKe24c47lxTGsOF/m7oAAt6Pqsm5sfm1j+OQ8A\nKimsaxrEPHB5xYWlleUyEvXph+i1NdzKqhhCEs7kz6ljN86spFcBlpL/P+/EwAgdFf636dZ5\nLHoUH/n8fTS3BdtUoqWkTui598aJvTdOcPv06kLMZK+hoFpaWR5478LqoO11zDoA2HBm15Od\nVy0MTQGgk7KmkZb+h+w0/Eusu5o7Ww8Oi31qaWiGrYkWNPdOPtu/4BwHgATwKjS+sqQKXQgj\nrQgtsxN0UpoqkyMvJ4/WC+xc7Ne18IsYcVu2qpwSNzoDgChNxECjM76DkqwC/lBZVgmLzpjq\nWnoEz9UulxBZ6MHW8yvd5nbR0DXtbLxv7iZvRw8AGGzery/PJkau8xE3amprsRSmGBvjXrGp\n79TczJYd21z3/50v9NqaDWd2Yo9JJNK1Dcesu5qTSCQpMcn5o6ZF7r1VVVM9Yp3nkJUT9afY\nRiX/9Pq2PyA08CkAcK+ZQ44/ab+xIH8hdAXdAVBo1JHTpx5f1zCzwU1KJ0wSWmPpBhwO4P6y\nPrxw62jf6diFs6Gm3sEFfuM3zSouLwEAMon8KS+LcH5RKv954fpnaSJbp6/aOn1VoyEJUR7u\nuHTu4bWbkQ/uRIXzvioh88Or/bf9rxzJKvzSq0uPsbaOlvMd8ZXLMel5n7mPjbT0I/feotfW\niFBpJBJpzr7V3L2O38qKPf0Xp5x8BgKmsrS6iUME+U3oClpQpD+OPDZv2aXl/31LTOV9doTV\nwCvrjvTtZtlDt+sK1zlv1pz3zFMaly2zIlGxbsu1yK2NNiva9bBOPxN5wzcwfPvFhGMPHUz7\npJ56js1TszlseuO9JKpySkN72/3CgKkU4WlD3dZ7LOb7rKq8ko6Klu9kH20ljVuRDzx3LuKN\nzgDwuTDXK2AZvuC3KE0Em8bF16sFgNScjM3n9/1oMKWV5cHPQi4/uV1Uxr/uVxvpaddoG3pP\nh65/8t2Rvx5axdE6OGx2yvWwvFfvRBVlu3uOEVdWaP41OBd375t7c1cJlQUAXStEb249o2/f\nVNW78IWbudUOAYBCo87JekwWburvIWMvh2RcdRVRGk1fXddY22DDpMUGmp2beGHTOBzOaF+v\nW5EP8I1SYpJvD9/XUdXss3AUoTYuXyadDGIP3ydkBHXzm8NNUsqVeuq5vjoxjXLy51T7peO/\nlhYBgKyE9INtF3ob/FYt1/cvUj9/yNM2Uutm26XpnlVl1f5eQa/vJwBAr8EmywKnS8ryz4OK\nIL8ATXG0jkdLt78/cxN7nBB0beLjs4Qa3k3zubMPi84AkCxJX7d7/SV7PvMGXFWFxfhDZi2j\nprRcTFHuR/0B4Ht5Cf5QQkTi3dGm3qKFsLnji49vxaS+K60sZ3M4anJKs5wmdVLW/JCd1pLo\nDACJWSkxKe8IeZxXu8+/8eIeIVVT3KdEfXWdiupKbnpVAFh+3A+LzgBQUlm2+LDviz03fvkT\n7ZwR9OjSK+yxvavlssDpTXQWlxbzDZ5XVU4HAJSmDml1aIqjFdCLS7jRGQDoxaUJp663/OXF\nZd8LhBplAkqqLvhRZ4yaZaMrRBldTW50vv/mSbcZA0QdO1vOH4HFx7dp720WOheUfMO/RFqC\nz6KI4vKS3deOrzvl/yj+h7cNeQmRhTwGjNkze+OpZbvPLN+zzWs1tneGXktMb2RvamPdlf8+\nad5art11jQJmbSA0ZhZ8UXczl3I21JzQm3vZjtUz5OLd7dJyiS/TuNEZAB5fjk54Xn/yh+ej\nZltu9NBftnNGUGnjalUoiSjSRlCAbgWV+UU8Ld/49uRLRlKaBo22+arKNbPZz3zuBO6Gb0kN\nlaFHNmKP03Izx26ckZiVUsOoff0x3mmdZ1bBF6d1nrxLIGQliEVsc4sKjL0cfI5s3Hx+74Bl\nrraLRt19/dM7RBjMusL//yYw0TEk7HKc6DCasJAOoyyriC22e/j2+ay9K+ftXxv9Me5NyjtJ\nMUmTTgbcbkN62208G4BNWOd8y5+wZV5W4RcAIKxa+dGMDaOGT10CguwUYu5prDLs6wfvA2ad\n/Jyc+72g7NGlV1sm889QiCCtC01xtAK5Lto0GUl8cmc1i5/IUyxEFlrk6Lk9tH4RMZUktHn1\n1mZeQqWOPLezPDu/trxS3kCHO/scFvsUfylaVPb9zMNr+FtwXA6mfQgte64HFuKusl8mxTiu\nmbzafX7LK7duPBuw9eKB2jqGvrrOmRV7rYzMbv0XNGvvytcf45VlFXwnL7kVGYZflC0sRGGx\n2aZ6xocWbJESkwy6f2n6rqXYU9wcpwDgZDWom46hqZ5xaVX5gzdPuO3VtfQn76I8B2tumb4i\n6kMsVl1MjCa60nXe8/fReuo63LR8iZFpBxaey/6YL6ciPW3TWAc3qx99BC0DVWKLoSoAvGyc\nxC7xZVpJYbmscv3qxtKv5UeWX44NTxSXERvp7YByHiGtBQXoViBEpQ49vPHBHN+aknIAMHQZ\najxh5E+dYeO0ZbSE3IjkKAkyzWvYBIseLdo+J6VFjCbCQsQaH3y3VjvbDMFnNcJw08vhbb98\naPWE+eIiYs0O5sbL+75nArDH2IV85rlXWkrqemqdErM+VtVUX3p8K7nx5TOHBGb63Tgc9vrT\nO3VVNO++fsz3zHdehb9Ieu05eDzv5pe4T0mpOdsMNfUSjz+69/oRm8P+8i3P1W9WHZNJEaJs\nmLR47cSFlaXVm90PlX2vIgF8LyjbOSNIy0BVr6c23/cy6aNvN87iSXB9VVy78Rbd+xrw7Ym3\nc2bQ24hkAKgqpweuCZZWkBgwoal7vAjSQihAtw6dQX2mxd0q/pAuriQvpf3TtfIeLd0ue/u9\nC0gAQE5q8DtV7R5e435hGI6WA2QlpEsqy7BDbWUNz0Hjgu5d+vjlE9YiJiL2yP8ylouDwEy/\nW/CzEEIji83K+ZbfkmUeD98+xx/mFRcmZn7cfe34uYj66XjeeW0mkxmT+g5aoKSibPe140tc\nvLWU1LO/5mKNolTRff/fu9ivm2WE/+UP2Z+6zxxYf3IWc90p/5Sc9L4K1uXfq/D7r2MjkvAB\nmkGve3DmRe6nQi1DVZuRZlnJ9ecXogj1tK9fRWc72jz8fCT3JSZ99LmXz/TKmrjHuNo0AC9v\nx6EAjbSKjjQHnZ+f7+3trampSaVSVVRUJk2alJmZ2d6DakCVEFPt3e0XojObyUq/2yhpXNqd\nX0wPpK6gEr7j4nALB311HZd+jmHbLijKyN/fem7igNEGmp2H9rZ7uP0i3+gMAAtHT7frQQwr\ncpIyndXqY1lY7NOdwUduvrzP5rB5Xs1nUltSTBxf7JWA/PPVQ+69efw04Or0Ye42xr2GWzrQ\nGQ2TOc/eR99/8+Q1T4LTcw+ve19alq38Gd8oItaQMpTJYC4f5n946cXbRx4dWHR+Uf8tWUn1\nAZrFZB1econJYAJA7yHdfI5M1TZSk1ORtne1XHXaG/dByIT8G0JCHemfFSLIOswVdF5enoWF\nRW5uroODg4uLS0pKyrlz5+7evfvq1St9/Y5d4Y1EIpHIZEIL/rD62/fonSe+vk+V1lKz8Jna\ndM5+c/3uoX5n8C3ayhrnVu5vdhiiNJFH/ldeJsUsPLQe2yQiLS55evkeLOPdVH8fbnWrAT1t\n7289h8+EV1vHeJrwCn82eWk5Yy8HQjFvTA/drhKiYrzJSPGkxCTKq4l57oWFKJ2UNbG6WUH3\nL92NbvRrLLPgy4+SRGdoZ2gV1v+akZARsxnZ8CvqTVhiamwW9/Drl2IObut2TXVtweciDX0V\nABg40XrgRD7XxTQxqrWj6cvbDQsK7VwtmvhoCNJyHSZAb9iwITc3NyAgYPHi+snT06dPe3p6\nLlmy5PZt4naGjoUkRNYf6ZB8MZQbGAzGDuY+y2IwrrvML0r6BAD5rxPinj3T2uat0alT324W\nZCAVJacza2sVjPUptF8sL8LmsM+GX3v49rmMhPRsp0m2Jr1jD92LT08qKvtu3qU7dl38Nu09\nvvZgRNyLW5FhY/s2VOfbez3wReLrhk8EUPzjHX0kMunlj6OzkqzCvS1nu3UyvBn54MCtk88S\nGvI0eQxsSPzGWy7WXL+bhaGpjXEv3tBfI1QzwNP687s8VR1Ft2XDpeUl4x5/4LA5Rladi3Ib\nLQ/HR2cADlWEqqzV/J6jRYenyKlKx4TV3yTsM5JPbRoE+QUdJkDfuHFDSUlp4cKGeqNTpkz5\n77//wsLCOBzOj+7Uf50AACAASURBVHI8dhT225dRpSQy7j+jiIp0mzzaZFJDfsuCt8lYdAaA\nGDn6ZbU85v6lAGBtYDb7k0JxTBIASGmpjjy7s9kSKnwtPuzLLdh64v7F6P0h3XQMCeX+0nKJ\nU0kpOen4wzeNp5IJm1PFRcTotXQ2hwMAXbW7fCsthh/7WlKUX/zVTK/buH4jnG2GbL90MPhZ\nCEWIMnHA6MVjZ3C7mXY2XuexaNO5PdjhsvGzsX0uETsun7h/8XjohXcZydzO3XQMl+yfij0u\nyPrm3Wt9YXYxAMiryXj5ueDfnQSgqCn37Qv224XktWWcMK35fyPiUqKzd7o32w1BflbHCNAs\nFmv79u1kMpnceCpAVFSUwWCwWCzKnyqx0YoSz95MOHmdSa/VGWJrtdzLbouP3RYf3m6Myvr8\nO0wSJ1izhEmqj35RKW8VcqUcQBIAyrPzwxf5SW6aeCz0fHUt3cl60NyRU5pNxg8A9NqaQ7fP\n4A//O7ebtwy5SSdDQkt3nfq7Z7V1jFUntoZGRzTxLuP6jfCd7PPsfbSMhNSQXnam3oNzoWEn\njpKM/NfGIZv5/3LdVIrwOo9F6zwW8T3tf1OWThk0Ljk71VBTj7v/W4RKmzvSc6LDmGGrPbB9\nOuoKKieW7KqkVwmRhURpIoGrr2LRGQCK80rvnXw+YeWIC9tCAIAiLDRpnbPzrAGRd+LKiit7\n9DPoZEzMqvo7MhNzjq288inus3InhSnrR/Ue8hNrMZF/U8eIa0JCQtOnE3fcpqSkfPz4sXv3\n7h0xOn+4fPfh4vrFzt/TsujFpYP3r+PbU9XcBFtkXURjMciNrk1zcalHI7LiTqyrvyMXEffi\ny9e8nd78T4hXUlnGjYaYq89Czz68Nmlgo2Ioxp26rHCds/3yIezQzd7Z0XIA9njj2YDd1443\n/S6TB7loK2tM+n9u/mlDXZcdaygpMGPYxD03ArkJ+5VlFft1twIAJot5Oyr8c2FOry7dualN\nWWxWWVWFnKQMdthZTZt7DxNPRkIqcu+t+PQkem2NtrLGrL0rQ6MjSEAa23c4NUECP5ORHp+9\nLXTJUM++eRlf1fWU5VVlAMBufOtPItMraza47MdmVDISvvhNOrL36Rpto5++pYz8UzpeaMOw\n2ez58+ezWCz8pAfm27dvc+fO5R6WlJSA4Pl4rVF2odQb4QN3ryZT+JQNFZGVGnFqe4TP1tqs\nz2QgsXHzB4o1DaueX6vU4l91/O6FHTPXcKu7/oiavLKeWidCAtKlRzcRAjQAbPNa7e4w6l16\nsr66Dn679o0X9/HdyGSyrIR08f/zfpBJ5B0z19qbNqrj5+MyU0JU/NLjWyQSyd1+1IzhE+xM\nrVed2Jqak9lTz3jXrPWyEtIMZp390nHc2WQfl5m7vNfvunrU90xAJb2qi4buyaUBNk0WWyGR\nSD31TADAY9t8rO4tBzjBz0LM1E2VPzeERRUdRQBQUJdVUJdt+mf1m1JisvDz3Qx63ev7CShA\nI03rkAGaw+HMmTMnPDzc0dHR09OT8Gx1dXVwcHB7jOsnsOtw160c4LDZHDYbgH9dZ01bc8/X\nVxmV1ew7QauDtmGNWrIqdh9pAPXnoWgqwreGrYx0Br2OyaQJN3/n8MLqg/0Wj6mpa4jvX0uL\nyqsrpMSIyTp66HbtoUtMp0mo38pms4vLSyRExfXUOqnKKy0dN4t3yyKZRJ41YlJtHePQ7dMb\nzwa8Ton3n7n2zcG7+D7nI67j7/UFXD3WXcdo6dFN2GFqTsaYjTMyzkaK0ZrPgBEW0yiLdLFs\nkaaINrbtm0KlTFnfVDmrVkQWIt4mIczXIQivjhegWSzWzJkzg4KCrK2tL126xHt7UF1dPT29\n4RZWYmKis7Pznx1j8/Qc7b48/38AIoHOYFshKnETIAFVQmyV+7z+3a2eJEQpySi42Y1k5HxL\nvhjKYjB0h/StzH4Zd8qf29m+R5+WRGcA6G3QY9pQ90N3TnFbdFW1eKPzj0xwGL3qBHFjeiW9\nask4b48BP6y2dzoseNGh+kRIJ+5d/F5ect03EN8hNSeD8BJCRtPCkm/xn5KavojGSItLfitr\nmONWlJc7/Nr3+Y1YDptt49RTk2dvdxsxMNdR6aRYkFW/mV5EjGY9gk+RXATBE7gAHRISsnLl\nSnzL27dvqdT6WFNdXT1+/PjQ0FAHB4dbt25JSEjwnoFCoejqNqyHFcwpjh7TXejfy96ful5H\nr9Ed0pfv7UG+bIx7NUQlfXHb9fWTOSuYpp8Lc06FBTNZTAfTPieW7Gz5YNZ6zA99/RDb6i0l\nJnl00faWvOpF4uuHb19Iiomv91h08sGVL9/y8M9W8KxixiNsWbzz6iG9tga/K533tuTtqDBC\ni7S4FPA4fvfCyQeX65h1Y2yHLx03S5hCmek4cflxP24H7xGTVHUUx/s0KrPL4XCikmO/lRVb\nGpqpyCk2MfJfRhOjbr65MGjdtbS4z6o6ih5rRhJqyCIIL4EL0KWlpUlJSfgW9v83O5SUlAwb\nNiw6OtrNze306dPcqN0hkUhWy72slnu11vmEKZTjPv4HF2ypYdS0/PoXAApLvg1eMQGLzjIS\nUsHrjg00s232VbuvHff5fwo9BWm5O5tODlo+obKmvtShkJAQ7zplvGaXRbrZjzwXce0+LjUS\nYc9L/+5WRtrEZYVHQ87N2lv/2z0mNaGksmzHjDVLx81SkJa7/OS2EFlo0sCxbvbEP6dqGLVD\nV03ENtqI0USDlu5ytfu5VCotpNZZae2F2W1xZuRvJXCzYB4eHpzGREREAKCmpmbEiBHR0dE+\nPj4XLlzo2NH5x1iMundBV8MXbn4dcBKfHq+FqBThn4rOALD25A5uPuXSyvKVgVuafQmTxVx7\ncgf3sKjs+7aLh8RFGqaDWSzWjv8v+eBrfH8n/KGzzWBCUichstBdv7OP/K8ELd1lptco1pNI\npOWuc25uDOK9BXrm4VX84emwYKz/1CGu97eeD/U7wxudAeDArZPcbZDVtfQZu5fzrc6FIH+e\nwF1B/8jq1asjIyNnzJixa9eu9h5LW+Gw2bc9ln5+VB8ski6ETHx8hirZtiWUYhuX/otPT2Ky\nmE2vof5aWkzIrx8SHU64wr3/5gmLzRIi87/tOWng2LKq8oO3TlfWVA3rbb99xhrePiQSCVv+\nQZgPkRSV2Dp9Jd8FKjWMWsJhSzYxxac3+outorryU26Wcadmil0hyB/QMQJ0QUHBwYMHASAh\nIcHOzo7wbEhICN/J6A7na0IKNzoDQFlWTurNcPyuwragrawR9ymRe6iuoNLsDhdVOSVVOaX8\n71+5Lbw5N2jC1KYX+c1znjrPeWpLRug1bMI9XCZSr+HuhDN/KyvOzP/SRUN3hOVAfKlZJ+uB\nLdliqqOihT8UIgtpKaHVb4hA6BgB+tWrVwwGAwCio6N5n2UymbyNHVFV4W9VZvk1aycueBDz\nhFueqiXp+Ukk0oklu9z85pRXVwCAmrwyb00Aem1NVHJsS1ZZ8KqkV52PuJFXXNivu+WAnrZj\nbIfd8A08GnquhlHrZDVo/qhp3J5fS4uWH998/tENJpMlRhP1915naWj2OiWOw+HISsrMdprS\nkrebP2rq6bBg7k3O9ZMW4QseIkg7QlW9BUhVQdFJ89HM2oYJ0DFX92vZtXlqtMyC7AuPbtJr\na0b1GdqrS3e+HVad2BabmqCtrOE72cfWxAIAisq+R3+Mk5GQIpFIfRbyuczvqWfy9vB93vam\nlVSW9Z47PD2vPkHoCtc527xW8+15KuzKrD0r8fPFwkKUOtzGSD21Timnnr1LT156dFPS59Qu\nGrrbpq/i+zujrKrifMT1r6XF9qY2/bv/sN4KgvxhKEALlg+X7z5avqOuik4SIveaN6nPujnt\nPSKoYdT28B7EXZgsLiL29vB9QmLPS49v+Z4NSMvJYOO+ThQhSu29jGZ3MxJsu3QQv7CaRCIV\nBscrSssTuhWVfdec0Jsw6cwren+I0zpPbs1vKTHJxMAITUU0g4F0DAK3iuMfZ+Q63Ot9iNuD\noBmJoYIQnQEgJvUdfttIVU31zZfE62I3e+ePQU+dbYbgGzuraZNJ5KcJrw7fOfP8PZ+5Kb4y\n8hsl1+dwONyraTysMG6zZ0vI/MCNzgBQXl3xIOZpE/0RRKB0jDnofwpNSkLF3Lj5fm2Jxagj\nkUhYLdo6nil+BpN/eeyNU5ZGxL3EJqZpwtQdM9ZM3DrvwqOb2LNTBo87tWz3j96xoroy6XOq\nipwilkADLyo5xsqImGFZS4lPnjkzPZPk7DRu4HayGsRb5+Wv/5MR+ZugAI00Ulte+XCRX/rd\np0AidRk1aMCuFb0NeqgrqOQW1ScIFaHSnKwHffmWJ0oVUZCWw7+2m45hyslnV5+H1NYxnKwG\n5RYVcKMzAJwOC/Ya5o7NXxOEvHo4Zcei7xWlADDRYQxFiILPsXf9xf0Fo6e//hhfQa+0NDST\nFpcEAF1VLc/B47llBCTFJNZOXLRg1NS3ae8Drh0rLCmyN7VZPn52bR1DUVqeu9VbSkxyaG+7\nVvxxIUibQnPQSCPhCzcnnb/DPTSd6Wq3xSc+PWnBwfVvUuJ1VLQWjpkWePdiTGoCADjbDDm/\nav+Pan4fun167v5GC5yPLNzmPcKD0K2GUavq2rO0spzbIkKl4acvehuaslns2LQEAFCQlru+\n4TiWfZTD4Vx9HhqVHKulpD5tqOuPdui8TXu/9NimxMwUA83OW6ev5PsbAkEEE7qCRhrJfBiF\nP8wKf3lvVM/ErI9LXGY6WQ8ik8gDl7th0RkAbkU+WHTI97jPDn5nAt7FamoKyrzdPmSn4aMz\nAGgoqOIzoIpSadzCV0Vl370ClqWcfAYAJBJpXL8R4/qNaPoTmel3e+R/pek+CCKY0E3Cf9fn\nwpzoj3GV9CpuS3F5SX5lo+ImeZXfh6+ZtPy436gN04evnlTHqsPXHgSAoPsXw2L53HY7dPu0\n166lhEZ3v7mXnxALSKorqBBaxvQd7jXMXV5KVkNRdb3HYkIFrdScDGyaG0H+eihA/z3Ks/Pj\njl6OP3a5Ipe4bYSAzWFP2bGok4eV1Xwn7YmWWD57ANh++dAzmTJ8z7siDTnqHsQ8vff6sUzj\n225sDmdlIDHdaGll+eLDvrz3EqtqqqfvWor/lQAASjIKM4ZP4B4qSssvHD39uI9/0bX3Xy68\n2Thlifb/S7Fwzdu/9q+fmkMQQAH6r5Hz8u0ZG9enawKerA44bTU+/837JjqfDgs+E16fV+h7\nRemk7QuwnYRJWSmPFSuCtUrTJGtTJWsvapVEKjQKpqk5GQtGTyOcjbekbGpOxo9WelTVVCd9\nTiU0Hlm07dzK/d4jPDZM8nl3LFxNvtFMyCr3eeKijaa5zz68FhL9sIkPiCB/BxSg/xIv/jvA\nrKm/scak17zc3FQyuajkWPxhaWV5cnYqABhoduaQIFK+6pBe0WG9oiR1Yn3u7rpGq9zm9Tbo\ngW8klFl5mfTmWOh5EvwwCQa2Qq6ksiw0OuJR/Ms6JpNMIk8cMPrIwm2+k31U5RqyJN98ed9i\nnuPQVR4m2gaEk8R/SgIE+duhm4Qd0ve0rNQb4ew6pp6Tg1J3AwAoy8rFdyjN+NLEy9XkidO+\nWMvy8XOOhp6rrqnPVKcsqzDCatC+Gyeww0kDxw427w8AF1YftF86LudbPgAoSsvvm/sf9zxX\nn4WO2+RNOLkwhcJdTD1n5BRVOaXn76NHbZiOrasz0tJ/sitYSUaB8KqXSW9G+9bny87+mkt4\ntrNapx99ujomMyEzmUwid9MxbElpcwQRWOjr2/HkRsVdH7uAxWAAwOvdpxyDtuqPdFAw6vzl\nRcN1sYKxfhNnmOk48dDt09zVwdOHuWPXrXnFBdzoDAAZ+dlWRj09B99/n/nRQLOzpWFPrF1P\nrdPHoKeP4l8yWSwH0z7YwmTMtksH8W8kIyGloaCmrqiiLqcsLSHVt5vlKJshAOC9ZyUWnQHg\nQ3ba+tM7jyzcRhhk8NMQ+AHrruYu/RxffXi7/fKh/OJC667m6zwWYaW+Mwuyh6+e/PHLJwDo\nrmt01+8s701IBOkoUIDueF75n8CiMyZq+zH9kQ79Ni++4TK/uqgEAMSVFfr9Ryx2jqcmr/zu\nWPiRO2cLSr727WY5waE+1VFGfjahZ0Z+trv9KN7dfeIiYk5Wg3jPnP+90f3J0sry0sryxKyP\nAHDDN3BUn6GpORlvUuKxAMqFz3fKxZvC9PDCrYUl3/TUdMb3d0rNyXBYNh6bOo/+GBeTmvA0\n4CqZRJ5/YB335AkZH3yObLy89nATPwoEEWQoQHc8FTkFjQ6/FACAoon+lNdXvzx7QyKTNfv1\npkrw3zzCpSqntHHKEkJjj87Eot28oblpfYx7E/Lrcx27ez45O21NEJ+Ch51VO/E2jrEdduDW\nSe5hd12jmY4TuamXLj6+yU2RCgAvEl+n5mQYaupFf4zDn4Qw244gHQu6SdjxqPRsFEaVexph\nD2hSEnoj7DsP799sdP4RfXUdfD7oaUPdhls4/NQZds/25cZ0QrL8wpIivtFZSkxy7cQFvO32\npjZnV+4z1NSTkZAaaT341n+NalxV1VQT+lfSqwFAvfH0uobiHyrajSBtAV1Bdzy2G+Z9fZ/y\nPTULACQ1VBx2LG/Fk692nz++v9P7zI+dVbW76xo12z+vuHDP9UBsF/iC0dNMOxvHHLr74fMn\nAPA56hsW84zb00BD923j8lr2pjZOVoPc7J3xKzfwPAaM8Rgwhu9Twy0c9lwP5B5qKal30zEE\ngDUTF4zfNIvbvmYCn9CPIB0FysXRIbHrmIVxySwmU8XchEJrt/q5KV/SzecMw1/MBq876tLP\nEXuc8y3f039xRNwLihBlyuBxc509zWY1ykd6evmeyYNcfvndD9w66Xsm4HtFqbl+t2OLd3Cv\n3F99eHvl6R0yiezu4Gyuz6f+AIJ0FChAIz/ne0VpfvFXPfVONGHqtJ1LTj64jH/WUFPvQ9AT\nfEt5dYUIVYRKEQaAqf4+3PxzFoamZ1bslZeUJaTE+yn02hq/C/sevn0uJS45z9lzpPXgXz4V\nggggNMWB/IRlxzbvvnacxWYpySicXBbwuTCH0CGz8AuhkDY+ydzJZQEu/RxjUt+J0cTOhAcb\nTu0PAGP7Dj+3cr8IlfYL45m1dyV3S2R47LO7fmeHWdj/wnkQRDChm4RIS914eX9n8BEWmwUA\nX0uLJm6dh0374vXS7950IW1HywEbJvlcf3E3MSsFa7n2/O6Wi/v5ds7//vVzYc6P/sirYdRe\nfHwT30K4nEeQjg4FaKSlCGWrSivLh1nYm+o1FH9RkJY7tGBLs+eh19a8/hiPb3kcH0noU15d\nMWy1h5qrWScPK4t5jryX6gDAYDKYLBa+hW83BOm40BQH0lK8u7F1VbVjD917mRTz+mOcvrru\nQDNbMZpos+cRodIkxcTLqhpShiryTEOvPbnj/psn2OOY1IRZe1fe23KO0EdKTNLayDwyOYbb\nEp+elJabqa+u0+LPhCACDV1BIy01eZAL/oaes80QPbVOZBK5r4nFEhfvkdaDWhKdAYBEIi0Y\nPR3fsnCMF6HP04RXhEM2h7ixEABmOk7EHzKYdXdfP2rJGBCkQ0BX0EhLqckrvz18f+/1E7nF\nBdZG5t4jPJqebm7CxslLumjo3okKlxSTmDF8AjfLB5eitDz+UF5KFr9LhUtZVpHQIkRG1xzI\n3wMFaOQnaCqq7fRe9/vnIZFITWxCAYCFY6ZHxL3gHi4eM4Nvtz7GvTQV1b58q68qICkmMcJq\nYMuHcfnJ7RP3L9Uyap1thiwYPQ2lvkMEDfpGIoLIyWrQ453Bp8Ku1NYxXPo6ju07nG83STGJ\nB9vOrzqxLTYtoYu67ibPZZ2UNVv4Fhcf35ywZR72+Nn76MLSou1eq1tn9AjSStBGFeQfNXC5\nG/4iXV5KtuhaU2VoEOTPQxN2yD+KUBqxupaOLfFGEMGBAjTyjyLsORzSy06ILNReg0EQvtAc\nNCIoHsQ8DY99JiclM3WIKyG/HYvNSsxK4XA43XQMWyuMrnKfn//966kHV5gs1tDedkcXEUu6\nIEi7QwEaaXORSTEJGR9oVJpJJ4NuOoZ8025sOrdn/emd2GP/K4djD93XVdXCDnO+5TuunZyQ\n8QEATDoZhPqdwcrO/iYqRfjIwm0H5m1msdk04XbLCIggTUABGmlbs/euOhJylnuoraxxc+MJ\n087G+D4MZp3fhX3cw9LK8oCrxw7M34wdLj7ii0VnAEjMSllwcP3NjSdaa3gUIQoFTWwgggrN\nQSNtKCY1AR+dAeBzYY7XrmWEbl9LimrrGI26fW3IqvHqw1v8U6iKFfLvQAEaaUMfstN4G+M+\nJdYwavEt6goqhElnCwPThmcbV7FSk1du1TEiiOBCARppQ4aaeryN8lKyhGloEol0evkeOUkZ\n7NDe1GbpuIayVavc5+E7oypWyL8DzUEjbai3QY/pw9xP3LuIb1w7cSFvz0Hm/TLORsWmJchJ\nyhBmqJ1thkTvD8FSP7vajbQyMmvTMSOI4EABGmlbgT7+kwe5hMU+TcvJVJJRGGk9aJB5P749\npcUlHUz78H3KwtDUwtCU71MI8hdDARppc/26WfbrZtneo0CQjgfNQSMIgggoFKARBEEEFArQ\nCIIgAgoFaARBEAGFAjSCIIiAQgEaQRBEQKEAjSAIIqBQgEYQBBFQKEAjCIIIKBSgEQRBBBQK\n0AiCIAKKxOFw2nsMbevixYsTJkyg0WhiYmLtPRYEETivX7/W0+OTFRYRBH9/siRRUVFhYWEx\nMTFZWdk2fSMOh5OZmSkqKqqqqtqmb9RCTCYzOztbQkJCSUmp+d5tr7a2Njc3V1paWl5evr3H\nAgBQVVVVWFgoJycnIyPT3mMBACgvLy8qKlJUVJSUlPyT70smoz+jBRgHaSXV1dUAYG9v394D\nqZeZmQkAbm5u7T2QelFRUQCwaNGi9h5IvZs3bwLAli1b2nsg9Y4cOQIAQUFB7T0QRICgX54I\ngiACCgVoBEEQAYUCNIIgiIBCAbrVkMlkc3PzLl26tPdA6lGpVHNzcx0dnfYeSD1xcXFzc3MN\nDY32Hkg9GRkZc3NzAbmjCwCKiorm5uYKCgrtPRBEgPz9y+wQBEE6KHQFjSAIIqBQgEYQBBFQ\nKEAjCIIIKBSgEQRBBBQK0K0sPz/f29tbU1OTSqWqqKhMmjQJ29HX7oqKihQUFHbu3Pnn37qu\nrs7f39/Q0FBUVFRPT8/Pz4/JZP75YfBqx58JnsB+Z5B2hwJ0a8rLy+vdu/exY8e6dOkyd+5c\nMzOzc+fO9erVKy0trX0HVlNT4+LiUlxc3C7vPn369OXLlyspKc2dO1deXn7t2rUeHh7tMhK8\n9v2ZcAnsdwYRCO291/yv4uXlBQABAQHcllOnTgGAk5NTO44qLy/P2toa+9/t7+//h989LCwM\nACZNmoQdslgsV1dXAHjw4MEfHgle+/5M8ATzO4MICBSgW5O8vLySkhKLxcI36urq0mg0Npvd\nLkM6cuSIjIwMiUQaOHBguwSjkSNHAkB6ejq3JSsrCwBcXFz+8Ei42v1ngieA3xlEcPz96Ub/\nGBaLtX37djKZTMjfKCoqymAwWCwWhdIOP+39+/crKipevXq1oqLi4cOHf34Az58/19bW1tXV\n5bZgh0+ePPnzg8G0+8+ESzC/M4jgQP/7W42QkND06dMJjSkpKR8/fuzevXt7/UsLCAiwt7cX\nFhbGsmv+Yd+/fy8pKTEzMyO06+joRERElJSUtHWSbr7a92eCJ5jfGURwoJuEbYjNZs+fP5/F\nYi1cuLC9xjB48GBhYeH2enfsFhxvRnxpaWkAKCsra4cxtffPpGmC8J1BBAcK0G2Fw+HMmTMn\nPDzc0dHR09OzvYfTPurq6gCARqMR2rGWmpqadhiTAEPfGYQA/Q3VJlgs1syZM4OCgqytrS9d\nukQikdp7RO1DVFQUABgMBqG9trYWAMTFxdthTIIKfWcQXihA/4qQkJCVK1fiW96+fUulUrHH\n1dXV48ePDw0NdXBwuHXrloSERPuOpx1hU8y8UxlYCzbRgUB7fGeQDgEF6F9RWlqalJSEb2Gz\n2diDkpKSYcOGRUdHu7m5nT59+s9EySbG075kZGSUlJR498VlZmaqqalJSUm1y6gETbt8Z5AO\nAc1B/woPDw/CckUREREAqKmpGTFiRHR0tI+Pz4ULF/7Yv7QfjUcQ2Nrafvr0KTc3l9uSnZ2d\nkZFhY2PTjqMSHO31nUE6BBSgW9Pq1asjIyNnzJixa9cuNIeImTJlCgCsXr2aw+EAAIfDWbVq\nFQB4e3u388gEA/rOIE1AUxytpqCg4ODBgwCQkJBgZ2dHeDYkJOTfnFgcOXKks7PzmTNn0tPT\nbW1tnz9/HhkZ6eHhge3i+8eh7wzSNBSgW82rV6+w5QrR0dG8zwpI/rZ2cfnyZT8/v7Nnz+7Z\ns0dbW3vLli1Llixp70EJBPSdQZqGahIiCIIIKDQHjSAIIqBQgEYQBBFQKEAjCIIIKBSgEQRB\nBBQK0AiCIAIKBWgEQRABhQI0giCIgEIBGkEQREChAI0gCCKgUIBGEAQRUChAIwiCCCgUoBEE\nQQQUCtAIgiACCgVoBEEQAYUCNPLXqqys1NTUHDVqVHsPBEF+EQrQyN+Jw+F4e3vn5OS090AQ\n5NehAI38hVgs1uzZsy9cuNDeA0GQ34JKXiF/my9fvkydOjUiIqK9B4IgvwtdQSN/lXv37hkZ\nGUVEROjq6q5evbq9h4MgvwUF6H/U2rVrSSTS0qVLCe12dnYkEikkJAQ73LZtG4lEOnXqVFJS\n0ujRo+Xk5KSlpQcOHBgbGwsARUVFM2bMUFFRERERMTMzu3nzJv5UHA7nypUrI0aMUFFRoVKp\nMjIyVlZWe/fuxddCxc5/5MiRly9f2tvbS0pKKikpjRgxIioq6tc+V1JSEp1OnzlzZnx8vJGR\n0a+dBEEEpQ4l/gAABNJJREFUBArQSPNiYmIsLS1v3bpFoVAqKioiIiLs7e3j4uIsLCwCAwMZ\nDAaHw4mLixszZsyjR4+wl3A4HDc3N1dX19DQUFFR0a5du5JIpOjo6EWLFk2ZMoVw/idPntjb\n28fGxtrY2CgqKoaGhvbt2/fXZpCtrKzevXt39OhRSUnJ3/3YCNLeUIBGmnfw4EFTU9P09PSv\nX79mZ2fr6elVVFT06dOHRqPFxsZ+//69sLBwwIABHA5n37592EuuXLly5coVeXn5N2/eZGZm\nxsfHFxUV7dy5EwAuXLiQmZmJP//ly5ctLCwyMjIePHiQlJR06NAhFos1Y8aM3Nzcnx2qra2t\niYlJq3xqBGl3KEAjzRMREbl69aqOjg4AaGhozJkzBwDodPqVK1fMzMwAQEZGZv369QCQkJCA\nvSQ8PJxEIq1du7ZXr15Yi5CQ0JIlS/T19QHgw4cP+POLi4sHBwcrKChgh7Nnz3Z3d6+urt6/\nf/8f+oQIIpBQgEaaZ2FhoaKiwj3U1dUFAG1t7W7dunEbNTQ0AKCiogI7DAwMrK6uxkI5F5vN\nVlRUBICamhp8u5OTk6qqKr5l8uTJAHD37t3W/SAI0rGgZXZI8zQ1NfGHNBoNAJSUlPCNVCoV\nADgcDrdFRESksrLy2bNnKSkpnz59SkpKiomJKSkpAQA2m41/bc+ePQnv2LVrVwD49OlTa34M\nBOloUIBGmicuLs7bSCY39ecXm8328/MLCAgoLS3FWkRERPr06fPp06fPnz8TOktLS/N9Rzqd\nXldXJyws/OtDR5CODAXofxr+ghdTVVXF241EIv3smVeuXOnv70+lUufPn29lZWViYmJkZCQs\nLNy/f3/eAF1dXU1oKSsrAwApKSkUnZF/GQrQ/ygKhQI8c8EA8AsLJ3jR6fQDBw4AwJUrV5yd\nnfFPFRQU8PZPTk4mtGA3G9FCZuQfh24S/qOwJRNJSUn4xqioqPz8/N8/eUFBAZ1OBwBbW1t8\ne1xcXGpqKgDg96oAwM2bN8vLy/EtQUFBAEAI7gjyr0EB+h9lbW0NAM+ePTtx4gTW8uLFC3d3\n96ZnlltIVVVVTEwMAI4cOcJtfPPmzdixY7HHhCv3oqIiNzc37P4hi8Xy9fW9c+eOkpLS7Nmz\nf38wCNJxoQD9jzI3N3dycuJwOF5eXgoKCsrKyn379qVSqdOmTfv9k4uIiKxYsQIA1q5da2ho\nOGzYMBMTEwsLi4KCAktLSwD48uULvr+BgUFYWJiGhkbv3r3V1NQ2btwoKSl56dIlGRmZ3x8M\ngnRcKED/u4KDgzdv3mxgYFBZWSksLDxv3rzo6Gh5eflWOfn69esvXbpkaWn59evXR48eVVdX\nT5s2LS4ubsOGDQBw/fp1fGc7O7uwsLCePXsmJSVRKBRPT8/Y2Fh7e/tWGQmCdFwk3vv4CPLH\nbNu2bdWqVd7e3vjJEARBMOgKGkEQREChAI0gCCKg0DpoRKDFxsaePXu2JT0XLlyIpXNCkL8G\nCtCIQPvw4cPevXtb0tPFxQUFaOQvg24SIgiCCCg0B40gCCKgUIBGEAQRUChAIwiCCCgUoBEE\nQQQUCtAIgiACCgVoBEEQAYUCNIIgiIBCARpBEERAoQCNIAgioFCARhAEEVAoQCMIgggoFKAR\nBEEE1P8AzT/UvsS/JT8AAAAASUVORK5CYII=", "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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Ih0Ol1QUFB4eHhZWZldQVlZWWRkZEBA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\nEBwAwA3BAQDcEBwAwA3BAQDc/g8TIB5sF5fXEQAAAABJRU5ErkJggg==", "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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yxRTkjtRxPEzfkby3ILvpk3kaGh6r81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\nEyTbcdfhEIEwfD+gx2zJkiVEtGbNG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"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
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  4. \n", "
\n" ], "text/latex": [ "\\begin{enumerate*}\n", "\\item 519\n", "\\item 1200\n", "\\end{enumerate*}\n" ], "text/markdown": [ "1. 519\n", "2. 1200\n", "\n", "\n" ], "text/plain": [ "[1] 519 1200" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dim(fm_SCRAT)" ] }, { "cell_type": "code", "execution_count": 92, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Time difference of 0.6926274 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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Br8mwerX06awodvjJJKyPhGt8WXgS/bm1ca6CQBoDOaFg2JeWZQlPkpoZ+z84hA\nry9vH2h5aDg7JmR+Qrj1BYK9A8I8vSj7jFyo1uje+uGdDm8/0alIgG6rY8klGuvnfjllKK0D\nAB9nm9UoPA6kzRanFF7dZc5TRlntK8gBg0vVKK0Fw6JWgyu11tGZz5qGa4qGBDUboSa6EwrO\nIW+NSihXaQD0cnV6dXgfy7l4D+kQf/ffz19+Zlfyxyey6nR6AIP9PCgKt4f7rZs64ps7h3hy\nNFqGvicycNGQxuxLIXLZgQcmqF6e89VQLxTsRsuPEInujgxxtJWba7PxweN5uCcRAi4mx+NI\nLqobIBVgeDicREi5hGoVqhsau8zm+RsMsDuTvTolw82kGaC/0kDzz/E9lJSDKKynODyY6qqb\nbWxIdCOFB1CZTtOgKRpgoj2c7c47C/nztv5rPv76zIXTCyYV16leHxG/PCneXPhIYq9JGw9v\nyr7E51BCLkdrNP16z/DBfh4AhFwKRYcglMNn0K28J+KWIQG6rZKGBngFyssLr06EivVDUq/G\nYzcJ7o4Hi6Z/Q0dFoEaNg9m4ogSA6gYU1kBrREnTPKpqjqiGFrkxmkHaKwU8lwKuMwPKOrc0\nh2UFNBs91OYfXqI7qS/Gpb0AOBTVx0ueXFJ1odp+W/dMq6l1F6rrvjqT801qTtbjd1vXeTQh\n9JJOkHUph6JM3hLRIF8Pm0vU5JAA3VORIY62+je5pHpor8YpcSIenITYeBq/ncLpy41ZRq0H\nCQ/m4NeTjdEZgEqPbWexJ9P6ghRYHhgAHLDhhprh2qJEUznHaojDV6T3CXL3DnLv2BsjOk5t\nruVwflwYgPNVyi9PZ1sKjxZWbMyyeSb81qF0td7kJLBZYuou4svF0jtjY1gWSr3e/hEip9mQ\nGtFTkADdJhqtcebDW40iHvzkAMDl4FgeKhtQ1YAT+ThVYFO7sBoZrW8DyoI6JvDL4TUuBxex\nRk+9ariuKNRYG2Cq84xwvjJvbIGGqSlTXvs6RNfFaRoWmxET7CcTA3jq7+TRP+1etPf0zD8P\nF9Q1cGwf/hkYRqkzfHzi/MasS8eKKsyh+FBh+bGslO0ZmQA0BtOvGfk27/Eie733WGSIo00y\ns6uqFRoUK9CgAwCVDjSFOD8Eu4NhUGQ7T7n5wpMWsKDyuXJ3Ru1maszAIGYNEYZqABX1ogoe\n93JYUNaJ3OF3k9/A7sk9Bpf3w9AAwE0kOLngjlXHM/NqGoLk4rPlivX3jPAQC1b2AygAACAA\nSURBVHUG5pndJzUGE4A5MSG/ZhYAeGnfafMFkoK8FvaPfPvIWeurPr7zRK6i/q5eAZVq7Xdp\nBUnVYc9OJeNgPRMJ0G3i4S4GgIMX4CwCAIbFsHAkXl2tG3g1KZLehFMFuFwNDt3iMu5mFJTQ\nDfappfUiIQATny9xauviBaLL4UuR8BjytqMmB4CfTPzJ+AEACutUUh7XVSQA8HBi+OTe/pmV\ntUHO0t+yCmAzDIZDl8sPXS63u6rGYFpxOH3F4cb0SZvPvyHmsI9MfvgW3BBxi5EhjjYJ8ne6\nZ1JvGEyNSfopINrRGoF/LyK1CDVq6+jMg8nH1OBrrBewjncIFbJGlqaU3k1PfhgupzAxGoB/\ndbV7uK/DdxHdA0+C+iK7smOFFebobOYpEY4O9g51kZ4srrqxD0k7tv6Pg5tuvJFEV0V60G2i\nU+tfeyyhRqFJz6qsZ2FgGHAd/W2zXaINQMIaButK+KwJgNFAnZH6e2uV5bS06uroJOUsKhyV\nlOMmNwgFAenZ7pdKAOQOSVQ7y7wPpJ7K0Q+Y+EvqP/N9vKQguqOGKzCobQr0RgnP8e/dUH+P\nbRfso3lzQh5Pa7DJkRQslxw/un7aqHtvpqVEF0R60K07vOnUnKilY6avP3isqKZWazCYYGKd\na+odVI0PaNwq5aoIQzX/aseZCzaaXxdorOunL40xVAaY6n3lDO5JUAZ468VClqYKE6LOjhvu\nmV84YP2OiP/b4pOaHauv5JeVfvvTWQefRXQLXPsHElI+964ImwzR7NWlJkuGxe6fO17Aafqt\nFHId7NWwfN5Lvb28LS9dhPxZsSGMjsyX74FIgG5FVanywV+zNs+5pyY2FHTTl0u5PYOvaPYr\nEeyGwaGWV2Iu48S3GYl2amhwi/CnwQYa62L1FX4V5Vh3AlbzNEwS4dmJSXyDPtBU521SeTKq\nWH1l1l8nO+TeiFtA4g2na+Uz+i3zktbIUFdXA94W7P3kgEjzcZiLbFyogwEuWlnQNzgo0EnC\npWm5kL9qXD8PsbCKJglbeiASoFvx4d68/NgIdmsaUi7bJEJS6UX/ZKCwBoztpNTenuYtZT1Y\nLT29X73tmgJGb6rOKc4ReGTz3FIE3qf5PqyeRYnNRLrSqDCdxObBoCan4IZ3tCM6GUUjdh4C\nkiBxsO+JUmd4++hZEZe2nkXfz7vxmXOeov7tUQnWyf0H+rmfe3zyS5G8oXK2sE5lZJharf7h\n7Sem/3H45YeWd+yNEJ2BBOhWpGk5KFGg6mpnWcBFb09EeEPEkynrsScLBttHfyI+XERSVh/g\nz21wk18YMcAgbEx1xHBoE5d7uW+MYUh4We/gCo6EBaL8xHJv+/1Z9LYBmjUYjc2zLBHdBVcE\nv6HQ1DQ/83ny+W/vHGZXWFDbOHpGUQiSS/1kEvNLEY+zZcboWA+5iWVfOZBqqc+ybGYDFRMU\n0TGtJzoTeUjYCk9PKYqvLsZ1lWBqArRGFFRCLhJfuACFAflViGoaEIRGD4VGwhj0YmcA9R4u\nhx+e4Zl7mWJY59KKgkEJKhcnc0WPjPzQPcddcrVD58SttZplx1NpBbYLgmOH9eIJyHeqO1Nc\nBGO/9cmRwvIXB8eIbB9alNSrvzjVuNRwcu8ALk3VqBufPMd7upoTRpfWaxr0NlerrVc++fkr\n00feOTphaKWyurS6opdfiEhA0mx1e+TXvhUDfCS/qK+mex4SisoG7DhnnkV3kcPnwmT8Jxt8\nDkLcQVGo17gcv+gc56PKK3Mtbpy+qhcJi/tEAOBrtZboDKAyNlSTUow6Df+LExjUG7G+oCg0\n6Ax7zx/iB/TRV3ibVACiBoU99+W8W3zXRDtj7SfFsyz+LaocEWgz7rHqeOaPZwvCXZ3cxcJx\nIT5vjkqQ8LihLrKMyloA02KCzNV8ZSJXkaBG07QRhKJB+dVfP33110/j+o7Yn/ovwzJuTi7f\nv/TxXYPHdfCNER2LBOhWxHtLIL6ajtlVgl0ZljnOrImlaJqiKPbvDABwEmFaX0NCgLqhXhUQ\nWbazNnb3kezRg418HtdkuivSJTvbfqpcpEzDVCvOUF44dIE+mceIhKhTw8QaQafzPf3dNGu2\nP+Ub5gmiu3PpBXCBpnS1J65UGpotZfozu3BuXPDiobHWhRJ+4y/pluyiZwdEcWmKpqg1kwY/\nsOWo1mg/8LX3zBHzQXWd4v53nylan+wkbn2DY6LLImPQrRjoJwkaENi4H4pCjXqbmc4GBuy4\nGCT1xrhozB4Qc+z0iJ829ftzz8g/d5gSAguDgrzSsp1LK000XfDxFkGu/RTX9ImjDNG+3owa\ngEyjhkLVmHcJMIGOnT2KROceQuAMvs1zBRmfZzfluaC2IbWsZleeTRaXojrV2fLGRAJHC8t7\nf7l5V17JsaIKhmHDXFqJvHXq+rN5We3ReqLTkADdChGX3jQ3yjPaRSLjcM4Wwk1iX6OgEn38\nEOHldqU8MLXx94EyMb3/TWE8nEoG9lH6eLgWlvpk53tn5/tm5Vm/VS8SXBgxIMFQFmJUSkw6\nuwsnJZA8dj0IZfO7FiAT59c2TPvjYGaFsl5n2Jt/ZdL6/Vqj6cClsid2nqhUa1kWDMt+npxt\n3U2O9pBrjMywH3bN+vNwZmUtABGP81jfXs8MjAp0bvaTCXi5eDQvJLoRMsTRCo1K9+bYd/op\n6gCgAuejoi9zadZoPd+uMbA6Vdiv03Uqr2pwkwNQersDoFg2fscBo4BfEda0TkEnEanlziEN\ndXojVcORaKnGR0beJtWwkSQDTg/iHoOSY5ZXzkJ+1aKZA9fuiP16q7mEz+WIuFyN0fht6sXs\nqrqPxvdP8HL5cGy/pcNiE77Z7iTkvn9bv5FBXjI+b/nIhOWH0wD083b/96EJAg4HwCfj+0//\n4/Dey5X1msaFi1MT4nv7h9zy+yTaEwnQrdi/7phR0TSnIup8Vi/QCo5QQQvzuXIWlKVPrXG2\n/5dTI28sMQr4VyLDfLPzAEiqa2EVoCmWFTSoOAajgGWH6YoKOU5amic3aQL4hl/f2x41MHT4\n1H4UZb8fHdH9hEwAy6IyHRQFp0AoL1EGdaCz5HRp9dgQn7lxoY/uOKExGgGYGPbg5bJ+325P\n9HbdMmN0oLNk0ciB08LdzNlKAbyRFCficZbsT9k0I8kcnQHQFPXz3cNmbj4a6yYrUKpGBHo+\nktgbVZlwj22xSUSXRwJ0KyoK7aevcsF4mNQeJjXDUpVyT69g1zwTA4oqDwuq9fGUl1aYq5WH\nByl8mkaQC/tGmQN0UFpWcXxvg6AxV07gmSyu3mDk8bgGA581hRhrOWABsBps+XLfli8xds+Q\nF9Y8eCtulehQNA/hdyH8rsaXJj3UlS86375j6fwVoxN7uzpVLQo8WVL1zO5TWZWN0zpTy2oW\n7jr51+wJz0x5kCrcZ32xGo2OouB/NWSbiXncapV6dUGpymC4XKsaE+ITqbxMAnS3RsagWxGW\n0OI6XVc/od/isd5DgzkcGgAL6uTsSekTRxbFR9V5uqXePRZWPV+lSCZykQAQKeuH/7A57ERa\nwNnshO3/RB840cAT0gajghYeEQbsEYXuEwUXcptm4+1bd7y0oLIjb5HoDBw+ZH5D4kdmfvrL\nYD93VyFfyueNCfHZPmu0df6Nw5fLwZNQVWl2754Q5ivmctVGo3WhgWFPlFQ16A0sixMllYnf\nbM+pIQk6ujcSoFsx8p7+I+8dYD5maZsvl95JmlOp+beo3gSApsChmNL6cpOo3NurOshXXmoT\nVZ0vX2Hd3AGwoIR1Db2PnI7dc9TzfMEpvs9Rrm8NLTrD926g+AAM4GTyPBR000P/isLqjr5N\norOE8dVA00rvELmsr4+b5ay3VARdLdTmxxtNy/1HB3uvnjhw1XGbSRpr0y9bZwTQGk1jP/5A\nZ9CD6LbIEEcrKJp6+YdHZrxwe0lRzXOfHfU63phYzsTjXEqMwdlieMngfXWrZh8no7+8EqhE\nOIwMFCrIxTTD+J+7EP3PMS3DAsjlyXUU19Wk0VOcy1xnNcUDcI7voadsVpRVckQujAYAX8gL\nifW/lbdM3FK0fSfJaJXyZfGQGKszNo8iZkaHyN7/Nbembunw2AgP12xe1BN//WR3qeKq8rN5\nWQMjE9q3ycQtQwJ0m4TGBVwQO6UO0/q6uLhfKjYI+XmDE3U0F1wB8ipRqkRiIABwaL5a63a5\nhKXpqhB/zr8Xe+fl+pmUlKmpY1NPC8tpcRHHyfr6Wsr+G8FlGQB8EW/hJ/c5uZFk0D2Xe4zp\n0gEOGufS5dbUp5XVAJDwuJumj5oQ1uJ2DSIeJ+3JeymTMTqsD+UVX3l0c7SHvKxeU6O1ma9J\nN/sDQHQjJEC3VYXawFJUSUx4SUw4lBqY8xmJeHCTQK2HiQGHdikp779pN1enB2AU8DgGE8XY\nrxbTwKanTFFw5ZgC1FUFPGcl1Zg8gQt29rSYyXMGhsT6yz3ISrCeTMmK5/5xaNGAXoHO4hMl\nVUv3N2ZBUhmM7uJWtuuOdRWj3zOouYCL2/5IOTXYz+N/aRft6qz6fc26pV9waAd5pYmujwTo\ntgpjdLTJxHAc/aBfXQsevf+YOToD4Orsk+MAYEH5merj9eU68C7xnCs44gfnxPFoquLcJbcT\nZ/O48lpaJGINYUaFq8g/cXRUh90N0VWczc/663y+C49akNgr3MVpTp/g3XmlLkKet1RcqFT1\n9XalKApg7cY3muRsgLpKZzTFeMq3ZDvYjWXDwW2j4oc8fufcjr0NomOQAN1WilMXY/amZI0Z\nYuJx7bZNaWRiREpH26xY0VDcYKPyMtc5m+vGUBQFbPv5ZC0tZIDRoKIMTQ8D40aS7JH/CR7O\nrg/Ehf04pTHp6ABft6H+xa8eSFXpTZN6+V+dAt/yRPiGcgACLueJfhHJJTYPk2mKYlgWwL8Z\np0iA7qbI+FRb8QRc/3M5Y75cN+L7TaFnz9uca9Dhx+P46tBRrn8lx/Em3L0TgwIjfEQwNtD8\nLJ47Q1EAWKCKFvUy1DCgUvmelEgEgMOlpz49LmnagI6/J6LzRQaEvzA0zrrkzl7+Zx+966Px\n/XbnlbT9OjRFvTA42jp5KedqVPdz93b8nltr2bJlFEW9+OKL1/Wu9957j6Kop556qhPb0IlI\nD7qtBozvI3ESquq00ipF7+MpLIe+nBjF8LjQm7DxFNQGAFoTlcr3GaktFLJGBhR9dV6UmuYn\n3BZt0BqKLpYpKPuBRRoMD6YaWnSxd8DBn+6SeziJZSST738FRVF9/Hyht//fa6i/Z/N0d8C1\nRjvivVxUL99XVKf69Vx+8pXqzdmFAFykzk9OJulquysSoNuKw6Utk0wpExN56GTIkZTMEYMq\nBDJW3TTcbAKVHttHrKwvrzC4Mjo5o9FQPBXN2/jR3+YKArrpt44LNtSg8DGpZIwhi+dWIhV5\nhXhwyMLu/xSWod2iUepg20kehwZFq/W6A5fKJ/W6OtWSAsOyA9bu+GnKiBgPZ7u3UECgk+Sp\nAZEBn23icbkLJs55dfbT/h4+HX0TRAchQxxt0lCrXnz7h2rbXKMCxtj30L/R/5ywq6wsVhcl\nJeo9Xco4kmyeexVXGqVvGhx0Z9VOjPlBIttXXxpmVPBYkwujGaK7QoW6XKy2z2lH9GRXTuDY\nCofRuRFP8uSxynt/P3jgUpm5gGHZ/6Xlnimt+S2zoKU3Sfm8of4eBqNx7d+/kml23RrpQbfJ\nj29uLsopsytU0oJMnoeOoinrNV6AUWv0O3Zx194H9FWq2qqGD+7+QAeOluIKWSMAmmUNFOXG\naGSMzs3UtNUVDcb/Yr6XlGyB8Z9Rdxm521o6eba8ZvJv/wwO8N6cXWQwMWN+2TPE3zPOUz4m\n1Pv2cL8Id+f3j53zdxI/ktibdjTLQ29iABiMxiXfrfx5yecdfStEByF/Xdvk/EnrPM4sAAbU\nGb63khYAlI+pns/a7G1RcqW+NK+6b5xXbJxPqjTwoDDogDDohMBXR3GLOU48lqmmRb5G+zwJ\ncRLaRUj+ZP5nKHIdFl9SNszdcnTA2h2FdeqNmflGxgCAZcGl8Mn4AdMig/1l4q8mDhJyuI/v\nOBG++s/NOUXNorPpWHFjpoH0/PPNP6KLYFl248aNd955p7e3N5/Pl8vlgwcP/uyzz4y2OUbM\nTp8+PW7cOKlU6urqetdddx07dqx5nczMzLlz5/r5+fH5fD8/v3nz5l24cKHj76MDkQDdJq4+\ncqtXFIB8rlxLcV0Y7UhdYby+IsRYa/eWpfuKGBbPLdtfYWyMuQpadELge47vUUcLACi41vM9\nWACLHrff4JnoybiOHwWvOpb1y7l8w9XVp5YnH2+NSjTnUapS66b9cahebwBQUNsw58/DlgR4\nZiawakNjjBsS3a9jWn+zWJadNWvWzJkzd+zYIRKJoqOjKYo6efLkc889N2+e/VPNkydPDh8+\n/NChQ+Hh4Vwud/v27cOHD//xxx+t62zatKlv376//PJLbW1tVFSUTqf76aefEhMTd+/efQtv\nq52RAN0m056dYFdizqHR21DNYVkAHoyatk5UIxWkNJiefH3/1r8vNn+X2UWuq4Hb+JKi6EmP\njhp0u810K6KHc+8Dmte8mLUZMAOAsXED+BzassfVseIK6x1jtUaT3UZZPJoT5CwFQFP0Z0++\n1c7NbicbN27cuHGjm5vbqVOnCgoK0tLSqqqqVq1aBeDXX38tKLAZYT99+nRCQkJ+fn5aWlpp\naemKFStYln3iiScuX75srnDhwoW5c+fq9fo333yztrb27Nmz5eXlH374oUajmTVrVlmZ/fhk\nd0ECdJvEjYxY/rvNTExvUwMACdvYT5Ex+kR9mYzRcyjw3ES4LQq/p3z99Wm1xsF6QgA0y8bq\nK3hGAwCvEI/Pj7y68KM5HXwTRBcjcEKI/R9+ANOigqxf9gsI2HPfWPXS+/ydGrM/i7j266Qk\nPJuRMS5FPTcoCsDwPgMFPD66pL1791IUtWzZsv79+5tLOBzOokWLevXqBeD8eZuRGalUumXL\nFn9/f3O1ZcuW3X333RqN5uuvvzZX+OCDDzQazYMPPvj666/zeDxztRdffHHOnDm1tbVffvnl\nLb239kMCdFsNmNAnOMbP8tKTUd831M0gFFqXDNcVjVfn3VZ2Xnb+MrQOQnOUoXqCJn+s9lJ/\nfamPqXEMuryg8v8Wre/o9hNdke9guPa2Kxsd7L1u6ohYD7mnRDg9KmjzA5OphisAtuQUKbR6\nAEMDPIPkTTsQugj5UyIC7C4S7CwBoNFq0FV99913arX6ySeftC5kGMbDwwOAVmszY2ry5Mne\n3jbLbebPnw/AMnyxY8cOAA888IDdp8ycOdO6WrdDHkm1FUVRy359YvWzv5w7coFhWJZla/Yn\nSwFQFFib/0lpo8mrtKweNgtSvI0N/kydh0kDgGZNbqzNb072qXydWi8Qd9HODtFRKBqx85C3\nEyX/WhfPiQ2ZE3t1O0E+xZoEd/+6c/uFYjGPOzzA84G4sD+nJX104vzZippers5vjIzzltqv\nX3UW8gBcqam4Jbdxg4RCYUNDw+HDh3NycnJzczMzM0+fPq1QKAAwtlnG4uPj7d4bGxsLICcn\nB4BCoTAPYrzwwgt8vs0vkVqtBnDxon0Oqe6CBOjr4Bvq+cAbU18a/z5rlT4ULKuViYX1auua\nrooa8JpWB/BZ05RYcWFqeUtXFkkEfKGD4UjiP4BC2CS4R+HcD2AczF6Avk5rNB0oKAOgNhi9\npaL7+oQAWDd1xDUuOjrYx99J3JV3s2QYZuXKlR9//HFtbeMTTqFQOGzYsNzcXMvIsoVUap9x\n11xijr91dY27hqampjr8LKVS2Y4tv5XIEMd1qCyqefXOj00G+wW4PK1eJXeuoUXlHIk5777c\npHFlGvvIPJiSOFWFqS0uKwAw+fHbKLrr/i4RHc45FD6DWjop4nIm924cxJhuO0J9DRFuzlpD\n11339PLLL7/++utqtfrpp59et27d2bNn6+rq9u3bFxTk4AZVKpVdiTkoOzs7AxCLG0fnFQoF\n6wjTLOtvd0F60Nfhr28OaFQ2P/Hm9QENMtkJkR+j0wDggE3QlXky6kG6UiXNN1CcEDd+fYXj\nreEoGkMmJQ6elDBm9uBbcQNEVxZ6O/hSVGVCr4JOYXfSRyYa5Of+2oi4kUFebbze+apaHt+p\n9XqdQaPRrF69GsDGjRunTJlifcrhjIvmYxRnz54FEB0dDcDd3V0ul9fW1qampo4ePdq6WmVl\nZU5OTlhYmI9Pt1zvTnrQbZV9Kn/Hd4fsCimABZWqljE1jf1lE6hzfE/zGWdW7w5dXaX9FGk9\nxSngyQG4esmX/frE2PuGkO4zAYqDgCQkPolBL8HNPhX41MjAfXPHTerlL+M7Ggqzn5iHVw6c\nuVKvuWf4HR3T1ptVVlam0WgADB8+3Lo8NTXVvLTEbq3K1q1b6+tt8kl98803ACZNmgSAoqjx\n48cDMM/Ss7Z8+fIRI0Y8/PDD7X8PtwQJ0G1iMjIr71+jadA2P0WBZWy/jHqKozNvMMiyMJmo\nZr88WTz3Ao4cwOyX7+ygBhPdm8Q+QejwAE8pz1FopjmgeHYrCf/ILvomveTJyfPef+SVDmvi\nTfHx8TGPS6xZs8ZSeOrUqXvvvdd8bDeLo6KiYtasWebRaqPRuGTJkr1793p4eDz22GPmCkuW\nLOFyuTt37nzttdf0ej0AhmHWrFnz1VdfAXjuueduyW21vx4VoA0Gw4cffhgZGSkSicLDw1eu\nXOlwzegNKL5YVn3FviNsIWJtZtRxwAjYFj+XBUWzjIlLh62YO/Ghke3SPKKn8RkETltSzlJg\nTGDtJ3ROiwqp2nTuy6dXigWOs5N3OqFQuGTJEgDLli2LjIycOHFibGzswIEDy8rKBg0aBKCo\nyGZ3mDvvvHPXrl3+/v4DBgzw9fX94IMPJBKJeZ2LuULfvn3XrFnD4XDefvttLy+vAQMG+Pn5\nPfHEEyzLrly5cty47pripkcF6AULFixevNjT03PhwoVubm7Lli27//772+XKMhfJNc6KWaN5\nj1ezSEPNNSpTYGONVYJAl9V1grWple3SPKKnEThhwPMQubZWr9l/Z43FRii6+sSy119//bff\nfhs0aFBFRcU///yjVqsfeuih1NTUN954A8Cff/5pXXnChAl79+6Nj4/PzMxkGGbmzJkpKSmj\nRo2yrrNgwYLk5OQ5c+aIxeK0tDStVjtu3LitW7e+8koX/TeiLSiWbeF73N3s3bt3/Pjxc+fO\n/emnnwAwDDNnzpwNGzbs3r3bPD7VkpSUlP79+y9cuND81KIlK+9b8++2M83LtRT3DN+7n76s\njCMxgPYwaZxZByMhdjJHDynsH3NPlMum6b1arUz8R518H7obnR/mOxjhk9u1NUQn6Dk9aHN4\nXb58ufklTdPvv/8+gG+//bZdrv/SdwseWnGvX7j9M3QhaxykKxGwxiCjMtyoaEt0BmCQiADI\n+GSvZaIlLIxt+llyTHutf+OI7qLnBOgjR44EBQWFhoZaSswvDx482C7X54t4056b8G3qiq9O\nvjFzkc3DcU5L/2m2QOMsqwz1B7Ag0aNd2kb0RBRcwq/3PZeVDT+l523JLtQyZN1TT9BD5kHX\n1NQoFIq+ffvalYeEhOzfv1+hULi4uLTXZwVF+4Uk2K8JbHmjONtqFKX09kgf3N94pX7Ts/1H\nBMraq1VEDxQ+BbV5be9H/5F1ee7Wo1qjCUCvwzn/fnm7h7NbR7aP6HA9JEBXV1cDkMvlduXm\nhUZKpdI6QFdWVi5cuNDy0rz2v+0ysisfWnbYLsNNG6cxG0AXVkG1K0cq4d3z/cTr+lziP4cv\nReQsZPzQlrosiyf/PmmOzgAulpe+u371x4+/0YHNIzpeDwnQBoMBgEBgv2G2ucRuTqVarf79\n999v+LOeXLwnr0In40gt6ejsXKM3raO4JVwpgPGjQ1qoQhBWXHuj79OoTIe6HNXZ16hYqdZU\nqm1+zjMKsjq4cUSH6yEBWiQSATBPULem0+kASCQ2k+T8/Pzy8pq2sMrIyLBbbHptKWfLAVTS\n4pYC9DV60zJGF2Csr5S4Ln1mSNs/kfhPk/pA6gMA1Vm4sBkG+6wUZh5ikatIYJ3IP8LD/dY0\nkOg4PSRAm0cwmuesMpeYBzosuFyu9bPE6x3iCPR3qswuDjDVsRSarxJsVayhcszsvv0T7JeK\nEUQr3KLRPxB5O1BxtvlJisIn4/s/sv24ebtYfyfx0qntswiA6EQ9JEDL5XJPT0+7bXIAFBQU\n+Pr6Ojm1Z8qYZ6b33vr6Kfom5o8f/t/+p9+czBeR5+zEdeJJETEdlelw9OP3QFxYPx+3fwrK\nnIW8exLipcFddDdCou16zjS74cOH5+bmlpSUWEoKCwvz8/OHDh3avh908pudjqPz1aENFmAp\n+uqhAwadsfQSWUNI3BCKvsYq8N6uTguH9HlgzFRpv8fBIfs/dHs9J0CbdwJ+5ZVXzGsjWZZd\nunQpAEs6lXbx1NAVFUUtLAG4Go0pgGpc+e14OJov4vmEkBnQxI1qOXM0j0On1osQNasNy8SJ\nbqCHDHEAmDx58pQpU3766ae8vLzhw4cfOXLk2LFj999//9ixY9vrI/b+ciz/XFHr9aywoNQU\nV8CauGhM1kFR1BMfzib7pxA3Lngs+FJUZ6LWwS4Q+WWFZGijx+g5PWgAGzZseO2110pKSj79\n9NOqqqp33nln7dq17Xj9nWvt80FfWxVHdEAYdFgYuE8UksNrXDJw77PjJ8wbfu03EsS1UDT8\nhiLuEcj87M5cqm0I9QnslEYRHaFHBWiBQPDWW28VFBRotdqcnJylS5fa7SB5k0zGxl6wZWiZ\nAkXRjr+GJlBpfG9zYmgWyOfKi7myYon7pKcntGOTiP+0mAdAN/0rVqc3/JKe22/gtE5sEdG+\nelSA7mgj7ulvPrAMLbNg2Ra2O6un+QbbL28ZLc1gnJJTHezoQxA3gi/DCe3THwAAIABJREFU\n4JfhO6ie4ecoVJUm8bJH37mBDB5El9VzxqBvgXufGZdzquDYXw6SjjbHZ+0Dt5zRilijTEqe\nrRPthytC+BRZ+JSIzm4I0RFID/o60Bx62a+Pu3i2aVa1mDV6Mk2Lvngw+ZvqvVj1kAH244YE\nQRAOkQB93Z767H66hXFnW2yivjzSUO1tUgUblcO0JULWGBMkFZAc0ARBtA0J0NfNv7c3C8fj\nznZolg0x1ibqy6IMVeZ9C19aM6+DW0cQRJOUlJRHHnkkMjJSLBY7OzuPGDFi7dq1jNVzo1Wr\nVlFWaJqWSCTh4eEPP/xwVta1sk29+OKLFEWdOHGiQ9tPxqCv29lD2c2Gl6+i7BYPNiW2E0kF\nT6yaHT2YPMAhiFuBYZjXXnvt3XffZVk2MjJy1KhRCoUiOTn56NGjW7Zs2bx5M5fbFP3CwsL8\n/f3N72poaLhw4cLatWvXrVu3YcOGyZMd7ByWnJz86aef3oK7ID3o6yaWNV9o2xiVhWK7fKcU\nAD6f+9h7MzaVfjH2vnZedE4QREveeuutd955Jzo6Ojk5+fz58zt37jx+/Hhubu6QIUO2b9/+\n3HPPWVd+6qmnDh48ePDgwcOHD585c6a2tvbdd9/V6XSzZ8++eNF++129Xr9gwQKTyXQL7oIE\n6Os2YEIfN1+7nQEau8lala55/ekv3TFlYbutZiQIolXnz59fuXKlp6fngQMHBgwYYCkPCAjY\nvn27s7Pzt99+W1pa2tLbuVzuyy+/vGTJErVa/fbbb9udXblyZXZ29rW3om4vJEBfN5mL5MPd\nL7l62+/e0pKgSJ8ObQ9BdHflKsPnyeXv/Vt6tlzdLhf8+eefjUbjCy+84OFhn/TG1dV11apV\nb7/9NttaQspXX31VLBZv2rTJaDRaCtPT0999990XX3wxMTGxXZp6bSRA3wjvYI+3Nj1NtZiZ\nv+kb33dM9NC7bsU3kiC6qewqbeSX6c/uurx0f1HC1xnrzlXf/DV37doFYNKkSQ7PPvzwwy+9\n9JKvr++1LyKVSgcNGqRSqdLS0swlJpPpoYceCg4OfuONW7SXGAnQN0ju6dTyH2Bz5GbnvjZl\nxZ/P0hzyRSaIFr19pKRW2zSeu3jf9eUjc6i4uBhARMTNLt8JCgoCYBkMWbVq1ZkzZ7799luh\nsMWMr+2LxI4bJJIKqFa2iqU4HJqi27idLEH8R+UrbJ7cXKnXqw1tmsZ6DUqlks/n83g3mzPS\nvKlpXV0dgAsXLixfvvzRRx9NSkq6ycu2HQnQN0gkFfqEtpLT2SuIbApHEK2I9xJbv4xwE4p5\nNxuX3Nzc9Hq9RqO5yevU19cDkEqlLMsuWLDAzc3tgw8+uMlrXhcSoG/cij+ftZpyZz/eIZIK\nh00mo88E0Yo3R/lFujf+HsmFnDWTgm/+muZNR7OzHe+DXlpaeu1FKBbmOXbBwcFffvnl0aNH\n/+///q99989r1U0F6MLCwjfffHPatGnTp09fsWJF8y0BzRoaGkaNGjVq1Kib+awuyCfM4+cL\nH7zw1XyZi6T55ikJoyO5fLIOiCBa4SnhnX2sz577IzbP6JX3dPyo4HaIgLfffjuAnTt3Ojz7\nySefxMTEvPnmm9e+SHV19dmzZ2UyWUxMzB9//AFgypQpljWH77//PoAhQ4ZQFNXSX4Kbd+MR\n5Ndff12wYIFWqzW//OOPP956660XX3xxxYoV1kt0ABiNxkOHri/VfXchkgrH3j80YkDIa3d/\nVlFs3gqrcfXg6Bkt7ktEEIQ1PocaF+rcjhecM2fOihUrPv7448cee8zd3Wak8cqVKz/88AOA\ne+6559oXWbVqlV6vnzt3LpfLTUpKsrtORkZGTk7O6NGjXV1dO7Bbzd6QkydPmqPwqFGj3nvv\nvddff71fv8Z9dkaNGqVUKq0rKxSKm/msjnb69GkACxcuvMnrFGQUPZu08h7vpx+MXbr924Pt\n0jaCIG7M4sWLAURFRZ05c8ZSeO7cOfP85Xnz5plLPvzwQwCffPKJ9Xt1Ot0nn3zC4XCkUuml\nS5ccXn/JkiUAjh8/3mF3wLIse4NB0/zH56WXXrIuXL9+vbOzM4CBAwdax+j/SIAmCKLrMBgM\n5o2kAcTGxt5xxx1xcXEcDgfAuHHjVCqVuZo5QIeFhSUlJSUlJY0cOTIxMVEsFgMQCoV//fVX\nS9e/NQH6Boc4jhw5IpFI7BZBzpo1KzY2dsKECcnJyXfccceePXvM90kQBHGLcbnc77//ftas\nWWvWrDl37tz+/fsFAsGwYcPmz58/b948u4zBeXl5eXl55mORSBQUFDR69Ojnn3++V69endH2\nJhTb2npHh3g8XmRk5Llz55qfunDhwqhRo0pLS2+//fZt27bxeLza2loXFxcAN/ZZHS0lJaV/\n//4LFy5cvXp1Z7eFIAiiyQ3O4nBxcbl8+TLjaDu+3r177969Wy6X79q1a968eQ7rEARBEK26\nwQA9fPjw+vr6jz76yOHZPn36bN++XSQSrV+/fv78+ZaZHgRBEETb3WCAXrRoEU3TixcvnjVr\n1saNG8vLy+0qDBs2bNOmTUKh8Oeffx4xYsRNt5MgCOI/5wYD9LBhw1avXs3hcDZs2DBz5syj\nR482rzNx4sTdu3e7u7vn5ubeXCMJgiD+i258JeETTzyRkZHx7LPPJiYmhoSEOKwzcuTIzMzM\nBQsWmHOOEARBEG13U0u9IyMjP/300zNnzvTt27elOp6ent99911ZWdn+/fsthQUFBQ473QRB\nEITFLUqWJJfLb7vtNsvLzz77jAxMEwRBXBvJZkcQBNFFkQBNEESPlZKS8sgjj0RGRorFYmdn\n5xEjRqxdu9Z6ccaqVasoKzRNSySS8PDwhx9+uHlK0vr6+uef///27jugqav/H/i5kAQSwTAk\nRSpDREGG1oWDoSJuqDhaLQ60am0drVXrKjhaedCfuNHagqPFiVVspc46UOtAEQcRRQQZAhaQ\noTJD8vvjfp88ERBBbnKv4f36i3vuybmfFH33esc531pZWQkEAktLyzlz5hQVFam1fgQ0AGgh\nuVz+/fff9+jRIyIigqKofv36OTo6xsXFTZs2bcSIEarrwBKVuTjc3d3t7e1zc3N37NjRrVu3\nP//8U9mnqqpqwIABGzdutLGx+eabb+zs7MLCwjw9PUtLmVnotm5qnenjTb755hu2Dl0bJksC\n0D70uq5OTk5xcXHKxoyMjN69e6v+fa9zNruqqqqQkBCKokQiUXJyMt1IT1L6xRdfKLvNmTOH\nELJp0yb1fQucQQOAtklKSgoODpZIJOfPn+/Ro4ey3dLSMiYmRiwWh4eHK5eCrY3H4y1evHjR\nokWlpaXKKeFu3LhBCJkwYYKyGz1bXkJCgrq+Bi5xAADrnuW92hwev3rztTvSfxkZMDIyUiaT\nzZs3z8ys5sKhJiYmoaGhq1atUrxt7rbvv/9eJBIdPnyYvh5iYmJCCFG9MJ2cnEwI+fDDDxmp\nuU5YkwkA2PTgUUHvYZFFxRWEkCWrYvds8x0/xrGJY548eZIQMnz48Dr3Tps2rSGDGBgY9OzZ\n8/z587dv3+7evfv48ePXrVu3ePFiXV1dV1fXhISEBQsWWFhYzJw5s4nV1gNn0ADAplUbrtDp\nTFv4w/mmj5mVlUUIsbe3b+I41tbWhBD6Yoi9vf2FCxdMTEymT5/euXPnyZMnCwSCixcvWlhY\nNL3gN0FAAwCbUp8Uq25m574sLatq4pjFxcUCgYDP5zdxHHqOipKSEkJIUVFRYGDg06dP582b\nt2vXrnnz5hUUFHh6ej58+LCJR6kHLnEAAJs6O0mu3nyq3LS3MxEJmxqspqamOTk5ZWVlQqGw\nKeO8ePGCEGJgYEAImTZt2unTp0+fPj1w4EB6r5+fX79+/SZNmnT9+vUmFvwmOIMGADatXOTu\n0N6U/tlIrLd97eCmj2lra0sIefDgQZ17c3Jyar+EUqdHjx4RQmxsbF68eHHkyJGePXsq05kQ\n4uHhMXDgwLi4uPT09KbXXCcENACwSdJKdOf8lNOHxkb/Oupx3Jf93KyaPuaQIUMIIcePH69z\n74YNG5ycnFauXFn/IAUFBXfu3DE0NHRycsrKylIoFDY2NjX60BN51vPEXhOpK6Crquq7ijRx\n4sTIyEg1HRoA3i8Cge7AvjZ+Q9ubGOszMqC/v79AIFi/fn1+fn6NXdnZ2fQrJ6NGjap/kNDQ\n0MrKyk8//ZTH40kkEoqipFJpjT5JSUlEnU/aMRnQWVlZCxcudHFxEYlEAoFALBb36tUrJCSk\n9uvq3bp1U33eGwCAQba2tnPnzn3+/Lmnp6fqiySJiYk+Pj55eXkBAQEuLi5v+nhlZeXGjRvX\nrl1rYGAQFBRECDE1NfXy8kpMTIyIiFB2i4qKio2NdXd3t7S0VNc3YeqVxL1794pEojoPIZFI\nzp07x9SBGIdXvQG0T1VVFf2mHyHE2dl52LBhnTp10tXVJYQMHDjw1atXdDf6VW/lXByenp5d\nunSho0xfX//YsWPKAZOTkyUSCSFk8ODBCxcu9PHxoSiqVatWDx48UN+3YCag//nnH11dXYqi\n/P39T5w4kZ6enp+f//jx4+joaPpZ8ZYtWypfaecaBDSAVpLL5SdOnBgxYoStra2enl7Lli09\nPT137txZXV2t7EMHtCqhUOjg4PDVV1/VjqzMzMxp06ZZWFjweLzWrVtPmTIlPT1drV+BmYAe\nNmwYIeTnn3+uc29gYCAhZPLkyYwci3EIaADgJmauQcfFxTk5OX3xxRd17l2xYoWZmdmZM2cY\nORYAQDPBTECXlZXVcx9TV1fXysrq+fPnjBwLAKCZYCage/TocfXq1dpPtNAKCwuTkpLqWVgW\nAABqYyagV61aVV5e7ufnl5ubW2NXSUmJv79/RUXFDz/8wMixAACaCWbm4rh3796oUaMOHjxo\nZ2fn6+vbpUsXsVhcWlp6//79o0eP5ufn29vbR0VFRUVFqX5q+/btjBwdAEArUYq3zVrdoFEo\n6h0+xcihmy4+Pr579+6zZs0KCwtjuxYAgP9h5gw6JCSEkXEAAECJmYBevHgxI+MAAIASZrMD\nAK0VHx8/ffp0BwcHkUgkFos9PDx27Nghl8uVHQIDAymKoihqxYoVdY7w9ddf0x1SUlLoltDQ\nUOp1fD7f1NS0X79++/btY7Z+JifsT01NffDgQXl5uer3l8lk5eXlmZmZR44cUevytwAASnK5\nPCgoKCQkRKFQODg49OvXr7CwMC4u7vLly0ePHo2OjubxXku/6Ojo2hmtUCiOHDlS5/jt2rVr\n06YN/XN1dXVBQUFsbGxsbGxKSsqyZcsY+xqMvI9YWVk5btw4zRyLcXjVG0D7LF++nBDi5OQU\nFxenbMzIyOjdu7fq3/fvv/+eEGJubk4ISUlJqTHIP//8Q/67osqjR4/oRnr6jg0bNtTofPr0\naXqdrezsbKa+BTOXODZv3nzgwAFCSPv27fv06UMIsbGx8fT07NChA92hZ8+ef/31FyPHAgCo\nX1JSUnBwsEQiOX/+fI8ePZTtlpaWMTExYrE4PDxcdZZ9Pz8/Qkh0dHSNcX7//XdDQ8O+ffs2\n5KADBw4cNWpUVVUVg9NaMBPQdDqHhoYmJydfunTJyMjIzs4uNjb24cOH8fHxNjY29+7ds7Oz\nY+RYAKBtKl+Sp1dIZix5xczSJJGRkTKZbN68eWZmZjV2mZiYhIaGrlq1SqHymK+Xl5exsXHt\ngD5y5Iivr6++fkOXEaCX2iooKGhC7a9hJqAfPnxoZGQ0d+5cQoiOjk737t0vX74sk8kIIV27\ndt2/f39paem6desYORYAaJXSPHJzPXkcQ9JOkfgt5N/bTR/y5MmThBB6ruPapk2b9t1331lY\nWChb+Hy+r6/v1atXVd+Fphcb/OSTTxp+3MTERMLoAiuMTZZkbW1NT4ZNCHFyciovL6cXgyGE\n9OrVy9HR8dy5c4wcCwC0SsZ5Iiv/32bqyaYPmZWVRQixt7dv+EdGjx6tUCiOHj2qbKGvb9DL\nGzbE3r17jx07ZmBgMGjQoEZVWw9mnuIwMTEpKSlRbtJXMxITE5WLylhaWsbGxjJyLADQKuWv\nz3NZWULkVUSH35Qhi4uL6ft1Df/IoEGDDAwMoqOjv/zyS7rl8OHD9VzfCAsLU6a5TCZLS0vL\nzs6mKGrjxo1GRkZNKV4VM2fQXbt2TUtLUz5F5+DgQAi5evWqskNaWppQKGTkWACgVVq0fm1T\n2KqJ6UwIMTU1raysLCsra/hH9PX1hw8ffv78eXoN1Vu3bqWmptZzfePx48ex/0U/KDJixIjT\np09PnTq1icWrYiagJ02aRAgZNGjQxo0bKysre/XqJRaLf/nllz/++CM/P//HH39MTk5u1D83\nAKC5sBlARP+9lcfTJ+39mj4kfbPuwYMHde7Nycm5f/9+7fbRo0dXVVXFxMQQQn7//XcDA4N6\nrm+oPmZXWVmZnZ199OhRb2/vphevipmAHjt27CeffJKfnz9v3jy5XG5gYPDNN99UVFT4+fmZ\nmZnRj21/++23jBwLALQK34B0+5q4fE6cJhDX74iRbdOHpIP1+PHjde7dsGGDk5PTypUra7QP\nGzZMKBTSz3LUf31DY5gJaB0dnYMHDx44cODzzz+nv9KyZcvmz59PX9YQiUQrV6789NNPGTkW\nAGgbSpcY2xFTR8Jj5kKov7+/QCBYv3597VVEsrOzd+/eTQgZNWpUjV0tWrQYPHjwyZMnb9y4\nkZyc3KjnN9SEsbk4KIoaO3ZsREQEvamrqxsaGlpQUJCamlpQUMDku48AAPWytbWdO3fu8+fP\nPT09VWeYSExM9PHxycvLCwgIUD7CoGr06NGlpaVff/11/dc3NIbJuThqEwqFbdu2VeshAABq\nCw4Ofvbs2a+//tq1a1dnZ2crK6usrCypVFpdXT1w4MBt27bV+SlfX1+BQHDt2rVx48Zx4bkG\nxs6gz5075+fnZ2tra2Zm1uoNmDoWAED9eDzerl27Tpw4MWLEiNLS0rNnzz558sTNzW3nzp0n\nT54UiUR1fkosFg8YMIAQwoXrG4SpFVWio6Ppx7zr78bIsRiHFVUAgJuYucTxww8/KBQKb2/v\nZcuWffjhhwKBgJFhAQCaM2YC+v79+3p6eocOHWLwFRoAgGaOmYAWi8UymQzpDADAIGZuEn78\n8ceFhYW3bt1iZDQAACBMBXRISIiNjc348ePv3bvHyIAAAMDMJQ4zM7PDhw+7u7t36tTJ2tpa\nIpHo6NQR/deuXWPkcAAAzQEzAX3jxg0vLy967qj09PT09HRGhgUAaM6YCehFixa9fPnSzs5u\n5syZtra2enp6jAwLANCcMRPQN2/epCjq/PnzynXIAQDYEhYWNmfOnDftFYvF9KTP3MdMQOvq\n6pqZmSGdAYA7bGxsrK2ta7cbGBhovph3w0xAe3h4xMTEpKen1/mfAwBA86ZOnRoYGMh2FU3C\nzGN2wcHBQqFw4sSJqmviAgBAUzBzBh0fHz9lypStW7e2bdvW1dXV0tKyRYsWFEXV6LZ9+3ZG\nDgcA2qQ073ly9JmqsnKbAX3MnNtr7Lg+Pj6JiYm//fbblClTcnJyfH19nZ2dly1bFh4ePm3a\nNGW39PT0tm3b+vv779mzR2O10ZgJ6ClTptA/lJeXX7x48U3dENAAUMPzR08ODplWUfyCEPLP\nj9uGbF/pMEZzM+WXlJSMHDmyffv27dq1s7e3nzhx4vLly/ft26ca0Hv37lUoFBMnTtRYVUrM\nBHRISAgj4wBAcxO3bhedzrRLK7YwFdA7duz4+++/a7d/9913w4cPp38uLCycNGnSr7/+qtzr\n4eERGxubnZ1tYWFBt+zdu9fc3JzxBWEbgpmAXrx4MSPjAEBzU5z+VHXzVW6+rKycJ2RgtdYn\nT548efKkdvuECRNUNz///HPVzYCAgIsXLx48eJBe5zohIeH+/fvz5s3T1dVtekmNxdiKKgAA\n78DM6bWLzsZ21oykMyHkxx9/VNRF9fIFIcTOzk5185NPPhEKhfv27aM39+7dSwhh5foGYeoM\nOiYmpiHdfHx8GDkcAGiNXou/yPrn1vNHTwghemLDAes0/c/xFi1aqG4aGhr6+fnt37//0aNH\n7dq1279/v7Oz80cffaThqmjMBLSvr29DunFzySsAYJGolfH42D1PryRUlZZ92LuLvnFLtisi\nAQEB+/fvP3TokLu7e3Z29ty5c9mqhJmA7tu3b+3GV69eZWVl5ebm6ujoTJ061cTEhJFj1ePb\nb7/duHFjjcaxY8ceOHBA3YcGgHemK+Bb9XNlu4r/8fb2trCwOHbsWFFRkY6Ojr+/P1uVMBPQ\nFy5ceNOuK1eufPbZZxcuXIiLi2PkWPW4e/cun8/39PRUbXRxcVH3cQFAm+jq6vr7+69fv/7p\n06deXl4ffvghW5UwE9D16NOnz969ez08PJYtW7Z582a1HuvevXudO3eu88EaAGhu3vSYHSFk\n3bp13bp1q+ezAQEBoaGhmZmZq1atUk91DaL2gCaEuLu7SySS6OhotQZ0bm5uXl5eA6+GA4DW\ne9NjdoSQwsLC+j/r7OzcsWPH9PT0UaNGMV9Zg2noMbvq6uq8vDy1HoJebatz585qPQoAcN/s\n2bPrfMBOiX7rJCYmRqFQ1LnadXFxcVpa2qhRo9id+k4TAR0REVFQUGBra6vWo9y9e5cQUlJS\nMnjwYGNjYxMTkzFjxjx8+FCtBwUArbRmzZry8vLp06ezWwYzlzgWLFhQu1GhUJSXl0ulUnp2\njkmTJjFyrDehz6CDgoLc3NyGDh16+/btw4cP//333xcuXKjxDKNcLi8uLlZulpSUqLUwAHiP\neHp6Pn36NDU11cvLq8YTB5rHTECvW7eu/g5+fn70e5PqU1RUJBKJoqKi6LfsFQrFjz/+uHz5\n8smTJ9++fVu1Z2Zmpo2NjVqLAYD3lImJyc2bNwcOHBgZGcl2LYRi5OWRN82KzePxWrVq1bt3\n7/pvmDJFoVCoznGqUCg6deqUmJiYmJjo5OSkbM/Ly5s1a5Zys7Cw8O+//541a1ZYWJgGigQA\naCBmzqA1+SRKTExMjbmZbt26JRAICCE1ZqCmKMrV1TUxMTEtLU01oM3MzKKiopSb8fHx3bt3\nV3PVAACNponH7JhVVFQklUpVW+RyuUwmS05OVigUqkFMCKmqqiKECIVCjZYIAMCE9282uwkT\nJtR4YkZfX//FixfOzs5Dhw5V7VldXX39+nUej8fWRCcAAE3x/gV0nYyNjb28vDIzM7du3aps\nDAkJSU5O9vf3NzU1ZbE2AIB3oyUBTQjZsmWLsbHx7Nmzhw8fvmDBAk9Pz6CgoI4dO65fv57t\n0gBAoyIiIiiKWrFiRe1dRUVFFEU5OzurNh4/ftzPz8/c3FwgEJibmw8fPvzQoUN1jhwfHz99\n+nQHBweRSCQWiz08PHbs2CGXy9XxLYg2BXTHjh3j4+MnTZoUHx+/efPmjIyM+fPnX716FafP\nAFCPRYsWDR8+/M8//xSLxT179hSLxSdPnvz000/pq6nKbnK5/Pvvv+/Rowed/v369XN0dIyL\ni5s2bdqIESNkMplaiqv/hcjm4ObNm4SQWbNmsV0IADAjPDycELJ8+fLau+hZOJycnOjN+Ph4\nQki7du0SExOVfaRSqYODAyEkMjJS2bh8+XL6g3FxccrGjIyM3r17qy9AtOcMGgCgsU6ePEkI\nWbFiheoDYI6Ojr/88gv573pXhJCkpKTg4GCJRHL+/PkePXooe1paWsbExIjF4vDw8JycHMbL\ne/8eswMALfOsMO/ghWOlFWVDXft3tnXUfAG1J7fr06fPmjVrlDMIRUZGymSyefPmmZmZ1ehp\nYmISGhpaWFioUMOKUQhoAGDTg8yU3l9/XPSyhBCyZEfInsVbxg8YqbGj+/r6BgUFLV26tLy8\nfPz48RYWFnS7rq7uwoULld3oE216GonaaqxCyyAENACwadXeTXQ60xaGr2IqoHfv3l17saca\nd/NcXFy2b98+Z86chQsXLly40MnJqW/fvt7e3oMGDVJdTDYrK4sQYm9vz0hhDYeABgA2peZk\nqG5mFzwrrSgT6THw9m96enp6evpbu02fPt3Lyys8PPzPP/+USqVSqXTbtm2GhoZLly5duHCh\njo4OIaS4uFggEPD5/KZX1Si4SQgAbKpx0dnesh0j6UzqfYqjhnbt2q1evfr+/fvZ2dl79+4d\nP358RUXFkiVL5s2bR3cwNTWtrKwsKytjpLCGQ0ADAJtWBsx3sLSjfzYyaLn9m9UaLqC0tFT5\nc+vWrf39/ffs2XPnzh1TU9OwsDD62Qz6buGDBw/qHCEnJ+f+/fvqqA0BDQBskhi1uvPLmdOr\n90WviHj825V+nXtr7NAVFRVCodDNza32LgcHh7Fjx1ZXV9OhPGTIEELI8ePH6xxnw4YNTk5O\nK1euZLxCBDQAsEzA4w/s5unnNsTEsI7lAdVHT0+vXbt2d+7cuXXrVu29GRkZhBCJREII8ff3\nFwgE69evz8/Pr9EtOzt79+7dhBB1LC+LgAaA5mv+/PkKhcLX1zc6Olr5gEd5eXlwcPBff/3V\ntWtX+gUWW1vbuXPnPn/+3NPTMyEhQfnxxMREHx+fvLy8gIAAFxcXxsvDUxwA0HxNmTLlzp07\nmzZtGjVqlJGRka2trVwuf/jwYVlZWevWrffv36/sGRwc/OzZs19//bVr167Ozs5WVlZZWVlS\nqbS6unrgwIHbtm1TR3k4gwaAZm3jxo1nz5719/c3MjJKSkp69OiRnZ1dUFDQ/fv3O3TooOzG\n4/F27dp14sSJESNGlJaWnj179smTJ25ubjt37jx58qRIJFJHbcysSfheo5e8wpqEAMA1OIMG\nAOAoBDQAAEchoAEAOAoBDQDAUQhoAACOQkADAHAUAhoAgKMQ0AAAHIWABgBts3r1aoqi+vTp\nI5fLa+ySyWQURXXv3p3eXLx4MUVRe/bsqdEtPT3dysqKoqhFixbq7dXLAAAWLUlEQVRpouI3\nQEADgHa6evXqu02RkZ2dPWDAgMzMzPnz569Zs4bxwhoOAQ0AWmvp0qX0coINl5eX5+3t/fjx\n47lz54aGhqqpsAZCQAOAdurSpcuLFy9mzpzZ8I8UFRUNGjQoKSlp9uzZGzZsUF9tDYSABgCW\nFf1b8sdP56LWn0y917iz3fp9++23Li4ux44di4qKakj/ly9fDhky5Pbt2zNnztyyZQuDlbwz\nBDQAsCkzOXd612U/Lzywe/mR2X1+OH/wOlMj8/n8iIgIHR2dr7/+us61YlWVlZX5+Phcv359\nxowZ3JnYEgENAGw68P/+elX8v2VbdwYdZnBwV1fXOXPmPHv2bMGCBfV0q6ysHDlyZGxsLCHE\n29uboigGa2gKBDQAsCk3LU91syCnqKK0ksHxV61aZWVltXPnzvPnz7+pz9KlS0+dOjVkyBCK\nor788svs7GwGC2gKBDQAsKmti6XqZpv25noiAYPjGxgY/PTTT4SQL774ory8vM4+z549mzx5\n8vHjx+fMmVNQUDBlyhSOrGSCgAYANk34/mPLDub0zy3EotmbxjN+iGHDhn322WcpKSkrV66s\ns8Onn366Y8cOiqJCQkLat29/+vTpzZs3M17GO8CisQDAJiMzw61Xl927nFxeWuns1t7QuIU6\njrJx48ZTp06FhoaOGTOm9l5fX18dHR1CiEgk2rVrl6en5+LFiwcOHOjo6KiOYhoOZ9AAwDKe\ngNfFy7G3z0dqSmdCiEQiWbdunUwmmz59ev093dzc5s6dW15ePn78+MpKJq+GvwMENAA0C5Mn\nT/b29k5ISHhrz1WrVtnb29++fTswMFADhdUDAQ0AzcX27duFQuFbuwmFwt27d+vo6Kxbt+7C\nhQvqr+uNENAA0Fy0a9duxYoVDenZq1ev+fPny+XygICAoqIiNdf1RhRHniZhUXx8fPfu3WfN\nmsWd14cAAAjOoAEAOAsBDQDAUQhoAACOQkADAHAUAhoAgKMQ0AAAHIWABgDgKAQ0AABHIaAB\nADgKAQ0AwFEIaAAAjkJAAwBwFAIaAICjENAAAByFgAYA4CgENAAARyGgAQA4CgENAMBRCGgA\nAI5CQAMAcBQCGgCAoxDQAAAchYAGAOAoBDQAAEchoAEAOAoBDQDAUQho4CK5rLqi6AXbVQC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OFEVdv3597ty5AQEBNca/cOFC//794+Pj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\nLyKKy1wBigAAAABJRU5ErkJggg==", "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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7upuppfdVYqPfv3F2r1N29yZrO4fV1BgXj1+rZtZUeP8svXtmyRSKVeDz/8V+Or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\nlKZNTQWqivUAAAAASUVORK5CYII=", "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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OoPPIJGpXm182jFrm5OfP66pAvyEEJl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5cgAvvfQSy7IAWJZdvXo1gMcee8zBNbtp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\nwSfaJ1ANAAAAAElFTkSuQmCC", "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$points)\n", " return(fm_Scasat)\n", "}" ] }, { "cell_type": "code", "execution_count": 100, "metadata": {}, "outputs": [], "source": [ "start_time <- Sys.time()" ] }, { "cell_type": "code", "execution_count": 101, "metadata": {}, "outputs": [], "source": [ "fm_Scasat <- run_Scasat(se)" ] }, { "cell_type": "code", "execution_count": 102, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Time difference of 0.1387031 mins" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "end_time <- Sys.time()\n", "tol_time <- difftime(end_time, start_time, units = \"mins\")\n", "tol_time\n", "running_time <- c(running_time, Scasat=tol_time)" ] }, { "cell_type": "code", "execution_count": 103, "metadata": {}, "outputs": [], "source": [ "df_umap_Scasat <- run_umap(fm_Scasat)" ] }, { "cell_type": "code", "execution_count": 104, "metadata": {}, "outputs": [ { "data": { "image/png": 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WEYT0/PFi1aREVFjRkzxsfHR2WleMVaHO7u7s2aNXv27FlwcHDbtm2PHj2q6FNc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\nigtLgsZuffHkZUU6Xzl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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "p_Scasat <- plot_umap(df_umap_Scasat,labels = labels,colormap = colormap,title='Scasat')\n", "p_Scasat" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### BROCKMAN" ] }, { "cell_type": "code", "execution_count": 105, "metadata": {}, "outputs": [], "source": [ "run_BROCKMAN_preprocess <- function(se,file_path){\n", " peaks = rowRanges(se)\n", " binary_mat = as.matrix((assays(se)$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": 107, "metadata": {}, "outputs": [], "source": [ "start_time <- Sys.time()" ] }, { "cell_type": "code", "execution_count": 108, "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": 109, "metadata": {}, "outputs": [ { "data": { "image/png": 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n268U83ceLEmJgYNv3rr7+Kv2/u7u7+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\nCA4AkOz/AUhcc8SGomCNAAAAAElFTkSuQmCC", "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": 110, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Scaling data\n", "Doing PCA\n", "Using 10 PCs\n", "Doing tSNE\n", "sigma summary: Min. : 0.397634432609744 |1st Qu. : 0.484855006853813 |Median : 0.514140192840839 |Mean : 0.514832636829968 |3rd Qu. : 0.545309505387848 |Max. : 0.636142164266995 |\n", "Epoch: Iteration #100 error is: 15.506833989865\n", "Epoch: Iteration #200 error is: 1.27507189922053\n", "Epoch: Iteration #300 error is: 1.15823110793429\n", "Epoch: Iteration #400 error is: 1.11570360852249\n", "Epoch: Iteration #500 error is: 1.10156824369909\n", "Epoch: Iteration #600 error is: 1.09477949430765\n", "Epoch: Iteration #700 error is: 1.0908612143467\n", "Epoch: Iteration #800 error is: 1.08824583803737\n", "Epoch: Iteration #900 error is: 1.08639627630976\n", "Epoch: Iteration #1000 error is: 1.08505994328252\n" ] } ], "source": [ "fm_BROCKMAN = run_BROCKMAN(mat_BROCKMAN,num_pcs=10)" ] }, { "cell_type": "code", "execution_count": 111, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Time difference of 14.10883 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": 112, "metadata": {}, "outputs": [], "source": [ "df_umap_BROCKMAN <- run_umap(fm_BROCKMAN)" ] }, { "cell_type": "code", "execution_count": 113, "metadata": {}, "outputs": [ { "data": { "image/png": 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SfoOtkHjRCqT7LLJL9GZv/0T+azbCEjF9y3b59UKp09e7atra1SlZWVVWho6OrV\nq0mS1H6RRYsW8fn848ePK641//z587Vr186dO7d9+/aMhKodJmiEUG16lSty//35zIspP1xL\nbfdndNgLNeu/V9fFixcBICAgQG3txIkTv//+e3t7e+0XEQgEXbt2LSsre/r0KVUik8kmTJjg\n5ORE9Z/oASZohFBtWn07vVD03xoM866m1vyaaWlpAODm5lbD6zg6OgJAZmYm9TE0NPTx48fb\nt283MTGp4ZWrCBM0Qqg2JRVUKH7MKBELJXJNjauoqKiIy+VqWnCt6qgVfqj1IeLj45cvXz55\n8uTevXvX8LJVhwkaIVSb2jbkK350szbhG9U0L1lbW4vF4vLy8hpep6SkBAAEAgFJkiEhIdbW\n1j///HMNr1ktmKARQrVphU8Td5v/9xhYmLC3BTjV/JrUbh6vXr1SW5uZmal9Egrt9evXAODk\n5PT777/fuXNn69atel5MokYTVd6+fbt79+4XL14QBNGmTZvRo0c3b95ctVlpaWlgYCAA4I4n\nCCEldqZGz6a0jkgpLhPLvR3NrHgMzJ7r16/fP//8c/78ebVjLTZt2rR+/frly5drf9eXl5f3\n7NkzMzMzDw+PmTNnAsCgQYOU2lCjqmNjY93d3WsetqoP/1scOHAgJCSEXn/52LFjK1eunDt3\n7qpVqxSn6ACAVCqNiIioUZgIofqLyyb8nc0rb1dlQUFBq1at2rhx45QpU2xsbBSrMjIy9uzZ\nAwBDhgzRfpHQ0FCxWDxmzBgOh9O7d2+l60RHR8fFxX366adWVlY6fKz+sOHTDx48oLKwj4/P\nTz/9tHTp0o4dO1IX9PHxKSoqUmxMb0NV82HbNYQTVRD6SMybNw8APvnkk8ePH9OFL168oJ6p\ng4ODqRK1E1UqKio2bdrEZrMFAsGbN2/UXn/+/Pmg+4kqH/gEvW7dOqlU+v3339Nd5itWrDh0\n6NDXX3998+ZNf3//K1eu4MqfCKHasmbNmuzs7L///rtDhw6enp7NmjVLS0uLiYmRyWT+/v5b\nt25VbLxly5ZTp04BAEmSJSUlcXFxQqHQxMTk4MGD1Ei72vKBCfr27dumpqarV69WLBw5cqSn\np+dnn30WGRnZv3//y5cv8/l8TVdACCHd4XA4u3fvHjly5LZt2168eHHt2jVjY+OePXuOGzcu\nODiYxXpvfERiYiK9swePx3N0dPz000+/++67Fi1a1Ebs/yHIyuY7qmVkZOTu7m8JIHwAACAA\nSURBVP7ixQvVqvj4eB8fn8zMzH79+p05c8bIyKiwsJDaBuXD7sUgakeV6dOnb9mypXYjQQih\nSn3gMDtLS8uUlBTFZVVpLVu2vHTpkoWFxcWLF4ODg9W2QQghVKkPTNBeXl4lJSUbNmxQW9u6\ndevw8HAej3fw4MFx48Yp7bSNEEKoKj4wQc+ZM4fFYs2bN2/kyJFHjhzJzs5WatCzZ8/jx4+b\nmJjs27evV69eNY4TIYQ+Oh+YoHv27LllyxY2m3348OERI0bcuXNHtc3nn39+6dIlGxubhISE\nmgWJEEIfow+f6j116tTo6OiZM2e2b99e7QRCAPD29o6JiQkJCaHWHEEIIVR1NVqLw93dffPm\nzY8fP+7QoYOmNnZ2djt27MjKyrp27RpdmJycrPahGyGEEE1PiyVZWFj4+vrSH3/55RfsmEYI\nIe1wNTuEEDJQmKARQvVWVFTUpEmT3N3d+Xy+ubl5r169du7cqTg5IzQ0lFDAYrFMTU1dXV0n\nTpyouiRpSUnJd99916xZMy6X6+DgMGPGjMLCQp3GjwkaIVQPyeXyRYsWde7ceceOHQRB+Pj4\ntGrVKjIycuLEiYMGDVLcBxYAXFxcevfu3bt3by8vLzc3t6ysrJ07d3bs2PHMmTN0G4lE0qdP\nn82bNzs5Oc2cOdPV1XXLli3e3t5CITMb3aqn06WYNKEWV9X/fXE1O4Q+EtRazx4eHpGRkXTh\n27dvqRWc6SSgdjU7iUSydu1agiD4fH58fDxVSC1SOnnyZLrZjBkzAOCXX37R3bfAJ2iEUH0T\nGxu7Zs0aOzu7GzdudO7cmS53cHAIDw83Nzffvn07vRWsKg6Hs2DBgvnz5wuFQnpJuIcPHwLA\n6NGj6WbBwcEA8OTJE119DeziQAjVuuycsl+3R/306/1nMe8YueC+ffukUuns2bNtbW2Vqqys\nrEJDQ1evXk1WtnbbokWL+Hz+8ePHqf4QKysrAFDsmI6PjweAJk2aMBKzWgzsLoMQQh/s1eu8\n7v33FRZVAMAPqyP2bx0w6stWNbzmxYsXASAgIEBt7cSJE6tyEYFA0LVr1xs3bjx9+rRTp06j\nRo3asGHDggUL2Gx2ly5dnjx5MnfuXHt7+2nTptUwWi3wCRohVJtWb7pLZWfKvJU3an7NtLQ0\nAHBzc6vhdajV+qnOEDc3t5s3b1pZWU2aNKlt27bjxo3jcrm3bt2yt7evecCaYIJGCNWmpDdF\nih8zskqF5ZIaXrOoqIjL5RoZGdXwOtQaFcXFxQBQWFi4ePHi9PT02bNn7969e/bs2Xl5ed7e\n3nFxcTW8ixbYxYEQqk1tPezuPUqnP7q5WvF5NU2s1tbWmZmZ5eXlPB6vJtcpKSkBAIFAAAAT\nJ068fPny5cuX/f39qdrBgwf7+PiMHTv2wYMHNQxYE3yCRgjVphXzvdxbWFPHFubG29Z/VvNr\nOjs7A8CrV6/U1mZmZqpOQlHr9evXAODk5FRSUnLixImuXbvS2RkAevXq5e/vHxkZmZKSUvOY\n1cIEjRCqTXY2/Gc3xl8+OuLk30MSI7/26dms5tfs168fAJw/f15t7aZNmzw8PFasWKH9Inl5\nec+ePTMzM/Pw8EhLSyNJ0snJSakNtZCnlhF7NaSrBC2RaOtFGjNmzL59+3R0a4RQ3cLlsv17\nOw3+vIWVpQkjFwwKCuJyuRs3bszNzVWqysjIoKacDBkyRPtFQkNDxWLx8OHDORyOnZ0dQRAx\nMTFKbWJjY0GXI+2YTNBpaWnz5s1r3bo1n8/ncrnm5ubdunVbu3at6nT1jh07Ko73RgghBjk7\nO8+aNSs/P9/b21txIkl0dHRgYGBOTk5wcHDr1q01nS4Wizdv3rx+/XqBQLBkyRIAsLa29vX1\njY6O3rFjB93syJEjERERXl5eDg4OuvomTE1JDAsL4/P5am9hZ2d3/fp1pm5UEzjVG6GPhEQi\noWb6AYCnp2f//v3btGnDZrMBwN/fv6ysjGpGTfWm1+Lw9vZu3749lcpMTEzOnj1LXzA+Pt7O\nzg4APvvss3nz5gUGBhIEYWNj8+rVK919C2YS9D///MNmswmCCAoKunDhQkpKSm5ubmJi4smT\nJ6mx4g0aNKCntNciTNAIfTzkcvmFCxcGDRrk7OxsbGzcoEEDb2/vXbt2yWQyug2VoBXxeDx3\nd/epU6eqpqzU1NSJEyfa29tzOJzGjRuPHz8+JSVFp1+BmQTdv39/APjzzz/V1i5evBgAxo0b\nx8i9agITNEKoDmGmDzoyMtLDw2Py5Mlqa5cvX25ra3vlyhVG7oUQQh8JZhJ0eXm5lveYbDa7\nWbNm+fn5jNwLIYQ+Eswk6M6dO9+7d091RAuloKAgNjZWy8ayCCGEVDGToFevXi0SiQYPHpyV\nlaVUVVxcHBQUVFFRsXLlSkbuhRBCHwlm1uJ48eLFkCFDDh8+7OrqOmDAgPbt25ubmwuFwpcv\nX546dSo3N9fNze3IkSNHjhxRPGvbtm2M3B0hhOolgqxs1eoqXYUgPuAsRm5dLVFRUZ06dZo+\nffqWLVv0fGuEEKouZp6g165dy8h1EEII0ZhJ0AsWLGDkOgghhGi4mh1CqN6KioqaNGmSu7s7\nn883Nzfv1avXzp075XI53WDx4sUEQRAEsXz5crVX+Pbbb6kGCQkJVEloaCjxPiMjI2trax8f\nnwMHDjAbP5ML9iclJb169UokEil+f6lUKhKJUlNTT5w4odPtbxFCiCaXy5csWbJ27VqSJN3d\n3X18fAoKCiIjI+/cuXPq1KmTJ09yOO9lv5MnT6rmaJIkT5w4ofb6Li4uTZs2pY5lMlleXl5E\nRERERERCQsLSpUsZ+xqMzEcUi8UjR47Uz71qAqd6I/SRWLZsGQB4eHhERkbShW/fvu3evbti\nEli0aBEANGrUCAASEhKULvLPP//AvzuqvH79miqklu/YtGmTUuPLly9T+2xlZGQw9S2Y6eL4\n9ddfDx06BAAtWrTo0aMHADg5OXl7e7ds2ZJq0LVr13PnzjFyL4QQ0i42NnbNmjV2dnY3btzo\n3LkzXe7g4BAeHm5ubr59+3bFVfYHDx4MACdPnlS6zrFjx8zMzHr37l2Vm/r7+w8ZMkQikTC4\nrAUzCZrKzqGhofHx8bdv37awsHB1dY2IiIiLi4uKinJycnrx4oWrqysj90II1TfiUki/C6kR\nUMbM1iT79u2TSqWzZ8+2tbVVqrKysgoNDV29ejWpMMzX19fX0tJSNUGfOHFiwIABJiZV3UaA\n2morLy+vBrG/h5kEHRcXZ2FhMWvWLABgsVidOnW6c+eOVCoFgA4dOhw8eFAoFG7YsIGReyGE\n6hVhDjzaCInhkHwJon6Dd09rfsmLFy8CALXWsaqJEyd+//339vb2dImRkdGAAQPu3bunOBea\n2mxw2LBhVb9vdHQ0MLrBCmOLJTk6OlKLYQOAh4eHSCSiNoMBgG7durVq1er69euM3AshVK+8\nvQFS0X8fky7W/JJpaWkA4ObmVvVThg4dSpLkqVOn6BKqf4Pa3rAqwsLCzp49KxAI+vbtW61o\ntWBmFIeVlVVxcTH9kerNiI6OpjeVcXBwiIiIYOReCKF6RfT+OpfiYpBLgGVUk0sWFRVR7+uq\nfkrfvn0FAsHJkye//vprquT48eNa+je2bNlCZ3OpVJqcnJyRkUEQxObNmy0sLGoSvCJmnqA7\ndOiQnJxMj6Jzd3cHgHv37tENkpOTeTweI/dCCNUrpo3f+8izqWF2BgBra2uxWFxeXl71U0xM\nTAICAm7cuEHtofr48eOkpCQt/RuJiYkR/6IGigwaNOjy5cshISE1DF4RMwl67NixANC3b9/N\nmzeLxeJu3bqZm5v/9ddfp0+fzs3NXbVqVXx8fLV+biCEPhZOfYD/76s8jgm0GFzzS1Iv6169\neqW2NjMz8+XLl6rlQ4cOlUgk4eHhAHDs2DGBQKClf0NxmJ1YLM7IyDh16pSfn1/Ng1fETIIe\nMWLEsGHDcnNzZ8+eLZfLBQLBzJkzKyoqBg8ebGtrSw3b/u677xi5F0KoXjESQMdvofUE8BgN\nXb4HC+eaX5JKrOfPn1dbu2nTJg8PjxUrViiV9+/fn8fjUWM5tPdv6A0zCZrFYh0+fPjQoUMT\nJkygvtLSpUvnzJlDdWvw+fwVK1YMHz6ckXshhOobgg2WrmDdCjjMdIQGBQVxudyNGzeq7iKS\nkZGxZ88eABgyZIhSlamp6WeffXbx4sWHDx/Gx8dXa/yGjjC2FgdBECNGjNixYwf1kc1mh4aG\n5uXlJSUl5eXlMTn3ESGEtHJ2dp41a1Z+fr63t7fiChPR0dGBgYE5OTnBwcH0EAZFQ4cOFQqF\n3377rfb+Db1hci0OVTwer3nz5jq9BUIIqVqzZk12dvbff//doUMHT0/PZs2apaWlxcTEyGQy\nf3//rVu3qj1rwIABXC73/v37I0eONIRxDYw9QV+/fn3w4MHOzs62trY2GjB1L4QQ0o7D4eze\nvfvChQuDBg0SCoXXrl178+ZNz549d+3adfHiRT6fr/Ysc3PzPn36AIAh9G8AUzuqnDx5khrm\nrb0ZI/eqCdxRBSFUhzDTxbFy5UqSJP38/JYuXdqkSRMul8vIZRFC6GPGTIJ++fKlsbHx0aNH\nGZxCgxBCHzlmErS5ublUKsXsjBBCDGLmJeHAgQMLCgoeP37MyNUQQggBUwl67dq1Tk5Oo0aN\nevHiBSMXRAghxEwXh62t7fHjx728vNq0aePo6GhnZ8diqUn99+/fZ+R2CCH0MWAmQT98+NDX\n15daOyolJSUlJYWRyyKE0MeMmQQ9f/780tJSV1fXadOmOTs7GxsbM3JZhBD6mDGToB89ekQQ\nxI0bN+h9yBFCqLZs2bJlxowZmmrNzc2pRZ8NHzMJms1m29raYnZGCBkOJycnR0dH1XKBQKD/\nYD4MMwm6V69e4eHhKSkpav8cCCGkfyEhIYsXL67tKGqEmWF2a9as4fF4Y8aMUdwTFyGEUE0w\n8wQdFRU1fvz433//vXnz5l26dHFwcDA1NSUIQqnZtm3bGLkdQqg+Eebkx5+8IikXOfXpYevZ\nQm/3DQwMjI6O3rt37/jx4zMzMwcMGODp6bl06dLt27dPnDiRbpaSktK8efOgoKD9+/frLTYK\nMwl6/Pjx1IFIJLp165amZpigEUJK8l+/OdxvYkVRCQD8s2prv20r3L/U30r5xcXFX3zxRYsW\nLVxcXNzc3MaMGbNs2bIDBw4oJuiwsDCSJMeMGaO3qGjMJOi1a9cych2E0McmcsNuKjtTbi//\njakEvXPnzqtXr6qWf//99wEBAdRxQUHB2LFj//77b7q2V69eERERGRkZ9vb2VElYWFijRo0Y\n3xC2KphJ0AsWLGDkOgihj01RSrrix7KsXGm5iMNjYLfWN2/evHnzRrV89OjRih8nTJig+DE4\nOPjWrVuHDx+m9rl+8uTJy5cvZ8+ezWazax5SdTG2owpCCH0AW4/3Op0tXR0Zyc4AsGrVKlId\nxe4LAHB1dVX8OGzYMB6Pd+DAAepjWFgYANRK/wYw9QQdHh5elWaBgYGM3A4hVG90WzA57Z/H\n+a/fAICxuVmfDfr+OW5qaqr40czMbPDgwQcPHnz9+rWLi8vBgwc9PT3btWun56gozCToAQMG\nVKVZrW95hRAyNHwby1ER+9PvPpEIy5t0b29i2aC2I4Lg4OCDBw8ePXrUy8srIyNj1qxZtRUJ\nMwm6d+/eqoVlZWVpaWlZWVksFiskJMTKyoqReyGE6hk216iZT5fajuI/fn5+9vb2Z8+eLSws\nZLFYQUFBtRUJMwn65s2bmqru3r371Vdf3bx5MzIykpF7IYSQTrHZ7KCgoI0bN6anp/v6+jZp\n0qS2ImEmQWvRo0ePsLCwXr16LV269Ndff9X17RBCiKJpmB0AbNiwoWPHjlrODQ4ODg0NTU1N\nXb16tW6iqxKdJ2gA8PLysrOzO3nyJCZohJDeaBpmBwAFBQXaz/X09Pzkk09SUlKGDBnCfGRV\npqdhdjKZLCcnRz/3Qgh95L755hu1A+xo1KyT8PBwkiTV7nZdVFSUnJw8ZMiQ2l36Th8JeseO\nHXl5ec7Oznq4F0II1dy6detEItGkSZNqNwxmujjmzp2rWkiSpEgkiomJoVbnGDt2LCP3Qggh\n3fH29k5PT09KSvL19fX29q7dYJhJ0Bs2bNDeYPDgwdS8SYQQMmRWVlaPHj3y9/fft29fbcfC\nUIJetGiR+qtzODY2Nt27d9f+whQhhAzEqVOnajuE/zCToGt3JApCCNVLuFgSQggZKEzQCCFk\noDBBI4SQgcIEjRCqb3bs2EEQxPLly1WrCgsLCYLw9PRULDx//vzgwYMbNWrE5XIbNWoUEBBw\n9OhRtVeOioqaNGmSu7s7n883Nzfv1avXzp075XK5Lr4FYIJGCH3k5s+fHxAQcObMGXNz865d\nu5qbm1+8eHH48OGjR49WXCFZLpcvWrSoc+fOVPb38fFp1apVZGTkxIkTBw0aJJVKdREbJmiE\n0Mfr8ePHP//8s4uLy4sXL+Li4m7fvh0XF/fixQt3d/ewsDBqOxXKypUrf/zxRyopx8bGnj9/\n/t69ewkJCd27dw8PD9fRmtGYoBFCH6+LFy8CwPLlyz08POjCVq1a/fXXX/DvflcAEBsbu2bN\nGjs7uxs3bnTu3Jlu6eDgEB4ebm5uvn379szMTMbD08dqdvXSy3sJW+ccyk3Pd2nbdNH+afwG\nzOyihtBHKLsg5/DNs8KK8s+7fNrWuZX+A1Bd3K5Hjx7r1q2jVxDat2+fVCqdPXu2ra2tUksr\nK6vQ0NCCggJd7BiFCfpDnNl6bdv8w9Txkxuvvmzy7eabC1t2dKrVoBCqk16lJnT/dmBhaTEA\n/LBz7f4Fv43q84Xe7j5gwIAlS5YsXLhQJBKNGjXK3t6eKmez2fPmzaObUQ/aAQEBai+itAst\ngzBBVxtJkn/OV37DO7fvz2fyttZKPAjVaavDfqGyM2Xe9tVMJeg9e/aobvak9DavdevW27Zt\nmzFjxrx58+bNm+fh4dG7d28/P7++ffsqbiablpYGAG5ubowEVnWYoKst/nEKCcqjaqRi6W+z\nwr7ZFEQQRK1EhVAdlZT5VvFjRl62sKKcb8yr+ZVTUlJSUlIqbTZp0iRfX9/t27efOXMmJiYm\nJiZm69atZmZmCxcunDdvHovFAoCioiIul2tkZFTzqKoFXxJW2+8z96stv7AzYq7/Oj0Hg1Bd\np9Tp7Obgwkh2BoBly5apLtWvdi8VFxeXn3766eXLlxkZGWFhYaNGjaqoqPjhhx9mz55NNbC2\nthaLxeXl5YwEVnWYoKstOSZN8aPie4HYB0mxkUl6jgehOm1F8Bx3B1fq2ELQYNvMn/QcgFAo\npI8bN24cFBS0f//+Z8+eWVtbb9myhRqbQb0tfPXqldorZGZmvnz5UhexYYKuNo4R+99DEgCU\nejTiIhP1HA9CdZqdhc2zv65c/unAyeU7Evfe9WnbXW+3rqio4PF4PXv2VK1yd3cfMWKETCaj\nknK/fv0A4Pz582qvs2nTJg8PjxUrVjAeISboamvRvvm/h2q6mxs5K4/CQQhpx+UY+Xf0Htyz\nn5WZmu0BdcfY2NjFxeXZs2ePHz9WrX379i0A2NnZAUBQUBCXy924cWNubq5Ss4yMjD179gCA\nLraXxQRdPSRJyiTa5nT+c1LN/9IIIcM0Z84ckiQHDBhw8uRJeoCHSCRas2bNuXPnOnToQE1g\ncXZ2njVrVn5+vre395MnT+jTo6OjAwMDc3JygoODW7duzXh4OIqjeq7svRv7UFsv8/UjD6Zt\nCuIJcN4KQnXA+PHjnz179ssvvwwZMsTCwsLZ2Vkul8fFxZWXlzdu3PjgwYN0yzVr1mRnZ//9\n998dOnTw9PRs1qxZWlpaTEyMTCbz9/ffulUno2zxCbp6Tv1xVXsDUk6WFen7VS9C6INt3rz5\n2rVrQUFBFhYWsbGxr1+/dnV1XbJkycuXL1u2bEk343A4u3fvvnDhwqBBg4RC4bVr1968edOz\nZ89du3ZdvHiRz+frIjZCF9MT9UAikWzevHnnzp0pKSlNmjQZP378/PnzOZxKfhBERUV16tRp\n+vTpW7Zs+bD7jmj2XUlBmZYGVo0b7I8P/bCLI4SQorr6BB0SEjJv3jw7O7vp06dbW1svXrx4\n9OjRerhvhbBCe4PCd6V3zz7R3gYhhKqiTiboK1eu7Nu3b8yYMbdu3QoNDb13796IESMOHz58\n+fJlnd63tFAorqhk1Ve5TL5t7iGdhoEQ+kjUyQRNdVDQ2yWwWKx169YBwPbt23V635f3E7TW\n/7+zKDejIC8jX6eRIIQ+BnUyQd++fdvR0ZFeCRAAqI+qC6Mw68GF55qqSADFYdGLB/8ml+lq\nFxyE0Eei7iXo/Pz8goICV1dXpfLmzZvn5uaqnWjPFBO+saYqpSkrKbHpydFp6psihFDV1L1x\n0Hl5eQBgYaE848jc3BwAioqKLC0t6cLs7GzFl4fFxcVQA2/j/tsxgVQ7j1BB0vNUl7bNanI7\nhNBHru4laIlEAgDGxsoPs1SJSCRSLBSJRFevVjJyuerio5Lp40oXFT2z/Yb/GDVz/BFCqIrq\nXoLm8XgAIBaLlcorKioAQHGNbQBwcHDIz//vfd3Tp099fX0/7L6knKwoq6j0wZmW/Dz9w26E\nEEKUutcHTfVgFBUVKZVTJVRHB43FYlkqaNCgwQffVyaTS8TSqq/GT8pkGUnvPvh2CKEP9tNP\nPxEE0aNHD7lcZW8NqZQgiE6dOlEfFyxYQBDE/v3Ki7ynpKQ0a9aMIIj58+frI2IN6l6CtrCw\nsLOzS05OVipPTk62t7evSQrW7uxfN6o16ZIECFtzVkfBIIQqde/evQ9bIiMjI6NPnz6pqalz\n5syhhvDWlrqXoAHAy8srISEhPf2/PoS3b98mJSX16NFDdzfNfqO8zGCloq680EUkCKEqWrhw\nIbWdYNXl5OT4+fklJibOmjUrNLSWl22okwk6ODgYABYuXEgtJEKS5A8//AAAU6ZM0d1NO/l7\nVveUkoLy148r3xINIaQL7du3LykpmTZtWtVPKSws7Nu3b2xs7DfffLNp0ybdxVZFdTJBDxw4\ncNCgQXv37u3Vq9eCBQu8vLwOHDgwevRoPz8/3d20U19Pubn5Q2P7u8ZNq3gKCSSuy4FQpQrf\nFZ/+4/qRjReTXjA5e+C7775r3br12bNnjxw5UpX2paWl/fr1e/r06bRp03777TcGI/lgdTJB\nA8Dhw4eXLFmSnp6+efPm3NzcH3/8cefOnTq945M7CdfFlrksXinBJas6lAMhVInU+KxJHZb+\nOe/QnmUnvumx8sbhB0xd2cjIaMeOHSwW69tvv610Clt5eXlgYOCDBw+mTJnywatdMq6uJmhj\nY+OVK1cmJyeLRKK4uLgffviBy+Xq9I5nL8RJgA0AMoJI5FRpYx6CRfQc1EGnUSFU1x36+VxZ\n0X/btu5acpzBi3fp0mXGjBnZ2dlz587V0kwsFn/xxRcREREA4OfnRxCG8gRWVxO0/pWz/vsH\n4LWR1SNu42JWJf8k9Bvn5doOJxMipE1Wco7ix7zMwgqh8iyHmli9enWzZs127dp148YNTW0W\nLlx46dKlfv36EQTx9ddfZ2RkMBhATWCCrqrBgz0UP+axeSWEtgRtZmk645cxOg4KoTqveWsH\nxY9NWzQy5jP5a1ggEPzxxx8AMHnyZKWZxrTs7Oxx48adP39+xowZeXl548ePN5CdTDBBVwlJ\nQmpGSeNGZnQJmyRt5f/f2ookCNVOaVF5JUv7I1RzEc/vrw77JeL5vdoO5MONXjTQoWUj6tjU\nnP/NL6MYv0X//v2/+uqrhISEFStWqG0wfPjwnTt3EgSxdu3aFi1aXL58+ddff2U8jA9Q96Z6\n14rvV9zYsDXSlJQ4yMrFLDZfLmkuLeKSMqqWUPePrVQkKy0UCix0slMZQgDgNeuLf2IeUscs\nFqv7Jx2PLv2zsZVd7UZVXRa2Zr/fW/riTrxIKPbs2cLM0rTyc6pv8+bNly5dCg0N/fLLL1Vr\nBwwYwGKxAIDP5+/evdvb23vBggX+/v6tWrXSRTBVh0/QlSstE2/a9pBFkp0qMj0lOR0qstwl\necZkJVursIxYJoz+UkNI0Z5LR+jsDAByufyfmIetJ/qKpZJajOrDcLic9r6tuge201F2BgA7\nO7sNGzZIpdJJkyZpb9mzZ89Zs2aJRKJRo0aprvmjZ5igNSoTSjb/+WjavMuLNtyXt3Pgdm0m\naaR+8IbazqrAib05XPyBgnSiRFg6e5uaX+t5JYV3XkTqP546Ydy4cX5+fk+eVD41YfXq1W5u\nbk+fPl28eLEeAtMCE7R6FWKZV+D+75Zc+2PPk1+33IOsIlEn17ujB6V7tlBtrNT/XMgyAYDE\n52ni8rr3LIMMX15xgd2XbQtKldcLo+y5VKVJGR+nbdu2Ucthasfj8fbs2cNisTZs2KDrfZq0\nwwStRmp6se8XB59GK6xFl1EEz95CsSjeqzMAaHhoBgB4y2kQybWXAiv6n/hTWxlbihoh2qif\nvhFJNL6Cvv/qsT6DqVtcXFzovUy169at25w5c+RyeXBwcGFhoY7j0ogwkNEk+hEVFdWpU6fp\n06drmSkkl5Od/P9+8iJbfXW7pp9F3mZp2G9QTLBvmjjKAPzKU4xA1nNgh0VhXzMSOUIAcPRW\n+NebF+SXaMsXzo2bJe69q7eQkE5hJ6my+MR8jdkZAJ6mFZDG1lCutpJLyhylRcWEsRHISICG\nTta6ihJ9ZMorRLN+X/bXhbBKWw7xdNNDPEg/MEFXWxHL2FquPkEDQHNpIYeUAwCbTXwx3V+P\ncaF6q6ispM1kv7fvKt+jh02wfu7aGPLjwaqlHgJDuoZ90Mpauli19dA2kpSndYAdl5SxgAQA\nl9YO1vZVWrIDIe3+OLu3KtkZAGZ0cScIgOK3ug4J6QcmaGUsFnF631AeHIWeDAAAG8hJREFU\n30htbQN5RUN5WVWuY2Si/goIVYtMLjv/4FpVWtrwjdf16QAAYKyrfYWQnmGCVuNpmUz079xT\nRbZyYTdxOqtqr1WL80qZjgt9jKb9uvB2dOVDm02MWHsHeXHZLOBZg11bPQSG9AATtLKsUsmo\nE0lkCzW9HDksfjzH6olxw1smjpVex9reUgfRoY9LsbBkx/mDVWm5cdSkz9t2BIIFogJ4tBnK\nsnQdG9IDTNDKriYXl0lk0LABdFSThXPZpo2lpZ0qKl+N0GdYFx1Ehz4ihaXFN5/dk5Pqx3Qq\naiQwsStPgrIsIOVAyqGiCKK2gERY6YnIwOEoDmVpxf9OAejuDKbGcC8RJDKuCSd0qc/FC/Gi\nK7eM/10jSQuOEbtDn1peZgXVaVtO7/7+r9UicQWhZVoUAAA0ayB4MjnAimf8frEcks6Dm5qF\ngVAdgglaWbMGCisctWkCHo2hWLR9rMfY9rY3Dj9IZgtSOOZSYLlI8x2lxZr2XRi7dLBtUyu9\nxIvqodi3r2dsWUIdV/rGY273VirZGQAAsp+A21CVlQhQXYJdHMos+O//o8VmEZb8gZ9YAQBp\nYhxrZCMkjMQEO9bI9ilXzYtEACAIon9Ibz2Eiuqr+7HVmK7dzFygoYaErChG4kG1BRO0shtJ\nJUolPCO2hQkbAF5mv7f4UTbbVKru8YRrYsQ3M9FdhKjea2zVsNI2bBa7X+dPL/0UFuCneeOe\n1NtMhoX0DhO0std5ypviuFobA8ClG8nxb9SvH0YREZxClkkFwRaLJFJJ5f3UCGliZ2ljxKmk\n+1Eml118eGP4qq8vZ8vBzEF9o/IcKEpmPj6kL5igleWLlCcK7hnYHACu3X6jVM6XS9j/9hA+\n4Ta8YeJ4z7hJhLFjOkvw8HK07iNF9dOzpJddZwRIpJXsCAEAPCN2sbBk5I/fxqa80tgoB/+v\nWIdhglbWpcl7ezq0sDZu38i0sKjiVXyeUkshwSEJggR4bmSXxf5/P6CMIKKNbKOfVWliLkKq\nen03RCqt0i+wVjYWF4P8mgmMPrHSvBFJCU77rsNwFIeyBV72x17mpxSJAUDAZQ1u3qDb0MMP\nVB6fAYAkCCFw+CDN4Lz3lkZGEJbO6t8fIqSd93dDSoRVnYNKAhn9rvAzF3ttjUoyQVwKXE0v\nEpFBwwStbO3tDCo7A0CpWL7+UQ60agapJfBG+QmaBSQPpOUEh1R5Vejli0s+omorLC2+HVP5\nrG5XS7M3RaVSOfk4M/9xZr4Vz/if1He9HRvN7+GhbrydHEpSwfoTXQSMdA27ON5DAux+mqtc\nasSGT91VG7tJ8tgk2aSxgP1+fm5uZ9zITld7X6J6bM/lY5UPewZIKiyVyv9rl19e8SA99+e7\n0f0OXJXI1J3PVjdKGtUFmKDfIydJkVTdzNriciCUH5NN+Mat+3fccHHukumd6EKBEdy5NF6n\nQaL6avPxv5RKeEZs1WZyDct1PczIe5Sp8ngBACxcWLGuwi6O97AJoq+L+em4gv+KknPhdTYk\n5oLKfxVPJGbRd4o7vchbtrRP4IBWJ09GN2poGhLShWeCf1VUbblF+Sk5yu+WFZ+Uq6JAJFZX\n/BFta1fPYCpRts6v6aXEIpFUDhIZxGXDzTgtjSUS+YSZ54cEuHVs37hj+8Z6CxLVP52+CVB9\nCOCyWHO7tVr7T5WGypkbG3VtYqNcyhWAAP+fWVdhF4eyx5nC//dyyEl4kFRp+9IyyZtUbRNY\nEKrUs8SYlKxU1fLRbZx/9O3waGLAJzbmqrWmRpzGZnwzYyMAcGhgeuTL3taqLwkbtscujroL\nn6CVldN90Macqvw05LBZTe3NdBoSqvcmhM5VKjFms4d+4viTb8c3RaXbouJic9U8BEzu2HKj\nf6cKmbygXNxIoGF1AbuOjEeL9AYTtDIBV+G1TBMLSMzR3v7rce2NuWre5CBURXJS/jw5Vqmw\nQiY7EJ10IFrbbzixVA4AxmyWxuwMBJhq22ATGTjs4lA27VzKfx+6OKkO3lBy6kJ8XoHGTb4R\nqlRRWYlUVvnEblWD3JpW0gIH2NVxmKDfI5TI88oVlqyzFoC6va8UpWWUDB1/Mr9AeYklhKrI\nUmDu1FDDakcaCLhGfwV293dWN4dQsV/OtnWNIkO1DRP0e/hGLJbiE3NqAcRnV3pWxN3Ur6ac\n0V1UqB6TSKXTf12Unp+pdmV9TT/fWtnZjG+nYbYqfQ6bC64DGAgR1R5M0Moamiq88s4uBpMq\nvQG/fDP55l01b+ER0m70T99sPfu3RCJVO1r5ZnDfXs3+vza0gMcf5z989fh5nVu2fZie1X33\n+bsFBBCa/xPu8j2w8CVT3YYJ+j1JhRXZZQpdHJ0cYWx3aK4ytlSdQWOOFRRiR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aHbjYQajYbLG7Oysurr61taWoZbLl26dOHChblz596x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\n", "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": 114, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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Lm05FIyVbzPKBbxd//1FA9P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\nlhMXF2eNfAEAwGZs/GoP1XobSvNsWLLLovEBAAAAmjkUcABA45VfXPj2T59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wMfundQdnZpxsmCqMiAiFDfCy9I7NKJOQGg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\ndpF9E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S4zKuHrmbk5Z3cONZVZGaiP757sj8jW8MnNwj8mbsp0NXqxRqIrp69G58ePL7P01u6P4C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\nETxPgkbEYFANE3Opf7fi+ZNadWpx+2zY0y28Vp09S+9+7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J9JvDLPKbUqdcL56wcmfKDMLTnPi0NbMrF7tmrjTZZuFbYGAM87c2eHFkE9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\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BTVIbMCrgKM7grOLb9xrRShuN2DjKZH0n9vvn5zSkwvjxcnaZ+A+nLG+tykYgD1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\ntj25b784wqaupqsPP3Q4LdM8ITx8s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L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\nkCFD4uLi1qxZk5aW9tdff7VtExwcnBYx94Tw5dBYCiQ6MGw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symrZtA+OSaRKAPmFwvGzjiTGTPf2sIRSymFqxkUptl00dDttXEiJSHEx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0+/xoLkmkN6pXHamxZDarTfP3VEyP8bjWpGlUGRkG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\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BlHSA8A4NvLDU/2s68ILXhuFFNdt2fd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\nO3JphcUHVlTpPlx+vKpGv+9Q91PfIp4NZNtMl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OHDlq1Kg9e/aEhYX17Nnz9u3b9+7dmzx58oAB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\nWvz1eXNEqdJ9+f3ljStHtN55++g2tGPy4Pj6KpmTh5jZIrlMWGJg5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3S/UGgPd7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\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Hdis2k/5aCpnQTEO2Fo7/6HVvz25c61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5FdJ6AJA1or0cCcvANdjbVp29aqyY7dkQ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\nbt1a6MMrwfYLu7psf1gJgMugrujlxqBRrVnUaRFOao3mdpEot04GgEOn7h7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ABaK4AlGdVPl+lIcNiyaUGV4EenjqDDaUSvWfpzLNOyFT\nzuOp318WqVTD345FNfqLDQmwZVIp8kb/PxsWrb+vNQCxRPHX2eyaOkl0lE/HUGfzBgEAW+6V\nGyd/uFf+sgk4nL0dKFSKxihqpFxmbp3SHGd2xv68/ID2+MjG85uvf+jbwaPlKnbOJpFxuFZs\nJocY5lnm8ePHkZGRV65c+U93hEAgEAgEAoFAIBAIBMJ/GCLg+AfwCfHITjQsknq0c/ln1RsA\nqAz6yJ3r+n+xTCYQ2bfzoTKabZ9CpUSN7fIPXFImNE3y21LpzlfbK1N0y6O2MurkYrvv21dp\nk/czH7X94tV8k6AebPuSWe0uIf4M7IMQMBIMnkqtWr59zS9n9suVigEde60ZORWNDiUdc5Ov\n9hwhp+jkFKHOnM5uLfppt8b6z6Kjo7xj7xbfYOG+VOe7LVaoP40tjisQtXdk7UqqUqg0g/xt\nfn0lwNuG+fr4Dm9EPp7YW7dMH/vUismk6VtLSCwbM/1oZbUY/8feeQdGUfxt/Lnecpdy6b0X\nUkkgQCD03ouggHRBEUQRUPwpggKW14agSEdp0nvvEFoQSEjvvfe7y/X2/nHHtSQQFBFxP3/t\nzE7Z27tMZmefeb5AcAD/8uHXHmPOoUOr1bbIIwG4k02pF5CiwuwbrRnFAqMLd2nxPdsxgwCM\n7Daw9E6XpOQmXb/nrhQmX5nBs1Vbc3h0qnHl1MXJKuPGrCOnc4Uief+e3kH+dgAUCvWD1Goy\nidQx3InWWqQYU35598v5o2bklheE+4TUPGhc+85OQZ2IyWZM/2zM0Dd6p2XVcdi0AF/bxzdi\nwbq71Qse7V/c9KDm9KSgIf6tizP6+fD6+bQZNL0tiprkZUJFmCPbhkmxOKXWqAd/NPlK8i1d\n8rfzB67/cNj0jhEQEBAQEBC8KJAooFr+K39cYdeucO1qmmft7T7t9v7sw+cVzRLvft0cvVlI\n2QLNo1fa3o98MmhW8OqP4kfvVhncc4t/yrpmJuNWKTSliTmdDeoNaT0qbkMpgY2v/9Cef6zb\nZSjpP7yPQ1jgyD3f3f1+e3NlrWtsRNTsCX+s25F71CihZtvbqZUqvyG9DAIOEokU8sogaX0T\ni29jKBY4ZkDgmAHQamGqwKUbQ6IAAIkMmsmEUyWDykz+m1FasTfdu9V7Zsuijtufe6XI+GhA\nI5P6+/LWDfFmUEgAvlp7R6feACBLKXeqEd6/PNPLhs400VCnZdV++eOd4lJhbLTLxwu7lZpr\nQQC8caIgqVKiO765L/fqtJBeXlwAR07njJ1+RJd/7GxuWYVo2aI4sVLz5Y0K0+qb7td+2tNt\n+0jf6ccKRAo1Shtskks+/z3xRLjT9yv7VtWILbpjs2kzJ4Z//WlvdmtigpulIoWJvmGgH8/F\nilbfKO0yaEd+kf6Z6OevB749o5VYP3USMzFEjVgllig57BdoGsnhsdz9nU13IOTeL2xPRa1W\nu3PlMUNSKpYf+P7s4s0zH19r1Nv9bh5/YEiOeWfAn99g8FJTVVVVW1s7YsSIf/pCCAgICAgI\nCAgICP4dECEICQgIXm4IAcczYMrHI5OvZtZXNAFgsOlzv534N3Vk5eJg5dL6Zq/20pADYTHo\nXDh1BOWxpgJcNzSYGN5yPdrTfPUDM+GFh4RG1pI0JC0AT0ez8BliifLEuTyhSN6vp7eftw3M\ncbKzL6jSv7xn06iRztZURQMAVCdB0YzwGeuObl97ZJuuwNWHtz/RaLZsWf1w60FlsyS0R+yu\nm9nlPi7gMlElnOTmSqf81VXCof39hvb3A/C/K2VfJhjXiy8WCi4+WvC8VCiccazg4pTgyf3o\ncDRusuztWw1RqeEGzv3gnE69ASArt/7jL65/vDDuRmIZ35bVuatHQlkziYT+vtbWDOOriHEh\ndr8+rDNejTALikYA9WVBIYH8Xb+MyNFSJh7Kk6u1ABiQVSav0xU8fvs86iuB3rpks7qqx6Jh\nVcJiGpU6f9SM79781LB+asWhTxkfaughr7Bx6MQDuQWNAEIC+Wf3TvB0f4JCItQ7MNQ7EICf\nq1fs4Ij6ikY7Z2udkikqrJVwP0/ku9tm+xdn/H41471edlzLn8qfQAvMOVG4JakWAJdO2TzC\n59VQs52RVx/eNqg3ACRmJZ1OvDS6++C/3jUBAQEBAQFB22jRVAC5ADQuGnOgEILnCZcuFrFI\n/g5YfJuo2SYRWGLeRW0qtGrYh4LjbMz36gu7QAiLoVU3JhyyUG/oUEvlZ+YsYzvYRs8YyK0+\nqAuwgprkbq/GKGUTsg6e1Wq1QaMH9Ph0HgDPXrGevWIBqKQyYUlln6+WKJulRRf1kxBJXcPu\nnpNhYg2h1WovLvrq4qKvgsYMGPjzcgrdRBZg8VLcrRuq7+t7B+DaFRSToBVUFpi2kDUaMkIY\nDUs9c74uCdCae4eE2LNIWhzJajTNvDAlWKeu0JGcVm16trpKxFOrmFRmg1Rlx6ICKC4T9hi+\nWyCUg8u8KdEcKTq/5J1uplUYVLJBvaFjT2q9rov125JM879ed+eT9+MSy5rlajN9c5NMBWBs\niG0v78gfThV8ufF6k1IN4PzVwqETD5zZaxle57vP+rw1rRX5BYAasVLv7fGIK4UiAN//8odB\nvQFg0aeXZ02OYNAtxUO9vXnHso23Ky+hgLvyzOC+vr+uG+Zo/xQxCnWIBRJBXbOTlz2lVUdB\nc5pqRYd/PF+aU+kV4jr23UE8OzMJe21pw4lNVxqqBeHdAy08MGrKGlRKNZX2BCGUTCwXNZpJ\nYaqL69oqbCCse8CP1z4++2uCTCLvMiQifmynJ1b5b5KamgogMjLyn74QAgICAgICAgICgn8H\nRAhCAgKClxtCwPEMcPTkb3qw8t65VJlUEd2nA9/1Gbxj/lsoOI2yG/rjsgREzweV1bJUUalg\n886HTfV2A7ztRkc2AADbAX5D29ODlZtjTarRoFhI0+jUG3Zcm4XjZhvyK6ubuw3ZWVwmBMCg\nU3auHz5+ZLBpO++NfeN2xn0qmfzL0K4zo/zIpkvSjXlQyc7du2pa/mbaHy6rfgsc3R/AB59d\nLU9ORLL+9f8XCTkfTI16oodEO5E/NgD2tWKRVKVhSWosT4hrdAKOBqEwuf4o/Cug5KA2GhLH\ni9eK9hzKkCvUAKiOXNXoKNCpThzapanBoY/ChIc4sGZHO5zJFZQJ5WjOR/4WsD3gMHj8a+P2\nzgglk0mhQOrc8PP5AhaN/MGXI+RSE+mDVYnx2Ot0lbARgFKl+uHQ5hDPgNlDJ6E13v34kk69\nASAzp37R8ssHto5u/12iUMmOnvxWT51KvLTt7F6JXDqm+5BZQ16jkFtfKdYCNeah1qvFyrfX\n/m/vx+vbfxltsT+9QafeACBSqGceLxjox7NlGgfD0toKiyrFNeUgICAgICAg+PvQapD2Kxrz\nzDJrU9FUiNDXn/fFsPjw7A25ABV3IL8OnhdcOoFEAQCuO7juqLwrqpe3rEeh0coTH+qObbSp\nkYNdDKfINQ96r1zW+8tFLWtl7D119aPvFCIxlcmIeWeqQcABQFxT3+oFZh+5wA/xi31/Rtsf\nwR7RC1CZCKUYtv5w1L8Vlqo0F/IFUpW2l/to56K9UEl1+Tyq6kvfjAYlfVOlN4A4d641kxzq\nwF4S57w/o8Gi7Zx6mamAw0KKzbWi36pTLNiTXCFSOFvRfhzsVXI1TyCUw90Ww8NBpRQBSy+W\nDA+wOZnbBIBNI6/s67boXKlpIwq1RqXRnsptyuGwQCXjUVQXsUS5aUeyX7yvxSUF2+unzXUS\n1Td7UzVKYyCVkjJhZXXzordjv1t/V5cTE+k8/bXWF/WEcnXctgwLgxCZSqPRIiff7D7I5Kqi\nUoGIxRDK1Z1cObxH2uufh3rViJW3y5oBoKRBeysfWpy5VDDvw/NtTafFEqVareFxzbT1Wq12\ny/8OHPvlskatsXezXbx5ZkR8UKvVdUjF8sUDvq7Ir9ECiWdSEs+k/HjtY4NQo7a0YV7c581N\nEgCXf7/j7Gu2JcAzyOWJ6g0ALCume4BzaW6V4cEsMMb7ibUABER7BUR7tafkf5mUlBQAQqFw\n0KBBd+/eJZFIffv2Xb16dVDQ4753AgICAgICAgICgv8sRAhCAgKClxtCwPFsYHEY/+B2Immz\nrCC1jGvL8Qx2aXn24PVTh26cZlDI010lvb2c9LmyRlQkwrO3ReHsvIZOA35rFisArAc+fjtu\n1aJIWLnq16yfROzCGSVXEg3BvEPmT1zElzjY8KcPHO9ka1woXP3DbZ16A4BcoZ6/9IKFgGNC\nrxF2XJv6jOOverZmOEwicVlmYUdoVCqDrl/0zC0wW12VSJVllSIfz9ajbzwt/Xx439+pAkAn\na5xo8loNW6Y07v9jUEh0CkkXT90MjiMArVY7YdUcjf09fSavELmvVlST1I92EKpqRPz0gvqO\ngdVi5eILJWcmBQHYcL/m3bPFCl0ZEglcf3T8VldezWOQH23KDLBjBtgxAXzFopmu9NPIbL0O\ngtYMptnuyV9O/NaWgOOPJLMdpYkPWtlg+ic4cvPs2BVv6I7P/nG1tLZi5fQlrZYkAfFe3PP5\nAmNWU/qpjEsarYZM+qtanMTyZtOkRKlJqZYa3kNUFdXSKi3NaboEt75Hk4CAgICAgOAZoFEi\nZRuExa2cqs+ArAFMu1ZO/a0ohHjwE5RiAKhJRlM+OpjMmhg29l5cCpWsVhmlvQEj++UeNwZA\nYbAtHOC0UDaDytQlVFJZ5oGzorIqK1fH6x//oJs8q2TyxG82W1wIhU5TK5RoQdnNB48TcABg\n2cF3iGlGuUgRvz2zsEkOgEunHBk3u1/VT9AaP8JYh4pNld5MKnn9MK9IJ71dhEFSbCDM0Szn\ng3e6HjieXVuvt9D4YEmPKccKpCoNgKpm5bSjBbMUYgDo4W8IdiNSashkUubbEWVCRaQz24FN\n3fWwPqlKAqUaSSWoEORl8aNTq1M1FLjZQ5Vp2t2ZSwU7J4a7cukVIv0TB4VEWj9Urw84kNGg\nUKMl367oM3KQf+KDCk833thhQW1pu0/mNuU3WkpzhgXYkEkIDbY/eMKoU+dw6DMuV9yulACw\nZ1MPjQ/o6cUF4Mal35rZoUyoGPTK3oxk4xT63JVCiyg3AJrFihkLTh86ma3VYlAfn53rhzvw\n9bf9h09PXvxJvxBZV9745dRNO7K+pjHafHi/fyGtIr8G0DuoFGdWJF3N6DJEL9w582uCTr2h\no6qg1prPEdSLAdAYVM8Q1+SrWVG9gy/tuf37/51qrBaGxvnP/Xaii4/+8U0hUx7fcLk4o6L7\n6Oiz2xMEdSIAgTHek5YOb+t6CJ4WnQPHsmXLunfvPmTIkOTk5EOHDl28ePHq1atRUVGmJaVS\n6bRp0wxJsdgyQhABAQEBAQEBAQHBSw8RgpCAgOClhxBw/OtJvpr11fRNwvpmAJ0Ghi3b87bp\n0t4Phza/v+Ez3fFvwLFX+4wM9FCoNWnVjXRtRqhHL4sgxGs23tOpN3R8syVr2f+GMFpTb6hk\n8qSNe8tvJ7Md7KLfmmgf6g/AOSZ08vXdmftOq+UKvyG9XLtGvtraNWfmmu0mrKmT1DVI7e3M\n1oL7R8eDlofGXMvKdoGgMGYNmXjg+klD3vRBE+hUvdQjvIPD0TPGWkwO7fMH9Z2qZW9EOzJM\nYqmImhXHz+Y1ixX9e7USw6UthgbYrOzjLiy4tsIzg01RN4PzamrE6Xq9LGZmRwcKiQRbf9iH\noS5NX8c5Rme/UVBZcinphrEtsorqkKMqNYvC3ltT7OlB+aHUL7VaCkAgVxvVGy0Y5NeKKmXu\niKmGbxzA0smzj+2mpmTUOtha14GkhbGphwUZFfXVrnynlo14uHENq/AAPFy5Lcv8CTac2Gma\n/OXEjrYEHAA2DPOO+OFCM8URAASpKN7NYDNIeAYxs9249BY5+h/PwTXndqw8plKoglyD8rxy\n1VoNgI8nLegaEv3X+yUgICAgICBonaILras3dCia/wEBR9UDvXpDR12amY7E1p/t4d9ndu3V\nLdkqpQZAh4nDot+aZCrgKM9oCu5pEn6FzjNUV0qkewfOrM8qaLVnCoOulhtn40HjBmb8fqpl\nMRb/qT3/ll8t16k3AIgU6rfP12RHkk0FHFqQg+2Zq/t4GNQbAPp486ZE2O9M0QfLmB3t0M3d\nTEjt5c7LujV7z+EMgVA+sLd3JoUmPWr8aDKVhuNvDwA2ZgFEsuqkwfbMYHu9ouXwhIB5p4vP\nrrmuKaoHcKOsEVcLMaETeAyQARMLPA6HxqVTzkwKXHi+5F6F2NeW8UVfj1g3q4JG+Zc3Ks4X\nCODNR2IhVHodh40ta9a7p8urmrtEu/789YDIUEultUqj3ZNWn1Er7eDAqpNYamW6uFmtH+YN\nYOGbnQ+fzEnNrAXAoFN6T4059SjsS51ENf1YQcECY/ALdx7djmH2AMW1opNaTGM//uK6QRRy\n7krh/KUX9m0eBWDJiitn110zDWApqBMVZ1b4R3laNvEIYYPlW3zd46GOphqhxVlJs3zC4qGH\n155TylUJh+8lHL434s2+JzZe1p29dz7tswk/rb+znEwhK2TKaSFLdaINAIHRXh9se4PNYwZ2\n9CaRn8HMnEBHU1MTm83ev3//sGHDAGi12pUrVy5fvnz69OnJycmmJZVK5YEDB/6hyyQgICAg\nICAgICB4ISBCEBIQELz0/I0CDqVSSaO1Zp8AAJgyZUqnTkQE3L+KVqv9dvZWw/LcvfNpR9df\nHL9wsKHAmsNbTMv/mJgZyOeN3Hslt0EInOoSfObU6h18nq2hQEW1yLS8QqGurZO4t/b+/uyb\nn+aduqo7zj12aeLFX+0CvQHY+nnG/e+tx192SAD/ckIRbHNgkwctyVodwbdlARBLlGwWzbi4\n2TLCi3MMfIYAGNSp1+nVO38+/muzVDwktu97Y98wFFk0N/b42byH6TUASFSKrEfAryl1v6bU\nHctuOjs5SLfMWFou7DZ0V3mlCACDTtm9YcS44e01p/0kQgFtqu7YCuJjEfdfLx9TJacPD7RZ\nEKtbpiehwyQ05kFaC44LrL11hUXSZoumXhvrd3ADVSZXGe+Mm3q5b9qeKvdAPg9Adp3MQr3h\nwKbWSlQMCmleZ6fZ0S2sPoD3xr7hYMPff/UElUJ5vf+4sT2GfD4bEqmSzaKFzT6dXpRjKKnR\naFMKMlsVcCxb1H3MtMO6Yzqd8uni7u28OY9HIDZbO26WilVqFZXS+ijkY8P4MU4y66e3ATVk\ntQCmDXyd1HLl++mZHmW/JrGqTKh/NTLNFdobt8rsbSgu7tuWHdJl+lb4uda5jV3db9S4AR4O\nrn+90xcNYnwmICAgeDH5d4/PWjVqHkJcDY4THCPb6d8GAA05bZ6issCwRvltqCSw8YW1D7Qa\nyJtAZRvcLP4WlJbTNjMdCYmMiFlhTlG+IwprS+W88HjbQF+1Qsm2t5XU6Q3P0i5WxEzracOq\nAQCGNYJfxSMXsawDZ9tSbwCImDEu4/eTcoEIQOjrIwf88L+I6eOKL98pu/mg9IbeyI1Cp0fN\nnvC0nym1RmKazK2XSW3DWPXJUqHyxs7ckpRGlr3jkQUBwSERFhV3jPZ9M8Yxs04a5sDqaq7e\n0GFny5w/S692Lc9qtDjbsaPrL98MnP+gSc3nGDJrxMqDGQ2vdNDfUm8bxs/xTj7vmYi8VWpk\nV6GbLwKckF1tyJ4xMRxAhBP70hSjgV+dRNVje0ZlsxJawJaN4eG4UwihlO7MaypubGqUArh5\nt2zklENZt2azTALnqbXaQbuzLxfq56idXI1XCIBJJf8+zs+WSW2SqW14jPsXp5+9XFDfKO3Z\nzePNhCoUGGe2hU3yOonKnm1sec7UqBuJZYbkm1PNTBR0XLxupls6f7UQgEAo/37DH34t/nys\n7Vu58wbC4gJMk3QmLdQkp0NX/7O/JpgWUMpVDy6mq0zsSs6ZFyjJqizNqfIKcd3+6WGDegNA\nzoNiMpkUFOPzmIt5Wflbx+ejR49qtVrDww6JRFq2bNmBAwcePnyYnp4eGhpqKMnlchsajJaT\nRUVF0dGE1pyAgOA/zb97/kxAQEDw8vK3js9ECEICAoKXnmcs4CgrK1u7du2ZM2fy8/OlUimP\nxwsJCRk1atTcuXNtbMx2icXExMTExDzb3v8VXNmXeHnvHY1G23Nsp4FTu//FF9K1pQ311U0V\nDhVNVk0MBcOzxjPrrnE5WKvV1gvNllBrJPI3T97ObdCvNiZmJX209ctNC//PUKBbJ7fjZ43R\nxz3deW4urag3xFV1BvUGAKVEmr77ePxnC9p52R8v7Lbn+p5GzgVdUoD8z7dHHt1FSU6r4XEZ\nn7zfbcm8LgDgEovaFGgfeQG7xcHP6NM7JLbPkNg+LRu35jHuXZh24VrR4aSaLdUKcPWL+xcK\nBPcqxLFuHAArv7+lU28AkCvUC/53cdzwoKNZjZeLhHwWdXa0g2sLkwYjTfmmKapWsXcgC3aB\nlsVs/WHrb5rRwSvQw8G1tLbCkPNqv8FdnO3e+Uh/H/ydNQuHyakkbYy16NN+HQH42jLIJGhM\nJBxL4lxmdXTgMii0Nna8kUik1/uNfb3fWNNMNosG4K1hU9/5+RPTfB9nD7TG6CEB9y5M277p\nRlNe8YBgeoyTptVipuRXFG87u7dZJp4UHdnFWgG1HLaBcO1i+vKmf3R8YlaSIdknKq4t9YaO\nmYMmQKvZdnafTOEyNn7I4vFPEAa1Ez6Lmvxm2IZ7NeUiRXTWXdnydafkCgDcQH8yiaXR6l+u\nMBVMm3rbl0m9QYzPBAQEBC8mL8n4rNUg9VfjNKnqPiJmoZ2Bzygt5l0kErRa0LnwG46k9VCI\nAKD4Elxj0ZADWRNIZLh2hd8wPAt3rlbgeaH8ljFJZYJj1Lxq1ZqCczeFJZVOUSFe4yIffQja\nkC2rz771qbiqjkQmh08bYzPwXSjFUInBsjedEQlL2wxOZ+PrEffRm92WzqnPzLdyceC6OwNw\njgl1jgmNXTQjc9/pwou31DIFhUHPOnBWq9G4dnmK/UYBdsy75UafBg9rOit4FIrYZ1ZuKkmq\nBiCqLTk7dwXDhuczoDsAyJtAIoPOA9Ddw6q7x+MEBAb6+vBcGpsry4VwsIITz9OaPtjPxiaU\n36G3aPjvOaJHioEmmXr8wbzr00PiPfXPGgKhZewSKFQA0C8YkR7B5fVedCyYHdO/p3fLTo/n\nNFY2K6HS4EgS7Njo4otxHb0Y5H5q2bYfjd9jSZkwKbU6rrObIedSgdCg3gBwr0L8Vozj9pM5\n8psFJJE0KMxpY7jt+vQmkUIdbM/cOsJ3xCD99N7zodlDFpdOsWOZTWunjA9lMijbf09VKjXj\nRgTOfr0VAYc11yxsnw2PCaCsUqTRaMuoXG9VE/WReV6P0TEO7o/zofEMQw6nNAAAIABJREFU\ndnn356mbPtwvbZZxrNlzv3nN1dco9e43qev1Q3/cu5BmWqWm1MwTUWmiKddBoZIB5D20dMdJ\nvZET2SsY/w2e5/hssTJAIpFiY2PT0tIKCwtNBRwkEsnW1rgBo7HRUjJFQEBA8F/gJZk/ExAQ\nELx0PLfxuf0hCAkICAj+pTxLAceePXtmz54tkRi3dgmFwsTExMTExDVr1uzdu7dPn1Zet/+n\nOLP9+roFu3THSZczRE3iV94d9FcatHHkpfunlfJLdckSp+KBzkazBBKJ1Cui6+m7lw05fWKH\nbj5nZrh6K+OeaXLhW51vJJadupAPwNmRs2v9iFYVJrImSxveljmPwcXJyi4gt9GoZMAXOzcq\n0l8BIBTJP/jsarA/f8Qgfy3Xu1LRha3IYdmwGd4xcIltZ/tUKnlIP997NCaulpnmV4gUAAdA\nlnkMl4qq5ndPF629V6NL/phY/WBOqLeN2YqqERq7RU4Lp5DWoFNph1dsmfnt+6mFWVy21SeT\nFvSJ6XuI3bDkh26ktD8iOKKxXZUsuhbA1ldjnflWAOzZ1E/i3T6/Xq5rIcSe9WaMI4/R7v2s\n5swYPGHjqZ1pRXqj5pmDXwvy8GursFVBqv++bwA03sfvB/aN+v17z15t3v/Uwqyu74yQyKV9\nvJ27hKlQCwBoyHlw8vrtLI/hc/p4hbgC+GTyu8XVZXsuH9VoNb0ium5e+I1pI435JRk7Dylr\nCnw6OXn17QL3eFCZMwe/NnPwa1BJUXYD2fvAtodbD9Db9f7gMfBZ1I/jXVVyxca31qseuZSL\ncvI8yS5FauNit7O3w1/s6MWBGJ8JCAgIXkxenvG5Kd9M5CooRGMu7Nq398W5E0QmczaXWPgM\nhkIElh0Kz+vVGzoq7uoPtBqU34KVG5w6/skL1qgAgNzG05BDOARFqLgNADQOgl4BRT8zVCuU\nh8fOL7+jD2oQ/faknp+/qzv26BEz88HRpoJSjiOfaWcNAHSrlvMWxwizl99kGjX6zdcEpZV2\nAd4d57xK47AAKJolid9tJ1PIIa8OdekcDoBEJneYOJzGZp2a9T9dxYfbDg7b+kXAyL5Jm/Zn\n7j2lVqn8h/WOfX86hd66EHl5L7czeYIGqQoAnUL6boAnKAyZbXxJ0krTYjlHLvj0DEfGbohK\nAcDWHyETWzHGaw21Wvva9MOVl/SCcudAh1eG+JcVNdgEO/T04p6fEtRta4Zp+QMZDQYBR4dA\ne3dXblmFydcd6Q4AZDIcuYUuvG3TQgzRW9Ra7bUiUYNUFedh5cqlC+VqAEgrR7UQ1UJkVoFC\nqqSQnd+2nL4yGWbfeLFAYVHAiaKlnE6DVKkFHpaLHybpnxqy6mRj9+cWLIhk08gAlsS5HMho\nMOhRPuvt1lJcPX5k8PiRjxM6vDU96va9ckNy7oyOAAJ8bG2sGU0C3GR6eKsEDK2qz4jIJVte\nf0w7OgZN7dHvta615Y0O7nZUmtnzAolE+mjnm3M7rzCINqys2c2NZlFXODas5ibjQBQY4+3m\n5wTAM8gl/VaeaUkKlayQKenMNvfSvTQ8t/FZpVLl5ORotVpToQYApVIJgMVq118fAQEBwX+H\nl2f+TEBAQPBy8TzH5/aHIBSJRF5eXoakRvPkraoEBAQELwLPTMBx69atqVOnajSaSZMmTZky\npUOHDhwORyAQpKSkbNmy5dSpU6NHj753715AQMCT23qxuX8xffvywxV5Nb4RHnO+mhAY493+\nume2mznTnt2W8CcEHCkJ2VVFdb7hHv5RntWiWoN6A4CcLm8MMJMm/PLul+NXvnk3KxlAlEPY\n7LiZJ+8lFFaVGAq48V1MyzPolJO7X8nJb2gUyMKD+Wxm61oBW38vK1fH5ooaQ45n7y5P9Sks\nomko1GaWzmcuFQzt43VozLyKxIe6nC5LaN0+7Aogp1625GLpvQqxjw39897ufX14rbafWSc9\nnNVgmsOkkg2uyB2C7BPuGN8TuHna/Hy/1pBslKnW3a3+bmAbQabtw1F8xWiszfOElZtWi4yc\nOolEGRHqyKC3KbDoFBiRsumiQCzisjl1EnXYL6lFTXKACVb8Bv9kFr0IANzjnfn2hiqf9XYb\n4Mu7UdrsyqVN6GDHpLa5k1Wh1iaUiGQqTZyHlS2zlT9tDpN996dTuy4dLq4uiw2OGtF1QFtN\nAUj8dqvhWK1Q3v1++2MEHN8d3CiRSwHM62j2nibMT7BiacGF3bd+uPyRT5g7k87YuXTtxoVf\ny5UKWytr05I1D7P2D52t01Ik70fP6VnRk3LQ8S2QKNCo8HALxJUAUA/UpSH6HcNLlCeg1aAp\nH0oJrL3AsAwVLygsU0qkpjkBPpyiRwvU/h29eo57SWw2/zvjMwEBAcG/i5dqfJY3WebI2r0v\n3CUWZCqqk6DVwCEMzp0hbwKNDRKllWZNacr/MwIOtRzZh1CfAQD8EASOaz0ai/8IePWBohks\nPsg0AJALUHIl5+gtg3oDwIP1eyJmjLPxcQdQk5pdm5pr7eXKD/Z9TP8BI/oEjxuUdegcAAqd\nHv/ZOxbxUNJ3Hb/w3mrdccqvh0ft+c5nYA9d8o+1O0xL3v3xN0ltw7WPv9cl6zPzFc3iXqsW\ntt6vHTNnfsTBjAaJUjM0wCaIzwSg1VquXmnVGuQd16s3ADTmofAcAkZbFEuvld6vFHtZM3p6\ncQ3ShUMns89cMtoBVuXUfp9T+9Mvdw9uHT1ikD+fZTlBNfWZo9HIh7ePGTTjaGOFEFQKYrxg\nY5RNy9XatYnVOgFHs0Ldd0fWHxViACwqecdo377ePABoMFEkqLUKtToqzInNokmkSl1ex3Cn\niA5m8txoF0tldlNOnaE8vGxNT1WLlUlVEp0TSbA9M+Pt8N8e1gnk6iH+1n28W38keTxTJ4Rx\n2LQd+9NUKu34kUEThgUc++VyXXnDskn+n+3KFYqQQbMfPtDvq21jabR2mdlQ6VQXn9b1xywO\n48tT7+/4/GhBapmrr8OA17uvmvyLaQH/aK/Rc/vt+/ZMY5UgtHvA9BVjSGQSgOmfjb2y/65M\nbPRH2bnq+MXdt785/0Fzk+TmsQcAeoyO9ghywcvF8xyfRSJRWFiYu7t7SYnxOV2tVicmJlKp\nVGIHIQEBAYEpL9X8mYCAgOAl4jmPz+0PQWjhYKdUKgUCwTO5BgICAoK/lWcm4Fi9erVard64\nceOcOXMMmXw+39fXd/To0cuWLVu1atUXX3yxffv2Z9XjP0JFfs2qyb/IJQoAGXfylr+ybtOD\nz7m2nCdW1CERmr0tFpsnn4hWo105cf2d03pNwyvvDeowyTL8sEBlJozwdHTb//amuYM/lYuU\nDCXjwxPfvbJk+DdV63Vn6VTaRxPnW3ZTmxIoewhVFe4LAMDWH4HjQDcLpKKSynwHx2cdOKsQ\nick0asy8yUFjHqcGaEn/6Pi9V44Z081msTy4VvTMfacN6g0Aid9sDZ8ymuxgP2RPdkGjHECF\nSDFib8792WHZ9dIf7lTVS9RhTqzZ0Y7xnlYARu7NzWuQGaozKaQNw7zdeXQAGi2iRofxqhXC\nSiEyKplk0ief9JqbYnbfSoVmu/G0Wu2FXbeuHbgLoOe4zgMnvEUqvwFZI7hucOshbFYOn3xQ\npwjx9rA+8tvYqDBHtI01hwvg29vlRU3GldBFBVEz44Jo1p6wtvxOe3hye3i2EsjGlKpmZZ8d\nmVl1MgB8FvXYa4Gt2lyzGMzZQyc9vikdpuocAKLymrZKAiivqwLgIKd2VJn9LdBoJAaDLBYr\nT225Nn/NZF0mm8FiMyy3kd37aZfBCQNA4sHC6BGeEBTDxheCQr16Q4e0AfVZcGyHYbhKhoeb\n9XXJVASNh0O46XmehwuJQtaqje8turzas1t4l9ykYmcfh96vxNIYzzjI1D/Ff2R8JiAgIPjX\n8VKNz1ZuljncFjmPwSkaTtEA0FyO+2sgbQBIcIoCxxm1qW3WorV3Em5GwRnUPYolUZcOKhOB\n49po3wq0RxMqtRwPN0HW2JhnGVGiMbfIxsf95qr1f6z5TZfjOyh+xM7/I5HbeOlOIg3e+Hmn\nBVOFpZUO4YFcNyeL8/fW7TRP7jIIOMTVdaan6jMLsg6cNc3JOnCuLQEHAD6L+maM2TSVxbd1\n69ax/LYxyJ3/yL4QXDerZh5AEMDqhIpPrujF0MMCbI69FkAhkQBk5tSjBQqFetlXCSMG+fvZ\nMqOc2clVRt32KyFmConOHV0OHpncb3Mq6FS0cLSoFut1Fd/fqdKpNwBIVZrZJwvrlkT/Osr3\n7dRSCZWCTl7wsoNCTU4r79/T69z+Cau+v1VSLozr7Pb5h/FUczF0jAvn43jX1Ql6Y8Cl3V3s\ns02mnY8MNgzwGMbq7jz6x/F/NdbeuOFB44YHAZCIZAviV1Xk66fcH43v0nlGf0d7dnjIMzOE\nc/Fx+HD7bN2xUq5isOm6p1od4d0DYwdHxA6OsKjFteX8mvHVnq9Onvv1uvyRtKWysPbHeTuS\nrmaqFCoAv//fqRX750f36/CsLvVF4HmOz7a2tn379r106dLPP/88b948XeaXX36Zk5MzdepU\nPp//17sgICAgeGl4qebPBAQEBC8Rz398bmcIQisrq/x84yNtQUGBn1+bruQEBAQELw7ti0vd\nDu7evRsaGmo6OpuyYsUKBweHCxcuPKvu/inuXUgzXecS1InSb+W2v3pMfzNP1JgBoW2VbJVb\nJ5MM6g0AB9ecs1HZcNlm7+m7dbCMHPb716fQQGYo9Y4FVXsEV749MH/UjMXj3/rj59O9I7uZ\nla5IROZe1GdC1gitBloNGnKQe8RwvqhJvvFW6cY+M1K2HVKIxAAco4K7LX3zqT4IgLXzPu8f\nHa87HhU3qLfPRMMpFpM69dWwxlzLxfGG3KI/KsQ69YYOiVLz3e2q0ftyrxWL0mole9Pq++3I\njNqYdrlIaKreADCjo+O0SL2txbSj+XMvlQv9nRAf4DS/14Prs2aPCnLkmJkAd3U3u6vHN1xZ\n8/ZvSVcyk65k/jh/x9GtD1Tew/dkd/78AOvYxdIV39w0+HkUlQpmvXe6PXcgp97sCsUqlPG6\n6tUbSjG0luvFj+fTq2U69QaAeqnqrVOFT1W9Jc7RoWUsxVXH5rt8iYKsdekUZjilUapSth86\n+9byhOVrRWVVALoEdwQwsIpXnmy2TTYnRyUWawAIavVu2FK57HbG/YcFGVqt1rSkuLLWNCkX\nq5RyNVQSAFCaubMAgFJsmdMqZQlG5YdGhdwjMN9j2qxVnHM1NlXPUJWE2XYdFjXlk1EDJse9\nNOoN/GfGZwICAoJ/Hc9nfFYqld98801wcDCLxfL391+9erVKpfqLbbaClSs8+xqTHr3A9Wi7\ndNtk7oVUZ6KmRXUSyBRYe+tPUejgGY1PQaHDpfOf6aLRfPbe0L7JfGOezlPEztNSNWIX5NOY\nX2JQbwAoOJeQd/JqyzYasguPT168NWrU4XHvqGRyn4Hdiy7e2t1nyi/+AzaHD7+8+GtpfRMA\nSa2ZjZypaMPKxUx+oVEqZQKRWY5KBfNZ1hMZumVV4JgBTFueja9Hv++W+g/rbamMMU+WCBQG\n9QaAU7lNe9P0FxwcYNdqF4UlAgBkEo6+GjA2xNaBTQ1zZO0Z69e7hXFFXx/e7knB4c4cJw7N\n1tyxo5eXXtD8sNpsctgkUxc1KaZF2pdvHc4bEY5OXnDgws1GMyg0oVrao4v72X0TMm68seWH\nIa7OreibV/Vxz3sn8sRrgXnvRH7Zz2P4QH+Wwcoup5qkNM4e4z25QbbML9bcDu+5Lbznti/W\n3Fapnpn77sXdtwzqDQDXDySGuLGeoXrDAhqD+vZ3Ew3TXb9Iz9Hz+rdVmGfHmbFijEG9oSPt\nZo5OvQFApVDtWn38b7rUf4rnPH9et26dra3t/Pnzhw0btnjx4p49ey5btiwkJOT7779/Vl0Q\nEBAQvBwQ6xsEBAQELybPc3xWqVQZGRnp6ekW+UQIQgICgpeJZ/aGUiqVurm1uc2OQqF4enpm\nZGS0VeDfAoVqGR2D3CLnMUz/bGxTrejmsQdarbbL4Ig3v371qXovyay0yKnLb/x1yQ8zv31f\nIBYBmDHo1cl9Rt/+alPajqMqmdxnUHzvL96vLjLfqFfRFBfUyVK3YaAysZXMxjxoNSCRT+c2\nvXIgLzjjj6lFRnVF1R9p5bceePTsnJJRW1Im7Bju6ObyBLsIAA7W/Atf/97YLCCTyNYcrkAo\n/2rtneu3S12drZbM6xIaZJ8eZGlEYRfgna+wXI9+UNVskZNRK/3xdpVFJpeu1ypl18t2pRq3\nBlYrtZfr5CE+pJ2jfScdzq+XqgDEe/FmRpmtlp77zSz2zentCT+crzaINvh2ZnOC5LQaqUzF\nai2IiSlhjqxj2UZrcWuq2rPuAjSBKDgNSQ3IVHj0gle/xzdi7LTKbCE7vUYqV2sZlBaxuNvg\nckLxe59cysytD/bnf7+yb1Rn992dXA8L9aKKCx7Se4uNgbfPvr0i58gFAFogfc+JyVd3fTRx\n/u2M+/Y5OUmnSmzc2GH9XElkVOcJv/9Ov6ob1iMQwP3clNHLZ5XVVgLo1iHm9OqdNlb6VXvn\nTmGmbuT2nhwamwmuJwDwPEGm6gPV62+W5W+jdcTVZkmVDHIBmMaNnikFmWfsG7JYdD8Ro5mq\nTrKTzS3NeK19d+zfxX9kfCYgICD41/F8xudZs2bt3LkzPj5++PDhCQkJn3zySWpq6t69e/9i\ns63g3R/O0ZDUgu0AZusv8p+AQgipuYWDoASRsyEsgVICngeoLFQkQlAImhXc4sCyb6Ohx2IR\niI36uLhsGqUqYcXajL2nA+Ps+s32BxAY55R5tao4SX+dXRbPsvZyyz99zaJiXWZewMi+pjly\ngejwK+80V9YCEJVVVSdlhE8fe+9RSBR5E1J+PVx44ZaNjxuNw5YLjVNct27GAAqevTpXJ5n9\nJJwigkxNQfyG9gKpvTNAHRwn+6GbV5lluXVHnsn7ePcepiczai1NBFNrJAAfwCsjggf0Srlw\nrciiQKcoZ92BlzXj0PgnWOZOCuNPCuMDSKuRjj+Yq9Mojw2x/bC7PkiHv61ZyBsmlayz2WNz\n6DJPO6iNzwu/pdSNDDIz+WgVP1uGn63+Z8BysPrul1Hbfr5dVNAYHeE8Z5jHoQpZqVAR5261\ntIfLl2tur/jmhq7kx1/UqlSaTxd3t2hNqdHSWtiHWJB0OePehTSWFXPAlO5OnnwAtWUNFmVq\nShpcfR/n6vcXGfB69/AegWk386ztraL7hVLaDtQIgMGm27vZ1pUbH17U5qGjq4rrWlT6d/Oc\n588hISH3799fsWLFuXPnLly44OrqumjRomXLlllbWz+5MgEBAcF/CWJ9g4CAgODF5HmOz0QI\nQgICgv8Cz0zA0blz59u3b9fV1dnbt7KQ2tjYmJmZGR0d/ay6+6eIHRS+ncuUiGSAFiA5uNuF\nxT1F1C4Wh/HRb3MUMqVWo2Ww6U/bu3uApcGyR6Bzjw4x/aN7pBZmudk7ezt5JG3Ym/jtVt3Z\nrANn1HK5b0Ro9n2jH4NHkDOdSUNbqFqL6kKm6RaC3ztXIlVpeGKzfX7QQlRZO+mtE4ePp88f\nqlSnqZuCPEL7jmq5pF5SJrx8o5hrRR/a30+nb7C1sgYgU2lOFDfb9wv6dnpMt0fWF8HjB2fs\nPWXwc+724RwrV8dYpcbTml4i0JugsKhkJw4dsHRoyKiTxbpx7pbrzRWYVPJrYXrj2cJ6vYEH\nn6p43zMvlC3iNRdDOXSgn3XOOxFj9+VeKxYlFAuDf075fZyfIZq19NE3rkvmNKoTSo37Dusb\nzG6anQ1TWCO4cjGdxqB2GxZlZWMZWlvH4m4ux7Ib02qkAJhkzS+BSZSKMlTe0btEaFQovgSO\nE+zDWq1ugY8Nw2AlDcCNR2+/eqOsQjR62mFRswJAWlbt6IXnaK9ECq5tMhSoI8k2Xj/0hf9S\nAKLyap16AwAJkDUK03cf7/rB7Evf7DsgWFp++MqlXzKvbc2mMSlNYmqpJJBEIvWb1HXEnN4A\nZn27WKfeAHA74/5nO7//Ye4KXbLL4llV99N1XzfXnjnwvRgEjweDBwBMWwSORd5xqGSg0OEz\nGFbti7HNMncbJtP0DRrukr0zgEKOopCj/0W5O7xs0bt1/EfGZwICAoJ/Hc9hfL5w4cLOnTun\nTJmyY8cOALp4tPv27Zs5c+bAgQP/Ssutw7T7M9KNujQ0ZINMg2NHkMhmjlk0DkAyM95wi4Nb\n3F+6SJdYM3WCS+xjyqZu2FR74zxJIyt+UKNS+FLpZDKFNOaTqNJ0oZDZ3TE2xiEsEICtn6dF\nxcbcYnFVHcfZ+M2W30luNrEckwub03ZbmhaIyqtE5VUASGSyVqMB4NolMn75O4YCPv27m1p9\nUJmMuE/etnJzSt9zQqNS+w/v/Zj4KU+Ba1cweKhNBYkMx46w9Tec0WqRfb/coniAnV5RQaGQ\nzu6bcPZywR/JlZt3PiyvbAbg4cZb90Wb7g6tciKn6auEcoFcM8jPetcYP1cu3cXK+Pzyfjfn\nPWn1ZY8iHn7Zz10371WoNSqNmdpbqnwKhwyVRjv1aMHvafUAnPuH7R+rfxYwja+z57DZguPu\nQxmfLu6uBc7lCbLrpc0Kza8P6/IaZEF85trBXgP9Wn/1fnjthS0fHzAc/3BlqVcHt4COXqZl\naAyqT9jTBCH6Uzh7Ozh7t9fkY/YX47+ZvU3nusHjW/mEuj28nm04G2h+/S8Bz3/+7OPj89tv\nvz25HAEBAcF/G2J9g4CAgODF5HmOz0QIQgICgv8Cz0zAsWrVqj59+owePfrgwYPOzs6mp4RC\n4aRJk+Ry+eeff/6suvuncPCwW3184Y6Vx8rzqv0iPKZ/NpbNZT65mjmP0088lriR0ZG9gh9e\ny9Ilh73Ry6uDGwAem9s9VO8gbbH/r/DcjUmJS1Jv5JTlVgHg2nLm//g6HoOtP6rum6S1AAnO\nnQCSUqPNb5QBKHT1NqtCo9ytZ/1++O7hD6RjYnXOuvmSmz+uudd18uvxXu76V+ZHTudMevOE\nTK4C4ONpffPU6y5OVgCEcnXXrRmZdXoNxOe93Zf1dAVAodNeOba+6PKd5vJq55hQ3eI4h0Y+\nNTHo/fMl9yqafaypK/t4ChSaM3nGsB1hHOF8t4Izyk4bxnT45ErZzVKRK5f+vx6uHZ31Kors\nu8VQa1g07fWOCR04OiVKJZJLET3/t+SGa8V6bUq1WDn5cH7Zwo667XMxA8JObzXeWGtfV6SY\nqVhoVIpSpXa10ywYqhjSiXr6s9XHjooVCu1WvtV3Fz9087dU3gCwYVIezAk7n5zWkH+jp02d\nF0MKwCLGBxrz2ingWNbT7UyeQPQoUPfXve2hVoDSLpHQ1VslOvWGDkmkB5proFH28HDs7+vS\nIJXvSi3MKSvQn6213B0ortbvQB26asmB5LymglKVQkNhsl/b99VkNw+enRWPbwWgrLYypTDT\ntOKdzAeGY7oVe/zxX+qzCpTNYvtAJyrPASSTXYCOUXAIh6wRDBuQ2z1qufdAbQrkAn3SdwhI\nZn45/q7eE/uM/v3KUV3Sw8F1+sAJ7W38X8V/ZHwmICB4DBX5NQ8uZzDY9LjhURzr1pWFBM+f\n5zA+//TTTwBWrFihS5LJ5K+//nrfvn2bN2/+WwQcf4KSqyg6rxfKVt0DvwPq0vSnyDS4dn32\nPbp2AYWBmmQAcIyEU8fWi2k1yNofGVkWGRmtkKov/Jxxdk16nznBHBsaGFyPCZNMJ2l2QT6R\nb4x/uOWAISfn6MXiy3cmXvrNxsdd357aUkyglsnRBlqNJnrupMhZ46y93EwdNVy7RnaYMCTz\nwFldNDqehzPbwbbH8vk9ls9/yrvwJPgdwO/QMvuNhWe27UlBfAAi9Z+ri5vV6xHGFToymTS0\nv9/Q/n5LF3S7dbdco9V26+TKZj3F48+GS0Vzb+qDiaTXSXPqZKcnB5kWcOLQ0ueGr7xefjZf\nwKSS80uFA75PyM6pi+jg0Dk+MLHGGKZwROCT7TeM/d6v0ak3AFQ1Kycdzi9bGEUxtzOxiJmi\nVKq1wLj9uUeyGk3zs+tl4w7kZb4drrMGMUWr1e756oRBGi6TyA/+eH7RxhnxYzvdPZt6ee8d\nAHQmbe53E63tn2xq+DyJH9vJO8z9/oU0JofRfVS0qEH88cgfqkvqATh58uc8pbXkiw8xfyYg\nICB4MSHGZwICAoIXk+c8Pq9bt6579+7z588/ffp0SEjI3bt3ExISiBCEBAQELxPPTMCRmpo6\nduzYffv2+fv7jxgxomPHjtbW1hKJJCMj4+jRo3V1dUFBQfv379+/f79prQ0bNjyrC3huBHXy\nWX3svVZPpRZmXbh/ncu2Gt9zuCE2xDOEQiV/cXxh4tmUyoJa/yjP8B6BLcuQaWbfKYlCsXOx\nWX/n09SbuXKpIiwuoC1DCD2+Q6EQoyELAGgcsB1gHwrXbgBoZFKAHTO7Xlbi5H2q24jBd09T\n1GolSXvSrbHseqWng+aRegMA2HS1puJex755yZdneLrzAMz78IJOvQGgsESw6vtbP389EMCG\n+zUG9QaAFdfK5nV2tGNRAZDIZJ/+ljsswxzo52MewDMVAAR8dJhU2t/jy4RyiULV3652fWCy\nF0M6iSbhciK3jGgl0EZpXj2ulw0Yy32k3gAASOvQmHO7zEyLU9msLGyS+9kyJEpNxNzBldXC\nlLMPAXQb3jFsYq8T04+ZFj786+ikBwXvxtzmMeSAPGIaMyKM/OlyobC+ecfKYx/91nrsNxqZ\nNMxNiebSNr8OanvlQWGOrKx54b+nNcgkgmGka1HCo7hFhksX+A83GIe0BYNuHgbocjbifBZ3\nj/qmb4Qu4389wvc06rcA8oN9mbY8WaPQUNwtTv/ag+PIn3JjT+n1e0qJzL17NItvYyhz8UHC\nK5/P0ZpHZLe0uyCR+CF+bV4lifLUNul0Ljq9h9pUqKSw8YOVa8tv/oNXAAAgAElEQVQiO5f+\nOKhTrzuZDzwcXd8c9jqf9xSr/P8i/jvjMwHBf5z6yqbmJombvxOVZjaw3zqR9PWMzUq5CsAP\nQR7DvpnSKdC+i5vVP3SZBEaew/ickJDg5eXl6+tryNElr169+qw+xV9Di7IE4NFsRaOCVovA\nsWjMBZUN1y7gOEMlRck1SKvB84ZHzydObNoBCU4d29RtGKh+gNoU3SGdRR44v8PGmQm7P0yd\nk3oE1FZC6vb5arH/0F5HJryrUekFtXJh84Ofdrl1j67PKnDrGunWJZLFt5XW69/009gsz56d\n889cb6t/MpVi7e1ukanVaIou3zHMqRpyix+s3xO7aOaTP/RToVWjqRBqGXjeoBvHirIK0bY9\nKQCQkIuCWjjyJg7w/W1GSKsRQxh0Sp8elsYkT+TY2dy3f8tEiHG970y+oF6q4rOMzzh/JFVu\nO5m7IbUBAY5gUO9VABQGyoWl5ULHnPqBC3peLWnm0CjzOju+1ckYgkSj0e48kH7uSiGPS39r\nWseoMMvoJLdKzSIzVjUr8xrkQXyz2fiYYYHfrb9rSI4bHnQhX2Ch3tDRrFBfKRJOibCcvkpE\nMolIZvoz1gVPIZFIizfPnLBoSG1pg2+Eh63Ts3+W/Ot4BDp7BOq/Gq4tZ+P9zzMT8wGEdPH7\n01sUXliI+TMBAQHBiwkxPhMQEBC8mDzn8ZkIQUhAQPDSQ7J4pfrnG3rKWMs6nlXvj6egoMDP\nz2/SpEm7d+/++3r59fz+Gd+8rzt2sLGL9Am9n5viZOvwv0nvTOk/7vF1nyEZv588/85KQzJs\nyqj+P/xPn5A1Iu+4Pmq4Zy84d26zFZUMJJJlgHDgfL5gzP5ciVIDgCMo5z9YVUuqkVK04H4Q\nXdF8///MFj03nqe/tYm1YkmP5Uu6NwnktgFrTM/2ivO4enQSgNknCrck1ZqeSpwVGuvGafPa\nSq+i8LwxyXFCzLsoS9AWnCXB5OfUcS64Hi1rb975cM6iszMGabbNNg8EEzDqvRSXHxOrDBkU\nEqnpw+j7lZJXD+ZVi5UARvnydo/147BpAGa+e3r776m6kp+8H7dyaTzKbyL/lGmT8+Y3FRaq\nKLa8ezxvO1vWknmx018Lt7wgaQPu/wiNQftCguFTkGmIngf2U4W+1uKP782CxweMfrwxOICG\nRllo/JaqGrFp5o0vmuMC1E1NWmtrEpkMhVMsPWi07lTx5Tvn5n0mqW0gkckRM8b2+WrxE0Ot\n+06JK6wqMc1h0hk31hyJCYho/2cj+NO8yOOzKc9nrCYgeJlIz677Ys3t4lJhdLijQ2n+7WMP\nADh42C39dY7SinvtVokDnz0gzu3N6GUSoRRAfpfInJ6dySq1W3qenUzqwKLMGuw/fno8hUp+\nUlcEfwt/9/jc0NDA5/P79et38eJF0/z+/ftfunSpoaHB1rZN5eJzGpM1StxYAdMpHM8LUW8a\nk0ox/vgOqkeeCiw7dF70LDQc7SD3KCr1r+q1Gu2NXfkPjpVoAc9enQf8+AnXrRV/NXF13ebQ\nYaY5FDpdrdD7nLnFdYxfPj9h+bqa1Gy7AO8en85zCAs8v2Bl4bkbWmjJJDIoFI3SqIced+Rn\nj/hOFl0IS6u2dRxlmuM7OH7krm8NSXmTKGnT3sbcYn6wb+TsCQze00u1VFI83Axxle4DIGQi\n7PQGGHfuV3QbstO07NzpHdf/3zOzctFotI7B6+o7+yDI7PaWLYxy4+qtLNZuvv/ux49+z1YM\njI8BhwGtFpsSoFQDOLB19OhhgdQWmpIlK658+0h7wWRQrx2bFBttJiZedL7k+zvGZwES0Phh\njDXDTA8nk6uWrry2+2A6iUSaNK7DV8t6bX5Yv+Bscasf57sBHq+F8V25liYcc6I/1Zkj6pjw\n/uDpn419zG0h+Ecg5s8EBAQELyb/lvG5VYhBm4CA4CXm3zI+E0MxAQHBv4Vn5sDx5ZdfPqum\n/o1otdpFG4wGULVNDReTEgA0Ngs+XvTtJcofFBUldnD41E9Hs6ye7KkgVyo+2Lxq18XDGq1m\nfM/hP8xdwWG21+28w8ThaoUy9bcjKpncd3DPrktmGa4R6Tv1S7HqBuQcAd0adq14eABtGj8M\n9LPOmR+xcO/RA1cOixvvi6lSABQKVR0Ump6dUSOQOFobXYWvpFMB6GQBNtYMZ0eOqUQgOEAf\niizcyeyjMSikIPvWepdUQyUHxxmCIrN8cTWUEqgVZuoNAGoFWmPKhNAtux/eTC2XKWG2T8za\nZ35n3vbkWqFcv2ny3S5OHDpl8uF8nXoDwLEC4frkuiVxLgC2/Th0wexO2Xn1kaGO+s+iEJt3\nhahIWmGhqkyoqZKJq2rEMxacduCzhw0wmkw0ylTFAmaQ7xhW0QmopKCy4DMYChEEhaBz4d6j\nLfVGclrNg5QqLw/rvqEKkqQKLD74IQAJcoGZegNAU/4TBRx2tsxVH/V8Y+EZ08wdp8kbHtTW\n12s4bNKsNziDJxn1Ll59u856eKwxr5TjZMfiP9myQigRWag3PBxcL32zL8CtFYuUvwNZg4BE\nITOsXywb6ufJf3x8JiB4KdFqtWuXHT3200WSRiMgc07dogYp9SGuaksbPhn/830Rw0Yjl1Go\nS3uEVE4ZpyWTnXMKvR+kFsWGByTcz+nRqZTFAHAzq/noiHX/t+dNT9unDglH8Nf5u8fn+vp6\nADY2Nhb5ui0pAoHAVMAhl8vXrDHKbRsaLIOm/S2QaeC6QVRmcnHm04OyBKN6A4C0AXkn4T/i\neVwbw7hx5+GZsvtH9S/pS67ePTd3xSvHf2lZg+Nkb+Xq2FxRY8hRKxSPYmWg/FaSsLRq/MmN\nplVG7vpWJZWRKGQKnX59+dqk9bt161eO4UHu3VsJD8xx4puKQgDwPI0eYyqpbN+w2Q3Zhbpk\n7okrr53fSqG3K6aekZIr+kcGAGoFco6g61JdKjTI3opDbxYbe+8S04rDmQVqtTY9u45KIQUH\n8MktdBUajTY7r4FCIfn72JaUC+ubpCiqMxVwWMsUBvWGUqlZuvKqsXKzHMml6O4PEgl0ik7A\noVJpqGSSVKW5XyFmUsnRLhwyCUql5qetxuB9Mrnqp633d0QPN72Stzs7bUkyPgu83dnJQr0B\ngMmgrlnVb82qfoacUIdW7FgAUEhYdKF00YXSqRH220b5mIZiWbhh+qpJ6xurhQDC4gJe/WBY\nqy08HxqrhSkJ2QwWLbpvKL19kW5unUh6eC2La8sZPD3e3u3ltK8DMX8mICAgeFEhxmcCAgKC\nFxNifCYgICB4tjwzAcfSpUufVVP/RhpETQ2ippb5rnWuYQXhNWgAcOyXy4K65g+2vfHE1lbs\n+G7tkW26482n9xzOFvI6zB0WYLO6rzuvxTJiS8KnjQmfNsYyV9poXIrVUZ/RpoCjbdy49G2v\nD8v6Y1NqrT7uyarpH6yr5FeM6zThcu7OfvkePKVKS1pzmrnvJg1Arzi9DcaPq/tPnXdSrlAD\ncHPhfrJQHxtlTrTDgYyGGyUiAHQKac1gL8ulUo0K6TvRmAsANCtYmcfdIFNBZcAuEMWXjJl0\nK3AtHad1MBnUmydfP3Y291pNan+3NAoUoDDgNxRsR382Ut4K23i/tl6i6ufLG9/BrkQgLxeZ\nCUFuleldRhQKdXpWXVGpwNaGGRzAB7QtXSimT2cnpWuuldoZcg4czzIIOL65VbnsSplcrWXT\nyGsGzZ4dygbdCqQn74Fe/n83Pv/2JoCdCyQk7aNtmrYBCJsGKgsgNVaImyolfHcOz4nVqsV3\nS0IC+RY5+25QY2QkBiCWaNeubfbvzvQPNZ6l0On2HdoOd2IOj811sObb0VTD/d2lKtXNpIoR\nNS65K7YqesV2mDicRPkbt32La+rPzP6k7OYDAL6D4wdv+Jxu1V4t1MvEf3x8JiB4yWiqEe7+\nv1O/pdTb307RaS481EKZxmxGJ20QCRi8EirPOsa1KSZYl1kaEaSUqthH7uUwWcqcWoS5gkKW\n8qyu2zp1Wniq/8ioHaN9W+5ZJ/hb+bvHZ6VSCYDBsPRU0+XIZDLTTLlc/s/8vwgah/TdkNYB\ngF0QvPqYnRVXW5avuA06B559DRkalfrh1oMFZ66R6bSwySMDRhlfrtekZssaBI4RwUzbpw9I\n4RKLykTIhQCKHpgJZMvvJCuaJa1OKgb9vPzEtA8UQhNdr8lfVX1WQcsqVBYTgKS24eHm/Ybd\nRzWp2TlHLwaNtTS3oNBpXZbMurVaLx9h2llHz51kOFt08bZBvQGgNi2n5NofPgO6P/nDmmLx\nyKAQQtkMmhUArhV965ohbyw8I2pWAHj9ldAp40NbbcNAYYlgxOSD6dl1ADpFOZ/c/YqTg9Fp\nr6RMOGrqoeS0GgCx0S6Hto2mu9sqnHioEMCOAxoZ5Y0/jvU3lK+obpbKVGYdNEkAoF4MsQKA\nnS2zb7xXUpVk5N6cMqECQLQL59zkILJcZQjmqKOmTmJxqX62jIdvhv1yr6ZWourrw5sUxte2\nw+ylrw/v9XD+rlT9L8Tflsmik3PrpTKV/rvckVLXzcPqrRijLDsk1ndryuqClFImh+kT5vbn\ndqoZUClU53fdKkorc/F1HDwjnsWx/Ht/DA+v/T975x0YRdG/8Wevt+Tu0ntvhCS0JPTemyBV\nuiiKIqiIgiCigoBYEQGlKYIICNJ7750kpJLee70kl+u3vz/uci0JJBB483vf/fzDzezs7O5x\n+d7czDPP9/HK1zbLauUAHD1svzu3+KmCjD9WHDrw0xnd66ObL264sdzZ2/6Zb74tQ42fKSgo\nKNomVHymoKCgaJtQ8ZmCgoKidWk1Acf/OLbWYhdbx4JyyylmlzIX04m/G0ejFirUTPZT3vaj\nt86ZFstzb5a7vLHxfnFZnXrv+PpVc3klSA04Ns1Z8gcAmkUzsrknNkDA5T/YfProrbOF5SW9\nQyM7+YX0zasduz/lKiPIOyrQi1NXomLXlFTRaPHz3+w8eWw73VmTxgR1CnU8fzXL2oo1dri/\ngK/fSMdh0K7Oanc5q7qwVtXdTeArbjDnmHddr94AoKpFbSFoDGjrZ2Bde4Cgw8odgROQeRbK\nWgic4D+2Yf4XAwwGbfyoQCAQ2rFQVIEtAk3/P+IpZK8ZYFR+OPCZDBqh1hq9PXT7/+QKde/R\nex7E6Ge3587q+NtbtSh6aHEhJpOY/o5499dMyC2O4EGBdPGFXN3rOpV2wencfl6h/uyn/49k\n5Up06o1If830PkaTbVSmouIxbIOvHaiK2vsAAI1BdJ3o23Xt/Kf2CSC8g1NoO/u4JGMuGwlY\nj1iOkYoCXTHmMd9vRHN6apx977zXk57BptMAKPqqb+5OC+hcwaNdyt52S+3Yy6lbV4HzC5n5\nvbz4O516A0DGmes3V23qv+4TABXJmTdWbipNSBX7evRY9o5Tl6esPVBQUFC0EVQK9Wdj1l9g\nCEWpuab1HNJsYZIEUUNjkSCkvs4AGEqVhskgJfKimHKoNIAK+dUorsaQYADVDja22QV748u7\nuvI/6Or0Mh+H4kXD5XIBKJWWtmQKhQIAn8+3aGyajLa4uHjBggUv/h4BniPCP4SsDDQWOJZm\nIRB6oSLZsjLnKtz7gtBLfm9/s+X++j91r7Mv3RmmXhk0fqhGqTw27ePsy3cBsKz4w377ymdo\n75bdGJOPLh+g8D6U1UwHCWDUcNAYdDqr8fG8e+/wDrMn3P/5z0aPJh8+7//KwEZVsGWJaRql\nyrSmJOZxQwEHgMiFrzuHh+RcucexEbabPIJnZ1xxryuz9E2pK2m5kwrHFkgzFhkcMI0flUlj\nggb39YpNLHV1Fvh5N7nYXyxVVco0x5IrvzueWubjhBo1CqoexBR98uXlXZuMvhcLlp3XqTcA\n3IsqnPHdHeXYjoajzCuP/3o/YtIIf0ONu4uVjZhTUWkytrazCrRmsqNLUthMsYg1tL93nUw1\n92yeTr0BIKpQuvxy3m8jvUKC7OMfG8e6fXt4NLxtLxF73SB3AP8kVvhvfJRdpezkzNs03OtJ\n6R2B3a/6zu3i8LhcHurA7eoqSC6XB22KNW1wI6fGVMABgMNjB3fzw3NDaskvJm6MvpSoK57b\nfXP95aVsXnM9VzYv2ltXK9f9Vi3OKd+96ujC315/QntFnfLQL8YfqtJq2bFfL8799rVnuncK\nCgoKCgoKCgoKCgoKCgoKisZpZQFHRkbG48eP5XK5VmtMpaFWq+VyeW5u7qFDh6Kjo1v3im2H\n3z785rWv59UpZAA4LI5cqZtYNNtRRWq1pPbpab1YDHP3WkL/33TocYVC48OGEol7UJkGADxH\ntJ8Grp1lF6QWBbdRGg8aHQ4d4RQOtghCL5P8IwQcOrT0GU3vcGIf49xrdzdBV1fB8ZQqDYh0\nOR8Azcc+O+49N3uzuU5/H7G/TyPzvDQCA72b3hZZY7ZGBVUtQt9AWQI0ctgEGp/CsTMcO0Or\nNqgxng6N0chbZwKXQfuom9O3twp1RSsW/YOujgD+/jfRoN4AcP5MFEbXXE1g/HqWte8js818\nPYLU11bVdl/KV6gJAAY5i8HJQ4dCQ97Jq/W3ebp9fVKKfvHA31ljeayuLD81RqfeAKBVk7f3\npvnNk9m2e2qvYLHoZ/+Z1HPUX5nZEkNlOY2jAp0JDQC+uOUJ1Os5diatB1HMZunlKWweY8Bc\n/XZwGyA/8dTOyO9GbP+6xcsqzSD3+gOz4rUHABSSmkMTFtQWlgKoySsqjk6cfv3vRjPZ/5fx\nvxyfKSj+a0h+mJkZn5fjKRaa7EFXEvQSGt9ZW0Ov37yfw7DWgAZAUFoRcvKCoKxSzWLecwuS\nqEy+O1KK0csPPBavqqbayQ7AjdzaD7q+1Meh0PHi4rMuQ4pEIrGo19XoEqkYYDKZEydONL2r\nlyTgAEDQmkobB7feKLoPmbkKQauCqg4sfXK0mG0HTAXTCbuPBo0fGrP9gE69AUBZIz373ldz\nH5+lMZ5uZWcGgwv3PgCCXxennjUOKoImDntCXhKeg6WxmYGq9Jxj0xfNunOAzrLMVWGaCaW+\nxhlN4N473L13eMN6l0iz4T2DzXLpGtZUJ03i3hdlCVDVD1Z9hgMECaz+K37PqVSyuHpUb48v\nPu5pJWj8HZCptdMOpR9+XKkv8zjw5cDXHv9GoVBy816+aeNb5sXbpNkw3n98p0ljzQayJImZ\nk0I37nioVmsBdAp1PLJzlIc9/0uV9KubWYXFqp374g8eT5G92hkiowvdvfxaAH/9OmrSnKMp\n6RUAJo9tt+jdiKbegOiiullHMuRqLYAHBdJX9qUkzw9rmE7FlF4eVr089B9IRz6TgFlyRydB\ns1KTNCT9UU5ucpFnsIt3SOPmgndPx0ZfSkR9np7sxPybx6IGvNatOZ2rVZq81CLT36qZiflN\ntgYAVJZWa9Ra05qy/EZMKP+boMbPFBQUFG0TKj5TUFBQtE2o+ExBQUHRWrSagEOlUs2cOXPf\nvn2t1eH/O0Z3G5yy8/q1uDvWPKsQr6Dlf6y7FneXR2PilrFNxNCw5qQWnjbw1UcZicayQ1/d\nvyQJLUki+4JevQGgrhgph9HhrcpayRvffXTi7kWSJL2c3PfNnhVOy9RP5VVlgNTCORLBU5F5\nHpIMMAVw7wtrz2d4zOy8agLwcLPUW9DMvX9pBGzFzUre8XRYwpQC2md7OQm5tABn7arp6tCA\nKqikoDPBFlkaG5urN7QkDiZVxBXX+dlwpoTYsugtNij+ZpB7hAv/Qma1LZfxdhd7TyEbQHqW\n2Uylu502vZg2cg2vTomVBbQAF43pXXXy1kzsQzt6j2kr5p6/mtU93FUkZDecxm3mxG6gnz4h\nS3xOg0lkvlPJI8sBUPGjx7btmpXrxNlRENnJxVTAQYAgQAKwcRL2GN2pOZ00ZNnqq9/+clux\nr4EJST2uwSKeABc/+sYnofUFHByRtUJSYyiyRVYA8u/E6NQbOhTVtVkXbjWSdei/CCo+U1D8\n1yCrkQOEolxWSOfbaeoAyAjGTba7iqBlkCIPtaRHR0eWo+2ZSyUAaCTZ8cJ1jlIJgKFUWeUV\nSejmX99yJZ1J41dKsnxCADjxn3GJkeKZedHxWSQSOTg4ZGZmWtRnZma6uLhYW7c8q8jLh6Ah\n4mPE70ZFkrGSIzaoNx7/e1YlrTMd4SlqpABKHsaZdqOoqqnKzLXx93q2u/Ae3HP07u8e7Tig\nqq3zGtSjy/zpT2gcMHbg1c9/QhOi7eqcwvKkdIcOQQBUUln01v0lMUnWni6d353aftrohD3H\ndc1s/L2Cp4xqtIcnYNfer+/qhTe//lUtkzN53L6rPxT7tXzAzxEhYiFKYqGRQRwAgYtCQ0b+\nEh1brUaQK3ydkqPzN4/4W5VTwWbQ354Wtm55XybTaCO35nqBUb1hSnsXFEpcnMw0wU4OgrIK\nmbFsnv6jsE4VU1Rnx2O4WbMAaLXk6OkHT1/Up6HpFOp45/TMqmr5ul/urv7pNgAw6Yj0qvWy\npTHMbO3chWwAHdo7JN6Yk55VKRJyHOyelFPvTFqV3ESmUCxV3c2rHeIrfMIppog49Le7OGx5\nqHcWsWbT3w1/FqHwxg/3nNpxVfd6zLyBc9dNtmjw8HzCN7O2AjD96VFW0FxFBYNJd/SwK8oy\njord/J5yn47utjZOwooi4++FoEgfACU55dGXkzh8duSwUK7g6ZL0/xdQ42cKCgqKtgkVnyko\nKCjaJlR8pqCgoGhdWk3AsWHDBl109vf3t7e3v3XrlpeXl4eHR1FRUUpKCoCuXbuuWLHiOa+i\nUqnWr1+/Y8eO7OxsV1fX2bNnL1myhMFoK4lgXO2cpvQfq3u9+9MNAEiSPLj+7IltV2Q18sjh\nYW9/Yznv1iiLJs6l0Wh7Lh4ukypz2eFw1S8tjwwQcRk0VGeZta7OAamd+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d/k5cTn/fv3f/755/n5+evXry8rK1uzZs2OHTues8+2g/+Y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QgC4WhVnXMpIp9QaFUq3af/EYJeA4cfMcpd6gqFbV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\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jSVzgBgxZWyZX18pkXQGCkbdwSKtDqc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86KfA1un+8pybWb4edmdDBVy55a2UIKRk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\nbTHz1JWbi9YpRBIACJ0zKfMZOgwzslQpuvNIWZpGERqsaAuLoS4HeM3axff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6OIJuQ+1pKQPHpeZMqJPAzUxIKgYzBg/Hls4M+So+3+SO\ntv+VFDXYd3A3Jwb5VbMHEBBoGLXSSL2xNCLgy67+ZnTa44raf7KLEYCx/m7trcymBLfbEpdR\n3iAtb5Amltc0HgfRvMnq4hHIdHDrB2x74DgBIPDsbJNXx0m0UQfOaNQbFBI62tcFBziZXtjJ\nwUqB4Wl8gb+1GQCAW19w6NrkCK8X4hG/dSRkLhP0X6z1GJVUL0u+k4mgSEh0e5M1jknLhppZ\ncWL+fkKmkk5aOJjbVZgOZ98JnCOB3nqa2KTbGYbFJwbFSzfyYhPLnOw5k8a0z8mv33kgSSxR\nDurjOWboy6aif5NY+nl+eO/w00PnlWKJa3RXt94v9pc9cEZPQwEHABRlmgYrjF0wYMgnUdWl\ndfZuVmRqK3/VFl6uUT8t0cRuUjmsyDULeD5uLzSllrFq7+neNyL/2gNNkeNk5ztmAM2cMXPD\nDABjf2znXmAbCtJqYFgBtaVAQHFl9cmRszXeITUZuWWPUj68e5jCYtjZsOxsWC10JCAgICD4\n79KhR7ubx+JcY1PyePa4ty0gABUCuJmpbxFhmr5ErsIKBYqKPl0TmDbmdQJqQWUhieunrLZT\n6wX15Xn8khpt0Sa3MOTstcKO/nVOthgJZdUKgv65K6ioEiQXpN5/tmlU39MTfM5n1R9MqeaG\nhXbOvqAbREmnCRxtgV1SUiXan1w9NchUvGhCTlnBuNWznuQ8BYDRPQYdWPKr4e4vjUIN83kp\nGw+C94ySh48NiyqZvCw2+XUJOESgNKmRUFrZuWwSMp3mP2lY6v4z2iKNGjhtVONmN57cH/Lt\nVJlCDgDf7fvp6rrDPZ6HzybnpXefP1IkbRQHA+Bk3Yo9I47jS3f/+OuZ3TKFvGv70D/mrXOw\ntLUya/3Vo2UoZLK1mSUAMGkMQ+MNHa42TiiCYrjefdXD3mXOsGkzBky8lfRw7eEtD9MS8ab8\nKz3sTf32qgW1fEGNp4MblUzR1NjxrK+sO9xr0Zg7KbG6ZkPC+wBAVX118Kf9ymurAGDrub3X\nn9zftfAnw9Ea75Cp1G1Og/pS3D+baFQ8k2Ai4MAxfNWEbXGXUjTF3h90XfTnR290SgQEbSSg\nm7eTt13Js0aLGM0ZcQBweK17ixIQEBjiYGX72dAPt57bZ1I/rFu/VVMXB7r7YThGHeiOYY0N\nzfVMHzB+58KfUITYLCEgICAgIPjPMPX7ESn3swVVQgDAURR9HmAMAAiOh528UhrgLbTmcUWi\nk1tGef/UO/9pCabGH6RWf/LJKbJY3L+H86jZvX3o8mIj9Yb2QZ2EYAgADgAk1MKJzs7UD85Q\nKWzC7ErpZpBdafpML5CCGoPTj8HLBtg0qBJBhUCqVIO7FZBRUGFQK4Zaca8vIr78JNTJijl5\n9gWjR5SBgWNvVzDuV63o5fBVtzebS4LgfaCsqqSqTq/eGO/v9mN0iOa4kz2PQSZ1+OPcutjM\njTOXfjxsGmn3BaVC0eQ43T3cbFh0gOcvsTQz6LQQUAoAgFoOyTtAVN5ENwrzYK3DjSxtJJVS\njV3MKSudP3pT3zBHjkF8FNMGHMKb6P4GIAQcrbM+LmumvdiZywIAkUL54Z5E1oNvhbViAODZ\nma27uMjJW5/qiURGh38WPfyzaJkK27XiYVxK+TCD7M8qCpfsPaLVKBYNbHNmbYXAsKg5mLvs\n2tbd2sXrtb/EVFSKNEk09h5JXflV9+8XR7zi/b4AagWU3AVBAVDY4NQDOM2unnNdHbp9Past\nQ9ZVCv9ccizpVjrbnDVybt/BMyNtnC2pDIpCql9Sd27XhFMFg0Vz9mkp51ZNeb2ZJVsj7/D/\nYIjvmP4NJRUcJzsSldKWib0ACDJk//q0Q+crHqebuTgETh9NM29enEHltCzd0JB/9YFh5hdh\nYVlJzBP3Pt1ey3wJCAgICN5Neo7pdGLz5bK8qo4Xbqay7JUkMipTuKnqabg6z8JersThfg5U\nNUCEJzy3tiKjyOQ/kxIoTIjsUAcAxXXwd1Ihbm4o4PAMcrkqAJGlucDeJj06XEWjUqTydnfi\npeZcvxsxumY2eUWWhWWzL1LLG5QAgMpVGEpC9VuhCK7EQCQDT5s9SfxWBRzTNy7SqDcA4NS9\ni+2cPNdOX/K6PiiC9we6hamVBd2iJd+1F6Jzh1A2ShMZONaMHjX+5YaKWrfYys+z8HYc3Zwb\nNGOMbccmfBS+2bNeo94AAJlC/s3eDXc3n9IUV/61uUn1BgA4WbeSYnbXpSMbjm3XHMekJwZ9\n2g8AD/MJPPz1ttficFPCL996bm9ZTWX3gM7TB4zXhfyas7lffzB3zaEtmqKrrdPnwz8CAARB\n5vz2TX5FkW4EW551ZS1fc9ypXdCYnoN1pzAcm/PrNzv+OYThmJO1/aFlWwHg270b8soLQ70D\nV0xZ9OORrTeTHtCptNnDps4eNhUAdl48rFFvaNh96cjKKYscrfSf0oBOUUwaQ+cOYmNu1aM1\nn/n8pyV3TsRjajxiRMhL5C4xsQABxPTV79G1pzr1BgDcOBwzeGakb6dmkyE+upKa/bjAxsWy\n15jOFBrx/k7wBqExqX2ndNv73enGp5pbwvh2+M/+ET7zt01x8LBppgkBAYEpq6d9dSclNjU/\nEwAoJPKIiP7zR33czT9Mc5aEkDp6BSRmp7QwQgd3P0K9QUBAQEBA8N/CwdPms4vLJi6/imJq\nv5uxZLnR3jOqVjsna0O2Ch4F82zNKxWk1Rvvx97IouGqepR+Lzv9wbknNaU1ACBBKEoEpeBY\nNYlZg9K9VPVsUDogslJgwtAgSkMtZBpdmiKTg781WBhnlMABEgpZ7XjiQHfIqoRE/Ws7kBGY\n1AWyKkGNgbtVqjkHAG49KDIVmGaUgRtPqsKWXC95VCY5NtoLfZkoGAICgIZSyD5tKSg1rBvs\n7WRYDLA2y9h+zsHRR5MVd/3Mb+dt/15zytna4ctxn/35z4FnJfkKlTKroiKjRuRnyQYAoJlB\nuzFQkwkkCph7Qcm9ptUbAKCUxD6NMawQyhVFQnF7K3OjZl7DgWSc7vyNQSwAtc6jgsJNZ+4N\n8HJgUsjVEpnyoZe6VruiWlsh2LHk+MI/PzK35gCACsOTKyUA4G5B67zhUeWe2M2IugePPCBY\nBQC1ajovaHwb1RsAMOSTqO0L9Vnsh34aBQBFJUKdegMACosFhl02/f7o24Xd0H/tazLjCNQ+\nN3auyYCOs4Fl+4pDrpu2I/V+NgAIa8XbFhwyt+ZEDA/55MdxW+cf0jRw9rEb+XmfF5tmXO5P\nM/dUFPApNPK4RQMnLRsKACQqxdzD+RVn2xwkKiXwo9GBH41urgGuxvhPs9UKpXVgOzKt9azY\nKpncpEYtlQNA6v3s28fjcRzvObpTcC/fV5w2AQEBAcE7BYNF++3BtzMi10F2mVVDrhTIdFxF\nBjyDZiUXPdc1ppQgKODdvQEA1BgpNi8h3AswAM2KrrMFeNgosksAQQDHAcDO1Wr6qlG/5EgT\nRveX4yRWUr57YSEVxeqd7DCSaXo4Vq2gWKQENd7uyFWP8mLDUxSZzP5CbAmZBA4WIkVLAYIA\nIFcqYtKNQtJvJT98+c+F4D3GvU83M1dHQaH2jY7Xzt25Z6fXNTiXyTm1etfklZ/xFSIKoIv7\nThk7dtLLDYVSyEEzxwbNHNtCm7zyIsNiblmB7ji/oti0NQAAdG0f2mqS+ysJt40rcABIyE6Z\n9OPn8Vv/aarHC1DCLw+e1a9GWAcAB66fupX88MjX23RnV0/70s/Fe/elo3QqddmEOeZsLgCk\n5mcaqjcAYErv0eHtQ/+OvUZC0Y8HTaJR9E/C+6+e+OPCAd21xqz6WCKTaVKllFZXPM55OmvI\n5M6+wUO69Oni11HTrLTa1CqgmF/maGWnUCmF4gYrM56Xg9vZlbuX7V6XXZrX0dN/82fLZQr5\nrC1Lk3LSPOxdv/ngC383owQQT25lLB/zm0qhAoCTW64s3fdxz9Ev9jfWc3RYbrL+liPHmHYv\nfVZpOufsiuYEHL99cfDSXm3umHPbb2y+vpTKeN3qcwKC5+AYfvtY3Au0BwAcnt7Pnt1l5Zqz\n8wMimrDnISAgaIw5m5u4/fK1x3frGgQ9OnR2sTGNhrr0w4GQWf1LqisAAEVQJo0uep44TMPt\n5Jj5o2b+ezMmICAgICAgeB1wzBhl7T3pDWKywtQB1JALCdXDvtmuUqhCFRVd1RIAUCPIU7J1\nRrnMBnAAhAzYHZo+DWsFiQ0AgAPJlq12Mq8XktUUMkmp956scbEHADBJmIgAjA5BYrPC7sck\nVtGMDDMbFMChQ5jWLzO3Ti5SqPOL6kwnKtPfxcn02h3uVbNCCVU3wYuDqSD9IMgFNDJqz2aU\ni7QROBKFqX+qr5svULQZCb4YOT0iIOzG4/uWXItxkUMf+kchAAAgAElEQVQ5THZuWUFaQTYA\n8CWywD/Ojg8NOfjVZsCVkHYQ1HIAAAZPRjbPrqyz5zCsmY3zh4IDyTT5rx2LYdpIygfzfykD\nOCHgaJ1Ad79L8bcSy2ovTerta2k29nSN2MD+N+Ha0w88FgX2bDf5t+kTrpSk8aUAYMumVN7O\nBZVaBjBwDcvPSW3JRS+e/xy4L+AvOuTjXlwe6+6pBARBeo3rHDE8BADyiwQtdGkQycUSJYfd\nuiDgNSAX6NUbAIApofIxeAx8lSGFtWKNekPH/bOJEcNDBs2I9O/mnXo/28yKEz4o6IUizxQy\n5ZpJv9dVCgFAKVcd+uFvjw7OXYcEv8o8XxFpTd2ZsfOqUrIAgOtsN+zQZqv2ph74JrhGdSHT\naToZB82c49A1+M6J+PXTd2lqLu+798X6kd7uLK6znXVAE3mIpXLZxhN/XEm4w2Gy5gybpjGd\nJiAgICB4x2Gw6X/Ffrd5w5XYK0/pVXVcKlpXUleFMA3b0J8U+FfmKRg0pLxeyOLmP6sGoRR4\nLIj0AQdz4DGtQNZjZGjU+HAanezfzZtKp0QqBT9WS2m5FS54A6++liEQmZdXJYwx/REXKhEM\nB/b9DBP1hgZuaRVQreB2pnNAK9kZqGQKl8mubajX1VhxXzWhA8H7CZXDGndxR8JvB+pyiix9\nPcLmTibTX6fs3fxe/rJ4MwGFzVGReLXpspkCOs/U8+N1EeTZ/vrje7piR68A3XGwp39Sbpqu\naM+z6d2xe5Bn+9nDpraa5F4TiNCYhOyUepFQI6p4afZcOapRb2g4euvc+plf67adHmUlz9y8\nWCqXAcDF+JtkEonNYI3pMcRkECqZcuLuhaO3zgHA7ktHmTSGVCGnUsifDJzcIDV6VebX1xoW\nS/hl3+7dAABrDm3ZsWDDx4M+AIDOvsG///2Xrg2HyfZ39Vm2+8fNJ3coVMoAt3YHl/3WN7Rn\n39CemgYyhTx09sD0wmwAiMt8ciXh9qNtF3Ecd7Zx0GRsOfbTRZXBGsHhdRdaFnCoVRi/pMbc\nhktnav8UuwwMvLz/XmVeNUpGw/oEfLTSNIGOq5+ptaybX9NGhqU5lTr1BgDkpRTfPBY7YFqP\nFuZDQPDS1FcJF0T/WFnYRP7g5tAFjihkylXjtu5++gPHgsjvSUDQJihk8qDO0c2dtTazLDgU\nd//po3qRoJt/GJvO4g7zVWEqgwbEszQBAYGe+rzieyt/E+QWO/Xs1GvtgsYOcAQEBO8IATaM\nQFtmRW6hJsgKnidAobNpMpF264ft5bT1WBYAuKqEVmqtgpOE4wEqfgnKoVCpSoWSiqvbKWuy\nKJYm46uZNACQctkpg3r5X71PlcpUFEpG7/AGax4AAMU0cAsoJFGP9uk5FvgVY8sO441zOhll\nUNCgjo7XM+qgSqg/4WihP35WeSOfRwg4CF4GcQXIBQAgU6kPjewx7NgtkUIJAAdT8z4NNdjr\n5OnVGxpCvQNDvbUpuf+OvXbqvj5sSYVhhxMSdzDsmSnbteoNAJDWnkx98uHZOwCwONx/Q59Q\nkx/MGR3cfovPrKzTusbOCPbmMRqtOjJacaF+jRACjtZZMmHOP3E31nZx8LU0AwAHR1L2M5XJ\nc1DK3ayJOxLSmNoV3kqREiR6B6SMEhIA1AkxzgsumfYc3clkxdDf14pKJSkUprmcNQQH2P5L\n6g0AUBul2gIcQKWvwXH8wbnHucnFdu5WUeO6UOn6QDGFVCmsFVk6mJvaCwOgKIIgCI7r9THI\nczcRVz+HxmudbaEoo0yj3tDx5Gb62xVwPFjzu0a9AQDC4oobi9eNv7iz5S4WXq6Ddq29t/zX\n+vwSKz/P0r4enZaOtvrHjgVaSZAriZ+xfFUmjgGAz8i+A/9chaBGdpqzf/1639XjmuPLj25f\n/vFQ/7DI13xjrwCmxmIuJJUX8D0DXTpG+dVVCrmWbBKZcAQlICAgADKF9NU3g+CbQZriz5/t\nv33SKJwdBdw6rxgAJAglVcoFkAIA1IjhYioMC6ZllSlx5Ni5TM8gl3ELBwCAqF6SfTwG7Mzl\nnjZpAKhK3fH8DSWDVm9vXRji7/pYu21cZOeIJRZ3LCupL5E2OTHBc7+42oSm3QJ0IAjyxcjp\nK/7arKv5YuT0F/8kCF6S8vLyFStWXLx4sbKyksfj9e3bd9WqVe7u/5Ja/LXDsrWKXLPgTYys\naBDHbNiJ4GCuIAGAoLA0adeJ8K/eVHjrz5+t6Ldkoib9h5O1/aZPv9edWjt9ycP0hOySPACw\nMuOdWbm7i2/HNg47fcD4vVeONa6nkilMeqO4AQClSoUg0KouREOlQS5SDRW1fJ2AY/XBXzTq\nDQ0qtbpeJNx16bCzjUNxVZmmkkGjO1jbrz3ym66ZJrmJXKH47dye6I7d2zINAFi2+8eZAyci\nCDKl75jrj+8dunEGALhMzp7Fm84+vLLuqNYX5GlB1uiVHz/bd1/33hGb8Vij3tBQ21DvNyNS\noVTyOObbv/hhfK9h1aVGQUX8kkYxRgY8upL68+z99VVCMpU8ccngiV8NVilUq8ZvL8/jAwCm\nVMdeSs5LLTZx1+gY7ddrbOfbJ+I1xSGfRHmHuDY5fkW+6QeuGZng/5IFCxb88ssvJpXjx48/\nevTovzOBXd+cfCH1hgkioTQjPq9z/w6vcUoEBO8zJJQUGajPrv3pkMnbzu/THDNo9DnDp72V\nWREQELwjVKflxKzfUZ9XbO3v7TU06p+PlmmW06sz81J2n/QZ3a86LYfCoPmOGRD40WiERKyv\nEhC8K1BQ5MJEn9Fl+tc6zZvq1O9GiOolBemlru0df7tdC6UVAMDFjEzZSThugShtPSyri2tl\nYoUXInRClAqe5aN6iky3W8hvADUGJLTCx63Sy5UmlsrLhbjP8xyjzai7JF72kFoBpfqwKzCy\n44BPQ21ICNJ3tP+majVcSQd+AyAAPrYQ+twFpEEGd7LRSLeX+1gI3nNistOREv68K4/iy2oA\ncHM6lUUlixWq+8VV/Q9d/65XWDcfX9TCG1ybVT9/se27387uNam04vKYFApIjUKDfHhaCcjG\n2LRgO96kDkaro3YMJPmzkb9nScurCvrZoaN9TddqGlhunH/LfgMIAUdbsGCbPf79ChazFnA5\nAEz/iLV8pUBhmtECcnFj5YSDORisr7k4cZ0dX0OKbiseY8va3vO/uSFXqAFgSF9PDIeL13MB\nwMvdYt9vg1sb4PXBsAa6OUjrtT8yCABP75i6YfquOycfaY4v7Li96foSjYZj34ozp3+9qlKq\n7dysv9w13a+LkfME25wZ0rt94nV9xGGvsZ1NLhub8Xjprh+yS/IC3H03fPxNsKd/y9Nk80xj\ngNgWLADAcEwoFr1AGCKOgawOyDSgvICNSpNUPk43LFYlZeAYZqK3aIzHgB4eA3rgamzDyT+W\n7voBAHoptcvldETlTS5Hngtfss9c8xoU6TOyr66vXKk4dNMok/Gey0ffHQGHSqn+esjmpw+f\naYp0Fk0mljPY9I9WjhzySdTbnRvBy/HWF6AJCP6PmbF2zJnY7fdK9VlLHFQNmgMmrgxUVCVT\nbXDNb7NMhZxKlKvxUhKnlMT5aW/quIUDpGL5/F4/nOkYBu48VK12S3xqnVsMKIKjKACk9+5a\n0sGHza8VAUUcX0JXSyqLpDjexC+UDCFrHRoBGkSNnooa8f3kBZ4ObucfXmXRmTMHTYzwf21p\nLwhapqysrHPnzqWlpdHR0WPGjMnKyjp48ODFixdjY2O9vQmveyOExRW42igfUH1+SQvtlRJp\n0Z1HuErt1D2UbvHCz/kBbu2y9t69mxqHImjPwC4sut5Zx8HSNnXnjbspsQqVMsK/kxmraVON\nJuke0PnmT8e3nNmdX1GUkpehq5858AONw4QOoaThk5+XnL5/EQFkXOTQP+avM5xDY2qEdc9K\n8w1rLNhm7vbOv5zelVNaEOjhV1DVtJbL3c6lT8ceD9MTHC3t/Fy99zWlL9GQXZLLYbIbJFof\njmHd+l1LvGsoCjGcjFAiMmNxUAQ9uPS3FVMWldVUBrr7mbO5U9bPM2yZW1aYW17o5eCmKYqN\nLegBQKFUAkBtQ/1HGxd28w/zCXMry6vUOQv4dmr2zVxUL1n/0U5JgwwAVArVgdXnfMPc2eas\nsrwqw2axF5JMBBwIgny1Z+bgj3uV5lS6tXf0CXVr7hKu7U316x6BbyoFJMFbJyUlhUKh9OzZ\n07CyQ4d/Tw+REZf7iiPQmf9WMAkBwfvHljkrg738rybc4XHNZw+dGujh97ZnREBA8NYQV1af\nGD5LXt8AADWZeZmnrxhutWJqdebxS5rj8oSntc8KotZ/+VbmSUBA0CTOXOr97yMn3EmUJWpD\nC+y8bH2iA37ZlVRLs8+pIMUnafOESlAKGMRx4wBclbQkUwoAVo4WguoGqkRMlYi7I+htmqsK\nQQEARHK4lQWRPkAh4QCygjpoZ6vtXy0Cq+Y3tvr4wZV0qHhu/18nhpOJdAoJq5c6OnIH9LIB\nADcrJpgzYXwYSBRARoFKBgCQKSGrAh4XgUzVhTDjI3hxriTcGfT1TAzHKKg2ur9epjdHuFNc\nvTH8C9Tdt7nuFbX8ref2NlZvAMDnwz+6l5YYjJE4qN5R5lltg+64UGjkAlssFGM47sKFFe0R\n8PcEwAE3kjL9HJs+f/YcAyfKNw4h4GgTFDIZ2FbQUAoAQUGUP//gxSUxTp2W8Yv1ESocpVwK\n+rA2cqCjqkoI2ZUAYGHDOrZz+OtyL5s1teOg3p6JKRXODtywYDsAKCwRisUKH08e+d90LEBQ\naD8Zsk6AuBJQCjhHgpXW+TkvpVin3gCA3OSiu6cS+kzqeu90wvFN2ifIigL+2sl/7Ev7kUw1\n+iP8cteMvd+ffnwrnctjj5zTp/OAQMOzJfzyAcsmCcQNAFBeWzUgLyNt101LrgU0j52rVXAP\n76R7WnEAg03vM6nrL6d3fb9/Y4NE5OvstXvRxm7+Ya3crLgC0g+DtBoAwDoQfMcC0shvqs2w\nHWz4ac90RZadVavqDR0ICdU4TgNAHaeOIWcAABuRosaqyKqULGMBh1ylNnJtEUnFLzf5N8H9\ns4k69QYAyMRyAJCKZNsXHfEMcjFR+RD8J3jrC9AEBP/HcHmsm48WTVp4+fi1PFSNefFLPVT6\nAHF7tUioouWRzTVFXK3/dXhchYnEirhzjx/WInXxZXC3gIuo3KpyabhaY9hok1tY5ekqtLEU\nUplw7BEo1WKEIiZRUMCLcDMXlfYtTgloBYmdQ7FQP39gHdSn9S9qBEEm9x41ubdpKgGCN83y\n5ctLS0s3b968YIHWtWL//v3Tpk1btGjR+fPn3+7c3jXMPZ3JDLpKqpcLWHdoVuMiKCg5Mewz\nUVkVANB5ZiOO/mwX0oqquDEcJntwl95NnqKSKX1C2popA8Ox5Nx0mUIe7OnPoNGjgrtFBXcD\ngDspsdvP7xeIhYM69/5s6BSTXov+WHXstvZv4OCN0xYcs1/nrG7hKmNWfXI7OUZXNGeZzRs5\n0296L11SFQdL2yY7mrO4exZvUqpUkYtGbzu3r4VLlPDLw/1CwtoFVgvqIgPDZw6ceOPJg2/2\nrM8py+cy2MXV5bqWXg5uhroWLwc3nUSjsT7bsGW4X4gF26xO1ERWSqlcFpOeOGPNmPynpYXp\npQBg7249e/MHzc02N7lIo97QkXwns3G+FbSZkEf/rl7+Xb2aG1yDlaPFzLVj9608o8nqEjE8\npOeo1l5bCP6zpKamBgUFXb9+/V++bmF66cMLSWqVWi5VtN66RVp2rCEgIHgVSChp5sCJMwdO\nfNsTISAgePvE/7xPo97QgjffFCB5zynX6HCP/kQOPgKCdwgqCT1xfeHVIzFZjwtdPW3SRJSA\nnnsxQACAjqsAIQMCgEMRycxZJWTg2r1nw91FQ+dICo4xcFUD8lxLnVkBedXQ1QPoFGhvD7oX\n0loxsGmgc8ovq4eEQhApwIELnd2BQ4fRIXAwBgTPX3IrhJqj/EzZiMmnEq9PO6Az6NXothUq\nOJcMVULdt9C6Nbc6u1t0D3d6fR8Vwf8/E9d+xqNTBHKlEsMAwJJJq5HoAwXlSkVeeWGHZgQc\neeVFYbMHNrnCAwDL/9q4/C8Y6u18cmwklYQCQK1UvvJusubsMB/nryOeb1fhsPRm4vqHaQAQ\n7mh9amwvB04jC1schvo6IxI+sJvOgfsmIAQcbcYlGtIOaA5tbVByUKdgUF3bckF3fqYH8wcD\nLxYViiBUEu5pjVY3fDyu/fXME8uO3LfkWswbOaNHhy6vOhcnrouTfmnS1ek1eHu8DGwHCJ0H\nKimQaIDolyYri0ydVysLqwEg+Y5RJq3aCkFRZrlJGBnXkj1vm+n6so6riXc06g3tsHX828kx\no3sMamGOJQ8f2yT97Uk2r8eYDBI2be209PqsBb+v0JzNLM4ZtfLjvAMPmbQmPKX1ZB7TqjcA\ngJ8CbHtwNrKvKOaXbTrxZ0FlSZhP4PxRM9mMltSGnRdMK7rzSK3QLpCFf/VxS5duhBrTSjEy\nXTOYMqa5yFyCm4Y6mbkZfYlwmZzuAZ3vpcbpavoG9dy3/HTq/WwzK86oL/oFRLzNGNyy3Krm\nTj25lUEIOP6LvK0FaAKC9wQyGT3266Al5eIDKTUlm0+LHxrtl/AwaR6YN+6F4TD+QIZ1ZmWG\njA2yBgCoB0ik2XWTlSGA4wAutx/XejqrAIU8Pij1sj8MkDSKVQWJxcXkEoRSRWLhACwmhSRX\nkUjoh2P9v18c8aZvmeClOXPmjI2Nzbx5ek+CqVOnrlq16urVqziON85n9z5DplF7b1p6Y8EP\nKrkCABzCg4JmjG2u8f1V2zTqDQCQ1QpOfL3memfGg7RHdjzrbz+YNyFqOABknb6avPukUiRx\n69Oty+LpZAb9TUy7TiQYuGxyXOYTAHCytj+3ck+It/YVNDIw3NB93YSL8TcNi//E3WhBwFHC\nLzdUbwBAB3ffFQc2GdaU1VS62joVVpralkzrPw4AbiU/iElPbPV2YjMeLxrz6ZieWlvB/mGR\nGtO42ob66MXjkvPSAYDHMd+58KfmRpg+YMLOi4dlz/0Sx/YcYm2mTwxsybU4s3L3rF+WZhbn\nmLO49WKjTItWZjxLe/OtD77LTS7CcdyjgzOFRgaAoszyXd+cyE0usnO1mrp8ZGDPdgDAtTSN\nXjKz4ri2d3TzdyxI03wICJVO6T4itNW7boFRX/TtOjQ4J6nI1sWyBa8Ogv86FRUVfD5/6NCh\n//J14y4lr538p8o4xXWrIIDggAMAiYSqDYyLbhx+2Htis985BAQEBAQEBK/Os/M3knedeIEO\nOH7v+98IAQcBwbsGiYwO/DBi4IcRBYX1Yzr/iT2XZ8gQMgNXSoECoa5KqeK+macDIqZJZPYe\n1sxD15BmFFtmuKwBDHaImFTo0GiP2csWziYxo7xRaw6zSlh1NgkwHACgVgR8EYwJAQSBSB84\nn9J4fKlMde7ysy1iI1NPoJKBS4dK/Ts1ny/tOfxQ6p0Z/r5WL/yJELxPiGWSLWd2P36WqsKw\nOpGQSkI16g0AMFRvaKDnnQWLWvAYBDQzk1ObTv5pqN4goygZRWQqo1D2v58VB/359yhf1znd\nghuk6h+jQzbHpT8srloRGaRvhMAIXxeNgCO2lJ/Gr2tCwIGAlzkHsk8Dwxo4/5KGgxBwtBlL\nPwiZA/zUWw+KFm+tfpyXCgD9w4J6OlMQwHuO7sTq4vvDjqeGPXArDtzOwgA2bH0E3ieAWQEA\nf8dcv7jmSO9QvYZD2CDfuD0+LrHc0Z795Zwufj6W8N+CbPqn3Nja16ujCwBweKarnByLF7NV\nwnHTnygMx5psqSPmxx2gkHuSKoEEAFBw6FiS2sewQWUdf/lfm0ZFDOzavpnVVZUUxJVGNfV5\nhgIOvqCmy+dDNCnMzz28cjXx7q2Nx0losxYd9p0DJ905kHn8klqh9BwU6dAlqLmWhoiF0uMb\nLz19+CxQEVSkKhewBHKKPCbgoXeJt0+FD7V9kCJdqx2zau/pN26gSfcDS7bM2LT4dnIMnUr7\nfPi02uOSq1e0ibcf30z/6cpXzeXe/hdw82/2+45l1pKVN8G7ydtagCYgeN8IsWeF2LOUkXNG\nOcxVK/W/hmpASTiubrwxb8m6WClj3S8zrBMg9EKymauqHgFA6yX9ixITvTpU8FhAI4PcaDun\nBmXUoPpf/LkzQ1d81R1FEAqFyKf77qJWq9evX4+iKGrs9cVgMBQKhVqtJpPf63eBsrjksvgU\nlo2l94g+ZBoVAPzGDXSKCKlIeMq04TmGBzeXIBYAqtNydMcYgv8kiSuLUQBAjbBu4g9zHKzs\nHAollz75TtOAn/ZMVMHvv225pvgk52lqfqa3o3uzD58vwoq/NmnUGwBQwi+f9tPClB3X2tLR\nRHDcnP5YppDvuXw0PivJpP5xTmrjxmumfeli6yQUN9x/Gn/t8T0OgzV72NSREQMAoLzGVLA7\notuAqOCuqw9tqRYYZSTNLs1rPDKPY56w/eLD9ESxVBLePsSCbfreriPY0//OplM/n95ZLaiN\nCu62YJSpVDoyMDxjz22JXKpQKoNn9dMpTkK9A7sHdAYAEhk1lEpIxfLvRm7hl9QCQG2lcPnY\n37Y9/N7B08atvWNQpK9OoW5uzek1rguJjK48MXfP96cy4vOsHS0mLhny6klP7N2t7d2tX7SX\nSqG6cSS2KKvczd8xalwXMuXl7QMJ/gVSU1MBICioTS+Gr45KoRLUiGgM6o6lx19UvQEAOOAU\nGnns/AGHN1wwrK8uq2+uCwEBAQEBAcFr4cpnK160i7C4vPVGBAQEb4nr17Iw4y0vJqaSkihQ\nK4YB/ioSWgTARqFHeeETEstOLWpyEHNMXmL4wkclg1gBLOOgXxTO/DpgeA8XBIFugw5WGV61\nUgh1EuCxECdLvL09ZFRAo224BjVIlGqTSujnDzUSqNXPCsfh67V3zh0Y3ba7J3gfUWPqgV9/\nqIs259IpQpnSsAEF1es57FgMDzYJ+Kkgq4WOs03Sl5hEEKkw7Nf+4bMvxZpcMbNGEO5s6UAH\noDHbWbgM9naM2HfZRKLhwtVvXndxbH4FBlNBTToh4HgnYTtmltOjFyYDaL8Or6SJPpo3bPwI\nPwAoETZyHDXc+RDbagQcCpVi6NyVMTv3BfnbAACG4cOnnL79oEjT6uSF7FEr+0no1Ahn9mdh\ntlTSfzIs0tbF8uMfxu5doTX77fdhRJeBQQDQd3K387/fkIq1EqrwwcHWzrwXGrl/WC8ukyOU\naE04rM0so4K6tdzF5CFVUFjKZYaYtNl4/I+Nx/+YPWzqtrlrmxiCRAWUDJjB/02qkRLl2O3z\nGvWGhnupcY+fPe3UrqXVN563W7dvPmt55obgOL520u9Jt7ULxBHU7pld08RM8ahuAz+LmObq\n4cC1ZOdduVf5JIPrZNduTH8ynWYygqut0/UNR2UKOZVCqa9smLxAn/5QIVPeOBLzFgUcXQcH\nRwwLeXD+sUm9mRWnx8jXsLFB8C/zLy9AExC851DolOGf9T79q3a/Fieh+WRzU/UGiwoDAsDe\nDAAUDAZAg+HJdIolF5NZYLLckIB4lyBQALjR4YPOcCIRRKaqZxKK2NuxJ45sv/Kr7lQqsR34\nrkMikWbMmGFSmZWVlZmZGRgY+J6rN2I37IrdsFNz/GjL/glX9lA5LADgONpyHJtOBWKIuYdz\nXa72AZ5PU5XRjF4ETt+72DtWaliTfeZan5+/JlEpX+5Ys/HEH5rKD6JHHFz62yv6oMRnGkkr\nUvMzus4bfvTrba62rdiWTh8wYemuH3TFGQOacGVXqJQ9F456lJXc+JRcafr9AABd/EK8Hd0B\nYEh4n3WmpzqaNP5m0hdhPoG9O/YI+DjasD7Q3a/xyA0SEZ1K79k2I8POvsFHvt7WchsmjcGk\nMWJ+Pb/pxJ/ZJXkh3h3mj5pJJVPupcbtvnxUIpMO69ZvUvRIBEEy4/M06g0AQADkEkXcxeSR\nc/siKLL8+Jzzv9/MfJRv62o5ck4fC1suAFg785bsfTGDvdeOWoUtHbw5PVYrM7p5JHbtufnN\nJXMheBdISUkBAKFQ2L9///j4eARBoqOj165d265du9d+rSMb/jmy7oJKqUZa8VxvCaVcdXj9\nBZPKspxKmUROZ5q+ihIQEBAQEBC8FpRiqcYssDlwk60tAACgWeituzGVGiUTL/IEBO8Q1mam\nVp22ahEXk9fmyjk3kUlzw6/+eYP7NO+6kuGNSRt3l3GYfDvbZyoOuVqqUj0P7qoSwl8Pwz4O\nTyDrB7dC8BE9XTTHeYWNhNcqDABwFCDaF3G0wBMKQKoAmXZHDKWQfJzYkCoCssFLpRoDEgqI\naXx1XHYtEBA0T2J2qmGuAKUaRwHBDN5No9ztSoWSOqnc19qsh4vtkKM3f4wOGeULNZV5Tyv5\nbrZOrrZOoBRj5QnjXKiqaocrudpgRQcO49MQn+9uP6mRGi1Y2bHpQ72dAbS/kXQyaWqgZ3xZ\ntbYSAADiyrQZGEgIQie3uHiC/HtLK+/1uu1LkJlj+u2Tnl2jUmH1QrkTjxFtz7xZLtGeUKgh\nvQwsWVAjBgCg6mVoUqVk3jfXb5/9AAAyntXo1BsA0NAg3388DcJcT6TX3i8WnRjTSl7kd5aR\nc/tGDA/JTyuxc7N29XPQVDp42my+tezs1uu1lYKACO/hs5rO+a1DLJRSKGQqgwIAMemJ3+/f\nmFtWGOzZXiSVFPFLO7j7/vTJt1ZmrUhAbALbNZRU6Iq2QX79okZsOP57g8RUrrj9/P6ZAyd2\n9AowHQIhgUNXKLmnLaJkcOhqeF6X+VsHX2CaROYVqSys1qk3AABX4N+FLpy2cpRhG4/+PVo1\nxKNTaQAga2RDJDVO4P0vg6DIN4dmpcXkVOTz7T2sY/9Jfvak0M7NauyCATy7ZsMrCd5Z/s0F\naAICAgCYsXqMu79T/LWnp/PFWR18G9KrIbXUqBGd9dQAACAASURBVEWvdhr1BgAo2ztClmkc\nfDmZLQB6TQ+DX0AWDcI94FYmWLKhSi/4+OHbyK8+f9VMcARvEQzD5s6dq1arDZOqaFCpVLdv\n39YVy8v/n+O0ZHXCuI27dcXa7IKUfafD5n7Y9hG6fv1pacwThUgCAGSyaTI7FEXVxkurmFqN\nqVRpJTk69QYAHL55dnLv0QM7R73MPTzHydoeMoxqYtMTZ2xafH3D0ZY7fjluFpfJPnrrHIqi\nH0SPnDmwCQHHP3E3TNQbJBTlsjjzR868/uS+4Ss3CUU3z1qhUW80ia+z15bZq5bsWitTyClk\n8qqpX4b5BAKAv5vP0glz1h3V6i0mRo0Y3MXoHeFZaf6U9fNiMx7TKNTZw6Zu/PQ79PnbcoNE\n9PPpnQlZKW52TovHznKxeeEYCHuezcZPv9MVrybe6b90kub4xN0LeeWF309e0Dj2SFdBZ9LG\nLTL1vXsXSLiWqlNvAEDynczkO5kdo9u/xSkRtIxGAP3dd99FREQMHDgwKSnp1KlT169fv337\ndnBwsGFLiUQyfPhwXVEqbWIZtwXiL6ccWH1Oc/yy6o0m94YAADAMXzdl54qTn7/kwAQEBAQE\nBATNo1Yor81vKvLQgCZ/oSWV1X949XXv3z3vyj2lSOLUPbTP5q+5LvZvYpIEBAQvyqBh/i4L\n/y6Sa7OTsHGlk1pEAgxUIEjhV/1UYpdZggPiD2LMOPZDjSDxgSGC6EBco8oqqYO/U+B5fkN3\nJ7PYlT0++6dg1xM+joM7l3J6gnZlfv+xp1V8ieFQwGWApd6SE29nS3K1UEuUcC8H+ELgMpYt\njhAK5BCXBxHP9yvVGJxNZtiyu4Y73/wny3CwSlvzzGqZr9UbySFL8J/mUVbylzvWxGQkGFZK\nlSpLBk0nufCy4KzoEeTAZbiaaaPoPw3xiTpwZUQ7554LR6VX1QDA8nHTVwTQUKV4iq/1FN8+\nq+4lL7+dbEGn7h0WgaJQtmBcnUy2KTbjp4fajBnu5lwwhksjz7/yqB3PzMeSCwCZNYIFVx5p\nTqlxvLxB5mreTO4IlAJWjXaQ3xiEgOPF8PUylQs8y6s18/xFIlX6ePJ2bhkkK6h5WCYGsRyS\nS8COC9G+cDKRoSyVcvI17c1F5o7Fng2FyU9uBneMbl8vaLRx/ty342R6bZFA4WJmuiL8X8HG\nxdLGxTQdzP/YO++AJpI2jL+bnpDQe+8dVEDEhoJiw97b2U8/ez9Pz3b2U896nqeevYtdrNgr\nKAhSpBfpvQXSk/3+CCYhhKacis7vr513ZmdnNSS7M888r4WT8fx9Exo9tySvfPvPR949ScAI\nmN/IDoNW+fVePk4quUjPz7Q0MEs/+ao+n2clfNfNK4pLrvyQCwAsE4PumxdrG1s823n5j3N/\nv4qPyMjPUmwc9yFJhYADAKz7gJoBlCYBiQZG3sA0Vqzs3qYTwA5ZkUlXa9h+4xPgsJUlF5wm\nSC6EfFHozaiKYrZrZ3vFNCVGlnomtgY5KfK8MO37uAEAj8NPi86iM2mWLiafuRn0E3DpaOvS\n0RYAnH1aq24JIaXpE9BcLnfixImyYnV19ZceKwLxXYARsB5jO/YY21HzaOiyiHLoZk/UVyM+\nTREKxLj0y1zR78pEk9zZSvgiXbEHMRAKmFqgtBHHwRBoZMgoBiYNcspYZOK/O/uMGOj4Be4I\n8R+B4/isWbNCQkICAwMnTZqkVMvhcAICAr7GuL4CFR9ycEmtbSLlaVn1NVaJvpvDxNCglOBH\nYqHIqk/n29v+F5EszxQ7stsAOiUt48ErWcTctz2ZQY/NSFTqJzo9/jMFHMtGzQ4Ovc8T1HpW\nfBoTyhcKqOSG3iMIGGHmgAkzBzT0ZJ5VmKsUEUskZeyKTWf3bpm2PL+0MDknHQBcrRwvrT5g\nb2rT8FDnDZkyvufQ0PiI0PjIUnb57dePpPe+eeryMX6Do1Lj7E2tfZyUrfLGbJwt/bflCwU7\nLx2yNbacNXAiAIgl4n6/TXgeW5MTMOhp8LsDIfqan5Vqd+/Vo4rFPVeOrBq3wNHbWtdEqzin\nRrFNZVC8+7p9zlW+AEVZyrsOCutEEN8U5eXlDAbjwoULgYGBAIDj+Pr169esWTNp0qSoqFou\nOyKR6P79+598IcVdAZ9KQ++Jr+9Gv7wR2WmAsuMOAoFAIBCIzyTyn7NJV5qUKrEuvPLK+PO3\npMeZj1/fmvbb6HtHWm5oCATi0yFTSQ9vTRzp/1eJmMjARWaiCuJHobWGhF+QkgcAGOA4gAgI\nFKhJYpLvYJXh6lhuZSxP/GqqBa7G8C4bACgUwoqfHE+sudKNTl4yyptmoCVbZLwUnDhp7s3a\nIyCSezsJa/s1immUTmYshnsnbXXq5LZ6fWw1rtxMhsgsKKoCCx3gCyEhH6r43Lzy8FSqvplm\nYdZHSw8GGQrZfQecBIHYr4v5llXd9XUZ/8k/HKK1kVOcH7BsdEU1u26VTL1BIhCMWWp7whPO\nDpHvVDdi0ntYGj3NLIwvqtk2zyx9B0IXWYNVXdt0MtX3NNLRolEAgELEDNToW3t4CEWilPIq\nOpEwys0ytYxto8WSnXI7JTetrMrtwHUPQx0J4JH5JUKxfIPDpcSMRR3k/ddApALTGCz8Qa1x\n196WAgk4moejnc7C/7Xf+U+NGKedm8HZyzVb3pJSS0dNufL88RTbNS+BIwB/R+luV/0B7odH\ndh274iFbnK1XZuCVKE0JUfbboF1+s/s6+LnpaNNLShX2zZhryQ4Lq4WtV8DxOeydd0qaTxqX\n4A/PhUYRYhQNMzIKsl7Ehff26taUrjQsTSe8PJ8X9g7HcWNvdxKdBgBtrJ3PrPgrOPT+gFWT\nFBs7m9vV0w0GBh5goDyhLKWbu8/mqcvXnviTLxToaegcWrRVT0NZufKZmDsa6ZvrFGbKjT28\nejcycVxdyV3cY0tmQs322ZnbxwyYUbM8gBGwlWdm7pp1PDE8ncGijVjUp8tgz7hXKRvH/1Ne\nWAkA7l0d1l6cIzO/TYvOCtp5pyi7zLmDzcglfZma6EcX0RBNn4AWCoVBQUFfaZgIxHdI/86W\nN+atFpPJRKEQACSAzTg4Y8HhN5m1nd+Y+nSxhF9JkDucm4oq1cpKH/CEQCPLgvTSKu6dWPho\nwOjV3njkIKTeaMWIxeLp06cfOXKkY8eO586dq6vUpFKpW7bIs16UlpZu3br1y47xy6FlY06k\nUMQCuUmGrnOz9aNqhrptpo2QHl9bd+SXQxuexoQZ6xj8Nnaej5MHOLbjFJa+OxwkrOZZ9uzo\nv+0XAKhrUGFvav0Z9wEA4GXvHn3wfr8VP6XkZsjHRmNQSOT6T2oq9YmS+ULBlnN/Z599E5Oe\nQKfSHExtmqj9reZxJm1dJDWr23Zh/8px89dPWgoA7tZO7tYqMqcUV5QqKmMA4G74E6mA421y\nrEy9AQD5pUXnH9+YO3hyk29OBcUVtVQOFdVsgUhIZ9LWX553aEVQSlSmkZXehNWDTe0MP+cq\nXwA7D0vlSLuvli0R0RSuXr2K47js7wjDsFWrVgUFBb179y4uLs7FRT55xGKxSkvlH9SMjAwP\nD9VvqSr5Aq9yd44+QwIOBAKBQCBanJxXUY03ahr5b+M4RaUMveZlNkcgEP8RNm5mvq6aieHp\ndatwUY1iAwMsl8iyFJUDQLabQ0wfVUbsejXr03MGWl3+7bT0OGjnnW13fgEPCwCIjCmYufSe\n8llCsa+V5gOOsj1fdFSe06Nwpg4NFnQXWXrs+CcMACC7DLJrudFXsvmeXS0L/Z3gRSqkFAJH\nCGlFGQAAcPRsTGpG+ZNrY5v6D4H4rrn95pFK9YYiIonkWVZ+1bKaz4wYxyNyS7gisT6D5mWk\nHT4t0JjJIGDAEYoVz8IAulkYkAnKmU0C7c0CToUAQFB8ppu+5tGBnT2NdKqFoq0v4oLiPwCA\nQCwJzSmqO4wr8Vm1BBwECph2AQs/wL50DjIk4Gg2O9b5jxzkGB6V72pFwbOfl+ZzItIIe25S\nq/lYfmH12/gSMFAHA7klSyGDuiwMC153sc+oU9ZleThwZbObN/++/8uRJBMjlqkxKzuXTaWS\n+J7msm2yugySqz79i9/flyYiJC7y8XuWllrA+M7SfBm4BI96UssJOjMpV+mjKhKLmn4JEpVi\n5tu+brxfB/+BHXtdf1XzozWj/3gPu0/cTvfr6NlzB0/OKy200Dcl/wcZ5Ulk4qozM3fNPpH6\nLlNNnT76l0DvxgQc1/5+IFNvAMC/vwX1+qkzlVGjB7JwMt75aDmfI6DQydKJwj+nHy0rrJR+\nOKOfJV74886EVYMAIDetcGmvrdxqPgC8D02Jf5269c5SjKA8R8/mVAWH3a/icgI8u1oamAHi\nB6bpE9BMJjM1NVVWzMrK6t69+xceLQLxPWFmbzjjj1FHVl8SAhBJhPHL+g8Z43HyWqQkJjHb\nTZ7DyDIiVlOQH0Ux4GBkKi6yEZVpSXgAoH4/mt2nLf7Rh4Orw4R+bnDjnVT6v3x+R1XXRHwr\nBAcH//rrr4qRt2/fUig1v/scDmfkyJE3b9709/e/du0ak8ms2wOVSl22bJmsmJaW9h0LOCgs\nte6bFz1e/qdYIAQAk47t3CYO/pwOTXQNTy//q1YIwzr+Or3jr9NxiQT7+BrZ3qHNTz2Hnbx/\nSVoM8PQd2LEFXE/sTKx2zfq9/0q5qdXMARM+x01NIBImZacZaOl2dPb8bey8jWf2AACGYbhC\nMpGCsqKKarZq77r62XPliGKqwS3n9v06erYard4VZTUag0QkKT75qzOYSdlpOy4djEqJU2qs\nJL+oj6TstBuhIVQyZVjXQCNtfcUqv7adQuPfyoqdXbykLiYWziYbri5oSuffCA5eVqOW9Du/\n/RYAkMjE0b8EWruj5/Nvgga+q5X+ZjEM8/b2jo2NTU9PV3x+xjBMS0u+5aOsTDmbZ8P4j+5w\n9o9gsUg5U3UL8sWdHBEIBAKB+CFg6GnVV0WiUkV8ZfPmhsAwIvVH3DKKQHyzDJ0bsHniQZVV\nGJGAiyUAOAcjxZN1DcTVae3qSY5ZWbNLPOFepCwm4ArPbbu56uys0jJe39FBRSUcpZPMO1sd\n/7nNovuZF+LkL9QULq/9lds0LpefB3umJT2+7v08rATq4XlckeYIs3KusG7V01dZuflVxoYq\n5qAQPxpNXNLFcchhc2y1WMVcfsCpkHcFZQCgQ6fO7eDoYahq2zwOYhz/OzxRIMaX+Dgrvo3m\nsuWf9pjCcq9/b7KoZI5AJMZxfS3dwrLi+sagw6DWKpPpYNmzKYNvcZCA41Pw8TT2cdeAiL1g\nWQmWMMwH+rQV+69liCWYq6GarTYtpbRWeov3RVy6qXXCs1mLu22oLpSbbVBxMQDk5LF/GuGy\nZVV3XR3GsofZe18XiHHcmEU5OdiaRlIWDX1nnN584/SmG9LjS7vv7Xm+0tBCFyNgDCZNoPCN\n78SwC8ciuPyaf1VDbb3OLioEGc2FgBGu/n74/ttnidmp7WxdP6FPDpuXnZSvY6ypY6SpRmPY\nGls23L6ax/nf7l+jUuNsjS0PzN+ir6XX9GvZtDHf+3wlj8On0ilNmZHPTs5XLAr5ovyMIgvn\nWqnBZXqOypKq/IwixU5lks8nQW+k6g0pca9SMhPzLJxqJZHJLMzpNH9QTnE+ANAo1PMr9w/s\n2Kvpt4ZopXz+BDSBQLC2/tydxwgEQpFBs3p0H+mdnVxgbK2vZaAOACeP/DS+0yadrPw8O0uJ\nBNd6n0FKL0gma6lLeD7CHMVzHUuzC9/Rykz0DZPSddNziqzNUn3ajZrW3pAE44e7tHP7cgZx\niE+gvLw8Lq7WerbkY4qQsrKyvn37hoWFjR49+vjx4zJVxw+O28Qh5t3a54XHqhnqmXZqh9WR\n6rcUSj2fWLZ7XI+h71Lj7E2tB3bqRcBa4Lpvk2O2nv+bTqNRSRQ7E+tpfcdM7Tv6k3t7GPVi\n/Oa5eaWFBIwwo//4fXM3Tg8cl5yTfvL+5eP3LsiaaTI1dNTrnUSuj8zCWl87IrEopzi/ARsS\nOpU2vsfQYwrXHdAxoMPc/uVVlXUb+7fr3OgAgkPvD183nS8UAMCKI38823m5jbV88mvVuAWJ\nWamXn98GAA87t8OL/2y0w6yi3Nl7frsf+UyLqbFo+PTFw2c0esqXYeKawX0md81KyLNwMtYz\nQ9srvxVUfleLRKKkpCQcxxWfkwFAKBQCAJ3ekps6DC31Vp+fs2bYnhbsU4kuQzz/u84RCAQC\ngfhhaTNtZOKleyK+oG6VWKgi2AB2A/yo6mg9FYH4hug61ItMJa8fsx/HlZXWuFhCIpFEIpGj\nqOQDXbfc1lGswVLRBZvHepdGlAg9u9jC46eKNUXZpQDwLCyroKh2+nIqCbo7ZNrpm20KIxEw\noFNAgkNaMRRVmlcX0bjydczo62/IdAsh1LEfYNGgvaXQXKucJ4ZAVzjzGqqUxWSi/1I7jmhF\ndHVtj0mzATVGRG6Jnbb68odvpeoNACjnCdQp9bjMYkDEsPneTgBQLRSpkeWah5PRaUpt2Xwh\nADiZmE/q99OyQxtlcSZdrYor/+uY7eVQ6zTiV5tHRQKOT6UoBgTyeUNfZ5GnjYRlaO1oq31F\ng977dEIuu5biTCzBzU3Vu/RxvXviuSxYSqwR8kTGFEplaDt7m6/uZlxYLbLWopLrmBx8Zwj5\novPbb8uKVeWcq3/d/9+20QDQb2q3M1uCZVU//TxksHGP5Yc3J+eke9m775i5RpOprqLH5oNh\nWICnb4Cnb3NPLMoqPbf95sMzoXyeEAAGzfSfsbWRiXKRWGQx1ruEXQ4AsemJd14/zjkXoa2u\n2azr0pTEX/Vj7lhLY0GhkY2s9OtrzNRk0BhUHkf++6pnUjMjz2FzlRpzKpUjv5/cKVVvAABP\nwJ+3bzUScPwIfPUJaAQCoRINXZaGrvxdTo1BuRSxOjwktji33NDRpMPwDyKKEQBQcbGtqJyC\n15jO8dXob8YNwIkEAOBoahgmZtiERpF5/J9PTu1u2TK/uYj/lPHjx48fP75unMfj9e/fPyws\nbNGiRdu3b/8cV4bvDw1LUw1L0wYacEvKCt8l0vW09N0cGmjWXHp7dWtiKsCmUF5VGbhyQn5p\nEQBwgRebkdC9TUci4RN9HQUi4egNs6QmGRJcsv/GCR8njwkBw/U0dCKSY+hUKvfj3r7yqoqj\nd89P7j2qWf172btfeHJDVtRR17I2Mm/4lP3zN9ubWt+LeKLF1JgzePLLuPC66g06lfb7hMXd\n3H0aHcAvhzbyP05wszlVq49tv7ZOnv+bTqVdWnOopLKsmscx1zepp49ajN4462VcOABw+bwl\nB9Yb6xiM8fssN5cWxMBcx8C8hRM7Ij4Tld/VZWVlrq6upqammZmZsqBYLA4LCyORSG3btm3Z\nMbh2ri9taAtAppI8/OtkC0YgEAgEAtFccLwqr4imo0n6aJWh7+4w+t7RoAEz+JVVym0lOIlG\nFfGaZMLBNNLvtXd1C48WgUB8Nj6Bbab/MfLAL+fqVolEoim/D3maUh3zLL8op0qzrJpnJF9R\nZhWVmkcnmiSkEjk8ANBNrGbYGWYm5Moa2HtaAQBBaToIAxjcVpp1BVej1qxlEjCw1YO4XHpq\nZq3GgNMlIqHSPAOZCIPagubH2X4KCfq6QhEbHifJmnh7GJmboklFBADAoVtn1cjkKoEKpxYl\nLDSZAHAjKVsWYVBIJIwAOIDCp/hlVmE7Qx06+ePHEgc1MqlKICqs5lUJRWueRN1PzwNV9HWy\n/8UeIwzq+8fDF9V8gbu10+W1/956/fBm2AMGlTY9cHw3/gvgKljOmLXYDF5zQQKOT0VYrRRw\nV2PPWdQew8BVn35tlH37f+XrmrbatHZGagAwed3QzMS8+LBUAGATKHHkGgMGG0v5Kr4WjaRF\n+yH+X8oLK0UCuW0ODlCYVWPTNPbX/jrGmg/Ph5bnVxpZ6wFAn/bd+3r7fZ2B1iHs9rtNEw4K\nefLvmmv7H7r7Onbs39Dk2r+3z0nVG1J4Qv7K41v/nrupWZd+EPn8ZVy4ia7hGL/BdCqtgZaD\nZvo/vxKeFpMNACQKafofoyj0elOhE4iEMb8GHl19WVqkM0jD+lRC/Dkw7eLRw+XSbnlqNG1D\nDWs3ZQfm+MxkxeKHguxqHqcBN2zE98G3MAGNQCCaAoFI8O7jLj3+Y1X3xWseAgAfI8bbuOhQ\neYxKdpWORkonT6l6AwCENEqat7vrvecm71PaGqAv89bNihUrXr58+fPPP//5Z+NeAghFUoIf\n3Z39u7CaCwCWPToOOLmNWJ/e/6vy8n24VL0hhcvn3Xr9sAFPi4aJz0xWTHECAE9jwkb49u84\nb+C7tPdKjXdfPtxcAce8IVND3j4LiXgKABpqrGNLd5KIjbz40CjU5WPmLB8zR1q88SpEqcHF\nVQcCfXrSKI2rnHEcT8v7oBhJzlGRZlhHXauJ5iJFFSVS9YaMay/vfTsCDkRrQUtLy9/f/8GD\nB/v27Zs9e7Y0uHnz5qSkpAkTJujotLAKh8ag0JlUbp29cXWpPT/WJIR80b2TL8YsC/y0sSEQ\nCAQCgQCAnNCouzPXVGblEylkr/kTOi6bzi0pizx4Ie32s7rqDSlNVG8AgEQsJquh7VUIxLfI\noJn+BUBdt/K2tbCciSs66+Avn6bsfVmTD6IoOJYQ4CSx1AUAvfRs95uPKVx5QoDi7DIrF4aO\nsWZJbjkA2LQxn7BqEAB09THT1mWUFn9MKqHLlKo3VGCuVZlOAbE8gJFI1RgFAIBEAEMNKGSD\nQARGGnL1hhQDdTBQBwIGEZkkgZBuqWs4rF1aGd9aq6l7khHfMY/evWyKeqO3jQmLQrmdklOk\nkBaAzRd+qKy20FCTRZJKKrsev2uurvZwQoCVJgsAAAPAgUkh2e67VVDFq9uzMYvew9JIKMFX\nttOFyswl7rpL2o0Cz3lA0wKAaX3HTOs7pqapwBUSg6AyE4gUMPcHA4/PuvPP4IcQCnwaxTll\n2ckFJrb6eqbKlrPssuq7x5KHK8gJuDy8Or6U8HEbq5ex2qURdmueZGdVCDqaMXf2sqASMQBQ\n12FuD/klL63o9v2U2etf8AUSAFBjkNf+0uWTxxlxP+7Y2iu5qYU2bcymbxll27aRTWzfDrqm\nWloG6mUFNVvoMAAHL0vpMYFIcOti/+/yIG41Pye1MDwkbsTCPpPXDf1qY63N/iXnFNUbUt6H\npjQs4EjMSlGKpOdlqmxZH0sPbtge9I/0eNuFf17/FRyVGrfkwIaY9CRtmun0HnN+mzGYSKyZ\nZKMzabue/BYeEltRzHbpaGtqZ9hw5yMW9rF2M3v7II5RFd2rm0hPMw+K8qAkvp33zOlbRp7a\neJ3D5pk7Gi34e6Is8YoMJ3O7V+8jZEVzfROk3vhh+cIT0AgEorksmtm+j79VaESusSGTY6g5\n7KLyb5NGfrHl2zi10nIAoGCgTvnOs7l93+Tn5+/btw8AoqOju3fvrlQbHBzMZCLjXNWIBYJ7\nc9dL1RsAkPHgVfTRy+1mNE+s8GWoa7bxyfYbAGCgqZzgT19TJ+hpcF31BgAUltebMbQ+qGTK\nvS1nIlNiiytKvRzaaDE1mtuDf7vOuy7/Kyvqamj38fZrinoDADAMc7NyDE+KlkXa2NSTPLhp\nkIlkDMNwBQ9QcmN6FARCJXv37u3cufOcOXNu3brl5OT0+vXrZ8+eOTk57dixo8WvhWHY8IV9\nTq6/1njLT+q/NL+88UYIBAKBQCDqQcTjB09Yxi0tBwCxQBi27bCWtfnLTfsrs/IbObNp0ktu\ncVl1frGaoW5LDBaBQLQwI8d6bTwUnftBZC8oVQhjKfEFdJzOxUgAAHyRJDjGSptoW5xBUpVW\nKSsp/2zGzri3HzRZVNu25gQiQSzGj52LUWdSynhiXIKDFgO62tY7CKE4i6SuJ6nWE3MBQIxh\n3j/53TqXBgCAA2TXZLUAUj0zD87G4GwsAmADXM/jxpxKiJ7hyqR8+jQF4vuARm583sbdQOtx\nRp7bgWs1cgwFovJLLbTUQSKW4HhYTvG04FcSHM+oqJp/L/z6SD8AuJ+edzAiqVIg7GZueDc1\np4JfawG3h5XRtVF+iglWADAQ86EoWoXBBoUJbpM/8T5bFDTBpJqzW2+e2XxDLJIQSYTRSwPH\nrRigWLvzf8dCb72ryqSPG6tGJkNlJb5nD5svouqZydcmhzppDXVSsXMLwzBjG/2pNvrevnbB\n91IpZMKowU6mxvWI3RojJ6Vgw7j9fI4AAGJfJK8ZvudgxDo1jdaxdo5h2JKDU7ZMOsQuqwaA\ndn5OQ+YEyGqv73/IVdBYXfkrZNyKARTa19/4yOcICjNL6sa1DRtJhjKwY4DidDMA9GnfvenX\nzS0pkKk3ACAhK2Vb0D+7Lv/L5lQBQI4gcc3FpWGh7ODjE2RuWCQy0adfG+kxjuP5GcUAYGip\nW599umdPF0+7XPggAfi4XCcRQsHbwbP7DZrZg1PFU1NXLdBe89PCu+GPpVlUaBTq3jnrm35f\niO+PLzkBjUAgPgFnB11nh5rJmm0BZstCsiRFVaBBAwqJVVTa4dwNorBGkCoWCJ9cfOM3qsPX\nGyziswgNDRUIBAAQFhZWt1YkEtUNIqSUp2YJ2LX89goiVSgYvgU6OXua65tkFuZIiywGs79P\nj0/uzVBbb3yPoace1LiyaaixpgeOOxlySWVjNrfqzpvHzXqgldLO1rUpzbh8XkJWiq6Gtpme\nPDPgAJ+A1eMXbjn3l0AkNNMzPv7Lrvp0wziObw/659/bZwVC4cBOAZum/KpGY+yds6H3r2Mr\nOVUAoMlUXzthUXMHr4gmU71/h543QuWmION7DvucDhE/LE5OThEREWvXrr17925ISIixsfHi\nxYtXrVqlodFskVNTGPNL4KsbUSlRHxpv2nxcOv2HKVoQCERd8kuLtpz7Kyo1zsHMZvmYOZYG\nyp6pCASiFSFgV18dvVCq3pARe/p64+oNpNw/kwAAIABJREFUaKr0EpdIIvaf8f193icNEIFA\n/LdoalCfXBu78c9XOUevgkQii3NLKvmEWjtwSiuEKtUbOAbpvTsa7IutFko6mTGPWAocdGj/\nW3r331PvaloQCeBrDzpqdc8FABCIIbFAAlg4xVhDwqeCqAKjPbqU7t/V4uHzDyCWDwnyK4Av\nAmojS8zpZfwXWVW9bf6T9xpEK6Kaz6kbVJJpRBd8lAd9DJOJ5J4eXYory3bH5NPojPUPwyML\nSjgKiR2Ck7L2vUmw0mIFnn0gCw53Mr8YX2vz/J7e7WurNz4iVvFH9O2ABBwqSIvOku1HEYsk\npzffaN/bzd7TUhrhcfiv78YAwIUL3BvXeTq6xPwCsUiIA8DiHpv3vVytqa8OALgEv3Xk6bMr\n4RiG+Y3qEDC+k9KquZuTnpuT8ha35hJ+L1aq3pBSVlAZF5rq3dvtM7v9YrTzdz4atzkl8gNT\nS83arVYO8tL8CsWiSCiuKGLrmSm7ocjIKMias3flk+hQAy3d5aPnTJXZ3bQEkSmxf148UFhe\n0sW1/eLhM/TNdZQ0HLomWj3GdpQeZxflLTm4/llMmJG2wW/j5g3p3Eca92vbebhv4MWnN6VF\nHyeP+UOmNX0M6fnKdh3PY15L1Rs1EHm3Qp++je7l2UbZbKOsoHL9mL8T3qQBgIOX1epzs7UM\n6sk9lh+lHBFxAQAjYPWpNwDAXN8k/vDj4LD7VVxOL09fC4OG0skjvnu+8AQ0AoH4HJZ0NOpq\nzho373bqi3Lo42IakyhTbwAA4LB33skugz3Jjb2PIb5NBg8erOgNgGg6LFNDjEDAFaZL1M2N\nvuJ4GoDFYN7dcvrXfzdHJEfbm1ivm7TEyrBxQz6RWHTy/qWo1DgbI8upfUcraiCOLt3RxdX7\nWWyYgZbenEGTLA3MPO3dVXZSxeWMWD8j8ehTYx2DFrufjzyMejF205yCsiIAGNdjyPFfdsmc\nRX6fuHjZ6FlF5SVm+sYETIVL0J03j5ccXJeYlSoS13yh7blypIrLObx4OwDwRTX7MMqrKjec\n2n3y1z2yE9mcqv03TiRkpbpbO00PHMegNm4ufWLZ7jUntodEPNNiaSwc+nNvr6+WGxXR2rGy\nsjp+/PgXu1w7P8dPFXA0tL233xTfbsPbf/KoEAhEc6nmcbxm95Vup3kSHXoz7MG7AyFNTASG\nQCC+QV6s/zs37J1SUFCpnMm9cRp040i/+xwJOBCIbxZLM41Du/pEBJptmXywuoILAJ4BLuEP\n4ukUUTUm395ME3BVnp7YzTvdyRGEEgB4mVU1Iijl1QSHI2fkPpQglkBMDnS3l0eEYihiA5NG\nKa0ShKZDBRcwDDC8AqgAVAAAIf7wWZ13B44AbsdBd3vlRCp1WP80p6MpU52KTDh+XHAcT1OV\njoBJIbPrz6tib2rdy8v38K1zXAHv/DDftfdfh+YUKbXBcVh4L7yzWa2l9htJ2VQigf9Rb0TE\nMAfdelamtL7p7QdoOl4FyZHKX0ZJEekyAYciXB6enS0X+5QVVN45/nz0Qn8QVF45FP7vyqvS\n+LsnCXyOYMAMv7o9fAIf4nMv7b5bklvu0N66rtkGoR5zhW8WBovm7utQN+7YwfrljUhZUc9U\nW9e03ldQHMcHr54q9Xau4lZP27HURNfoE7YDquT9h6QuC4Zw+FwACIl4+ibx3W/bFm6ZeFDA\nEwIAlU7tO6XrqCV91bXVAECCSwatmfI2OQYAcksKhq6d9nzXlc4uNXNYQasOvM9IDol80tHZ\ny9uhoXwrdXEyt6OQyAKR/OvM3MCkTivsQ3ZlXQHHwV/PS9UbAJAYnn5g2flfj/2s+jK4WDmi\nZa+qnTIsBhMl/EbI+MIT0AgE4nPoYMKMPzds/7HIKw/SqpNzlWp5HEFuWqGFk7HKcxGI7xUK\nS81r7k9vdtf8lqkZ6LaZNuLrDqkBHM1sr/5+uOntcRwftHrKrdcPpcV/b58J2xtMp9KkRRKR\nNKP/+Bn9x8va9/P2/7nf2EO3zgAAkUgUi+WPi1Xc6qfRoaP9BrXAbSggEovGbJwtS9Fy+sGV\nTs5eswZOlDVgUOn1KYZTcjOG/f6z9NFdkaCnwYcWbT18+yxfIDf5O/Pw6r55G9UZLADgCfhd\nFg6JTouXVl14cuPJn5fIpEbelzWZ6rtnrWvm/SEQX5+h83oF7boLn6Lxq2fCAcOOxWzSt0AJ\nExGIL8qAlZOk6g0pOcX5waH3J/b6dh9aEAhEw2Q9D68bLIlXznzaOA2uD4gF3/SGYwQCAQCe\nAS7H3m9JfZeprs20dDEZrDfbUVASSTGQYBgAkEBiJ6rxKhBRyCkdPSyi4sg8QZG16QcPF8V+\nYgo5sdlsiaT2c3/FRy+EKj48SIDsMsBx0FF7f3tcYo7r5oiSF+UCXIxDXB48T4aP55JJRKGo\n9uJRdimcfwOj2jes4XiRVbU0JOtAf8tP/+dAtHIwDDPWMUjNVV55V6MQGxBwJGWnJWXXLGv6\nmOpF5D+r6a22b4dQIsmv5imeyFe0igEQ43hyaaWjTm0NB5kBlr1Aw7J5d/JlQXnNVaBroiwU\nUDR+oBF5Xj1doB5sNBLh1UYI39XL/rmPD0UW//e3oKEGc1cO3pWTUgAAVQJxYXW9n8sGyM8o\nWtxjy/3TryIfxZ/bevPFtQg6k6Y4TpdO9SevalUMntnDJ7BG4qBtqLH08NT6En8AQHp+llJm\n7isvbrfUSI6HXFScAg4OvW/SXu9AxLq5e8b/cnjambRt07eM1NCtSYKTkpMhVW/ICHoSrFh0\ntrSbP2Rac9UbAKDN0twzez2VXPOh6uvtt27iEiZNIfmOiAFsUw93+Q5Idln12T9u7vzfsfCQ\nWMWuYl8k1X+Z2oozlinotRpDFwQCgUB8GmQyYd7Pno/OjRjSw0YxLiQKq9XZBmgxBvFD0nnV\nrMHnd3nNm+C7fsFPz8+q6X8/fwivE6Nk6g0AiElPuPjsZsOnHFy49f3hRzfWH9v280qlKhZD\n7uPKFwrS8jKFn52dJzX3g0y9IeVh1Ismnnsv/Eld9QYASN1oKhXt6wAkuITNqdnReDPsgUy9\nAQCv3kc8fveyWcNGIFoRGrqsvpO7tmCHw+f1QuoNBOILk5iV+qjOT1V5deVXGQwCgWgRaFoq\ntgiLhSKDNo4YocXWcZBNIwLRKlBTp7t3dbB0MQGA7iO89SXVXfjZjsISZ2GxLy+TJanZmUAU\nijLauz6ePjpk3oSo/v4SYi2jCwzA3lzd1JhVq2srXQAAoRiCoyGrFHAcAMiVPBtLrd0Z3Ofl\nQhwwIBLA3QTayg0+J49RyIVKIYKZFrgYwwjPRh04AOB2SnmjbRDfNyvGzJUeOOhq+Jrra9Io\nNBJpe9+uQ53qNZGlkuQfZvt9Vwkf9QyB9sr7eTqb1nLgsNBQuzWmx4nBXbyM9Kb1HbNg6DSw\nDgTCRwMbshp4zIGOK8HI+7Nv678FOXCooJ2fk2tnu9gXydKiUwcbrwA3AIDKLEg8D9zSRVMI\nh2mWEWFlNAa1KKdMyK+RYnh6kts7FknFP0w1WLqUNWlSGZstAQAhXyQE0dsH79eM+Eu0auKJ\n2FIcwNNI7ewwGzttmsphqOTRhdcctlxMlPA6bdmRabePPctLK7JpYz553VBFPUerhkQhrT43\nKy+9qLK0ysrZlEInN9SYqOy/RCK22Ge7vKpCKVLGrnC3duo72bdu47oT1iKx+PWd6IqSKpeO\ntsbW+iovkVtSUMausDe1rrvJLzEi/Z8l59Jisgwt9aasH5p49OmbxHcmuoYdnT0B4MG2s0NX\nLM0pzQSeDrm465/r+1ua1TzoV1dy5/tuys9Q9hQCAGmWH9VYB4KIDyXvATDQcwG7obIasUhC\nJCHJFwKBQHzP/Hr852ou5+2dGk0kWUwupZewhVU0qWUiAvGDYdmjo2WPjl97FC1PVqGy105m\nYU6jZzmZ2zmZ2xVXlG67sD+vtFAatDW27N6m5p9o3/Vjyw5tquZxtFmaf8/bNKr7wE8eoYGW\nHoZhijPLIRFPS9nl2izNRs8lk1S/NQzr2o+AEXp5+l54ckMWdLV0MNGt8a7LKy1QOiWnpAm5\nxhGIVsvM7WPz04sjH8XXU9+g97oC9p6Wwxf07jzIowXHhkAgmkJWkfIPOolI9G/bWXVrbjGU\nJgJGBBEPShMBAyCzAMOApgMmnYDCVH0WAoH4srhPHlo3hQoAFMYmW/fpmnrrSYtchVtUhosl\nGBFN8yIQrYY5u8Zp6qs/PB9mTSTgErwwq8YJAwcsk6RhFhlPFItKzYwrDHWVThzurF2UU9m9\nk/nFG4k8vggAQFsNzHWgWgBqFGhnBiE1rwM21lollfyHCaVAVlhrs9CGtx8AoKuP6d9be5/I\n4vA4IqCTwc4AaCQ6jt+d7Ox7LB6khgf1f6uokVH+lB+dKX1GWxqYEhLOdzdhAYBIIiESCRmV\notOR7+s7RaDg+MJXONajUx11NBJKatZte1oZ7e3bQSCWnI5Nl+C4g676nbE9LTWYADDCyeJl\nTomHhaYmtQosJgK3CDAS6DoDqXHV0bcAEnCogEAkbLq+8P6ZVx/ic80djXqO7UQkEQCXQPxp\n4FcCgDpTsnB6FewYD/ptTqy/em7rballi4dHrYQmdBpma0uKjBQAgLMzOT5eiOOQm1Lw9k4M\nVU+bR6VH5FVPuJr2aopz08dWLXM3+oi+uc6Wm4s/956/VYys9Iys9BptZq5v0sXV+3nsa1lk\nTMs5Offy7Hbw5mlZ0UzP2MlcdWKkUnb56I3/UwrmXihdG/UXAJAopLm7xwWMr/UuLRSJJmyd\nf+7RNQCwMDA9v3J/B8d2stqqcs7vI/4qL2IDQFZi3uaJB/c+WzncN1DWwNuxbfblkJT0srQP\n5W5OekYG8lfu51ciVKo3AGDYvF713i2JBs5jQSICDAOs5mc19GbUoeVBeelFFk7G/9s2uk03\nx3pPRyAQCERrBsMwmjMZ7sgjBgWGB3ec++332V9vUAgE4lMQcrjhe05mPn1D02B5zBxj5tte\nVuVhp+yvpvj82TC6GtpPdlzacHp3Unaam5XjqvEL1GgMAIhIjp6zt8aco5RdPnn7oo7Onub6\ndfP9qaCax1l8YF3Qk2AigTghYPimqb9qMtVHdR8ofUKWUsmpOhFyccHQabIIl8+TpX1RJLBD\nDy2mRtlHBTaJQNTT1B7cue8f01YAwJQ+oxOz0/ZcOcwXCto7tDn+yy7ZiVJ5tCI+TmhBGvE9\nQyITN15fuGLQrqiHKqfMmpqbte9k3y6Dlf98EAjEF8Dd2olKpvCF8lQI/+s/wc1K1YxNXhik\n3AD8o5u0okALB8gLBfcpwFSdmwyBQHwxCiLfv9mlOh8xLha3lHoDAIhUClJvIBCtCxKFNGnt\nkElrhwDAlkmHCrNKpPEPRA1DUZXFgxpHrvc9O31oJ19tdNemLnFUb+d/jMNVyAZQWg2nQgEA\nNOjgKTc/SC/j6dntwnWZ4GYGdnpSGYezjZb/VA8XR93JY9yLCipE8fkw1EMm1DDOKnbTZ2AA\neHQOhKXDdN/6Uj4g/QYCAPwNycCuMYMhEQiAg5kaUVg73YkiKt2iWDTa6dj0tLlDz8SkJZey\n2xlpT21rRyESTgzusj/QZ2dExkofeZIKGonob6EPUA2FUVAcC05jQac1LW4iAYdqSBRSn0m1\nDUW5RVL1hpzyFNBvc//0K9kHqahIAFBry1dlpYREgq5dqXPnMv/ZX/X4frUbKbPX5S0AEGvt\ndrrXhLBsYAvELEpTv8Da+Tlf3hMiK2rqq1u7mTX79r5HhpACM4ryStVLKELq5I6juri2mPvN\n0C59ezC7Pap8JiFImFxmQFUPIqb6h2jD6d2xGfLsJGQS6X+Ok1L+rdkSIRKI/l581m9kBxJF\n/ne35+ph2dz0h4LssZtmp56QG2C+D0uVqjekCLjCN3djzRyMlK5ra6Vla6Wc96c0X9k4pJ2f\nk765ju+w9u38nBq5Z4J8hDkpBVsmHxJwhQDwIT53/Zi/D0Vu0DKo38MDgUAgEK2ZyrwqpciL\nHe/WJexbeWYmAU3xIBCth3tz1ydfeyA9Tg95MTL4oLFPG2nR2sh8z+z1Sw6sE4iEALBo+PSe\nHl05fO7aEzuuPL9No1Cn9Bm9YOi0+tIX2plYKeoepDyNDlMscvm8l3HhTRRwLD244UDwKenx\nnxcP0Km09ZOWTus7WlHAAQA5xTV+GIdvn11+eEtRRYmrpcPBhVuVhBfGOgb3t55bfXx7Unaa\nu7XTxsnLHMzkyaEwDNv6828bJy+r5nE0mbUeaD3t3LdMW7H62DaBSEijULdNX+lo9p3kpkQg\nGmDTtQWJb9J/H72vvPBT0i4YWup1GYLUGwjE10Ai1K94t39IwOwr97hCIQBM7jNqz+x1AAAi\nHqTegOI4wAhg4AE6zpB8vdYcuOIvPAYg4sHb/WDbD4zrce9AIBD/PYUxiUH9Z4j4gsabfjbf\npcsgAvHjMGxer9CbUQKeEABImJiGyyzhcYcnrzM19XAcwFgLaKToJ+ljToTWUm8AABEDW33Q\nZEBpNbxMk4X5hVXgYgx+DoptGVqMvb+051bx/phwIPRmVABA9sm89+7uYm0mVPKczJmaNOJo\nV52zPBE4GtZSb9S284sp5OayBcYsSsv+UyBaGexspQCJgA1xtr6fntf0PiSACcQSCeBLO7kq\nVamRiEUVZfWfKYL409BuFqgpL7B+syABR5MhMepGqso5xTnyD8Tjx7wxY1ksNbliaOefGoBh\n0rQYHh6U/MdJOoSa9XjXtJj+L2/c7DmK3py0FJ49XaasH3ZmczCPwze21l90YBKV8bnfevml\nRTklefYm1ooZrFsXsS+T7/8T5gY1uwkTYjMzpuZI04N9PvFhqZT7ar2w3kKSkCKk5EHJm3sx\nHfq2qdtSMW02AAhFIp1CvRSQe1ryOYK8jGIze0NZ5HnsG8VT0vIys4vyTPVqvkHIdaSJpCZr\nfZw62CgWKTTyon8m6xg37jutROSjeIHCbzyHzYt9kdR1qFdz+0EgEAhEq6Cbf4fYs6kfDDIs\nCixlwdBb7x5feO0/xufrjQuBQDQDfmVV8vWHipG4c8FSAUdRRUlydvqo7gNG+PZ/n5lkY2Rh\nYWAKAIv++V2molj0z+/VfM7KsfObeDkcxwkEZbWHhlpT9b5XX9xRLF5+fnv9pKVtbVwZVDqH\nz5XFO7l4AcDLuPBpO5ZKI7EZiYPXTE05/lzpLcbDzi14g+rNi1LIJJKSekPKslGzpvYZnZKb\n4WBmo8VUkYAcgfgucWhvdSpp62TX5UXZ9c921UZNg27vaeXcwWbA//zV1FuH/SwC8b2RcgPy\nwyc76PSfNySmsNzca6ytc8+aqtRgKIisOc55CTmv6tnBqAgOKTeBXw1W9Tu2IhCI/4yKjOzb\n01Z+GfUGiUHz+2PpF7gQAoH4j7DzsNj7YtW9E8+5bN7ZM1Eg028ARhSKaMFRXIwEFCJo0KG4\nKk3pEYCIweB2YPTxbTe9GG7F1DwmYBh0sqndGsLzqt8VcG5vD355J0a6imlcWpxmwKg20QGA\nYIDfHmaPc9M5F1siv44EBxyvm06llCs2Zn3+3SNaH0KR6Ojd868To36y0+hWZ6JlZs/+BXS7\nDZeOSRp9XAUAABqZ7mXf5sS71N+6uMuCJRz+m7xioRj/603CQh8naf4UFVlBJWIojAGrViPg\naGU7KfPy8mbMmGFmZkahUAwNDX/66af09PQvdG0KC3Rd5EUiBQw91TTo6tpqslh5OX7+oTWY\n+YKeO27eE3CMRK5RbwBAJRfTItTa1WqfmfA/L31SnenOhhm+oHdQzu4zaX/++26Ds8/nbgtb\ncmC90ah2XrP6mY1tf/7x9c/sTUZadNb57beu7A0pySv/tB6ykvKTIjKkQsJGSY3KVIokR334\ntOvWJTe1CAAwHKMIa7QyuSmFKlvaGFsoFrWYGjbOtfxRKDSygbmOYsRAq1ZaMhKRpKMu99Jw\n8rExtJRnkGGwaD79VAhHVNK2u+OoJf2IJAIA0NWoc3eP/wT1BgBQ6cp5xCl1IggEAoH4bug3\nqht0ExVoK//SpcVmfZXxIBCIT+D283uA13r3FVZxAGDHxYOmo706LxhsOsbr2L0L/m07S9Ub\nOI4rvQisOrpt8YF1TbnWu7T3zlP9Fvy9VjFIIBAGrJrUd8X4vFLVj82KkIi1NhWQiSQA0FHX\n+nfxNpkyY86gyUM69wGAu+G1vKMLy4tfJ0Y1ZZxNRFdD28fJA6k3ED8aBCJh5vaxTW1MwI68\n27Tx2oJxKwYozocgEIgvBy6GwpqfPz0Gzd/S0BbPl9eWxCu1bmq3WY+hEj3zIxBfmsrMvNPd\nJ5SlKk9u/xcwjfQGntxG00LOyghE68bM3nDqhuFzdo+3cq+VAU0IBB5GBAAQiKGoSsUjgIWu\nXL0BAFa6IFszopGBqmLDf/dj8ctZlvfmT0jp5AEAuc621SbyFatNz3PHXU6tdR0CVle9Ycgk\nO+qqSIGK+BEYteF/M3YtO3z77JgjxwuqeQBQ83SKAwBgxh2G9xrfRPUGANibWfVx91zaqVZq\nYDIRW3AvPL64XILjw4OeJJRUAIBIDDhep9/iWHi+Bl6uh/R7zXhI/kq0JgFHbm5u+/btDx48\naG9vP3v2bA8Pj1OnTnl5eSUnJ3+hETiOBKs+oO0Ahp7Q9n/A0McwbOqmEbJ6DV3WgLmDwKoP\nOI3GLP3B4KMCCAeeENY/1mZDrS8pfUPNrT2blADldULU4dtnn8bUWBMTSQRNvRaQqwWH3v/z\n4gHpcUU1e8r2xUUVJZ/f7eMLr+d0Xn/896uHVgRN91j94X1Os07ncfgrBuyY4bl6QfdNP7db\nlRSR0egp+rVVEQBgUCfyyVi5Kjt5WNWTtubX0bN1NbRlxW3TVw6e3dPYRl8WmbphOIVWS/0w\nZ9BkxezdcwZNUizSGNQN1+Z3HeJpbKPv1ct1442Fde+0ASauGXwyaduuxytOJm/rMfYTzfHa\n93LT0JV/2AwtdN27OjTQHoFAIBCtGgzDNDrROTSOUtzISl9lewQC0VwqPuRkv3zLK1XOdtdE\nKjnsSdsWsgY6aAxymrN3pWLmeykllWUTDqzIodeSQVsFdI7NSFz8MW2KUCRafnjz2+QYaS0O\nuKTO6/KOiweV1BIqGb1hVkJWiqxoqKUHABKJRCwR33nzeMr2RY32MK7HEMXi+J5DpQdj/AZn\nnXnzcve1rDNv9s5ZLw0y6cq2iEPX/nz20dVGr4JAIBrGJ7DNmguz3Trb6ZkoZ+dUhEDAfjk8\njaWDdBsIxFcFlwBeO1+4RADcEni1AZ79BiJuPac1gZgjUJrUeLMfhuLiYl1d3e3btyvFhULh\ntm3bHB0d6XS6ra3txo0bRSKRyh4QiEZ5tma3oKr6v74KkUya+PrS1HfXzbu1WNpxBALx1dl9\ndipZp0aQIcawWIoeDvVuF8cAQKOOeV53ByBhYKgBXAFUq/ABKueLAQAnEpM7exTYWlTpKO92\nqOCLlSJaNGUhSLVAciqmRFx3NR3xncIXCrae/ztg2Zg+y8df+ei6mlfFdfvn+urHUU8/FEYX\nll1JytqRJARte1M9o/py+MogYER1NaYajf7qfYQo+wWlti1CbFFlGZfvrKsJABF5JU5/XzPe\nGcT84/SJmHT3A9fpm093OHIrNKcIAIBbDBIhiLiQ9RhyXv4nN99ytKYUKmvWrMnJydmxY8fC\nhQulkePHj0+aNGnx4sXXr7eYdURDEMhg5gtmvoqxgHGdbNuYR9yPY6jTuw7xZGkpTGTYDwWG\nQW7Cu+dvS/fcor5OJtIx68F4tKy+9/yxTbHfmLdv1d6rR6XHI3z7n1+5v9FPcxN5+T5cscjh\nc98mx/b26vaZ3R5dc1l2zK3infnj5vLj05t++vltt6MeJ0iPi7JLd/zv6D9vfm/4FO8+7s4+\ntu9Da+aOvXq5unW2b+ao68WmjfnQeQGX94RIi70ndGnb3VFlSytD84QjT849vlZZXdWnffd2\ntq4A8PerNS9vRFYUs926Oli7mSqd4mrp8Hb/nf03TpSxKwI8fZXmrwHA2Fp/+YkZnzx4TT3W\nZ2p9NPXVt9xafGbzjaykfGt3s/ErBtCZSCyJQCAQ3zM0MpVL5XwwzLDIt5RGLFyMeioIAXNL\nCg7fPlvKLu/Rrkt/n56qe0EgEHXB8ZCFm+JOXQcAMoPe489ljiP6NrePRf+sO34vSHq87/ox\nFkNt89Tlig3eJsewOVXHrXijMzWtqqgCgkTUw9lpVL8jd84pdfUqPsLDzg0ACBhhSJc+sm5l\nhMZHNPxqkF9apKjeAACRuNbqxYPI53yhgEpuKOfj7xOX0Km0C09ukAik8T2HLhouf3HQUGN1\ndPZUbDzcN3DD6T2VHLYsUslhT9m+uL1DW1tjywaugkAgGqVD3zbSVKGht97t/N8xdpl8MYlI\nIhha6nr0dJ24ajBDHb0PIhBfGwIZNK2hLKVW5M2fys3q+EY3jpgPcSeh3UxgGn/mGL8DeDze\n8OHDS0pUbHWbOnXqyZMnu3bt2r9//2fPnq1cuTImJubcOeVnLQSiUTjFZSm3n6qsasZfcINN\npZUMfW1NS2OM0Jp28yIQiEbR0WddTvljxaIrJ09HlRFoPKyeBV8nI0tBOTExN7WojlZbiwHT\nfIFEgAouVPGARgZivV8oaW1dzBNS6quVUcZTFjWyBeLJ19IepFWcHKKcpQXxXfK/Xb8eu3eh\nbryIw7uZJ9kb+UokFg/r2m/P7NUAoMXUWDB02s5Lhxro8Oxvf8VmJK4/tQsAzNSVtxPsDnvf\n1VyfQCQv6ep5LCKumMPLq+L6OTvPuvWaIxQAwOuc4v5nHybMGqzLoNacgwMUvweTzi1xu/8V\nrUnAceXKFX19/fnz5cmYJ06cuG7dunv37uE43lKahk/AytXUylV5YR4AgEAG8+4khve8hUcK\niqoB4Clmo2msM8lNTCITnUb2s+mguy6gAAAgAElEQVTrq+Ks2kSmxMrUGwAQ9DR40puR/bz9\nW2TkRtoGShFjHeVIcxEJRMW5tVLn5qUXNeXE0sT0l5v+KU3OyC8WMTG1KrxmVigzIa+6gqOm\nobzZThEiibDl5qJHQa+zEvKs3cx8h3lhzUxM0zDTNo7oObZTemy2mYORbVvzBlrqqGvNHjhJ\nMUKhk7uPbEja7Ghmu3tWkxyqvxYWTsafIyJBIBAIROvip4Bhx+5deG/5vlCrULNKy8nFZs+p\nVWSpj2JFBi/xOi8/JScm9lLCh12X//1t7LwNk3/52kNGIFoHSdceSNUbACDkcO8v3GzZoxNN\nu3nZOm68ClEsXn8VoiTg0NPUAYAiqmivXTEZx0SA7xgxAwCMdQyVujJRiOyZvY7Nrbr87LZi\nA1PdejODpuRmPIx8QafQSESSomiDTqUDyN8FKCQKiUhUOje3pIBJZ6gzWB/bkFePX7h6/MJ6\n7xngTeK7AzdPsTlV/bz9H/15YfrOZRFJclk8T8B/Gh2KBBwIREvh06/N+cydQr4o8kk84LiG\nNsvSxYTKaEiJhUAgvjQOwyHpCpSlAIEIJHqdtCkAIF3QJQBIVFQ1AC6G4lgk4MjLyxs2bNir\nV6/qVoWEhJw8efKnn346ceIEAEgkkrFjx54/f37KlCm9evX64iNFtG6KohNxkfLmdSkqp7ap\nWur8ssomNa1dyc4pjD113W3C4OaPEYFAfNMQiIRdl9IFRGa9LYgEcDUuwfR5qdWQXQYfSsCi\ntss7iQAAoEFX4c9RmypNzbwiEaOCy/nYcn4Hg0NvizjCeh42JDgorNOdiinZ4G9qoUFV3Rjx\nvcDhc0/ev1hf7arxCwZ37gMAwCkAfgGQCUBW2/G/Nd3cfdae2BGVGqfUnsVQ+2XkrJHdBtwM\neyCNvM4tnthGrgSq5AurBaLTQ7qq08gvM3OLOdIsLfA2NZkjlHvTlnD5TzMLhjp+XN7FAAjf\nukCi1YguxWLxH3/8sWXLFkJtoSidThcIBGKx6gedbwF9Xcbz4HGTRrt16WA6Z5rXPyGrBp/a\n1v/olqaoNwDg/QflBDGx6QktNbZxPYaY6clfyQb4BLhafm52DBKFZOFU6zXPtk1DigcA4HME\n7x/HBA2cmXLzcWlSBrU024ucRoGaiWA6k8ZgNfLLIb1uwLhOU9YP6z7Sm1AnydbnY+li4jeq\nQ8PqDQQCgUAgvgP823a+tu6IX9tOxu30Bs33P3V8Z416g1cOscdFlVmBZx4ceJtUzOEDwOaz\ne7l83lceMQLxLSHiC9LvPU++9oBTXKZUVfD2fa2WPH7R+8Y3ryhBo1AbKAKAu7WTr5uP9FiI\n4UAgGOvoA0CPdl18nDxkzTzt3PsqiMLVGayLqw4GdughiziY2YzqPlDlGM49uuY6zX/GrmUT\nts6vlf6PQp07eIpiy8m9RxEJcgFHfGZymxkBJqM9NQc7T9q2UNg0s/Hnsa+95wQevn32wpMb\nk7YtvPj05q+jZiu10WZpqjy3PnAc5/A/w2EegfgBIFNJ3r3cvHu7O7S3QuoNBOKbg6IOrhOh\nyxpgmQK/gbxskua7cMDTiIcqUob/SBw4cMDZ2Tk0NLRnTxV2g3/99RcArF27VlokEAh//PEH\nABw61NDOUQRCJQz9ZiTLJlEpfhsXkWgNrX028Keb/Sy8/koEAtFaycljC4Sqlkf1WKCjBmba\n4OcABWx+RrlQuhz8VHnBsemI1KhFE/w5GnQDIv5nL4vI6a67elsMdFD1Ml5aDUEREJurPNpK\noYrGiO+L6LR4saSWpodErJFKzBsyZXDnPoBLIP4shO+GmCMQthUK3wHAoE69B3ZUIYQ9s3zf\nynHzAaCdnas0cvxdak6lPPc3iUgIHuOvQSNjAAfeJgGADp16baT/1gAvpa7ISu4yBh7wbfOt\nC0xkEInEqVOnKgUTExMTEhLc3d1JpG/6RmyttI7u6fdp5zqYKXsKOZrbfvaIatBmab7df+ev\na8c+FGR3cGo3tc+YFjEymbNr3LpR+ypLqwHAzN5wwqpBDTSOfBS/beq/tNIsd5LCXj1MqE2s\nyhdrAsCoJX1b1k7jy5PwJu3ltUgCEes+soOli8nXHg4CgUAgfmxEPCBSAGtI7DiwYy8VD81l\niSDmn4/LSCiRzxFLcPx+5LMBPgH/xUgRiFZHdX7xhcDpFR9yAIDCUhtwcptZF3kGEKaJstcd\ny1i/uZeYEDB8w+ndikWlBgSM0N6xzdOYUGkRxyWLD6wf2W0gmUR6uO3CoVtnYtLjXSwdfu43\nVimzCYZhV38/fPxe0NuUWGsj85/7jWXSlX0pAQDH8bn7VvGFNclx2Zyq7m06shis0soyUz1D\nGoV6evlfx+5d4PC4/X16Lhz2s+K547fMi06Ll3Zy/F6Qs7ndL6NmNXrLf107pljce/Vo1pnX\nNsYWqbkfpBF7U+sAT7k4/mlMWNCTYCKBMK7H0PYObep2uPnsX1vO7avksL0d2x5e/OfnS9gR\nCAQCgfg6FMdDeVojbdQMoTqvWb2uvR2ywNhf5Rz6D8LevXv19PQuXrzIZrPv37+vVPvs2TML\nCwtra2tZRFp8/PjxFx0l4rtAz8WWaaxflVsoi9SXDoVlath1zRz7IQHqpoaXhs8VC1QvgjYw\nh07XrZM6AYFAtH4M9NSIBILiejmGYTiOY1U83M8BcIC7cSDBBbJqfXXgCYBWW58tlkByIbB5\nYKAO5tpEDMQq5WCUmu0ZBWLsXX71Ih8DMY5fTyhX0fJWDJRzQZMOIF8OIxEwN4PGt2ojWjsH\nb55WigR6+0/qPbKimo0B4f2HJGcqG4piauokQki6DDqOQKR2dlGWXADAiiNb1NVYvm4dolJq\n9kQt7eRioi7P2MAgEXe8il/U0UmM41UCEQDs69thoINpDpujRaOU8Wo++2bqat3MDQAASAxg\n6IKRN+irmC/6pvimdQ8NI5FI5s6dKxaLFZOqSKmqqmrTRv5PLxS2YlWXl7375N6jjt49Ly0G\ndujRssnmdTW0105Y1IIdAoCzj+3h6I1xoakUKtm1sx2JrGybLEMskmyd8m9FMduYqGyy1CHA\nWWhi593X3bu3m1LV+8TisLd5psasHl0tCN+8tuPppTdbJtVo8C//df/3i3Pb+Tl93SEhEAgE\n4scCl8CHB1AYCWIh4BIQcYFIAXM/MOvW9D4EIuGTiKcB6pDN5ihViZq2hx6B+BF4ufkfqXoD\nAATs6kdLt054dV5W6zy6X+SBs5WZNYsojiP6alqbNfcSa35ayKSrBT0JJhIJEwKGzxowsW4b\nJce+7KK8grIiAy09OpU2b8iUuu1lkIikqX3HKKvma1NUUVJcUVrrLBKJL+C/iHsDAOcf32hr\n4/Jqz3WZNQiO4xkFWRiGaTDUI1NiFU98EPmiKQIOpctV8zgEAuHZzitbz/8dn5nsYumwdMRM\nNVrN2/upB5d/2jJPerz7yuGbG08oZZ+89OzWiiNbpMevE6KGrJmaeOwpoUFNGwKBQCAQ3yiV\nHxppgANwC5Vi99Jyo/JL57Z3oquarxNLcJ5YEpEU8yMLOHbs2OHn50cmk69evapUVVpaWlZW\n5uGhvGXTysrqwYMHZWVlWlpojRzRHDDMulfn6GNX5AFVrYYE7bHw6yA9LohOrE+9oYKPehAi\nleo2cchnDRWBQHyTkMmEJXO8/9gTKotIbbRwrhDuxAGFBBIFLQaVDL2dlbsQSeDSWyhi1xTd\nTPDu9iquJJaAzPmeIzj3MvvFpvv+Paw5dHXllhIcyrkAAIkFkFYM1nrQxQboFD8LFotS71oh\n4rshPT9TKXLt1b1rr+7JimELpnuzFKolQqguAHXz9FwVuuSY9IRui4aN7zn01IPL0kh3C0NF\ntSOOw6YX0fM6OJAIhB5WRjeTs/vYmgCACYsRMj5g9eOoxJLKNgZam/zaqdNoYNIJLHoCsXUY\nTLZWAQeO47NmzQoJCQkMDJw0aVLd2rIyuZ2DRNLMdI/fGEeW/Dm+59DotHh7U+u+7f1axCTj\nv0ZNg1FXeFGX3NSCimI2AJRKWCIgkEAi/cOjMBljd81k1dmkCADb/369dO0j6bFvR7OQoFGU\nb/tL/8yWYNmxSCBaOWintpHmmF8C+01txrLZN05BWdH2oAOJWaluVo6LR8xoroU1AoFAIP5b\nsh5D5qNaEbEA0u8CwwB0HFW0L3gL2c9BxBGyrK9mVOTlp3d2cjvwMvzeq5sxMwZ0MNFTbEsh\nkbxUbXBHIH5Mit+nKhZLUz6I+AIStebNkKrBGvfoZOzJa5XZ+Ubt3RyGfIp1DYlIWjZq1rIG\ndQ+WhrV0IUy6mq6G9idcSyV6Gjp6GjpFFSWyiJaaetDTm7JiVGrc1Rd3RvsNAoC80sKha6eF\nxr8FgM4u7Snk/7d334FNlesDx5+kSdO9Ny2lhQKFFpllbxDZCFRAWYrI1evGexEUN25RL+LW\nH6hXEbi4GMoS2XuXTcumhZZOutP8/kgtbSilI+1J0u/nr5w3JydPkvc8Ocl5zvtq8/JvXPnj\n7VapMxy97ui8bt/mksV2EdFuTq5uTq7vP/zSzSu/8cNHJosmBRy/7yqTD09dOnPiQnzzELON\ncQgAQN25duI2K6hEioqHVc8uKNx4LmnlyYuf7j1eoDdsPHfltzF9bv6L0U6tertfu1PegbUQ\nrtW4885bFq+kpKSIiIeH6R9f7u7uIpKenl66gKOgoKB0CUhSUpKZA4VNiBwzuHQBR7n2f74o\n62JS5NjByUdOHfh6SeU3rrJTa52dgmKiu7/8uHfz8Ns/AIAVevP5nn27hn6z9HBi0vW1G8/c\nuKPIILl/13t5OEmIpxQZxGCQU1clJUvahYqxlPN44o3qDRE5dLGoU7jobpw7dsrO65acutrV\nVTydJSNHtsTL6Sv5KtVpg+H0V3vsPJz0/SPFv1QZR+kTsgV6OZ4oVzLlvhh7Oys4s4kaMhgM\nt52Jb9nOLTF925Vp0rmLiIezy60e8t3aZSW3k7PzSlc75hTqU3Pz399+5F9doj4f3HniL5uv\n5xe667Qi0i7Qe8W4GzMFi72rhFdzrgxFWGUBh16vf+ihh77++uvOnTsvWrTo5oIGV1fXa9du\nXKcVHx/fuLHpRCR16czarRtf/E9a/HmfyMa93pge1LHK5zn6tO7ap3XX2ohNWZ7+7sYBnXIN\n2gMFjZppLrnY5fs0D+vx6pPlVm9cSc4uqd4QkY3bzv/fD4emTWpdhyFXWfLFMtOfGwyScint\noyf/G9DIt23fm6odrVBmdlbXJ0cYh7D+bfua37av2fnRipunYwcAKGLZ5lXtMjaEupRX7Jh6\nopwCjmvH5PhSEbleUNh13n8PJBV/i9mpVHqDYfCi9W/0aTO1bcQXe0+KiIPG7oOHZob4BtXq\nSwCsiGd4SNK+IyWLrg38S6o3jHTuru0eHV/bYfz7nkeW/LX8WmbxQKZz7p9hpzZbxbNKpZr3\n6KuT3n7SOItKWEDDvm26lS7gEJFzV4qHIXl8/mxj9YaIbInbFdmwydFzp0pWe2TYxMo847/u\nefjwmeM/bvhVRKIaNftmxocVrHwpJbGCRRG5eV4YF4dyZooBAMDSXU+SnOTKr/7etiMv/LW/\nZHHFyQunUjMivG66alakUwPfdqHBZojQFhmHedbpTP/1Mrbk5uaWbszJybnnnnvqLDZYqcAO\n0Xcv+c+ej767uG1f+UNrGCRhzdaENVv/ev79wry8ogJ9lbb/4KHf7F2cbr8eAGvWv3ej/r0b\n/fL7yTIFHCWa+En/yOLxM3ILZOtpyS2QTn8XdaXnmq5/Mkmibkx9krM9fvXRJBnTXkTEzVEG\ntpR1dnK0eGxRfVq2alWcYULHG+NzaOxEpZLSZ/HTrkt+4dmMG5dzwFZ9uvzbvw5ur3idL/ed\neqFvFyfJK14O7Cg694zszF92/qUSlUFuU//x0a6joyIbliz+dv56kcEwY/3e3Zev9Q8PGt4s\n1NvJScrdSGBMlV6L4iyxgGP58uXPPvts6Za9e/fa2xf/9ZmdnX3PPfesWLGiT58+v/zyi4vL\nLUtyLERawoXl988szMkVkSsHj/86/plJ2xc7ejOenoiIi4fToCk9Vnz5l4ikFLkecGzz0dbZ\n/g29b7X+8VPXTFoOH7taG4GlJmUc3Xnaxd0pqmuE2q5GIyo3ax+278+jN7fvWHXg5gKOuG2n\nVi/cnJuT33lw656xHaxitJUVO9aVTEAuIocSjv25f+vAmN4KhgQAMJr+2Stzl36+d+qQUJfy\nLr63cyi9pC/SH0o4ZkhYHa0p0qjVn+05UVK9ISJ6g0FENp1L6rbgdxHpHer/Yq+2LdoO820x\ntHZfA2BVOv5rypn123JTM0TEzl7b4xXTqR7rRnhgw6Nfb/h27f8yrmcNaN+zS3nTiFZGXkH+\nqp3r95467OLo1KVF+25Rxb91x/Qa1r7pHev2bfZ0dR/Ssd+F5MsmD+wYWTyu+KZDO0u3X8/N\n/uSJN37ftcHV0fmRYZM6t2gnlaDT2i967uP5j83JyM5s5B9S8RFylxbtV+5cX3rRZIUJ/UZ9\nuvzb3Pzifwru6tAr2LdeX2QMALBWeek3bpc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IiJ1auoTL6iNiMBTPtaS1ExFxcxQ3nVwuO36PcZR6Yw2Hvki2nZa0HDmeKO0a3jjeuOnc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\njbud7MusrdOKi06y8kQk1FF93UPnoFX5OdnvupSVfSVTL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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": 115, "metadata": {}, "outputs": [], "source": [ "dataset = 'BMnoisyp4'" ] }, { "cell_type": "code", "execution_count": 116, "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": 117, "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": 118, "metadata": {}, "outputs": [], "source": [ "saveRDS(se,paste0(workdir,'se.rds'))" ] }, { "cell_type": "code", "execution_count": 119, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\t
control
\n", "\t\t
0.27354416847229
\n", "\t
chromVAR_motif
\n", "\t\t
1.20779544909795
\n", "\t
chromVAR_kmer
\n", "\t\t
2.76901271740596
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Cusanovich2018
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0.662771185239156
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Cistopic
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7.63313528299332
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GeneScoring
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0.0183577179908752
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Cicero
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10.0959513584773
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SnapATAC
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0.0534444610277812
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scABC
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0.166581118106842
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SCRAT
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0.692627433935801
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Scasat
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0.138703080018361
\n", "\t
BROCKMAN
\n", "\t\t
14.1088278690974
\n", "
\n" ], "text/latex": [ "\\begin{description*}\n", "\\item[control] 0.27354416847229\n", "\\item[chromVAR\\textbackslash{}\\_motif] 1.20779544909795\n", "\\item[chromVAR\\textbackslash{}\\_kmer] 2.76901271740596\n", "\\item[Cusanovich2018] 0.662771185239156\n", "\\item[Cistopic] 7.63313528299332\n", "\\item[GeneScoring] 0.0183577179908752\n", "\\item[Cicero] 10.0959513584773\n", "\\item[SnapATAC] 0.0534444610277812\n", "\\item[scABC] 0.166581118106842\n", "\\item[SCRAT] 0.692627433935801\n", "\\item[Scasat] 0.138703080018361\n", "\\item[BROCKMAN] 14.1088278690974\n", "\\end{description*}\n" ], "text/markdown": [ "control\n", ": 0.27354416847229chromVAR_motif\n", ": 1.20779544909795chromVAR_kmer\n", ": 2.76901271740596Cusanovich2018\n", ": 0.662771185239156Cistopic\n", ": 7.63313528299332GeneScoring\n", ": 0.0183577179908752Cicero\n", ": 10.0959513584773SnapATAC\n", ": 0.0534444610277812scABC\n", ": 0.166581118106842SCRAT\n", ": 0.692627433935801Scasat\n", ": 0.138703080018361BROCKMAN\n", ": 14.1088278690974\n", "\n" ], "text/plain": [ " control chromVAR_motif chromVAR_kmer Cusanovich2018 Cistopic \n", " 0.27354417 1.20779545 2.76901272 0.66277119 7.63313528 \n", " GeneScoring Cicero SnapATAC scABC SCRAT \n", " 0.01835772 10.09595136 0.05344446 0.16658112 0.69262743 \n", " Scasat BROCKMAN \n", " 0.13870308 14.10882787 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "running_time" ] }, { "cell_type": "code", "execution_count": 120, "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": 121, "metadata": {}, "outputs": [], "source": [ "save.image(file = './run_methods_bonemarrow_noisy_p4.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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