{
"cells": [
{
"cell_type": "markdown",
"id": "e2100b5d",
"metadata": {},
"source": [
"# Applying `MCube` to the 3D *Drosophila* embryo model"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "833e8ca8-b82a-46ca-9df1-3c7c0723dad8",
"metadata": {
"vscode": {
"languageId": "r"
}
},
"outputs": [],
"source": [
"set.seed(20240709)\n",
"\n",
"library(MCube)\n",
"library(ggplot2)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "82892b33",
"metadata": {
"vscode": {
"languageId": "r"
}
},
"outputs": [],
"source": [
"DATA_PATH <- \"/import/home/share/zw/pql/data/Drosophila_embryo\"\n",
"RESULT_PATH <- \"/import/home/share/zw/pql/results/Drosophila_embryo\"\n",
"\n",
"if (!dir.exists(RESULT_PATH)) {\n",
" dir.create(RESULT_PATH, recursive = TRUE)\n",
"}"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "4cacb6ff",
"metadata": {
"vscode": {
"languageId": "r"
}
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"
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"\\begin{enumerate*}\n",
"\\item 16\n",
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"text/markdown": [
"1. 16\n",
"2. 5838\n",
"\n",
"\n"
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"[1] 16 5838"
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"metadata": {},
"output_type": "display_data"
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{
"data": {
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"- 14132
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"\\begin{enumerate*}\n",
"\\item 14132\n",
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"text/markdown": [
"1. 14132\n",
"2. 16\n",
"\n",
"\n"
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"[1] 14132 16"
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"metadata": {},
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{
"name": "stderr",
"output_type": "stream",
"text": [
"\u001b[1m\u001b[22mNew names:\n",
"\u001b[36m•\u001b[39m `` -> `...1`\n",
"\u001b[1mRows: \u001b[22m\u001b[34m14132\u001b[39m \u001b[1mColumns: \u001b[22m\u001b[34m5839\u001b[39m\n",
"\u001b[36m──\u001b[39m \u001b[1mColumn specification\u001b[22m \u001b[36m────────────────────────────────────────────────────────\u001b[39m\n",
"\u001b[1mDelimiter:\u001b[22m \",\"\n",
"\u001b[31mchr\u001b[39m (1): ...1\n",
"\u001b[32mdbl\u001b[39m (5838): 14-3-3epsilon, 14-3-3zeta, 140up, 18SrRNA-Psi:CR41602, 26-29-p, ...\n",
"\n",
"\u001b[36mℹ\u001b[39m Use `spec()` to retrieve the full column specification for this data.\n",
"\u001b[36mℹ\u001b[39m Specify the column types or set `show_col_types = FALSE` to quiet this message.\n"
]
},
{
"data": {
"text/html": [
"\n",
"- 14132
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"\\begin{enumerate*}\n",
"\\item 14132\n",
"\\item 5838\n",
"\\end{enumerate*}\n"
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"text/markdown": [
"1. 14132\n",
"2. 5838\n",
"\n",
"\n"
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"[1] 14132 5838"
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"output_type": "display_data"
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{
"data": {
"text/html": [
"\n",
"- 14132
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"text/latex": [
"\\begin{enumerate*}\n",
"\\item 14132\n",
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"\\end{enumerate*}\n"
],
"text/markdown": [
"1. 14132\n",
"2. 3\n",
"\n",
"\n"
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"text/plain": [
"[1] 14132 3"
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},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"n_slices <- 13\n",
"slice_idx_seq <- c(1:13)\n",
"\n",
"reference_ST <- data.matrix(\n",
" read.csv(file.path(DATA_PATH, \"reference_ST.csv\"),\n",
" header = TRUE, row.names = 1, check.names = FALSE\n",
" )\n",
")\n",
"dim(reference_ST)\n",
"num_celltypes <- nrow(reference_ST)\n",
"\n",
"proportions_ST <- matrix(, nrow = 0, ncol = num_celltypes)\n",
"batch_id <- vector(\"character\")\n",
"for (slice_idx in slice_idx_seq) {\n",
" proportions_i <- as.matrix(read.csv(\n",
" file.path(\n",
" DATA_PATH,\n",
" paste0(\"prop_slice\", slice_idx - 1, \".csv\")\n",
" ),\n",
" header = TRUE, row.names = 1, check.names = FALSE\n",
" ))\n",
" proportions_ST <- rbind(proportions_ST, proportions_i)\n",
" batch_id <- c(batch_id, rep(paste0(\"slice\", slice_idx - 1), nrow(proportions_i)))\n",
"}\n",
"dim(proportions_ST)\n",
"num_spots <- nrow(proportions_ST)\n",
"spots <- rownames(proportions_ST)\n",
"names(batch_id) <- spots\n",
"\n",
"counts <- as.data.frame(readr::read_csv(\n",
" file.path(DATA_PATH, \"counts.csv\")\n",
"))\n",
"rownames(counts) <- counts[, 1]\n",
"counts[, 1] <- NULL\n",
"counts <- counts[spots, ]\n",
"counts <- data.matrix(counts)\n",
"dim(counts)\n",
"\n",
"coordinates <- data.matrix(read.csv(\n",
" file.path(DATA_PATH, \"3D_coordinates.csv\"),\n",
" header = TRUE, row.names = 1, check.names = FALSE\n",
"))\n",
"coordinates <- coordinates[spots, ]\n",
"dim(coordinates)\n",
"\n",
"spot_effects_ST <- data.matrix(read.csv(\n",
" file.path(DATA_PATH, \"spot_effects_ST.csv\"),\n",
" header = TRUE, row.names = 1, check.names = FALSE\n",
"))[spots, 1]\n",
"\n",
"platform_effects_ST <- data.matrix(read.csv(\n",
" file.path(DATA_PATH, \"platform_effects_ST.csv\"),\n",
" header = TRUE, row.names = 1, check.names = FALSE\n",
"))\n",
"\n",
"library_sizes_ST <- data.matrix(read.csv(\n",
" file.path(DATA_PATH, \"library_sizes_ST.csv\"),\n",
" header = TRUE, row.names = 1, check.names = FALSE\n",
"))[spots, 1]"
]
},
{
"cell_type": "markdown",
"id": "7c90c6a0",
"metadata": {},
"source": [
"## Central nervous system"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "d9dc8e8b",
"metadata": {
"vscode": {
"languageId": "r"
}
},
"outputs": [],
"source": [
"celltype <- \"CNS\""
]
},
{
"cell_type": "markdown",
"id": "91631356",
"metadata": {},
"source": [
"### Correcting for slice-specific platform effects"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "86d6d959",
"metadata": {
"vscode": {
"languageId": "r"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Select high-abundance cell types to analyze with proportion_threshold = 0.5 and celltype_threshold = 100.\n",
"\n",
"mcubeFilterCellTypes: Cell type(s) CNS, epidermis, fat body, foregut, midgut, muscle, salivary gland pass the threshold.\n",
"\n",
"Cell type(s) CNS will be analyzed.\n",
"\n",
"Filter out lowly-expressed genes with gene_threshold = 5e-05.\n",
"\n",
"mcubeFilterGenes: 1482 genes pass the threshold.\n",
"\n",
"Select highly-expressed genes to analyze for each specific cell type with reference_threshold = 0.5.\n",
"\n",
"mcubeFilterGenesCellType: Select 392 genes to analyze for CNS.\n",
"\n",
"Preprocessed data description: 14132 spots and 16 cell types in total. 546 spots, 392 genes, and 1 cell type(s) to analyze.\n",
"\n",
"Number of physical cores: 72.\n",
"\n",
"Number of workers: 70.\n",
"\n",
"Number of thread(s) on BLAS per worker: 1.\n",
"\n",
"mcubeKernel: length_scale is set as 0.178073578880044 for the Gaussian kernel.\n",
"\n",
"mcubeKernel: length_scale is set as 0.251834070352474 for the Gaussian kernel.\n",
"\n",
"mcubeKernel: length_scale is set as 0.178073578880044 for the Gaussian_transformed kernel.\n",
"\n",
"mcubeKernel: length_scale is set as 0.251834070352474 for the Gaussian_transformed kernel.\n",
"\n",
"Number of physical cores: 72.\n",
"\n",
"Number of workers: 70.\n",
"\n",
"Number of thread(s) on BLAS per worker: 1.\n",
"\n"
]
}
],
"source": [
"mcube_object <- createMCube(\n",
" counts = counts, coordinates = coordinates, \n",
" proportions = proportions_ST, library_sizes = library_sizes_ST, \n",
" covariates = NULL, batch_id = batch_id,\n",
" reference = reference_ST,\n",
" spot_effects = spot_effects_ST, platform_effects = platform_effects_ST,\n",
" celltype_test = celltype,\n",
" proportion_threshold = 0.5,\n",
" project = \"CNS\"\n",
")\n",
"mcube_object <- mcubeFitNull(\n",
" mcube_object,\n",
" num_workers = 70, num_threads = 1\n",
")\n",
"mcube_object <- mcubeTest(\n",
" mcube_object,\n",
" num_workers = 70, num_threads = 1, shared_memory = TRUE\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "7d1f8614",
"metadata": {
"vscode": {
"languageId": "r"
}
},
"outputs": [],
"source": [
"saveRDS(\n",
" mcube_object,\n",
" file = file.path(\n",
" RESULT_PATH,\n",
" paste0(\"mcube_\", celltype, \".rds\")\n",
" )\n",
")\n",
"# mcube_object <- readRDS(\n",
"# file = file.path(\n",
"# RESULT_PATH,\n",
"# paste0(\"mcube_\", celltype, \".rds\")\n",
"# )\n",
"# )"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "cb49b539",
"metadata": {
"vscode": {
"languageId": "r"
}
},
"outputs": [
{
"data": {
"text/html": [
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"metadata": {},
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},
{
"name": "stderr",
"output_type": "stream",
"text": [
"mcubeGetSigGenes: Set adjust_method as BH and alpha as 0.05.\n",
"\n"
]
},
{
"data": {
"text/html": [
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},
{
"data": {
"text/html": [
"\n",
"A data.frame: 6 × 2\n",
"\n",
"\t | pvalue | adjusted_pvalue |
\n",
"\t | <dbl> | <dbl> |
\n",
"\n",
"\n",
"\t| jim | 2.000158e-22 | 6.920548e-20 |
\n",
"\t| fax | 2.059464e-13 | 3.562872e-11 |
\n",
"\t| CG14989 | 4.907008e-11 | 5.659416e-09 |
\n",
"\t| fabp | 1.365240e-10 | 1.180933e-08 |
\n",
"\t| RpL39 | 2.037242e-08 | 1.409771e-06 |
\n",
"\t| CG31323 | 4.807835e-07 | 2.772518e-05 |
\n",
"\n",
"
\n"
],
"text/latex": [
"A data.frame: 6 × 2\n",
"\\begin{tabular}{r|ll}\n",
" & pvalue & adjusted\\_pvalue\\\\\n",
" & & \\\\\n",
"\\hline\n",
"\tjim & 2.000158e-22 & 6.920548e-20\\\\\n",
"\tfax & 2.059464e-13 & 3.562872e-11\\\\\n",
"\tCG14989 & 4.907008e-11 & 5.659416e-09\\\\\n",
"\tfabp & 1.365240e-10 & 1.180933e-08\\\\\n",
"\tRpL39 & 2.037242e-08 & 1.409771e-06\\\\\n",
"\tCG31323 & 4.807835e-07 & 2.772518e-05\\\\\n",
"\\end{tabular}\n"
],
"text/markdown": [
"\n",
"A data.frame: 6 × 2\n",
"\n",
"| | pvalue <dbl> | adjusted_pvalue <dbl> |\n",
"|---|---|---|\n",
"| jim | 2.000158e-22 | 6.920548e-20 |\n",
"| fax | 2.059464e-13 | 3.562872e-11 |\n",
"| CG14989 | 4.907008e-11 | 5.659416e-09 |\n",
"| fabp | 1.365240e-10 | 1.180933e-08 |\n",
"| RpL39 | 2.037242e-08 | 1.409771e-06 |\n",
"| CG31323 | 4.807835e-07 | 2.772518e-05 |\n",
"\n"
],
"text/plain": [
" pvalue adjusted_pvalue\n",
"jim 2.000158e-22 6.920548e-20 \n",
"fax 2.059464e-13 3.562872e-11 \n",
"CG14989 4.907008e-11 5.659416e-09 \n",
"fabp 1.365240e-10 1.180933e-08 \n",
"RpL39 2.037242e-08 1.409771e-06 \n",
"CG31323 4.807835e-07 2.772518e-05 "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"nrow(mcube_object@pvalues[[1]])\n",
"\n",
"sig_genes <- mcubeGetSigGenes(mcube_object@pvalues)\n",
"nrow(sig_genes[[1]])\n",
"head(sig_genes[[1]])\n",
"\n",
"write.table(\n",
" rownames(sig_genes[[1]]),\n",
" file = file.path(\n",
" RESULT_PATH,\n",
" paste0(\"SVG_\", celltype, \".txt\")\n",
" ),\n",
" quote = FALSE, row.names = FALSE, col.names = FALSE\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "894cf5dd",
"metadata": {
"vscode": {
"languageId": "r"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"\u001b[1m\u001b[22mCoordinate system already present. Adding new coordinate system, which will\n",
"replace the existing one.\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"plot without title"
]
},
"metadata": {
"image/png": {
"height": 420,
"width": 420
}
},
"output_type": "display_data"
}
],
"source": [
"p <- mcubePlotPvalues(mcube_object@pvalues, \"combined_pvalue\") +\n",
" xlim(c(0, 4)) +\n",
" ggtitle(\"CNS\") +\n",
" coord_fixed(ratio = 1) +\n",
" theme(\n",
" plot.title = element_text(size = 24),\n",
" axis.title.x = element_text(size = 24),\n",
" axis.title.y = element_text(size = 24),\n",
" axis.text.x = element_text(size = 16),\n",
" axis.text.y = element_text(size = 16),\n",
" legend.position = \"none\"\n",
" )\n",
"\n",
"ggsave(\n",
" file = file.path(RESULT_PATH, paste0(celltype, \"_combined_pvalue.pdf\")),\n",
" plot = p, width = 5, height = 5\n",
")\n",
"p"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "2efe5b0c",
"metadata": {
"vscode": {
"languageId": "r"
}
},
"outputs": [],
"source": [
"# # For saving the plotly object as a static image with `kaleido`\n",
"# install.packages('reticulate')\n",
"# reticulate::install_miniconda()\n",
"# reticulate::conda_install('r-reticulate', 'python-kaleido')\n",
"# reticulate::conda_install('r-reticulate', 'plotly', channel = 'plotly')\n",
"# reticulate::use_miniconda('r-reticulate')"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "24fec03e",
"metadata": {
"vscode": {
"languageId": "r"
}
},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"attrs": {
"25b76f400854e8": {
"alpha_stroke": 1,
"inherit": true,
"marker": {
"color": "gray",
"opacity": 0.05,
"size": 1.5
},
"mode": "markers",
"sizes": [
10,
100
],
"spans": [
1,
20
],
"type": "scatter3d",
"x": {},
"y": {},
"z": {}
},
"25b76f489027dd": {
"alpha_stroke": 1,
"inherit": true,
"marker": {
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"source": [
"# Proportions in the 3D perspective\n",
"p <- mcubePlotPropCellType3D(\n",
" mcube_object@proportions, mcube_object@coordinates, celltype, proportion_threshold = 0.5, \n",
" spot_size = 1.5, opacity_target = 0.8, opacity_background = 0.05,\n",
" axis_rescale = c(1, 1, 1.5), plotly_eye = list(x = 0.2, y = -1.5, z = 1.6)\n",
")\n",
"plotly::save_image(\n",
" p, file.path(RESULT_PATH, paste0(\"proportion_\", celltype, \"_3D\", \".pdf\")),\n",
" width = 600, height = 400, scale = 5\n",
")\n",
"p"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "65d0d46a",
"metadata": {
"vscode": {
"languageId": "r"
}
},
"outputs": [],
"source": [
"# Proportions in the 2D perspective\n",
"slices_plot <- c(5, 7, 9)\n",
"spots_plot <- rownames(mcube_object@proportions)[\n",
" mcube_object@batch_id %in% paste0(\"slice\", slices_plot - 1)\n",
"]\n",
"\n",
"proportions_long <- data.frame(\n",
" mcube_object@coordinates[spots_plot, c(\"x\", \"y\")],\n",
" proportion = mcube_object@proportions[spots_plot, celltype],\n",
" slice = paste(\n",
" \"Slice\",\n",
" as.integer(gsub(\"slice([0-9]+)\", \"\\\\1\", mcube_object@batch_id[spots_plot])) + 1\n",
" )\n",
")\n",
"# head(proportions_long)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "046c84ba",
"metadata": {
"vscode": {
"languageId": "r"
}
},
"outputs": [
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",
"text/plain": [
"plot without title"
]
},
"metadata": {
"image/png": {
"height": 420,
"width": 420
}
},
"output_type": "display_data"
}
],
"source": [
"p <- ggplot(proportions_long, aes(x = x, y = y)) +\n",
" geom_point(aes(color = proportion), size = 1, alpha = 1) +\n",
" scale_colour_gradientn(name = NULL, colors = pals::brewer.orrd(22)[3:22]) +\n",
" coord_fixed(ratio = 1) +\n",
" facet_wrap(. ~ slice, nrow = 1) +\n",
" labs(\n",
" title = \"Estimated cell type proportions by STitch3D\",\n",
" x = \"x\", y = \"y\"\n",
" ) +\n",
" theme_classic() +\n",
" theme(\n",
" text = element_text(family = \"Helvetica\"),\n",
" plot.title = element_blank(),\n",
" axis.text = element_blank(),\n",
" axis.ticks = element_blank(),\n",
" axis.title.x = element_blank(),\n",
" axis.title.y = element_blank(),\n",
" strip.text = element_text(size = 20),\n",
" legend.title = element_blank(),\n",
" legend.text = element_text(size = 20),\n",
" legend.position = \"right\"\n",
" )\n",
"ggsave(\n",
" filename = file.path(\n",
" RESULT_PATH, paste0(\"proportion_\", celltype, \".pdf\")\n",
" ),\n",
" plot = p, width = 12, height = 3\n",
")\n",
"ggsave(\n",
" filename = file.path(\n",
" RESULT_PATH, paste0(\"proportion_\", celltype, \".png\")\n",
" ),\n",
" plot = p, width = 12, height = 3\n",
")\n",
"p"
]
},
{
"cell_type": "code",
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"id": "ba90c765",
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"outputs": [
{
"data": {
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"\n",
"A data.frame: 5 × 6\n",
"\n",
"\t | linear | Gaussian_1 | Gaussian_2 | Gaussian_transformed_1 | Gaussian_transformed_2 | combined_pvalue |
\n",
"\t | <dbl> | <dbl> | <dbl> | <dbl> | <dbl> | <dbl> |
\n",
"\n",
"\n",
"\t| jim | 2.483974e-04 | 2.000158e-22 | 1.391063e-20 | 2.411920e-06 | 3.517968e-06 | 2.000158e-22 |
\n",
"\t| fax | 1.331406e-13 | 9.864353e-13 | 6.344871e-14 | 7.131344e-07 | 1.178233e-07 | 2.059464e-13 |
\n",
"\t| CG14989 | 7.349526e-08 | 1.356572e-11 | 3.550379e-11 | 8.367655e-05 | 1.541567e-05 | 4.907008e-11 |
\n",
"\t| fabp | 1.500675e-07 | 7.013068e-10 | 2.841780e-11 | 3.329066e-06 | 6.366401e-07 | 1.365240e-10 |
\n",
"\t| 14-3-3epsilon | 1.147463e-06 | 4.298401e-05 | 2.535075e-05 | 1.513034e-04 | 4.390764e-05 | 5.188966e-06 |
\n",
"\n",
"
\n"
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"text/latex": [
"A data.frame: 5 × 6\n",
"\\begin{tabular}{r|llllll}\n",
" & linear & Gaussian\\_1 & Gaussian\\_2 & Gaussian\\_transformed\\_1 & Gaussian\\_transformed\\_2 & combined\\_pvalue\\\\\n",
" & & & & & & \\\\\n",
"\\hline\n",
"\tjim & 2.483974e-04 & 2.000158e-22 & 1.391063e-20 & 2.411920e-06 & 3.517968e-06 & 2.000158e-22\\\\\n",
"\tfax & 1.331406e-13 & 9.864353e-13 & 6.344871e-14 & 7.131344e-07 & 1.178233e-07 & 2.059464e-13\\\\\n",
"\tCG14989 & 7.349526e-08 & 1.356572e-11 & 3.550379e-11 & 8.367655e-05 & 1.541567e-05 & 4.907008e-11\\\\\n",
"\tfabp & 1.500675e-07 & 7.013068e-10 & 2.841780e-11 & 3.329066e-06 & 6.366401e-07 & 1.365240e-10\\\\\n",
"\t14-3-3epsilon & 1.147463e-06 & 4.298401e-05 & 2.535075e-05 & 1.513034e-04 & 4.390764e-05 & 5.188966e-06\\\\\n",
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"text/markdown": [
"\n",
"A data.frame: 5 × 6\n",
"\n",
"| | linear <dbl> | Gaussian_1 <dbl> | Gaussian_2 <dbl> | Gaussian_transformed_1 <dbl> | Gaussian_transformed_2 <dbl> | combined_pvalue <dbl> |\n",
"|---|---|---|---|---|---|---|\n",
"| jim | 2.483974e-04 | 2.000158e-22 | 1.391063e-20 | 2.411920e-06 | 3.517968e-06 | 2.000158e-22 |\n",
"| fax | 1.331406e-13 | 9.864353e-13 | 6.344871e-14 | 7.131344e-07 | 1.178233e-07 | 2.059464e-13 |\n",
"| CG14989 | 7.349526e-08 | 1.356572e-11 | 3.550379e-11 | 8.367655e-05 | 1.541567e-05 | 4.907008e-11 |\n",
"| fabp | 1.500675e-07 | 7.013068e-10 | 2.841780e-11 | 3.329066e-06 | 6.366401e-07 | 1.365240e-10 |\n",
"| 14-3-3epsilon | 1.147463e-06 | 4.298401e-05 | 2.535075e-05 | 1.513034e-04 | 4.390764e-05 | 5.188966e-06 |\n",
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" linear Gaussian_1 Gaussian_2 Gaussian_transformed_1\n",
"jim 2.483974e-04 2.000158e-22 1.391063e-20 2.411920e-06 \n",
"fax 1.331406e-13 9.864353e-13 6.344871e-14 7.131344e-07 \n",
"CG14989 7.349526e-08 1.356572e-11 3.550379e-11 8.367655e-05 \n",
"fabp 1.500675e-07 7.013068e-10 2.841780e-11 3.329066e-06 \n",
"14-3-3epsilon 1.147463e-06 4.298401e-05 2.535075e-05 1.513034e-04 \n",
" Gaussian_transformed_2 combined_pvalue\n",
"jim 3.517968e-06 2.000158e-22 \n",
"fax 1.178233e-07 2.059464e-13 \n",
"CG14989 1.541567e-05 4.907008e-11 \n",
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"dynamic": false,
"on": "plotly_click",
"opacityDim": 0.2,
"persistent": false,
"selected": {
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"layout": {
"hovermode": "closest",
"margin": {
"b": 40,
"l": 60,
"r": 10,
"t": 25
},
"scene": {
"aspectmode": "data",
"camera": {
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"yaxis": {
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"showticklabels": false,
"title": "y",
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"zaxis": {
"showaxeslabels": false,
"showgrid": false,
"showline": true,
"showticklabels": false,
"title": "z",
"zeroline": false
}
},
"showlegend": false
},
"shinyEvents": [
"plotly_hover",
"plotly_click",
"plotly_selected",
"plotly_relayout",
"plotly_brushed",
"plotly_brushing",
"plotly_clickannotation",
"plotly_doubleclick",
"plotly_deselect",
"plotly_afterplot",
"plotly_sunburstclick"
],
"source": "A",
"visdat": {
"25b76f6db23d81": [
"function () ",
"plotlyVisDat"
]
}
},
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"text/plain": [
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"source": [
"demo_genes <- c(\"jim\", \"fax\", \"CG14989\", \"fabp\", \"14-3-3epsilon\")\n",
"mcube_object@pvalues[[1]][demo_genes, ]\n",
"for (gene in demo_genes) {\n",
" p <- mcubePlotExprCellType3D(\n",
" object = mcube_object, gene = gene, celltype = celltype, proportion_threshold = 0.5, \n",
" spot_size = 1.5, opacity_target = 0.8, opacity_background = 0.05,\n",
" axis_rescale = c(1, 1, 1.5), plotly_eye = list(x = 0.2, y = -1.5, z = 1.6)\n",
" )\n",
" plotly::save_image(\n",
" p, file.path(RESULT_PATH, paste0(celltype, \"_\", gene, \".pdf\")),\n",
" width = 600, height = 400, scale = 5\n",
" )\n",
"}\n",
"p"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"vscode": {
"languageId": "r"
}
},
"outputs": [
{
"data": {
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ZhQc4VE9qamppu0o/S9kfRpuamiZi4IRiCwseQ4Jq8S83gGqJ/OKt5Zd1zaDJn7952017wqam8YNju5V8UbQ9fLuJEVExqy4P3te05IvM8PD911ytZsYoLi42eC0/P9/gtVJ5eXmlbVvb8v/0rAJHvLfpzNntS9+eMKRDgFP5UotSTm1a8tKdrVrc8c7WxKoXXUV2dlcPzajSz3JNr7KfBm4hzNgBqJbcnJIJJ3vtrjeHhhnseOXY1fb2t/uHfa6f4rEfOmfdi511bde7Pt4Sknr9Z0t5tFS6DluGf6tWzrJd9xJAzsWLySJXp+zaPffHlrsrerdBzy5A4TpsWa1atRLRv1gad/HiNUuE1l5eLiK66cCgcd9++7Cycw6M/ULKznhVpZOFu3uFK5R2DXo8/FqPh1+TwtRzB3Zu37Fjx47t//6z81RKyRJlUeym14YMs9+z44Vgc54z4u5+9RixlJSUKjzolpJS+p6Djbu7gYlMQN0IdgDMJOfCvvALlXcTEUk6sTX8hL7t2PTqY2LW/u3CqvBcmKlsbK6ugWo016wdujXrEdaspsa1tLGxECmuaFyRgICAklchEsW7T1iY2dY0zx0/nisdjM9bFR4/fqak3SAgwPjYVm6NOg9p1HnIQ8+LFKWd2rTs05lvf7YjoVhEJGv3m6+teGLlA1U7WrZKHPz93UR0ufPM8eMF0rqSg3TjIyJKV9Or9FAeoEIsxQK4VWTHxJRmSCs/v9rbaC82JqZ0wdTbz+/aWa3WYWElE4dZW7bsMeOwhbt27Da8UKuzb8fOkqVY6y5d2lf95pauLQY+teDf7R90L1m+zVy/Jryy4ZTp3LVryd+ovB3b9lZ286yt2w6WtB27dq3KC8aA+jBjB6BaGj36zZawrMr7Sfgbfd/cqm/3eG3TO/30+cayXmhN1Xat3PXr/i19y7JNaKj5n/Y34Mq6daXP1VmFhpZb09V0HzzQdeGyNBGR8z98ufmtLv3NtYYY/+uyvz/uM9DwY4+F25f9dF7ftuwa1kvxU2lWzcY91HPqzs0iIpJ98WKyiJcplVbMuU/fjpr1e7UiIpd+/u6fD7oPMPIObsqKb//MLqmrR1hP/rzh1sS/+QCqxbHhbWENq9Ixscw7qF7BfcLCavc/PwVH5rz1S+mbra1GjmxeSwNnh78x+++SFzUseo0cUf5NTZshLz4XsvztCK2IxH4z5Y1xu+Z2N3IqghKJS1/98IXbp7c0sDYTtXD6lyUbHDsMnTDGlF2ltdqrR3k4OzsZ6WmCho9OHPj63vV5IiIJ30z/8Pl+r7Qw8LNk//v6m2tz9V+4jpr0gHfF/QC1YykWQN0VueL9xdtjK39fMvPYknuHvnWk5GF/9zunK92Trpz9S2cuP5BY6Xu12pTds4eNXnS+5Gv/cdMfvn6fXU3o1Pce1IeqoogPho94Z1tiZcuO2vRTf82btfJcJd0K9r11z/ObKjw5IX3HjLtf2aZfh9UETfjfPW7XfHLbwhnf7LiUV9FHy/Q6vvjrbSVftGrf3twvovqMfXlcybNy+XvfHP3chgq3pCk89/3YsQtLHvC0DH76pTvNHDGBOoNgB6DuSt2zaFKvxkG3jXp27g+bD0enln+ttSgzZu+qec8MaNXhid8vlmQl7yHz5j9YzfmcuC3vP9gxqEmvB16a/+u2Y5cyym9hW5B6dscPsx/v1qLH9C0lUcQycNyi9wZUGDhchy76bUZb/ZJp8j+vhbXu9uisn3eeTyt338L0mKP//vzx/8b0adKg1fCpXx80sqWySJPQUAfJj/hkaMcRM/84llR6r6LUU2vm3Nvx9lmlZ6sFTVjyTrl12KLodbPG92zo32bwY68v/uO/U/E512bNovSoLV8+26fP9H36X7pdn8njqpeWK2IXNuf7Zxrr/1LlH/t0eIdBr/5yML40y2uzL27/6tketz3ye6x+5tCm3fRlr3fkbxtuWSzFArewc98+PO7bci+ypkVeKW0fX3R/2F/lJmFMOvuhRuVd3rdqwb5VC14SsXb1D/L3dHN1ttPmZaQnXYo6n5irLdvXwueO+Zt+fUTZliKGZEdv/2nu9p/mimhsPQIC63m4uTjZFOdkpF2JibqQcu08olXQA0v/WTLc4ANojl1nrlmVd9eYD/amikhxwp6lM+5fOkNj79O4cX0PVyfrgsy01KTYCzEplUyhldXg8S9mbBwx/q+Ec6tfH7l6pltg08b13TTpcVGR58tW595r1m8f3V7xDFdhUsT6ryPWfz1TxNLRNyjA193dxV6Tn3El5mxUXObVGUuN75AFX09uVOE9qsk5bO6fn0XfMfnP2GIRKbiw4d17N7znXL9pkwAPm5zE85GRCdlX/xHbNB373W9vtK+50zCAmx7BDriFZZ3fEx5+yvD1jKjd4VHlvmfy2Q+1oSDtUmTapYqvaVzbPfzO5x9M7uJl/tkcbV7yhTPJBvZ6sfTpPvGDz2c/1Mb4MVYa/8Fzt+3rNmPSC59tOq+fStPmJJw9lnC2gt4WbsHDHnvxnibGbxk0bsXmnLHDpqyKLpCC1AsnDpQv0a7JyNk/fz+lQxWe6SvKio86GV/BBUufHk8v/H7u3Y1qapbMtvXE3/6rN+2hJ+dvjdVNDxZlxJ46FFuum12jwdO+Wvp6X+9aeysGuBkR7ADUXc3HL/raf/fhw4ePHDl85Pj5pDxt+R5WzvVbtu3UfeDoBx++u1eg2bas7fLcd1+0PnD4yOHDh48cPXkh7fqtja3dgoLb39Z70L0PPXTnbfWqOIVk22TUB3+PeGnvT59/vWrjP+F7Tiddc2ONnVej4A49BgwdMfKuId0CqvLT2IdM/i2i7x+LFy759sf1EcmlodzSvVW/ux56atqUO5tVPP1q0+/VHxb1PHz48JHDhw9HnI7NKJ/nLex9mnXqN/zuBx8bN7SlGXevq5Bl4Ii54QMmrV708be/rd20Oyq9TDXWHi163DH0nglTHu8XwFQdoCn7RhOAW0vW+T17z2dX3q8sj5a9Qv1MOV/gyrF/j5Ws8noF9wnxMffEirYgOy01JTUlNSU1LavQytHFxcXN29/f066mZ3CKCzLTUlJTUlJSU9Ozi22cXFxd3H0a1HerbsrQ5qZevpyQlJyclqOxd3F192kQ6OtU2a9+/eNOg7/SbT/TZ0Hcv09ffVejOC81/tKlS/EZlm6+9QMCfJ0U/D/2RXkZqSkpKSkpKakZ+Rb2Ts7ufg0b+jpUMkdXGHdk+ynd1oEWfm16t7x+58CcC/t2R2WKiIhdQIeuTYxPapbcNutKXFxCQmJaga2bt7df/foe9lWZLEw+te1InC4QujXr3s7f6D+ezHO790Xr5k0dG952W0MzvaYM1DyCHQCoiOFgB+BWwJtDAAAAKkGwAwAAUAmCHQAAgEoQ7AAAAFSCYAcAAKASBDsAAACVINgBAACoBPvYAYCKKNqGF4DqEOwAAABUgqVYAAAAlSDYAQAAqATBDgAAQCUIdgAAACpBsAMAAFAJgh0AAIBKEOwAAABUgmBX486fP+/h4eHh4bFr164bXQsAAFAzqxtdgPoVFxenpKSISGFh4Y2uBQAAqBkzdgAAACpBsAMAAFAJgh0AAIBKEOwAAABUgmAHAACgEgQ7AAAAlSDYAQAAqATBDgAAQCUIdgAAACpBsAMAAFAJgh0AAIBKEOwAAABUgmAHAACgEgQ7AAAAlSDYAQAAqATBDgAAQCUIdgAAACphdaMLMANt7pXTESdjEpJSszWO7h6+QcEhTT1tzDlA9qXjRyNjE5PScq2dPTz8GoWENHS1NOMAAAAAZlDHg11O9Kali3/859iVXG2Z72rs/UIHPjTpwV7+1Y132oyTf3215NdtZ1IKyn7b0jngtmHjnri3kxfxDgAA3DQ0Wq228l43JW3i9o9e+Sg8vtDAdZuAwS/PevI2V5MHKLq49t0ZX+xLKTZw3aH5fW/OHNvSvpLbREVFNWnSRES2bdvWs2dPk8sBAAAwrs4+Y5d78tu35pWmOhuvVj0Gjhg9avjt3Zq762ch82PWzZn5S1SRiQNk7Pn0zcUlqU5jX69tn8EjR48a2q9TQ2f9Ly379M8z398QX1eDMQAAUJs6uhSrjV616Pdo3fKoffO7Xp7xSAf3koxalLDri5kfrovOE8k7/ePidX3eH+ajeID8Yz98vjlBl9lc2z4846XRLZ01+mt5MZs+mblw2+UikYwD33y9rfsrvZ3N8DMBAABUT92cscve+cPv5/Spq/vTr427mupExNKn66TXJrRzEBGRwhM//3zA0GKtYUkbl61PFBERje+gl6bffTXViYhtwICpM+5vaq0r5b/lv0WZ+GMAAACYU50Mdjl7t+7LERERTeORD/e6/ik6jc/tDw+ur2un7dx6WOlybNLOrcd1n7Fqf+/YNtc/RWcZdNeDYS66dty2rWcU3h8AAKAG1MVgV3Bg9379S6ot+/WrX2EfTdMB/YJ0zaw9uyOUPQeXumf3Kd0nrDr2713x2xc27Qf0ctc1E3bvZs4OAADceHUx2MVERubrWv5tQtwN9fIPbaO/lhkZGa9ogKjIs/ok2KxNiK2BTprmoW3012Ijz+YqGgAAAKAG1MFglx8To89pmsDAAMP9AgMD9a2LMTFKpuySL8Rk6VrOgYEGg6NYBgb661raizEXFdwfAACgRtTBYJd4Rf+2qrj7+lgb7ufg6+eka+VeSchUMEDClQR9y8fX2Pu0Pr6++lcqrpSWBAAAcMPUwe1OcrJz9C0nRydjHR0dHUUyRURycnJEqrwlSU5O1QawdnS0FskXEW1OTp6I3TVXL168GBsbKyJxcXEuLi4ZGRlVHR8AAMAkdTDY5eaWPNBmY2P0yDDb0stXo1qVBsgpGcC6sgFsdcFOsnNyyge71atXf/XVV7p2s2bNDh06VOE9guYrqKx2RD93tX0TlidUaA43eYVlyxMqNEndqvAmLE+o0Bxu8grr1v9MqqgOLsWWoam8S/XuX9MDAAAAmE8dnLGzs7MTSRMRyc/LN9YxL7/ksp29nbGO5QewtxPJKR3A8Efz8vP0LXu763qNHz9+7NixInL+/PkOHToUFZl6thkAAEDV1MFgZ+9QsmFwZpbRdyKysrJKPmJ//R7DRgawt9cHu8ysTBEXQ/0KsrL02+lp7K9Pjra2tra2tiLi5OREqgMAALWgDi7Fenl561dIU+ITCgz3y46/rM99dj7eSg5z9fb21rcS4hOM9EuIj9e/C+vl48OiLQAAuNHqYLCzCQz01bW0Fy7EGO534cIFfatBQKCS3OUZGOioa2VcuJBisFvRhQuXdC1NQICR/fQAAABqRx0MdhLQpIn+ZdVLRyMMBq9LR47qrzk2aeKraIDGTRrrg+CZoxF5BjppTx85qr9Wv0kTJc/wAQAA1Ii6GOysO3bpoN+Y+OQ//8RW2EcbuWlLtK7p2KVrG2ULpW6duzbXfaLwwOataRX2yT+4aZs+OHp36dpY0f0BAABqQl0MdmLfuU8n3dsQ2qjfv9t2ffLSJvz93Tr9Oqlr995tLRUO4NW9T7DuMwUHVyw/ev0meEUXVi37N13Xrte7dzOF9wcAAKgBdTLYiUP3MSMb6ubU0nYunPntgZTiqxeLEnZ9/s6SQ9kiImLV8r77Olz/6m/R+W0/6q07XsGREJ53PDjIS0REtPHr58z69WRGmSPD8mM2ffTOT5G69zYcuo29i/k6AABwM6iD252IiGiC7po8cueMVdEFItmnf3tzwrZWnTs093Uqzog9tXfv6ZRCXTfb5g9MGlzRca9F57f++ONuERFpZB02OPi6l2ZtWo+Z1H/vu5sTtCJph797+fFNoZ3bNvK2L0yJidhz4HyGfvsS5w7jxvUyuB8KAABAbaqjwU7EruWjb0xJemXe1vhCEcm/cmL7hhPX9rAJGPzSa/c0VroMW8K589NvPJH66hf7U7Qi2pzYw+Gxh6/t4dD83tdeHujHRicAAODmUDeXYkVEROPV63+ffPTs4BAv2zO+wXEAACAASURBVHLZSmPv13bkix/Pe/I21+oMYBkw9PVP33+8X1N363JXLJwCutz/+qfvP9hSycbHAAAANarOztjp2Dcc8OSs/uMSTh05GXMlOS1HHNw8fQJbhTb3sjH6OcuGvR94QPdonFuwk+F+GueWI6Z8NOyJS8ePnLmUmJyRa+no4eXXMKRNY9c6/psDAADqo4Z4orHzadnZp6WSj1g27PVAwyr3tnDwD+nqH6K0LgAAgFpVh5diAQAAUBbBDgAAQCUIdgAAACpBsAMAAFAJgh0AAIBKEOwAAABUgmAHAACgEgQ7AAAAlSDYAQAAqATBDgAAQCUIdgAAACpBsAMAAFAJgh0AAIBKEOwAAABUgmAHAACgEgQ7AAAAlSDYAQAAqATBDgAAQCUIdgAAACphdaMLuNVFP3ejKwAAAGrBjB0AAIBKEOwAAABUgmAHAACgEgQ7AAAAlSDYAQAAqATBDgAAQCUIdgAAACpBsAMAAFAJgh0AAIBKEOwAAABUgmAHAACgEgQ7AAAAlSDYAQAAqATBDgAAQCUIdgAAACpBsAMAAFAJgh0AAIBKEOwAAABUgmAHAACgEgQ7AAAAlSDYAQAAqATBDgAAQCUIdgAAACpBsAMAAFAJgh0AAIBKEOwAAABUgmAHAACgEgQ7AAAAlSDYAQAAqATBDgAAQCUIdgAAACpBsAMAAFAJgh0AAIBKEOwAAABUgmAHAACgEgQ7AAAAlSDYAQAAqATBDgAAQCUIdgAAACpBsAMAAFAJgh0AAIBKEOwAAABUgmAHAACgEgQ7AAAAlSDYAQAAqATBDgAAQCUIdgAAACpBsAMAAFAJgh0AAIBKEOwAAABUgmAHAACgEgQ7AAAAlSDYAQAAqATBDgAAQCUIdgAAACpBsAMAAFAJgh0AAIBKEOwAAABUgmAHAACgEgQ7AAAAlSDYAQAAqATBDgAAQCUIdgAAACpBsAMAAFAJgh0AAIBKEOwAAABUgmAHAACgEgQ7AAAAlSDYAQAAqATBDgAAQCUIdgAAACpBsAMAAFAJgh0AAIBKEOwAAABUgmAHAACgEgQ7AAAAlSDYAQAAqATBDgAAQCUIdgAAACpBsAMAAFAJgh0AAIBKEOwAAABUgmAHAACgEgQ7AAAAlSDYAQAAqATBDgAAQCUIdgAAACpBsAMAAFAJgh0AAIBKEOwAAABUgmAHAACgEgQ7AAAAlSDYAQAAqATBDgAAQCUIdgAAACpBsAMAAFAJgh0AAIBKEOwAAABUgmAHAACgEgQ7AAAAlSDYAQAAqATBDgAAQCUIdgAAACpBsAMAAFAJgh0AAIBKEOwAAABUgmAHAACgEgQ7AAAAlSDYAQAAqATBDgAAQCUIdgAAACpBsAMAAFAJgh0AAIBKEOwAAABUgmAHAACgEgQ7AAAAlSDYAQAAqATBDgAAQCUIdgAAACpBsAMAAFAJgh0AAIBKEOwAAABUgmAHAACgEgQ7AAAAlSDYAQAAqATBDgAAQCUIdgAAACpBsAMAAFAJgh0AAIBKEOwAAABUgmAHAACgEgQ7AAAAlSDYAQAAqATBDgAAQCWsbnQB5lGYnZKUlJyarXF09/DydLOzrO4Ns2JPRiUVVNrN2rNxy/qO1R0MAADAHOp6sMuL2fHbr2u37Iq4nKPVf8vC0T+0W99h947s7Gdj8n2jVs+asSa10m5uQ9/9bmIbk0cBAAAwo7oc7AourP/o3SU74spNrBVnXTq0admh7eEDnnr16T71WGwGAAC3iDob7LRJ2+a9uWhHon6eTmPrVt/fx7E4/XLs5fR8EZHcmE0fv2HpOPepTq7VGcfOp1lTH1tDV51ZhwUAADeNuhrs0sI//3S7PtU5B49+5pl7uvg7aESkODN6+4/zP1sdmS1SdHnD/K+6fDG1k73pA9W7/flZ9zUwT9EAAAA1qW4uVBadWrFsd46IiFg2vOetmY901aU6EbFwCuo9Ydarw/10X6eFL/09+kaVCQAAUJvqZLArOrLp3wRd02PQE2OaWpfvYBfy8GN9nEVERBu9eXNkrVYHAABwY9TFYKeN2LUrQ9dsMGBQSIVbm9h2HtzXQ9dM+G8nyQ4AANwC6mKwizt5Ik3Xcm/bLshAJ02LdqH6R+viT55KqZXCAAAAbqQ6GOyKL1y4pG82adLEYDeLps0a6ZsxF2KqNWJBRkJM1KmTp85GX7qSka+t/AMAAAA3QB18KzYxrmTnOmdfXyPvu7r5+trK8TwRSYuLy5ZQB5NGi9sw85FfLqdcjXNWzvWbhnbpP2RY3zbepm+ADAAAYHZ1cMYuKztL33J1MbpFnatryeXsrGxTR8tNjEu5ZpKuMCP25I5VC2dMevr9P09nmnpbAAAAs6uDM3a5Obn6lo2t0Smzq5dzcnJMHc3CxsHFzd3dzdm2OC89KS4uJVef8gou7/hyenz6O7MebGlX0QeXL1++YsUKESkoKAgJCTl+/LipJQAAAFRJHQx2hUWF+palRYVvxMp1l69+pKpcmoTdN7l1pzbBTfydy/yOirPjjm1b89MPa46mFIlIfuSK2V+1XvxU+wqiXXp6+qVL+ocBbW1tNRqNwhIAAACUuZmCXWFS1InYrAov2Xo3a+6nT092tnYiGSIi+QX5xu6Xn58nZT6iSNCA8RW9b2vhUK/NwMfbdOv89atv/34+X0RS/l629u72o3yv69q1a1cHBwcRSU5OnjNnTnFxscISAAAAlLmZgl3GrsUzFp+o8JLf6I+/eKSxrm1nX5LSKllhzcktWbO1d6jGoWIVcAkd9+I9R55eHqUVKT7z356kUcM9y/dp3759+/btRSQqKmrq1KlmHR8AAKACdfDlCXd3/c7DknTlipG9RwquJOi3u7N0d3M2cxGagAH9m+vb56LOmfnuAAAAJriZZuysPBqHVHyOhHj6XZ1ycwpo4C6HU0Sk6FJsvIifgdvFxsbqY1/9BgFGH8YziadfPRs5lS8i+WlpuSJKF3sBAADM7GYKds7dJs7qVoV+gQ0baiRFKyLnjh/PHe1XcaRKjYjQv7pgFdTQ32xFlirKzdVvp6extbnutFoAAIBaVweXYsWxY6dWuldMiw5vLzk1trzEHTtP6VqWbTu1M3/wKjoWcUI/Iejm6WX+CUEAAACl6mKwE69uPZrrkl3+/t/+jCq6vkfeiZV/HNV936pdj86O5q6gKGbVss36J/gc2rZrbrw3AABAbaiTwU68br+nr+5UCe35X+d+vifxmq1EiuLDF3y49rLuC5/B9/Rxuu4G2tToo3qRV67bMyUrKSGrgrSoV5xy7JeZr31/Uv8x3/4D2zFhBwAAbgI30zN2Cth1HvtI+92fHMwSKbq04d0pZ3sPuv225r5Oxemxp3Zt2LAzWn/Wl2vPcfcFV7AOW3Bo2YyPdouISKOHF8+/u941V49///Q7Ox0atmgd3LKRr5uzi4uLs5ODdVFuRtLFyGP7t/8XcaVkgzyNd/+JD7Suo79EAACgMnU2k3gPeGn6+Zfe+DOmUESbHhm+IjK8fBfbpve9/mwPF5Nur81NPnd427nD24z0sfLp/tTbT3e6fj4QAADgRqibS7EiIuLY5vE5c5/sG1jRS7Eah6aDpnw0a2wzkzYhcfL2czaaeDUO9TuMmDJvwbT+9VmFBQAANwtFM3Zpvz0z9KODIuI2esFfz7dX0H/79r9MLNAoxyaDn18Qdn/Ef9v3noi5kpyWIw5unr6BwZ17dm3lY2fkcFYLt6CQEN3pZfW8bcpfbTX2k2X3pseePXni5NmLV1LTM9LT0zPzxdbB0cnNL6hp81ahbVsYvT0AAMANoCjYFcQe3bFjh4h4tktT1t+U0qpIY1+vTb972vRT9CGrdg/Oamf0rtYu/i07+7fsXK3aAAAAalEdXooFAABAWTX68kRxsX4bEh5EQ02Jfu5GVwAAwE2jRmfskpKSdA3nmhwFAAAAIjUa7IpO/7HmpK4ZVHOjAAAAQMf4UmzOgR/mb7xQ+mX2fxdKv//ee7sMfqwoPzPx/OFNf6yN0C3FBvesfqEAAAAwzniwy9r5xSuvXLfxr0j2f0te+a+qQzjdMeUxxXUBAABAoRp+K9bG/47XVn0/IbBmRwEAAEBlM3b2ISMmTmxZ+mXusT+Xbo8TEbvWwx/pWd/AhzQW1rYOTu6+jVp16DWgTyuPOntqGQAAQJ1iPHU5hk39POzql4mfntQFO8ewqZ9/GmbgQwAAALgRFE2nWbkHtmjRQkTc/RxqqB4AAACYSFGwcxv73cmxNVUJAAAAqoUjxQAAAFRC6ZsN2ty0pMwCEbGwd/NwNPZpbW56Uma+iFjYu3o4WpteIgAAAKpC4Yydduvzzb29vb29fe76LrmSvjunhXh7e3t7e434MsHk+gAAAFBFCoPd/nXrdCGt45AhPsa7anoNGeQsIqLdvn6DSbUBAABAAWXBLnLTpmgREWk6YECl579a9xvQ20JEJP+fTaaUBgAAACWUBbvoaF2uk6CgSnOdiENQkJeIiGRGKy0LAAAASikKdoXx8UkiImJdr55nFfrXq1dP1+AZOwAAgBqnKNhlZ2ZqRUTEzt5eU4X+9vb2ukaq0rIAAACglKJg5+zurtvgJOPy5ewq9L98+bKu4aa0LAAAACilaB87TVBQgMg5Eflv+/bih++oJBVe3LbtvO5zDUysDjda9HM3ugIAAFBlyl6e6BAW5iwiIok/Lvgx0Xjfwj2fLNqta7YLM6EyAAAAKKIs2Fn1vW+0bvu6zL+ee/Cz0/mGOmoTNzz74LzTuiE63ju6GhUCAACgShRuUGw/cPpL3XTHgyVteKpLz0lLtl8sl+6K047/9vaIjsMXnSkUERHfh955poU5SgUAAIAxSs+KlWbPL//079smbkgSkdS9i5/otWRqQNsuHZrX93SyzE1LOH90975TSaVZzzr4hRXzBzmatWQAAABURHGwE4tGT/zyd+5Dd73wR3ShiEhxZszBzTEHK+jp3vmFZSvn9Hatbo0AAACoAoVLsTrO7Z9ddWDXty8Na+FccQebej0f++DvQ9s+GNLApAEAAACgmPIZOx2NR8dH3l/98JtxR3f+u23viZiEpOSMIjtXT6/6Tdt3D+vdqZGrqXcGAACASaoXvzT29UL7PxDa30zFAAAAwHSslAIAAKgEwQ4AAEAlTF+KLbi8d9XPv28M33PyYkJSanZBsftDy/e80UV3UZsRdzY+S0QsXOo39nEwT60AAAAwwqRgVxy/8e1xT8xZF51T9rueV65+qUn7Y1KbJzfnigQ+teXMp2E21SwTAAAAlVG+FKuNWXZfpyFvlUt15TV4/J2JDUVELix546tLptUGAAAABZQGu+KI90dP+PVikYiIU8i9r3/5x6op7SvqaNX1iXFtRETyt369LLKaVQIAAKBSCoNd6so3Zu/NFRFx6j1nx96f33psRM8mLhX3DR49uqWIiOz7bVW1agQAAEAVKAt2mX8t/zNdRETT4ZWv/hdqJyKi0WgM9A7u1k13nNjBndWoEAAAAFWiLNjt2r69UEREbrv/gaaG8lwpTWBgAxERKThjQmUAAABQRFGwK4iLSxIREbvg4EZV6O/m5qZrJCstCwAAAEopCna5ubm6hq2tbek3DS/FSmZmpq7BRnYAAAA1TlGwc/bwsBYRkcyUlMLKuxedOnVW1/JSXBcAAAAUUvaMXdOmTUREpOjw4YhKOxdsW7dZN2Pn1U55YQAAAFBGWbALvf12XxEROfXLT4eKdd8zsBSrjfnynaVxIiLi0K9/NSoEAABAlSgLdpqeEyYEa0RETi945sNjBQY7Jv7z8qj/6efrAiY8fWc1KgQAAECVKNyg2KLN/+Y8Wk8jItnbX+57+4s/7I/Pu6ZD/pWj6z57unfbgXP3ZYuIiOfwd17qxVGxAAAANc5K6Qdch362+u0TfV7blaW9Ev7B2E4fWFvr75H6w5gG3yfGphdoSztbN33ih6UP1zdbtQAAADBI6VmxImLX8dVNO78Y08xO92VBgf4F2aKUuEtlUp3Gs+f0DTs/v8PdHGUCAACgMiYEOxFxDJ2w/MjpfxdNGd62nkP5dycsHANuu/vV5QfPhL/b17vS4ykAAABgHoqXYkvZBfSZNK/PpHkFyWcOHz13OTE5Ld/K2cO7XuM27Zrpt7sDAABA7TEY7Da/9+j3J0XEecC0BQ+2NHIHa49mnfo0M39lAAAAUMTgUuyJ9UuXLl26dOmPuy6Xfi9txcROnTp16tRpwNz9tVIdAAAAqkzRUmxBwqn9+/eLiGfXjBqqBwAAACYyOGNnrX9MLj8/v7ZqAQAAQDUYDHaurrpLGTExabVWDQAAAExmMNiFhLTSNTYteve/pOLaqgcAAAAmMviMXeu77mr+1rHTIoX75/YI+KZRkyBvR4k/rruY9uvkrvtcqj6K265d66tbKQAAAIwyGOw0bV/4eMLyYUvOFYtocxKjIhKjrl4sjD+xO17BKJ7VqBAAAABVYuTkCbfBn+/cOHtMRx92GwYAAKgDjG53YuHXf9ryfS9/GX/q2JnYpPScpNXTxn4eISIuQ2ctn9Sm6qPYVLNKAAAAVKoK+9hp7H1bdvJtKSKJUXN137Ju2G3YsLCarAsAAAAKGVmKBQAAQF2i6KxYt3s++69TuohY+wXXTnkAAACoKoPB7sT6pUvDRcTT6dHSYJcVPv/pOftFxO2+xZte7Fg7FQIAAKBKOCsWAABAJTgrFgAAQCU4KxYAAEAlOCsWAABAJTgrFgAAQCU4KxYAAEAlOCsWAABAJTgrFgAAQCU4KxaoWdHP3egKAAC3DM6KBQAAUAlFJ09wViwAAMDNS1Gws/IN7upbU5UAAACgWhQFu+sUZ12MOHTyYkJSanZBsW2L2+++jdwHAABwg5gY7Arjd33z/sx5S/8+kVxQ8j3Pp7aUBjvtiaXPvvt3iohF8KMLpg9wNUepAAAAMMaUYJe0/d17Rr+2JUFruIumZdcGxx/79GCRWBwKGnFkZggvaQAAANQwxYGr4OT8UUNf1ac6jWNg+27N3Svopmkx+YXhDiJSfGzhxxvzq1smAAAAKqM02MUseuKlrekiIratHlkWERd94M9nQivs6TzqkbucRERSflm2tnpFAgAAoHIKg92eBR9uyxcRcQibt/abscHORvrah/XtqhERSd+82eT6AAAAUEXKgt2JDRsuiIiI99hXJjTUiIiIRqMx0NutffuGIiJyeZ+p5QEAAKCqlAW748dP6D7Vo0+vKrx24eXlpWskKC0LAAAASikKdhnJ+s1NnH197atycwv97XOVlgUAAAClFAU7Ozs7XaOgoHT3OiNLsZKQoJ+q8zChMgAAACiiKNhZ+/rqtjbJPn/+SuXdE3bvPiciIpaBygsDAACAMsqesevcrZuliIjs3rIlW/89gzN2Z775Zruu1b63idUBAACgypQFO7fBd/a2ERHJ+mPe4kgjJ09IYeTCie/uLRYRsegwaqTpBQIAAKBqFO5j5/fI648Hiojk75o++pn1sUUVdcq/uHn20N7PbskQERG30TMmt6hmlQAAAKiU0rNibcPe+frJzYMXnSrIPbJwSPDmoWOGW13UXcqP3PjlvH8Pb1+3au2eSyXvwfrdv+STUa7mrBgAAAAVUhrsRNz7L1j7XcaQ8ctO5WjTTv616GTJhYwNsydsKNvTwm/g3NVf3u1nhjIBAABQGaVnxYqIWDa+//t9u756KizAzmAfl1Yj316zZ83UTo6m1wYAAAAFlM/Y6TiFjv90y0OvHVjz+9otW3cdOXc5MTkt38rZw7te49Ae/QeOGDkoxMOU0AgAAAATmRrsRETE2rfDyIkdRk40VzEAAAAwHbNqAAAAKkGwAwAAUAmCHQAAgEoQ7AAAAFSCYAcAAKASBDsAAACVINgBAACoBMEOAABAJQh2AAAAKkGwAwAAUAmCHQAAgEoQ7AAAAFSCYAcAAKASBDsAAACVsDLxc4XJEX//uWHn/ojIuOS09Oz8Yq2x3q6bNq00cSAANSz6uRtdAQDATEwIdrlnVr4+6blP/rmUV+WPeCofBQAAAMooDXaFJz67s9dTG5NqpBgAAACYTmGwO7fo8aklqU7j2nLg3SPD2jet5+5oY/xZPVsTqwMAAECVKQt2J5d/tVO3AGvX9oXVG+cM8OHlCwAAgJuEomBWdPDgUV0raNLC90l1AAAANxNF2SwnK6tYRERse/ftblkj9QAAAMBEioKdU716TiIiYmNnp6mRcgAAAGAqZauprUNCREQkIzo6uSaqAQAAgMmUBbuGYx7ubSkisu23VYk1Ug8AAABMpPD9h3qPvvdiG2uRnPWvP7syrmZKAgAAgCmUvthq3+2d3xbd2cBSYn98oNuds9acyTR6lhgAAABqi/IjxSybPrbqYNNXhw+dtevPGcP+fMuredvgQC9nW2MR0fWvv5abXiMAAACqwISzYrOPfv/WjK/3Z+m+yk88vXfr6Uo+wlmxAAAANU5psCs48dmovk9t4KxYAACAm43CYBf39eTnS1OdY+O+I+/s075J5WfF2plWHAAAAKpOWbA79fXn/+aLiIhN8FO/bfx4qL8JS7kAAACoCYreitUeP35S12owYeE8Uh0AAMDNRFGwy0pKyhUREZs+A3pb10g9AAAAMJGys2K9vXVPy9k5OirdAA8AAAA1S+FZsa1bi4hIekxMWk1UAwAAAJMpC3ZN77mvg0ZEZOsff6bUSD0AAAAwkcIV1SZPzXu2uYVI1urX/rc2sWZKAgAAgCmUPirn0Pu9VQvvDLDURn89uvuY+f9ezKuRsgAAAKCUoh1LMja+PeHr4yI2jQNtYs7lnvlxSt8VrwW27RgS6G38rFiXn376opqFAgAAwDhFwS7v9D8//xx+zbeKMi4c+PfCgUo+6EmwAwAAqGnsWgIAAKASimbsnPpOXbTofhNGsTfhMwAAAFBEUbCzaz1iUuuaqgQAAADVwlIsAACASiiascs58MP8jdHaYq1dxwefHxhYUzUBAADABIqCXdbOL155JVxEPJ/qTrADAAC4uShainVwcKipOgAAAFBNyoKdr6+TiIhkZ2fXSDUAAAAwmbKXJ0JDQ0VEJCcyMrYmqgEAAIDJlAW7gFGjb9OIiOxasSKmRuoBAACAiRRudxI06YNnmmlECnbMnLj4TGHN1AQAAAATKN3HzqH3eys/GdbAUpLXPdktbMo3u2LzaqQuAAAAKKRou5OMjW9P+Pq4iH2TAJuL5/OTdswf323B0/WC24UE+bg52RoOiS4//fRFtUsFAACAMYqCXd7pf37+Ofza7xVnx0XsjIsw/kFPgh0AAEBN40gxAAAAlVA0Y+fUd+qiRfebMIq9CZ8BAACAIoqCnV3rEZNa11QlAAAAqBaWYgEAAFSCYAcAAKASBDsAAACVUPSMXXnazJj927fu2H3wTGxSSkpmkZ2rh4dPUMht3Xv17trC09pcNQIAAKAKTA12aQe/efv1979ccypdW9FlW/8eD0x54+0ptwdUKzkap83PSLh04cKFC9HR0RcuxCZlF2pFRLz7PvP87fXMN0xxRszhnTv3R15KTErLtXL28PRrFNq1Z6em7iRXAABwUzEld2Uf+uyBu57/83y+4S55l3Z8++LAP1ZOXf77B4N9Ta7OoIxt819asiMuNbf4+mv+wTnmGkabdmzVwvnLd10uuPb7a1Z85RYy8ukpYzv7kO4AAMDNQnGwKz7//f2DnlodX/K1xtE/9LYuoU193R2tctOvXDyxf9f+M8kFIiLalF0fjhpi98/Wd7o5mrNmESlMib2Ummvmm5ajTdn10YuzwxMqnJIsTo347Z3nzz75/puDG1jWbB0AAABVozTYJS579umSVOfQ8v43P5456Y6mzpqyXQoS9v08d+r/5m2LLxLJPTBr/HujI2a2r4H0o7F29vYP1HM+88uify6Z7+baCytnflCS6iw9W/Ud1K9DY2+7gpSYiO3rN+2PyxWRjMOL31rS4NNJbWzNNy4AAICpFAa7Ywtnr04XERHHLm9s2vRmV6fr+1j7dHpw7pbet43pef+KGK1oT86bvXLminvNUOxVLr2mLOrlXs/drvSt3oRf/zLnACmbv10RqVtrtmk2+q03H2ntrL/SqXv/IQPXvDdj8f50keL49V/9PmTefYEaw7cCAACoHcq2O4las+akiIhYdnp12RsVpboSloH3Lln4kJeIiGRtXGNyfYZu717Pv0yqM7tzq3/dp1vptWn9yMsPl6Y6HdugoVMn93IVEZHiqN9/O1BYY4UAAABUmbJsdOTIUV2j+0MPN61skspl6CN36ZJd2lETKruRzu3cGatrufS5Z6BPBT+pc7d7hwTomlm7dxwuqr3aAAAADFAU7DITE3XTWI7Nm9evwr2bNWusa11RXNcNFbt/nz7XOdzWo71NhX00QT26N9A1s/btO15LlQEAABimKNjZ2OhDTkG+ka1OrsrLy9N/UFlRN5j2/LkYXUvTMjjY4MRkYEiIi66Vej46rTYKAwAAMEZZsPP1dRMRkfx9+45U3j3rwIFTulYN7GRXgy7HXNTnVnf/+naG+9WrX7INckxMTI1XBQAAUAllz9h16d5dt23JiS8/Wp9hvK/29Ocfr9Gt3DbsYVJtN0pySrK+5e3tbaSfl3fJ03fpKSkV7JQMAABQq5Rtd+I29O7+9ms35ojELX347tC/V05tW/GbsUWXVj8zcsZ/uomvRnePrnadtSk3t2TrY3t7eyP9LOztbEVyRURycnNFHK65evDgwSNHjohIcnKyn59ffHx8RfcAAAAwG4U7hvg8NPPZFrppqisbX+gScscLi9Yeic26Ol2VnxK5/ad3H7ot5M5FJ3QP2LmMePflrmartxZoc3NLniC0sTb6dGDpM4eSm3vdMWa7du1asGDBggULli9f7u/vb2FRc5uzAAAAiCg/ecKq81sr5+7u+b9/U0UkL/rvjyb//dFkSwdPv4JLQQAAIABJREFUX283B4u8jKSEhPT8MmdwWTV78uevHvAyZ8U1TmNlaSFSJCJSVGx0H5Orl60sr/tFuri4+Pv7i0hBQUFMTIxWW+HRZAAAAGaj+KxYsW39wp/hzpPvf37ZiWz9t4qyk2Kjk8p3tKzX79Xvvn99QJVjXcZ/i2evjq7wkmefZ14YWK/CS+ZnZ28nkiUikp+XX36Ftaz8vJKpvQrWbMeOHTt27FgRiYqKatKkSY1UCgAAUIbyYCcizqFPfH9g0GPffTJ/8Y8bD8Vml3txwNqjec9R45+aMnFUazclR20VJkdFRJyo8JJfi+uWOmuOo4OjPtilpaeJuBnql52WVqBrWdo71K0dXQAAgBqZFOxEROwCw574IOyJDwrTzh89ciY2KSU1q8jO2d3Dt2Hrti187Ory2an16tUTSRARSYiPFwky1O/q+xBXNz4BAAC4YQwGu83vPfr9SRFxHjBtwYMtjdzAtWH7Xg3bm6MW564T3w3MqvCSrXcVTrowF8fAAHc5nCIiuWfPXpLO/hV3y448oz+fwjIgwEAfAACA2mMw2J1Yv3RpuIh4Oj1aGuzSVkzsP2e/iLjdt3jTix3NXotn4zae5r6pKZq0amXz1858Eblw6FDKA/7uFXXKP3rohH4Nummrlpa1WB4AAECFFO3BUZBwav/+/fv37z8UXcnuxHWbXadu7axFRER7Yv36il/nSAtft0v/3F/T7t18aqs0AAAAgwwGO2tdspH8qh0Lqy72XQb0cNY1o1d9/lfsdcdKpP33xbIDujcnbNr07123jkwDAAAqZXAp1tXVQqRYJCMmJk3EtTZrqgWFh5a9vuK4iIjUG/jCM33KrwDbdR1zX4vtX54qFMk99uWMmXlTnhze1sdGRKQo9fSmbz5esi1F19Nv6CODbor1YwAAcMszGOxCQlrJymMismnRu/+NfK+b5012cMLp3978dl+ZycT8Kxf1rStbPp1+3K5M15Axs8aEXPvp4tToiIgIERHJ6lDhlKTf0Oce2/fS4kOZIsVJ+5e+9sQKT39/L7uClLiLCZkl+xLbNL576gPNeb4OAADcFAwGu9Z33dX8rWOnRQr3z+0R8E2jJkHejhKvm+SStF8nd93nUvVR3HbtWl/dSsvJvHQ8IiK3oiv5VyIjrpT9hkuaKQNYNhg67fWc92YvP5RSJCLFOUkxkWU3YdY4Nhs+9dWHWtoZugEAAEDtMhjsNG1f+HjC8mFLzhWLaHMSoyISo65eLIw/sVvJmfZ1dK3SoeXdby1st/mXleu37j2dVDqxZ+kc1L7n7SPvHRrqyWQdAAC4eRjZoNht8Oc7NzZ+4eV5v+xPKKi9iqqo2ag33g277qWGCrkGXvct63YPvvvuCBERsfczFjs1Tk0HjHt5wKP5mUmJSSnpuZZO7p5eXq52N9nCNAAAQCUnT1j49Z+2fN/LX8afOnYmNik9J2n1tLGfR4iIy9BZyye1qfooNXDelrN/6zam7wqscQtqY/CosIr62zh51XfyqsVdkgEAAJSqwpFiGnvflp18W4pIYtRc3besG3YbNiysJusCAACAQiwpAgAAqEQVZuyucrvns/86pYuItV9wDdUDAAAAEykKdtqCnMzMTBGxySuqtLOIFFzcH34yRURsBgzobUp1AAAAqDJFwS7t9xdufyZcRDyf2pL4aZiC/lptomn1AQAAoIp4xg4AAEAlaifYaWplFAAAgFtajQa73Fz9mV//b+++A5uq2jiOP+nee9ICLW0pUnaZQgEBZSviQByouHGA21dAUYa4ELcgooCIOFFERfZGKGWUMlpaaKHQvWfaNO8fCTsp3Umv388/3ObemzwpTfLLOeeew7JbAAAAja4xg53m2LEE3ZZHIz4KAAAARKSWF0/UmLYi//ShtfNeXZEjIiIOtVikAgAAAHVTfbDL/uKmgClbL/6sUV+43W6R8cY+TUV55SXLuLreMrY+JQIAAKAmqg922kp1eXm5gR2aiprNZCdi4TNy/pxba18YAAAAaqdxumJFxNLJv22XqBH3PPPCI339uCoWAACg0VUf7Dwn/nLudvWFH3O+Hhvx6i4R8Xjw57g51xs5SWVhbevg5Oxoa0meAwAAaDrVBzuVg4efwyUHO9tcvN3PrxHLAgAAQG3VqivWZehrK1ZkiIht2/aNVA8AAADqqFbBziZs0F1hjVUJAAAA6oW1YgEAABSCYAcAAKAQdZ/upDIzdt1fG3buPXjibHZeflHppVMSX8l18+bf6vxAAAAAqIk6BbuSo0teenzqoq2phuYuNsSzLo8CAACA2qh9sCva+b+oG+ceKGmEYgAAAFB3tQ12xX8+c/v5VOcUMXbSw6NDD7/36FdxIuI8YuY3E1plJR/e+tt3P+5MVYuI14BX3p/Sy0VsG7psAAAAXKmWF08kL5q59JyIiDgPeG/nvp/fnvLArV28dPtsgvuNHTfh0Zfe+XbHicPLHmhnK5K15aN5uz1uHDO8gasGAADAVWoX7DL//H23RkREOr2w4LmORhvi7MLu/eqvD250ESk5+M4Dr26l3xYAAKDR1S7Y7d27V7fR+Y47w69cCVar1V56x0GPvTUpRES0Jxe8+2N9SgQAAEBN1CrYlWdmFoqIiFVERNsL92Chvw+1Wn35XUeOHOYnIlK+7vf6FQkAAIBrq1WwuxDdHJ2dL5xob2+v2ygpLNRcfnxQUGsRESlPqkeFAAAAqJFaBTtnLy/dsLqigoIL3a727u66G6tSU9MuP76kRD+4LrM+JQIAAKAmajfGrmvXLiIioklMPHXhxvDwcN1G7IEDlzXZqY8f1x9lV+f6AAAAUEO1C3ZBN90UJiIiMZs3F56/sW2fPrqVJfJXf/tHwcWD05Z++ovuIIuw+pYJAACAa6nlPHadHpgYqRKRyn++XnZWf5vlDePv8BMRkezvH7n55e93Hk9OPrpl8ZMjn1tbJiIiNv1HNVzBAAAAMKyWwU7aPPbyHW4iUrntvbc2l+pusxwwdeZQRxERydzyzvi+7YKC2g986LMYfXNdyJNvPthwBQMAAMCwWq8V6377nM9fct+cL1J1IKZoYF8nEZHAh5f/Ejdk7PwDxVccbRlwy2e/zY1yaJBaAQAAUI1aBztRhdz19hd3XXmr500f7DkyasEHC35cH51wLk9t69m6Y79R90+Zcldn9ytnMgYAAEAjqH2wM8q61eCnPhj8VMPdIQAAAGqhAYMdAAAwjeTJpq4A5qG2F08AAADATBHsAAAAFIJgBwAAoBBGx9j98nS/efsb6lHctm//o6HuCwAAAAYZDXZnY3fs2NFQj+LZUHcEAAAAY+iKBQAAUAijLXaj3lodlN1Qj2LTUHcEAAAAY4wGu6A+o4KasA4AAADUE12xAAAACkGwAwAAUIiaLilWmZe4e+PGXYdPpWcXauzdvQPCevQf3K+zv32jVgcAAIAaq0Gwqzi56vWnn/9wTVLJFTssvXvcN+OTeZN6ujdKaQAAAKiNa3XFVh79ZGTvsW9dnepERJO595snB/R9Zm1Wo5QGAACA2qi+xa5y/6zxz63L0F68RWVlb29ZXlJedf6GsqMf3/fEgCM/3ubVaDUC+G9LnmzqCgCgmai2xa7o97c+OFih23bsMOGDPw6nl1SUFJep85O2L3tpUAv9yZk/zfz8aGMXCgAAgOpVF+zK/vz+twIREbEMf/bPnUumjIzwsRMRsXQJ7nvv2//s+HyYfnTdwe+/J9kBAACYVnXBbv+//6pFRMTltpkz+ztfudsy6NH3p7TXbR/bs6ewMcoDAABATVUT7LTJyWdERETVb9hQR4OHtB82tKWIiFQlJ59u8NoAAABQC9UEu8KCAt0lEs6BgS5GjgkMDNRt5OXlNWxhAAAAqJ1qgp1areuIFWtra2PH2NjYXHEwAAAATIMlxQAAABSCYAcAAKAQBDsAAACFqMFasZLz5Si3bw0fqFUXXfMYEfHMy0usS3UAAACosZoEO626OP9al0ZUf0xNHgUAAAD1QlcsAACAQlTTluZ0w3Off35XgzyKfYPcCwAAAKpRTbCzi7j58YimqwQAAAD1QlcsAACAQhDsAAAAFIJgBwAAoBAEOwAAAIUg2AEAACgEwQ4AAEAhCHYAAAAKQbADAABQCIIdAACAQhDsAAAAFIJgBwAAoBAEOwAAAIUg2AEAACgEwQ4AAEAhCHYAAAAKQbADAABQCIIdAACAQhDsAAAAFIJgBwAAoBAEOwAAAIUg2AEAACgEwQ4AAEAhCHYAAAAKQbADAABQCIIdAACAQhDsAAAAFIJgBwAAoBAEOwAAAIUg2AEAACgEwQ4AAEAhCHYAAAAKQbADAABQCIIdAACAQhDsAAAAFIJgBwAAoBAEOwAAAIUg2AEAACgEwQ4AAEAhCHYAAAAKQbADAABQCIIdAACAQhDsAAAAFIJgBwAAoBAEOwAAAIUg2AEAACgEwQ4AAEAhCHYAAAAKQbADAABQCIIdAACAQhDsAAAAFIJgBwAAoBAEOwAAAIUg2AEAACgEwQ4AAEAhCHYAAAAKYWXqAgAAMHfJk01dAVAztNgBAAAoBC12AAAACmmXpcUOAABAIQh2AAAACkGwAwAAUAiCHQAAgEIQ7AAAABSCYAcAAKAQBDsAAACFINgBAAAoBMEOAABAIQh2AAAACkGwAwAAUAiCHQAAgEIQ7AAAABSCYAcAAKAQBDsAAACFINgBAAAoBMEOAABAIQh2AAAACkGwAwAAUAiCHQAAgEIQ7AAAABSCYAcAAKAQBDsAAACFINgBAAAoBMEOAABAIQh2AAAACkGwAwAAUAiCHQAAgEIQ7AAAABSCYAcAAKAQBDsAAACFsDJ1AfWlKc05m5KckpJyNqukUkREXCKGjezkXs+7zYj+dUNC2TUPswsbfGt3n3o+FgAAQINopsGu7Ojqr/6ISUlJSTmTWay5fF/Anb3qH+zS9/26Yk3eNQ9zG9mBYAcAAMxEMw12pQnb1247auoqAAAAzEkzDXYXWdq5+7dq1aqVZ/6+jXG5DX//bh1HDu/gYmyvXZhvwz8kAABAnTTTYGff/uZJL97RqlWrVgHeTlYqEcn46blGCXbunUaOHxfY8PcLAADQ0JppsLML7Tss1NRFAAAAmBWmOwEAAFAIgh0AAIBCEOwAAAAUopmOsWtCmqLUuN3HU9JziiqsHJxdPPxDwtu28rBTmbouAFCM5MmmrgBQCoLdNZz8/qUnvr/iNku30L7Db71jTFRre5PUBAAAYAhdsXWgyTuxdcW7zz4zZ3WS8VXHysvLCwoKCgoKioqKLC0tm7A8AADwH0WLXTVUdh6t2gT5ebq5u7k721aVFWalJh49ciJLl+Yq03d/+dpcq3emD29hKLYtXrz4q6++0m136dLlwIEDTVc4AAD4TyLYGeYf9cSsUR0jApyuzGza0tQ9q75c8ENMlkZECmK++uyf7rOGe5uiRgAAgMuYU7Ari1//675Mg7uc2g8b3dm9CWvxat/Hy+AOlX1Ar/Gvh7R698W3t2eLiPrQT7/HD3+o7VUHjh49OjIyUkTOnTs3YcKEqqqqxq0YAAD855lTsCtNWLdixVGDu/xu69W0wa56Kq++T0zoueeDPWoRyYzel/xQ29ZXHhMYGBgYGCgiSUlJBQUFTV8kAAD4r+HiiTpy7t07Qr+Zdvas1qS1AAAAiJhXi5192I3jx3cxuMupvfk01+nZu7nZiKhFRFNUXCriYOqCAADAf505BTu7tkPGXz1WzVyV5uWpdVuWTo7MZwcAAEyPrtg6Kty9O06/6effgnUoAACA6RHs6kKbvfOLZXv0DXZekd2vunICAACg6ZlTV2wT0pza9sOuMyIi4tZ51PD2zpftTTu4KcU2vH1Yi6tmsRPRlqbu/e3LL1bGZOl+tulw283Np/8YAAAoWbMNduf2/Lg5sfLiz0VHsvVbBXF/r1hx6bUWLfuN79fy8rM1p7auWPGviIgEWw+8Mtid3vT5rI1lKhv3VqFBvu4uzs7Ozk4O1lVlhVlnThw9kphZduEiWOfODz45zKchnxcAAEBdNd9g9++PK9YZXKm1MO7vFXGX3nB9q6uCXU1o1bnJR3KTje638b/+wZenjAxgGVgAAGAemm2wa0z+XQb3SY89duJ0brmhCepUdn4do4aOHjuqV4Btk9cGAABgTLMNdv697hjvVXnt40SkZaurbrIM6j9+fBsREXFr73Tl3sCBj/1voIimJP1U0pnM3PyCgoKC4gqVjYOjs5tf65DQID+nZvt7AwAAytVsA4p/zzvG96zz2ZZBUeODrnmQg29IB9+QOj8IAABAk2K6EwAAAIUg2AEAACgEwQ4AAEAhCHYAAAAKQbADAABQCIIdAACAQhDsAAAAFIJgBwAAoBAEOwAAAIUg2AEAACgEwQ4AAEAhCHYAAAAKQbADAABQCIIdAACAQhDsAAAAFIJgBwAAoBBWpi4AAAAoX/JkU1fw30CLHQAAgEIQ7AAAABSCYAcAAKAQBDsAAACFINgBAAAoBMEOAABAIQh2AAAACkGwAwAAUAiCHQAAgEIQ7AAAABSCYAcAAKAQBDsAAACFINgBAAAoBMEOAABAIQh2AAAACkGwAwAAUAiCHQAAgEIQ7AAAABSCYAcAAKAQBDsAAACFINgBAAAohJWpCwAANLrkyaauAECToMUOAABAIQh2AAAACkGwAwAAUAiCHQAAgEIQ7AAAABSCYAcAAKAQBDsAAACFINgBAAAoBMEOAABAIQh2AAAACkGwAwAAUAiCHQAAgEIQ7AAAABSCYAcAAKAQBDsAAACFINgBAAAoBMEOAABAIQh2AAAACkGwAwAAUAiCHQAAgEIQ7AAAABSCYAcAAKAQBDsAAACFINgBAAAoBMEOAABAIQh2AAAACkGwAwAAUAiCHQAAgEIQ7AAAABSCYAcAAKAQBDsAAACFINgBAAAoBMEOAABAIQh2AAAACkGwAwAAUAiCHQAAgEIQ7AAAABSCYAcAAKAQBDsAAACFINgBAAAohJWpCwCAZi95sqkrAAARocUOAABAMQh2AAAACkGwAwAAUAiCHQAAgEIQ7AAAABSCYAcAAKAQBDsAAACFINgBAAAoBMEOAABAIQh2AAAACkGwAwAAUAiCHQAAgEIQ7AAAABSCYAcAAKAQBDsAAACFINgBAAAoBMEOAABAIQh2AAAACkGwAwAAUAiCHQAAgEIQ7AAAABSCYAcAAKAQBDsAAACFINgBAAAoBMEOAABAIQh2AAAACkGwAwAAUAiCHQAAgEIQ7AAAABRCpdVqTV2DwiUlJYWEhIjIzTff7OfnZ+pyAABAM+bl5TV79mxjewl2jS4rK2vq1Klff/11RUVFIz2Eu7u7paVlaWlpcXFxIz1EPXl5eYlIUVFRWVmZqWsxwNLS0t3dXUTy8/Mb77+pPmxsbFxcXEQkJyenqqrK1OUYYG9v7+joqNVqs7OzTV2LYU5OTnZ2dpWVlXl5eaauxTBXV1dra+vy8vLCwkJT12KYh4eHhYVFSUlJSUmJqWsxTPdWU1hYWF5ebupaDLCysnJzcxORvLy8yspKU5djgK2trbOzs4hkZ2ebZzxwcHBwcHCoqqrKyckxdS2GOTs729raVlRU5OfnN9JDtGnTJjEx0dhegl0T6d+/v9m+FQIAgOYiICDgt99+M7pbi+Zv3LhxkZGRH374oakLMapPnz6RkZG//PKLqQsxLDU1NTIyMjIyct++faauxbBdu3bpKszKyjJ1LYatXLkyMjKyf//+pi7EqHfeeScyMvK+++4zdSFGPfXUU5GRkdOmTTN1IUaNHj06MjJy4cKFpi7EMLVarXuZrF271tS1GJaQkKCr8NixY6auxbANGzboKiwpKTF1LYZ99dVXkZGRw4cPN3UhRs2YMSMyMvLxxx83VQFcPAEAAKAQBDsAAACFYIydEiQlJZWXl3t6evr4+Ji6FsN0/Q7+/v66gcPmpqKi4sSJEyLSunVrBwcHU5djQHFxcUpKioiEhYVZWVmZuhwDcnJy0tPTLS0t27Zta+paDEtPT8/JybG3tw8KCjJ1LYalpKQUFxe7urq2aNHC1LUYduLEiYqKCm9vb901CuZGq9UeO3ZMRAICAnQXG5mb8vLypKQkEQkODrazszN1OQYUFBSkpqaKSHh4uIWFOTb9ZGdnZ2RkWFtbh4aGmroWw86ePZufn+/o6NiqVSuTFECwAwAAUAhzzOMAAACoA3Ps00EtaNX551JSc0o1WhGx9w8P9bIxdUmX0JTlZ2dm5xeXVapsHZzcfPw87S1NXdPltJqyovz8vLz8YrXK1tHVy9/H2ZxfE+UZCfHp+pkAHf2va+NlumJLzh5LzL7GlH+OLa5r42k+v09tRXFudk5ufok4uHt6erg6WKlMWE3hmbhTuTWbkdDas027Fo6NXM81VRZmnMvKLy6rsnJwcvfx97Q3t2YBTUlWWmZeYanYu3l4e3k4mOIvrz5vyJqy3KzM7LxSCyd3b28vZ5vG+euse4VVZblnU87mlleJiLgERrR2b5y/gMqi9JQzmcUVWhGx8Q4N97OvwUlaTWleZmZOQUm5xsLO0cXD19fNtrFe3pqSrDOn0wvUVSJi4R4UEehco9O0laUFeXn5+fnFFVb2zm4+fl4OjfVxSFds86PNTdj+76GTJ0+ePHky6VRqbtmFD4fQBxfNu9Xko+zyEjZvjz5+/Hj88fiktCLNJXtUtu7BnfvdOPqWoZ19TPpxX3Bi29Y9cUePHD0Sfyq77NJXgJVzYPteg0beOqpPS/Mb/1JxbPEzL69K1dd73cNL3r7Z3WTFHFkw4ZU115jo97rHlrw90nQlXqDJif3r5zWbd+2Lz7o4aa2FY4uI7r16DbhpWPcAU3wbipl/54yNNZuu223k7KWPdWzkeoyqzDiw5udV/+yIPV1wMcirbD1Cug0ccdutg9u6mjIei4ho8+M3/vrzmi37Ey++mFUO/h16Dx4zfmwP38Z+q6n/G7K24Nif3638c9uB04Xn3y9tPNr2uOHmu8f1b4j3obpXWJkRt31v3MlTJ08mnTyZfC5ffeHNsvvkH14b3GDvkYWn9uw+kJB08uSppJMnz2SWXPjY8Bkzb9FEoyPpNJmHt+zYfzw+/vjx+FOZpZd+TbKw9wnt1n/oLTcPbufWAPmzLHX/zphjJ5NOJZ1MOpWSUVh5/hdhN2j6D1N6GD9Rm3V00/a9R48ePXIk4cwlvz8RlY1b6059h4y+dXhXH+v6V3gZ8/k2jZqqOvzzu5/tNHUVxsWtmrdwm8E92vLcpD2rF+xZ9/eNT0+bFOVrsta7E398vNDwZ2pl4ZlD65ce2ry2zyPTnh/e2qyaPxN/+OT3VL6H1VJFyvpP3/lyY0rplTuqis/Gbvk1NtW5d/fbTf5tqFoWLVsGmOihtTl7Fr7+/prkq3572vKcE7t++Wj3hk33Tp1+RzvTfQsqilv51tzvYvOveGFoS87Fbvw2due24c+9+Xhv98bMnvV8Qy4/sWrmm98cyru88VadE7/j5/f27tj3zKwp/X3qWX7dKyzcu3TegqP1e/SaSPrzw4//rv1qK8XR381ffNjgrqrSjPgdP8XvXLv2luenPdjNrZ6/wvRNC+f/kFqHEysO/jh/cbShPVp13qnoNYuiN6wd/PRrTzXsxyHBrplT2bj4eqgy0/I11z626VnYODi7uLq6ujhYVRSknTn/ha8sed37Uy0cP3qym8kvQFVZ27u4uru5uzio1AWZZ8/pv8xWpu/6fPp8l09e6msuV9ZVnf7p059TqsTR1bUs35z+t60827TzN/L/2NrDxG8wFSlrZk9dEHNhWR+VnXsLX29ne21Zfua5tLxyU8Zkp8D2HTqoje8vz0hIyCgXEetuQ/p7NFlZl6pK/vnNt9ckn2+ns7B18fLxcbMpzU7LyNH1lGnzY5e98b73Z1MHmqRhtur077NnLo87v6SPhb1XYICXo4U6L+30uYIKESlL/uu9N5xmvX1fO9umqai2b8jZ296fufjQ+ZZvG7eAlj6Omvxzp9MLNSKiTts0/w03z/cfjGi45Fz3jwyVnVsLF01qRmMvd2fl6ONjm382p1ZLwqksbR1dXF1dXJztLcpyz/8CRVsYv2r2dOu58+4La7hWMUt7Tz/H0tSsWi4lZWHj6OLm5u7mYiuleeln089/HJ7e8P50W7ePHu/YcP/JBLvmR+XeNmqYX3BwcFBwcHBQgKfd8Rp0ijUh97CBowLD24WHh4cH+zpe8jWkPOPAX4s/W7YzrUKkKmPtFz8NXTAh1CTdOC5tB44Nat8pom1okL+L9cUSNPlJu3/7auHPsblakbzti34Yff3D15m6o0lERHt29ac/nqgUu04P3Ov71afrzCjYuV7/xJxHwk1dhUHq+OVvLdSnOgu3iDETJ95yfZj7+VZYbWn6kehdu8/4mqhZtu3tM+bcbnx33trXHkzIEBH73oOvd2qyqi5VtmPFD0m6VGfXevD9j903tMP5pF52ZvdvXy1asS+jSqT436U/xw94uG3Tv1ByNyxcpk91DiHDH33y7gGhrro3HG1ZWvRvCz9bEZ1dpU76+dNVAz4a16qx6qvHG3LZnmULd+eKiIhd8Mgnn7+vfysHlYho8o79/cX7i3ama6Ty9Kovfhn00d2t61F+3Su09ukwcETHoODg4OCg4NYt3Gx3vjvm7W0Nv1a1c3CvG8f4Busep6WPw7mVT01annLN06x8Og4a07VdeLvw8LDWXnYXu1y1Jal7Vi38YuX+bK1IRfIvC9fc+O4Yv3oUaB/YbdDoqGCdVr7OpX9Pv/fzgzU40dKrw013duvc8bq2YUG+l46pU+cc3/rjl4vWxJeIVKX99dXvI+ff2bIeFV6GYNf8WHQY+2IHUxdRjfZjnmtvcIetT5cxL7/t+dbT7+4uEJG0bdsTJoSaZM6z0BGTDA7bsHRt03fCm4HWz09sLlOqAAAgAElEQVRZkaQRyd69K/7h68wgtGSu/Wz5EbXYtL930k3eP39l6nKaB+2pHz/SD0hUefR57t1X+ntf9tmosveNiBoTYZririlj47qDGhER56jBvZqotekK2sN79+nGK9j3fGLm5BsunYHSLrD3uGkBquef/japSiQrem/yw22DmrrAjM1rD+padbxvfGX2E10uaTdW2fn1GDd1pvX/Jn9zrKIq+Zfvd97yUt9G6i+u+xtyxt8rN+m+d7gNePbNx/q4nt9h6dZu5MtvaF+dsjCuTLTJq37cPfaFPnUvv+4VOvW477lqBpA1mDbDn3m6Dqc5RI6fEmloh8ohoNfdr7Vymj550eEyEc3xbTszxoytx4gLn4GPTBl4yc9XjU0wxrLz2Kc6G9ph4xE+5LHZvvL01DVpItqk3f9m3NmyocaEmNt1TVA4lXvU+OGBuu30M6mVpq3GIMvWQwe3021mpqc3/JfTWsvd8PmSQ2ViFXrnk6NamEP7YbNQsX/1nym6/z33G5959opUZ+6SN6yP14qIePYf3NVEX78LM/WXmlh2GRhlYF5xy5YDo9roNrOyspqwMD3N0WMJuq3QEXd0MTAawDJw9NjetiIipXu27qvZdSpNKXPnzgStiIhFu7ETLqY6PVWLERNu0n3Ql+3Zvq+aTnsYZuk/atwN+rE0qWfOmrYYw2w7Dh2gn4s8PT294e6XYIemFhigD3ZSVWUGsckAZ+fzl6+rVCaPAwU7vlwcXSwWLW978raWvF5rSr1n/TbdWCBVu1vv6mZ+lzhXR3t03YYzIiLS4oYhJhsLYGWl7ziycXQ0nC2dHPVzsFhameBCqIK8XN0YScuWLY30slm3DNTtUcfsjTW3N5uSmJjjuq2IgQO9DRxgcd3A/vpkty+mCa5gUB6LwEB/3Za5ftaIs8uFD5sGvFc+KNDUsrP13+49/f3N6arTC7RJSSd1W62Dg0wc7EqiFy3cXiiqFqOfuiPEzOYAvEhdkJ6ScOzYiVNnMgrV5nHdbuLhOF0TjSpiQH9zXP2qGpUH123OEBGRoCGDQ0xWhkObEF8RESlNSkozdIAmMSlZRERUIW2Cm66u86ys9cPhq0pLjLVnlZbq+8zKk5MNPgcTSklO1r1WAiIijCy0GBLRQfeVpCQ52QRtos1fdla2bsPf39+0lRihTko8LSIiquDg1g13t4yxQ9PSpm7emigiIq69e7czcTGGFB/7buFf6SIiNu2H3tBgo1nrpOzgN19szhXxvmnSPdeZZQgWKdj+3gP/ZORcuMDUyiWgXfeBI8aM6BvkbLpUnJWQoBuTLoGdO+kvKdWU5qafyyiosnN29/bzbLS5Qeut7N912wtERFTXDbnBVPOciIiEDBkW9tuSBI0krVr4V+//DQ+49LpCbfHR5V9vyBMRcbp+uKGu2sbm5OvrILElItrD0fvKBhoYg6ZN2RuTod8+ffqMiDmtwFt6JlX3J6pq0cJY6FC18PcXOSkiqampIs3sC4rJaeI2b9fl4Va9e5thsNPmxSz6ekuJiIjD9UP7NeAMDAQ7NKmMv7/45aRWRGwi7rqto8kbjDU5J4+kFomIaDXlhVlnEg5u37AtPr9KxNJv4DNTRph0fjP10eWfrs0QcRv0+AOdzLYvsSI3PefSnysLUg9vXH5485+dx7/wwriOV44caiIXvqnbhYQEiiYj+ocly9fsTCzQX06ssvMK7T5o9B1jBgQ7mbyz/QqF29btLhMRsew6ZICnSUsJHPPcpOOvfbo7Mz/682ce2z5kWN/wAB8369Ls9ORDG/7amlSoFbELGvnCY1GmuGxXFdGtq836HWqRom2LPu3ZZkr/y6YC0xYdXfbhrxeurFQXFqpFzOjbUWGRftoQJw9Po2V5enrqgl1xYZG2YXvrFE+T/NOXf2WKiDheP35UAzaH1VF5xon49FIRkarK0oKMlOMxWzbuTi7SitgGj3zhsaiaLV9RMwQ7NJ2y+O/e+upgmYjYRTzw1HAz+P5Z9u/iqVddtG7r22ngzePvHRVh0in1NYnff7I6TSsufR+Z2MPky0kZp7J2cHX38HB3sq4szjl39vyk8VW5B5e/MUMz562725oikxYXF+s2vH1dT/wy7Y0lcQWXdhFry7IStv8wb9embY9Me3lEsBl93EvW5nX7K0REbHsO6WeiWHyBZcCN/3vX+5elK9ZsP5oV+9e3sX9dslPlEBA5aMy99w4NMdF0lHZ9xo7w27kqTSvazC3vPZO0dcjg3hGtvBwt1HnnEvZv+mdLfK7G3tlZXVioEX2vrBn9T5eV6i/nsLUzftWzja2tSkQr+vJNPu9n81F4YMHc75M0IuLa54lH+jZkaqqjzE0fT11+8vLbVA6B3YeMvefuIQ38GiLYoYlozq1/Z9b3iWoRlUfUMy+OCjB5c50Rjn5tggO9HE1bXlXyT5/8erpKHCInPhplLpMkX8Y5bPA9Uzr17NI+yOPimoza8syj235fvmx1bG6ViDpx5Yc/9P54Qpum/12qK/SjrqxPrpy7N65AK2Lh4BUY4OWoUueeO51WWCEiosncu+CN+e7zX+pjgp5Ew85sWH9MKyLi1Hdwr5qskdnobNwDQtqGJJzKOn35FA8ql4Cw0Na+pnyhWIbd+9I9ca9+m1AmIqWn96z+Zs/qyw5w7v7I7TYff71TRERTaUazP4pIpUY/J4ClZTWjAiwtLEQ0IlJpZuWbNfXJn2bP/TtVI2IZMPL5yf1N2/BtnMolIDQowN2uwV9DBDs0BU3a5nenfhydJyKu3R+f+Ww/08ykfxVLz+AOHTQioq1SlxfmpadlFlYUJ+/67atdf/zW8/5Xnh3T1iRtZdqzv3/yY6JGbDvd/8QgM1hr1ZCWg+4fd9WNKlvv9kMemtW1/fyX5m7K1Ir29B+/Rd/9bM8mf5+xs7UTKRGRpD17RBxDRz761PgBbVx0b6DasnPRv3352Yro7CrR5mxftHJ4j8c6msVbofbEug267/RuAwZHNvQCkrVXnLBq3ltL9mZpRERUlvau3j7eLtZluRmZ2QVl+QmbVyZsXvX74CdffWKgSZbbFbEJvXP2u+4LPvhmY1LhFVftWPtHPTFtcpf90/W3OziaV3uXnZ2+KVtdbnwqE41arTl/uGlmM2x+1Mm/zZy+9EiJiIXvgOdmPmpoJhxTsPUJ7dDBUUS0GnVpYU7auawSTX7C5p8SNv/++8DHX31ySMuG+x82i3czKFvl2Y3vTPtwd5ZWxLnrI7NeGd7SbP7s7HpOnNPzkp/VOQm7//puyU/7MjVZexZPf9vuozeH+TZ5VZl/fvrdcbXYtLt70jDzXsXUMJVnn8cfuH73uztKRcoO7D8mPZt8Qm17e3tdsBMRv+Gvzn6s4yWtXyo7/x7jps60eXXy10crRDK3bDr8aMcuZjB+SRO7bqPu2k3fGwZ3MPXVHdpzv8+aujiuTETsgwaOv2/csB4B57vVqwqStq/+dtlP0enlpzfMe7XC/pMXepmot8uu9Y2T50eNi929e/+RE6lZhaXi4OEX3Ln/jVHt3K1k3/lRdlbOTuY1TtXeXv8nWVxcZPSgC0MKLO3tzagb2XyVJf0yc/o3sYUiKu9+U2Y/G+VlBq9rHe8bnp5zw8UftWUZR7avXrbk9yP56tTNH03TOHzy4vUN9Roym09YKJT69N9zp30enasVce780Mypo1ub8/uTjUdY/3te69DynWfe21EgpQdW/Bo39PGIpn1rKNy2eFlsmYhr9/5tsg/HZl+x+1SufkKmknPHYmOdRETl1rpDSzPrrrXvHhkhO6JFJDcjo0KkqRuffHy8RXS/uvARt3U00KdpGThqbO8Vs7eViRTFH0+VLoFXH9PE1HvWbdUtRNB68GDTLLZ3iYqYH7/XTRnjfeOrc5/ufFm7h4VLm/73TI/wfvPJT/aVSO7WZX/c0Wu8Ccen2/l1HDim48Crbk9NSNAno9atTT98/jJuXl42ImoRdXpGrojhhvkLs9Z6exua6Q6XKYlf+eaM5UeKRFRe10+e/fxAH3Md7yMiKjufiCEPzW7vO33KwsNlkrtt+Z93XT+ugaZhINihEZUn/T7rtUUHC0TEufPEmdNvaWPOqe48lUf/W/ov3vFHjkju4cOpEtG0H/n5Z8+WiIjk71w4fWc1xyWveWvqGhERi6hXV73Yu0lqqzk7e3v9qG91ubrpg517q9ZOcqxIRGxaBhpp9bQODPQVSRaR/IJ8EZMHu+Kd63YVi4iowgYPamXqaiTx4EFdS1KLASM6G+zNUnkOHt7ry32bykVSDhzMHd/a7EYNpO3erZtpT5zbtjWnuU5ERNWyVQuRUyJyKjFRI90NNdAWJCZm6Q9uafK/TzNXFLd0xps/xZeKqLz6PDPnxUF+pm7yrgnLFsNH91xyeGu5yOnDhwvGNdA3dDMOtGjmSuJ/fH2aPtV1mjhz+phmkep0HM9PqV9WZn4rETULqWfO6JcFcHExxRiX0PB2uvf1itJSYwvXXZi91tbWDMYv5WxeF6MWEbHsOOQGM+iBLyrS9xBenBv/KpZOTvrG0KJC4/2JpqI59uc/SbpN1159DC9gbUL+bcN1n+KlB2KOGVwXoSQm5rjuVdS6bdvm8+5pAvkHv5w643yqe3rOS4ObRaoTERFLR0f9GIHShvuwocUOjaLoyPIZb6yMLxVdqnutOaU6kcwDB1N1W+4eTd4KcWGMrWGFqXHJuVoRcfBr18bLSkQszK0fVqQs9vd1+gv7Q0JM0qno0KtPZ8voGI1oD+3dVxbVy8Dstcl79+lmr1X5+zf9QMorpW1cf7hKRMSm+5D+pp7mRETE2clZt9Z58rHjZeJjcIBa2rFjebotFxdz+yOsSP510Zpzum2/wcM7m91nnapTr54Oa9eXiGRt/H3n3RH9rpgMUJv21x97dNdVtOrT28zaG82INjf6s2lz155Wn091Q5pPqhOpOnngkG78hcrDvcEuzje7P3YoQGHsN9Nn/pJUJiJOnR5809za6opzsizdveyMxA1NVsw3by3Tf4Nu2aVLk18pf8UY2yvFfHznjHVlItJ61P/m3Gyizq/y3Cy1i5ezwffPqty4le/N/VuXmSxC+11vmtDk3HfY9d/EbCuUwi0LP+0edOXstYVxSz78RbeYj2X7nt1MPs1V0vp1iVoREYdeQ/qYxbSFweHhNpKhFinb9fXHm0MmD2xx+atYW3jshw9+SND94BsebpowWpSbZ+vudlVPf0nSXx/MWhZfISIirv0evC3M1EMWDbDsctMgn/V/ZIiU7Fowf23Iy0P9Lz6RkvgV76+IrxIRsWo3dJCZDRA0G9rs3R9Ne2dDaqUu1c02s1RXVZiVb+vpbmPkr099dusX7/6qa0RQte/SucE+Jwl2zVHJ2WOJ2RUXfkzO1vc1laYdj41Nv3C7g3+7EK8mnzKh9MjSqW/8ckotIirPPuPGhJbEx8YaPtTGOzTcr+nn6or95vG3o73ade4cEeLv7uLq6uLibG+pKS/OzTiTdGTfrn+PZel/t0597hxh2jXFzFXq768+u6YypEOXjuEtvd1cXV1cnB0sK4pyzp08Er11+8G0Ul0Hksp3xIMjjKzP3ugcet93V8TuL+Mqzs9eO6R3RCtvR1V53rn4mE3/bI3P000k4XnTXTeZep6rqsPrNuoal1yjhnQ3g35hEbHpMewGr21rs0S0WdvmPXn4j6gboyICfbxcrMpyM88lxWxYvzdV//9sGTJ8SJhJitTsX3D/J4ntu/fs0jbQ28vLzV5bmns2Pmbbpp0J+v9elccNTz7Wp3GDe13fkK3ajbun54YP9pSK5O/59LnnDowYfn24n2NVfkrslj/XxqSpRURUvsPvH17fL0d1/8jIP304Je/iTDIXtgvPxMXGXgwiLi07tHarR3guz0iIT7/YE5l5fluddSI29uIEirbeYW39LjYe50d//L+3N6RpRMQqYNBdw32zjsQaWVPX3j881KseweniIkUiIlJyVr9dlZccG3uxIkuPoPYBF//aSnd9cv+CxNbtO3e6LtjX3dXFxcXFyVZVWVaUk55y4vDenXuT8vXT2XjfdEcDzmyl0mrNY81u1MKRBRNeWZN3zcPaPrz4vZubfHmHMysnT7pyfm0jfMbMWzQxtJHrudruebfN2VxxraPsQsdOfeOBziZvyrnShRa76x5e8rapWuySljw65edrLKqucu/++JypwwNM+AVam7tj3ovvbMkw/h5n1/buWbPvamviKFUR/cH9b24qEhGvMe98NbGdubQuFR788pU3V5++xmvFqePDc964OcgkjQSabXNvfdf4JUYqjz5Pz3lpSItG/huszxtyQfSnL85ae87gGDsRsWt379xZd9a7y6PuFe54d8zb24xVd1Gv536aOrAeVZ5Z+dSk5SnXPMzvtvkL729z4ccjX054ZfW1n5aISOiDi+bdWo+hqwV/Tb/3qkWKruZw44zvn+524cfif2aM/yTmmme5dLx/xvTbQhtuPh4unsB/jpOXb7UrwKscAnuO+98Hb5lhqjMXdh6+rtW0BVu6tBnw4JyPpps01YmIyr3vlLmv3dXN01AZli6hw6a8b/pUJ1Kya91O3ff/gEGDzSbViYhz54ffmvPYwGBHYzVZuUfc8uI7r5so1YmIysnD3UiccAi64bG3P3yl0VNdPbl0f+Kt18cb/BO1bTng8bdm1D/VwWQsXb29ql1XwtK5zYAH3pz/RkOmOqErtnlybHFdhw6F1zyspacppq6/xtj/S7n7m2TNpA4TPltxZ/bJY3FHj586m5OXn5dXUFJpaWvv6OLl3yo4rEO3rqEepp/03xingPYdOqhFpLWn6V69LUbPXDY0//Txw4ePJaZm5eXn5xcUV1raOzi7+7cOa9exW9cwc/kNWnpF3j1jwbCE6B27DiamZecVVlo5ungGhkV07dU7wscsPjLVCadLwzp0EBHvGwab2VgqlUv4yOc+vHHCsb17Dh1PSknPKyopr7K2c3T28G8d1r5br65BhgdaNhWLro9+8+3YhP179x9PSc/KzimssHV29/AN7tCjd2S4t7FxtA2tfm/IFh5dx89YcNPxf7ftOpSUlp1fZuHo5h0QHtmvb9fWLg302617ha4tO3TocO0Wu9Zu9WsksvUJ69Dh2tffeF4+dKeGT0tEJKCeo5Kszi9SVD27gMsugbHr9eTi7x9MTzwadyQ+JT0nLz+/oLBUY2Xn4OjqHdA6uG3HyM5BDfV/fCm6YgEAABSCrlgAAACFINgBAAAoBMEOAABAIQh2AAAACkGwAwAAUAiCHQAAgEIQ7AAAABSCCYoBNHtn/pm/aGeeiHj1f/ypQZcvTxu/atZ3BypFpNWwFyb2djJ4vnnJ275w/vqzImLXfcIro9pc8/iGl/L3vMW7C0TEZ+CkSQPrsRITgCbHBMUAzEpFblLsvphDJ87l5BeUioObh4eHh4eHd2DbThHBbkbWitj9QlCf95NFJHzq/mOzuly2748H7EYvKReRvh+c2z7Fz+D55uXU3O7B/9snIq6Prcv7YogJKtg+JTDqw1QRiXg99vCMDiaoAEBd0WIHwDxoMrYvmPXWp9+uPZJreO0eW4+QjpHdr39g5od3hzVxbQDQTBDsAJiBrA0vjbzjvT251fUglOckRq9LPNriAYIdABhBsANgahUH3rhp1Lv7y/Q/qhxbdY/q0zmspZeLrbY4JysrOys78+yJ2EMnssprP3Sk7ZhprwdVikirZjHATkTc+j36+uu6MXamGGAHoFkj2AEwsZQvJs/WpzqLFkOnf/npiyNCHA0cV5F38lD0noPatrW697Zjps0Y0wBVNh23fo/O6GfqIgA0UwQ7AKZ15sfvtlWIiIhll9f+Wf16hLWRA63dgiOHBEc2XWUA0OwQ7ACY1tEjR/QdrL0mTDSa6uqsFtOdlGcc2b0jJuFsZnZ+uY27r6+vb0Bo156d/O2rf4SK3ITdW/fEp2Zk5pXbuHr6BXW6Pqp7kItlXSuubrqTkuil7/yRJCIWHe587fb2IiKiTj+wafP+pNT0PI2DR0BYjwEDugY4qGrwQGVnozdsjEk8m11m5+UfGNZjUFQ7t1pWXYvnXhn/y3vfHSoTEbHvPP6FW8ONPFTq2vlf7soTEbEMvfmFe7td47cP4ApaADClX+48/wkf9WFq3e5i1/OtdfcQPnX/lftW32+r29f3g3PGzi85+df7D/UNtDeUhuz9uwx/ZmWiodM0WdFLnh/e1vnqhGLl3WPC3LWn1HV6Niff0rdKuj627sp9mZ8P1u2zHPejVlt5dsOc29q7X/H4KreOd3+wI7e6h6g4s37ube2cr5ih3sa3x0Nf7MvXardNDtDdEvF6rJF7qMNz18R/NFAfrK07TY8uNXi3x+cPdLxwzF6DxwCoDsEOgGntfKaFPhI4Df3ybJ3uoj7Brjzpx0c6GhrSdwnfJzdddV7BnveH+1W7do/Ks++MLdm1fzY1DHbLYz+80dNow5x9p1e2lRi+//IjC0b7Gj3ROuzRNb9dI9jV+bmnfjPaU3eAReiTmwuvquzAm131/1v2fd+Nq6z1rw6Alq5YAKbVfcgQt4+W5olI0drJIx+z+GzGPb39bZvowdNXPRB154rU8xfb2vt3iRrQs12gp6M2P/1cWnrqiZg9h86VXnVaZdz7I294YVux/qyAyAFRke1aejlaq/NSj0dvWv9vSqmINnvHjDHj/PeufTSk4RdvrNr+8rAfzmRrxcI1pN+QgV1DfB21+ckHN/65/mhulYiUHnr7wZm3HZvT/comtcL1U4Y9vjpd/4ztWvS4aWifdn726qykmA1/b08qrEhYOP6JFlXGH7k+z73F/V9/va7zzctTperEp/dOuung0ps9Luws2fnyXW/sLxcRcRs6/7vn29e5Mxv4TzN1sgTwX6eJm9vt0iBn4RzUa+SEya/PX7p6x9G0kqpr30NdW+zOLLzJ5fyjOnZ5ZFF05tWNRCVnY/5cuTXl0psqoqddp/tSrPKMemFlXP4VJWqyoxfcFaZfJcNlzLc5134Gl6pRi52+5seXHbns0atyds+JctPv9njgj/IrzlfvnBx0vrHOre+rf6dc2mOqydrzwS0tLw1iV7fY1f+5F2x6JlT/GJ5jlp05f3Pumomt9ZX53v5jWg1/VwCuRLADYHJVp399ooOR6xqs3UN6j374jcUbEguNRry6BTv19skt9Q9i0+WVnUU1rTZn6c26Wu37vHXI2DC6qpRFNznrAlDPeck1vWutVlvzYNfq/tUGO3pPf3qD/hKUls/+e/mugpV36H/NquCnNl3VFarVaiuOze1jZzzYNchzL9s7rYu+QucBnyRotFrt2e9v99YX1uqRv6sdHwigWg3fQQAAtaQKHPPZnoN/zX3g+hZ2V+6ryE3cvXrR6xMHhwV1n/jpv7kN9qBV6xcvPa3bbPvs17P6XGOc3QXp3y9aXSQi4jdhzvMdjV3Fq2r5wJQ7PEREtNEbNubVt9irWQ3439xRHob2BI4b11e3dTourvDSPeVrfvi9SEREHMfMmj3QUJS2Cn/h/UmtjD1owzx32+4zvp/T11FEpHDLC+NnH4xfOOGxnzJFRCyve+67+UPdrjoFQE0xxg6AWbBvM+zlr4e9+GHitr/+2rh1+87de/cdTspVXzygKjvm66f6b9uzfMs3t7eoyWwe13Bw82Z9Suz1yONdajyeq2zLpt26AWouGZvenrVdRES0Wu3V/2ad0vVIViUknBTpWv+KL9N1xAg/I7s8w8LcZXOuiOTk5Ig4X9ixf/fuchERsRlx11gXI2db9hl/R+t57ycb2NVgz90y/PnvPt7QZeLfuVIW/UZUd5vCQhERu8jXvp/T16Ha5w2gegQ7AGbEwiVkwLinBox7SkREnZt4YNe2jX/98u3yNXG5VSIi6hNLJ9zVrcvWyaH1faTK+Pgk3VZAv35BNT8vIS5Onzbjf31z+q81OSUnJ6eWxV2bqmXLAKM7HRwcRHJFpKys7JKby0+cSNVtXdet21VNoxd17tbNUpI1V+9owOeuavXgkkX/dLrt+3TRFBaWiog49X93xbRONjW5VwBG0RULwFzZuIf0HPHAKx//Hntq38JxwfpGtdJts+eur6j3nedkZ+u3/PyMNX0Zkn3hvBqrqKh/uVeysLauQSPj+VY0ndy8892i3t7e1Zxl7eNjuDO0YZ+7z9iP3hhyoTvXZtA73z4VxkcSUF+02AEweyqXLo8s/yUlruuswyIimWv++FeG1HM51cszT81dSCr2kfe9dMW6EEbYdat3+6J5aNjnXrRtzvubLsQ+dcyqP5Mff6x1A3SyA/9pBDsAzYJll7vvbD/r8BERkbQTJ4qkX7XLg12Tp6d+qlxJS0sTCarpeV5eXiI5IlLmN+jlGQ80pwWv3N3ON8RlZmaKuBo7riIz0/DVHg353HP/evKeDxMu6e/N++fZu9+L2voi09cB9UK7N4BmwsPjwkWgl48dqxOr8HB9k1Pqjh2nan5ecKh+Fjbtzi1bK+tbRZOyDQ3Vj8s7GhNTzS/wUEyMgQF20pDPPe27h+5felorIhahT3z19hBnEZHSnVPveiO63v+zwH8bwQ5A81B17FiCftPSx8fgRB+10vmGG9x1W7u/XHiwmqUWLuc2ZEh33VbuT59+l17vMppS1969ddcmqP9c+WuhkYM0u1f8cMrwrgZ67tqkzyc88WumiIh1h1e/mzfxpaWf3eIlIlIRO3v8C1uK6nrHAAh2AEzt7L//HMox3EJ0iarTX81dpo8Sqh69etb/vcti8IP36ycoPv7+xNf+LanheS3HP3SjrhOyaPULExcnVt9yVZq0IyatHlU2KNsRd9ysm66v+Nfp07cWGzhEk/DBC5+lGLuDhnjuFXHvjH9+XYGIiH2fWd+/3sNOxP/exd/cGygiuqXGfm/4q4iB/wyCHQDTSlo2oXPLkKIIrr4AAARiSURBVIETZ3z558H0ckNHlCT9PeeWqCf+ztf9aD/o/jsCG+CBrfu+MF2/QoI6ZvaNUU98sz/76oBZdu7A3z9uO33JLX4PzprcVjcQLPPPR/oMeuWH2NyrG/zK0/b8+M6j/cPajVt6qgGKbRguY6dM1C3SoU38cMzw19efufSaVW3Ovk/uvPGVHVevjXtBvZ972d5pd03fUyoi4jpk3ncvRugHenuM/GzZM7p1Zc8sm/jQt6l1e4IAuHgCgOmVJG/5+o0tX7/xmJ1XSMeuXSJC/D3dXO1V5QWZKfEHd22LTim+cAmrY6+ZHz7SomEeNuCRJV+v63b7j+dEpDDmiwe7LZnarf/AntcFejhUFWSknTt35kTMv4fOlfo8uemOqJYXTrPuOXPVvD29J28sEKnK3Pb2uE4ftejSL6rHdS29nG0qCnMyTx+N2b037lxJlYiI8enmTMC676yFj64atvC0ViR325s3tv2q503D+oT72ldmJ8Ws/3trYkGViEuLFlVnzxruEK3fcy9c/+z4dw9XiIh4j1mw9PGgS66BdR74zor/bek7+2CFZK+adO9nfTZMCqHpAag9061mBgBarXbbk741fb+y8h04a7uBhUTrtlasTnnCigntqpmtV0TE98lNV51XdHDBXaG21yzZIXT80lO1+4XUaK1Yy3E/Gr+HXZP1iSpi5tGr95Yd/nSEj9FZRazDHvlj1YXzr1wrtl7PPePXe/z1uwIf/MPQOrcVR+b20S88YddjZqyxxWgBGMf3IQCm1XLQg/eNiurUytXY0qMionIM6nfPtOUxxzdO7dvAC4nahN61JPrQqtl3R/oYWvRAZd+i67Bx/a9ePdWx06Mr9sf+8faD/QLtDaQklUOrqHunfbMr8eh397Vu2IrryzZi0qrotbNvDXe+om5rr673f7pz78KRnoZPvKAuz117ZskDDy0/JyJi0Xbytx+PNHT5i9V1L303f4iriEjZ3jfumrqrml5hAAaptHWcpBMAGlZFXvLRuITTGTm5ubm5ubkFpVpbJxcXzxYh7Tt16dDG09b41LVn/pm/aGeeiHj1f/ypQZevIxG/atZ3BypFpNWwFyb2rm7uu6riM/u37zh0Mi0zp1jl6Ont4+MbENatZwffa7TniTrr6L87Y+JTM7Nzi7V2bp7+wR0ie3UNq67i6uRtXzh//VkRses+4ZUrpgEuiV76zh9JImLR4c7Xbm9v5B7O/D1v0e4CEfEZ9NSk/l7GHqj0zJ4Nm/afOJtdbufpFxDWY1D/9h5WIiIpf89brDt/4KRJA32qK7amz117cs28JXsLRUSsw297YXxH4w1+5zZ8smBbloiIRdCo5x7oXr/5CoH/GoIdAACAQtAVCwAAoBAEOwAAAIUg2AEAACgEwQ4AAEAhCHYAAAAKQbADAABQCIIdAACAQhDsAAAAFIJgBwAAoBAEOwAAAIUg2AEAACgEwQ4AAEAhCHYAAAAKQbADAABQCIIdAACAQvwfP9iJkTxUBc0AAAAASUVORK5CYII=",
"text/plain": [
"plot without title"
]
},
"metadata": {
"image/png": {
"height": 420,
"width": 420
}
},
"output_type": "display_data"
}
],
"source": [
"# Visualizing the slice-specific platform effects\n",
"slice_idx_seq_plot <- factor(slice_idx_seq, levels = slice_idx_seq)\n",
"for (gene in demo_genes) {\n",
" p <- ggplot(data = NULL, aes(x = slice_idx_seq_plot, y = platform_effects_ST[, gene])) +\n",
" geom_bar(stat = \"identity\", fill = \"dodgerblue\") +\n",
" labs(title = gene, x = \"Slice index\", y = \"Platform effect\") +\n",
" theme_classic() +\n",
" theme(\n",
" text = element_text(family = \"Helvetica\", size = 20),\n",
" plot.title = element_text(size = 24, hjust = 0.5, face = \"italic\"),\n",
" axis.title = element_text(size = 20),\n",
" axis.text.x = element_text(size = 18),\n",
" axis.text.y = element_text(size = 20)\n",
" )\n",
" ggsave(\n",
" filename = file.path(\n",
" RESULT_PATH,\n",
" paste0(\n",
" \"platform_effects_\", gene,\n",
" \".pdf\"\n",
" )\n",
" ),\n",
" plot = p, width = 5, height = 4\n",
" )\n",
"}\n",
"p"
]
},
{
"cell_type": "markdown",
"id": "f5e4d1fb",
"metadata": {},
"source": [
"### Not considering slice-specific platform effects"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "46b1e3ac",
"metadata": {
"vscode": {
"languageId": "r"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"The batch_id is not provided!\n",
"All spots are assumed to be from the same batch and share the same gene platform effects.\n",
"\n",
"Select high-abundance cell types to analyze with proportion_threshold = 0.5 and celltype_threshold = 100.\n",
"\n",
"mcubeFilterCellTypes: Cell type(s) CNS, epidermis, fat body, foregut, midgut, muscle, salivary gland pass the threshold.\n",
"\n",
"Cell type(s) CNS will be analyzed.\n",
"\n",
"Filter out lowly-expressed genes with gene_threshold = 5e-05.\n",
"\n",
"mcubeFilterGenes: 1482 genes pass the threshold.\n",
"\n",
"The platform effects are not provided and need to be estimated from data!\n",
"\n",
"Select highly-expressed genes to analyze for each specific cell type with reference_threshold = 0.5.\n",
"\n",
"mcubeFilterGenesCellType: Select 392 genes to analyze for CNS.\n",
"\n",
"Preprocessed data description: 14132 spots and 16 cell types in total. 546 spots, 392 genes, and 1 cell type(s) to analyze.\n",
"\n",
"Number of physical cores: 72.\n",
"\n",
"Number of workers: 70.\n",
"\n",
"Number of thread(s) on BLAS per worker: 1.\n",
"\n",
"mcubeKernel: length_scale is set as 0.178073578880044 for the Gaussian kernel.\n",
"\n",
"mcubeKernel: length_scale is set as 0.251834070352474 for the Gaussian kernel.\n",
"\n",
"mcubeKernel: length_scale is set as 0.178073578880044 for the Gaussian_transformed kernel.\n",
"\n",
"mcubeKernel: length_scale is set as 0.251834070352474 for the Gaussian_transformed kernel.\n",
"\n",
"Number of physical cores: 72.\n",
"\n",
"Number of workers: 70.\n",
"\n",
"Number of thread(s) on BLAS per worker: 1.\n",
"\n"
]
}
],
"source": [
"mcube_object_batch_effects <- createMCube(\n",
" counts = counts, coordinates = coordinates, \n",
" proportions = proportions_ST, library_sizes = library_sizes_ST, \n",
" covariates = NULL, batch_id = NULL, # Assume all spots from the same batch by setting batch_id as NULL\n",
" reference = reference_ST,\n",
" spot_effects = spot_effects_ST, platform_effects = NULL,\n",
" celltype_test = celltype,\n",
" proportion_threshold = 0.5,\n",
" project = \"CNS\"\n",
")\n",
"mcube_object_batch_effects <- mcubeFitNull(\n",
" mcube_object_batch_effects,\n",
" num_workers = 70, num_threads = 1\n",
")\n",
"mcube_object_batch_effects <- mcubeTest(\n",
" mcube_object_batch_effects,\n",
" num_workers = 70, num_threads = 1, shared_memory = TRUE\n",
")\n",
"\n",
"saveRDS(\n",
" mcube_object_batch_effects,\n",
" file = file.path(\n",
" RESULT_PATH,\n",
" paste0(\n",
" \"mcube_\", celltype,\n",
" \"_batch_effects\",\n",
" \".rds\"\n",
" )\n",
" )\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "63a43751",
"metadata": {
"vscode": {
"languageId": "r"
}
},
"outputs": [
{
"data": {
"text/html": [
"346"
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"346"
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"346"
],
"text/plain": [
"[1] 346"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"mcubeGetSigGenes: Set adjust_method as BH and alpha as 0.05.\n",
"\n"
]
},
{
"data": {
"text/html": [
"44"
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"output_type": "display_data"
},
{
"data": {
"text/html": [
"\n",
"A data.frame: 6 × 2\n",
"\n",
"\t | pvalue | adjusted_pvalue |
\n",
"\t | <dbl> | <dbl> |
\n",
"\n",
"\n",
"\t| jim | 7.340192e-27 | 2.539706e-24 |
\n",
"\t| Atpalpha | 1.643130e-14 | 2.842615e-12 |
\n",
"\t| mt:ATPase6 | 1.152411e-12 | 1.265060e-10 |
\n",
"\t| RpL39 | 1.462497e-12 | 1.265060e-10 |
\n",
"\t| CG14989 | 4.188065e-10 | 2.898141e-08 |
\n",
"\t| Vmat | 1.972257e-08 | 1.137335e-06 |
\n",
"\n",
"
\n"
],
"text/latex": [
"A data.frame: 6 × 2\n",
"\\begin{tabular}{r|ll}\n",
" & pvalue & adjusted\\_pvalue\\\\\n",
" & & \\\\\n",
"\\hline\n",
"\tjim & 7.340192e-27 & 2.539706e-24\\\\\n",
"\tAtpalpha & 1.643130e-14 & 2.842615e-12\\\\\n",
"\tmt:ATPase6 & 1.152411e-12 & 1.265060e-10\\\\\n",
"\tRpL39 & 1.462497e-12 & 1.265060e-10\\\\\n",
"\tCG14989 & 4.188065e-10 & 2.898141e-08\\\\\n",
"\tVmat & 1.972257e-08 & 1.137335e-06\\\\\n",
"\\end{tabular}\n"
],
"text/markdown": [
"\n",
"A data.frame: 6 × 2\n",
"\n",
"| | pvalue <dbl> | adjusted_pvalue <dbl> |\n",
"|---|---|---|\n",
"| jim | 7.340192e-27 | 2.539706e-24 |\n",
"| Atpalpha | 1.643130e-14 | 2.842615e-12 |\n",
"| mt:ATPase6 | 1.152411e-12 | 1.265060e-10 |\n",
"| RpL39 | 1.462497e-12 | 1.265060e-10 |\n",
"| CG14989 | 4.188065e-10 | 2.898141e-08 |\n",
"| Vmat | 1.972257e-08 | 1.137335e-06 |\n",
"\n"
],
"text/plain": [
" pvalue adjusted_pvalue\n",
"jim 7.340192e-27 2.539706e-24 \n",
"Atpalpha 1.643130e-14 2.842615e-12 \n",
"mt:ATPase6 1.152411e-12 1.265060e-10 \n",
"RpL39 1.462497e-12 1.265060e-10 \n",
"CG14989 4.188065e-10 2.898141e-08 \n",
"Vmat 1.972257e-08 1.137335e-06 "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"nrow(mcube_object_batch_effects@pvalues[[1]])\n",
"\n",
"sig_genes <- mcubeGetSigGenes(mcube_object_batch_effects@pvalues)\n",
"nrow(sig_genes[[1]])\n",
"head(sig_genes[[1]])"
]
},
{
"cell_type": "markdown",
"id": "3b0fcb54",
"metadata": {},
"source": [
"## Salivary gland"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "d84cd3f4",
"metadata": {
"vscode": {
"languageId": "r"
}
},
"outputs": [],
"source": [
"celltype <- \"salivary gland\"\n",
"spots_names <- rownames(proportions_ST)[proportions_ST[, celltype] > 0.5]"
]
},
{
"cell_type": "markdown",
"id": "9de71fdd",
"metadata": {},
"source": [
"### Correcting for slice-specific platform effects"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "e5df6385",
"metadata": {
"vscode": {
"languageId": "r"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Select high-abundance cell types to analyze with proportion_threshold = 0.5 and celltype_threshold = 100.\n",
"\n",
"mcubeFilterCellTypes: Cell type(s) CNS, epidermis, fat body, foregut, midgut, muscle, salivary gland pass the threshold.\n",
"\n",
"Cell type(s) salivary gland will be analyzed.\n",
"\n",
"Filter out lowly-expressed genes with gene_threshold = 5e-05.\n",
"\n",
"mcubeFilterGenes: 1482 genes pass the threshold.\n",
"\n",
"Select highly-expressed genes to analyze for each specific cell type with reference_threshold = 0.5.\n",
"\n",
"mcubeFilterGenesCellType: Select 619 genes to analyze for salivary gland.\n",
"\n",
"Preprocessed data description: 14132 spots and 16 cell types in total. 176 spots, 619 genes, and 1 cell type(s) to analyze.\n",
"\n",
"Number of physical cores: 72.\n",
"\n",
"Number of workers: 70.\n",
"\n",
"Number of thread(s) on BLAS per worker: 1.\n",
"\n",
"mcubeKernel: length_scale is set as 0.178073578880044 for the Gaussian kernel.\n",
"\n",
"mcubeKernel: length_scale is set as 0.251834070352474 for the Gaussian kernel.\n",
"\n",
"mcubeKernel: length_scale is set as 0.178073578880044 for the Gaussian_transformed kernel.\n",
"\n",
"mcubeKernel: length_scale is set as 0.251834070352474 for the Gaussian_transformed kernel.\n",
"\n",
"Number of physical cores: 72.\n",
"\n",
"Number of workers: 70.\n",
"\n",
"Number of thread(s) on BLAS per worker: 1.\n",
"\n"
]
}
],
"source": [
"mcube_object <- createMCube(\n",
" counts = counts, coordinates = coordinates, \n",
" proportions = proportions_ST, library_sizes = library_sizes_ST, \n",
" covariates = NULL, batch_id = batch_id,\n",
" reference = reference_ST,\n",
" spot_effects = spot_effects_ST, platform_effects = platform_effects_ST,\n",
" celltype_test = celltype,\n",
" proportion_threshold = 0.5,\n",
" project = \"salivary gland\"\n",
")\n",
"mcube_object <- mcubeFitNull(\n",
" mcube_object,\n",
" num_workers = 70, num_threads = 1\n",
")\n",
"mcube_object <- mcubeTest(\n",
" mcube_object,\n",
" num_workers = 70, num_threads = 1, shared_memory = TRUE\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "b09b1c63",
"metadata": {
"vscode": {
"languageId": "r"
}
},
"outputs": [],
"source": [
"saveRDS(\n",
" mcube_object,\n",
" file = file.path(\n",
" RESULT_PATH,\n",
" paste0(\"mcube_\", \"salivary_gland\", \".rds\")\n",
" )\n",
")\n",
"# mcube_object <- readRDS(\n",
"# file = file.path(\n",
"# RESULT_PATH,\n",
"# paste0(\"mcube_\", \"salivary_gland\", \".rds\")\n",
"# )\n",
"# )"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "a0139157",
"metadata": {
"vscode": {
"languageId": "r"
}
},
"outputs": [
{
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"[1] 553"
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"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"mcubeGetSigGenes: Set adjust_method as BH and alpha as 0.05.\n",
"\n"
]
},
{
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{
"data": {
"text/html": [
"\n",
"A data.frame: 6 × 2\n",
"\n",
"\t | pvalue | adjusted_pvalue |
\n",
"\t | <dbl> | <dbl> |
\n",
"\n",
"\n",
"\t| CG13159 | 1.243477e-18 | 6.876427e-16 |
\n",
"\t| CG43181 | 2.555733e-13 | 5.783440e-11 |
\n",
"\t| nur | 3.137490e-13 | 5.783440e-11 |
\n",
"\t| PPO1 | 1.749047e-07 | 2.418058e-05 |
\n",
"\t| CG14265 | 4.323899e-06 | 4.782232e-04 |
\n",
"\t| CG14636 | 1.279481e-05 | 1.179255e-03 |
\n",
"\n",
"
\n"
],
"text/latex": [
"A data.frame: 6 × 2\n",
"\\begin{tabular}{r|ll}\n",
" & pvalue & adjusted\\_pvalue\\\\\n",
" & & \\\\\n",
"\\hline\n",
"\tCG13159 & 1.243477e-18 & 6.876427e-16\\\\\n",
"\tCG43181 & 2.555733e-13 & 5.783440e-11\\\\\n",
"\tnur & 3.137490e-13 & 5.783440e-11\\\\\n",
"\tPPO1 & 1.749047e-07 & 2.418058e-05\\\\\n",
"\tCG14265 & 4.323899e-06 & 4.782232e-04\\\\\n",
"\tCG14636 & 1.279481e-05 & 1.179255e-03\\\\\n",
"\\end{tabular}\n"
],
"text/markdown": [
"\n",
"A data.frame: 6 × 2\n",
"\n",
"| | pvalue <dbl> | adjusted_pvalue <dbl> |\n",
"|---|---|---|\n",
"| CG13159 | 1.243477e-18 | 6.876427e-16 |\n",
"| CG43181 | 2.555733e-13 | 5.783440e-11 |\n",
"| nur | 3.137490e-13 | 5.783440e-11 |\n",
"| PPO1 | 1.749047e-07 | 2.418058e-05 |\n",
"| CG14265 | 4.323899e-06 | 4.782232e-04 |\n",
"| CG14636 | 1.279481e-05 | 1.179255e-03 |\n",
"\n"
],
"text/plain": [
" pvalue adjusted_pvalue\n",
"CG13159 1.243477e-18 6.876427e-16 \n",
"CG43181 2.555733e-13 5.783440e-11 \n",
"nur 3.137490e-13 5.783440e-11 \n",
"PPO1 1.749047e-07 2.418058e-05 \n",
"CG14265 4.323899e-06 4.782232e-04 \n",
"CG14636 1.279481e-05 1.179255e-03 "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"nrow(mcube_object@pvalues[[1]])\n",
"\n",
"sig_genes <- mcubeGetSigGenes(mcube_object@pvalues)\n",
"nrow(sig_genes[[1]])\n",
"head(sig_genes[[1]])\n",
"\n",
"write.table(\n",
" rownames(sig_genes[[1]]),\n",
" file = file.path(\n",
" RESULT_PATH,\n",
" paste0(\"SVG_\", \"salivary_gland\", \".txt\")\n",
" ),\n",
" quote = FALSE, row.names = FALSE, col.names = FALSE\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "31202f17",
"metadata": {
"vscode": {
"languageId": "r"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"\u001b[1m\u001b[22mCoordinate system already present. Adding new coordinate system, which will\n",
"replace the existing one.\n"
]
},
{
"data": {
"image/png": 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lZctihjUHqBrl7J5/b/tBs7/+y8ZUR7a8XQShHn8EK7wK3t7eNbeX+/hgLBYA7As9dmAXssjRy7csSuo455BhsV669ccfSe/3jq3QpGDb80Of25BqfCjxb9d/6KDe3TpERYSFBHi5K9wUpjW/Ln7x9D/X1ji/oN5Y/NTJcUtePUVEVPzryp+yH6/Y3XX1u5X7ypOadODUia3NnYEo44cJ97+0wzT+JwuOHXzfgF5d27ZsHh7s5+mmUCikxmd1ZMkDL/9eamNpzOZ7jfo+OuPp0M1fZBCReOyLL46/tKi78VhN4rKVxlWJ3YZPnxRp4RQ2kMtN49BarS2xXKPR1NzICvHKx6MfWnzMOPJJbhE97xvSt0eXmBYRYcE+Hgo3hVxS/jzLts8fvrD65wg7UCgURIYfYVlZWc3tuUZjn0tEAQCMEOzAXoToaTNGzDv0S/n/u0vJyZxi78ST00te+NqY6gL6vvLd9wkPRVmaUyhsbKCLs2rSfvKUPq+/cFAkwzyJtGf/Y5qJenrVqpPlVSgenPpUiNnjdbtem7O5PNWx8IfeW/P1CwNDLCwOw/O+sM8/ednQmf9o+8Xbl4iIrn2zPPHNL4cbQpjq5+U/Gi8R9Bs77bEAS2ewgb+/aUJwvkrFiWoInobR5rrLX/dSwt/lqU7W5slP1332bLy/has28y7V8cLBWvPz8yMydNqpVKqa2+erVPWeJA4AYBWGYsF+PDt1utMnpFMqK45tnvzpx0vlOcn38eVb/89yqiPSZWbmWtzZsJo/PXVYeVeUeGClaWUTEg9+8+2F8m2fMVPHml/mRL/7xw1Z5duR//p+/VyLqY6IcjIzbR6qrR3WZfoM461js9Yu21g+XJi2atlWY4dX+MTpdZ02YRDavLnxU6EuOflKje2vJyfb0KNlUeFvP/5efnkji52/6btpFlMdEWVmZlrc17BamObfUvb58znWmhIR0blz9lmtBwDABMEO7KjiFU4SP78Kl2Jpz569XL4pHz5+jPXl4E4cPFifUFArgU9MGVVx2RPDVtmOlWuM3YsVF0ap4vbZs8YpBcGjxw+2mpz0Bw8erXe1lkRMnmF8FkW/Ll+dRkR09ssVB4xJssPUaf3r11vv1rOn6QK9CwcP1jRFoeDQoXpFmstnzxpHcmMfG9/Jau2qgweT6/O9aiGkVy/TR5fjBw7UNK5+/cCBdDtXBABNHoId2I8qKemW6UF48+YV3m1KpdI4uuobGGj1/3TZ7m9/TLXWoGF5PzJ1nHGM8tJ3Kw+IRFSydaVpDLPlhCn3Waq3wuIaNU1jVW/8ttrsjAbkO27m0+Wjxfq9K75MJv2e5V8Z447Qd9pznSweaqPoAQOMw9TaHWt/tt5bpdqw5o96ZfNavLJpq7/d6bDxzvjBg40zggu3fL+l0Grj86u/x4xYALA3BDuwWcovH319ONvm4UP9+WWf7zRdReZ3//09K+z09TMt7pF76ZKVgdaypHdf/sb+8yYqUAyf+lTz8u20NSsTNaTasHKz8QKxDpOmWl7mxO/Os0q5dMlK/03h3tde3VzPZZutkw2Z+Vz78u2zXy3/c9Oy1cZVid2GT5tYj2kTRv2mTjHe4EG77Z0391t+upqD//d/ts4SsaDCK3v5krU1h7M2vbToL4f175J8xLPPGPNtwcbXFx6zfNlk1pp5H51xTFUA0JQh2IHN8k+seK53dOdHX//h4O2aZjjqUjdPH/vmCdO/uZbPTB5S8XIzRXy8sc9I3P3hwv1FZs9SdvWHyY+8ebR+maDWhIFTJxoXrc37aeUvV9Z8s628BHbP1CkdLR5IzePjjdNoiza8+9EF8wGj+PTSJ5745KK9e5W6Tp9xb/l1aGmrJszYZMyR/uOm12vahBHrOn32EOOY9PXPJzz7U5q5KS789uZ/PP2/q/Wc/dIhPt44sH1r1TsrU82/eHkH3nxkyhqHjnZK+v37P72NV2VeXDJ+2tYMc0+19MySx2ZutWF6BQBAPSHYQe0UJG9665l7I8NjH3nh3VW/Hb6mqtJFoVNe2vPdG+PjOo/5OtmU/kImfvpWv8q3aej85IS48tghXvjw4UEzvjp4u0KA0+ae/+2jyb17TVh7TU8R8d3MT0K1l25TJseVbxZsWfj4Z3uMy5wMmjrB2v2nhH7PPB1Vvl166JXB97+87mR2hYXUSjNObnhrXPe+//49kyQd4rtau7No/bWYNNN461h1drbx5xRe97tNVNV8+vL/613+HMQba57qOeS/a46m38n8moxja+ff1/Ox1df1FNalS1A9vpX7iAljjcert03vP+qdXy6o76Q7XpR68Lt5D8Tf98ZBNbnHx7c3fxa7aPufrxLiy9/cuqurHu0xLOGnk9mmTC8WXNv16eRe/V76S0VC2y6d7fszBwAgDmCjpNfN3AtTcPMPb9W+a6++ffv0jOvQ0r/aXbZYyIOfJZWYOV3xvrkdK80ZZW7Bbbv17ntvr67twrxMHzncus3fv/tl48LB1OntC2bOtelp07qvw1cWmGmg/HK4sYFi0taan2vqJwOqf+hxH71aXdOB2b9Mbl7pSMEzvEP3Pn3v7REbE+xhWhPEb+AHZ7c8a1p0+L5l2WbO9cedBgOXptdcdDWa7dODqbIOr56tw4ks0t9Y+2RkpfmpgldY27h7+txT8YcobTNze+KLpuHfnu/erH6my4tMKz5HvnjQzLe6ueqByhfXSX1bdu55b98+3Tu1CjS97VjY6NUXvn3I+FDyxHozpypZbWpAY9fW9By3P2u6scbApeZ+Tlx7dfWjlX/qEp+I9nG9+/Ts3DrIlOTce7x+ZP0k04/U/BsVAKCe0GMHNot67O23p43oVHmqg1iqvH09+fSRAwcOHj11IUVZafTRp/P493ce3zLDbDeFe793t637Z9c7U2V5adalk4cO/H3k9MX0QpGISBI69O0/dyzsa8udDRpW86enDKt6jwCfsVPG1nj3hKCRKxK/Gh9z51ix6PaF4wcP/H0s6UpWMSciUrR6dOmeX+d0quFOsw1Aft/M5yqF8QaZNlHphJHjV+/+cWa8vymyioXpl04dPnjY9EP07jJz/c6Ph3rdWcbYpps0VNNy0k9/fDC8wn27dOqUs0f/PnDw+LnruYa3nVenKd/v/fGZKEf/WZO2fmbdnjX/iLtzUzh9flryqUMHj569llNKRMQC+yf8tu2NnuivAwB7Q7ADm3l1eixhxR9nMzKT9/706WvTxw7q2irIrfo7SOoV3qHPw8++/s325JRTa18cbPkWmkKLR5cdTkr837+GdwqqnKIUod0emfXehlMXticMaIjrwWov4LGpoyrHj5DxUx+yZQxT3mHK2hOnNr0zeVCMf+UeSY8W9z4xd+kfSWc3PN/VMVmVxU6f0f9Oh5rbiOkTW1ppXieSVmM/PXJh/+ezx/aMqPT6uIX3euLl5XvOHf30kRaSinff8vWt293FvHrO+ePMkdUJ43tHelfuJfRpM3jiq1/uuXDim6faOOeeXbLoJ744emHP0hdGx4dVrIB5tho0+Y3VRy7seXuwjbf7BQCoD8a5g9b0B5ckluTcSs3MU+cXakjh5e3j7RfcPMJfYfP9r0w0udevpmSpSgTvZmFhYSGBXrIK5yi4dvh4imFtXc9WvXpGVltGLufCX2czDZdcBbTv3yW02uK1uvQz+y8a1pgTQmMHtLfhf2xZ2qm/L9+53J0FdRjQOaR2T4yXZF27ditHpZH6BYeGhYUEeFQMuXkX951JN1y959+2b9fwamsZV2jg1+beuIi6dPFlf/1A8+e2GTq0/J/ZfHv1aDt2GnGNMi31Vnp2sdQ/LKJ5WLMKP8TcFYOD/rmHiIiC/rkje9l9VY8tSTl2+JphuRC3FvG9o61nP33B7avXb+cW6NwCQkLDwoL93Cr8yMXMpL8uGGZas+BOAzs2q3p0hQbUrOOgTlXHqytTXtx/Ot1wpaRfm75xEZbXnC4/e0luWuqt9FyNIii8eURYoEeF0nKT9yVlGH6k5t+oAAD1hGAH4MJuvNcr+uWjhsgb8cK+m//r55woof99qv9DKw0L9w1bkZM4Db1XAAB2gaFYANd1dtXKo8a5ox2mTnNSqiMq+eWHTcblmFv37IlUBwBgLwh2AK5Kt3fFN8a7TUgHzZxuZQU+uyo7teSt9cZB7XZPju/mpDoAAJoABDsAF5W28u1vjPdi8xv3n0kRVlvX0ZWNH31/Smnleg7ttZ+mPvb2qfIpsdK+/3w21h51AAAAESHYAbik0hu///exuTuLDY+EbnNfHWWfebiqI59N6N6686gXPtlyNKWg4v3mxKK04xsWT+jZY/wPV8oXaZZ1XfDZTGsrPAMAQD1h8gSAqzj18ej/bFKTvjjr5sUrqfnGdeOE6Of3nFnav9pU4gZxbF5Mz3evGr+TZ2jrVuFBvm66gryslKsplW5LIoQ9sGznlmkdappUCgAA9WBxiTEAaGRUlw/s3Ztb5Yve97y17l07pbqqxKKMK2czrlTfIQ3pM2P5ug8eaYk/OAAA9oW/swAuSvBtP+K5V5e88VRHO8a6ts+8/yH9smvf4eNnLqYX6qvsVQS17z1o2OjJ/57+UIxjsiUAQBOHoVgAV6G6fOBUmpaImNTNO7BF27YRXg5c34TritVKpUqlUinVRaLCxz8wMCQszK8Oi1UDAECdIdgBAAAAuAjMigUAAABwEQh2AAAAAC4CwQ4AAADARSDYAQAAALgIBDsAAAAAF4FgBwAAAOAiEOwAAAAAXASCHViTmZkZEBAQEBCwZ88eZ9cCAAAANcAtxcAaURSVSiURabXaGhsDAACAc6HHDgAAAMBFINgBAAAAuAgEOwAAAAAXgWAHAAAA4CIQ7AAAAABcBIIdAAAAgItAsAMAAABwEQh2AAAAAC4CwQ4AAADARSDYAQAAALgIBDsAAAAAF4FgBwAAAOAiEOwAAAAAXASCHQAAAICLQLADAAAAcBEIdgAAAAAuAsEOAAAAwEUg2AEAAAC4CKmzCwAAaGJ0Oq5SUpmGa7VMLic3d+brR4KZj9m8uIgXFpKmlDgnNzfm6cU8vWo+v1YrqpWsrIxrtSSXMw9P8vFljNWr5pJisaCAlZVykTM3N/LwYl42VOI8nHPKV1NJMddoSCplCjfm60syubPrArA7BDsXJ55Zk7DurOX9EQ/8d2Z/f8fVA9CUcWWueP0aT7/NiwtJpyNRTxIJSWWCrx8Li2CtY5iHJxGRKIq3UnjqTTE7kzQa0uuIE0klJFcIQcGseUuhZRRJJNXPL+Zk8RvXxYw0Ki4mvY5EkSQSJpMzPz8Kay5pHUNu7rWrWBR5WqqYckPMziJNqakSJnfjgYGS5pEsMopJ7q7/I7y0lN+4Kqbd4qo80paRXk+CQBIpc3en0AghspUQHOLsGgHs6O76hYQGx9UpZ89aCXalPbWOKwag6dJpxbNnxOtXRLWaZDLm4UkeHkwQuE5HWq2Ymc7T04Qb14R2HVhQsP7MSZ6RRiUl5OHB3N25VEqcmKjjpRrx2mW6lSLeuCLEdhOCgk2n5xqNmHRKvHmNCvK5QsHcPUnqSQIjvZ60WvF2GqWliTeuSjp0ZlHRNvbecbVKPHNCvJ1GJSXk7l65klK6flWflkrXr0q7dmMVKnEu8eY1/YWzPDuLMWLuntzTiyRSEjnpy8TCAjp7iqdcF1tGSWO7kZubs4sFsAsEuyaixUMv//Nen+pfdw/zc3wxAE0LLynWHz8i3rjKpDIWGs4kd0ZdmVRGbu7k7UPaMp6Xq9u3mxhjjJGvH/MPJMaIyJjC5MzNg/z8eXGheOM6FRRQXA+hZRQR8cIC3bHDlHKd3NxZePNKuU1G5ObOvH14mYZyc/RHDrJ8tTS2m9mR30o1Z6brjh+h7Ezm7UP+AeYqCeBFRTz1uq4wXxLXQ4hs1WCvV51wzsVzZ/ilC1RYwAKCmEJBdwomIjnz8CJR5Plqfv6sNl8t7dmH+fg6rVwAu0GwayLcw9rFxgY5uwqAJkin0x8/wk91nDsAACAASURBVK9eFvz8yDDSag6TycnHV7xyiZUU84iWzNOLLPSrMQ8vUrjzrAzx5FGmUJBfgO7YIbp5jQUEWRlpZXIFhYRxZS4/f1Yvk0s6xlopmStz9ccOUU42BYeQVGbxnJ6e5OZOWemGSlhouJVz2hu/dEE8d4ZEPQuLsNhIEJifP3dzo9QUPTFJ3wGstmPTAHc9zIoFALAj/YWz/MZV5utrJdUREen1YvptpteThwep8ihfbaUtk0goJIyrlLoTR/UnjlDKDeZvLdUZD2MsIIhzUbxwlqenWWym04onjvHsLBYSyiynOmMlAoWGcbVKf/IYLy6qoQC74dmZ4vkk0ukosFmNjZmbOwUFibduimdOcc4dUB6AIyHYAQDYC89X82uXSSKlmmazcpWSCgvIw4PcPbhOJ+Zmkai30p4JAjUL5mkp4rkz5OZO7rb2PAlBwVSQr794gUTRbAPx+jUx4zYLCCLbZkUwJlBQMM/K0F+5aGMNDYuLoj75vKhWUVAzGy8fZAo35uEhplznWZn2Lg/AwRDsAADshd+8LqqV5FfTzHPOuTKPiEgqJcaYmxsrLub5BdYPYjI502h4bg6v1cojjDE/P56ZLmamm9krivprlzjX254UiYjJ5SSX083rVFpai0oaCM/J4hm3BR9fVtOFg5X4+FFhvnjzmt3qAnAOXGPXRKjO/PLN9ey0vCK9zMMnsHlMp269e3cKxppOAPbDRVFMv80ECZPW9Je2pJg0pSQv/43kUimVlLDiIvKzOrlJFLleT1wUSktrtUIb9/DiqluUnUnVLkcTc3MoP1/wNDPTqgZe3rywgOdksuaRtT62fnhWJi8qpLCIWq3UxwSBu3nwzHQq05BcYa/iABwOwa6JyDqyeXOFh3v++Okbn7Yjps+e2j8C6Q7APooKeYGaWb+0joiIeGkJ6bSmBTgYY1wqEYsKJZxbmkJBRKQp5ZwzRmJJieBdiyjGGOMSqZidbaaDS62kkmIKDrP9bOXnVLiJubmiUilxfLDLy2WCpHbddURExNw9eHExV6tYM6xsB64Dwc7lMXlATLde3TpEhjVrFuAlaJS3L5/8a8f+S6r8S78veel24XuvPxBRdaXT9evXf//990Sk1+s7d+6cnJzsjMoBGjnD2sK2rJem0xNRpQwnCEzUcb3eWm+fXs9EkRNjOl1tS2NSKS8p4qJYJQ9xjYaLYsUFWWw+I2OMk0ZT6wPrr7iISyR1uLEGl0pJp+OlpfW7KQfA3QXBzsVJus9Y2dfbu9Jf6T5DRo0btXHxG6tOFRSc+vLjrfHvPVLl42pBQUFaWvmkOYUCgxQAdcF1WhI5ZzZkDlHPOVVqxhhxYlbnbHJRJM6JCYybnwZhjSAwUWSivsqCdkyvq8fNxxjXltX12LrinHS6uiRRIiaRcFGk2sdigLsZJk+4Oo8qqa78q20enff8AB8i0iX/uu1K1d09evSYNWvWrFmzJk+enJaWJlqYPQcAVjCFG0kkTG9DbjDMP62Q4pieExPI6sV5TCIhgREXubnbi9VA1JNMzqvPe5UrOOdU10VAmONv58AYublzW17karheR1Ipw2dXcC3osWuyPHoP6+v91x8FlHXuXA7FVFq8uEuXLl26dCGi9PT0WbNmOalCgEaMc05SKclkXFPGarzKTiZjgkCiSMaeJybquczD2gV2RCSTEROI8xpXmzOjrIy8fcx0zrm7M5mM67SsNrMxiIhEPTFG7h61rqTemLc3u2VtaRiLNBqSyZxSM4D9INg1XSwsLISogEilUhHhrhQA9cU55znZPCuD52RSUTHptJSdxQvUpNcxTy/u7m5plJN5eHC5nLRlJHErPw8XBW/vGr6fXEESCXGyZX5GJXo9FwRJcKiZSoKCmYcXLyoiv1oGu+JicvcQnHHTWNYsmC4nc62WyWoXcHlREQsJJV/cVxFcCoJdE6YpNVznrJBjYixAfXFlrph8XkxL5UWFjAkkk5HAOBEvLeW3bjCFO/Px5YHNmNn14eQK5uEp5uUyhRsxIo2GyeU1rmlMnBNjTKHgEqFWl8VxlVLw9mEh5oKdpxeFhNDlZPLxrfF+shUr4WoVNW/JAgJrU0jDYMGh5OPLVXm1mtzKy8qIi5LmLeownRbgboY3dNOlPJN0i4hIGh7hhA/ZAK5EvHldv3+PPvk8EQmh4SwsnAU1YwFBQssoFtiMkcCJxJxsSr3BVSqzZ2CBQUwup9ISrheZtox8/Gvsh+P5ahYQKLRoSXm5tpfKyzSk0bCo1sxCT5UQ0555+XBVXi3OWZBP7u6Sth1qkQUbDvPyFlrFkE7HbZ+Tyzkpc4TAYNYqxp6lATgBgl1TpT7yzYYkTkSKbn26Ofx6ZwAXIl6/qj92SFTmsbBw5utXKdwIghAcQu7uTKdjXl5iSTFPv8VVSjNn8fRi/gGiTkcFKvLwYkE1XB3BS0p4cRFrHcN69CEPT56TZVutesrJprBwSduOlpoIwSGsVQzTanlRDbe+KK+ktIQKCoSWrYTmLW2qwQ4kbdqxsOY8J5P0Nl1sx/PySO4mdOjIcIEduBwEO5eWtX/1yi37z2UUV5zVykvTT2xa/NJ7e3OISN7miQkDa7qSBwAsEbOz9EknqaSIhYYzs7NTvbxZs2CSSqm4mDy9uLaMZ6ZTcXH1hiwwSJAIREzw8WYKqx+3Cgu5Mldo0VIa11PSKlrSvhMJgpiVaX02Ky/T8Ix0FhAoie9JHtYCjaRLN4qK5vn5XG2+f/HOOYsKKDdXaBkl6dbTKd115dzcpT16sWahPOM2L7Pab8e5mJ1JXGRtO6C7DlwSrrFzaSWpf29au37T10zq7uPn7+fv4840qvTUjALD0gAe0SPnvjouCotzAtSRKOrPJ/G8HCEswsoMVhbYjASBZ2WywkKSy6mkmOdkshZRpkO4TkcFal5czNp0kLi5izmZlJ5GfgHMza3KaXlpKVflMYlEiGknje9FCgURCZ26kEwmnk/i6beYjx/38Kx63ZhOx1VKXqZhYRGS7r1YYLManpdUKunVhxQKfvUyT09j/gGkqFaJRkPKPBIEoU07SXxPm9ZhtifmHyi9d4Du2GFKvyVK5YKfP8kq/4PjnIqKRLVS8PFl7TtJ2neqYdIxQOOEYOfSQvpNflZz8MSJE+duqHJK1Dm3DV9mCv9WXfsNGz1mRGxQ7de/AoByPD2NMm4Lvv4k1PCbxPwDmcJdzM2mgnyu0/PMTCISPH1I1JFWy5kgeHsLsW2Fdh3Jw4PdvK6/lEy5OTw3h8tkTCIhxkinI72WpHIhqJkQ015oHUOmDkLGhHYdyS9AvHSOp6dT+m1RwkgiZxJGej1ptUyQMG9voUNnoW17G6fQMrlC2v0eMShYvJLMc7J5Tg4ZK+E6HenKmExBgYGSNu1Zqxjr6+05DPMPkPYbxK9cFK9d4blZJIpcKmNSCRdFptORqCc3D6FVtNCuoxAa7uxiAeyF8bouRAmNiVhWoMpT5qmK9FJ3L7+Q0CB32wJdenp6eHg4ESUmJg4bNsy+RQI0Nvpjh/VJJ4WIFrb3/fCiIioq4Bnp5B8gBAVzuYx5+QjNgllIKPMLuNOsTEOZGWJmBqmVvLiIiHE3N+bnLwSHsJBwi+sAiyLPzhSzMnluDhUXkk5PcgXz9mbBISwkjPn41uVJast4ZrqYmSEqlay0mDjnbu6Cnz9rFiKEhju9o84sXljAM26L2VmUr6YyDWcC8/JkAc2E4BAKDmE1pXCARu2u+JgFdifIvQNCvQPMrG4AAHWk1/PMdKo2Wmod8/QkT08SBObjJxn6gKXbHjC5glpESlpEEhEZbv1iyxVsgsBCwiQhYUTEOWeiSHW4KUUVMjlrHilpHimpVSVOxby8WUw7IaYdEXG9jgkSjLpC04FgBwBQF1xTSmUaQV6XG1IxuYKXaUivI7Lh8DoFKcZYA6S6hqjEuVj126YBuLTG91sKAHBX0Gi4Xkd1uv08lwik15Pt664BANgGwQ4AoE6kUiZIuFiny5RFTozdJXMOAMCVINgBANSJQkESKem0dTlWpyOplCxcYAcAUGcIdgAAdcHkCgoMotLSuhxcUiwENmN1uj4PAMAKBDsAgDoSQkKZINRwq4NqeJmGJBIWglnqANDwEOwAAOpIaBHJA4J4Xl6tjuJ5uRQQyAxLmQAANCgEOwCAunJzl7Rpz6TSGu+pasLVKiaTSdp2YG7udi0NAJomBDsAgLpj0W1YTFteUszz1TU25vlqXlIsRLdlrds4oDYAaIIw2R4AoO6YIEjjuutFUbx6iWeVsoBAs4uYcJ2W5+UxxiTtOgpdu7NGuNIvADQKCHYAAPUjkws9e5OPr3j5Is/KIImUPD1JKmUSKdfrmE7Hi4q4Xif4Bwpt27O27XGvUgCwHwQ7AID6YoJE0qGz0DxSvHGF307jBfmkKeV6kSQCl8pYs2AhPEKIimHe3s6uFABcHIIdAEDDYN7ekthuvFMXys/nJcWk1ZJMxtw9yMcHvXQA4BgIdgAADYkJEvLzZ37+zi4EAJoiXMALAAAA4CIQ7AAAAABcBIIdAAAAgItAsAMAAABwEQh2AAAAAC4CwQ4AAADARSDYAQAAALgIBDsAAAAAF4FgBwAAAOAiEOwAAAAAXASCHQAAAICLQLADAAAAcBEIdgAAAAAuAsEOAAAAwEUg2AEAAAC4CAQ7AAAAABeBYAcAAADgIhDsAAAAAFwEgh0AAACAi0CwAwAAAHARCHYAAAAALgLBDgAAAMBFINgBAAAAuAgEOwAAAAAXgWAHAAAA4CIQ7AAAAABcBIIdAAAAgItAsAMAAABwEQh2AAAAAC4CwQ4AAADARSDYAQAAALgIBDsAAAAAF4FgBwAAAOAiEOwAAAAAXASCHQAAAICLQLADAAAAcBEIdgAAAAAuAsEOAAAAwEUg2AEAAAC4CAQ7AAAAABeBYAcAAADgIhDsAAAAAFwEgh0AAACAi0CwAwAAAHARCHYAAAAALgLBDgAAAMBFINgBAAAAuAgEOwAAAAAXgWAHAAAA4CIQ7AAAAABcBIIdAAAAgItAsAMAAABwEQh2AAAAAC4CwQ4AAADARSDYAQAAALgIBDsAAAAAF4FgBwAAAOAiEOwAAAAAXASCHQAAAICLQLADAAAAcBEIdgAAAAAuAsEOAAAAwEUg2AEAAAC4CAQ7AAAAABeBYAcAAADgIhDsAAAAAFwEgh0AAADcRVQqlbNLaMQQ7AAAAOBukZCQsGPHDmdX0Ygh2AEA1BoX9VylFDPTeVoqz87k+WrOubOLAmj0zpw58+677zq7isZN6uwCAAAaE56v5jevi7dv8YJ80umIiyRImEzGfP0pLFxoFc3cPZxdI0Bj1aVLl7Vr18pkMmcX0ogh2AEA2Eav1yefE69c4qo8JpGSuwd5eJJEwkQ912jo9i0xLUW8flXSviNr3YYx5uxyARqT/fv39+vXj4jGjRun1+udXU4jhqFYAICa6PWiSqn7+y/x1DFeVCiEhLGQUObjw9zdmVxObu7M149Cw1hgM6bM1R87LJ48yvU6ZxcN0GgkJCT0799/8eLFhocSicS59TRq6LEDADCDc85zsigzg2emi4UFPP02V6uYmxv5+1NRAXn7UrU+OSaX8+BQUuWJF86RRCJ0iUe/HUCNEhIS3nnnHSKaP38+Ec2bN8/ZFTVuCHYAAFVxtUqffJanplBRIWcClRZztZJJJKTX84xMUZbLvLxYYDPy9qlyIGOM/AN5bq54KZn5B7KWUc4oH6DRMKU6A2S7+sNQLABAJfz2Ld3+3eKFs0ScwsKFwCDSakkmJ28f8vRkPt5cKhNVKjH1Js/KJHOTYVlAAJUU6y+e41qt4+sHaCzmz59fMdWZvrh7926n1OMaEOwAAO7g6Wn6I39TTg4LCWO+/owJXK3iJSXMzb28BWNMLiMfHxI5z0rnmRlmsh1jzC+AsrP57VsOrh+gsdi7d6/poroqcnNzHVyMK0GwAwAox9Uq/cljXK1ioWFMWr7gAi8sYIxIUumvJSMiD3cigedmc7XSzLnc3alMwzPT7V81QKM0cODADz74wNlVuCAEOwCAcvqL58WsDAoOJcH4t1FbRppSklpYVcvdjev0PCeb68wMuXKFwtJYLUBTdu7cOcPGnDlzsBxxg0OwAwAgIuK5OTz1JvP0ZNIKs8p0ehLFOzmvCsaYuzsVF3GlmVtbMqmM67Sk0dinXoBGKSEhoVu3bps2bTI8fOmll9Bv17AQ7AAAiIjEzHQqLGA+vhW/yEU9cU7M8p9KqYSIWKG6es8cEwQSRbOdeQBNk2EOrFarfeKJJ0zZbs6cOch2DQjBDgCAiEjMyiBBIKHSyqhMIiXGiIvWjpTJeWkpL6vaM8f1epJImELR4KUCNEYV58BWz3amMdn4+PghQ4Y4p0SXgGAHAECcc1ZYSNXvUCmTkURC1m9wJAgk6ln1NmVl5O7OLV2fB9CUJCQkVJkDWyXbGcZk4+LiEhMTAwICnFGji0CwAwAgptWSXmfmWjqJhDw8yfpwKhO4yLmu0j3EOBe5TisJjcDNJwA2bdpUfb06Mtdvd+jQocDAQMdW52oQ7AAAiEslJJGQaG61YW9vEiRkbalhkTHGKq+HQgUFzNOLQkIbuFCARuiRRx6ZOXOm2V1Vsp0Cly7UG4IdAAAxQUJuHmYnOjAfP/L0opISsrRuiSiSIHBJhbm0ej0vULOIFkIwgh00aSkpKUTEGFu6dOn06dPNttFqte+++64oWr2SFWyGYAcAQETEgoOZXserz5MQBKFZMLm58eIis9mOl2m5XM4UbuUPucizMoSgYEmHzoRxWGjCEhISunTpcujQISJijC1btsxsv11cXNxvv/0mWFpUCGoJryMAABERaxZC7p5UWGhmn7cPaxbMJAIVF1Zd1oSLTBQFb9/yDKfXUUY6efsIXbszf1wADk2XYWUTtVo9YsQIU7ZbunRplWwXFxe3Y8cOXFfXgBDsAACIiISQMBYaRvn53NyQEAtsxkIjSCanggLSaExdd7y4hLm7k58/iSJXKXlGOgsMkvTsI7SIdGj1AHcTQ6ozbFvJdkh19iCtuQkAQFMgCJJ2nXS5OZSdxYNDqs9mZQGBzM2N52TzgnxekE+CwPQiE/Xcw4Mpc0VRFLy8WYfOQvtOzNfPKc8A4G5QMdUZGLLdtm3bevfubch2RHTgwAGkOntgHPcxbGpKz61d8kNSCRGRW4/Jrz3a1krb9PT08PBwIkpMTBw2bJhjCgRwIvHief2p41yvF4Kamb9CjnNeVEjFRVyZx4uKmK8vi2jBvH2E4FAKDmGBzbC+CTRlq1atmjJlitldvr6+f/755z333ENEnPPCwkJvb2/HVtckoMeuqdEkffvxuqMZhjjvEWbuciKAJoy17SARRf35JJ5xm/wDmJt7tRaM3NyppJj5B0i69RQ6xzEfH0ySADB46qmnNm7cuHXr1uq71Gr18OHDTf12SHV2gmvsmhbNudVLf8/g7u7V/lkBABERY0zo0FnS614WGkH5an77FlcpqbiIa0qppIjnq3lmOs/KIC9vSbeeQu++zNcXqQ6AiHJzc4lILpevX7/+gQceMNtGrVYvWLDAsXU1OQh2TUlZ8ndLt2Zw9x4TxnZwdi0AdzOhRaRk0FDJPX2pVTSTybhGQ4UFvLSUiFhImKT7PdLB9wsdY5kEgx4AREQJCQndunW7evUqESkUis2bN48cObJ6s7i4uPXr1zu8uqYFf5WajrLk7z/59TZ3i534z6Fun3/h7HIA7m5MLmcx7YSYdlRczEuLSaMhmYzkCuaNgVeASkyzJQYPHrx79+7o6Gi5XP7zzz+PGzeu4pgs5sA6Bnrsmoqyi2s+3nKLy9o+NePBYGcXA9CYeHiwgCAWFsGCgpkPBl4BKqk4BzY1NXXw4MGGfjtDtjP12yHVOQyCXdOgvbLmk81pXBL9+POjIvBvCQAAGkD1lU3MZjukOkdCsGsKdJfXfrw5VRRajJk5Ngo/cgAAqL9PPvmkSqozSE1NHTJkyLVr18g4l2LXrl1IdQ6D//KuT3f1x4833RRZ6MiZ42NwUSUAADSECRMm9OjRw+yulJSUQYMGmeZS+Pv7O7a0Jg3/512d/tqPH/+coqdmI2Y83VFu40G//PKLYeKSVqvt0KHD5cuX7VkiAAA0JsXFxR4eHv7+/tu2bbvvvvtOnz5dvU1qauqcOXO2bNni+PKaOPTYuTb9tZ8++fmGnvwH/WtSnJvNh+Xk5Fy4cOHChQtXrlzx8PCwY4EAANCoJCQk9O3b17BqXWBg4O7du83228XFxX3zzTcOrw4Q7Fya/ubPn/x0TU/eff/xbA/PWhzYpUuXSZMmTZo0aezYsRkZGaK5e6IDAEBTY5gtcerUqaFDhxqynb+/f2JiYpVsh9kSToShWBeW8cvSH6/pyaPH1Gn9fGt1ZI8ePQy/penp6VglHAAAqPIcWEO2M6Q3Q7a7//77jx07Rkh1zsY4586uAezk9NLxr24vZr4tO7XwqbxHVN44n1ZIJPhHdozwJqKYRxKm9jIz5Jqenh4eHk5EiYmJw4YNc0TVAABw96m+sglVznBKpfL+++/X6XRIdc6FHjuXx9UpZ9UW9onKm2eVRESS/joHlgQAAI3J4sWLza5scurUqeHDh2/fvt3f398wl4IxFhAQ4PgKwQQ9di6sMO389Ty9uT1lJ1a9ueEykVuPya+OaUNEXhEdWwVIqjdEjx0AANy4cWPw4ME3btwwuxdjr3cV9Ni5MK+IjrERZveUZnkTEZHgHxUbG+vImgAAoBHR6XRSqTQqKmr79u2DBw++detW9TanTp2aO3fuypUrHV8eVIdZsQAAAGBGQkLCyJEjS0tLiSgmJmbfvn1RUVHVm8XFxb3//vuOLg4sQLADAACAqgyzJbZt2zZmzBhDtouKitq9e3eVbIdx2LsNgh0AAABUUnEOrJVsh1R3F8LkiSZJVN44d6uASBIQZVjuxBJMngAAaGrMrmwyYsSITZs2ubm5kXEuhZ+fH1LdXQiTJ5okwT8qFrdkBgCAqt544w2zK5ts27btscce27Bhg1wuj4qK2rlzp5+fH1Y2uQthKBYAAADKDR8+3MfHx+yuX3/9dfTo0YYx2datWyPV3Z0Q7AAAAIAMl2b16dNn27ZtlrLdtm3bXn31VcfWBbWDYAcAANDUJSQkTJ8+vcZsFxcXN2/ePIdXB7WAa+wAAACatIqzJVasWMEYM2S7ESNG5Ofnm5phDmyjgGBnD2LBreSLKZk5uQV6d/+gZuExHaID5c4uCgAAoJqKqe7LL78kC9kOqa6xQLBrSLwgeeNH7/zv+98OXVbqKnydeYTHDR47bd78Z/uFyZxWHQAAQCXVVzYxm+1at26NVNdYYB27BpN/7IPHRr6cmKG33MQjdvrq3z57tIXEcVXVE9axAwBwVa+88srChQvN7poxY8ann37KGCOiY8eOYQ5sI4LJEw1Dd3bJ/YPmWk11RFSctOKxvs9uyXNQUQAAABbFx8fLZOaHkT7//HPTXIoePXog1TUiCHYNQUx655mEw0VVvspkHp6Kqp1zYuq3/3h+U66jKgMAADBv7Nixa9askUrNX5T15ZdfLlmyxMElQf0h2DWAkt/e/9/pMuMj39jHX/9uV1J6ka6sqLBUq8m7enjzx88PiDB9Ksr+ceFX151TKQAANHUJCQmLFi0ybI8bN27dunVm++3i4uKeffZZx5YGDQDBrv5KNq/6SWXYZC2eWH3s2I9vTBjcOdRDICJicv/WvUb/e+me07vn3+NpaCUeW/ntWWdVCwAATZdhtsSCBQtM2W7s2LFr166tku0wB7bxQrCrv+MH/i41bEX/e82qZ2LMLmzCAvsu3PjRfe6GRxf//hujsQAA4FAV58BayXZIdY0agl29ZZw6lWHYuuf5F/u5WWkZPuXFJ8t/T06dOm33wgAAAIyqr2xiNtsh1TV2CHb1lpOTY9hoNWBAC+tNpQMG9DFs5ebkYJkZAABwjPnz51dJdQYLFiz48MMPDdtjx4795Zdfdu7ciVTXqGGB4noz3W8lNDS0praeYWHeRAVEokpVQGT+HssAAAANKjg42NKuF198UaPRzJ8/n4hGjBjhwKLALtBjV29lZeUTYuXymm8bZmpjOgoAAMDOZs+ebWXtkgULFqxevdqR9YD9INgBAAC4poSEhI0bNxq2586daynbxcfHP/TQQw6sC+wIwQ4AAMAFGWZLPP7442vXrjV8Ze7cuaYr6kzi4uISExNxbwmXgWAHAADgakxzYPV6/YQJE0zZbvbs2RWzHebAuh5Mnmg4upJ8laqGF7SwjNveWOrh6yVnDVMcAAA0FVVWNjFkOyJ68skniWj27NlENGfOHKQ6l4Rg13AOvBTt/1JDNh64NHvP80H1rAoAAJqS+fPnL168uMoX9Xr9pEmTFArFo48+SkSzZ88ODAx8+OGHMQLrejAUCwAA4CI450ql0uwurVY7fvx401yKiRMnItW5JAQ7AAAAF8EYW7Zs2fTp083uNWS7P//808FVgSNhKLbeBJmbQqGwx5nlUlxgBwAAtnjzzTdHjBhxzz33GLIdEa1YsaJ6s9jY2J49ezq8OnAcxjlubQUWpaenh4eHE1FiYuKwYcOcXQ4AAJhhmC3h6+u7bdu23r17ExHnfNasWZ999lnFZpgt0RRgKBYAAKARM82BVavVI0aMOHToEBExxpYuXTpz5kxTM6S6JgLBDgAAoLGqsrKJpWyHVNd0INgBAAA0SvPnz6+Y6gwM2e7w4cNkzHaLFi3auXMnUl0TgWAHAADQ+Gi12tOnT5vdpVarhw8fbsp28+bNw8omTQdmxd4N9IW3L507d/7C5Vs5+QWFRaWizMPL29s/JKpdx06dO7QOsMucWwAAaMRkMtmmTZvGjBnzxx9/VN9ryHa7du2Kj493fG3gRAh2TlWQvGHph1+tFZVsLwAAIABJREFU27wzKVtroQnzirz3occmzpwztX8YfloAAPDee++NGzeudevWCoXCSraLjo6OiopyeHXgZBiKdRae/se8vjGdx73y5TbLqY6IeOHNAz++P31Am07jl50tdlx9AABwF0pISHj55ZcHDRp09epVIlIoFJs3bx45cmSVZnFxcYmJiRiBbYKwjp1z5P76XPcxX9/UGR5JfFr1HDy4d2zb1i2DfT093ARtSVFB3u0bV86f2LdrX1KWpvwo337vH9j9YicHdtxhHTsAgLtHxTmwLVq02L17d3R0NBGVlZWNGzdu69athl2YA9uUIdg5Q/7vE9s+tDqTiEgR89jCZe/+a2grdwtt9bmn1i18/t8fHcjjRCTv+e7pIy+1d1ilCHYAAHeJKiubkIVsh1TXxGEo1gmUGz9fl0lERBFP/fT3T3MspzoikgTGPf3B7t3/d48bEVHZ0eVfH3dIkQAAcPcwu7JJamrqkCFDrl27RkRyuXz9+vWzZ8/GyiZNHIKdExz86y/DRXU9Zr01qpktR8i6vPjqOF8iIrq+d2+K/UoDAIC7TlFR0bZt28zuSklJGTx4sCHbKRSKDz/8ENfVNXEIdo5XlJ5eQEREHl26RNt6kKJLl3aGrfT0dLuUBQAAdydPT88dO3bExcWZ3WvIdtevX3dwVXB3QrBzPIW7u+Fl1xQW6mw+qqDAkAbJw8PDHlUBAMBd59NPP83LyyOiwMBAK9kuKCjI19fXsaXBXQrBzvGkMTGRRESk37F5a5Ftx/BLW7YmG46Ojo60V2UAAHD3SEhImDVr1n333Zebm0tEgYGBu3fv7tGjR5VmWNkEKkKwc4KeY8Y0JyKivDXPT/z6QklN7cWsPf996u1TnIhIdt+jD/vYuT4AAHA20xzYU6dODR061JDt/Pz8tm/fXjHbYQ4sVIFg5wSsz38XjjJ8tLq98bkesSP+s3TT31eV1VYpFotvn9n+7VsTe3Ua+sHxEiIiSceX/m8CPpQBALi2KiubWMp2SHVQHdaxc5KcPS8/OPq9o/kVviTxaNaiRYivp7tc0JYWF+alpdxWl1X46Uhbjvvizx+mtJc7sEysYwcA4GDz589fvHhx9a/Hx8dv377dMOSam5s7Z86cjz76CCOwUAWCnfMUX/zp7Tkv/+/3G6U1NhUCe0x87aPFz/cLcXAXK4IdAIAj5eTkxMfHp6ammt1bMdsBmIVg52Ta3PM7N/+85c/9J8+ev3Dldr7W9OOQuAe1bNexU5deQx5+dOxDvVt6MCeUh2AHAOBgN2/eHDRo0I0bN8zuxfArWOfA246CObLAjiOefW3Es4ZHXFdSWFCk4TJ3Ty9PhcS5pQEAgON8++2348ePVygUkZGRO3bsGDx4sNl+O0EQGHPGB31oJDB54q7CpO7e/kFBAb5IdQAATUhCQsLkyZMfeeSR0tJSIoqOjt63b19UVFSVZljZBGqEYAcAAOBMpjmw27ZtGzNmjCHbRUZG7tmzp2K2wyAs2ALBDgAAwGmqrGxiKdsh1YGNEOwaC/XPM3r37t27d+8RH5xwdi0AANAQ5s+fXzHVGWzbtm3cuHEajYaIDNfbjRo1aufOnUh1YAsEu8ZCm3H+8OHDhw8fPnY9v+bWAABwl7t58+bnn39udtdvv/02duxYQ7aLjo7esmULrqsDGyHYAQAAOEFkZOSuXbv8/f3N7v3tt99McykAbIdgBwAA4FBbtmwxLCLbvXv333//3cfH/C3As7KySkpqvJ04QCVYx87xxKLs20pNbY9Sqmp9CAAA3HUMsyWee+65FStWCILQu3fvXbt2DRs2TKlUVmxmWNnEUn8egCUIdo6Xt/KxFrP2OrsKAABwONMc2K+++oqIDNmue/fu27dvr5jtMAcW6gxDsQAAAI5QZWWTr776avr06aIoEpEh2xn655DqoD7QY+d4glAepyXh3QZ1sHWek/bW8b8uquxWFAAA2NP8+fMXL15c5YtfffWVTCb77LPPGGOG6+3mz5+/YcMGzIGFOkOwc7yAmJgA2p1HpO/0z58Sp9n425vz6aBmGMAFAGiMkpKS3n//fbO7li1bRkSGbNe7d+/du3c7tjRwNRiKdYLu8d0MGydOYK1hAADXFxsbu27dOplMZnbvsmXLpk2bZhiTBagnBDsnCOzevSUREeUeP37TybUAAIAd7d+/37AxduzYNWvWSKXmB8pOnDhRVFTkwLrAZSHYOUOX+HjDr3bSiRNaJ9cCAAB2kpCQ0L9//0WLFhkejhs3zmy/nWFlE29vb4cXCC4I19g5g6LX8FFdr18lorKsFKJoW47xGjxn2bLxROTeua19qwMAgPozzYFdsGABEc2fP5+Ixo4du3bt2ieffFKrLf9Yjzmw0LCYYfFrALPS09PDw8OJKDExcdiwYc4uBwCgcaiysgkRLVy40JDtiGjDhg2GbIdUBw0OQ7EAAAANqXqqI6IFCxaYxmQN/XY9e/ZEqoMGhx47sAY9dgAAtfLXX38NHDjQ0t4PPvhgzpw5hm1RFE3rmgI0FLylAAAAGsyAAQM+/PBDS3tffPFFU78dUh3YA95VAAAADeDs2bOGjdmzZy9ZssRSs59//lmj0TiqKGhyEOwAAADqKyEhIS4ubu3atYaHc+fONdtvZ1jZRKFQOLY6aEKw3Ind5J5LPHi9rC5HMqmbp4+Pr49fUERUC395QxcGAAANyjRbYsKECUT05JNPEtHs2bOJyHRFHWFlE3AIBDu7SVr21MjPcut5Erl/69juvYeMmfjc08Pa+qJ/FeD/2bvv+KiqtA/gv+femUnvCSVAQu8lBAFRpLddlGZDF0VZdVd3X0VXV1mya1tdyy6K4iqigJUVRbAAIVQBGwjSkSqEhARI75mZe573jxtiCJOYQGYm5fl+/GPIvZOcCZL85pzzPEeI+qZiDaxhGFVlO0l1wjMkKtRv9uzjO9Z9+OKfxnWJ7n7Tf77NkJMEhRCiHrm4s4mZ7crXZB988ME5c+b07dtXUp3wDAl2DUXRoY8fHtzz2jcPyxlkQghRL6xYseLifnUADMOYPn36p59+av7xwQcf/PbbbyXVCc+QPnZuk/79/xIPlhjpG1/517t78gAAemjHK6+5sm+vrrFRocFBPqooLzcr7dj+3T9s3fJjWgkAwNp6zIOP3tLNrzQ/Nycr7cjuH77ZsvVghrP8s+rt71q5fcHYcA+9COljJ4QQVWHm+++/f968eS6v6rr+3nvvmWuyQngOC/fJ2/7cyOYEAD6x4x77cNvpkipuNHKOrJ4zvXcoAYBf97s/PWmUXytN+3bxzCsjqPyvrPOj25yeGT/z6dOnzS+alJTkqa8phBD13YkTJ8wHSql77723qt+wAwYMMAyj+k8lRN2SpVj3SV44ddxj688wwoc9u3nv6n/d0r9lVQXuWkjHcQ8u3vHjR9M6WFF8YMHU38z+trjsmq3FldNf2vrjkptalWW7w/P+tSzfEy9AiKaGC/L53Bk+dZJPp3DGOdil2ZhwISEhoXfv3t999x0AInrttdf+/Oc/X3xbXFzcqlWrpAux8DBZinWX/E+mtrrxo3yg5bQVB96bGFqzZzn3PzswfvZOO7Q+Tx/YldClwqWSzfd3GfpqMgAE3bkya+FvPVHRLEuxoilgh4OTT6iUZM7KgN0OpxNEsFjg50fNWmgxbbUW0SD69U8kmoDyaong4OA1a9ZceeWVcLUmKzWwwlvknYSbZH701vJ8AOhz/z9qmuoAWHr8JeGGIABq99sLt1+QuX2HzHposPmrJX/Llt11OFYhmjJOTzO+Wmd8v5VPHIPTSX7+CA1DSChsPigsVAf2GVs3Ob/dwgUF3h6p8L6KNbB5eXljx44tn7d75ZVXyuftJNUJL5Jg5x4lSV+stQNAuzFjOtXqmT6jRw8BAJz47LNK6a3l2LG9zUepqamXP0YhhDp+xPhuK6ecosAgim5NoWHw8yObjWw2CgigiEhq1Rqapo4cNL79ijMzvD1e4U0XdzZxme0k1QnvkmDnHqnJyWbLuRYtWtTyqYEtWwYCAE4lJ1e61KlzZ3PKrjgzsxhCiMvCp04aP/7ABbkU3Qp+/i7vISIKDqGo5io1xbn9Gy6Q/a1N1DvvvOOys8nF2W7z5s2S6oQXSbBzj7Nnz5oP8vLyavlUZ25uEQCg6OzZSms/elhYkPlIKWlVLMTl4Pw8564dKCygZi1/df8cWW3UrAXOpBk/bmNleGaEol655ZZbJkyY4PJSpWwXFBTk2aEJcQEJdu4RFhZmPjjyww+5tXvqjzt2mKHNGhYWcOElzs8vBADYLrokhKgV49BBZGagWfMaVkWQ1YrgUE5N5ZRT7h6bqFcyMzMB2Gy2pUuXjh8/3uU9eXl5s2bN8uy4hHBNgp17tG7b1ixatSe98faxWhQe56/573vHzYdt27Wr9Asn5eRJc64gLNxTHYqFaIw4Pw+nTsLfj/TaVJcHBKK0xDh+WJoJNB0JCQlxcXFHjx4F4OPj8+mnn7qct4uLi/vkk088PjohXJBg5x6Bv7lumPkLw/H149Oe+aFm+3KM5CV337M4zfxD6+uu63vh5ZKtW3eYj2QDhxCXg8+d4cJ8BAbX6llEhIBAyspCfm13WIgGyayWSElJGT58uJntbDbbxx9/XCnbSbWEqFck2LlJxE333lj2r7zgu7+PGHzX/O8zq90WV3T0s4RxV037qKxgwhr3h7uuvHDCLv+zpYlmu1S9S5eOdT9kIZoMzsmG0yCrtdbP9PPn4mLOyXbDoET9UrEGtppsJ6lO1DeeaHLbNIVN+c+/x6++c2UOAOTvefuPg/737FUTb540alB8r66xzUKCA2yquCAvK+3o/l3bv/ry44+T9mWVHwmrd3vkzb92uzDXJS/+75dmVQW69evn58GXIkSjU1zM2iV1HLZY4HSgRKrSG7mLO5uY2W7jxo0dO3Y0s92NN96YnJwsqU7UNxLs3KflHR+u/nns2Ke+M1dtuDD56w9f/PrDX32epd20D1Y/1d92wQcLViU8s7ks+LUaObKLi+cJIWqI7Xa6pIOeSNMUMzudv36raLDmzZvnsrNJSkrKiBEjNm7c2KFDB7OWori4ODS05h3ohfAEWYp1p+Arn0zasmBGXM038thixj21eus7N8XqlS4EjFlworjM8f9cWbfjFKKJIT8/GJfStYQNRbpOPlUd+ywag2nTpvXv39/lpVOnTg0bNqy8lkJSnaiHJNi5WVDvu97efnDzGw9N6hNR7fRoQNuhv3/mk937V/99VLSLvxWy+PieZ6uc+oQQtUL+AcAlVbbaS2G1VtXNWDR0hYWFAEJDQxMTE+Pj413ek5KS8pe//MWz4xKiFmQp1gMs0df84T/X/OFfGT9t++a777fvOnTqXHZObn4p+YeEhoW3aNez38CBVw3qGxMoMVsIz4iIgo8viotqHdGKChEQqEVGuWdYwpsSEhK+/PLLdevWRUZGhoeHr1+/fsyYMdu3b690W1xc3MKFC70yQiFqQoKd59giuw6e0HWw69blQgjP0Zo1UyFhnHGOahXsDMUlJVqHzrDJUmxjU14tMWrUKDPbhYaGJiUlVcp2UgMr6j+ZIxJCND1Wm9axCzSNCwtr/iSVnUEhIXrHzu4bl/CKijWwu3fvHjVqVEZGBgAz25Xvt5NUJxoECXZCiKaI2rZH6xjOyWa7vSb3c34eKdY6daUwOfelUbm4s4nLbCepTjQUEuy8gh1FOZlZ+aVymLgQXkJWq6XfAK1lNDLOoLi6vnTMzDnZXFiodeysdevpsREKD3j++edddjbZvXv36NGjzVNizVqK9evXS6oTDYIEOw/h/COJC56+/3fjrmgfFeRjsQWERUYE+1qt/mGtegyZfM+sOUu3n3F4e5BCNCkUGKQPugax7Tkvh8+euXjqjgEUFSH9NJj17r30fgNIl5r0RmXq1Klt27Z1eWnXrl0jR4405+3Cw8PD5YRu0UCQnGbtdqXHlj354OzXvjyUV/232qfVVdP+9tKL9w0I89DAaiAtLS06OhpAUlLS6NGjvT0cIdzAbjeOHuJjhzk3B04DNit0HQx2OuG0k48fRUZpnbtRTFu6pLMqRP3kdDotFguAY8eODR8+/NSpUy5vu/3229955x3PDk2IyyLBzr2cx5beO+Wut/bk1/QJlta/ffbjJY9cWbvDyd1Ggp1oIriwgNPTOOOsys4iux1E7OdHYRF68xbUoiUstT9VVtRjCQkJO3bsWL58ua+vL4CTJ08OGzbsxIkTlW6TfXWiIZJg505nv7xz0KTFxyvtpNP8w1tEhYcE2oyivNzMs2fyKq//hI54acvqmT1t8D4JdqIpMgwmkCarro1TebXEuHHjqsl2kupEAyV77Nwn/a3bb6mQ6gK7/PZP/166+WBafn5m6okjB/btP3T8VHpuQfbPO1cvSLhtYIvyKYGcDQ9N/vv3suNOCC/RdUl1jVXFGtjExMTJkyeXlJQAiI2N3bRpU/l+O0l1ouGSGTt3KVp/b6dRb5wGAGjR45754O2Hh0VX1w86/8D7D//uD2/uKgIA+A6Ze+ir+2M8MNBqyYydEKLRuLizCVzN24WGhkqqEw2XzNi5SemqBe+ZqQ4Rv12w9YvHqk91AIK6T5u/adXMnuZEQcnmt94/7OYxCiFEk/Hkk0+67GySmJh4ww03lJaWAoiNjd2wYYN0NhENmgQ791BbEteaHe39xj3/9ox2NTy6LWTo82/9X3vz8d7Vq1PcNDohhGhqrr322rAw1z0HVq5cOWnSJHNNtl27dtLZRDRoEuzc4/S+fVkAAP/xd93SohZPtA2cMa27+XDfvv11PzAhhGhizB1H/fr1W7VqVXCw65YDiYmJs2fP9uy4hHALCXbuce7cOfNBx969a3PIOIAevXubq7E5585JAYUQQlyOhISEe+65RykF4Morr9ywYYPLebu4uLi//e1vHh+dEHWvhkuEopbMOX0Afn5+tXyqFhDgCxQCKCkpBaR9lhBCXJqK1RLz58/XNK1fv35r164dPXp0dnZ2+W1SAysaEwl27hEZGQmcBnDq1CmgdW2empWcbO7O842KCqyj4RiF6ceOJJ/JyszOyrfrfkHhLdt26dapRYBM2AohGquKqe6tt95CFdlOUp1oZCTYuUfL1q117DGA019+sfPlQfE1P4ko78svt5iPWreuVSB0LW3Lm299tm3f0bPFqtIVa3jX4TffPf03nYIu/6sIIUS9cnFnE5fZLjY2VlKdaGRkysY9AkeOHGA+Oj7vsQU1r24t2vr4U1+aq7jhI0fGXf5Azu79avvhcyokpnv8oGFjxk+5Ycr4UUPi2wZrcGT9lPT6Y3+d/2ONjzsTQoiGwGW/OgBvvfXWn//85/JairVr10pnE9H4yIydm0RPnDLwkW+/V0D+2vvH3dsi6bUJ0b+Wogt3zZ18/dxjZsfoyAmTr6mD3vcth9739HW9e7YJuvBz2c9ue+/ZFz47bk9d+cqH17z9h+6S8IUQjUV8fLzVanU4XJSfvf766w6Ho3zezvNjE8Ld5Pe5u3S498nby/qclO5/Y1LP/r9/NelIXuX10DKl6TuW/H18jytnrj1rxjrb4IS/j/Wpg2E063F1n8qpDoCt2YAZ941vAQCZ3287WgdfSAgh6okpU6b873//s1pd15699dZbL774ooeHJITHyIyd2wSM/dd/p62/4f1TCgBn71x4/9iFj0bHXX11/7492jcPCw60qaL83MyUw3t2frf128PZxi9PDb7qqf/e297N46PY2BggHSgqKnbzlxJCCPdLSEjw9/c3u5aY2W7q1KkXz9vFxcXddddd3higEJ4gwc6NWkxemPhKxrD/Szx3/jze4tO71n28a93H1T3Lv9f9n37xaC+b24d3Oi0NANCmTSu3fy0hhHCrivvqqsl2UgMrGj1ZinUra/c/fbl77VOjW9UwQAfF3fPOju/mjnT7eTZG7v6P5n9xCkDosBtGRrr7ywkhhBtVTHWzZ89+9tlnzceV1mQl1YmmgMz6IOFexckb339t3psfrtmZUuhqm51PRJdrJs/40wN3T+gZ5p6sXXhgzee7swB2FOZknT2xZ8dPGQ7ybTPsnsfuG9Wm6s18aWlp0dHRAJKSkkaPHu2WoQkhxGVwWQP7zDPPlJ8k8emnn06dOrVHjx6S6kRTIMHOo4y85N3bdx5KycjOyc4v0QNCw0LDm7fv1b9f16i6qJSoxtlPHrrr3YpFErboIb//yx/Hdgp0FSQ///zzjz/+GIDD4dizZ8+RI0dWrVolwU4IUd/MmjXrueeec3npxRdffPjhh83Ha9as6d+/f3i421dDhPA62WPnUXpwTPzImHgvfOWA7mNvuaU/oJwl+RnJP/246/jpza//Zdua3z6ccM+AyMrhLiMj4+DBg+Zjf/9aHnYrhBCe0rx586ouPfLII3a73Zy3Gzt2rAcHJYQ3yYxd0+Q898N7z724/EgxqNm4p1+9r/eFJ9p+/fXXX331FYCioqL3338/JSVl9erVMmMnhKiH5syZ85e//KWqq4sXL54+fbonxyOEd0mwa7pyN/7znpe2FYO63/3Wc9dFubxH9tgJIeqh2bNn9+3b94YbbjD/WFW2i4+PX7t2razAiiZFqmKbrpDBw+MsAPinvfud3h6MEELUUEJCwrPPPjt16tQPP/zQ/MhDDz300ksvVbotLi4uKSlJUp1oaiTYNWHW0NAAAFBFxSXeHosQQtREeQ2sYRi33357ebabOXNmxWwnnU1EkyXFE5fn2IrHX99a6KZP3mHyU/de7cbKhZJzGQUAYCkLeEIIUa9V6mxiZjsAt956K4CZM2cCePDBByXViaZMgt3lObXutf+8lummTz607WPuDHZn16/dbQCgnr26k9u+ihBC1AmXnU0Mw5g+fbrNZjP3282cOTMiImL8+PGyAiuaLFmKbdRyD3+34+fcyiclAlx8csMrTy7cawcQMer6oSGeH5oQQtQcMxcWul4dcTqdFffb3XbbbZLqRFMmM3aNWua2hU8uPePXrFPnts3Cw0LDgv01Z2FW6tF9ew6fLWEA/l1vm3VXH19vj1MIIapFRHPnzjUM47///e/FV815u/Dw8HHjxnl+bELUKxLsLs/AJ7YfmWm46ZP7RV3uu86wrlcP6Lxl75HDu88ernTJGt756mun3T45LlK/zC8ihBDu8+STT44ZM2bQoEFENG/ePAAus13v3r0HDBjg8dEJUe9IH7smwMhPPXIk+WxWdlZOgVPz9Q+OaNW2U6f2zfx/fSFe+tgJIbzIrJYICAhYuXLl0KFDATDzAw888Oqrr1a8TaolhCgnM3ZNgB7Uqmt8q67eHoYQ9YrDwZnnuLCQ7XbSCL5+FByC0DAiKSWqL8prYAsLC8ePH29mO3NNFkB5tpNUJ0RFEuyEEE0L5+fx0cNGajIKC2C3QykA0C3w9dXCwii2g9a2PSzys9HLKnU2qSrbSaoTohL54SWEaCqYmY8eMg7uR3YmbDbyD+TgULJYwMyGE0VFKvUUzqQbJ49b+vancMkKXuOys0lhYeGECRMSExPN/XZz585t06bN73//e6mBFaIiCXbeYNgLi+0MQPcJ9LN6ezRCNAmslLFrBx89BIcdzVqQxQKgbNmViCxWBIcgOARFRerUSWdRod5voBbd2qtDbqKcTue+fftcXsrLyxs3blx5tnvkkUc8PDYh6j/pY+cNWx6KDQoKCgoK+s38DG+PRYgmgg8d4EMHAEZUc6pmpdXfn5q3RHaW2rmds9zVfVxUw2KxLFu27Nprr3V51cx2P/zwg4dHJURDIcFOCNH48dl04+A+gCks4lfLI8hiQVRzzjhn7NoBw13tjMTFnn/++WPHjgGw2WzVZLuOHTu2b9/es0MTosGQYCeEaOyYjcM/IS+XIqJq+AyyWCgsnNNPq5M/u3VoolxCQsJjjz02bNiwo0eP4ny2mzhxYqXb4uLikpKSZF+dEFWRYCeEaOQ4M4PTUyk4BLVqZeLvD4edTx6HNPt0v/Ia2JSUlOHDh5dnu6VLl1bMdlIDK8SvkmAnhGjk1LkzKCpi/8DaPpECgzg7i/Ny3TEqUa5SZ5Oqsp2kOiFqQoKdEKKR47xcMJNe6x937OfHxcUS7Nxq1qxZFVOdKSUlZcSIEeX77ZYuXfrwww+vX79eUp0Qv0qCnRCikaOiItYu5Uxk0i0wnCgtqfMhCVNhYWFSUpLLS6dOnRo+fHh5tnvxxRdlX50QNSHBTgjRyLHhrN3uuvInEsBcdjSFcIOAgIC1a9fGx8e7vGpmu59/lvoVIWpBgp0QorELCCB1SV1LDAMWC3x863pAAq+++mpmZiaA8PDwarJdVFRUSEiIZ4cmRMMmwU4I0chpAUGs+FKKW0tLYLXBP8ANg2rSEhIS7r///pEjR2ZkZAAIDw9fv359//79K90mnU2EuAQS7LwhtNPVQ4cOHTp0aFwrOVBMCHejqGbk64uSoto+kQsLEBwsh8bWrfIa2N27d48aNcrMdqGhoUlJSRWzndTACnFpJNh5Q9wDn23atGnTpk0vT5Y1BiHcLrKZFhHJOTm1ehLb7TCU3jqW9EspvBAuVepsUlW2k1QnxCWTYCeEaOTIaqWOXWC1cV5eLZ6WmaFFNKMOndw2ribHZWeT3bt3jx492txvFxoampiYOH36dOlsIsQlk2AnhGj8KKat1rY9CvJRUvyrNzMzZ5yFv5/Woxf5+XtgeE1BZmbmhx9+6PLSrl27Ro0aVV5LsXjxYtlXJ8Qlk2AnhGj8SNf1vv0pJpazspCfx9UUUigDZ89At2hde2pt5aT5OhMREbF58+Z27dq5vLpr167yWgohxOWQYCeEaBp8ffVBQ7Qu3dhuR1oqFxbyhQ3q2OngnGxOP01BQXp8f71Hb2+NtJFZvHhxaWkpgNjY2HXr1sXExLi8Tdd1TZNfSUJcLvlXJIT9Xjf6AAAgAElEQVRoKsjXVx9wlX7lYIpuDXsJ0k7z6RSVflqlpXLqKcrIIF2nrj30ISO1jl0uraexqCQhIeHOO++cOHFiSUkJgPbt27uct5POJkLUFYu3ByCEEB6kaVrb9tQ6Bpnn1LmzKCpUhQWa1QY/PwoOpahmCAkliXR1pLwGds2aNZMmTVqxYoWvr29sbOzGjRsrHikhNbBC1CEJdkKIJocsFjRvqTdvCUB6mbhJpc4mVWU7SXVC1C1ZihVCCFHHXHY2WbNmzZQpUyrut5s4caJ0NhGibkmwE0IIUZeSk5Nff/11l5dWr149efJkM9u1b99+xYoVsq9OiLolwU4IIURdiomJ2bBhQ1WJbfXq1eW1FEKIOifBTgghRN1YsWKF2SMwPj5+1apVISGuD008d+5ccfGvd4oWQlwCCXZCCCHqQEJCwuTJk++++26lFICBAwe6nLczO5uEhYV5Y4xCNH4S7IQQQlyu8hrYt99++5577jGzXXx8/Nq1aytmO6mBFcLdJNgJIYS4LJU6m1SV7STVCeEB0sdOCNEEOB0q4xyys1Bayk4H2Wzw9aOIKAoLhxxjdXlmzZr13HPPVfrg22+/bbFYXn/9dSIy99vNmjXrk08+kRpYIdxNgp0QojFjeyn/fMw4dhj5+VxSTAwAIIAI/v4UGqF17qq1jpF4d2n27dv3n//8x+Wl+fPnAzCznbnfzrNDE6KJkmB3eQx7YbGd3fTJdZ9AP6ubPrcQTQFnZRo7vucz6QAQGKSFhf9yAqyhUFzIqclGxlnVJtYSPwB+fl4cagPVs2fP5cuXX3/99WZrukrmz5/vdDrffPNNTXKzEJ4iwe7ybHkodvhrmW765ENfPbfpz5Fu+uRCNHbqTJra/h1nnEVEJPleFNp0DYFBCAhEfj4fO+QsKdYHDqbAQG+MtEHavHnzkCFDAIwfP37JkiU333yzw+G4+LYff/yxsLAwKCjI4wMUoomSd1FCiEaIc3PUzu2ceQ7NW7pIdecREQUHIyxSpZw0fvwerqKJuFhCQsLQoUPLCyYmT568fPlyHx+fSreZnU0k1QnhSRLshBCNDTOrfbv5TDqiWpDl19clyNdXC41QJ08YR37ywPAauvIa2IrFsOPHj1+2bFnFbCc1sEJ4hSzFXp4WV94yvSC/ujtUxo7PVu7LO/9HPbBl51492jcLDQ70MYry8jJTD+/b/3NW6fl9etZWg6eM6uALAOjazdd9IxeiEUtLVamnEBRE1hr/iPP3p4J8deywFtuOAmRBtkqVOpskJCQAmD17Ns5nO3O/naQ6IbxFgt3l6Trt1cXTqr6c+dUTN9z4Xh4ACu1z64MP3XPblGvaBVKlu+zndid+9ParL8xfd8ruSN25W/3x8wW/61R5UUMIUUMqJZmLCrVWbWr1LAoL58wMTkuljl3cNLCGrlKqK/8gLsx2Tz/99MqVKyXVCeEVZJ7rJ9yg6Lu/XzPinzuLgfAhjy//+O9DmunV3//Tu/ded9e7Rx2g6ClLvl92c2sPDbQaaWlp0dHRAJKSkkaPHu3t4QhRAw67M/ELLiigyKjaPpVPp1DHLparh7pjXA3d1q1br7nmmqquPv/883/961/Nx0opKYMVwlvk3567GD88fdszO4sBS69Za9Y88WupDoB/19sXf7VwUjjApz+95753z3limEI0NlxQwKWl5HcpGxnYZuPsLHm769LgwYNfeuklospLDqZHH320fDJPUp0QXiT//NzEnvjagqMMoPndLz9xRU1/xVD0tNf+MVgHkPflvPdOuG94QjRe9lI4naxdyj4TsljJcJLdXueDatD27t1rPpg5c+acOXOquu3TTz912c1OCOFJEuzcw0ha8nEmAEROvHGYrTbPjL7xxqsAgLcv+eiYO4YmRON2+bNtXAefo/FISEjo27fvhx9+aP5x5syZLuftzM4mF3c8EUJ4mAQ790g7erQQANCuQ4dafo+jO5QVxR49erSuhyVE40c+vrBYYDgv4bnscLLFApukkzJmtYRhGLfffnvFbDdnzpyK2U5qYIWoPyTYucfp06fNBy57sVeLHQ4DAJCTmlpUt6MSogmggED4+KKk+FKe6yjRQsOr2kbW1FSsga0m20mqE6JekXYn7lG+IHH8p5/s6FCbxdijBw+aWVDz86vVIq4QAgCsVmoRzfvPMXOtIhrb7dAs1CLafUNrQC7ubGJmOwC33norgJkzZwJ49913165dK6lOiPpDZuzco3Wbsg5aeZ+/syK7Fk809r/7wU7zYYvWrSV3C3EJtNZtEBCI/Lxfv7UCzs6i8HCtZSs3jaoB+eyzzy7uVwfAMIzp06d/8skn5h9nzpz53XffSaoTol6RYOceEaNHx5uP8j5+6L7l6TXci12885nfv7jffBwyZswA9wxOiEZOaxGttWrD+Xk1P/uVCws0Iq1DZ/j7u3VsDcKECRP+7//+z+Ulp9M5derU8jVZm03WFYSoXyTYuUm73905tOwHXur/bh588+s/ZP5KuCv5+fNHR498/PuybgHRt9wxWnZwC3FJiLRecVqLVpxxhp2/XkXBJcWck43YttShswdGV5+dPHkSABHNnTv3vvvuc3mPYRhz585VSnl2aEKIGpFg5y4xf5w3K85qPnYc+/i+gZ3jb3zktc++P5pRckHCc+an7N3w3jP3jOjafeILX+eUfTTqllf/OVTeCQtxqSgoWO/XnyKa85k0FFdZhsQA5+UiK0uLaafHDyCr1ZODrG8SEhJ69Ojx1VdfASCiefPmuZy3i4uLW7VqlXQhFqJ+kiPF3Mhx7L2pw+74NKXS+1pLYFSLqNDgAJsqzs/NPJOeU1rpryBwwN9WJj0zJMRzI62SHCkmGjTOyVI7t6u001CKAoM4wJ+oLI6w4URhIfLz4e+nxbbX+vQj30s5rKLRKK+WCAgIWLly5dChQwEw8wMPPPDqq6+W3yY1sELUcxLs3Mt5/JP/u/HuN3bm/PqtJlvstf9c8v4jg+pDqoMEO9EIOB3q5+PGscPIy0VJMSsmMAggnQICKCJS69SVolujabc4qVQDW1W2k1QnRP0nwc79nGkbXp6V8PJH36aWVHebFtr9t3fNfv7xW7sHempkv06CnWgkDIOzMjg7CyUl7HTA5kN+fhQeidAw6Vp3cWcTuMp2W7ZskVQnRP0nwc5TjKy9iZ9+sfHr77b9+FPyueycnPxSLSAkNDSiZYdeVwwcdM3YyRMHx9S7cjwJdkI0bu++++706dNdXgoODk5MTBw0aBAAZi4sLAwMrEdvO4UQLkmwE9WRYCdE42a322+66abPPvvM5dWK83ZCiAZBypqEEKIpysjIAGCz2ZYuXXrttde6vKewsPDxxx/37LiEEJdFgp0QQjQ5CQkJffv2PXr0KACbzbZs2bKJEydefFtcXNyyZcs8PjohxKWTYCeEEE2LWS2RkpIyfPjw8my3dOnSStlOamCFaIjkMFKPKU3fs/Wrrd98u+PAqbNZWVk5BaUG9/vr+vk31ZPOJkKIpqBiDayZ7TZu3NixY0cz25Xvt5NUJ0QDJcHOA/L2/O/fz774xrKd5yqfbRR49oKTLLOW3Nj93rUlQMTvlh18baScPCGEqFMXdzZxme1OnjwpqU6IBkqWYt0s85sXJvbpf8vTH12c6i4WPmXGeJ/c3Nzc44vm/i/TA6MTQjQd8+bNu7hfHc5nu4prshs3bpRUJ0QDJcHOnfK+/uuoUY9+fsJe8YO6b0iwXxXfd59xM26NBoDile8szXD/AIUQTce0adMGDBjg8lKlbBcaGurZoQkh6owEO/c598H0CS/uKjb/oEXETf3722t2JueXFud8NiOsiufQoEkTmgOA2vz5yhqfQyaEENUoLCwEEBoampiY2K9fP5f3pKSkPPTQQ54dlxCi7kmwc5fijU88tiLLfBw14slNB3YseWrGmL5tAnWgmjOMtKtHDPUBAOdXG7YYnhmqEI0VGwaKizgvl0uKoZS3h+MdCQkJV199tdm1LiwsbN26dS7n7eLi4hYtWuTx0Qkh6pgUT7hJyef/XZQCALD2mbX6i3/0q+lpYZY+fbpj6Y9A8e7dR3BdV/cNUYjGih0OPp3CZ9LU2XQ4HFAKuk42GzVrqbVoSdGtoTWV97Tl1RKjRo1at25dZGRkaGjomjVrxo4du23btvLbpAZWiEajqfx08zTnxlVJ5iJsy7vmXJTqqj11vF27duaDw4cPu2l0QjRinHLS+Gqd8fVX6sBe5OfBMACC06FyctTeXc6tmxybN6gz6d4epidUrIHdvXv3qFGjzHk7M9uVz9tJqhOiMZEZO/dI2b8/DwAQed2Nw3wrX6022FlDQvyAYqA4J8cOSM8TIWqIlaEO7FM/7UdBPoVHwK9ZxasEgJmLCvjkMSM7Ez3jtI6dUd2/xYbt4s4mZrarNG9nt9sl1QnRmEiwc49z586ZD9p16FDbWVGLpexvpaSkRIKdEDXDzHxgn9q7i1lRdGvXiY2IAoLIP5DPnTV2/QCC1rGLx0fqCS+88ILLziZmtlu/fn1ERIRZS8HM4eHhnh+hEMJNZCnWPZi5mqvVztg5s7PzAQB6WFhQ3Y5KiMaLk08YB/cB0KKaV/svDCCiqGYoLVX7dvPZxrkmO3Xq1PJNHZXs3r175MiR5bUUkuqEaGQk2LlHVFSU+SAlNbWWTz144ID5IDwiotGuEglRp9heahzaj+JiREbV6AlEaNaMc3KcB/exalTl5w6HA0BMTMz69etjY2Nd3rN7927pbCJEYyXBzj1axsZaAQBpGzYcuuhqdfMJ6Rs3/mTe1KdPL/cMTojGhk+dxLmzCA+v+XshIg0hIUg/zadr++ar/kpISLj22muLi4sBtGvXbvPmzS7n7eLi4l566SWPj04I4QkS7NzDd/jIq81fMfvemLuhtNLVqoOd2vvGG1vMbls9hw+v2dyDEE0ep52G00k+FxUqVYsCArmoSDWW1VizWiIpKWnSpElmtouJidm0aVOlbCc1sEI0bhLs3CTq2olX6QCAlDfvfmBNVo2e5Dzw/N0vHAQAaL1vnNLZbaMTojEpKVEZ5+DrD0MhP4+zs9TZMyrjLGdncVEBV9OXmIh8fDg9DdXuiW0QKtbAVpPtJNUJ0ehJsHOX2Hv+fltzAIBxfP6kq+9ctDe//JqrGTvO+/HliaNnf292vwu6fvafpTexEDXBJcVcUsR5OcaxQyr5Z3XqBJ9O4dRTKvkE/3xcHT/CGedgOF0/2WoleymXVp5Vb1gu7mziMttJqhOiKZBg5zb+Y596cULZT9CSnxbPiGvfb+qsVz/9+kBKrr3C9ADbs45s+fD5u6/q1P/BVafNCyEj/vWvG6o6TlYI8QtmVseOIDUFWZlkt8NipYAACg6moGAKCISuo6iIT6cYPx/jgnwXz9ctUAoOu8cHXmeeeuopl51NkpKSpkyZUlJSAiAmJmbDhg1mlxOPD1AI4VFUfV8OcXkKtj46eNQLu6ucDfAJDtMKsosvWCrSYqat+OG96+rH/rq0tLTo6GgASUlJo0eP9vZwhLgQs7Fvt9r7o5F8gvz8ybeKPXaGk4uKyMeXmreksAu6e3BONqxW67jr4OvniQG7wc6dO0ePHp2V5Xq/x5gxY1asWOHn11BfnRCitmTGzq0CBz+3ft2/fttKr+J6aV6lVBfc7/7Pv15cT1KdEPWcOnpYHdgLZs0/oLp6WN1CgcFkt+NsGirN2zkdsFrZ5uPegbqH+bY8Pj4+MTExNDTU5T1JSUl/+9vfPDsuIYQ3SbBzM4oY/NiXP26d/+cxHfyrvzGk541PLN+xZe741lXFQCHELzg709i/Gw4HAoOg6Sgq5JISttthuKqWIHBAoCopUelpMMoa1zEzl5ZQ85akNbyfhAkJCXfddZdSCkD//v3Xr1/vstVwXFxcQkKCx0cnhPAaOVLMAyjqynteXfP7J/at/Xz1hq+++ubHo6czMjOzCwzf0MioqJYd4q4eMWrsdRNGdglteL9dhPAKlZenvt+qjh+BpuNMGhylKC6C3Q5NY02D1UZ+vrDaLjhYjED+/lxUwNmZFNkMAIoLycdPa9bCW6/iklWslliwYIGmafHx8WvXrq20JivVEkI0QbLHTlRH9tiJeoUdDj75s0o9pY78xCnJcDpY00nXoWvKaRAzWX0AA4aCrsPmQ4FB0C94v8QFBfDz0zp2JhCfTqWYtvrQEaQ3pLe4lWpgZ8yYYWY7XLjfTlKdEE1TQ/pxJoRoyjg9zdi3i8+kqcwM5OfDcMLHj3QNYBiKlCLDYGby9WXdCsNJRYXKcGrBwbBYf/ksPjay26moiIuKEBSkde3eoFMdgIULF+KiebuYmBhJdUI0TQ3pJ5oQoslSxw6rvbs4JwdgMgzWiHULWc//BNN0slhRUgyHHcVMvr6wWKBpsJeq/DwtOKx83o4sFi4pUWfPUHCI1r2XFt3aay+p9i5OdaaFCxfquj5//nwiio+PX7duXWxsrMstd0KIRk82dbnN7gX3/2Phpp8LZKlbiMukkk+o3TtRkE/BwSonm5UBi6Vyn28CfH3JxweGwUVFcBrQNLLaqNTOhfm/nC3hVFRcQrqm9+6rdenu+ddyOQYNGuTj47qAd8GCBeW1FH379pVUJ0STJcHObbJ3f/j074d3aNlxxIyn39t6qtjb4xGiYeKcbOe2r1XqKS4qVIcOICcLxcUoKIDDAceFNbBE8PGFry8RUFqMktKyAtjiYi4qRHER8vJgL4Wfr9axq9a9V4Mrhh0/fvySJUusVqvLqwsXLnzuuec8PCQhRH3TwH6uNTxccHzjon/cfk3bFp3H/uFfH31/umEfXSSExzBz+mnnju/t7y9Ue3dxxjl1Kpnz89nhhNMJVlAKpXYuKUZpKSoeCGuzwdcPug6rFZoGTYfTAXspLFZERKJVG4psRg12BXby5MnLly93OW8XFxf3hz/8wbNDE0LUO7LHzkNU3pGkN/+W9Obfw7qPvXXGjBm3XRffzObtQQlRT3Fujtq3W6Ukq5RklZutKYaPLwwHlAECDCczCMy6RorhsLNhwMeH9LIekKxbyDDIonNQCLFCcRHZbNS2A3x8UFLErOAf4N0XWHMVU93s2bMBjB8/ftmyZddff31phSNupQZWCGGSGTu3GfDwR2/+7ZZBrS885MjIPrDqtYdv6NeqVdykma98vieziqPJhWiC2OFQZ9KdWzc6Plzs3LxBHT6InCwyDNZ0QLFiJiLdAk0n89gFuwMasaaTMmAvhSrrPEwE6Do7HAQFiwV+fmwwnA4AXFiIgECKbBinu1RMdRUfm9mufN5OUp0Qopz0sXM3lfPT2iWLFi5677PtaS6WYW0t+k24bcaMO28d260+tieWPnbCMzg3h48dUSePq+QTnJUBhxMEVgogAkPTFaApxcRksYI0AOywEzNrOsyJOqXIosPHt6wpsWI4HQgNJR9fVgaKS7SYthQYpM6ctvSK1+L7e/Xl1ojLGth//vOf5rwdgJUrV15//fXdunWTVCeEKCfBzlOM7P2JHy5cuOj9L3ectV982bfVlZOmz5hx59SRHYPqUcCTYCfcTin10z515BCfSVO5uZyfR8Sw+nBpKTFDGayYNIKms2EAikiDrrOmEys4nACzrkO3EDOUYquNfGwAmEH2UgoJgZ8/K0VFRWgTS3Y7goMtw8dQULC3X/avmDVrVlWVEM8///xf//pX83FSUtIVV1whNbBCiHL1KEM0cnpYj/F/+s+yH1JTd694eebEPlEXbm8sSf3uf8/eM6ZTi3ZDpz+++KsThZK3RVPgdBjbvzV27VCZGVxaSvZS6Bp8/GAYxAq6BiKYXU0MRWBAAwOGQYYB0qBrYJBhQLE5UUeG85dCCoLZ5YRYQSMqKoDNqnfrVf9THYDmzZtX7udy3qOPPlo+kzdmzBhJdUKIiiTYeZolsvfEB15asSs1dcen//7ztT3CLwx4Rcmb333qzmHtW3YacdebO0u8NEghPIHZuXunOvIT6TpKS1BcxABpGohgGAABBDPdEEFjZiZWioiZWRmsFHQdug4GDCcA6BorZQa7skykmYu2Ttgd0HS9czetY2evvd7amDlz5pw5c6q6mpCQsHjxYg8ORwjRYEiw8xZrs/jJf3n1i32nT21b+sIff9MtVK94lfOPbXz7w28KvDU6IdxPnTjORw+zzcb5eZydpZxOlJTAUGwvZWXw+aMizt9OZts5YgVNIwaUwQAsOnQNzDAcUAwwm73r2AARQCgpofw8+AfoA67S+vRDFdNg9cTs2bOXLl1qPp45c+ZLL73k8rb4+PgJEyZ4cFxCiAZDgp23+bTof+Mjr686kHby2w+fvWd05xD5KxFNgsNuHDnIOVmccValpqC0hIqLYTjhcJDDDqdBTlXW3IQIZTsTCExgJgY0ImZSCiDoFmgaa+dLKBwOlJaipJQNBYcdzBwUpA+8Suvao56nuoSEhGefffbWW2/94IMPzI+Y2a7SmmxcXFxSUpKswAohXJIUUV/4toobMnz48KG9W0hvQdEEGCd/VocPckEBsrOhFPv4QtehabBYQBoRmJkNg5UCAawAgACNCGa1LMDnHxAREVlt8PUlm40sVvj6wmLVwiKoTVsKCtY7d9N7x3vz1dZAeQ2sYRjTp0+vmO3mzJlTnu2ks4kQonoSIryvNG37Z+8tWrRoSdJPOerXbxeiwePSEvXd18jJRkAwk1YW3ZRxfuGVACKNmJnY3FpnlrkSNIJxfgaPQMxgZiIQCAxdZ0Nnm02z2eAfQLHtuTCfQkK17r3g61vtiLysUmcTM9sB+N3vfgdg5syZAB566KE+ffpIqhNCVE+CnffYz+z44v1FixZ9mLg/27joqhbSpVfbev27SIhLo5RzxzYj+WcoRQW5VFoKpdgwYChmBbBZCUsMImKYkc6ctNNBYCIwk2GwObEHBoMYZigkZigGg8IjOD+HLDa9aw8ttr2XX3K1XHY2MQzjjjvusFqtN910E4CZM2dGRkb+9re/lRVYIUT1JNh5nuPsrpUfLFq06INVe12cO0FB7YfdeMeMGXdcf3UbPy+MTgh34sICY8tG44fvUFQIZtY0KEUADMVQxMyGIgIUgxikEcCaBsUMgBVBIyJAYwIxWDEUSDN332mk2CyJZT8/OOxaSLjWoxd16url11wtZi4qKnJ5yel03nrrrQ6Hw5y3mzZtmmeHJoRokCTYeY4zc++qDxYtWvT+yl3nHBdf9o+55vrpM2bceePQdgH1eoe3EJdEKXXkJ8eObXxoPxwOAKxpmq6bpaxgJoBRVt7AYKr4AQ1Q5nKrKluu1XWzgx2zgpOZiJxOOO1Mmubri4goPbq11rU7RTbz5kuuASJ6+eWXlVLz5s27+Ko5bxceHv6b3/zG82MTQjREEuzcz8jal7hk8aJF731R5ZkTt985Y8bUkR2DpZZFNE5stzu3bFD79iDzHJwOMifqlGKAzONvNAKj7PQIIiaCUmQQa+YUHQEMjUA6lAFmYgYDmgaLzk4n6Ro0wGrTWrXRrxpCUc0pMqqqBr/1xBNPPDF69Oirr76aiF555RUALrNd7969Bw4c6PHRCSEaKgl27mPkHFy7ZPGiKk+JbR4/4bYZM2b8bkylHnZCNC4qL9dY/RkfP4bSYjacRARNZ6XK8pkCsTIn5pg0YkVm3CONwMTMZmmEWTKhm29+mC1WOB0gjSwWWG1o3kJjRvNoy7BRFBLq3ddbE2a1xL///e8vv/xy2LBhZrbTNM1MeOWks4kQorYk2LnN1490H/xS2sUft0T2+e3v7pwxY9r43hHy7ReNnTp31li3Sh0/BgJrGlksMAwQka6bha6sgQxiZVD55JxiApOmgcHMMBi6TkSsGAyAyWKFjw8I5OdPmoao5qTpCAiwxPdvQKkOQGFh4bXXXlue7V5++WUA5dlOOpsIIS6BJAu3cdgvXHfVw7qPufXOGTNunxDfzOalMQnhUZyTrb7Zwskn4WOFw3l+ZZQAgDSY9a1E0MishCBi8xgxgFkxaRqxcb4wlgAmVkwEiw6ngzQdAPsHEBsIDtN79aU2sV57qTVWqbNJVdlOUp0Q4tJIsHM7LbjTyJvvnDFj+uQro328PRghPIYdDrVzG586wZpGVhuXlEK3wDjf2ocImlZ2JqyZ8ICykgmNyFyfZUDTzGZ1ZQdOKIMsVmWw5nSw1UJWC4WEaK1i9B59KKq+10mgis4mhYWFEyZMWL16tbnf7uWXX27Tps2MGTNkBVYIcQkk2LmNFthh2B0PzJhxxw3XSN8S0QTxiWMqLdVcRQUznE5YLWVdS1hjItJ0MEMpaBpIM5uXEFNZ5lNs9qgDmDSdGWCzE4oioxR+flp0a61rd61VDLWOIb0B7FN1Op0HDhxweSk/P/83v/lNebZ7+OGHPTw2IUSjYRakibpmzz+bVaiYmZl9QltG+Nfr8ryqpaWlRUdHA0hKSho9erS3hyMaDsNwJn2pUpJVVqZmL1F2Bzkc0DQGkwJrRKQxERFgKLACaWAGKzCYAF0nVgCxpsNwmvN2TKT5+rGfn9aytX7VYIqOIZ8GNglut9tvvPHGzz//3OXVoKCg9evX9+/f38OjEkI0JjJj5x7fzOo+/LVMAAiZ9MHh5bf6e3U0zryUo8dSz2VlZWcX2C1+IVExHbt3bRcmO/2E2xhHDxnHjiIvlwrzlVn9Cpx/F8mkmInLal01DQwoBRBIY1bEzMoANJh9TsyiCk2DfwB17qZ17Gzp0RsWq1dfX+0899xz119/fadOnWw228cff1xVtuvUqVOHDh08PzwhRGMiwc49yjtoBU28Z6r3tv7k7/nojaVb9/6UnGOvNDGrBcYMmvj7u2/oG94AlrBEQ8LMfPyo8c0WZKSDwQzSdTBgOEkzi15VWcQzj4A1mHQNusX8OGnEbB4Dq4jLmhKzzYcCAy19+ukDBlFoA9t5ZlZLzJ07d3BAsbEAACAASURBVMOGDd26dTOz3c0337xixYqKt0lnEyFEnZCOuO4RFhZmPujUtasXv8cFh7/Zsudkjp3JFta275Cx111/4w3XjbwiNlhTBclff/D4g8+sOX3xMbVCXAY+fNDYuU2dOwsFaDrpOkDmOa4w315Q2aGurMzcx6wUM8NigcUCXSdNg66TxQqbDSHBHBhEYeFafH/LyHENNNUBSE9PHzFixMGDBwHYbLaPPvpo0qRJ5bdJDawQoq7IjJ17REdHA0cAeH0Pox7Wc8wN108YFd/K75d9fsUnVv7nifnbsrJ/mP/S5z1fnNzKiwMUjYlKTVEH9nJuDjmdAMNmg2EwKyINZJhHhIF+KYM1V2hBIKXYbG4HjeEkqw80kMWqfP2pqJBatrL07Y+GUCFRUaXOJma2K5+3++ijj8x5O0l1Qog6JDN27hHRq1dLAMCJY8eU94YR3P++efOfvfe6fhVTHQC/tuMfvn9ECADnodVrj3tpdKKRYYfDOLCHc3OgDDjtDEZpKSuDnE4YBjNDcdk7HU0rm7cDg0FlB8OWLdGWHSGmWGka5eUhKNh61RAKj/Tuq6utWbNmVUx1pvT09NGjRx85cgTn5+0eeeSR9evXS6oTQtQVCXbuQVfdMjUGALJXLd/k4oBYDwmI7dLK1/Ul376D+voCQPqxY0WeHJNotPjkz3wmnQxDnUmH0wmnwU5H2XY6ZQBgKHMjHYPLWpyYc3esiAmKoRSDwcSGAaXgNBAYYBkyskF0Hq6oqKho3bp1Li+lpqYOHz68PNu98MILsq9OCFGHJNi5CV11z5/irQDS337sxQMObw/HBbJazb/9ykdkCHFpnCknkZNpnDmD0hImMtvXkUYgDWDSNCINbLarYzBDo/PxDmBFUGw42ekEKygFm48WHKLHD9R79vH2K6s1f3//tWvXXnHFFS6vmtnu2LFjHh6VEKIpkGDnNl0ffOf5ocGAffs/xt7033353h5PZSmHDhcBgF+LFiHeHoto+LiwgA/u56wsFBVAMQyDlSKlYBhgxQw2DJBGGhGYmFkpoOz8CQIxEXQLaZqm6axbtZAQREZR1+6W/oOgNaQfU6+88kpGRgaA0NDQarJd8+bNyyushBCiDjWkn5gNjbXng1+sn3NtK6tKWfGn+O4j7n/ls11nSutJP+iincsTTwJAwICBPRto92RRnxhbNnB6KhxOgEmjsrJWc7tcWZ4DK6P8KNjzzeoAABqgETSdzepZHxuCQvRuPS2DroG/d3tA1k5CQsIDDzwwZMiQ9PR0AKGhoevWrRswYECl26SziRDCfeTkCbfZ//aMx1fnAbkH1q47mHf+o5aQmG7d2zcPDQ7yt/5aqu5x16InxwW5Y2wFP74684m1Zxl6xzte/c+U1pWTXWJiotlAtbS0dMuWLcePH1+9erWcPCGqYuz6wUhayXk57OtP9lLzjFcAcDqhDJAGswJWKQBMBAIZZhUFzDMnzL52YAVfX61jF0u/gdShM9kaUhPtijWw3bp127BhQ4sWLQDk5uaOGTNm27Zt5iWpgRVCuJW0O3Gbcz9+vmxZZuWPOnOT936bvLdGnyFj2BtA3Qc7lb76xX+vPcuAT/fpD066KNUBOH36dPnvoeDg4PJ2y0JcTCWfMLZ9q0pLYPOFeVgEG2BiEFl0OM08p5WfAAtmMGA2IjbfV5qtT0Dk46tfM1y/8hoKCPTyq6qlSp1NDh48aHY2adGiRUhISFJSkpntJNUJIdxNlmKbmtxtrz0x/8d8gJoNm/nXiW1c/h/Qtm3bUaNGjRo1avDgwdnZ2TKtK6pUXGTs3sm52WS1QSmUlrDTAcOA0wGnA04nSANpZa1MiKBrZPaxI40081hYjTWdrTZq1oy692qIqc5lZ5ODBw+OHTvW3G8XEhKyZs2aO++8UzqbCCHcTWbsmpTCvQv/8cLa0woI63/f0w9cHV7FTNyIESNGjBgBIC0tbe7cuR4do2hQjKOHOS2FHU7NcJrNTczTwEBEYDAzKwIxaYSypVgQQSkQWLeQYTA0smqIaqYFBmktWja4VJeZmblkyRKXl/bs2TNy5Mj169dHRkaGhoYuXLjQw2MTQjRBEuzcZsjLqcX/vqyZLs1aRQ+6S1NyaMkTT6/42Q4E9fn9U4+ObdnA2viLeocdDuPYEc7JoeIitlphtZLDAV0jp7llzmw0DDATMxORrpnrsETErAg6NAv5WMk/ABFRZDipZcM7BCUiImLz5s3Dhg37+eefL766Z8+eIUOGlO+3E0IId5Ng5zaaxce3/nx77ceXP/3EkkMlgH/3aU/NnhjbkHali3qK01Jx8jiVlLAGMMNgKMWGQQRWTJoGEJGZ8BismDXSLTD30ykDNltZRUVgMNlLuXkLrW17b7+mWli8ePHUqVN9fX1jYmLWr18/fPjwkydPXnybn5+frUFVgQghGjTZY9cUOE+tevYfi/YWAr6dbnryHzd1qNOZQNE0MbPzxx9UTrZiBafBdjuxAQIxswLMxnXKPCWMQUSkmbEPAIgUAMVsOKFbyWqFf4DerRdsPl5+VTWWkJBw5513Tpw4sbi4GEC7du02b97crl27SrdJZxMhhIdJsGv0jPQNLybM35kH+LSf9PiT07o0pL5gov7ilGR17BA5HaQMEJGuQ9NhsULXiQBdIwBQUIoNBrPZz45YwVAANIANJzHDamVfP61LN4pp691XVHPlNbBJSUmTJk0ys11MTMymTZsqZjupgRVCeJ4Eu8aNM76em/DKt9kMW8z4hKdm9GhgG9NFPcWG4fxqvZaXB9LYxxeaBlYAAIJugaYRMzQN0BhMUObxsIBZUKHKDg1jA6Rpkc30PvF6z7iG0lWnUmeTqrKdpDohhFfUn01gTYQj+9TxlLNZWVk5BaUGR/QcO6it1X1fLXnZU//edFYBCO7UI+jAyiUHXNzk13X0pL6R7huEaITUrh9wOoVtNjgcRARNh/P8ichEsFhgrsOCic36CWWWTwBMBqBYgTXdQpFR+tVDtK49vPhaamXWrFnPPfdcpQ8mJSVNmTJl+fLl5fvtHnzwwYULF8oKrBDC8yTYeYTKPbhq4X8Xfrru6x8OnS35pVR26KvnNv35l0yVve39d77JABA+8LbbB9XBO/3ss2fLDm3K27/6f/td3xQxKV6CnagFzs1RB/ex00kBgZyXC6VgscBwslJUdq6rOW+noBQUgxX4fH0sCARYLWS1ISBQ6zeQunT36qupheTk5DfeeMPlpcTExMmTJ5vZrl27ditWrPDw2IQQwiTBzt04a9u8++7429KDBb/e+iQs4PCCB58+AFCvwgF7Zne97C/evP8Nt4Q5fuUmv66yWCRqwzh6iHOyyWJhmw0ElJYqTSPFpAxoZvNhKutLrGvQGczEgDJY08jmC8PJPj5EmtY6Ru/ao6GswAIwZ+NGjx6dlZV18dXExMSJEyeuWLHCz8/P82MTQgiTBDu3cvy04KZR961Iddbw/h73/d/IZ+9db/De1/+7edYrQy53C2SL/jfc0v8yP4cQFbG9FKdTYLEoQyEvlxxOdjo00swTYNk4fzIsFDQNmn7+nAnA3GGnERSotJgim2v9BlJYw3hXsXz58kmTJhFRfHx8YmLimDFjcnJyLr4tIyOjpKREgp0QwoukeMKNTn9655g//pLqKDB20IQZDz/xr5fuH1pVDUOL62+8RgOA1OWfbvPMKIWolcwMLixkw0BJkVZSzLoVFgsIpOuwWEjXCVz2n2HAcJwvqgA0DQA7HbDboVvpiiu19h29+UJqLCEhYcqUKXfddZdSCkD//v3Xr19/8f45s7NJWFiYN8YohBBlJNi5Te7nD//hg1PmLzU9ekzCsgMpx7/57O0XH39s5uSeVXbrirruuoEAgJSVK3d7ZqBC1IIqKkTGORQUgJltPmSzkM0HpMGcq9Mt0HSAzN10MAw4jbKDYs3exQ4ndF3v3M165eAGsQhbXgO7cOHCu+++28x28fHxa9eurZjtpAZWCFFPSLBzl/1zE/6XAQCwdrpnxY7Ep6d0DTn/3a7uF1r0FVe0BAAc3b49292DFKK2OCVZ5eeQrpHNBrPbsMUCmxVEMJwgwGKBboGuA4BGrAx2OliVNUNhTaeo5trVQ734EmquUmeTqrKdpDohRP0hwc5Njn66bC8DgNbjr0teu7bFBUmu2pmKnj17mg/27NnrvvEJcSlKitWpkzCYA4NhtcIw2DwTTNdhtUHTYRhQBoigW2C1ksVKFiuRRkTQNbJatQB/rV0HrVkDODh11qxZFVOdaeHChX/84x+ZGYC532748OHr16+XVCeEqCekeMI9sjdu2gMA0Ibe/0C/Wn2XwyMjdcAAzqSnc9kh6kLUC+rnY1RQAF8fGE5oGhtOKnKAzIVXAsBExMzKqPjehRkAyNcfyoB/AHXognp/dur+/fvnzJnj8tKCBQsAzJ8/n4j69++/YcMGzw5NCCGqIzN27nH69GnzQZfBg6Muulr93qLgYLO0QuXmFrhhaEJcImaVksw2m2KorAwuKCjbQmcYUGBDgZmYAZCuscUKqw1WG2w+5OdLFp2sVihFzaMbRM1Ejx49li9f7uPjejfsggULymsphBCiXpFg5x7lvRBc1shVH+wKC4vMB7Z6P60hmhLOzTGys1BYgLxcKiqC0wkiJrChWDmhFCvFICaNDfX/7N13YJRV1gbw59x3Jo2SBEVpQYqCFYIgoAjSgqFI0W9XXdC1AaKussUCRnBxF1BXUdcuggVXsQGKAoHQUXRtIAsoIhaULi195r3n++PedzImk0jJpJ7frjiZknkHRR7uveccuC4UcUwsYmLgjyEGHzpEdes5XbtRKWmpilixYoW5MWDAgNmzZ5f2q/CLL77IycmpwOsSQogjIsEuOpKSksyNgwcPHuVL9+3caVoK1znhhCr9G6CoZfjgfv5uK+/ZTWAmBw7B8ZHPT44CQMTQGm4Q2oVSYEZhIQULwUAwyK7LBDqng2reorI/R1kyMjJ69uz5j3/8w3w5ZMiQiOt2prNJvXr1KvwChRDiN0iwi46GDe0G7JZ163JLPFrWih1//PEn5lazZs2icWlCHIv8PHf5Uhw6BKUQX5difNBsj9b5fOQ4ABFAINKa3CARWDPyC5CfBwA+RyUm+s6t0u2yQzWw99xzTyjbDRgw4O233w7PdlIDK4SoyiTYRcdJHTumAAAKl7zxztF0Lclf+No8s4ub2L37OVG4MiGOGrvB4H/X6p+/JwL7/eAglMMABwPsBqEZjgOfH44PipgIWiPokiIAcBzExCAuHo2bIqnqNu8t1tmktGwnqU4IUcVJsIuS89IvNv/pz3773kkfFjuKU+qKnd787/tm7wMAxPXqe6ETzSsU4kjxtq28aQNcZiLKy+XcXBTks2ZisOsiGOBAkLWGUvD5ye9HTCwrB+To+FgEg1CK6tWnxs2qbEfiYqnOKJntunTpIqlOCFHFSbCLEtV75PWtAQD81SOXXfHEhvAN2VJ+f9u77PbL7/mwAACQcv1tw+pE/SqF+E1ckB/8erPet4fz8xAIIBgkzaxZmdkSADNDuwgGEAxAu+ZVpIBgQAVcOIrq1kOduuqEEyvzY5RuzZo1kydPjvjQPffcM3XqVHN7wIABH3zwgaQ6IUQVJ8EuWvyd7/z70ERze8f8W87v9Psp72w6VFp7hIIfFt5/Wdf+D683sS6+x/g7ekpJrKgK9E8/6g3rcPgwuUHTkQ5gAjOxBisoAtkWxMwIBBEIgjVAUEQxMVQ3EXl5iItXDU+u3A9Smm7duj311FOlrSaOGzcutG6nlPwHUwhR1cl/p6KnwfBnXr6qhf0Zzt70xvghZzZs1C7t9zf8+ekPbYO6nWum33/PrcP7tGnUqv9db281qQ4nDn1m1ujmlXPRQoTjvFx34TvYv8/MBFMEBjMzmMku2jE7BAKI2FFwHCiCz4/4eMTFMcAKXJCnTmhIDU+q7E9T3Lp1dh7z6NGjH3nkkdKy3Zw5cwoKCirwuoQQ4tgRe38GF9FQuPHZyy6+ef724BG/okH3v78zf0K3+lG8qKOwY8eOJk2aAMjMzExLS6vsyxEVivPzg2+9qjeuZ9clkFmbg9ZgOxKFwQQChRIf4DggkFKIjQMA12Wfo/yxztDfO6e2qeTP82sZGRlTp0594YUXRowYYe555plnxowZU+w/iVItIYSoXmTFLrpizhz1zufLJg885Uj2VVVShzGzP86qMqlO1GrBYPD9OcEtm1m7UMo2InZDhwkYDCICAcysGQARSLsA2HU5EGAAwQBp4IQTnKZVq3ePqZZwXfeaa66ZNWuWuXP06NHF9mQl1Qkhqh0JdlFHJ144bv6W7z6Yeef/dWleP2Khq5PY8oI/TJy9/rtPn/x9a39FX6AQxTGz+/EavfF/qqAADNKa7UKdBmuY/VjTkRhgMst1GiCA4TIRUTBAhQUAISGBTjzZLuBVDeE1sGVkO0l1Qojq6KjG04tj5m98/jVT37hmqnv4u88/+vybn/fu27c/241LOrFhw8atO3Tt2DJRWpuIqsP97BN38ULk5YI1AAYUwARigKEJBCIGQNBMtjYWDA0QwYWrAIbPh/h4JCRQo8aoMmUHJTubmGwHwOzJjh49GsAzzzyzePFiSXVCiGpHztiJssgZu9qGC/IDH63hZZmcm0uAJlIAtPYO0wGAPWFHBNjjdkWbl6SYGT4fKcXx8SouHied5Ovep4pMEnv33XcHDx4c8SGfzzdr1qzLL7/cfFlYWCizmoUQ1VFV+WO0EKLScfbh4LJMvWIp8gpAVNTewx6ms8+yf2Nmr5UdQKwUE0CAzwel2HEoGARYNWmmmqZU9CcpxaBBg2677baIDwWDweHDh4f2ZCXVCSGqKQl2QgjA1MB+sIK/XEcFeSAmKNjlfMKv+oCE6mHN3xlkvmQixXZiLMh1oTUaNHROPxtO5R802LZtGwAimjZt2q233hrxOa7rPvbYY1qX1m1SCCGqATljV9lyvlv5zjvLPt+6O89/QsqZFw65tG/bJInbooIxs17/GX/9FeflmDoJMqfmALJNTcxKHZuUxyAmEJR5LZigzZ4sm3uIXdSp43Q5nxo3rdRPBgAZGRmPPPLI/Pnze/bsSUSmZd2jjz5a7GmpqakLFiyQLsRCiGpNgl0UBbcsmpG1TQP+NunX9W5RsvnpvhWTfnflP5btCBTddefY1FFPzX50eJsqVEQoaj7evUtv3cIH96OggFgDZCohzAyJ0L+6oQ1Zu2oHJm+flsHesTtNmrXf72vf0Wl7VuV8njChaolBgwaFst20adMAhGc7qYEVQtQM8mfT6Nn+9Khho8eMGTPmn5+rk0umuuCmhy4ZMPFXqQ4ADn/x7FW9r37tJ6lpERWIv93CP2xDXh602X/VxCD2luqY2WvvxmbpjgEUFVOwZrJLdxrssuM4zVv4uvdCKbMcKkx4DWxOTs6gQYOWL18Ob082dN5OUp0QosaQYBct7up/TVmeB8Dpfvv4nvElHt81c+w9H+ZGfCn/9MaNf3p1T5QvUAiL8/PdDes4OxvaBWtiYhDwq0xGRXUSpiTWe63ZeCXb2I6J2PGrBieqc1KpTt0K/RgllOxsEjHbSaoTQtQkEuyixF368qs/A4D/4muHNyn5+IanHs7MMzedlPR7Xs786JO1C2fe0fNk80/k4Jx7p62vsIsVtZv+33q9Yzu0ywzXLMkxg0ILcxaHFRWw/b/ZigUAJgWH4PdTQoJq3NQ57YyK/RDFvfTSS8VSnZGTk3PJJZesXr0aXrZbtWqVpDohRI0hwS5K1i1evBsA0OniiyP8nvHFa69tNrec9ve+/+6kEWmdO3a5+Jr7Fy64+xxTQbjl1Vc/raiLFbUYFxYEP1qD/Hx2NbRWILOvCg1NYduuXoAzJ+oIRCAiBSIGsVLKIZAiKNRPVh06UXKDyvtMAHDFFVcMHTo04kPZ2dnp6emhdbu6dSt5ZVEIIcqRBLvo2P/ZZ9sAAI07dYqwXvfDokVfmVux6WNvObuohCW2w+1/GxALAPhu1artUb9OUesFVy/Hz9vhusSaAGJvkgRB2VYmxGxqIwDAK5YFEwPQIFLEIDBBuxQf55zbSbWpzOW6vXv3AoiJiZk9e3Zp7YhzcnImTpxYsdclhBAVQYJddPy03YayRo0alXw0e+WqL8wtp9ewwUm/eqxenz7nmVsbNmyI4hUKAeht37prliMYIFJM5PWmA2ybOq8pHYFA/OuNWTN3QoGZmVhDaxUbS917+bp2r8SaiYyMjHPOOWfTpk0AYmJi3njjjYjrdqmpqW+//XaFX50QQkSdBLvoOHjwoLkRcZvnk7UfBc2t1D59iu9YNW3Z0vS8P7hvnxu9KxS1Hu/bW/jeW5yTY7rVkamDsA+afibAr9IcsRf74D1U9Ljfpy7s5b+wMithTbXEzp07e/fuHcp2s2fPLpbtpFpCCFGDSbCLDr/fb27k5OSUeHDTqlV7za3GF1zQosTDdeokmBvZ2dlRujwhDh0ofPMV3r4dzKQ1a83MXiksm0oJAnRRa2JTKGtX8jSIQeZLAuDzq3YdfH3SK+/z/KoGtoxsJ6lOCFGzSbCLjqQku8G67dtviz+2a8mSL82t2G7dOpZ8bXa2zYIJCQnRuj5Rq+ntP+Q//xS2bSXWCuCihnQG2QYmsMt4oaU8Oz4MpGBGUxCTgj/GOaWl0zOt0tfqwu+JmO0k1QkhajwJdtHRsk0bs5+6f1nWZ7/uNfzzm6+vsfd0vahHbImXHty71/QsrpOc7I/uVYrayP3i08JXnsfOHSbQMdhWuXpjJajogJ0ZKUHmC/Y62Nn7zKscPzU8WXXvpRqeXFmf6IknnojY2WTnzp1paWlbtmyBl+2WLVsmqU4IUbNJsIsOf5euHczvklufve+VXUUP5K26/5HV9ujc2WlpjUu+9Msv7XpecnJylK9S1DruymWBOa9h/y9gzWCGaVwCrU2r4dCAWDCzDjU64aKexGx/JDBBESUnqvMvdNqeWTmfBwAwYsSIzp07R3zop59+6tGjR2jdLrSSLoQQNZUEuyhJufzKbuYnd9/cGy4cOuHF91euWvzGo6N7DHrsG/MM6jTiD21LvnDnJ5/8ZG6ddNJJFXSxohbQBw8UzJoZWDCX8vPNGFiT0bTZclXech3ZgbCKvPsIGvCyHJHXuZiJKaGO6jvQ6dS1sjZhzTHUxMTERYsWderUKeJzdu7ceccdd1TsdQkhRKWRYBctKTfce10zc7Pgm3n3XTPwoh79fj/22U8O2ceTrxg3umXJl+1799215lb82We3rpArFTWfu2Fd4PknsOFz0hqhVsMw/UrsHiyb+8MKX8NqJmyFLDHDS3cUE+/0H+xrfy5VUqrLyMjo3Lnzzp07ASQlJS1ZsiTiul1qauoLL7xQ0RcnhBCVRIJd1NTp86//jOsQufyBml357LRLI+wK7Z3z1kpvo7Z9e/mnI44bs7tiSfDdt3jPLi7qZgK7MBc+/hWwm69hsc8+Thx6KgNMin0xdFob1a5DRX2M4ky1xKZNm3r37m2yXWJiYmZmZrFsJ9USQojaRqJDFCV2n7x09fOjuzX+VYVE/Cn97pq75qX/i3TU/Jtnnsy0He6S2rdvXgHXKGoyZg6uXh5cuxrZh0OH48wpOvMjoWixjQAoWyTBoZU5gDnsdJ1S8PlIKSc+3unYmWJKFv9UhPAa2DKynaQ6IUQt5Pvtp4jjkNThuqdXX/PAtk8/3vD9nsO6zkmtU7t2aF63lDz9y0/1+91xZz8AQLP+51bgdYoaSW/5yv3kQz50CEHX2231egp7DeqKkh2DCBpsi2HZbMyajVdFDFZgEDHDIWp5qjrjnEr5UCU7m5hst3Tp0kaNGpls169fv8LCQkl1QohaiMI2Z4QobseOHU2aNAGQmZmZlpZW2ZcjjkZ2dsFLz2H7d9rVtgEdmXjmbapy8XvCaYDCzt3ZVieKQMTJyTFXjVSNIkxBjrYHHnjgzjvvjPhQu3btsrKyTjzxRAAHDhzQWjdoUHysixBC1HiyFStEDcSFBQWvvYQftsHVti8d2cGvoT4mRF4RBYf2aYtuUNhyHsGs1IEZiItxOnSulFQH4IorrmjVqlXEh9avX9+jR49QLYWkOiFE7STBToiahrf/WPj4Q7xlE9jbdCUOLbwRkfKmvtrzc2ElFN7TvJX8UFs7KCJAKdW8ta9Lt4r/UIFAAEDz5s2zsrJatGgR8TmbNm26/fbbK/SyhBCiipEzdhUtcPCn73/au3///kMFTp2kpOQGjZqf0jC+0kYxiRqFmfWnHwUz38eh/WAwgQEFUFhdK7OtijB/mQ1ZILRsZ/ZeiUJzKUK7uESUnOz06kf16lfw58rIyPj444/nzZsXHx/fokWLFStW9OrV69sS4/pSU1MfeeSRCr42IYSoUiTYVYzg7s/mzpj+yvzlH366eVf+r481+hJPadf5wn6/u3bUH3q3rCMRTxwjZtYfrQmuWILDB01a47A1+dC/WKFUx6Y+IuzfuKKGdvBmwdrdWgUwYuOc83uoUyK0X4yqULXEkCFDTLZr3rz5smXLimU7qYEVQgjIVmwFyN86946+LVM6/m7cU3PXbCqe6gAED37/2eJXpo7qe2rTdlc/vnafVLOIY6I3fumuXY2DB5mZItVDhPNCG8EMn+DQRDFz0o4BsJ05QRrMPp9q39HpdlH0P8evhNfALl68eMiQIXl5eQBMtgudt5NUJ4QQhgS7qNLb3x59brthD2ZtLzySZx/c8PKfup3V78HPcqJ+ZaKG4f379H/X6gMHGBxqO1dGuDMrcQwQEzEpIoIicwrPa1JsN2gJyh/jO/McX6+0Ch4dVrKzScRsJ6lOCCFCZCs2inbOu+Giy2d+Gwy7y594yhnt2p3Z6qSk+nVj3dxDh/b99PWXX3z5ze48b51O71pyR9/+WL7k9nYxlXHRonpy8FVo8gAAIABJREFUN/1P794BdskcmiOmI1j6NVuuYPbinKmFDR3DYyJFMTGq5WlOjz6UlBztTxFu0qRJxVKdsXjx4qFDh86bNy8uLq558+ZLly6tV6+e1MAKIYQhfeyiZs/rl55x+Zx99quYZn1uvvtvoy5POz3ZKfHUvO0fvvPC45Mf/M96b5Ksr/3E/35yb2ql527pY1ct8OHDwXfe1N9/i/w8BIJgbXZT7YBXe1quxKtCNbAaIBCxZiJir0UxmIljfE7rtr5+A1TTlAr+UJ9//nnfvn1/+eWXiI+mpaWZ83YVfFVCCFHFyVZslPDa++/0Up2TMuypzzYvefjG9EipDkB8s/Mvz3jls80Lbz+3rrknuG7KXbMi/44mRHG8dxcf3A/tMptzcuyyZhvrTOcSDvWoCylKesqUwhIRh6bIAuBYv69LN9+ll1dwqjN/2uzQocOiRYuSkiKMVAawePHicePGVeRVCSFEtSDBLjp47auzvzM34y+YuuSNG8+q85uvcRpf/EDW7Ouamq8Ks157e2/0LlDUJHz4MAcCWjOCLrQmDce0nTNH5chsrHJo4kTRCwHzJA1bE2vO1WkG16kXc9UN/ksuU4mRo1WUZGRk3HDDDVprAJ06dVq6dGnEbdbU1NR77rmnIi9MCCGqBQl20fHTRx9tN7ea3/TQX9pEXKeLJGnAg/debM7WBT/++LOoXJuocTgvl3NyKC8HOgjYtTguinDh82CZzRCJ0ANsu6J4O7esFVGzZjF/+qvT5oyK/BTwqiVmzJgxcuRIk+06dOiwZMmSYtlOqiWEEKI0EuyiY8eOHeZGo8HDuh7VT3KDoUO7m1v7f/45r7yvS9Q8HAi4mzbi4EForyKW7V8UlvAIFDp296vzduQ9G6QBKEe1OjXmj6NVckXHpvAa2DKynaQ6IYQogwS76PD7/ebGKaeccpQvPfGUUxIAAOT3V3rxhKji2HWD777FmzfYlnM2oSFszKsNc+b0HP16MY+9psTepqxDLVrGXj2qgrdfEamzScRsJ6lOCCHKJskhOpo2bQpsBWA6bh0NnZtbAAA4uVkzf7lfmKhJmIPz3nQ/+YjYnJFDeO1raAAsEbioJx3ZQWGh8lfArOFpx6eaneLvN4ji4ir4c5RMdcaMGTOI6Nlnn1VKdejQISsrq3nz5tLZRAghyiArdtHRsGNHU0f4zfr1uUf30v+tX+8CgL9Dh7PK/bpETeKuXKq/+IRcV4O5eM1rxBrY0DIehRoYM8Ag7fPjxBPV2e2oeYuoX3cJ3bp1i42NjfjQ888/H1q3S01NlVQnhBBlk2AXJZ3/ePXpAJD73rOv/HwUryv4cPqsjQCQMPCPvzsxKpcmagT+8fvg2tUcKNRmHY5sSgsxjYdDda921c681juGZ8KdUkolJPjanuXr2IWcSljF79+//+uvvx4TE7kl94wZM6ZMmVLBlySEENWUBLtoaX/z+AGJAPIy77z2qa8LjuxF+xb/5fonvgWgzvjTXcPqRfP6RLUWCATWrOTsQ8RQ3iE5k+J0WDUsiCkU48i7gVDIYzBrgGPjqdP5vh59qE7divwQGRkZ9913n7k9ePDguXPnRly3S01NvfHGGyvywoQQovqSYBc1ja964bWb2sYA+zNvvrDf3e9szS/z6Xrvx0+OuPCSJze5wIlpj7w1qYtMFBOl0T9sww/bEAwymFkjNPUVUAQQeQt1YWUURV1QQARiYtOLOKGOb+AQf680qle/Ij+COVc3YcKEULbr37//nDlzimU7qZYQQoijIsEuihqmP7Em6/6BLWJ5z8rJQ8469fwrxz3x1vIvvttfGNoxc3N2frV2wUtTxgw489SuN7+yuYCSz7vp1bXz/3SGxDpROnfrFs7JJmYzL4LCCmG93VczgsIy2U6HZsKCGUwEjovzde/jO+98iol8xC1Kwqslysh2kuqEEOJoyazY47PmrrZDpu8r+zmF2fsOF9uKVf74unVidF52ToH7659/JyE5Kd7G7W73fz3v+so9Ky6zYqui3NzCl5/T328j1zV3RBwFax8KewKZdT1mEBEUx/qdExo6/QaqM86uoCsHUEoN7KRJk0KTJBYsWDBs2LAzzjhDUp0QQhwtaXdyfALZ+/bt+41gF4EO5B06ELEPipu7f59XRnswTx/PtYkaSu/fx3t2k9aaQMxkF+HsdiyDiq3De4t5plKCiYiJXJ+jfH6Oi0PdCj3LOW7cuKlTp5a8f8KECY7jjB8/HkD//v3fe++9Dh06SA2sEEIcLQl2QlQz+n/rOS+PiaHDTtGZQ3beyp0NcUUH7JhAIILZggUpEClFScnU8KSKvPgWLVoQRd4ouPvuu13XNet2ffr0qcirEkKIGkOC3fGp37JTly4HovTNz2wkDYpFcVq733xNwSC86AaExkcQ2wkTDCgv25m0R0xEZkeWWStSYPL5qHUbiouvyMsfPXp0QUHB2LFjI2a7CRMmNGnS5Prrr6/ISxJCiJpEgt3xOfevC9f+tbIvQtQi+svPgz99r6AVg8kOgS0qfAUpFI2VMPeYhEdsJosxiBwASqFJitP2zIq57Lvvvrtdu3aXX345gFtvvRVAxGx37rnnDhs2rGIuSQghaiQJdkJUG+6enYG5b/iCLnvDIxRBAwphjYjNwh0xgbSJdEXH67zWdeSjevV93XpUTIuTjIyMyZMnO44TCARGjBgB4NZbb42NjR0zZkx4tktNTc3MzJRzdUIIcTyk3YkQ1YM+eDD43BOUm81gYmhbKsHKth9G6HQdw67Xkd2WtVMoTJGFIjJdTqjVaRVw2aEaWNd1r7nmmlmzZpn7R48e/dRTT5FXzSudTYQQolzIip0Q1YDe8lXhrOmUl2+rI8j+mYxt+5KwBTsGgZjAzESk7QvY61rMOjbe32+g6nIBldYipfwU62xish0As243evRoAGPGjGnfvr2kOiGEKBcS7ISo2ly3YMkCvTKLggF49Q9FnekAELFmUt5eK4GZCDDPM73rzDOZGT6//3dX+c5uVwEXHrGzieu61157rd/vN+ftRo8eXbdu3f79+8sOrBBClAsJdtEW2P/tl19u3bH3l19+2ffLwXxVN7lBgwYNTjgp5Yz2ZzZOkK1wUaZAIPD2a7Tuc3KD9sycSXEgorBuJmQLZDUTwMreazZrbZ87AkEpp1v3ikl1zJyXF7FVI4LB4PDhw0Pn7YYPH14B1yOEELWEBLvoCO757xvPzXx78ao1H/9vR27k4R7+pFYdzr+w54Dho67p17pCh6+LaoG1Dr7zpvvl56QDtioCoRpYtitxQFjhhI10GmxaF3treiAoJlC9+k7bsyrm4olo2rRpzPzYY4+VfNSs2yUnJw8cOLBirkcIIWoJWTEqb4EfM/81skfL5p3/cPdTby7fUFqqAxA48O3HC1564E8Xt0k559K7Xll3qCIvU1R9+uMP9PrPORBwNTQz2NRA2BjHRdUSoaNyxICZPOHVUrA2+7GKiBQlJaHlqdG+7HvvvXf16tUAiOiRRx4xzU1Kateu3fnnnx/tixFCiNpGgl15yv/mzVu6tb/49umrtucfxcv0gQ1z7h/Ruf2lD3/4i0zuFQAA3v9LYGkm5+cBrMxSnN17Ldp91bDVE/YlYQWw9g4zXszcpZQ6ta1ynKhedkZGxt///vf09PTly5fDy3a33XZbsadJZxMhhIgSCXblZvfCv3Tt8Lsn/ru/5EMqtt4JjVJatT27fbszT2vRtGFyQoQt8MLv5vy1R/thz2wuiP61iqqNmQtnv4iD+729V9JenmPyal+94ggQmTsVE8O0QTEPe49raIDj450z20f1skM1sDk5OYMGDQplu2nTpoVnO+lsIoQQ0SNn7MrH4dV39Rk6bUN4Jott3HnIiCsv6dH53I6ppxcvkyg88N2Gzz799IPFb856bclXB7W9O7h93pheVyb8962rmkW9E4WoojgYDL7zpt72LbOdCabIazLMxATNTERms9Xchu13wsQ2zjFMpSwziAhEymncGCc3it5lF+tsYrLd/Pnze/bsabIdgEcffVRSnRBCRFXkadzi6Pwy7w9nDX11p/dlTLOL//bQv/522dnJR7Ltlffj8uczxma8tO6gd09cl6mfrLnzrOjumR2ZHTt2NGnSBEBmZmZaWlplX07Nx8yBzPf1isVwgwQyo18ZzKZxHcNOC2Niu+dqQh+TbVMXKqVg1kR2YCwhPt5JH+Tv2j1Klx2xswmAunXrLliw4MILLzQf7eGHH7722mtlB1YIIaJHtmKPX17mXTeHUp3/1OEvfrFp4T9/f2SpDkB8Ss9bXvz0q6wJPZLtPfkf3Tv6qe+icKWiamNmN2sRr1gM1wUTGNrsvdpWwsREGmC2s8JCqQ5Emu0Bu9AZvFDTE1KOatTEd/rZUbrsYDC4adOmiA9lZ2f3798/VEvx17/+VVKdEEJElQS74/bDc/fO/MncjDlj1LxVL199xtH3LnFO7v33hcumpdkNqvw1U6YuKSzHixRVXzAQyFoYWLoArkvmAF1RpAPZilcT3ZgItkrWVkrY2wi7zQDMN0hIUB06UVJypHctBz6f7/XXXx8yZEjER022+/jjj6P07kIIIcJJsDtem198/sMgAMDX7u5XH+/f6JgPx8W3H/ufxy870Xzx83+eXxC5vauogdh1A1mLeOkiBF32qlq1mfsKNuNfCVC/OjhhludImUN0TMQ2BBJAoSIL5XPOOsfp1CUalz1lypSvv/4aQExMTBnZrk2bNqeeGvU2K0IIISDB7rhtn//eenMrZfSjd7X3H993O/GKf993kSloObzgvVX6N54uaorAkgV6+WJ2XWWbCtt9VWIKtSEGwOaAHQDb6sT8yOYQHohNxxOGfRIBqnUbZ+Awcsq/TCojI2P8+PE9evTYuHEjgJiYmDfeeGPo0KHFniadTYQQoiJJsDs+gbVrPzO3ml9x9UUxx/8NG18+oo9JhwfXrt18/N9PVH3Bj9fqFYuhtbeXCnjN6exdbLdiYZbpmMAKzArK7Ley/ZVsQyGBTc0snXpazDWjKDa23K85VAO7a9eu3r17m2zn9/tff/318GwnNbBCCFHBJNgdn++/+SYAAEhM69e5XDqUJF988Xnm1jdbtpTHNxRVmvvDNnf+WxRkZoBNDYSX1mzvElNHAYR+IHsCD8ymJQoxmS3borU7EFq0jrn2JkShI3GxzialZTtJdUIIUfEk2B2fffv2mRtNmzYtp2/ZuGlT808lb9++3HL6nqJq4uzDwTf+owvyGNo0MFHhXUu8GghzU5t1OCJm1ubQHZGpouDQEp2pqyCips1iRlwHX/nvwI4bNy481Rm7du1KS0sz5+38fv/s2bPvuOOOrKwsSXVCCFHBJNgdn8JCW7uamJhYTt/Sl5iYUOybixoqmLmA9+xSICIyrelM0xIyPzDA5E19hQNlepooIgUi8qIeE4js2p3pWte4mf+qG6he/XK/4Ly8vKysrIgP/fzzz7169QrVUtx///1yrk4IISqeBLvjEx8fb27s2rWrnL5l7q5d2eZWQkJCOX1PUQW5332rP/mAmBlsOw2HTswBYBRlOnPQjplAzNBeV3EFaLZDxghka21OPT326htUclRCVXx8fGZm5nnnnRfxUZPtvvnmm2i8tRBCiCMhwe74NG7c2Nz4aevW/PL5llu3bjU3TmjSpByqMUSVxMFgYPbLcF17oI5Apv8chSa9hj3Z/EgE4lAjE2a248S8aWIKoLZnxQ7/I0Uh1T366KN79uwBkJSUVEa2a9SokSzUCSFEJZJgd3yanHGG2e8qWDSnfPrOfT1nzkZz6/TTTy+PbyiqouCShdi/zzQ18YIaNDhUF2uP1pmSCphRE3Y+mFnh8ypl2euPotA0xX/1DZRQp9yvNiMjY+zYsT169Ni5cyeApKSkxYsXd+lSvDeedDYRQohKJ8Hu+FDX7hea8+nZ85586efj/n55q5984Utz85QLL2x23N9PVEV63x7+5EN4e7C2jwnZaldtVuDYdC6hohJYW00BIigqWtdjQANUp57v9yMoCtUSoRrYzZs39+rVy2S7xMTERYsWhWc7qYEVQoiqQILdcao/+NK+pu9czpK7bpq18zeeXrbCT+4d9fg2c/uUSy/teLwXJ6omd/UKffgwAFDYOTqT0mxoC/uVyaG9Vq9gNmx8mDmSR44vZtj/OY2alPulFutsUlq2k1QnhBBVhAS743XCFTf/3v52dmDe6PS/LtlzjN+oYNPTlw15cJMLAFCdxtxYPn3xRFWTl6e/+IRC4yHYzoowt8jMlPB619mpYeZrOzCMAdb2yaZIVvkvHqjO6VDuVxqxs8nmzZv79etnztslJiYuXLjwuuuuk84mQghRRUiwO251Bk0cf4Ft7Z+77uFBFw5/8qN9RzkMLG/rO3f1u2jM/J/tMkzTayff3KZ8L1NUEYXLMnVeDjOztoENdtHO1kuYX5OhlTy7YEeg0HOZACgyNxR17qJ69Cn36/zll19mz54d8aEvv/yyT58+oVqK559/Xs7VCSFEFSHBrhycdtv0+y7wTqwXfP2fmy84/YKRj7yzfl/wt1+b8/2qF+8ecvbZQ+5f6S31UfMbnn0grW60rlZUIi4s5M8+BjOISJmCiaJJsKGBYuxNEgt1QeGisgqECmM1Mdq08fcbTFT+q7sNGjRYsWJF69atIz765ZdfhmophBBCVB3lf9S6NnLOuP3NWeu7/W7WNhPl9N6Ppv95yPQ7T05NS+/ZpVOnju3bNjsxKTGxft0Yzj108ODBX3Zt+99nn3763zWZC1duPczh3yux+9S5jw+Q9Y+ayf14DXIOE4jBCgSCE5oGS97JOfZGiVEo9LEic8oO3hofNEg1bxkz7HKqW85/CJgxY8aVV14ZHx+fkpKSlZXVq1evbdu2lXxaQkJCTIw05BFCiKqFmPm3nyWOgPvDvFuHXv3k54eO/Vv4mg164O1X/3xe1Vmt27FjR5MmTQBkZmampaVV9uVUb+wGA08/GvzxewfQWnvLbFyU37yNV9OcONTiDqGSWHsQj8GkWrT2j7iO6pfzeAlTLdGjR4/333+/Tp06AH788cdevXqF2isaUi0hhBBVk2zFlhun+ZAn1q57+y/nNzimbbHYVpc+umb9u1Up1Ynyxbt26j17HNbMmmyLOmb2hkuEjtKZ/ibMtv2JeZA5dNgOTKpDR/+Nt0Yp1QFYuXLlgAEDcnJyAKSkpCxbtix8T1ZSnRBCVFkS7MpVTIthD63a/Ml/Jv7hvJP8R/qiOq3Tbnl04cb1b93aOTmaFycqmfv1V8jLtfMliJWZCEtFK3O2I50pdyUKO1ZHiojYPpXadYi58hpS5fyLt1hnk9KynaQ6IYSoymQrNloKfvpo/ruLV65evXrN2i+/Pxj49U+zimvYpuMFF3bv3r1n/8FpZyZV1YAtW7HlhZkL/zWJ9+4xB+zgnaNj23yYGWT+LWDvB9u4LlQ2y2AC6ifG3jGR/Ef854YjM27cuKlTp5a8Py0tbd68eWYk8vfff//nP/95+vTpUgMrhBBVlgS7CuHmH/xl3y+/7D9UoOokJTdIPiGpXkxVzXK/IsGuvAQ3bnBnPceuZg1SYZMkvOIJFB2n82aJAUSh8RIMBnzKf/2fnNanle+1bd++vV27dvv374/4aHi2E0IIUcVVi3RR/TlxiQ2btmx7dvt2Z57avHGDapLqRHnhQMBdtgSuJoCUHSVGbIaKgZgp1KoYsG2JQwfsTKZjAkAtWpd7qgPQrFmzpUuXlra7unjx4vT0dLMnK4QQooqTgCFE1PFPP/Cu7RpgsPb2XjXgpTbTxaSo6IZgpsiCQSDb5gR+v3/oFeV7YW+//bbWGkBqauqiRYuSkyOf8szOzi4sLCzftxZCCBENEuyEiDr3s084EFBgAimAQIpIUWi+BGtAAeTNF9O2qqJor5YJqtWp1PCkcryqjIyMyy67bOTIkSbbdezYMeK6XWpqamZmZmmZTwghRJUiwU6IKGMObtmEoNZMtgkdM9is2BERQKRg6yUADWIyzwgVThCU4zj9y3PCRKgGdsaMGaFsV7LiVWpghRCiepFgJ0R0Bb/ehH37SEGZg3RERMQgBU0Am41YMAgaDCityeY9r98JAZx8gtMkpbwuqVhnk9KynaQ6IYSodiTYCRFF7jdbAjOf8golbMthDQDQrBhM5E2bYCiAGLY/HZPX7wQgcs49r7wuady4ceGpzpgxY8aoUaPCz9v16dMnKytLUp0QQlQvMiu2luDCA9u3fr1ly3e7clwADTsO69smrrIvqqYL/G+DfvlZsDc0jOzmqgKYNIGISdvxYUQEbZvbMYFAYK9qAjFxTvOW5XJJGzdufPjhhyM+9PzzzwN49tlnlVIdO3ZcsmRJubyjEEKIiiTBrqb7adWzszI3btny/e5ct+jeM+qnS7CLruC3W9yXp4elOmiQ8voPExRCY2LJLswpWwzrDY8lJhMGGzSg5i3K5arOPPPMuXPnDhs2rKCgoOSjzz//PDM/99xzqrzHWgghhKgY8p/vmm7XF0vWrPt2d56T2PT0Tr0uODWhsi+oVtB7dhc+9wR00OzBepMkoKFhBooxNGyTYnPGLrTrygT2+qBoZlKKTj+bYmOP85KWL19ubvTv3//111+PiYmJ+LQvvvgiOzv7ON9LCCFEZZFgV9M17THqjvumTX919stPPTDhz8POrlvZF1Tz6cOHCv79AOmgmfeqCGAyU2DNyAk2u6zMTNobPEFMzAQwK8CMD2OAiDg+wXdel+O8pIyMjF69et13333my8GDB8+dOze2RFg0nU3q169/nG8nhBCiskiwq+lObt/3wvatT0pwKvtCagkOBAof+icVFNgpYaG9V8VeRxMikDlUp6AIBA3FYEAzA9BgEwUVERE5Z5xNJzQ8nksK1cBOmDAhlO369+8/Z86c8GwnNbBCCFEDSLAToty4+fmFUycgL5fg1bsykSmHZYBJg0xJrDJxj6HBrGwIdGzVLDSgwAyw4zi9Lz6eSyrW2aS0bCepTgghagYJdkKUD52XF3j8fs4+DAaYHZjmJQBBEZgoVBTBYCZoe8DOmwwLZq8kVrFtY6eapFCDYw9bxVKdUTLbde3aVVKdEELUDFIVK0R50Drw0rO8ey+RKY0AbF0EA2R2V21xrDdQwhTDkml3wt4QMdgiCgBKOeqMM4952sQHH3wwefLkiA9NmDDBcZzx48cD6N+/f3p6ejnOtBBCCFGJZMVOiHJQuGwRf/sNwUtlZvHNmytRVPlqt2aJAGU2ZIkZprICAEKREAwdn+C0P/a+xBdccMHTTz9dWmK7++67Q+t2kuqEEKLGkBU7EcHSpUszMzMB5Ofnt2rV6vvvv6/sK6rSgocO6WVLQh3pyOtEbEIaM4jM5Fcv5xFr9rZhTS87YjBpYvMyArGjfKe1oWPaHl23bl379u0BjBo1qrCw8NZbb2Xmkk+bO3fu7bffHhcn/QyFEKLmkBU7EcF33323ZMmSJUuWrF69Ojk5WVZ0yqZfe5ECAdt8zkQ4b+2O4G3BEgGkbOAjMw6WYIolWDFcYgX7Mk1MsfFO+pBjuJiMjIyOHTvOmjXLfHnLLbdEXLcznU0k1QkhRA0jK3YigiZNmnTu3BlAQUHBqlWrIq73CEPv3sXfbWXTo8QLcmwHhUEzlNmGtatyMIftmOxTNFiBNLED7y4QQzn9BqrkBkd7MaFqiWuuuQbAiBEjAIwaNQrAjTfeGPrnKDWwQghRU0mwExGkp6enp6cD2LFjR5MmTSr7cqq0wIJ32NVg24RYMWuAQNoUuYYduwudZdNg09eEGYps7jNRDxrKgXNOe98F3Y/2SsJrYF3XLS3bSaoTQogaTIKdEMeO8/L0t1+ZTiUKrJjIfGH2VQFmZgrVS8DbECUCNNvnmD4nZgMXRGje0j/8uqO9kpKdTSJmu6effnrx4sWS6oQQoqaSM3ZCHLvgp2s5v5DBpjoCtjExwASGhgl6ANlBYdrWU5iRsaSJmb1YZwaKtWgZM+bPR3sZ8+fPL9mvDl62e/XVV82Xo0aN+uijjyTVCSFEDSbBTohjF1z7AVibOa/MpMEgZmIQ2EyGNRuyIG3mhYE1QGT6FocQFAGsWp8WP+Yvx1CqMmjQoLvuuiviQ67rXnXVVaFaCr/ff9QfUgghRPUhwU6IY+F+u6Xgvrtp9w5FxGbABLECMUiBmL2xr7buFayYQESkzGoeAGayEybAzKr1aTGjbjvay9i2bZu5MWXKlLFjx0a+VNd97LHHXNc91s8qhBCi2pBgJ8TR4YMHCl58NvDMvzn7EIPArBQY3jE6g0iZY3MgZjAzmBjQzAzSZryEtzRHADU8OeaGW472SjIyMs4+++xly5aZL6dNmxZx3S41NXXBggWO4xzTxxVCCFGdSPFEjbfnkzlLtuTbL/ZuzvbufPVQvL2z4blD+rZNqJSLq3bcH78PvjKT9++z5Q6hqRIghHqXQCsoZkCxZigiBpTpduKFOQYI7IIUMcfXjbvtTjrK4BWqlhg0aND8+fN79eoFYMqUKQCmTp0aeprUwAohRK0iwa7G2/PpnFffO1Dszr2fzn31U++LM+qkSbA7Enr3ruBL0/WhA8rkMjBRaJoEYNMbiJW3xQqHiAHHdD8hM2WMQUTEBFIExMTGjL2TYmKO6krCa2Bzc3NLy3aS6oQQoraRYFfjNew47Mr6+WU+Q1LdkSgoCLz8HA4dgOlgYkeHsTdJwh6oA+wAMSJiZiYGoJlsfWxoiY9JE6BUzI1jnaTko7qQkp1NIma7hQsXSqoTQojahmSogChDqEFxZmZmWlpaZV9OZQq897a7ajlrNotttm+JhneYruiMHYfGxJolOoJthsKkCK7X7g4EdcPN/lNPP6rLmDVr1lVXXRXxobp1677//vvdu9vOxjk5OXXq1Dm2DyuEEKKakuIJIX4bHz6kP/4QzAp6TIetAAAgAElEQVTQAGxmgzK/gMjMhzWTI4pSHdttWm02ZhVBmyU8YgajcdOjTXUALr/88mHDhkV8KDs7Oz09PVRLIalOCCFqIQl2Qvw2d+kiFBRob+cVzOaUHXuhDiAT4pQZFgYG201XYgUQ2/1ZkOlxB/i69Tqqa9i9ezcAv98/e/bs0rJdbm7uxIkTj/PDCiGEqL4k2AnxG5g5sO5zzWYTlpVpQ8cgJg3NdrQEALtcZ1uZ2PzG5g4FYrt/CyKwP061OYrluoyMjHbt2m3cuBFlZrvU1NQ5c+Yc38cVQghRjUmwE+I3FHzyIR0+BFv2YP9vRoU5UADIxjsmQJMdLabt+AkiIjN1QoHILN0B1Ohk1K13hBdgqiV27drVu3fvMrKd1MAKIYSQYCdEWdyvNvGbr5Iib53OjHXl0EgJk/a83VZzDyO06wr7HPNCbVbxHOU7pwOpI/rVF14DW0a2k1QnhBACEuyEKIP77TeBF55SgNZ2Hc7UT3iH6ACb1ezJOw2tAIRqZpldUw1rvgx1M66T6JzV7kguoGRnk4jZTlKdEEIIQ4KdEJHxwf2FLz3jau1qszhHXJTR7AQJDW2KYDUTCIoU21Rnc59DdrmOAGWP3ynfeV3pxJN+8wKefPLJYqnO2LVrV9++fb/66it42W7ZsmWS6oQQQkCCnRClKXzzPyov32GEpoeZJTcT5UzjEu/U3a82Xhl2dpgGNNuKCpeZwQyolq2cC3seyQUMHz68a9euER/asWPHRRddFFq3S0pKKpePLIQQorqTYCdEBO62re7XX9kqVgUQaXN4ziAoG+XIOz/H2hzAYzDb03YEIrAyk2JBBKjkBv7LrqSE3xj1kZ2dDSAxMXHhwoVdunSJ+Jxdu3bdcccd5fV5hRBC1AwS7IQojpmDM58yzYaJoACCOVpHYFYM5W21altRwQQotsUUDhGBtJlEQeQdxoObeGLs6Nt+cxM2IyPjvPPO27FjB4DExMRFixZFXLdLTU198cUXy/NjCyGEqP4k2AnxawUFeX8fxwUFYDs8wrQaZtOmjmxJrG1PZ8IbTE87ZhAzM0NrJtO6mKHN81q0Trgzg5IblP3mplpi8+bNvXv3DmW7hQsXFst2Ui0hhBAiIgl2QhRxA4UFD05SOTkEKJDW9hCdaVaivBpYMwDWzpoAAGKy9ygiECtFJg8yWCly+g+Lu2ksfL6y3z28BraMbCepTgghRGkk2AlhMXPw6Uf14QNQ2mXN0EqB2eylmtJXVlCabd8STWCCZjZLcqaznd2ctd1RWPn9Mbfd6e/Z5zffvWRnk4jZTlKdEEKIMvzGEoIQtUdwxTL3xx8UEdlqBzCgCMxgggI0gRhEZApdyT5EZkdWAQxSIGZoYgdERM5fxqsTGv7mWz/44IMRO5ts3ry5X79+WVlZJ510ksl2rus2aPAb+7lCCCFqLVmxEwIAOD8/sHCuMkURTERMMBWuAEiBtNmcJTbTI4hAzIqg7IasaVoMc1OZkWKnne47glQH4IorrmjdunXEhzZs2HDRRReF1u0k1QkhhCiDBDshAKDw/omkNZmCVuLQ9Agi1gCDla1+JQLY1FQQaZgzdwRAMymEHgN8Dl36h99830AgACAlJSUrK6tly5YRn7N58+a//e1v5fdZhRBC1FgS7IRA/syn3dxcRcxgEINNkQQTE7OpmSDtbbuGBoMxA+aXkKmhIHbDimWdHn39ycllv29GRkbfvn1zcnIAnHLKKStWrIi4bpeamvrYY4+V38cVQghRY0mwE7Vd4ef/5U3/YzBYmSJYIlK2h4k9QqdsXLM9iE2LE2WP4XnTJ9js1SoiTY2axqQPKvt9TbXEypUrBwwYYLJdSkrKsmXLimU7qZYQQghx5CTYiVrNzTnsvv4yAMVkRn6ZolaDzAwJIoBMUYV9BpsdVzsmzAydINPcBOwm1Iu9+S9lv294DWwZ2U5SnRBCiKMiwU7UXjovNzB5otKsiZVNcAyYxnVmWpjtY+L1GTaFEaZjnamZJQBU9MuItFJxd06gmJgy3rdkZ5OI2U5SnRBCiKMlwU7UVloH/zVZBwIMOCBmKIL2hk0oc2yOCcTKDBYjO0bMNet25A2GBWuztscghtN/mBNX1ijYSZMmRexssnLlymHDhuXl5QFISUlZunRpVlaWpDohhBBHRYKdqKUKXnzOPXxAkfYqXNmOivAmvQLMBIA0w8wTIzv9FWadzswZI7OGB2gCTmgQe0H3st938ODBpcW1xYsXp6enm3W75s2bS2cTIYQQR0uCnaiNgtu+1Zs3aAJDmRYnplTCzn41K3JMCjAreabdCbxSCcA817yGGCbfqZjfXVXG3DDTEy81NXXRokXJpRTMrly5cvz48eX/gYUQQtQOEuxEbVQ48wlodrzTcRq2+RyZ7nVkluRsQxOz76rN6pwpmDBbt2ANEDMRNKAuHqRanVraO2ZkZFx//fVaawAdO3ZcunRpxHW71NTUCRMmROETCyGEqBVkpJiodfLnv0UFhVBsZkaY03SmOZ13ds5jB4Ux2GQ9s2THCsSkAeWAtamw6NEntme/0t4xvFpi+vTpSilTGNG3b999+/aFnibVEkIIIY6TrNiJ2kXn5fHq5QAUlCqKcV6vEyZtnud9zSbsmd7FYDLN6uxLvC53A4fGDRxW2juGp7qZM2fecMMNZt2uWIyTVCeEEOL4SbATtUvhvx+AC7DWYM0I/Y8Ymtn0IjbrdrZQwhsFa5rYmYIJBbj2fvgu+b/YHn1Le7uSnU0iZjtJdUIIIcqFbMWKWsTd8jXv3asUu6xUUds6OyPM8TqY2KBnwhyR1mxKYdms2zGBoAiaQS1a+rv3LO3t7rnnnoidTWbOnElEzz33nNmTzcrKSklJkRpYIYQQx0+CnahFCv8zk0gziIjtgDAiEDRrhxTs0DBTIUG2lZ1dumO2vU6ITaQDcYw/duQtZbxdt27d4uLi8vPzSz40Y8YMZjbn7dq3bx+FzyqEEKI2kq1YUVsE/7eBcrO16WwCIgITE+BCK5Bmr0rCdCcm1gzXlsoSwfvLlMECGvDd8jfylzVhIj09/Y033ogpZQrFzJkzJ0+eHJWPKoQQoraSYCdqBWYufGU6Myv2Clm9ea8OE5HJeTBLcxo2xSmvlEKzOWAHzRw0TevO6+xv1CTie2VkZEyaNMncHjRo0Lx58+Li4ko+LTU1dcyYMdH5uEIIIWop2YoVtUL+s/8m11VEZgKYj6GJ2J6wC2t64vH6EitzpM4cxjP1sz6A4+vEDb084huFV0uYjnTp6elz5swZNmxY+J6sVEsIIYSIBlmxEzVfwZIF+pstADQYIEeRNm1KoIihwAwOQjMAaCYzS6yoNtY2NyEApIi1Q/6rrkWkTdjwVDdx4sTQup3JdqF1O0l1QgghokSCnajhAls2B5e87yjook1YVnYQGJjIZSKQYiJmAsHuzJoKWM2wK3sEZmZN5O8/1GndtuQblexsEjHbSaoTQggRPbIVK2oyNz8v8PzjDoNBilgRtFf6wKZIAjBN7RxFDLbRzpzAA4OVImjbn1gBjPShvh69S77RuHHjpk6dWvL+iRMnKqUyMjIApKenv/fee6mpqdLZRAghRJRIsBM1ViDncGDSOLCtlFCmtzAxA8SszEqcV+vKGqxMggOZXicMF2yao8D0RTmnY2zPPhHfq1WrVkTEzCUfuueee7TW5rxd794RQqEQQghRXmQrVtRMhT/+ELxvvOldoslsr7ImdpnsxioY3k0yy3JgZnYYGqZgFg5ssSwRc0xMzPBrSnu7kSNHPv7443agbAkTJ06cPn16dD6oEEIIUUSCnaiBgt9tDf77AdJsetYpKHtcDgRb5WqO2JEy5a7MihggBTJ9i+2oCQBQZoasunpUydx29913v/LKK+b2TTfdVFq2O/fccy+99NIofmAhhBACgGzFipon8PVXwemPKyKY5nME2I1XInuIDtrGO3ucDkQMVsyaAIYyY2GJNcE+rX5izGnFCyYyMjImT57sOI7W+qqrrgJw0003+f3+0aNHh+/JpqamZmZmyrk6IYQQFUCCnahRAus+d/8zA6Q1k4JtRAw7BAxMMMmO2Ax+hTJTxRgMaNhWdQomBJrudsxM/lv+UuyNQjWwrutee+21AEy2GzlyJIBQtpMaWCGEEBVJtmJFzaG3bS185XnYildT8UAaIJCCaVhSFPVMixNtKh4IikgxMbxCCUCRiYakTj7Jl/Sr9bZinU1Mtnv55ZfNlyNHjnzmmWeISFKdEEKICiYrdqKG0IWFhc8+rgDNmpiYoIg0M4E1M0gxWBFp1gqKvQU8ggaUmRFL5gEAYK/PHYjJ94drw98oYmcTk+2UUsOHDwcwcuTIevXq9evXT3ZghRBCVCQJdqKGCLzwDOsAESmQtiUR5nycrWYgkP2R7CYrgQGlAZAmJhCxaX0CBmtFSoN061NjGzcLf6PSSl9d1/3jH/8YOm93xRVXRPHTCiGEEJHIVqyoCYJ79/LWr5lNpQSUKYcgc57OJjhvMCyZxiZgBswsCiYQE7nsLdNpUuZLx4m77sZi7zV58uS//KX4kTvDrNu9++67UfyoQgghROkk2Ilqzy3MDz44Cab5MJvIZtIcaYBtxoNZZyM7MRaaoEFsRsEyEcOxFbAMBQ0igu/yq5U3E3bixIkrVqwwtx966KHSsl379u27desW9c8shBBCRCLBTlRvrHXgHxPArLWZA0bKdKAzFRLMYNZm+5VhGqCYE3WmZNZrZ2K+MKfxTFNiVm1P97U/17xLRkbGpEmTBgwYsHTpUnPPQw89NG7cuGIXI51NhBBCVC4JdqJ6K5z5hM7PMaUPBFYEgFx7iA4AKSIK9aoz266mETFgnuQ1Jba7tQpwGahT33/1aPMtQjWwubm5l1xySSjbTZ48OTzbSQ2sEEKISifBTlRj7g/fu19vVqQYmpmJlBkFZssbzFBYNufq7A6sOW7HDEebVToAZj+WTEUsgx2firlzovL5UKKzSWnZTlKdEEKIqkCCnajGCp96RAGaTbmDXXPTdmcVAMDQYM0ASEFpM0sCYLJDJgCtAZDSYK92QsXe/U8VGwtg3Lhx4anOyM3NHTx4cOi83eTJk6dNm5aVlSWpTgghRKWTYCeqq+zpj5EOaigAShHYDAyDstNfzbQwUmT7k2hmBVtOoUCKAIJiRSAwFIGIiOG77iaqUw+A67pfffVVxLfOyckZOHBgKNuNHTtWztUJIYSoCiTYiWopd87r6uuvoKFskvPa1RERWDGbribECCuUJVs+wea53tar3ZAlF5oGX+pre7p5C8dxZs+ePWzYsIgXYLLd2rVro/xBhRBCiKMgwU5UPzmvvYQPVxLMpDBmb6yrjXBEIGWqIYpmwRIYGoACK+VlQDbLfMzgILOv/7C47r0BTJkyxazV+f3+MrJd27Zt27RpU0GfWQghhDgCEuxENZM/90367CMFsv/2sh3qCsAhb6YE2NRCMIPATHYMhSIwK2Z2Gcymg7FpeYe468bE9ewLICMjY/z48RdddNHGjRtReraTziZCCCGqIAl2ojo5nLUIH64wh+YU7K6qZtbaW6sDAdCAC1I2zpmjdcwMbdb4CA6YyLxABRX5Mib7Tj8LYTWwu3bt6t27d2nZTmpghRBCVE0S7ES1kb9+nS/zXZgJYLYbMdlOwypUB6s14IAUa4AcIoZisANFRAx2oQFmImYwOKgRM/6f/vr1UaKzSWnZTlKdEEKIKkuCnagegjt/xqznCEQgDQYRiMCsAa9vHWkT4OxQWMWm1bCpkiBo1o5Z54Ni1gRSRM7g38XUr49SOpvs2rWrb9++4eft7rzzTulsIoQQosqSYCeqAV1YGHzkQQZpZg0o26eOicxSHTOgWSuG6/WwU14vYs2m/YlWpLyDdppMT+O6iXHdewDIy8tbtmxZxLfesWNHr169Qtlu6tSpcq5OCCFElSXBTlQDhS8+Aw4ArIiIbZsSYlsQa0ZGKFJsztVp29+EQWaT1qznKTbFsXZSrFYU++e7zPePj49ftGhRly5dIr67yXZbtmypkM8qhBBCHDsJdqKqcw8d5G++Nl1MCGYPlkxTOrsfa+8GgTWTaXVCBDbzKIjZTIA1TyACSDNibrhV1a376KOP7t69G0BiYmIZ2a5x48ay/SqEEKLqk2AnqrrCB+8lG9SgmZnN5qs2jzLY9LPTbLoTgxkuk/Z625kOxC5AZmWPQYAz4BL/qW0yMjLGjh170UUX7dixA16269q1a7ELkM4mQgghqgsJdqJKK3j7VRQEgiai2fNzZKa7MlEQ9gCdCyY7BRYM+IkVkWM3ZKFImWN5iggEndggtme/UA3s5s2be/fuHcp2CxcuDM92UgMrhBCiGpFgJ6ouPnAAH30AhsPMDAWCtrmOAQI7ADFpAjMT2GVmxSDWDADadkMBYKthXbAGx9/852KdTUrLdpLqhBBCVC8S7ETV9csjU4KAOSdHRGw6lLCyEyeYwEQExeSQ0oBj58aalTuEfrQ5EFCAGnjZ+PvvL9nZZPPmzf369Qudt1u4cOH1118vnU2EEEJULxLsRBVV8OlHcbnZBAazslusbI/MAQQCMQgEMIHBCuQSgcgBkfLGx2pbZsFmua5Fy/xzUl9//fWI77hhw4Y+ffqEst306dPlXJ0QQojqRYKdqIrcw4fd115WTIpBRBrkjXU1g19NRYQtpyAw2aFhHKqqIDB5nYvBxNBUp17CmL8mJycvX768devWEd93w4YNoVoKIYQQotqRYCeqHGbOn3w3iEiZFAcFaFsIQbB96MwYWNOrDgxAQ4GKhoV5pRREmgGOi3212Wl5eXkAUlJSli5d2qpVq4jvnpCQEBsbW3GfVgghhCg/EuxElZP7r38qV2sCWNkmJUy26BVsKyhAilibCRNMYJPqzKOmxR2DmYg0E/t8U3TCDTfckJ6enp2dDaB58+YR1+2ks4kQQohqTYKdqFoKfvpB7d3BDIcZYGizRmcHh2liMEODTEM7Iq1Ny2FmBaXMqAkmgrbre3D9/smqjqmWWLly5cCBA022S0lJWbZsWXi2kxpYIYQQ1Z0EO1G1BB99EFo5imDGSxBrglYgEIGUWbYj1sTMRDCjwrQ9Sme6ngDEUAQQFRJPpTrhNbClZTtJdUIIIWoACXaiCsl74//bu++Apq6+D+C/c8MKe6PgVtTiAPceddS9Rx+r1raOtnbZ8bZqHajVDmuXWmcrrVZt3bgF90KcYN2KW2QjM4TknvePm4QAYdWEYPh+/niekHu59yRS8uWM31lnRcQEUhFnRJxxzpi0qFWtWS/BGCMZESOBCcSJiHFOTOSMERcYIy4S42ppZh7nC5hT4comx44dGzx4sP58u6FDh6KyCQAAWAAEO6gouCiysxGcc66pb0KiSCLnAmNSoWGRkcBJ5FJnHjHigkicE3EuI1JLu1IwgXEmEBGx9MZBK1euNHivgwcPDhgwQMp2NWrU2LJlC+bVAQCABUCwg4oia+YnahJF4oyk2EaMcZm0aRhJO0qQyERiIicuEolcGqIlqRaKQKTm0slMJCJB5jG2uArDBw8e1K2lAAAAsAwIdlAhpP++QlCpGckEEoikfV2JMYGYIJIocsalSXYkEBEnLkoDr6KmVJ0oagoSc+KciYxxq7c/YIwVv8o1IyMjNze3PF8mAACASSHYgfkp7t6R3YgmzR5hnEhTa1gqQcy4ZstXaYUEI2krChI5FwTSFKwTpH0opK0ohM3Xb78+bYZarSai5s2bG+y3kzKfm5tbeb5SAAAAk7IydwOgslOnp4nLfmBcIEYCI5ETI82Gr2riUmBjnDgxkYgxkZMgMGkrCeKaSnWaKsUiI0ZcFPnrofuli69bt04mk0krXnv06JGUlCQ9jzWwAABgkdBjB+bEOVd8NU0kphZEgYmaVa5M2mqCyTRjrZwzzhgXiRNpOuk4Iy4yTkQkCtKkPMYYJzXxd/cfkS6+cePGMWPGSP12+kkOqQ4AACwVgh2YU8qc6YLIBCLGBRUXpPLDnDS16NScGCfGpX1gmcCYKA3RSnVPBBIY41yQhmylisSxadlrL1/VXX/jxo0TJkwQRZG0Y6/du3dHZRMAALBUGIoFs0nZvNE6K01bu4SIOGdMxhknUjOSkbTVKxc5k4mCyKSNYEkUSSZwUeqsY0yzfJYxxrlSFJus/KPAXUJCQojot99+EwShefPm4eHh5fsqAQAAyg967MA8UsP2yiNPyhiT5saRNMBKpCYiToJUzo60u4kJIiMuTaVj0u6xjATGBM4Zlzae4GriTdf8nSOKhe8VEhIyevRoaUwWAADAgiHYgRlkr1tjE7aLGBeIcSbIiBHjAiPiXMaIE4mcCYxZMRI4U3NR0ydHJBIJRIwR54yIa0reMZFzUr/98a9//mlra2vwjjdv3szMzCznlwkAAFDOEOygvCn+ChGizxMXRC4VKiHOiXEmbfAqci4Qlwmcc1JzImICZyRqpt0JRFItFBkjzpmaE2ecSBAdXZ3r1uvXr9/27dvt7OwK3FGaXefs7FzurxUAAKBcIdhBucrYuVWMOicSEwSpIh3n2lin1lQvYWpGRCSSqJl7J0irJbjAGdckOUaiVMGYSb12C0XNbNHevXtv27ZNP9thDSwAAFQeCHZQfpRPHlsfPyyVLZHWvzJigrb8MCNGjBNJi2CJMYExEjmXkUDEpG47gUmnEWckchI4caIfI8/PmTNnzpw50l30sx1SHQAAVCoIdlBORFFU/fQ1Z1wmI4G4QIwRY4y4SERM5KLUdyctd2VEAidRZMRI5MSZyDljTNqKQppXRwIjTpSjFr88cpqIgoODC2S7tm3bItUBAEClgnInUE6U33/FNHtFCMQ4lzZ71XwtbQtLIuckddwxLlWu4yJjAhEXiBEnzjkXmMA1le6IMe7z80rdLYKDgxljs2bNIqLevXv36tVL0xsIAABQOaDHDspDbkY6T0zgnDEmEBEn4tLEOamKHedSeWHGmJTqBGLEmEhqYqQWOWOciZw4yZhAxEWpBgrjM46fzc1fxGT27Nm6fjukOgAAqGwQ7KA8qL6apdkCVtfXxphIXE0ica4mkvrw1CJnxIkzNSfinHFB0E2pE4gxphI5IxIYE4gnZGUtOh1Z+F6hoaHZ2dnl+/oAAAAqBAQ7MLmcx48EnisVGybOpRp0IidGUv8cExhxzkSRM4GIM0YkI9LsG0tcxqQHpOaiwKQ6xlzNZXubtC3cJydVNpHL5eZ4oQAAAGaGOXZger/+kMvJipjASS1I1UtIxkhaJ8G5KDBpMYRmSwmpsB2TBmAZV3FNUWKBpOImnBGXzf1mklzOGHv77bc5l7oCsQYWAAAqO/TYgWmp4p4qcnM4cca5IOMyqZdOWgZBjDEmMEEzY06zcoLUulFbEhkxmTThjkt7wnIitqvmSzZyORFNnDhxxYoVUr8dUh0AAAB67MC0ckJWyNRMZsW4tuywwDRdcUTEpCFXYsQ5J0H6O0PgnIgERtIQrEgk5TmRi0R8f8yDUYuWKZxcxo4dS0QTJ04kouXLlx84cACpDgAAKjn02IFpsaR4KyvSLITlXOAC55wzzqQdX4kTkahZTkGcuEhc6pcTpb1gpU1hiUnl7hS5fNjm3Wq1+s033/zrr7+kW0ycODEiIgKpDgAAAMEOTCj94B61tKUEZ9ImE5yTwKSURiJnImeMuKDpkxMZEeMkcl0tFNKN3BIjkbjXT8ulK6vV6nHjxq1du1b60tra2kwvEQAAoAJBsANT4SoV27/HSrMVGImc1MQ1y1oFrslsTBRJWtnKODESGTEmEAnEBGLSYCxxRpxxUaz2y2qud321Wr148WJ1/jp2AAAAlRnm2IGpZK9YIiPN/hFqzokJgrSilXOBmLSRGJEgEIlEIueMcVEg4kwgxkkUGROIC5ypiauJuSz6lee/flBQ0N69e2UymVleHQAAQAWEHjswCTE3lz24Q6JUYZhkjMm4tmuOGGfShhOMcU2NYoExgQvEGWMkTbNjxDgX1IyIM4dvfpo6bZr+9bEGFgAAoDD02IFJKDatJ05MRkSkTXREnDPGOCNBO4OOiAlc2h2Wq4nJGIkk9eeJxDkjJuPM9rtfiLEFCxYQ0ddff01IdQAAAEVAsAOT4FFnmWZfCCbVMpGmzEnLXQXSG1bVViSWaY4TEQlcmn/Hf7wY3frw4W7duhGRlO327t2LVAcAAGAQhmLB+LJv3RC06Y0TFzlx0tU2kX7mGOfENUmOE2eaeCcy7QpZqV4xm3bw2MCBA48ePSpdecGCBSdOnECqAwAAMAjBDoyPhSxjXJokx6W+N4FJA65EnGu2gZUWxeotfJW2C9PsQsHUxOhyXAIRZWZm9u3b99ChQ9LFHRwczPjSAAAAKjIEOzAyda6Sq1TESNRsAcYZaTcLEzXpjjhnjIhrpt8JjHEp5DGmjX0ygdhbe8Oka2ZlZQUHB5vvNQEAALwYEOzAyFT/rBNItwBWmmKnnT3HpDFZKdppwh7T7SlGxDhXi8Q558RzVPxqQrJ0zaCgoG3btpnl5QAAALxAsHgCjIzfuMo1aY5xaQ8JkpbBMiLOOJOm2kmjsKI08qr5Ti4Sk2kWVogzj56SnsYaWAAAgFJCsKs0uCL++sXL9+JSMsnBzadWk2YNve1Yyd9W9vsocwVt/xwRE4h0tU2kTWBJM+xKRMSYJvkxkgqhSEdJyemX85cIqQ4AAKAsEOwqA/7s6o5fF6+PeKzIqzLCbH3bjvpw8pAAF2OmOzEnh3FRM6dO6nljXNtZpwltnDGpIy9vVh0XSZMFOWNc5GQ96aNRj1KuXbuGVAcAAFB6CHaWL/Py6umzdj5UE7Pzbda+RW1XSo05fyrqyZPTITMeJc75blITIy4zzczgxIkxLhIJxIikbcSYptOO5xUrJhJFLi2OFRgTSbOsgjgjJtjVq//HH39kZma6uroar0MtivkAACAASURBVHEAAAAWDsHO0ikurFq486GamE/XqQs+aucl7aw6/rWTP3/53eG4h7sWrm6+8qOWdka6G1coNMOp2s0lpDUR0rw5zVCsdisKJoU5TlJ3nshJYMSJ3+s/LIDI2toaqQ4AAKBMsCrWwsXu+etwKhG593r/PW2qIyLBu8N77/fyJKLUQ3/tiTXa7ZgikzGBaevVSaOreZ1xpHmOONPtPcE1k+6YII3Divz/vvnWaA0CAACoTBDsLNvT48ducSKq1rN/oG3+QzaB/Xr6ERG/c+zEY2PdT1QouHatBGNSdRPtCKym5omm146IiDHOpPonImnCHlt9++Gff/5prPYAAABUKgh2Fi3tUlQMEZFbYGCNwkdrBga5ERHFXLqUbqQbClyT57imNLH+NrGcpGFZaRNZqRQxZ0xaaMG5QIxzPvann7FaAgAA4L9BsLNoD+7fJyKimrVqGjpcq6YU9x48eGCkG6qfpZJUrU76mmlzntSLJz2WvuSaeXaaDWWlRbQ2Nu7VDURQAAAAKA0EO0umiI9PIyKy9fR0MnTc3tNLTkT0LD4uxzh3ZCoVMSYwQVoRwbnUY8c18U27NlZaKKvptCPtHDzOBbk9yWTF3QAAAACKhlWxliw7O5uIiORyueET5HI5UbbmRL05eCdPnjx69CgRZWVl1axZ89GjR6W9pVpNgkBEjHMuipqlElL3HSdtvGOaHjumLXCnmZQnkLU151xXvhgAAADKBMHOkilzlEREZGVdxL+ztbW1dKJSme/5GzdubN26VXrs6en5+HGpV1fIBLKy5rm50jYSXBRJuzpW00GnC3m6B0TEGJPJiDPm6IxUBwAA8J8h2FkyG1sbIiJS5aoMn5CbmyudaGOT73lfX9/WrVsTUU5OzvHjx7U7vpaCgyOzseHESakkmRUjNRfVusomTDv2yjX1UBgRZwIjmRVxzq0E5upWxpcIAAAAeRDsLJl2CFY7JFtIUWO1vXv37t27NxHFxsb6+vqW/o7MqwrZ2qY+S7NR5drb2jArGeMyrlJxUc1Ilw819YpF4oK1NTGBRLVoYyvIZMzTs2yvEAAAAPRg8YQls/P2diYiyklMNFjPJCsxIZuIyMXbx9bQ8bKT+VW7k5ikyMh4kPosK0dJajUxYjY2ZGOTI4o5arVSLeao1QqVOlstCrZ2jDESRbKxlcnlZCdnteoapx0AAACVEoKdRatRUypzcv/efUOH72qerlHDWCVGZsyevTz8SK5apeJiTEpKmiKHiyKpVYzIxk6u4qRQq5RqkTMmt7NlajVxIrmc3D1IqSQvH1nd+kZqCAAAQGWEYGfRnIMC6xARpURFGahUdz86KpWIqE5QkMFqKGU1Y8aM+fPn/3n52s2UZ1729pnK3BuJSXEZWVxmxYgELjrY2dpZWdlZWcltbRhjZGPDXN2YhyfLyuJye+s27RlqnQAAADwHBDvLVqVjZ39GRI/CdkUVKFWnjNod9piIWN3OHf2e/07z5s2bP38+EaXm5Pxw5sLj9IwaLs4qUbwZn3AzOYW7upOjE7N3sHZ0snJ2Zs6uzMOLefuQszNPzyDiVo2aCA0bPX8zAAAAKjMEOwvn23f0y65ElLx/6dJTCWrt02L8qaVL9icSkWu30X2rGuFGAwYM0G0Fduj+w2UXop9mZNZycXK1s41PSo6+fUd0cWVe3rIqvjKfKszNjeztucgpKYmRKNR/ifXoSyh0AgAA8HxYGSpZwIsp8/Kqz2ftfKgmJvcNateijiulxJw/FfVEwUlWvd/c795u4lDk9+pWxR44cKBnz54GzxFFURAEIrpw4ULPnj2Tk5Ol53vWrv5Jq+b13F0Fxp7lKO3d3WvXrk2MkSjy3FxSZHO1ijk4yZoEyrr2ZDIs0AYAAHheCHaVAX92dfuvv2w4/USh96Stb7v/fTh5aIBLcf1kJQa7GTNm3LlzZ926dTKZjIguXbrUo0ePpKQk6ai3vf24pg171KpR28OjWhUfTf8wE0gmMHsH5lddaN1eVt3gPrYAAABQZugmqQyYS8CQacv6xF+7GH0vLjWL7F19ajVp9pKP3XOOfUqrJaTHUrYLCgoKDw/XZbv4rKyFERciVELo/31po8jkGZmkVpO9PXNxZbXqMBdX7DMBAABgRAh2lQaz8w5o1yPAaNfTT3UbN26kIrJdUFDQtn37XLXT7wAAAMB0sHgC/gv9VCfZuHHjmDFj1Go1EUnZzsPDQ/fATM0EAACoXNBjB2U2c+bMAqlOsnHjRjs7u99++00QhKCgoMOHD/v5+bm7u5d/CwEAAConBDsosw4dOtjZ2SkUisKHQkJCFAqFNCbbpEmT8m8bAABAZYahWCiz3r17b9682dbW8P6yGzduXLBgQTk3CQAAAAjBDkpvxowZc+bMkR7369dv+/btdnZ2hU8LCgqaPHly+TYNAAAAiDAUC6UUEhKyfv166fHs2bOJqHfv3tu2bRsyZIj+mCxWSwAAAJgRChRDcXQFivXNmTNn1qxZ0uPdu3cPGzYsJyeHiJo3bx4WFobVEgAAAOaCoVgos9mzZxcekw0KCjpw4ABSHQAAgBmhxw6KY7DHTqLfb3f48OHAwECkOgAAAPNCsIPiFBPsiCg4OFiabwcAAAAVAYZi4b8LDg5euXKluVsBAAAAGgh2UCqMscJPNm/efPjw4eXfGAAAADAIwQ5KZcqUKYKQ76cFqyUAAAAqGgQ7KJU+ffqsWLFCl+1Qrw4AAKACQoFiKK0JEyYQ0dtvv920aVOkOgAAgAoIwQ7KYMKECU5OTj179sQILAAAQAWEoVgolbCwMOnBq6++ilQHAABQMSHYQaksWrQoNDTU3K0AAACA4qBAMRRHV6BYEARnZ2eDRU8AAACMJSQkZODAgeZuxQsMc+ygOO7u7mFhYX369FGpVKmpqc9zKZlMVqdOHSJ6/PhxVlaWkRoIJWCM1atXj4iePn2anp5u7uZUIv7+/kQUHx//7Nkzc7elEqlTp45MJktMTExJSTF3WyqRWrVqWVtbJycnJyUlPf/VlErl81+kMkOPHZRs0aJFKpXqOS+Sk5MjDeZ26tSpSpUqxmgXlEwUxS1bthBR27Ztq1evbu7mVCJbtmwRRbFly5a1a9c2d1sqkdDQ0JycnMDAwPr165u7LZXInj17MjMzGzVqFBAQ8PxXGzx4cIMGDZ7/OpUWeuygZJ9++unzXyQ5OVkKdiNHjmzXrt3zXxBKQ6lUSsFu0KBBPXv2NHdzKpHt27eLoti7d+/Bgwebuy2VSFhYWE5OTrdu3UaPHm3utlQip06dyszM7NChw6RJk8zdFsDiCQAAAABLgR47KCeCIPj5+RGRnZ2dudtSuUhvu729vbkbUrn4+vqqVCoHBwdzN6RyqVq1qoODg5OTk7kbUrn4+PgQEd72CgJz7AAAAAAsBIZiAQAAACwEgh0AAACAhcAcOygXypRbUVF3YpMy1HYuXtUCmjXxc8AfFabGlamP7ty8deteXKaaiLxaDOlRH/MbTUuV9uj2nccJyckpKRlKK7mLV416AQ1ru9mYu12WTp359M6tB3HJSSnJ6UqZ3Mm9aq0GL/lXwW+ZcsTjz+04eCubiMi6btfhrauau0GVF4IdmFpWzP7VP4ccvJupN5vT2rPZkMkfjGrpKTNfuyzY4+Mr1x24euvW/fgsdd6zLzn3RrAzmfTov5f/c+Ly9QepygLTlgXHGu0GjZ84vJk7ftpNIPb4ytU7Iv+9HZ8tFjhi7d7w5Vcnjuvjjxn95SF+3+Lvfo9SEBGRfc8GCHZmhGAHJqW8/Xfw9L+uK4hsvBq1bd3Ayyr9waWIc/cTL/4z74u4z7//pIMbdikzurhL4SejFMRsXPz8/eu7p545dRtbfZhYxs1Tx6PvExGzcavZqEmDal7Otsrke9FnL9xPe3Dyr9lXb7z39Ze9fJHtjC3+8tGzNzNs3WoE1Pbz9nR3d7bNSU2MvX3p0r205OsHlk298mDGd283Q7YzsYT9i0OiFIxhPWZFgGAHJqS+teH79dcVRK4t310wtU81aUCKvx61etacnXcTjv68pFmjmd1czdxKy+PXedLnnWvX96/lbS8juvH7BAS78iBza/zK8GEDezT3k+f9tZJ9b/ei4BWRySnnVvwY2njhED8zNtAiVe0yed6Apo2rO+XPzMr4yLULvtsRo3y8+5f1nX57OwCDsiaUuH/JmqhsVq1vL7c9+y6buzWAH3YwnfTD63c+4UT2bSZ+rE11RMRcAt/6ZGgNRqQ4u37rTfx9Z3Q+gT06Btb1tkf3UPlxbjV5yYoF7w5ooZ/qiEheq99nH3ZzISLVjb1hMWZqnQXzbtQhsGCqIyIb79ZvTe5XhYgo6Uzk7fJvVyWSGP7rmotZzKfve6MaWJu7MUAIdmBC6RFHLymJyK1L/w4FRkJkNfv2acSIKP748RtIdvDic6jZwK+ICYx2zdo1syMienrnDnpOyw+rWbMGERFlZWWbuSmWLPnQ0tXnssjjlXfHNrI1d2OAiBDswHTUly/9qyYi68aBBoZB3AMDqxMRJV26+LC8WwZQrpi1tfRfQK5SaeamVCpPYmOJiKh6dQyAm0rKoV9Xn88i1y6TxjXH3jYVBYIdmMrj+w/URES+tWoa6p73q1XTiojo8YMHagOHASzGoxs3s4iI5FWquJi7LZWF+tmVv1fsfEhErl2Hd/c0d3MsVMqRZasjM8ipzcQJ7RzN3RjQweIJMJX4+DgiIvLy9DJ0mHl6eRDFkSo+PpnI4CkAFiDrwrZ994mIHFq3aYw14KaSeXV/aFQyEc/NTE2Ovxd9/npiLrOr/vKkqZPboCvJJFKPL1sVkUHyFm++3Ql/sVQkCHZgIjw7O4eISJDLDVdnlcvlRESUnY0JMGCxMi7+9mt4ChHJ6o14tS3mIJlM5tX9GzboL5Kw8e08/tN3evk7YlzKJJ4dW74iIp1sG499Fz2iFQyCHZhIbo5UqNXKqogfMmtraYRWmYN5R2CZxKd7F34fFs+JbAPGfTy4GvrrTMchoNeoUa2IRJUiPfHB9YuXYp4cW/Zp5P6+n82Y1NoT4c7Inp1csfJUGlnXH/1eP2/8XFcwCHZgIta2NoyIk0qlMnxCbm4uERHZ2GK/JbBEzyKXBq+4mE7EvLtO+XxQdYQLU3II6DUqIO9LVcK5td8s3HYrZs/8qeK8xZObys3XNMuTdnr58hNpJKsz4r2Bfoh1FQ5+1YCJMLnclohIzM423COnHYLVDskCWJDMy7/P+i7siUjk1mryvI86uOPjr1xZebV8c9Y7reVEPH7/+vAEc7fHkmScXrns5DMSqg96f3htZIgKCD12YCre3j5E94kSEhOICpcb4IkJSUREVt7e7uXeNgBTUtzYEDxv+10lkVPg+Llf9KqKUtHm4NLx5aDFkadV/PrlK6oBXfFpZyR3zp1LJWLeVenspg1n9Y/kxjyR/v/OkQ0bbhCRT6uh3ephZml5w486mIpfzRoyuq+mJ/fu55JfoYonj+7dUxER+dWogU89sCDKmG3zgjfcUBDZB4yZ++WgmphqYC7Wrq4ORM9IzMpWEKEeh1Hxp5FbN0QaPpYbc2RDDBFRoGs/BLvyh2AHpiJrEtRYdjxKnftv1FWxfWCBHvvk6KhHREQeQc2qm6N1AKagerhnwaw1lzOJ7PxHzpk1sm4Ru1FAeVAkJGYQEVm5ujqYuy0WxKfN8FGeuYaO5MYc3nzmKZF1na7D21QlIh9/pDozQLADk3Fq2yVoRdR5ZcrRXSfHBHbS31VMfX/P3iuciLw7dWqAyUdgGdRPDy2cseJCGpFtncGz54xpgPppZhV/MCxKTUSscZMA/JYxniqth49qbfCI4uANKdjV7TpqVPNybhboYOIjmI7Ty68NqMqIss6s+nHvI90SCv4s6vcftj7gRHatXhtaH79xwRLwxJM/z/jldAonmxr9Zsx9qxFG/srBs5sR5+8+K9x7xLPvH/plzu+XlUTk0WNYF9TPhUoEPXZgQjL/Uf/32pXpf11PPbdsyrvH2rVu4Gmd8eDi6XP30zkxr84fvf+yq7nbaJESzm0Lv6XQfJF4PUP75IY07Qpkr+aDeqBDyYgebJn7/ZF4kYic/Rs5Xd294aqBk+QNew5uhmKuRpQU+fucf+Lk3v71a3m7u7m6OdsLqszkx7f/jb4Zr+BEZN9w7LQJgRgQh8oEwQ5Myqbeq8HfuK7+ac3BewlXju6+onnayjNo6OQPR7V0Q3edSSSc37Zhd2qBJxPPb99wXvvFSw49EeyMKSU+XrPncdqVvRuvGD7JY3BzBDujcmvYoXX945dv3YyKv1ngkLV7/Q79x7w+JMgTq7OgcmGcc3O3ASoBZfLNS1F3YpMz1bYuXtUDmjfxc8A0ANPJ12NnEHrsjOzp2c2HbxucUK4HPXamoU5/fOvWg/jklOTUDJVgZ+/s4VfL37+Otz1+yZQvVcyRTWdiiazrdh3euqq5W1N5IdgBAAAAWAj8QQMAAABgIRDsAAAAACwEgh0AAACAhUCwAwAAALAQCHYAAAAAFgLBDgAAAMBCINgBAAAAWAgEOwAAAAALgWAHAGA2u95wZBq9QzLK446pq3tr72j3xq7yuCMAlCcEO4Bycvubluw/6brkqbnbDlDZ7BpjV+R/kjIbBzdvv9oBbfq89v6spTsuJ6vN3VqAPAh2AAAAZSDmZqUmPLl3LXLfhqXz3h/c1K9mt4833so2d7MAiAjBDgAs0r3v22q7VzzfP2Lu1oBlUzw+/NOooNYfHEgyd0sAEOwAzMLvo+O81I68X8Xc7QWozLqvSsn3n6Q6Jy3x3qWwP+eNae6h+xDN+nfJ8IGLrovmbCgAIdgBAACUiWDj5FEzsMfYGWsjo3a808ha+3z6qeCp6xPM2TIABDsAAID/SObXf8nWOa2stF9n7Fjyx0NzNggAwQ4AAOA/k9X/8P+GynVfngsLTzVjawAQ7AAgP2XchS2LPhjSqVnDmt5OdnLXKrUbtRv43tfrTj9WluUyqvhLO1fOe29Yl2YNa/t6ONraOnr41Qlo13/CrGWhV1LKNBEp486R9T9OG9+/Q9P6Nau6O9ja2Lv61AjoMOitqb9sj05Ule3llWvjedLlHb/836iugfX8PBxs7d2r+Tdt2+fNuX8eu5/FTdBsExBT/t29au7koZ0C69fwcZXb2Dl7VavXuG3/8V8u2XIurizvvfLRqbVfvzeofaPaVV3ldo5eNRo06zjovYWbzsWV6eeqInJ4+eXWui/U16/fMmNbAIhKP4MbAJ7Hra9b6P67K9PiiXzEhyEDPHXXqTZ6a0Kxp6cf+6SBbpjIod2iq7n5Du8d76A92GVxLOdpkb8Mq2tXxC8Lx5dG/3w6uRRtzLi2afrA+g5FXIaIBPdmbywuzaWU9/Z9O6aFp6yYX2E2fi9/9PuFJLXmO67Na1Tyrz0iImrw5WWTNj7r+voP2nsW8bezrEqXGfufiJzvHKe7Va816aV4c59byqpe2jvajttZzInqJ4e/Hx3oxop+Kxz8B84KvZNT8j0TT/7wv4ZFvae2tQd9fyqV8/Q1/UrXsPKxc7StrokFF08UEvpa3snyN3eXTwsBDEOwAygnxgl2nPPk/eNr6fKCS6/ld9RFnRm/fZSf7p4eg/58WPCEfMEuJnJum2ICjfShFfTJwaTiGqd+tOujIMcSrkJERHaN3t72qMimcy7GH5zV2aOYWKGn0WxtSHuuYGe8xmdF/9Dds4RrWNWZsDOuogY7xdXVw2sUF6i1mGf3byKeFXfDxP0fNi3qjwXd+xn0xfHYFzjY7RhlozvZ/q095dNCAMMwFAvwonF7ZcmmL5tqPkie7Z8yYv7FHAOniXeXjX5jw2PpC1Z7wrqQsdWKuWrGoc9GzDqTSWRdrduUxTsi7zx9plCkxd09v2v5Z31qaT+2si/9MGDY4ttFjSMm73u346CfL2m2xmIuAUOnLdt26vrjpIycnIzE+5cO/D5jmLY3THFlxcj+weeLGIfLOP5/L/eeeyyJay/VePjUJZuOX7kfl5qtVKQlPLp+eueabz8c3MTDyvAFys54jU/eOuGVTw4mar4SvDu+s2jTqZuxKdk5GQn3ow6snjGsgT2RKmb1mNdDHhur+caUsH189wmbH2j3U3ANGv3Vn4f+fZiYmZOd/OTGib+/n9DOS/PhwRMPTn1l+PKYIn4k+K2fhgz+JVqh+dK2bv/PV+y5cC8uXaFIi7t7Yc/KaQPqyokUl74d8f6uFFO/LlNJeKw3T8HTs6RID2Ba5k6WAJWF0XrsOOdcfXNJd2ft1YS67xxMLXBCzvnglroeB5vA6WezDV1Gr8dO4tJx7pmCl+Kcp1/4vqe77iSHLr/GiAau9mhd/7yPNLcO08OeGurTUtwIGarrC5I1mHZGWfic2E2v+uiuxLx7fXMyqajuMcXD8B/Gjfn5aoGn7y5so/1+j/cOF/G9pml8cujreY23b/bFoYTCb1b2jd8H+xbojawwPXax6wfm/WNbN5y07VFuoXPUCeH/1yJvxYC87Q/XDb1fd5d2zvsJ8+q7+HJm4XOyri7tX6BS4wvWY5f+94i8t0L2yu8ldO8BmBaCHUA50Q92ZdDi67uGrxf3z6tVdWf5DP3rid6x1IPv1dV1xzt3XXJTZfgaBYJd1TG7ivxMSg97p2beie+EF/qsV+yboPt4lr300eG0ot8KxblZTbS1vxwGrS14T+XJD/JuZd950VUD6akkZQx2xms8vz2/mS6xuQ5ZF1vkdc7PaJRvrLOCBDvx7Bf+ujY59Vx2v+iR/g3D8rKwx+uhWQVPUB1+L28qQN0PjxY6QSv79Mf19WPuCxXsVDcWtNLrNm793YPyaySAAQh2AOXE2MGO87SjH9TXRQPHLj9e08S3J38Pzesy8hn5T5HZIn+ws+29+mlxLyBp/UDd/DPH4ZsLpJDYld10H4S+E8KL/AyXZO96w0tzstD+l/xz/xL+GKDr/7Dp+OM9Q52DJSpbsDNe48XIz2tpryRr+/294q6TtW9CXjSvKMFOsXecrruOBX19o9h3/9GyLrq5ZTY9VsfnP5q1Y5SL9qjzsE0GeoLzpG19zSXvrXhxgp3q8U69AsVEjgP/jC/iVIBygjl2AC8sp87fb57fWhOCMo5+PmJmRBapb/00asLWOOlJof7761ePKN2OZPb9x//Pp7gT3IdNGOqmeZxxYO+JfFU/kkI3HdbO9AuY8GF3ORXLru/rIzS9PWLkoaOZeocUB7Yf0G6n7jLi04k1S7d+4nkYr/F0be/ee5qHVj3Gv16TiiF/ZcLoGv+huSZ1dt/+ZM1Dq64T36pf7LvvN+adAdo/DZTH9h9W5Dt65kDYM81D96FvDnShYjgNeHP4izM1TVRmJD2IDl83f2zrwEHLr+Rqn3doO/Pr0V7FfSeA6SHYAZhBGebYnZtaq+jr2DT5/J+l/TU9LLn/fvPqxK+mjPj8aLr0hLxV8KZF3ZxK2aZ2PXqUsCbWpluPTtpfGWkREVf1DqmOHzutnT5frW/fJiXejbVtp+1SU0VEnMs7wE8dOaYNWTbdB/UpaZ2uERiv8ZQREXFF+ziwR48SPuNZ657di4075S/m1Kmn2sdBvXp5l3C6Y69eHbSPlSdPntU/dufMGe36EdaxW1cbKpZVp5c7Gm0djLEdnOjG9MlsnTxrBvYcO2PdhUTd3zfyl97ZFPp5AD5UwdzwMwjwQmM13/zjzzc1vVr8wfqZS6I0/Qduryz+R7d4tmTVmzZ1Lekch6ZN62gf37x5U+/InaioDO3jRo1KU3FEXrWq9n5PHz3Kq3SbcP16kvZx09atbQt+nwkYr/F059Yt7Qe9c9OmtUq6DgsMLDlGlqvbt29rHzoFBdUp7lQiInILCtJ1Oj65fTtb75DepWo3blxiQLdt0sS/pHN0xMzYq2eOHTly5MiRIxceGVoUblBu2pPbl8+ePnPpxoPkUn9TKdj6dnr/zwvnlvVBbx1UABX2LyQAKCX3fkv/+fxcp28v6xff8Hs9ZJ1eubuSeXmV4kPJ09OTSPq4zk1NzSKy1xxIStKlMQqb5Gn3DhHnvKT/0UpJSSXyLHwlH59ix4aNxXiNp5QUXckOz1K/oc8lcUlXrw+OFnNCrzXp+94oVXE+IuIpKdrRU/L08irFKLi3tzfRA+lxSkoKkXYcm6ekpOkuVZqX6eHhUezx7Nvhf+88duH8hfMXzkfdeJqpTdBtfnwYMaW4Sj5ExFPOrZox46cNB6+laGI4c6zdcdg7s77+pEfVsn8MMmu5k7OLm2f1BkEtW3foOXzUgEBPfJhCRYGfRYAXn7x18IJRKwb8oduj0nf86mUDy9Z7YG9vX/JJDg55HS/p6el5wS41NW9/TDE3p4y9IZmZmbpslJamiwMyR8eSCtsahfEaTxkZur6/Ur2hMgcHWyJjdh49n8z0dN3Qov4/dtEK/UjoLpWRobtUqd4LR8fi4+fjjZ+9OTOqFE0qSH17zcguE7c+Ues/yTPuHv/ji1dCd34Vtn96ixKa131VSviEEju0ASoGDMUCvPgyT3/5xXr9ncef7FmzL75s18jKyirFjTLzVgo4OenN3ivVJ3eR9HvAnJ119fnUGRkKg+cbmfEarx9OSvWGqjMzK06qIyIHJyfdh4L+P3bRiv6RcHTUdfiV+YerJIJDFf/qpZuemH3iiz6TtKmOOfi+1LJt6yY1XaTl5DzlxJf93tqcVNwFAF4wCHYAL7qk0Hdf/eFqbr7nYv9567WlMaXfrZ4oISGh5JMSE7XT4cna1VUvDumNtblPOlTW1fn6C0Tc3fOK48bFxZXhFfxnxms8ublp1w1TYhnf0P/a+PePFN++0o/DEhFzc9PFpVK9AIqPz/sLQu/VEwl6l9If7C5SSe+FvX/PcVPm/Lx254krT9LSYiOntyxF8/itnz7++baKiMi5xQebrj99dPXs6TPR6nvlkwAADDJJREFU9+Luh81/xYcREcX9/dm84xUqXgM8FwQ7gBcav7d67BtrH0pfsFq9++v2Gjv46Yi550v/efUwOjq1pHMyo6NjtI/r16+vd6R2/fraYl7J166VsbMwH++AAF3Mio6MLI8PXOM1nur6++vWDUdH3yvpdB4Vdfl5bmd89erV0z5Mj4qKKe5UIiJKjYp6oH3s5++vXyimbt262od3L18usTdO+e+/t4o9wffVhSE/zvpwTP8OAVUdSvnRxSOW/3pORUTkOXT1nl+G19f2Itr69Zi+fevHDRgR0f3flu4sl75hgPKAYAfwAlNGfzPyw72a+fo2Tb78e+v2zYu6aMbDci7MG/lJ+LOivzu/iPDwEj58lYfCj2s7AZ3atg3QO+TQvbuuIPDpPXueY9NP1q5rZ+1SWOXBHXtLPzyX/zKs9OXvjNd4cmzbVreqNio8vIQuL342/FCp/33KR5327XVlDy8eOFBSn13m/v0ntY9t2rfP14dWr00b7WoI8cTho/m7lAtRHT98QlX8Kf9B5Natj4iIqMkH80YUrN0ibz99Wi9bIqKM3VsPoM8OLAWCHcALK/3YpyNmntVUmHDsunBTcGu5zP/9DatHaj7CxJhfR7/5d2zprpa567eNxY58pmxZvVUbehx79emY77eH38AhrTS7YKj2/7z4allGgfOz6zW0j3aQ99mmRaseFLG9fAlXsdOtu1AqlcWdScZsPL3Up4+2KLEq/Lc/7xd3riJs9bpiTzCHVr17aeOY6vDqkDvFvvuxf63YqV0tYtOl98v517q0faWndr5k8taQnelUjIxdazaXZuS3bBIiI+8REZH/4MEBBo57DBgsVWbMiIy8ZvS7A5gHgh3ACyp+86RRS25qVvr5DF25/sMGUjipOnLV+snaEcH4bRNH/XRLXcQ18snZN/Oz3UUOx2YcnD49VPshXnXMO4MKzNyq/fbM0Zo8qbr07VtfnSvFdHnD3F/9YqI2HClPzHj9x2sldPYY4uKqW8SYER9fUluM13jWauJE7V6x6oj5H//1tKgzcy7M//T3UobucmTb64MJ2npy4vn5H/7+pMhol7Rpykzdjh0e//tgVIF12PJ+E0f7ah4/2zx11okihztzzgZP3VDiTICyu3pVqqJt06JFY4MnuDdvXouIiO5evZpt8AyAF09ZJwoDwH+jv1dsGXaeMEx9a6muN4SEOm+HF9iIU3EpuIWu+8Q6cHpEtsHL5NsrlojIpdPcyGeFz8u4+EPPvDUN9p2XxhjaQvT+H33zKpF5dPx8x72cYl+E4snptbNefXla4dn/TzePytsHjXn3+u5UUlFb0Ssehv/4xtifrxZ8Xm9Ng/fE/cpiG2LcxifvGJtXfs+++ReHEwu/Wdk31wzxKzBYXDH2iuWcx64fmPdW2DZ5f3esqtA5YuLhqa3yVs/I2/5w3cC/kHhncce8aXfeA5ZdMbANb/b1FYOq5n8vSrNXbMqy7tLJbX58WMQpqr+HSKfUm3qpiFPif+0mndL+hwf5j5Rur1iAigfBDqCcGDHYKc4HB+k+dWyDgs8biG3qmBU9dJ1WrOaEvUkGLqQX7FoMHiJtIWBdrfuUJaHnYuLSFDnp8fcu7F7xWZ/aehtY2Hf55VZRO8OnHp7SUG9HdLtqHcbNXr7lSPS9uJSMHJUy61li7N1/T+1Z/+tXH47oUNNRICJyGR9m4EoZRz8J0CuzyVybjJi2dPPJaw8T0hS5OemJj25E7Ar59qPBTTysiKjR7MsFL6Dc/6YunVjXG/l96LmYhIycouKhcRuftOU1vf15Zd6d3v1hS8Stp6mKnMzEB9Fhv80c1kDKRM69huXt41Zhgh3n8dtG670A5t5i3IK/jlx9nJSVk50ae/PkpkWT2nvrDfc491x2p4gfCfX1RR30Bmjt6g34YtXei/cT0nNy0hPuX9q7avogzYqLKsOGtS+xYfqvo+Rgl7q6h3RK0Fe3izgle+0g6ZQmc67kP4JgBy8qBDuAcqIf7MqmzcJ8n1yp4ZPq6j5VnbsvvVVUWonbNrqq7iKe/dc+LPThqxfsuiyOiZzTpqSStPKgj8MNJUQdMe7wnK7eZZnjYTgbcS7Gh09rX8qisAaCHVefn9lIVsz3NPiy0PcYr/FZUYu6Fb+PApFV7fGhcTvHVcRgx7niyuph1Yt7+7SYZ/evIwx08uaJ3zO5UUk7w9kFfn7syZp+2i8dxu8t+XWUHOwSlnWRTmn17f0iTlFtHC6d0nBGgU49BDt4UWGOHcCLJXbDW6NX3tFM7686ctX6yfWK+s/Ye/CKjVNe0nw6J+5659XvrxW37lDealbY4Z+G1ilqtweHl0b9dPDgD93dizhORETMu+us8IuHfpzYybekbWqZffVOb3z1z5FvXjZ82Kv7gkPnds4d3tiluAWuttV7TFm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"text/plain": [
"plot without title"
]
},
"metadata": {
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"output_type": "display_data"
}
],
"source": [
"p <- mcubePlotPvalues(mcube_object@pvalues, \"combined_pvalue\") +\n",
" xlim(c(0, 4)) +\n",
" ggtitle(\"Salivary gland\") +\n",
" coord_fixed(ratio = 1) +\n",
" theme(\n",
" plot.title = element_text(size = 24),\n",
" axis.title.x = element_text(size = 24),\n",
" axis.title.y = element_text(size = 24),\n",
" axis.text.x = element_text(size = 16),\n",
" axis.text.y = element_text(size = 16),\n",
" legend.position = \"none\"\n",
" )\n",
"\n",
"ggsave(\n",
" file = file.path(RESULT_PATH, paste0(\"salivary_gland\", \"_combined_pvalue.pdf\")),\n",
" plot = p, width = 5, height = 5\n",
")\n",
"p"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "eb220051",
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"source": [
"# Proportions in the 3D perspective\n",
"p <- mcubePlotPropCellType3D(\n",
" mcube_object@proportions, mcube_object@coordinates, celltype, proportion_threshold = 0.5, \n",
" spot_size = 1.5, opacity_target = 0.8, opacity_background = 0.05,\n",
" axis_rescale = c(1, 1, 1.5), plotly_eye = list(x = -0.1, y = -1.6, z = 1.8)\n",
")\n",
"plotly::save_image(\n",
" p, file.path(RESULT_PATH, paste0(\"proportion_\", \"salivary_gland\", \"_3D\", \".pdf\")),\n",
" width = 600, height = 400, scale = 5\n",
")\n",
"p"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "f68c8bd5",
"metadata": {
"vscode": {
"languageId": "r"
}
},
"outputs": [],
"source": [
"slices_plot <- c(5, 7, 9)\n",
"spots_plot <- rownames(mcube_object@proportions)[\n",
" mcube_object@batch_id %in% paste0(\"slice\", slices_plot - 1)\n",
"]\n",
"\n",
"proportions_long <- data.frame(\n",
" mcube_object@coordinates[spots_plot, c(\"x\", \"y\")],\n",
" proportion = mcube_object@proportions[spots_plot, celltype],\n",
" slice = paste(\n",
" \"Slice\",\n",
" as.integer(gsub(\"slice([0-9]+)\", \"\\\\1\", mcube_object@batch_id[spots_plot])) + 1\n",
" )\n",
")\n",
"# head(proportions_long)"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "75b1c8e0",
"metadata": {
"vscode": {
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}
},
"outputs": [
{
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6CXOu++mgpPqd551y9O9e9+bT/texL3nBgc9c0DXb15frf/nhsz9z45r0217d/cVv+Zu3n3zMC567eGGvN7J21cpVKx9bestvfvXr6+Z09hTEf7no7/7uwnvrktS99/F/9ddnnPiSw56z58LeSjSy6pG7b/7Zd7/6tR/fOyQN/PYTf/OvR/zyg897inF8zfXnv/fG+267b/nKDY1q/7wFuz7zwMNf+NIT3nDacc/qp/Vjq6C4Tt3aKy/+ZTpwPzjqzW+YvIUEs4biWjRnwYJAiiQ1H374cWnxxJs9tmxZ1rCnsQceWK4TmUCB2Va6YKc5r/nk53/8h/dds8okNVf8/vvn/f7750lB3+7PPuiwQw877AUvfNGLX3TInv0z3lYZ3nLe//nBY2m9s8tx//zd/3zXAX2tH85btNe8RXs95+AXHv+m93+m83Xrfvjxz9w0JMnb87XnX/KV0/Zqr3ZUmbv7/i89bf+XvvbUl73rdf/fL1Ypuvfr51/11//12qc2GXDVrZdfkT9url81vH7Vo/feevX//Pvnn/3afzr/c2cdMvcp7RVPB8V1qpb/8JKb0mU2ased8dqdZ2KXmC6Ka4F36KEH6id3StKdV17xyN+8d8LE9tDlV/y59Y/169dLBDvMttJ1xUpu8alfu+rb733pbh3LQUbDTyy5+aff++pnz3nHyS8++AUnveeLV9w7NFnT/FMxcMV/fm9FegB7n/31rxfrnU26/6L/vK4uSXu+49/OL9Y7BcHebz7vo8d1SdLQtT/97TR7IjbHhu+/4mOnnPj//WLV5rfFTKO4Ts0Dl1xye/oBzDnpjBNZ5mQrobgW7P6q/3VQ2lAZ3/mVc/7jno27pkf+/K8f+Ne72t2vwyMjU9898FSVMNhJCp7xio9cevPNl5//D29++f671DbqJGiuvPOqr7z3lUe/8cu3rJuh6ie86Ve/S++wU335+z/wwo0nvk/ikWuvfUCStO+pZ7xgE2N35x9zTDqdqnHbbdO8QbbXv+eRr33X/zn3v75/1S+uv+WOpQ8/8pcHlt7+26u+838/eOrBC7ISED1y8d+e/Y2HZrIyxhRRXDcruf3iH9yfPlx46puOL/1dqrZlFNeWfd9xzmsXpA9Hbvnc6056z/lX3Prg6uEwCodXP3Tr5ee/+9WvP/f2UVUqeaKs17fwuETsmMrXFdtS2e2Fp5/zwtPPUTTwyN233/Gnu+760523/eHWOx8eyO6Gk6y+6bwzz9QVV/zDQU//RHHPbbelNY87/IRX7jTll4394Q9ZO/3D/37inv+RPswH5Y7//9SaNaund2hH/tOPLxv/3Jxd933+rvs+//gz3vm2r7zrHV+6eVDS2B1f/sKVb/zGqfTIbg0U102Ifnvxjx5PH+7JMifbAoqrJKn/VZ//z3fedeYFD0eSRu676v++96r/O36b+cf945tGPve1WyWpr5dbxmILKGeLXadg7l6HvvzUt//9J8771pU33PWn31z0ydOfl3fljN31lX+6YNkMvMnq1VmFsNOz91sw9ZetWbkym4llSZxLMpbpfEk0MtKcgQNOefOP/OC3/u307MZMQ7+47NqhGds3nhKK60ZGf3Hxj9ekD/d/4xmHMNFnG7KjF9c5R33qyks/fMyiie8DW9nr1Z///n8eU83T4tx586a1d+Ap2RGCXYdg3n6v+Jvzr77qUy/ORmnEd/7PJUue9m6bQ8PZzKfevikO/5AkDQ5OfvfoyWxUGT1N/a94z5n7pg+j3//+zhndN54eiquk9T+55BfDkiTvsDPe+OynuTfMnh2yuLoFR77/ezff9IMv/v0Zr3z+vrst6O8KanMW7XPo8e/45Leu/fk33nZAcN992f06tNtui6Z9RMC07aCdGpX93vnRt1548tcekaS/3Hb7ej1v/tPaYbW/ryKFkkaGh6fxut5W0/xx593732/aSmPCn3PgAYEeiiQNrV7VkBjCtG3ZsYvryh9d/Ju0FSV46Rmvn2RNCWw7dsTiWt39JWd+6CVnfmiin911+x1Z//Tezz/s6X0SwJTscC12OXfQwQfmj9euWfO097fzztkCDGvvf2Dd1F+208J83YZ7l973tA/iKZvhNkDMtB24uC679Pu/TzvUaq8647VTH2CFrWcHLq4bSf549c+z9QZ6XvCC522tw8AOZYcNdqqPjuYPe3qmPM1qUgccfnhNkmS3/fyXU697+p7//GwF/Sd+/tM7t9ZtJe67Z0l2Sdm/8840122Ldtji+qeLv5/15bHMyfZjhy2uGxn+5XcuSxdq0cJTTz92B+0iwxa2wwa7wV/88vfZw6499tjlae+v8tJXHJ3WPc1f//tX/jjlSe37v/KVe6SPHv3vz/33o1vjhjND137tew+lD4MjjjhsKxwBNmdHLa7xLZf8IBt9v+vrzjiWi47tw45aXDcycssXP3XZ2vTxs97y9pdOPMUCmGGlC3YPX/Cuv/r4t3790NCmvsT1ey9636d/ni0VWX3ZK46age/bnNe+5y3pwFh7+Jt/855vLR3dzAsyB7/zfS9L66z6jZ986z9e9cikk7KiNbdf/Mm3fv66p3+sbcn6359/1v/+QXZn9b7jT30FbSJbEsV1kxrXXXxF1o215+lnvNjf9NaYbRTXabDBO//j7Wdf8Eg6zGXxmf/y3gOZz40to3Qtw8nwQ9ddePV1F35q4XOPfuUrjznysIMOfM4zFy2Y29/jR6Prnlx2722/u/qSb19y0+PZNCu3z7s+MDO3PKq86JzPv+HnZ//wcZNWXvuxk4792ZnvetvJxx6+/+KFvS69m+HyJbdef92vr5v37t+de0Lrdbuc8dmPXXHSx24ekqKHLnnPK2699M3veNOJRz1//z0W9ncl9Q1rVyy7544/3HjtlVf84u41UfX1L57WUV33sWPOfeigF73oRS88/Ll77rxg/vz58+f3dUX1dSse/POt113+nYuuvGttVktXD/3gR17HbPwtiuK6KUM/veSng+nD/d/4poM5LW5tFNeNLP23N53zx72Of8XLX3rwPrsv2nWXnXriwTWP3XvLtVd85xuX/GFN2v8b7HXWlz9+1HQm9AJPR+mCXS5cs/S6i5ded/Gmt5r/sk9+7ZxDZ6p9fP6rzv3m/3n8zM/dvE5S4/HfXfjPv7twou1OeWfHP4N9z/rGN594819/9c9DkkaXXXfBJ6+7YIYOScnwE3f/9sG7f3v5Nze9XbDXm7/+rXc/q3QtuNsJiusE1lx58bVpr5t3xBlv3GdW3gNPBcW1JRldcde1v7vr2v/5f5NtEex9xtd++Omj6QrBllPaYLdZ1Wcc+55Pf+6DJ+y1iTvNTFvt4Pde8pO9PvPBj3/71lXRNF43/6iPXnn1QZ/9x0/99y1PhpNtVNn1yDe970MfPH4GjrODN/fAN3zkS59660FzZnrPmDE7YHF99IeX3JweVeWoM05jmZPtyQ5YXCfi5h74xn/6wsf+6rAFtDbHYbj0Rz+a8d32LVq097HHzvhut3elC3bPeu8Vt75qyZJ7lixdsuSe+x5+fPX6DQMbBgYGhkaTSk9f/9yd99jvuQcc8pJXvuakl+0/fzZ++2Cvkz912Sv++sYf/eAnv77h93f/5cm164fj2rydFi5cuOueB7zw6Je//LiXHT7B67r2OeUzPzrxvX/48Y+uvv6mW++8/4k169ePxF198xY+Y78DDz3i6Fe99jXHPHvetI/4uM/97to3/vG2P/7xD7f/+cHHV69bt27dusExV+ufO2/nPZ9z8GEvOPrE004+cnFtBn5zTB/FdVL3X3LJHenwpJ5XnfGaadxvALOG4rqR5/39D39+xG9+ff1vbrr9gcdWrlq1eiDunr/Lrrvve9gxJ5x0ysnH7j+PkaGSpHBk5EdvfvOM7/aZxx1HsNuYm+JC21ddddUpp5zyzGc+8+GHH57tYwI2bZ999lm2bJmkD37wg+edd97GG1x55ZWnnnoqxRXbglZx/Yd/+IcvfelLG29w2WWXnXbaaRRXbAtaxfVDH/rQueeeO1O7Hduw4UvzZ3555r2PO+6tv/rVjO92e1e6FjsAALCNmY0R3IwKnxDBDgAAzCInzUanNMFuQgQ7AAAwu2YjhDErZUIEOwAAMLvoit1iCHYAAGB20RW7xRDsAADA7KIrdosh2AEAgNk1Gy12rBI4oekFu+XLl++7776zdCjAFC1fvnyKm1FcsdVRXLEdmWJxfQroit1iphfsoihiCU1sLyiu2I5QXFFiLHeyJU0p2F122WUTru8PAACwWcyK3WKmFOyWLFly4403Lly48Ktf/epsHxAwdc9+9rMnfP6II4649NJLt/DBAJs2WXE98sgjKa7Y1jznOc+Z2R3SYrfFTKMrtqen5/TTT5+9Q9k+WT4vxxQ35QVyvuKG4qb8Lnm+mkNKIlV6JFNzSJKCXsV1C0fleS7otXBEcUN+xdUWqtK3VX+X8th9990pq9heLF68mOKK0iPYbTE72KxYMyUN+V2SU1RXEinolszCIZlctc/CUYVD8gJXmaNwyKIx+VUX1KwxoCRUUJOZmkOySEG3ksiiEclzQbfipiyRc/K7lETZe8lkiSQ5J5eWQJNZ9oxkWp8dWCRrDLi+PVRbsBU+FgAAZhNdsVtMGYNdEtnIEwqHJWdeoOYGhSPyAucCG1svS+RVVJuXxS/nyXmSSTKL8xzmyevKd+csWyrHqTGQbinJkkb60MkUjeXbetluJVmcNea1U12Bmdz4CxgbecLV5rM0D4BtkcVqDpnFrjpX3nTOHZZoZKWFo642X91cu+6gaLHbYkoX7Cy29UsUNyUpiRWNSE4yNUesFbkqPYrDtM1MzmVZzZIs1UlylfYO2ykraaU6ydoPXTGH5Y/TZrn2Ru3Xbfrg1RxSpV9OisZksfyalCgckUxBn/zqJl8PALPC6mtszR2KGpLM8xUscEksv8vNf+ZmslpjIHn4Z6qvV1r/9S92/bvKEvUscnP33hKHjm2Akzw3820Wbhb2WQKlC3b11Vmqk5Q0JGUhrJXqvKDdftbRkJa0HrmNG9jS/UzMbfRgsg02zwaXSU6epyTOXutaIdK5nkXq2WXqewOAp8JMTu26Kx6zVX/MKyXTuuVqPpBdvD52k+ve2ZS4rrlut0PVt5vipoJaa0/Jsl9obEP2j6Cq5npbu16S1j+g1Xea58uruv493fxnKR5T0LNxVwbKwZuFDEaL3YTKFuwszJvo0q7VlCtmsqmUhNaUiCmURLO80a7wLs4V/mXt/ThN/Py4d0/i9uPC9ja6wlV6mGOxo7G1D+iJO2xs0PXs5HZ9njWHFYfq29XN20uNQTmnrjn04GNmNIds3RIbWyfJde/s5uxtSajGQPvaeHRAzbH29iYbXS3J6utt5AkFgcxU6XW7HCK/qmhMo2uzLT1ffn7GcU5+xeKGYsnVbf1SG3ggfd717aGuBbLI1eara/4W+q0x+/xZqKMIdhPaDoNd3LRVf1Z9rYKam7uHxSMWjbmgS0lso6vk11ylJ9/Uk2JJMleIVHFhX4VoZe3MZWauI6u5fG+tVr1CQCuW1XbI6wx8rcfFhGmJ5GmaLcnWHHQTB7vJYiK2b/bEHfbgtXJOZtYYsMFHsh94nlVqSq9euvpd93yLRuXX3Jy9FCdqDKo2z+38XMVjihvqmje9QVHYMcWN5MmbFYfpv2zwUVv/oCT5XQryASqNeqECLNQ51S55XjYKpTFkj/5W6qzxij0hXtB+rRe0C2eS2MAyaZnSi9qg1/ldcp76n+Hm7jOTvym2uNlosaMndkLbW10f1pMllyoalXOq9pufpFWMja5Ke2CdJWoFOy9QHEtp937euZnEUpIFfTO5PA8lkZzLhtxZ0qqDLImcl9ZoJqXTLMzSAXmeL8mc5+TyWRetA02yxjYnmcubDF17GF8mlrmJZ1dMwCysu/ARG12lap+ihoVD8qqq9CgaUdyUX3W9u7ue3Z7C54otwNY+ZCv+rLCu/kXeoufZ0ColiVuwp7rn5yn7fSUAACAASURBVGvlbDzJJrFl10t515if91I5p6CSpTrnlIzZyJOSlGywlQ9kJ1fPsyduyWpTz3c9O1s0Jpnr2119uyscll91fYvlVxWOKOgpdp+h/OKGrV1qY2udV9WcPdycvWWxDS1vpbps2abscbMd7GSF8SE5z5OXl16zdkVXvByeTPGSo11DmpqjagxlU9QGH7VVf5LFCmpu3rNc/zOURKr0yqtsvD9sm2ZjjN1s7LMEtrNgZ0/comhUksw0Jx1tZrK4VQFZHLrmiCq9cnLOM+fnJ79ATrJYzssWInGS8/LsZbJIcSivIue7oJXAnCyxuOGcn22fDjwxmSzNgk4VOeXjQsaNt8uznVz2phP9TjLbfLAzs+YGJbFJiutqDmbPJ1E+lFCKmzb4F5m53t2n86FiS7BlNyYP/lrOSU6rH4wf/G0Wv4KK65uneEzOcwueqe65CodV7XM77W/hqEZWtU+0xULi+52P84I3OpJP3HGqdbevZ5PYhp9MnzYlGl2RHdW6pfnlitQ1RyYlDdc1zy3Yn16wMosbybKrFTXkzMxpeLmt+L2SSF19ckFWHpK84Mk0skFBJZ+8VUx1edPdJOOV5Xz5LrvAHn9Z29pDS6GGjEO1x9J48qtKmpJT3LTh5VZ/Mv2Bqy1IVzBw3Qunt1ZUVLf66nSRUde9y9QurfG0+LMxxo5cN5HtLdgNZyck+b78/Fqto75wFo0qHnNexfyKvEAKZImShjxf8vNTXaI0aHl+fiKUTFlA9KtyQf6UlA3Xc/mkCmetIXRmlsTOL1zLtgfntebbdua9CcfYFdoIC79tLLP0ctbiRnvgXXFwsTduoLGzkccIdltOElpj0Hm+qnM2dW5oDCcP5Q1vlijOlsJxvq/umuIxSXKy0ZWqr8wuJ1YvmfxiQJ2nw0JLSauQ+N5GZUOSFNTazzu/UCJNjYFsN/FKG13lPeNlZLuysrX3ZKXOlFeGkSQlcfuaIcnLXpLIEg2sVs/crGXOOZllVxRJPL6Qdgxpzu8RGieKI3me/Eo2jNhPy23Srgk7RqrE7cKZNek5SarNabfwRXXbkN1d15xz3TuZV3VeRb2LXM8iJdFkww+svsY2PJBd3tedjT7h/G7JqdrvenZRYvJ85nDMLCf5s9FixwCkiWzbwa45aMNPKG6oOkd+RY0NiqPs254UBq51DKDM1i6xuJFVQHJyeU0ktWNca+OUVylMp41ag3yd8ywNjtnCwul/PGvntkjKg12StM+avq84H27c6pAYf5pu1Wj5OsaFYmpJpLDugpq8ikvCCQLhBEXanEn1Var0KejZ+MeYQTb4iK1bIktMUnoVEY3J73K9uykOFdVVnePmPlONoWTtQ+3Lj+JSOJXC+jXVWv4HtcJqiLLEXHpZWiy6SdLu+ZpweOVkKdMPNr+NmSRbu9Tt/pJJfnVsl6y+WkOPWNTQ6Jr2qOJipRQ15Vfyas7ruGa2WCPr5HnyfFVriiMFFTlPjTFZrK6alBdRv5quiqJs706eL3mKmgqbimMFgZzJuXy0TEOV9OVRR2XeHsiXP+n5hdF4UeFdPFW6LRqTxkyemoM2sEwyeb7r3V2VflnsKn3yu9JfxAYeyn9354IuyVPckKR6w+prsl1W57quudmaU8xXe/qc3Cw02U1/n/G6pb/60Q+v+cP9yx9fNVLdaffF+xxy/OtOf/Xhu3Vt/rWT+f0XTvzQz+pT3tw/7rO/+sRRnc/d+ZXXf+DydZt96YLXnX/Z3x+62c223WBnw4/Zmruzr19zfda6UOlSOCJJligaU6Vbkjy/XQe1ulDTIRq1OdlZr1hJWZxdjaVdqGmDf6F2M1k6Mk6SXOAUmSV5NePyDQrbx015vku7tJJInidzcp78SnvsnXn5wJTCIJL2fz1ZIlNeCbb3bVFdqnfUsK5zB4UfOL9LztnIE5JU6XdznkkXwyyx+hpbe3frX+1FqqOmDa+UJOcUR/bYTUpihc2Jd+K3ehJcxxCllmaoxpjVupzzlJiSOBvZWR9xff3ZHzdqqtKVvaPz8gaYyUY2TbEeNGus51q4TGzwL7b27mwFpaQ5cWOwxQpH0/vxyPlZKfKKk8/yQuEH8rysxz+JswuGtMu1q09xqLTObO2kVZiSWIkn31McZhcwYSSZgprqQ6rUFKTxyyt8EfJLl2Ld2Lr4kRRU2m+Qhb+0Nzm24cfyXThXWyC/Zkmz1cnr0nNHprO8NwesOZD/sl2q9MgSF/SqtpAR+0+N58/8ycibTl9ssuqGL737rE9c8VCj8/n/+Jdzdj3mH77x7U+/Zu+nlu7W3XvD9dePTHnz2h4DGz234YGbrr9+5WZfuuuBGza7jbbdYJeEtvaefPRGq1XcFFTbES2sK6jK+ZLJVWTN9BJNXkUWyaR4TCMN1ebJq+ZVQ2stYpPnO+fJC8w8Z4nUNOV3/fL8tM+sne2yTGYdzS3tdjNTEpnSBfBc1h3mKlm9plZTn+scdOwmqlsLP/aC4gIqhR+1W2g6lrnzqx1VUzhkI4+7vj2m/KFjk9Jrej//5o880W4GLg4qCvOEZ4nCet6GEbQ3du3x5C5O5Lz8YsE2PmFYHMlM9THzPVepKDJ5Js9To6log/r6FVRUH1WPsmzX06OREclUqcmvZo3QHVc1yUQrwI8rh1nKtCdvVe/uCroU1eV3u+6FskRxU5XuKQdEbBsstnVL0kcyyQsKwaizIoojxUPyq3JeVpcmpmpXtsRJtUtRPvauVWJbU1z9QJ4vz6l3nhqjUiLfV5SOafbkuax7t7h0QCqsK6zLYjVHFEcKqvI8yc+uZFwe8uLimgYF7W5T19H9WvhCOReoOSQNFb+teWP45sSN9OtvjQHVn8xmvFXnue6FSiL5VeZwTIGbVgib6k6nHLJtxRV/9eLTvvfIhFe88crrv3jK4bd99cZr/nb/Wf9T9p100jGz/BbbaLCz5mBhXlXhPBQ3Ve1SHCtJ5Dk1h+Qq8vzsJq2WZN2vrpI1okRjSseMdy/omGCfRjGT8+WcJ+dZuzpwSpL03Gcyl7f4ZXMs0i2suDJeO2YV1kkpPi7Wm4We1vbOOyVhVk04r1X/uqAqM8uyRcWZLI2Pfpez0JI463EepzkgEeyetuaQDS3L2uScpzjKymdxdGb2IGmfNpK4vUEcu0rFwqZMbt58DQ9aoyE5C0MX5AUv7dtSR4lwvp/tIk7km3wpSZQkMrMo0ob1zvdVq2l0VF5DXTVVq+rrUzNUrVfVHoWjihryfZmXDwwoLr7TGtlZuFBpzQSyxMZWKxzOtjGzpKmoKUlexc3dO7sXX7VffrfCYXmBq+0kr6J4TH4XQ5S2CUlkg8tsbL1r3S8x5VeVxEpCpdPCsvsrBtlIOylbOiCtS9MpsZ6nOG2Zc4pCWaIwVDXr3FRSmBUryXmq9SluKokUVLLvQtClsCGTqr2KG9m3oz2ooPVlaUimoEteVS7Jh7slskTOFDeyi6vN9kUUv0euNbpazrUH0rgJLq03+5Hmg2rG1thYq992jqv0ykxBt6pzpr3PHYObhRa7qXbFJvd84ZS35Kmusvilf/Wet59w6B59jSeXXH/p1y+85sERSet+9b9f/YHn3v0fx057ENML/+maX79jkouOzH3/dcZ7Ll4pSfNPP/t1m+ja3/fsi775V3tO9tPq4s33w2qbCXZmQ49pbJ0839UWWjhkY+sLPyxs6PkyJ8+X52cD2ixUEsqvSWrNWpU0/tKtOJC2fWKLWgusO79q2Von6VCPfPBTEk8wAtc5JdlOnEmu2BCXZ7WkKa+qCbJddhJ1ZibLrjiKl7CWKAmVju1LM6sl5gXOq7iganHsnC/POc/MEjkn1+U8m6DrzUxxaBselF+TcwqHJFOlz/Us4vpyGuKmDdyf1+axDT2e90/5m/kYk8JfJInl+86rKY7V1aXarhoadGN1azasMea6ukzSyIjr75fnK4oUhapUJMnz2g3NhYtT53sWJ5IsSVzrLeJQqsrzVfMVVOVJXb3q6lVzJG2izmZjJE25tB8tHbfuK45loYKa5DoGOXld7dNn2qCSvnttXjY5XVJ9reVpwNxD7ZJe6XVJbHHDVee4vsVKIlmiar8qvYobcp487o83yyxOnrw1Hbuy0fIkUqVbVlUSydJqJ1a1R9FY1sobhaoUrnXTfoy0v9X35XkKG4ojhaGCIJuLPXcnSQobCqodQ4cleb7iSM6pWstGm3g1RU1FoZJIXiW7nG5dabTv7piv9Om8bKB8c1SVRH5XtvpdEuUti/ldMSb8JMY1hvtBNtncFVdaeRrN0M1Ba61UUOl1c/alu3ZjW7HF7smLPvQvf0wHwXUf8eGfXfOFl+2U/eTVp73j797172847n9fs0aKl339nPP+7raPHTDNA12w/9HH7r+pDezWn74z62fd/S1nn7CpDt++Z77w2E3vbAq2gWBnZit+Z/W1kuR8G101/ithkSzvZKz0qDGcP1/oVGq1chXHJ2WjgNN5VX6h46zdPmHhsKv0yeW3qch+UmmNvTPFLjG5oH1XWcmsdd9Yl1cZ7Za6bN9pA5vznLzsMledkxyzJ5J2H266m3SAlCXZ4TpP6VJ5klzggkBK0mzqih0QrT7f/NPJKsfmgDTYrrCiMWtucPOfR4PKpMykpP35NNa1p5o2BtoFbGxY3fOyP3s0li0CV5ymU2xpbpWRIEjbVt2ceert04rHFIYWRgp8+b4NDqhSdcpHCwS+oljVqgtDS8xVKrIk7cyyWrdGRrL+/VYhj4tD3cP2nJ52L3Dr+iGStXq4IlkkSxSOynmq9LYOun3aS+J2qgt6WvcstiQstPEUJjYmoUZXZ6PzLc5amtNtvHzQVdDj5uytoHsqfxM8BTb0WDYiWa2SqY784nwplkx+RRbI81XtVeQpqqs5Ki+QX1EcKQ6zSGfjazslkZqRmg3FsWy1uvtlsZxTV7+UaGRAPf3jD6s14y2oKUkUh4pCOV9RU5ao0iXnsmF2mc7RLDKFdcWhqn2qdCsJJV9+oNhkibxKoZ6fjHPOl+/l60zlJwWLO3LeUxaO2OiTrpf1RMfzvNkYYzeVff7pK5+/Ov0mdB/9+Us/30p1qZ6D3vfdr9343DdcskqK7/jyF3/2oYtOnNmrzvDXF/x3Nn17v7edddTsn3u3frCzwYezVCcpqLWrjNYokDhUMqiu/qwRrlLLhjFlYcikdDKXya/KubzdPh9pno2oq8jvylYnTtoNdUpCa2xwXiXrQcuGjPhp/6xkFqfLETclubzpLltx2KzVjDIuihb75kyJU2u6frsvuCOFWUdzTGfXbVoZJ65dIRdH1hWq6eJMyVZz0UajthSHqq9Wz6KN/xY7umjM1t5toyuztqXunV3aK5SzKGyfBpKmRtepq0/OV2NU5rJRbn5N8Vh7OF0aYqpdCvORSVGkqi9Jvt8+1yZJtsxE2MxWlIhjxbEscc5TtculVxDOT4ue8zz19lnYcM6T5+VBMGiXgWZDfpc8X1ZYtyIbzJ6u1G3ttrn28j1J4fe1QmktDEvyK+2SanFhTGhhnEMcSk7pWIf27GyXNj9n/4rrNvCgW8A1xkwbW2cDyywadVboHHK+/K5sGqkXKInztOS1l7lOBd2KE9moxgZV6VIUK2nKOXm+wjF5FaWDBzbOTo2GwlD9c9Ucy/r9G2OS1NO3maSVLiOaLpvSHJNXUXcgpUXUqVJTNFaIpJa9JOVVsisoP63Dg8KRtUKb3PjrXsm1pivljYuWKIlU6LR9qtLuEYLdeG4Wgt2UWuz+9MMfPZA+WviWj7x77wleseD1H/27517yz0slbfjxD38VnnjiTHZqjf7kgu9n7XUHn3X24TO458lsA1Mm62sK3afFRg4vXS5YTgpHNLpajQHFdQU11eao2isvyKYBpm1pcVPN4XxyoifnS152Jmstg+QF8lrdBK3uS7OkWViaRK59q1bnJmydd+3/s45zYXFYR/uzbQe9LC+mmxYmZLlxL8w6cFttcs7UvuOt86XWeMHC2dRiJXHH2C9JtvHxO2sOKqrnH9qAwuHJJ1HuMCxJVt5qIyuyjyIa0/BjVl+j5lBrk3bFZE7mlESqb9DoWsnUHNboeoVNeb6CbvnVrPczLZ9+Vd192XI2zbEsdkdx63TlsruepK11E/0tWn9H57JFOX3P1bqzQU7Ok+fL92WJ4igrBqMDao4qnQPYakQMau1S1yonQXfHBVXhXfMn24XZFceeT1hsCu3irthb7TbaLG62l9rGTLCRJ5MVt9joKjWHLBo3+c+TX8tnRQSti9jsh4UeifafO2woDmVSs6HmmKJY4ZiiUGaF28W69k0pWkU3jrINGmPasHb8rPDWmtsdz3tS3l+RPeHkVeS8bPFFV5zBqonCopfPUXOFMTByzs+XvlLH1XVnD4ekbBjMZAPvplpJmmzT4612SE6e52b8f1OZ/fLA1VdnuW7uyae/auL767gD33Ba1v+54ac/vXGmful0hz+48PK0mvOPOvvt+83oviexNVvsrL5Go0+qsaF4n9YOWfObL6WT5EezGbLOU8cwTNdu5EoK3yi/otba6XGz3enTukiVZFHW/O5J8tKKyZKoXVjStpN023bLhlPQraiePd1qw88GiMSSnHOmrMGmIx26QEpXHnZOVUsi1xqnnPbVWp7zsjN+xdK7yqbZLo0CeYNi4WzZuu5UVrXlv2HnGdWkWM0BWzcgv9r+5L2q69+z0A23w7GxtWrkIaN91W7WHHJp01exjDrlC4sUM3R6VqhmC+W7etbzmG5frapSUdTU2JhGBxV0qdnIwrpJQSA/cFFkkqJIzmUNeJ6fr2ZceKPEWsm/83do3cXOsuLUrMs5+YGU3+DEear0KInzuR0mOfkVublqpqMw+xWNZkOX2r+v3x6cEDdbpXP8Umcb2+z1dFRnGeQZZOvuyfsiTRbJtVZxT++14yRf2djcSnYp6FeUxHJeexnO9upOak9lTfLbJDbzBukkyS4zunsURUpncDcb2cVGOz/Z+BCWDrhMV7Zr3YvMc9lYgo1TkfMUdClOI1dFiiVfUUNBl5xTcZ53NkqvWOryyjCtMNPLJ0vGV4yuMI9iwsF22Ue60UryE64tHzdt/b2uZ5d8la6emenk3c7NxnInUwh2yV13Lck2fvFRL530EA445piFn713jaSVf/7zah2780wd4orvXXBNGhWqJ5z91i1z84CtVtps4CHb8JCck8Xtk1YSaeO7OLjCRX/Hwuhxe7XVJF+aLl1jIl3frvjtjMP0bqrZ43QssKSxQVV75XfJ0nm1TVns0pbC9LRtcp4vSyx7ICmWnPMCVXotiWSRWSw1nTw5L7+sTOdFWHuiflHaDJk+9Iq3uHCSk4vycJZv025i6fhgxlc/7bPs5MOAi6OSTYVPvmlDf3Hz999x+8UKLXMdcSRq2PAK9ezkvFphQVSnrj6NDUgu69VKi2LxuqKQxszMpafVoCKNyaSwobCZl3DJc84p6+SKIms25fku8FWpyA+y8272NzUNj1ij6RbuJCnvh5UkxYVvR+vNzQoHkq/ymC70lSTtHi4vUG1+VurS5KdWWZJkCrqySY7OKarnl0mFEX6tB2l8zNaVLCw2VlzPxUxJ05LINjyooUdV28mlQxurc1x1jqK6nK9qv7yKkrBzPjs2YomNrlRzUFZcs1eyWImTF8gixY38sq14KSJJ2XVymnWSWE6Km6qk/bZOlZrGRiQprc2SzkXpLO+N6J+jsGnDQxoecf1OlWo2W6K1TEnQ2beVrpuj9LYW+SWHl7f5jQ2r1idJFkp5E0v7iiWv6qMxeYECP4uY6b0lq61Rfa1qsNDarVbI61QcHTvh1UhrUExrGdTWhyyboNqMGza0PH+t76r95jx5Fdc1v71k0o7Ezc7kiSncK/bhpUuz1uXdnv3sTUxH3W+/Z0lrJGnJkiXSMTNzgHrgogtvSE8LfaecffpOm9laGnng5//1ma/dfPeyFesb1TkLFu7+rMNedNRxrzrugIXTSGtbKdi1bgVjll1RFe7rkG8TZstOWpItbiKXLXRUqcn5SqIsCDpfUSPvX/CVNBXG8rsUh+2vqPMUjWXT+5NISrJTjiVqDMkNy+9RT742ZtZ/5MmljWQml98Nxal9eeg851fNPEV1mUyJa42UKg6DcxOvatKp2CSTjmje+PnW4zhbSGkcz2sPn2/PAi40q3REzI2qtiRSOFqoFncwxdZKs85TV6jhJy1rP5aU1lKBeuYrrKsxorAps2yxurghvyo5hWNZU4SZRobUPzc70+SFwYLi6SHbrWv9K4ktTFylIpePxsvf28JQ9VFb0VRPj5s3V75TusqKxYqibH5Gtqa/KagqqCmsS3mjy/hO/LTVofPM5PlSYRB62oocdElVyVncUBw6v5J96dLef5f2F5tzviq9Fo7IkrTROrsyScL2KS1uWLvV3DS2Lvv+N4fk8tsGZtceiZyn2kLXt5jVtidiNvCQwmHJSUkh0Kf/jRTHWVWZNh1FzazjXupcVjPbWxatPF/VbpnJ81TrVmNMvi/PV6MuSX5FSXP8JWt6GxWLbXBAge9qPXmHgFMYqlKV52VrrFSqHb0KZulYE3n5JUFjVGaqpusk1xV0y0xRPVv9IPv1XKEt0GSWNQQ2hxTU5ILW18k6quDWRchG2lNrJ/yYx/V7tPZm2VCHwjCbjV4bW2NDlkxHV7n+vdQ1d9I3Ki8vmPlWgyksobJiRV6j7LnnpMuISHrGXnt5uiWRtObJJ+OJlvt8Ku668MLb0kcLTz/rNVO4g8mD3/nAuzuf+da/SbU9jnnHx877wt88f2oFZ+tUlNYY6LhwdEHW0NU6u6SX71FDcTNb1ihbvivJsl1zSEkkixWNKRzJrjWjRjbGLokVjrZvESZlzQ9JrDhfct3yzqn0cdy+IUjnyKHO81/7cf5jF7S+z2aRNqopJclN1l1VbP2fYByevNbOnVqLpJuUhBPVQZ78dCixM5ll26TR2R9/V72JajYbecKGH7PRlbb+3mTNnbb+PoVDE2xXRs5V2sPLih+OVyyTuVZTR7VXXkVmCpsaG5VMSaSwrqiuJFLUVBJb2NToiA2uV5zegiJfndh52Zom6hjEZmE06TsWN44iDQ5anEiePE+BJznFkRr5bYX99PmaKj35mFRPUaOQ8vOE12o1d4VffoLRmSqcz5L2XFeX96Y5yTlznjzfdc1RtU9+RRbLIpNZElk8lqbAdqrrGHVaaJyW2osCWqL6qnb7B4oaAwrThQLST3Wi1aezYaN11dfJYiWh4jC7Q0mWfayjLb9VMNI/hxeouy9bNLirW76vapdqPVkya63rJrUbjOO8OGVlwzQ6rOaY6nWNDmeDW7L7Q7beNHvPbF/NukYHJFM4qsaQolHFoZKmJFlcGEuz8TJPicLRvEZN5NLx9Xn+S8Jie+P417rJbxHrJvxH60FhActJpZ+J2fDyHXNM82yMsZtCK+DwcL6QRn//ppot/L6+fLRW+yVPU3zDBd/JxvftfubZJzz1ubZjy6//2rtffMhp334g3PzGW6jFLu0pCIfkAvlVDT1uHSOmC23jrUs3l3fxZKM9sh0V9mnZlVi2j9adwdI2iXw4RevVSVRYN6vQDBZ0KxxJ2wWd5ecyi80i5wJJ5kyW34Ki48udtGKxc1VTU5Y45/KbPjmp1bMwSXud2fiaxeVjpNKRhWkczOqaYidXpCRREklR1khZ/DCdL99XFClLqO11OWXtex50NEq1Ptu4btGQomZ2cRnVbWytW/A81zVvguMvFwuHXM8uVl+juNnx96r0qDmQ/11adxwujOvxC31M2fOF02QSuzg0SfW61euuUpHvZzc4d3K1moLAokiBnzVvRJFGR9VdU7plS6MuL1Clmo+Uyriwqeq4CVyWjwotjCIPagpqCkezDqy0IKVtbJ6XtXY4P5tXno2gimRJ3sUc5iv+tLrDsvcvNIFY/lT6BZTzKpbEklk67VFSElvSeUvF4hyjTY+XGVuj/mfsuEMFJmGtBQUlF4VWqSpsyBL5vmLLvu9+Je+ibTXBxoqsPaXAEiWxPGXRv1Vvpvd1zXcvmTxP1Zqcp8BTT7/ChpoNxZH8QEmialXN9GYnE1WVzWY2snNogyrVdju0SV09ao6NH0nS/hI1s3orasjlRTGdqCtrj7HxKoWbLCdyfnu0Sdr0m17Mp+s4WmxmLn3hRDd9mYDzJ6q0iwNgpiAdzBPXFexgA5qdt/8Vvyg+MfKHWx7//D9Pbx9BZb9Lryo+E658cjOvsZGRvMqp1SaeOZHp7u6WRqQs2M1Ao2rzmgv+54n04bPffvZmljlx3bsf+rJjjjri4H0XL1q0aNFOPfHImsfuveOGa75/2W+X1yWp+chlf33C3+522zdP2Nyw5NkPdhYna/6cLWcah6qvkpwsXehIUt5TmUoieV2F5/MRD+lQG6WngUIPTkvxaxl0K26MHw9hpqiRnbek9nmo0isvyFZ78gNZkq0bHDXkxZbmRTM5M3PjG9pbQ4ydc64r6w5Qfgd3ryJ5HYuZjec6GurUWTM4dbanFusdv+NDmHBAiPPzRpG4XVEWR0R1vLDwxtn9gtrb2ODDbufnT/5bbOeiug0/ZtGIM8n5rmdXWWz1VfkNLj05T9U5isay4d5pM0ASKglV6ZEk38nz89F1hftOtgqw3/6WmbXawfI/ShBkN59IW8sSk5lG6/Ia6m833NtYQ80h1zdHtS431rB0507WaLjumjxfcWKjI64vHZlUuL1EHOZDTgud9a0R360GknS5B8tvedJ6Jm7K+dmQO9/PPwFPcs6ryAvMQpmyhnC/Islk7aV5OhYVc9r45Fe46tn8qTUa25Hn90zIOa/Q7B9LnirdWY+nHyiO5NIqMcwKcCuIuMLfJYvysVyiOGyvBtUclWoKqlmXSCt4p6XL8+RXpIaSJF0SxfmBevs0VldXTV4+F210T5rgkgAAIABJREFUzHX3ZH/d1ly0qCm/O3sXP5DLb1YWhe0iESeKw+zCqd35mchL+2EjxZGCWvar+VX5VXnVbHGWdoQtflqtvpowrastasgLXHqFM5WO/tYovfYzedqb1iXHjjht1padfUbHv6No2qPukmjcTnoPe8Hc4161qZe4SsWXIkmKomhTW7Z/XKnMyGonQ1dc+MNsKbfDzzrr4E1ue/jH71j9b4t6N/o83vLuf/r8iuu/eNZbPvbzJ0yKl13wvs+eveTLL9n0Ac56sLPhx9qL1DfWZ80SzqnSnY37cYXzYtJUZNlar62BC8obRdKWqvRLm37P0+ldUnYpmVY3fiVbAy8JpUY23FueFCmK8qF4rQWB88aMdDk6l9+4M4ktbRKTk3NmShseNlo1pzOLuULcnHC2lDo2n3g68GYvHwufmFkkK65UnPMrLluBz2XNSNkpPH/HiY8tGX88JkVjCocV9JRwhFM0lqy9Kz3PmVdxCtrNpcobgNMW00qv4ig/Z/jZyluNoWxJsO5ehQ3FcdbrJNdxh3JJ1S41G5JTULhpbDHotP7orQaSJFFYqP0Tk5kNDmhQiuOsxcL3ZGbrB9Rdc3Gi0bqZuZ4eVf3sjOic4mY2f1Amv6Y472NIT4HqvEAqHrbnKTZZa+0Gy4bDp4PqJLlKNms7MWdjFjdlibxAnm8ua+R26WKQabevF2SXZx2s+GiScm+Km2aRrbnDdc1zXfMtCeV81zVPLlDckFcpzAyY5qliO9fR+5E1ULUyisvKgJy65qZDgSU/a8bzKvm1aKFtzPJGvrRz1kyNuuIomzkrX55THClJVK1Jndee6a6CQH35RbvvKUlUH7Mkdn19+eTWkexQ28sd5xfwlWp7vna65OHIsHr75af3Oiu08I27KE0reb+qoEsWZPecdHHrzj35B+Jt1GGayMLsFpRWnKI0dS77JKfDBpZl84QsUVBTZYcY2ZwMj1/baIq36t3ETqzZmGzLXF9fn7RBkur1ujT5Dd/q9bxpb9N9tlO16pILfpIui+wfddbbNrPMSf+uk64sG+x2zEd+fK075vkfuWVM0oPf/Novz33JqzeZ3WY/2LUnG5rifAiaV3F+VV5gcZgtTZmeERNT3ExvqJVFvVbTt1+RKoojRaNZhGp1DLX+2xrz4eWjzZoj2U9d0p5LVYxcrWHjhUaOzrTVrkXcuDH1E3RIeVnczF64Oa61Fnznk5t/YZBOh3RKLAmlxJxzWRdwfkh+l2tV0+l8i9ZBTvYuEw+rUrLmLjnP9S52/aW686wNL2/HmjiSn32ALuiycFRS3pWZ3je9sIKb85RIShu00juC1/L+I0n5CPS8iLpqVZ5nUeiqXZJT2JQlCgIlsZJEiWmsrp6etBTKT5c4keuIWf4EBao1crxet7TTP+3wXbCTPF9JQ56noKLGkKKGKl3ZYLu0K7baq1CKm/Iq7Rbx4iJ2xV6ndpNkQbZoWbqUVN46GIeqVVthzrnOe6Jk49PzPZvkVyUv7ajtLJLt7102Mi89pDi0+ur0osjG1nV+PrGSREHV9fz/7L15lF5XdSf62+fc6ZtqLs2yZMs2tsE2xsayjWmbwZjBECC8ACFN2ryXvKxASLrzOkmz+nVWZ3WmphNWXjoJnTQQEkhemhBeOiEhzTxPwWA8D5Isa5aqSjV90733nP3+OOfce76qrwZJVVLJ9l6ydXW/O5x77xn28Nu/vR3PAvAAAKgU6ZxzDytw5llfvp8etqaINt64EFCQAdigdTW6cwgrzokre3KZAeSZpSDQCkzIMuQ5IBBFaLXK6dS56GA800QAsWaA0U05m0Z9gJIqkiq6bWiFtIO4AgBZitBR0/skiwywwvw0gghJxbKciEVsdnbad32MJKTJ+M6hFIWJRRNaNKd1WHJBetWDZF1dTLaPnPlZfhUyGSOIwURhDcnY2bZho8sFojsZHBy0it2pU6eAzUsdN3vypFUSw4GBNSiIc+jPP/w5Y8gmd7/rx8+R5iS6+t/++r0feMUfnQIw+7nPfQevvW25w9fRB8PtU3z6McpaPfOL/c1wnQsKYlfRmeyoA8DsrSK9q1lPz/B+8iOe2uVMGIrj8tgiI8EBjNAL8fEB3aZ8IUBCutJk4J68J+3BjaU19Yw/w6RTrNK/RYvyW1dp+5GACJgETAiG8z5ssQU1gLmuf2Xd7zb2K/TV+TTPH+LmsT4/XYTC6Qy3jnE26143m2wANmpHUKMgAYiCBPGg1Xf9LyVDDzbthcIKWfz1g4CSCoSAFEgSVIzDQ0IGYGal0Gwiy5GmSCLrt4uTYqWkgjwMKD15uoDTAf4EV7BtaweQVym6LQAQAaI6ogaIENURD1rKYhGBJEyiq/U962KtpXjQrfrlmPL7E3tAQyoJlh3qjqgcbqbok/0BJCQJYaK67hT2N5izcqAVUIqF5pCGSi3vTN7l2f1IZxa+/2ekKMPjwGDNeQpmGEVKdcqO0SNFJ5FuvorApjJYc6Fy3zOfeK5lY0J0W5ifQZ5BG3Y3lCqXZou0A8gZSzb1DUAQojYACpArdDpQCp0u5mftN82zhTdllEa+zntKMBNQ5KtJ2dPI4grsSI/NRcjMz5JIGGwNkWcPXyiFSnXRnUU6w82jPPPkmfr/LhYhKdbjz0q3vfzyy+3WUwcOLHPcgeLXPcUZ5yAPf+TD3zJ9tf7Gd/3YuXN1Bi+94yW2fx4/dGjZmPL6KXY8s49nnuTuaYZHUxc66KLOC/Jx8ku4+CqO8NZOW5WIAInaJreXSn0uHkZcuFi9HPggtusQCQSRJcQSMeKGLXAuQgQRSEIQwMwZWDFrIkEiggghAqKAgtiufCgUULacKaxAsAwCZlE05eHPAHKxOnhH/zOlXYYB6ptp5WP1/GmLuPcg55WU4TL2IrdOnF07N5Cw4skHefJBntkPv4YpAGioLlQXBEQNqoxwWCcZUWUEUY0gIF0XkiHCqg2qWrwOig8BLNAC+/aEwrSwpY1Ya+50LLldHKFW5TAEs6ktxmluA0xKQRmXCUMzmm271MnAVW0nBF72lXRFlnzCyML3KFwaoLVJ3Lb/JCIASUpGENYQVCBjyNjaFW5ZJRnaIhNEFkrR82Ktj93tK18I2+WWekEOpbbt92ryHYo9huLChfCZ0FFXIx7trcsU09AKKgcrCz6jsrJWn1B4GYLQSFvIuyBCmEAEUFm5PihV9h3hOdUA65+2nVBCSOQ5uh2rogmBxDmzfaevRdHl6LTBGt02pifQbNp6j4BFctobLfH4Jp5rChYXtDuFv3ypU8mljJAkCthH5myEUkx5C53JlQ+7CGVdFLuVPXZD11xjy7s177vvsSUPm/3nf7b5q8E111x5rs/K3/zQRywt8tiPvev1a4EMDms1m4DA7XZn+WPXpx9n89w+aVrQsz+oFeYgd067WYbKMkcG88su9mqPJ4QJ4kHICEFCyQgN7qJkGGHVlqkWEmGM2mYMXoLaZojIsqJoZS8e1hFUYMAQQQIRAAJhFdYPQZCBzZllcGnbGYSQW36FdGsP9a58vPTEcyZSrqRncjWTWWJmwqW0QyqyI9llDfeFIrknlZHFKS66DnHOreNIZ9Cd4fnDPH8I3dNn0NoNIDx3kEt3Th/lgAstwdn0EJLCGgtXCsKoTTJCMogwAZtyxqqnG2iH7wEQucJfAAJnrjB60D5lRNjTY7QuNRx7We2w5zk6XeQ5tMbcPJotaEYYIo4gBaoVC+YjgbhuIaoy6uH6Lh+zXzNQ8PU7zxwRhVWSjugxqEJIMLNWzDlAiBuI6hRUICTJyHpEipdAntYropLixMcz9PUU+3CqRQpc79vxJG/32fmME24eLuIMLIKFr6KYygDA0bxpl2tfvFjfDIAzUWRo3b3FVFcQ5YSR/ZpEfYwWIUzogFstNOcZTI0GKgmIKAqsL5nhl3C0N1U50qKWj7aZuWbZNhaOkYUc4IUTkSweVHux/gX18Rb3lMKZTGKtiMvOXSwO5JklBIh1kEUpjX3kRbfdZm3Nhz772aViTp0vfu7rtmvddNut55o7kX3hwx97ymxe8hPvesXZ05x4cmTfPqvOJePjKxDirYtix1kvCYwdOwQA8SCiBsIatOLmJDcnOJsDBIIKwopjXshskp2QCKvWFWdDSDUACCqobUYyDNiIpCPuihEPuKo4KGeuBeHOJTKSvDWmF3VR/tObGnrQSKt8McsKC6cvnlk8gEiQiP3Fsp8I9wcWTdh/jbR3J5LUm89LQlJQhQjROsGzT/HcU+hMoTPFc0/z7P4zavCFlR5gVvG2ObfBO+ssKJS8Ul3rKXtafKMiBGnQcuUlGSQgQxvcTKqo1m2qoAxtPy+qDE9NYXLKfJH8qePcssOXp6cLFANnztfS05OdbyPLS79dHNtlWwaIIgCIqojriGvWLWd6AiuXA1EQL1MPpKF4NO8lcB9vbtmXSEY2A5cEjHkAuGLNRCRISPv/oEamx/Z0WuFdsbimcwSufmCwhs558kE0j6B1gucPo30SOkfeRjrXL4HjYhOdcXuCWye4PQHdZYNQLMPZZOk/gF7roYDb5r1TjUCliBT5MZMFtbMYWQqlQYS4Ysl34qo9xfP0FyWVWSliQBANDNDYOEig20aWInUFZ+FsFfO1+4aPBUFKG2U2oyZPbVOLIdljDLNtrU1jBzNbk4D71YGlRRsXWKiHqO8ZIwSStB5/Vrxz/XVvvstY1vz1P/7jB/sec/LjH/yUTQe48UffvPscn7X5dx/6K+PawpU/ee/SZczOQPTDH/mz79jt665bPsN2vTx2faKQXrqDjFwWKkNnyAqnouiptVIUivZWDpe0xQAMCsru7zHQvYfy16Fisss6NqkCPUy/TIEXtXQWLSvOmg5mC7fos51WCmjduYtZuRan06/qXCIS/T0ePYf5n3sJhszyGlQaQ0QlDU0p7qOkc+jRlja28GJ0gkn0y9E5DdU26EmzEpDKS0broFp27ELpEYFX8MrH2C2qrR6ENpGQjIfYoZG05nYb7TaOncD0jJqcyR48oI5OcruDqdN84hS05vmWPnSCcwWA59t6xhLSQnqk0yXhsItvwsP/FSFXo72V7GU5GFbhW0DNI0LIGESgkF3aE/met4U15otmeC928bZJGCJCkFCZyurMJxIAkYZbxRkIPMavFX0qBYMgQ3e5fYpbx9CZ4OYRnrifpx7k6Ud54n6ev4i5jrkzqU/dzzP7ePYpcA5mqK4B21FYsxGJsGKVPBGVb760Tz2/rJnx4gHUNiOsQpDLU9El6XRPGN1k1ArECYIQUqI2gKiCMEKZvOV1S38OMZJ1bfkKraA1K8V5bhMauh2kbtrv+r3LjS+r/6VIW67ibQCAwnpJU8qLlDz/nzq3L63ct9EAbYx0lqcewfxhbh5F+6SHGLm4ZV3oiVez+Dbe8K632FpeD7z/3b//xCKl+dSn3vvvP2PecnLnvW+/9BwfdPoTH7ZaIq1Ic7I6mfjCL739N+4zU5u48U0/slIS47oodhQNLBGp9IZQ4NJOTAEJ25yoXBE7s063Y9984c5saer5eaBZ0yXqqx7OkWLBCGI33ym0TqJ5EukcVIq8g7wDnRJAIiAKLL5bSFDAJMCasyZnc6xTG0KzSw7BHHwRSREK13qJ+ULAyzIxRCq0OMOjVzhvlv/Q6UbmVSfZl6PSKvHImo7yQzMrJs0656wN3QERVUYQ1iFjiMAC+UmiOmpVorDqOgOV1HGAh/ihcgj47pAgBBPyHLNz0My5yp86lj1wAACmp3nffj54iLNcHTiij0/q07P69LyenOVODikROE9J5BY2EiR9tbKQlRawhZ/YQAlrkCHArDKoHGx1RCKyPjC7vhbrt4foWqIbMPwX0q8ZxCgcLQQSAQUDFNatUrhwsS5srQXX8d5wWfoWAKN1HBYrcrGJSnnmQElj6T5ZWb5QJmSSvUzlD1MuwkLcPFflYvMmTJAMAGb+zC0NXhCCASlLFh5aBHM0Sp7l3zEgZiCpkNlf1lZBabV6wD6DN+A0RdqF0jw/h24HSvHMDBuUHvkjyOtaBdOkiDiokpA2w9pUjLQN7CVvt69qge3BrgjHRtLwWHFnEu1T3DzGpx+76BAv/YTWQ7FbHTy9/sZf+/e3mAmy+ZV//bLX//bnDjpXUHbiO3/yzn/x439leY4ve89v/fT2Pld48o/fcaeRV/3611a429GPf+gzxl0l73zXO1ejJX7nD3763/zGn/x/X3tsMl3wi5rd96U/+TevuO7u3/mhbfGWe//Tey5b6YLrRHfCKJLJdQatrBqXFyymRNEQRMAmV58LcleF0BBO5kgzzBxGMoAgQVS1gDnS0Bm3pyiI2OwRgaW70zm68yAqeZgAN249yIU5Hk1kTWRNxA2EVbCCUhCRSWj1nFYgyCIsR1qddzWueIo1EpvVqKFz1ik4IwoWhnEt7R+BFQQRVjF4uqe5Ow0ZQ6X2a0aDVN++4bTeIv4IAERCchHEJ2HD7n4QxHLEMCtl1ksKq6wzZPO2LxnOrfoma4QQgQPoHCJEMoishTy1JFtCIEvRbaFSA4A8tbw8AOKoWFRkPVHTTQCsPK+b2dbsfHXQcy3MtWSjRgHZyhNFtw29QW2WOrvOOaJH9PpsZAy/OFjf3GpD5AhNxMY/bDOFtYJukYgQFbXvhF0jTTza6Rv2XhZNlUHGIIA1a20jd+xC2KCSigKOOINg6QOL7+JB70o/es9AWQ4Fy50JqmzCxSaczfVU02Jbk9pnsizfgoysAmfIpAyhunEh51076lUKlSKogjw1iJ3jMwgRBA73SdA5osTh2PqR4BSam5CoVCmKbdaa5UkOkafWX1u0tmtLp7C2KhfPN6EBZkyd5moVtRrpDIIstqFom39bsgASBIKVoevTpWcasIa6XuytZxhwnuF27v/SV2IkXXdhnj9MYaMP7vmikvWoFbtaCpXL3vOR3/2H297z2dOAOvKPv3LXnl/ffuWVO+vp8Scffeq0s3iSG/7dn//q3r5r1vz+b3/5y/sAIN4xsfytHv/oh79mhkXy6lXSnJz87l984KN/8gEAIm6MjI6Ojo6ODMR5c/LwE08ca3rdvXrjv/vE77565Yqz69NRsiaRAJkiDoaaLgdJ6BSsoLuARNRA1KCoAZ2z7oIV4OYLQ1kXZOhmaM8AMxjcjiAp1wkw591ysvaxcQXqaIEuZKYDMz4DL6qYdxFW7fGclfaozu0oIkFksv/ArMqK5j33WHy/5fevWqwdyWcZou0rhgOFLBKFOQMJogXwzt57Ma9wc6MS+QHxbIbnchrcs5Za6blL3oZx2ukcgiACMoFLGaMyitYEAMiK51rzpvuC5pBkqSZYJn2yiygzKDAlTCAk4gZkF+0Z5CmIkKXIczTnEEZIM6gckBZvN9DA7DwE5JU79f1PcjcX1QQjQ5iaBnpeoc61CFyT0rysJ1ZScHlHl7yshulN94TVAEM5xATkKYkIQcJ523mjC7UsBFtDsqT5KnPDmaF83J9zfxa91w8Tm4tqVm1bY5cVtLR+PrfkE7M7EuTV7sPiu6DUO92N+h27QAhQ3XKMX0TiqyamvgcLgCESoygDsK9twWMXGawlac4cZIzuHLI2agFkZO1kewtP9TcXK/x2lkPAkUxp1fPafb+vQQIQIQihMwiBMIbO0VWQIVTOnY4+cEhceSmAvN1VM81ofLAs7cqMZpOiCDJElkJIBBVIQp4C2sMRgvswcBY9xJn0JpVHK5gsEy5C/8s66mxFFi4dnxdEWCNvIVqaXPdiECHWXj9eNcVxcNW7//rv597ylv/7s8dyAGruyCPfO+JfaOjFP//nf/vrt62sNK0g93/4I/eZrYE33vujZ8qnqbtzE0fnJo4+tfin6vPe/lt/9gc/d/NqOsFav+jOJE895CAsRCazAQBrV33Z5C7lZVygqEEJlPRyQA/eLvOChuVcTKWJaSYXuxbnpQpY9iRGe9qpfapkSzJ6J2zox/MTZNAOaSvDknxLd6EzZs3QYGXDsub6C2dSt+qVQPAzF/JWrDXFgpBvzi7mnjVSvuozvzUDWRP5ClnZ512MP4HsNwVBhBQkJjWEGttRGaEgIREQSZDpVwpAWZIEJtYZ26sZV5+RnuWtCGcH3q8OQtDtQOVgRp4jTaE1KhWMj2J4hMIwuuF5cvdWuWMThoYwNoow1M2Mc5shm0518mbRe13aLHl31Ko0A/wvy4WO5SXeGkVKxhTXEVYBQUEVMrF6m/1VQhpQLJHjdwTYVpoC/FW1h9yuX7cpD3XwVmbFhibXZHE6AhTLgcKweY49LV9iNu+Lr1p4rABCMPHkg3z6UT79OE89yNNPoKRS38DS158qXN6VqY5qOwMt8QWKSwF5F1kHWmH+GJqnwAphzXrZvezscqIolT1hp1ZD8+kbC3leOI/TR8q0Ks5yeykzaQtCEGK+hU5X738ane7Rv/vO/o9+wXzn7r5jnLuMiiyzFy86dhBblLZB3ZREJwBjCWXdDHxZIigKXka4Kh1LAQPMdRekvZ9/0RsX37JKWR+6k9XrMAO3/co/PfTND/9fb9m73cfjhKPXvvZnPvC5B7/xgXu2nrPqrr7yoT+zrCljb3vXG1bJc7z35z70e//h3W+760WXDCzqvUFj5wvvetev/fm3nrz/L37u5lXy4a2pwdo9zfOHAVjtza4Kgav/BQQR8rYJb3GeknE2kDcdk4BILOumDBDEFqAdRKXbX0Zg2BBDkFjLGwSd2ow/nUO1IRNbIto6Axiqg+ZJhIklecqUJZxTOZQqebkMdwNJ5twYryQCEgEQsMm24xzIIUJD9+BMw8I6LJTU3jXuLK09Wnp9OkchkhXOu4BaOmNcgIIl0yxWI62TiBqIBzdK7XYZ93FmFEKSwgZgIlzSfkCjcPTElBlBBSIglUJEiALOWtC5dUubZSOqo3vauqCkY3kII6Rde3/fz2S2hbC5AVIE28cskcRAAwMNPt1i7nCmQaQ6uerkqpkHA1EggE4bUYQkoUCyUmDGwBY0RjF3AgwkQyDn5pGxNa6YnfeOmXXRX4u3QCIAFLMCk9PnCKJiGywCQLPWEAGCCnQGGZXjnQs2Dcf5sjrhMrxqBwuBepdV87urT1802LiTzazCOSAtS1E55ozG4/AeZcBRo8zf73A6Q4N7EJ87k+g6CjcPuy24gj2FZ5QAcJGbQhLKkYCQC0GYnhBUSue62clA3gINAYSojryLrAvNEObFCpACAzqHLmz1oiCYD3xk66uG1tNz2fceEZVKcOUunpvnI4fpij0AVDeV5lwCFAPAfEs/fmD+/n1zR08/8B//YuurXhQencyOna7tvYKEwOQUGgPm6+vpGTE0aGMOViyNNuuUSLJJ89IMKFtljjVsbyjERoudbkcbgr5uJeH5g0inKRmEZsgI4Tm7ls6zEFZBJnzmVz2zomQ0fNO97//Evb/dOX300OFjE81geOuOnTvGaytOU5f/9Me/+Oo2AIjNL1jmuO6ud/7FF98MADR69UtXi0Qav/Gt773xre8FANWenjg1MTExMd2hysDQyJZLLhmrnPF7W0vFjtun3BZz3qIgAUnOc+Q5ZGAzmKIBZE1je7HOQILYK51JhCC2YAhuI6pYfEZYgQhBAcBQKYIICK1SFSRggDMb8AWsGWdmrrDiWIUBAxpLm6XVqxVU5oK8Cjp32RiFutYjRF7dbFYr5ejRWuh2pliQw7isrZCksOrV2+17jDiXWY/TaaTTaB2jxu4NUb49nSk1Kqt2LNLIfbcEeStW789kKnGxBgmKB6BSzttWezD1yJNRZC1kTUQVpF2oFFECEpifBRhhgrRtHbHdrkl94CznTIkkApHupKJm7T0dBjaKykxErDlvZ0wUA9AanQ7CAEQUBGBGtY64AZmgO4u4ASGQNqEyW0ws70JIige4O+2wWUXkSxevgcmHT7m9ZT8Rtm8LWebbWhyecXtrYgEw6xxCOhXNBleJAssjI0JibZnYKABUz/oLT3vo3du7k9z/rD+eoQiBA016XqKFYKmFFgvPP00bWbFTnZ5QrNO8fcPMn6PKrs6A1hajptnyhuZNgBDXYWAtfjCz2NQAsX2BzFAZ0jaiKoREt43YVSFTucdaDBAgBM+2AHS/dl+2/3BYCzA3TXFCO7fv+2+frm0Z3P6GWwGcfuzIYNXdUxAR2ocnDv75F/bccW12ZHL2M/PxZZuSrYM4coS2blWHT6T7jldefxeY8xMn5fg4opDK6dGq9SBCWIHWJGKQqTK84ty7zK/U8xovLK4knSk5OMMaDVy6UQzm1cmZeNfW95oiGd5xxfCOFcq3+lK/bO+dK6YsAKjuuunOXWfRokJkZWjzJUObLzm32hdr+qJVEXfTYM1Zm7Om5Y8wlcjBECHiIVRGrc9A58werUmBhwgSG4o15MNcRGcKIL+fiIeeXC1vmsumi4LB1Dwy6TRIMXXopGU2ytrI3VyZznnLt+rVyYrL+CO7iJPqPiES28iyif0OWJ2svkDZ2V18vacrnfPc0xc4kAEA4LztfDYEZqjcRTMX4NKcT8iRvDhCu75wLQDoKV5nOoMIEA9Y6FKUoDIAESCuYngc9QEImJxBNlTDnS5Y5ydmuvft090MwNzXH24++BQAZj74+QdUbmPxk0csdFe1UtXJynCVbQ5B52BCEKE2BhmAJOIBVEcBIEiQmPRSSfGIJe4uifhRFGgiCqigR+mHASBv6ujjDmHmInNTq9IycT4eEgGEJJPKIwLLm0ihHTLlKOtV4Lw4rre/uLunWyz+UiRRxpGXEJVtaJY7fxW3qWk5tGJT/9SaK15anT9ZFfhLGQCAjBANQlYgY1SHQQKVoRL9IoIeJb64grlLt2XZRrot6Bx5hk7TvPB8YiY7dMJA67RLpNVHT6qTE8xQDz+mvvyNya/+4MkP/9NTf/nF7tTswx/8x4lHjwJQXdU8NWeeQOVKKwVAt7rCAu3FAAAgAElEQVRqcg4AZuf4iSfyx5/iY8fbn/6cOjnZ+l9fa/7Pz1odtj3d53MLaY15GVvghGVIOPO5jqQN3a4JrdVaSdbi+SMrH7aRREix5n/O0GP3bJE1VRcKqrMivcDkbRXSJynJnmD/LjBDMCkOBUi82R8v4tOatC1ERh08rPY9ZfY+/od/depr3zf7v/XLf3Dyu48AaM81P/bTv/P09x4HgCzDxNPoNMFAnmHuCLK25We3uJ9yLjDUZmaEM3kcs2ZD92WV7GH+evaKTjcEG1PBzl9ob6bYyQJx9C4kYwQV467gvNNHxaGwUALLUlra40H1Y7jGxywk4qq9SxBa/SlNMdfk03N6rt3+yoOd+57s7D9++h++O/X3324/evjolx986JPfap6aa8+0Hv78D6eOTAKYPzXzxF9+jcFg6OkZbrZs8/K0hAP06XnOfUVEQeIQ6E7ZhcG/5gAbvyNZlr6FDkuDZrJbPjS2X+y1t2JEYesUxScCW47Z0BqTYyReMHBsAM58Nd3jdy+OcAYe+5rfKsGpBowxfwidSWTz6EyiO7OxiHvydh+V19RpBQBtyiF64A3PDJYFX4mPewkAIKigvhXJIIS0mFHDY2AuGy4uEOfStJnRbaM9D2a05pGlza/dP/Ppb+pWF8C+v/pSZ9b2ydnjM/bMTkd1Up3lBz72+W+88z/rNHv8b7/35GfuP/SNx9Jmx5JHgueOWXaPzilnmWvmLGeGPnys86l/zJ8+nj74xOx/+3h63wPozmP2hJuoi/fjW+PFvrNFKvuEPhtF+KIriLwuPHbr4AV8BsiaYuyCyDntiGTMZiE3FVRtutYSip0IwM73YDE0RCLk2jhaE2AF1UXrFJIRUNCT32oUR0HIO5ifQtZBXNXHj2f3/VA+cUDu2Dr93Yf2f/TTo7dcN3jNnonvP/qFd/7ayDWXYnRg+ujkR//39w9uHXnRPXtf+uN34NTTIEJjCEkF88cBoL4VMnLgJMtA6+PdqND32FvqjKtgQxl2G0Z45gCCmJJxRI0L1YYe75PHqdHPlLdf14RcDUk15y0QUcmXSxAEDi0iLWoAjLwLZqRzNoVNxgXAS+/fL/bsAQCN9MTpaNMQiBCXyX0UBQCgWZ2c4SwHc+uhg/M/PKC72eyRqe9/7CssBCv90Od+0BgbjGORz3fav/v3W2+7cnj7cDi/T+zaTiNDCEKkTUQ1gCAjqBRw4UiTrLCkoUFlHzb/JunMMwDcOwiYSICJwWQwEtAw22Tyx/037QV8eyCOXvjbw/gt59slx9xhmGvI6XlGERQBaTArUFBeU2eQYT8j1mtKwTKdzrGfRSFCauzaECgCgJvHSniHX0K3z/d0zyUDaAY0KIbW0DnJKkTA1sb2AJaueh5IIGsjiCEDqMyq/qpjs7/NldMUUWT6g4VpMiPtqOMT+en5U3/0qeT5lx799Hem6vEVd10fJNG3P/Gtl//sK8NqBKA2OjDdngTbbsjMJ35wkAQJIq00iIIwmNh3lKQY2DJ85JuP0Kb6yPMvAbh5cCJpWC3TMC7kxye69z0QXbEZnRmkTTQ2I3FZiHJNqjhtbDGRog2ncS4ltB4YOzznsesna/qi807p/JCOtp65LJ0uFhclZLtgmFwE4dW8AihIaGA71bdSUEHWxtwRzB22C1UZ/WRoF4botjA7QUgBqIOH069/N+YcjIlv3L/vv/8NaQVg6uEDk1+93/SFmWNTj335h645jNRzKXms+lykI/n0S/At437x2aWkb5zo2SA6RTrHs/svYJkK7pwuC2T1TIgrzA4Oi+a8bv5JJp5oIjXxIKrjECHyLjpTSJuARmUEYQW5xhOP8yOPQKn2E0+f+NDf57NNAO3HDrWePGEuPPH4YZXmxm+hc6t0CimC2Ln9HLnd3MTM3MQcgObhySf/xzebR6eQ5XrfQfXdBxAEyNpoTSFrgwRJk+QbkC2S0fuwPV4xD3zAffp8n7dUArxMpqFh1AtIxr7rjqm3XJ6t17L0W/fpx/r9XLqOikmgcK6LkGRik5rdb6y6UBn3uN/IKxmyNBpBZzx3cG0T0s9eVAsgIscOY95D8doBQC8CDhKEsFQdYRVRFUEFMiZbl0KU2LiyPFdxqrTMUDJC2LBZ0kIA4FMn+fhxE4Sf+8r95fsRAsyc5nPffkSlWXNq/v5PfOP7f/Ot9nTrK3/ypZNPnsim0+3XXmb4epJ6EjhiM1ks+cxgZs0nHz104GsPd+ba+//q60e+8MD8vhOT9x/oTjcBqE7WnbXJH3rWlVXVuV9/lkyCcPlIy/eoi05Mh9c8/Ti6U1Ad5K2N5V3uJ+tTeeJi0WvPq6yRx05nnM5w1oLOoDOQJBJkIOQq5TSzbK4LecB7p0tyWp35y+brEWTEQQVZE3CBs8XhniB2DhgSW0aL3SM7Ro8+ZMsHZZYMAARcd/3O++8/RIRTT5/SIhCFZy5IkHdAgOqATQkpBnJXyBW+b4G1JrtimVCUdnxvyyI5iF0e3zNmljkz4eZRSkYuzL1V2zp7DG5GRr1gygXi/VCklIJZK7su9nxnv/xaAKUMeS9MvYSowc0UAB98ig89nR48nZ2aOfwbH6u98HLMtdXkbD7bqlwydvzbT1CW77zlqqRemT86FTcqMg610pV6knczNqu6IK2ZgVamE1OiDGidnB3aPQ4A0NzuULUK1tY4sQhUglntpOzRTa1yYJxABbCBwRmL0E6axtW3oKvygn8sHB19tcDyRHL5TH3HC7s0TDOyluZM7j3L9170Ti8MRg6tPduSrW7XPz/DE51BtRFUlzvm/AhJIAMKij8CQCIoPamGDVtGAEhILoB3BUl1wS0lYxIBqy5kBOREEiJgzWCNrI28a1U6P/W1QOkJiVYbec5ZxrX66U9/S83OD7/6ZjXf7hw8YQhjgzCQgVRKsebOTAvA3KnZb/zpV6992bVbLtv6/FfffOLxQyLLVK5nTkwrpUd2jE0fmVSKAZaB1FoDUHkOQGfqyGfvn6jG1cHqxINPVzcPElHe7IhQBHGcPH8nshRhBKAMN9vX5W/7i8vFLrp8ENXmOVcfjyTVtuFCTa0rCWEjZMU+W2QNFDvuTPD0E2BVEF+BlcfjFZaTbA8EbYkxxrmD++iSQyFucHfGugPJm9bLPFZC1oUMQNCtVHWVjASImjOtnBEQAMwDBDQAIejuH7t1bOfYP3/98cFdW8XgIDodZF0kg6hvRTqLrAMZIG1ChkYDYEqdDle0nABmx6FAQjr1jnuPWeqt+Svrs0xYIZ1BWL8AKV0ytunSrB3UTK7qC5CgoAbVYVtJ1vFUl2qB159FWAIKbRwQNDBoUgyhtRQKgE7zue88GjWqQSVsP3Wq/dSpzqlZleWP/N13koFKvV5pT88HUaA1h3E4MDbQnm/nmYoJ3Vwrxadz1Wml26oRgObBU+ranbISgQRix51kfZOWRnjZntbzky23oTMmIjL2mPR4RtgqZD7czocxOYWDXVFO0hrLzekLtDpjHRkObWHH+4L2+1muJNzM0N9xThAuk6OfS2NF44oZ6SxMEvQFlLxdeqQEwQMWmr8AsnEM1QVJyJjAJjWNRMi6a9OWPY5p+38ZGlcuiZBZU9rkrA0hIEJkTcjYdGB99IQYHzRnasUCwPx8tv8IwLNffaDzxJFguK66XQ4DGYad2WZjtDF9YpqAsSu2tB49avzQTASisBLtuH7PiR88IYQY3T6apnlci0cuGTt99DQxVwcqzZkmA4IEwEppANqGTbh1YjqoREKK9sSsjMLBSzah1USFEVeovpWLyjf9Xb3PiMm2pElCz3Oy4vlDtGGZUAhiHZSw5xS7vnLOGrTq8PTjdiz5ELoC0UyEqFGGYEq+VvTX7dIWlMWeM+cOBE3U2ErxAGQImdi4rXHRGSM17UApw+zPp2c457ytVFc3p9sMTjVnzBlzEzgOTEoRBOKWO656z/ve8M53vxIAkgSNQVvxMB5EfbMFwqsMeccWqGbNfYl8GbQk01u/B/SzSZ4hFuQZC88+xZMP8fyR8xuVXsA+s4rjfRESYQ2yCgA6Z5shYYOAZDVFE2SkMsEws/jxuceeevpLDxtzIOvmOrd9RmVZMTsng1Wz9nTmOmZnnuZ5NwMQREFjpBFVIhKUhLIaBzkw0ckem2kf62Sk6dD/emDm8eNZUKXqoOETprDmXM5wkVAjy0ZXUcLrwY5c2zKGUM8plhSXvEioeclFYM5VoPcBzisvrl47SxVk0UxlslwNcaCM7IQA7vNlTaAc6Am5rnI5MAZp8zhPPYzWidWdsy7C3WkPwi+KDrYwvgzjcDW0f4JkRDICCRIRIMgU+S0PLsLV9iJEgnUGaHTn0J2FypE2kXd5fj7/1rf1zCyAdGr21LcfM8fLmgW9pcen2o8dAqCzPGu3s2anMVIb3josI3nt/3bz1a+6DoAI5Oa7byxuHw7WiUCCKrUYQJhEmy7bPLR1REiqDlaDUEZJGNcS0964nhR6TDhYNz1DZblIIjCj1USamzIqJCIS4VnOK1wCgTaq+H7oPmgG3sBVZdeHoPg5xa6PnKtix93pnvS0vGMB2mBmxWAwU5BQMkxBhWRMJBzTAbysUrhZhsAaWQudGaRtc03WGaBAEpVRauygMLHRLguIZugcwsWSVE5VE0QA57o2WC349kNDZA90MzU91TRDgufmS0ZvE+01I6cnmdEv41O6JoopkhfGttBv29vXn83h2SaMzgQ3j5+/G6quDcICWA0yo58KUq6LPQuA2yr0J2M3yxCs0Z1B1p7+5vcOfumhJz59X3ty/sQDT08em8yzHEDeSY3qBsa2a3eb1SuoxvUX7DKrV1CLRWC9xVE1LhStKJQg6io92ckIrLr5xA8OTj4+AQBBhLDBJn/CMhGS08OKHuhCbLblKB2oHrNDzytY/D56PX2lu9qwwpIgy1tk6s24cwpY3hLvfYn9y0qP53UBxoNIxhCRjVr6aL+FLe8Vf1wzc/MY0tk+h50fMUgAq84KMiYuSQDsJiheXOakeFKSXhK0PaiY5di3eYpjTHI0GFmLjx2E0vlXv60eeeLoX39x3ye+3jw8CaB7ZFK6onYqLYrYGmcq6kPVHdfsjIdqV9997Ut+6uXXvGnvyK3XxNfuBiC3jQ2/6iZmgEgOVIsOSZIASCmqjUoQh1KK2kAtqsSVgVoQRUSQtXjTj+wVgQSBhOAi/KodpY50vtUlWaiWFr/SzwYV32/db0CqhWXkN46QlGv/Z9UU6M8qOWePXQ+DCVlkj/FSMEMrG6wUAaIGwgoAkCCS7Bec9qXYr9LCq+cfwn6bgwLwKxDZCFQwOihGDTs5dtxweTI2YJT6a+7eK5PIbLe3X2mneMUIvCpJWlmPWpAgrNrd2lu4ETgcPRkoIeACsD3R1eUXJ7fcPjNCA+ci5zORwvRVkhBRD/HhklJ8IPIUoHIqYQ9aUOYg+DqTQbUzI++o+XnWfPTbT37n//nHk/c/nTbTEwdOnjp4CozuzHx3pqmVqo0PXXHH9fVNg8M3XrHtX95Ve8EuACMvu2H7j7/cXH/XO15W2TpiGnPNXdeZLqc0Y9R28vSpw16D3NLeo8aJcmdPVSWTVWr4ukBwALueKcIbhz1otuJ3XrztoZs9VXgZ9kRf7zwz6R9+czeUnuba9/QCRNGLOPSP6E6feavWSIqkHyckAzJIOGXo2RWJkIQr+VroNP0+ivkHEZGIISQYjsJQI27YGczEQIzZbXyuuVKP7Zv/3qOqk933nz/18Ic+33z0aNSoyCgAePbktErNRSgetpnvOrf50Vuu3nbV628CkNxwef0Nt1ZvvmropdeN3XMrSbHpx14+9IoXmTjt4LWXFO2TSQgiEpRUYyKQpKAS1S7bGm0eGv/RW8ORRv2OG8XYZnd0fPbu//5q3MWg2y0Uhupy81g/4q0LL+tDd/KsX0P7yTkrdn4431dT+sPpqNjuUbR9uyqql2dxEaXyRh570NGwavAfAJDEtkZ1FFTvuV3u2AQg2bP1jj987+ZbrhZhsPuuvW//69/cc9fe+uaR0dv3irvfSLsvF9t3IIwRxZAhggSsoDNbeTasIhlG1LA13bWjVyBJIiRjFDoHpGubH+xbqcM91yEBcM7No+hOnY9pNEjO/KUb/dvzeIFKdjdWUC4NvKgmjLLiMLyCvIPP31VclIwHjjntpAY8lHfTrN0FUBsfuPzO6y592fWyGu/8P+/Z86vvHPkX146+9Norf/UdW15/y8jeq170G/due+UNtR2jN73zzr1vfYkI5Oarduz+P15LlRhAcuXl5DwurPIeLp5lpATrFCYHQAGJyOHbzBUKBVf0VNvsi5U8J6ZfT+88o7P6fN8z6lfLvy7qSfw/n6Iz7kz0CwsUQQNHohkkFNYgItbKQUeWiifYHQTj9tOscja5FwNbIEM+PcknTphTJr/7mM5N/S8EcWASVye+v58zTULEg/WgWmGlZ4+d7s52gko0tHtLEEUAKnu2YXjQ3tbldMuhmhiug2j0NXuv+J2frV2/Z/hVe8fecme8a+v4y64dvuEyAEGjMvqqGx13KEhaJEBQjQHE28e2/uQrhl/1YoQxRrchqWF8Z1mZuscbu1IHYAXknoOz2L9RJ+jlqZJ1hvZJh3rfWEKS1vzPGdOdzD7+D3/0vne84oYrd47V4srwtj0vuP3NP/87/+P7p87tdU188E5ajdz5wYnz0cJzTZ6goMouGY1kxMbp1SusMjIEpAxWKVluCImgBuVYVYuLBFUmiXQeOgdrk2Pr0DPmP13U0gER4gZ0bv3P1bqpKSmiuPYjd3AnRZ6SxO0f+BnWmmrDiCuv//1fBICoARL04tvBGu1JkEBQZP6zu75ppATn1s9v3JCLB5WfjlcS3D0nq5P2KQbQOkmDly9RwHuNJJ13qTnwCqlR/29aiB83t5sCMiYJzprMGVROFEBERBFIseraTmu8JmEVaQvgobF40w2Xnvz+ARB233H1wa88asyZ6u7xzqFJACrNICW0AkPPGlQAorEBAABXdoxVdoxxrmSVn/fue5ArzM7e9OZbrr37hZ0c0aahS3/lbXP//Hh8422OYzYDMfKWrS1h69guSPhYRUflwiPtvxC2YcHSBxZYUIRFd4FZkUpL5mEsqvCxHmKTt/y1fI3uaFWTNk89jGiQGjvPZ+oPZ02TslNECbxWuYzX0mfsqmOzYqXIZv6yb1cvobk6l2pQweAOOnyI2y08/RSGRk78zZfnRmtb917ODGpnRfpa1unG9QpgIQpa6fmJ2WiwTlJsuv6y+eNTQ3fdKHZv58ee5Habtm0t895sdjYosE7ixi3Pb1x/KR8+sumu62t7tmgpGy+6Mp+cm/r6QyN3vzisJ9Of/x4A1AfKpzf1lMMQQ+MIK8wKeZNE5H0aBrRd5niJydl0S87thF90oQ09i4sVmqe6aE+gunnZg86z0PqUFFv9d+ITX/7Ne9/5H//x6TJa3Tq2f/rY/oe+/qn/+lu3/sIff+y33nTZBc2QWrMWnus6yuksVA4hIYgppKjBeZe04p7IN7PKbFE/1qxSEJGISEYQDZPGxXZJACQoSBAkgDbTGVhDCFBcwpiMjsfsqJUCC7lTme8joSSClui2YUIJOgO8hMHC31CQuPq2uGbIYvYTXj6dLkvEiqKeppck+Jxed3aiutw8So1LVj7ybIWzOWgNYvvhCKAABHAGCpb1XvvWvPeBBUEzmJlz59wKQK5gsbIAdsQ1aEWzs1e/4/bRq7dPPXpkywsvqW1qPPXFRzgItrzmRSc+8/320xPV659XeeXN7X/6Goho02YEEfIUAIKgrBgWRci6YCCwrY1rSRzFAGQlHnrptdi6DQTDNMR5h3WGLAMFJCOwYe1B+RSlow69qpsonehESygBi6WoqskuAVMhVyQCiNCWlz0fY8Mvr4zlVHb/lMXPaF4OL3LkAEhneA40sPvc2nlWwor96DYzScmKAbaATgCAlwhcnIjeZ/Q/N3sc8mXlaJYSRNzt5vv261Z3vtU9MPmDymiDgKHNgzOnZoNItiZm4loFBNZeTEUYtJxobB9Ldowjjujaq2l2DiPDJV1oUkGnbakHpZtIXRWy2mWbUauBsPlNtw7ffo3cPC5qVQgx++UfDL3lNWifxvQEiLg+Tui6x2H7vXQG6Sl2rB3VFYO5j+lI8JwLhaFykU/iBM5bG+sZaF0yWGnVX2ruG++7+9W/dX+n/6964pu/+5aXT37ym3/6xq1r1rgzlDVs4Rpp0Fohz423jIIEUY0WmrPMrF1lIZND58B5JNizQT3cklcgVXux2qUCNLXx4hIWzAdARkgG3X4PKSWi8tmr4zaeS8KSKgMkBZUFE/26tLKk4IJwCkERA6KLfka4gJLNr+/1rT2gbdq1WQNUBgZUbivILXdu7wZ8z1AZ7SJ/5XAmBkSAMCBBm2+87Oq3305EA9tHrvuJl1z/r14qArn1npu2v+XWkZe/MHjepdW3vS58wRXRVXswshmVOohQqSKpgAhC0PhOG/cXAYZsuXoKowIMQGm7vKv1z/lFtxycnBfABhZJwSHsPYb/s7et+2hF3gFe2uZ5GxpLaDDLyVKAP+r/YzpzPkNdtFTNHgAgkiFkaDkHDGBAegpK3xlpAe7OFh/jchQwU6VierisJsY3lrfS1vFpAEk92bR7vDFcT+fb0wePZ63u7LHJYokdfv1LywAZO3Dn0IDdiBNUqiBCpYIgQBQhjGwj6yNUqRUzsHnv0figrFdEIIbvvnnXb/5MMDxIW3fR1l0Y20EDY3aqDyrFuOv53uyeUOeAsmN/4YdbAkV6UQsvUSzxwoqgdfmzGpn99M++yelMwSWved+fffXxE3Pt5sSB737yt3/8GkNSqQ9+9B3v+OPDy11mZZFv/RQvI1/6mbHz0cJzVewoGvDUr7Ib+Y7ssl64h5thVoUbzCTk92tdUd/Qc5KTKHF1HnqEqmMY2AYZgASSISSDlnB4eAcGtyKuI0oAaVFTMjQM7BARRIDaVtQ2IRm1RBWBAdcLg6UjcrjyorB0Aasv9tunO4dX+ZysM3P6ImPD3tX9zUs2gNkU4nR1xN3/tdVpiGSp31BAhV3hxwQ37bC3EkSGWAeAsneMNw2Gg1UActNI8rK9YvMoZIChcWzeDRKIEzQGUB9EENK2PRgaQ61OoyM0OgoZYHQzRrcbdlYOQzawP2ZPozojBociokfe/LAMpke719K7LJaD9/yPCk+bOYOVegFEz38P/SRrn0XLzk64fdIZn+il2nfmBDzLUwiAKIhIOEaY4qdC+ujqzpDWOThH3sbwKBqDANSpmYHtlvZWugp4RCQDCaA7357afzRtdoz9G44NDtz5ouTlN1Mg5ciQ2L7Na+mCj0GIYoQhiBBXEIZIqrjiaoorIMKmrZDWwUwuMc6Zz4Thcdq6CwAqI6iOIRkGBY5Pe7Fl5b+qRcO8pPKh9Z6CzqvkTZ56BO2TF7odpZCgtf+zqulF/+D9v/xx8ybokn/1ye98+tf/5e1XbKon1dHdN735lz7+rS+874WmX7e++Kv/4R+a6/gOzlMLz9ljJyMautLGLXyWBLsKmpvIck0tOaWIVWb9c8xkAOkkyLrEnAPMlCMzpSwocFl7EjJGoQ46NzzVxmnT82n8KhAhqqG2CdVhEKE2itHdqAwDbv4ylbMtZwpAhKBS+vn8fFUiFr5D0R/5a2veLetBeTZIwf22PsIz+zlzI6IM1njflPs6n3quYT8Ts4NdFnEcOHoFjbCOsEHW/HAXf94NGN8OALVB8dK7wQARDY/ToC2UQrnuuY/da3qssWeMr07S4DjVBwFgaIh278LgMOIKtlyK8R1Iqkhnkc6zSstVv6Sgw6Kw42JX5Bn2QmKwhs5Rlh8ls+7D1q4IPO1Zn4mKeS5S0LusOO+fJW8Zz+7j048hW/9VgBVURpAkI6KwSChmnZfpAj3iJk/hdB07bVKBVPEjp54Hy70rrZGnIKKdl9Luy9Vsd+SanY0doyAau+aSxGW8Dj5/Z3ENEdlqdcn2TQDCqy+tvvOe5NW3Io5RG7B9OC9utKAEkdkXQkgkVVx3I111LaKQBkcQxqgPYXDclbL1lLbiqwWxrZNBAVFEEK6bFURa5m0swcMAOIJVE8ldmH3cIxfZFG04euZWPvC8yHoodqtSYfLP//4fPWQ+3Zaf/MP/+obNCyaFxt5f+8gvvcBsH//Y7//1+acCXOsWrkEolurbxJYX08AuxCNlFiEzoMAOTC0CKgsUmjKypt55zqrL2hwTkqG8stctgpuyjDQVFKPG+dejcrkJWoaeve4tloE3KfgsLT1gZOdQ9KBUVNThWfToq31HqxWvAO6zTqiXOmfthTun0ZpA6ySnTcDErQSDwcrqduQtcj2RWV/l6pdg6OGLDGsohRXEwxYPyhogUEC3vppueTW94Ga65DJ5z9to1+Xiymvw/L0Y2wYQRjeXBa98bouoUkaUCvHLLtvrC8Q1d3YXeas8oLB/+rW4vOPy+s1Sp5fJgwtTFoiE0+3I2809/HDrKKvERXCpr5uzVi+qy7MHoNeZOazwpRXoFCIQkc5ZK6g2mJfM5Cgwgl5JX1PQ0IpKoWxRCkfGzoDHKV2tI8uFpE3X7d79yuuiemVoz9bG9tHqtpEtr7yutnMMQGXH6MjtdtXJpizVn6hVxPgIAMQJhscgJFgjz6E1Ao/suk89D0K1BgBBQEPDNLIJIsDwNlQGUB0up+uw6p3gbRUo0hIfSdYtZ7XDJVa9IqtdL+W3Y9DF59LjdOZCN8GJWIc/qxiv6kuf/J+TZvPKn/rXr631OUS+8D0/9zKjIGSf/+TfnW9WozVv4Rph7MI6De6h+nYA1lC23EgM1iWM1/cckD8Y/Vm+H5yOi+JdJhLhjvdTNNKWXTaA3hCScDevoGI5wCCCwolIEOW2TIz2SWYqdAkWFNRMspWtwH2WPFvLSukxuSCeghUAACAASURBVPjmjrUQhk6Rt9ZxyZcRAM7a6M4ALoxuUwhz5gzaxFszsGKdc95hnYO5zOwBc4k38FIByMcEeJ+v7J9u56bt2LQTAG3aIl9+D11+DaKEXnAL3f56DI06hEBk88HNTcMKoipACOOy01UaSBwxUDLg3b1wS/jKaOGSRK9nrkgH0WCA1XLuCtblguergP0xr73Y/IW7N5pz2oTnfMfVKkc3gxXWndyOEA2W2+UGA8wq52x+UXsJcBAC11LvR98mMcizFnSG7izSljuyXDZpbMygTGRoKo+J+vbxsRfuIUG73vqSba+5YfPr9m598+2NF+wCMP6W19myPeg1P4w6ZXij/J1C2BqvYaXkRvYtfHukRG0YYWJNfVPo2bjZ/Nm4/8zsVgEbolkxnXlZj12RZXKxTNTrbDCvXi5UKPb+L3zBcozseO3rrlvi+M33vO4ms5V94fNfPc/z05q3cE3Tj6N6OahEUHq8dL81xtvuiQwVnMYA+etH1mbTQVlD23WUQCQTG73VbW5OcN6Gzi0RHaxpa201khQPUmMHqmMIqhCSRAQZGOcfiZAMnayIKKi6sKBXSUlGFFTcwrkOSRLPZV0APP0ETz6I1rrgQqzhAeONK8KUhXPX9hhbkcl4lVSX8zYAZs2csc4BZtUBZ6yzQgFgL3WUlSpju9RL9O9u6bXJDcAgKEtikGNn0MquglEVtVGr3hmUJwVobEVjE6IaKsOoDFnHdpDYFVQEXsaP/xr6qlye121Jd4X5VXkLGwNc4l/ZG90kPa+5f3uPrHiDSE/zziomq5ZIY1s7ofp2hI2F9/W9dH0abrqmdjaJKvLVqM9hDNW18fTuLNI2SCCsmskzfPENCCSIxNCgGB4yQ8YMFxI0fO2u+pXbRSwv+/k3Xf6+tw3f9RIkIwirIIHKmNXVSKDqitNzYVE4fYskghhhYutqwABpLEQBUem/oALHXKDiREAmtx2Fb7I4ui/f2zJTt/Aa1k8W294rgzcuvFBQWfmg8yMXJnmi+9BD+81WeMstNy552LbbbrOcDM2HHjq4Js+7Wln7Fq6pYqdS6G75TxcSZcCwcwEA5zClwe3ymYO1b9ITAJVDpdC5H+ACGHmbs3nOu3b50YpNcr6MrHrHOTrT3DrpYE/cGzgzIYaAIod/IlAPnA4uLoN1CLOuRp7T7QDW3DqG9oo0jmcsNHoN1bcBgIy8jlpO9L7x11MvofzbaW+6SP0hb7XRNoVC5zBhMiEQVmyti7InkodnD8uPXoSWiCBdldVSVYJXNMIsaoTKEIZ32Iyf2hiSEYcWTewCCQkQFxVje59iiWTzJRaqUvfzfH7szi3gCiWKzjFN0oKLLLt2nn85d+975zRPPbwePbYUkjR4GQ1e4XsTKUg8Y2DpR7DeX+24CBigkh/eD3qYsmzMVgUUElEDQUUMDcU/+ka5+5Jw703Jq+8wWM/ghhtt3gOAwHbX2qVbRBKDBJIRNLZBECqjiBuIGhjegbgKALVha6JggTXrDJIwgQhQGcLANiSDiGpOOww4arju6XddzyyxwEphtcYSBuC7jZfu4SYTbslYbd/Xu8EVO4HKUnmY51sukMfu8Ucfta6iS/bsWYbgbc+ePXbr0UcfPeuH5Ac+/FM/cstVO0ZrcVwb3rzzeTe/5id+4Tc/9q1jywA21r6Fa8oHa7Aaqmuphg17SBl8yc2UAmbAOYcNFK9ctNxem6JIC1cBe7xttk+MxSIGCtNZ2wua6YwEAGZFBTWrz9RV6HzmEaSLI+Rt9LF1GLxu2a+rp419pgt3TtGaz0ckaNtt1Dmt5w9zNgtuQwRgEAWAMRLMIqcBQIZQ2noXSDq3hwA5xYU9L53/zcjAe4okWYmwUjIDAyBJRi0zPZMq0CmzprgGgNM5kjGqYzzzNFghakCGyFoAKKpy3nZc/MLd24ODCmE9fGUKOQBB1qHo9C1DV8twxMUm6CbLJvUX0Rus5IWPXo4pdvv79WSz9G6o1dCiO3o+o6OoXd1g1Bk3jxCwvotoEJcf0fwVD3De6cmTVRkL0S8B3HRaMx8GIAlBxBoUQmpWKYRAXEdnER6LAIYYHY5f+yrzfavvemv2wGPhDddjZgc/+M8gYMflOPWUJb7285FNP48aNmay5Rq0pqzVwceRtRE3HLAPKKq+sjs5qiKqAiblTpIIEVSYFdImwkbZ30j2gA3sJCrs5zPYPuODp8B5qXnpL7vMF3fd3lx5o6t0AMwn2BjVVMkWAl7jq678cJOTFr6Gbdu2LXPcpm3bAqOaNKemUiBa5tilRT/8d//9YfeP9GRr+uThx7/7mY//3q/+2zt/4YN/+p9+ZFefy659C9fUY1eoRH7uW+/03pvEYn/oSTXtSWXwzixTJrmkLNIZ25rHjLBa5kx5NMVQrlwMM+dtNwWQFywuLDyTaNZmzqFzzttI59hUji/EMl+4OFT5Z63kOa0OAOAlda6xJMNUHQMA1lCpVePMsmFQlSSNo4tETCIkA8e07HHCEREDMiyhmR4AnEoEj9/1FzsMnN+OCDK24ZK4QfUtSIYgYxq6DNXNlAwiHkI8CBEiGkBlzFo1ZrEEejK44RMuknfDRW+yF/0AaBAcEdrS0HIT/+qhRlsQVvYW9eVlw3Vz6pkMi9X/DPog8XpTS/BidYTI0DaVh+TIu2x8sQvBZwvOdBhiGVNYhYgR1W2hWJLlBL4oV13Ua/FtN0IIDI/TbXfR9XsRVzB+CcIYw9tKnNzCChmwBAUGLTCwDYM7IQKENYgIIkJYuPF8SHxpNrBBP4d1qm6iqEpFLTtRZtd5zjb/4zmnncHRmryKs5tdaHG4dsN15R4h2ji1xdYlK3Zlj938vCNIrVaryx1YrTpHTnnKmkl2/Evvf+MNd73/h32AG2vfwjX12AUVJkFWc9Iezb3xc5hNAeXYv4Iqm5JiZKpWK+OqKys9mPVSpwAoSJgkDJxFRCABpcAZsnnIhE0F6GQYeRc6dbnrbgznqUuhJc6aMMl6FnsLsLKuRADIDF2+oyLPoDOIqKxgS4WhdgEjts8CKWKR6yAUDXE51/v3cX6mYh0qfMOQhbVAMmFWBIKMwDnZnEQqOHRIMbMmIqbAkDsSBcwwvbrH37u4mhm5USMkVYatiyWqI6pDSEKEegLkAFFYYa0IMLm9BGYIogS6y6xsjS9WgKE7KTwN8uwn+p4gcj/9TwYWhLcOtYPOq1Cx8K/eQ88232XdHCTcOtFf0/R7kZl+VZt1QEEMIR3bogQy2PO1NbDJuU5JEmkGIx5APID2aUCDCUIiiE1xIBB5nadQ+wLUBqEzxDVs2YOoBiIEIZQCSUuFA8Ar41P6vWRgLxsmlnYqSKAzlIjVYl3QgIeUIDIfhewINcwJvr7lMq+X+xb6LP0ahbpsHb0bewnQiicfQmWcahesoIITSn7xj/x/q/0/zP72g2d2DSmT9/6+v0NPHV/hFG63He4mipb1wiVJAswBQKvVAkaWO3ahULzl+tf+1OvvuuPWG593ydYtW7ZuGpSdmRMHHvj25/7mw3/woX860AaA01/55de++5pHPvS6HsDsOrRwbUOxKVSHSRJJBkzZLrPwANLEsFhrW0MTht+uzjojcj4zYrLQOjN0BRkvAjNAplCSWYyJAgQB5wxuc95B3kGQQIYIYiC2dWZt/MtQ5Wko97isqWdtK2NqRNKmbpRRGGad9R+76xeTfU6WDAiuhQQVGryMZ/eDQTIoeIbBRZSf+q+gRetc9Kekwik5KQAZEWtmTTZko0EBEYGzorCyMXWYdRk1K2wGH2DQo3UymcMQGhahwnVNNuglQASZkDFpCGDiAnhkrisCsBkUjtDRPm9xGwXIs+3YtL7Vfs+fUKnb9VRCW3YhF8H6hr18ChtfOAfC0oqGT5lk+NuMARMCmnTOUL1YNEZft24xBMIKRGBTjjRsWFNn1vDuM1QJMihhDAa7ZkDVIAhhwZ0UuJz04lUDMrRBcKOZCQkIWypGRK7iMPqUp+vxVZOtMwH0BGr7nnhOclEsAIz2SYgAlfGVj13PZnR/790LdtGZFhljveAi4tJr5Z7rlzuFKpUYpvJcmqbA0i6xTsd50yqVM004Gb33//3BvQv2RWO7rn/Zrutf9mM/+/N/+dOv+cmPPZkBfOQjv/hf3vva/3i9H+tY+xau6fLJZuTnbBKsAGjNWtsUB1MWfcEqSEQychMEgYRL9TLVV/sWfPTgTD4Hkl91x59ey5VGF4qYV7jMg0OByxbCYJPtbUrHvq1OU7TqohjYF6Hk3XVlE6DqFjF2AzUuA0nI0Cw/rHXJ99ET31z+K/eL2BmbxODYTHyTCCIimbgILdn+ZIwQEFg4d15JO0JlZgYo6/qRqSVaUvxKrhl+aNhR8xeF0k3DCOUQYFVCYJ/V0i/WtjysqvDrr5P0/eg2KyIDGNC9schis3gEwQQws87shGlK9fSE5rlPJo0M7UQqAsgIRFCZLTUkhCu9gyUWFOcdFGUqK4gQREgGrf4XVor3TLQAgmnT4+ylyCvMbe/a96M4TKHOSk88nL7omvusEeLu1AVugVv21/zPSlKvu3HZai1hGrmfXTGZRmNhDvo5SeXyt3/073/jxcYZx499/C+/t94tXFPFLqh6zHPlqkx+BpMfo+lHrEDCL1+xxDTKqRub5JUX88BGQYUCO1OQrJBNqiJIS19HXtkZcosrW79gAhHaMhiyAhmTB++z4V2dQec9BJjPyRoLrzv9UlCh+hbbZ4RkCgAwK1YZF5S/KOhFigLBhTPNDy15O/t22j47faIVzQXKDZIZDM22lgNBBhCSLHyqbV3RBRiO+uPqVqKX853N/397dx5l213Xef/z3XufoYZbd8odM0EC3EhQCCJGEQzEdiCYBwjdLaAYH5e6pMGGpU3bCEIL+ARZoj6AtoJLEKI9gAMSwoNNkAYJYCMBoQ2BgLmE5Ga+U03nnL2/zx97OPtUnRpu3To1/O77te6Ck6pz9tlVtc/en/0bvr9q/8vveqaso+XWJz032OJMX54BhhttB7Q1h57LywSTdpSleVFomdnA2Lh6Dipvbqtp3VFSX1xH3uuPP7Z+1araEVUeLWmnaETM+1LyETLlmJvhLXnV/DBLLEosGbPxfdYYt8ak4nbxhGR8SPaq32h5FdHyn6P80A18yob+Laz4XW2HMiXrypWOuIz2aoyi1snK1969e8vKOffcc88yz7v/nnuKU97Enj1rmzmxtOjIL77yOUUj252f+tRg//H67+H6nols2DTSvDRdVUKpXOVGKuqeLNqIxa18Nr4v0VLiWerZnBe1xCLFTcWJ4kTKh9NGskjJmLV2WXNKUaRkzJo7rTGZd0xY3ByY5J9v09Oq3L9FSdWIaFEyEEbrU+u3S4HKbSnuj8IeIas+AvWphf1bkX6jrNU+LPUYt2CDVQ08DRT7HX4IxdX2Byr+lHviZU+sFSNE5VnPu9NK5yVT1ChX1atVW6yaD6OkdpDXL9tVehvc7YHfyeAzMcCXKE5rSudGO1B9bF9ZqbiWSxb9Hc3M+is3Vl8vxwwuzGeLHpc1pBQnAzMn4lY/li1e/S8qP7CZq1ivrFzpIW7Z0HuP4lkNtXfKZHHDGhOWTChqKJmQIotrC90OvYAXs0lqf5Fq3t7Aj7+48XXLj41bd25++u7NjXcjKXeycmfuY48cKQ6Go3feuczd6p133lk8uuyyy9bhx11g4oorHlc8PHZsMNit/x6ub1dsprRbNLMvGGuSdpXOu3ddWTlxoSEzed4sseAsaYqalozV29UWv5mq9QCsHMlRvNrKqY61qa82+FGvXbR8qcZcG3b9HigZxZVvZGxDgkVvxrvTxRijfKRmbuCth+5G/RhY9GRPlfXKwUPVlaZ6YVR1TllZmn+gyaR211FraYn6G+k3ddfi5uLD2BJVM4SK4qtWDkUfbFkcyKBbozjCVrT8AenqzvhDX/ZTR0d2y2c29SjbeaniVtXm5Nl8bXhcvft1cfLzYjhK8Seu1ZCvXx29aglOag1skczUnFCUWNK09q7iiLLGsAOmPOAtljUsShQ1zZKyCXTpK3E50dXipjV3KmpbcW43WaM61H1oeh4or1je2xTddeU7RrXGdTvXzt6p5h/y41/V6OtpL2kkLXYrBrv25Zdfkj/qfuYzn1/yafd8+tNH80cTj3/8xevy8w4aNow1t/57OIq+AytHxQ5wz5T2yps5s3rpyPrKmINbGv4GUW28efVGWe0mbKDyar0CZ/WpVnVvXV9SzAcGVA3tCMiLKkULv4j15anS2ZWfdpZv0p2W3HtzSrvqzSk9re60vOfFrIKyk6t/jayP4yyvUANLF9jQh8V/Vy/plw6JLGkrblrxkbGi+a1oHRkcIZeMyav39WHvsviWY9jx7OVQQvd+33GWKst/0qicabjNZ7auv2GttovNP+Kn7x7hXjTK8ThVeTbP3LPyFqPsxKyf6waZIosa5Vk0/3bcH9PSWNQa139lrOaEN8ZlsU0csOaE2lMWl2Uai6E4pnr7t5VvESXFkOgolkXWLym3xN1ymcHMrFhbqH+2L3tLlhyHUP5f1ZJd9KpHxdx2s9Fc+7Y2lzzz6Xs3593NLIrW/d8qVp7Qk66+uujqvPvDN31piXR134du+t/5o8azfugZI7i0z9x229eKhwcOHBjxHq7rwW2RFo4CWfTu9Zutfp/sgqvjSmodDdaYLG/yYit6piRpcFWx2prTReHi/PLWK4rSWZQPqlMUFT25+WCRgbOJ9f9FDcWtrVL4MVijv6UuJ9+49+SpMqk3q7njRcker3rbM6m8iBZjK71WKqLWaDfQw1O1N6/wgwxMjLXiumhxuxgmVSxebhY31ZiwqKGoNpO3PpgpGtpvFS36yuLnqPgxi+tlPk6Lw3uRejG/ZcwfH+04jbiaN1dNecmKborq4BwwdG/rg0Rl1rC4bVEzrwMsyaoJExrWsxlFau20qCmLrDGpZMySliVjxa8obpfz5OqvKwOXRYrKNeiqednF8xf0vSxQ1Rfurx4+eH4e/Mn6e1AbU2HJOpeD2F5605v21pvTYqf4qudfW1QGueOdv/PhYT9/+sW3v+3j+W178qzn//iudfyhc9lXf/93P1Q0VTz6aU9bUHtm3fdwne9aoqlHVxdLG9pUlnWVztWuSdUl7YzexyxuKW7l8xmtOWWNKcVjssjilsVtK2b4p2XdE1MUFycpq98gumprQ5nFViwnYIN35+dao/1WYIpHvsShNXdUh2u9TseQvp7+ZLp8DZVMeZdWf1HU/IKq/oqTUXl410497r2VOpLq+1d/ZJIsSlQsWOzK0mJ+iUVljVbrdz/VRdWQ9npX1LCGxnOuf2pNVm7L9Lz65qjef+JgrX138c3zogFk/dblYYMp+18ohnJa0rbWTk/aFsX5ghAWtVQOG1g0YNQkFRPUotiak9YYy8sdmMWyRv0Nam+6OHpWl4Ny0pLXKxV7+Yb9dx8YqFDcdNc+jEv9mEt87Vyx3ACnEb/zCFrsVlUwJbn65b94ef68Y+956cs+eN+C09ypz77u+t/6cv744E++/F/vXucffO7rf379c179ufyUYI990U98z6j3cL2bo5Ox6Lwn2o6Lbey8fBBv2d5QtkaYPO1697R3p6WsbBtorLTdISxvz89Fcf94HTKXrf+iFTbqWb/tcOHoY2yk0V4aCxZHu46UxVHL2dOqX/8WpZ8y3dW+tvgCWY4xzUeU1w5vywuA5SXB6pef4isL3r2+zfr0ivo3FiQ263/i+qKixJpVUcDKq7gVc2yrLjmcPRs2vWAdxW3bdUTNKVlsUTv/2/nABXvxia4MSUXn+xJnwtrZLy9ibBZbo6UotihR3DJrmFWtuVbUwdbgQVscfpHipi2oa1itG1Z8KGzha4vvFiWIZXExH64/j9WqbLd4HeLitdWPWV8XjpEzuebUpr31JrXYSfEVr3rzi/dLkvzou6976jWved+nvnb/6fmZh+/6/F++5cVXPutNt+VXm/GrXv8b10wM2cJtv/oYy7V/8q8WfvOut/3YkR943s+9+nfee9Mn/+GLt3/j7gdOzPZ686cfOvqlv/vvb/2lH7v8u1703q938+ceeslvv+rJi/f57PdwwAjCe5TYxCF55g98Qf0bxWrkRHV1zNx7li+CXvyY3v+cr/DXsmFJqz7GzssCxQumzVf3c4Nb6y8GWtVJz09PSTn+j5PChuvN9BepG53mjui8J3v3lI5/Xa2dSuct63pepitKFEmKpUzuns5blirJd6knL1dAH77YQO2YWZDDPG8RTC1plV/JR7l1y7bkerNx9TovBthJVbnv4uurvGLlBZDz61zxiqh/Zxcla6/FjwWSiZGfMZIx23mpP3K7NG82pqxbBPq8RM7QNx961lz4nNrdS7U6sFfRKFacnxvjovpdPkEtX3G4OhSXOybzBcRdJllSLCDeLyY/mMO8fvYux0VEseKmZfk8vGSwLt2CH6+/35JxFs/ZJpYpjkdw37jKRW6mrnnHX/zql37ohi/NSb2jN7/pp25+0+JNXfSSG//sFy48833w+Qfu+PvP3/H3f/WuFZ64+wd/6yN/8OPDk/W67uHIzuMWqbW734rQv0ol/QITeX9Wrj5Vpzd7Bi1kw6oEu/e8N+dZZ9EpZkHOK7eQn56i8tYwK2tv5g2K0QbU3cAiGzbGyyJr7sxbrSxu54PTXZlnnbKWXiSLzDPPut6d8bTjmXu+jITk2bDeVc98WB0+H1p5pN/dVMW1Rc0Y+QWsH+/ysj6qFlwqRgGeFVLddpM3tebVSfJIFDXKOsBrFhddt1Ft5sEQtVFxcau4i86Pz/7IuSWqUfYn2zaKF+ZDV22JMpD1N81FDYva5aYWNdvYkEekukLW3ax33qRyJ4Wpp/3mR29+449eOLx70PZe+Yr/ccu7njuyhdfaF/3oaz5020f/w3ctPcJoHfdwhN3tNnWxn3TNPyKZRbGy1CWLYiUT6s6599zi2hWtq7SrpCkzZR11ehY1FSVLr1C04BO7qFi5XGnX1VXSHligov6E8s37X6wXPa/uI7EphtVEHKHWbs3cJ6k8DBZ0MJVjLj1VmhYTVL1bfDvrudL+quSSlBbzG6KkvvScydzqyw0vPisNVqzoz220WuOEiqGiLilVXoIxP3S9V073WfZ8x0VupDZq2XVr7vJuNdK6PKctddZy6y84tkIrbzUdJ1H99ntl5SFaldTxVL6o+tWCV+T/572iv7g/6a16XFu6d+CVC3Jnvam7GvOKQSMdJLC8USwhfQbXaDtw1a/d/OUX3PTeP7nx/R/53B3fuvfB6WT3oQsueeLVz3vh9de/4Mn71tqU8Khf+ujXnn7rp2+99dZb/+Gfvv7t+x988MEHHz7Va07u3HXeBUee9JQrn3HNC1/8nCfsWXH767aHtnRtlb43vvGNr33tay+66KK77rprldvtSzvqnPDT36recehfwrun+2fDfktGYmtbpcdT75wuthE1yu4zDVwapf7jevLLK5BJRSUnbBLbcZFa6z2KdRme+fE71DmlYuRAPsewa/FY3i7iWTf/riTFrcEpqK68A6w6kLJevyh30i6vlPlkHbln5nnHRD5IvPh6ub3a7If6Ui7VRMt+k0y9RaR2EYviIQsZuzSk8DLWm0mtvTZ5wca8m5++W3MP5Q/zM6eb29Cxkv2ViGuLhlUpatGzz+wIqWfZ/jUlq6W0xvA0WW9Aqt+QDD3y63NmOYDXoDllU4/enLfuzKR/8u/Xfat2/mXRc3553Te73Y0+uMRNtffo9N3L966axVV/lkWR54XoPB16enFPbfl+unw8eDFnsHbnF8X9hQGiuDxlDL5BlJRLYlixajVXwc3gvTnbyHtLi2z3ZeqcVG/WooYs9tn7ffqY946rOWVxyyzyuF2MGfCsGo1uFucZzms1e7zWIuxeLaFS/l99XrarVsfRio27K7JiK0WHV9nVlbdt9MeeR9W07tpbDhtl1W/2YNToKLlsA8en2+QFGtun3qyi2DunNPugejMeNcsydYtnyA7GOKtudxec5c7kEClOpFF/BGd/eFw1EnT4qXxgXN2K71k9k9lsa2KNdV0D9UzFI2ixG0Ur4Pa3IS1SFitqlJMcfXgXZxGnMkmKJ6QZZalMA5/1smfKsp57x+LmUi387l4UovTMo8Tqo4ktLguP5R0E8ZASD5bIVN5uelm1lSvhhrKNWFJskeZUNWvMWjs1f8LnZjT3iMtsfK8lLcWJp71yxZQorypnWb4knSvrFmP1ai3hlnnVgOKeFXP66te5gc5ZFZfDzBUl5eFnqpZXyTtevSuLioKrbvKsqGmS3xH1A6bKpT+levLDSKVz0gbOPcxrP+WX7fZef+ALyjpSUpTFqZrBqr+/Dx4hxf8ODkd2l616Mk1x9GbyfFkLl1K5FMVKy06S4efPWiOiouI+Z+GN9BIj/LAWm7gMpo2mK5YjYYgNCXbFGKCouFwpK+8P6x9gs6jl+UjwKLZoh7KeD4xzGnzsqfdmJVljyAS0sm8sklWrBC84U/QHPS19juBCuKmizRsLUmlO9fu5siwvXGexeS9v003liSRFiSlR1vEsVdoxi1xV9dS8ASPLbzOUdRQ3pcizzExlobuoPzgpn12Yq8bYDbR2VE19abFEUr/r1hTVXi4VI/AyL6Yx9pv9MFKbd7GpFhrOemZZMUiuWGjBhmWspYfQ5QMSVtNf0T9TlncmRRkUU9woa3ovuxGvDnKXLyqV59GmJpJw+OwDyno2fmBzyo+PItjRYjfMxgS7qh3CFJU1gV2Lm8GsqFrkkilKrP9aDZ48+q/yrDdkbkTe1ZWPOPHU1vhj1vpw1e96w8bw7qk1jrBcPzb1KJ/+trKOMqlzWu2dUtnAZpLMvWdaGEC9vupAcbXKyion8rRjiswsX7zCLTIlik1ZKs9kiVROdLW4HOo3cAdU61Edth2M1QAAIABJREFUNjx8ceXhvKesWK9llZWfsDpDS3s0Nu+4zdeN6A0ux1f1hC7Y1Xxw53KzaFfZIVsPXgvmNJiGzF0rDazfXa97Nfi+UVQe8xy6ZyfrafYB783azks34d1H0hXLITHEhqTdKKnNxKm39tdXdB1WBkIa2maWr2OzYGMLn2ON8vRyNn/4qCyDbsX9K60dGyOfHL3p4mZ06Pts4gIlTe+c8vlTcvfuvLrlhTPreVqO/k6H7nDtgLHqwpXl4908v7LmNzlRQ3nvs8XFfHBTf4GBumKogIbOQxo02LmGddcvN1N9xfuztTZDtOuxeee7Kxt6/lwoS4dN460GwKziLauK3GsYjhyXkyri+mykxW+xaD0VrFn3tLqnVn7auouikfzDIhs069MmL/ST3ygrTEbFSCCpP94uLxWRn1/qQ+u8V9RVqn/aTZaMe9oxDa0Nmz/HzFquTH52f/iiuKUXfQQMO98Y7jb6JcVWJW7b3ss1vdePfVbzx71zsuhmmp9WlChuKJ2WtxQ1vDsji9VoD9wv5et95ZNel4xW1UFVNUvXj/YFx1vesJGs6lC0WvHthSOoOIzXhQ/Ofcnkrt7cRhfrqUvGo31X+NxDSudlkeaPK5tf4lCpd/oPfsei4mdZ5WFSdfQv3P6KrzdFjXIgaVx2DXNwjlhvVhs/kYIxdhtlo8p5NCZs1xGfe0jpjDqnFVVLxHh/5mkUy+PamI/qHJGWI2qrIej5SWDlwfVWTNQ6awPD7ch2oxc11N6z2TvRZ62pchxAJvXK1Vq7eZk6TztKO0WP53xXUUON4rpuypdwjZVl5qnns7DzYUO1AQVnsi/VMKbVHYRRIkXKFsxYyj9l3OyukwWNdst0Pm4Mi21sf/F44rBm7vOiRuOCpw32kyw8oNZw8qy/YPFMjWVeV/Xesqjdhtj4Q9RGNMaOa/EQG1inLW7axCFlXX/4/0jlgPGqQHmxMqCKuVF9ZaSqn3dW9adc3/hVz5ocSaNkkRqTNnF46drUmyEZtx0X+amjRfNtdQhkvSGTPIZ2bEVxOQzJ5V47zK14iUW1KilLH2NZ98xPysM6LPLJHyuWMsbyLFqY6pLxrXXoatl6nFGiLC0nz1bW9+S5xNaKVrr1ex+sksWb0Fwnyp1snA0/AUUNNSbUnVn4afe07HLVQPuYxfJ6CdYq5K10Pliy8OZa9ftkMTpme5+wNaOG7XuiGuN+6qjSeSXjxbpz6UyxGJ1n6kyrOSFJnirt5eudu3dNSfkTDb12Vt1h9fmJSx7hnnbNM0XNpY/tpa7KSxQSoy/jbFgs10Dl500p07O8xviS37JIcVTOnJWkYtjJBh0VXh6VHIQbqLFJ9x6buFbsOWYT/rq24yI/eZd6M1J+Wswkd+8pnbekXY6Zq2bmR1Kj3xt7ZmeBWg2wddt7TkCjFDe37ineItt9xHYfKf7TU80+lN17q7onFbXkmdKOOlLSkpk6p9TaoShRZ9qzXlGxNor6cwdX7NwfGs/yid5ZqmzW4mSJijBexjUrywxZ+UUtmodx5r8HLFCsMV2eaoaujrq5knGN7dPsA5IWHHmFhc11rmrMwNpV9y1LbKS/cB/H4UbarOaJEdWxI9gNsRmxPWrarseqN6vOcZ+5P//DmHruqXenJVNjzCzpf9bNpGoaICeAoG2j9lCLNXZe0ROXzhfdr/lgu7iluKG5E0Wx1vl5780pGbO4aVFTnrq5KVLRXpF52rEi0fYvcZ51LWoW/bT9ssb9Ejye+fBzmpcxrmjerg1azQPfNvolbxu1DLSJa3EuzSYOqzHpnRPyTN5VZ3rpp1arErs8HmHkovdjc2zerO2tMMbu5B0fvvHdN77/5n+441vfvn+6uffw+Zc88ern/cT1L7nuijWvFavu8W9+8bO3fuYfvvClf/rK7V//l6N33/vgidNzWXPHrj0HLvnOp3zfM699yfXPu2LfckNo/u5lB5/5jmEDYQcd+HcfP/b2q1Z82uaNBUnGFMWauT//L+9PbnXL0rwb64x5fZLsoq6us1IvrUS4HJlsXt7bNkv0WmTj+336voVDlKpBV1k5HTUPfGP78gWIiwPIZDJ3yTNP581ij2KryiV6V1mmuCVZVdZYkqKm0vmFezLQo7r4gPeBZw7+DGv5wVEY0tZkrV2bsisra0711zpL5/zUXerNDXnaQBWqs29MW64kVe1opNVuw5i1923OO29yi53f94n/52de8p9vPtqvSzVz7zeO3/uNr/z9X779hu97xR+974bnXbKWSSXH/vA5l7z87xd/vXf8gZnjD9z91c/efOPv/vqjn/u6P/4vr3rmgY0pMbcRb7LkmzermY8WJVb1+vtai4xnPaVzxct9ve8I8w1WDSEYkW11H2/7nqTWzvxhOadhsAMrqt0F9uti1DeRf8u9KNCvsrHEPet5d9p7M5I87cg78tSiREmrqKLS11O11oUvUb1s2XoXWKtFJ4QhU2e2nri9irUHRl92JG+BZjWUjbSJw0BHUsdutYfoqU+/+kd+9Nfqqa4ue/DWt77gWT/3V/eu3087aO6bf/WffvhpP/OBb2/Ikb7J/dM2cYGNH1TckEVKxhW3FcWeL5G5Bu7uqfdmvZickY8UYS2a7SNKNr9UxBmJW9EFz4gOP832XxFdeJVdeJXtfJSSdv8AjpJq3TD3spSx97yqZuz9y6cNNJbUB7NLkmfFwWyWWDI2sOBKXug468l7kqtfmbbaeL24Se2CzdiG9eSS+xYcYzfU0Ep7AwFro46N4t6G8u8bZjN+zzaaYLfKFruTN730eTd8MW+hTi76sVf/6SfvuO/U7PSD3/yHD7z5RY/PJxdld73nxS/+o7vX/iOOX/C9/+aVN7zrLz/xT/9y3yMznc70Q//yhY/84X/40YuLIN27809/+vo/Orr8Rp74hn/2pa2mH1abHuxkpvEDtvvxNnmhJIublkxY1FjjOcWqlWe8vwh7UVX4bHe0v0ucfEZncR3/bcA0dp7tuEhje23ioB36XsV55Cq7R6NYUUNxQ555b86952lXvTlP5yW32gzEWqOdBnupykfZUr+c/IOc1Zqr67c0Vi4mFtXqmxDp1mbo57/fbmebWJr4TNjY/iFTI22JxxuEc+uomZLxTfvsb1qLXXbbW/7jjfmwL7vo+g987qY3/dQPPHb/ZHt876Oe8vxX3fiZW179pDx7zXz8db/+4aXHny7BJi79oZf+vx/52n1HP/Pf3voff/a5z3jCxft3jTUa43suftKP/Pxv3fzFT7zuqcUqg9P/8w2/fevoD/PNDnaVxnocbcVqmJJG0BSR9xpwNRwp94XLXG5D1tpdPPJaFYzyS0o7ynqSqzfn8ye9mv1tkSRP55V1PeuW/f4qZrGVaxaXDUK+xApmqtVP8UVftMF/FIM9cwNjPBadDhqTqsaxbXFRw3Y9Tu29g32y9RJUG7YrnFVHrWyYMLOJ8zdvL2wk/1bU+9jb/uAr+eF88Kd//+3XHljwmh3f+xt/8qon5I+Pve9t73/kDH+uAz/znr99x8t/5DGTS+zLzitff+Nrn1pEk2/ffPM/neH2z9yWCXZR0yYO5w89Sz3rLv/04cwsaVvckEWWL7hpi5YjOysmRfRejdb2n75ue76jPwCuGnFVH51ZP4SyBQPv3LOe0l7tVeqPK3BX1lE6n39GvDfrXlWXNUnuvf46touHfxVfTWtPwBky1Tq7y2UGLVEypvEDNnXJdoopUcMmL1g44qq/PPGGHR6matI3RiFpqzmpsX22+8hmLmQ8klS38jGT/t0HPvhQ/vBxP/fKZ08MeUr8pJe9/Jl5+3X3Yx/4m+Pr+EPnHvOC655YPDx6dIXO2HWwlS6iY+fZrsdpbL+SttKO92aVzp95x5wpaloyVut72iZTLCFT3NjcBdTXR2MiOv8q23GRWrustdvae4t1Vqq4lnX7V81ebR3Pqqe1frJaNPDIPVXWkSTP1JtTb16SLJYlcnfvefe0px33TFmvNpa/3E7WIdKdrfpUKpdNXmi7jtj4oW15WxItKB5p/f569w1MdyyCMio2ftCmLrGJw4o2s3q2RdEI/q18zHzxllsezB9d8OxrvmuJ5x94zjVPyR91b/nYJ9f/qN+9u+zHiUdRp3mBLRZ6kjFLxhQlPn9cnrlnssjW+Vy5oAwKp5ItI4ptx6MC+Ys0xm3fE6ufxDzz+z/v848onZfFysr1kS1Slqozq0Zbnqk7o+Z4fsx7v9RtrdSO15d8tXIAaVb7lcXF09I5WVuWFCvYFq0ynq/s7ulc0aRNb+zZixI1Jzd7J9bOWru8c2KJb1bHXhCfynNT1NwawwPWdaWA/lZX3Ob8V77yjfxR48orv3vJpx3+/u+/SJ85Kmn6K1+5Sz/+qHXawZx/9at3FA8vvfTSdd30MFvx/tJauxSVBYrT3jq3Lnimqncr627DofohSsZtx8W2+zIlS699tK1ZpMZk0f6RF7fLu1bz6JZ1NH9S3WnJ1Z1Wd9blFiWKG5aPf6pa8qrJJWaWtKq052WznNUqRdmQMXaqrtDu6foU5jjnJjMOXp/ihk1dsorSIVtYa5eNH1p4gaRXNBhbpxV5JLNiVzxQ77j99uJEd9Glly7TlNUPXLfffvs6/LR1nY+9+8+L6baPu/bHH7fcU+/76BtedPWTHn1gZ7vZnjrv8CXf9Yzrfv7V77jp9pNncpbdYi12uagR7b4sO/41pfNSprSrxlh5OVwXaX8EtPfkeTfWdj41b3fNHdqyZV3XiU0c9lPfqrUTL/qYVssreU9ppsjNYsWx0qyoZpI/x3uSFQNJk5aynnuqdM7jluUL9EUN5UNUrayH0l+LT/XhU55ltXP+mivE5vNw43MpCphMNn5QjR0qRn1sc+P7rb1H6ZwsVm/aZx9Q2lGUFDcezqSxrWegGv8ybLDg5aYaycoTK27zoYeKAXY6fPjwMs/bf/hwIvUkTT/8cEdav17rzj++4RV/fI8kafI5r375dy775GOf/LM/Lx/PP3TvqYfu/eY/ffIv3nnDf3r8T/zme97xsqfsXu7FpS0Z7CQ1p6L9T1Z3Rp6pMS6LlXX95DdHNmXynGpy2HJsS67CtM5aO+287/SH/1lZtxhyV7QWl4nKIqloTjbvSLWxhgtDV/laixQ3LZ13T5XO5y+VxYpiKS1P6OU668V6Ym5R4t4rF6vIimZ7z4at2rIK+Qpm+YSMc2g8a6T23m1Wc3F5UaJoUpKSMWufVxwDnRM+90jRTpyv7r1xWItiaUVVo2wVswfcmjs3ZJ9WYST3fitu8/Tp08Wj8fFle4TGx8ekU9VL9qzDzknSIx97xQtv+EpPkiaf/oa3/tSBNW3FT/2fP3/593/utvd/6l3XHlzx2Vv5RGxq1OavRA01JlYR7IadDvKbm/p3XDJTtYrmmQa71d4tYTXMu9P9EiHhsolDNn5A3dOySMmYT9+rzinFLVnDZ+5Rb6aYYOFZXujO8kLH3WklY0UzW1bENfe0fywvbjEy1QbP1boOi/H+ZtZwZTIrOnnzxZ28pyiRS8rOYCR71fjoWo8VqLaJuBFUqhvCJKm5sx8LenM+fbeK2u8bg2HQy8tXf17+SmQaO2+Ddmcl0Xf/bP0//cRRv/N/ntkmLIquuH7gK3MrzWD12dlyCcZmc9lWuHa7XQS7mZmZdQp2nX/+nete8Ad39CTpvGv/8M9f8dglWhjjqUue/hMvfPYzf+B7vuvS8w8ePHhw73g6/eDdt3/hkzff+F9+/799/sFMUvfOP/6J517+hVtfeWSFD8VWDnYL2dgBnz+urCer2gkGeap0TvH4wjuDtCMzRa3+VcgGX+7RmZw9vHgvrXa6NZblQxY/DZVF1UBmm7yg/+WpC/2B23z+EcUNyZV21Z32bF6WKEvVnVHclKwogBfFskRZLy8wa2k6vGZulpVD7oYtadqPg1n/o5D18n7GsjVxNUNYYlmvlu1W81vY/vI/xLny00qSkrZsrWsCrcYK6x2j5gyW2XVl3c2dDFvJvvDuhV8682EMCzZiOy+0XRcv9wIbG2tJ85LU6XSkpRvt5ubKtZPHxtalynjvG+9+4b/65Y8fl6TJp7zub973oqVrCD79Nz/9vxZ+bdfhI1cePnLlNf/3L/3iG6+79nWfOC5p9rP/+dX/9foPvHD5hpBtNTokSmzXEY3tUzKh5g6bPN/GD5YrdUqSe+pp17sn1ZuW9yvhudzTrndPe3e6GOvtmbJqSNOad+isXoyS6Vzoil1RY3JwGJyU9oom6qKsyZzkynrqdSR373k2r6zn3lNWzWCoV8jrDFnHoh7UBiZPDFnoYlWHt0mWlAWWV1xMOZjPy7l4Rzf6RTWWrvyMAVXlP63wu7JoCzUtb0p1Yk1OlnPWZ2aWHU4wM1N2CO7YseOsflBJ6n3zvS965s/+xbdd0viTXvWhj77+yrVuNNr79F//4Ht/+lD+Xyf+5sabTq70ijW+02aJEps4bDsfY1OPVvs8jR+wyYtrw8LzWg/uaVdpP9j1Gyc8Gzh19LuozmhubG0ocTDXqU1l7fUazrCN2Y4LynraGqxpUqllL3fJ8luWsgnZi3uV4ikuuadzSrvuabnaWD7erti4px33Xvn0rPbKrL6R1e191bbnKxU/28KfGV/1Mq/Nsz/xb0Nj6zGscJm52AOremB5JovkK13B2+dtlZRsUmQj+beCvXv3Fo/uueeeZZ53/z33FJ//iT17zrKJs/eNP33RVdf/j6OZpPZ3vvKDf/vmHzzLsUZTz/nlnzuSP+x+6lOfW+HZ2y3YLWam1s7i2I3iagaQZ93+Wplxs8pwXl8WbO3T2ari7FvjM7N9RU2bujjYKidnJG5H+55srd2ySEnbGuVtZnX7MdDYVr8VGXaf0R9WVxUMcnkmq1Ywk/J1ydK5/DnuqeepLkvLbJctWhhDkoqSyMtZ/vK8VS/eLmW9IgEvI25v5rpMm8gS2/VYtfcobihureX8mc/vXtWNNCfYFS3VZFWsHqax/Tax8kD7jbM5S4o99siR4kA9euedy9y63XnnncWjyy677Gx+zO6d7/63V/1Mkeou/6W//thbr16PYY5PuOJJxV3ViWPH5pZ/7nYaY7cUm7zAPVXnlCRLJpR1vDcnd+/NWGuPsq48tmRc6bx7akWjSFZUOYnyqYhnevoYTa3Fc4zteiyRbkBj0s6rlTXuzXr3tMUtRbGf+rbSOSXjSjs+d78s7s/g6feB1qf19Ktwm/uw62NUzJX1TFlXUUPyfmtKlrqyfLSdUpdFtUXSMs86lkpRa2F74sAwqeVt4QFqnhWTixewSGP7LG737yTPQVHDJi8sHnuquYc9nZOZ5k8Vq6GswCUp65VH1Ln6axypsfNsbF+/FuzWMZLCQCv+jO3LL79Ef/N1Sd3PfObz+rffO/xp93z608VSXxOPf/yyo/aW1bnjnf/mWb/w1992Sa3Hv+wvb/m9H9635o0N8tU3Z4cQ7GSxTV2idE5pR3FLccuynrJONZfQT9+tuUeUjFntJcXxYCbFW+34PydYTKpbQb4QiyTJdveLWpq+I7v3VrkXFRmVH89lW4hLUSSLzeRZWkQ3dzOT5FnP8gxXdOWU5fFU23zZwuflTAp5Wk2zzc8unnaUdixuK6765rycprfKqUhbL9v1p1QNO4M2Jmx8K7V/bDqLNbav+BNOuLrTynqKzGceLKptD3lJ+cAz+eCJN5/Qdsb32KgzmdmWLcSzOStP6ElXX733hq8/JOnuD9/0pbd+79BVxe770E3/O3/UeNYPPWONOzr/z39w3bP+3U3HXFLrspf+xS1v+9H9a9vSEF++7YtFe+PUgQMrLLy5/btiK3FbzaliGH6UKBlXld2Sia3b+3OusvH1O+LPOaakJS0KZMUNcVbM2bTI4kZeylieKsvcM8ndu54PqrO4HIId9TcV9QudWL3LrHyCDTRl1Xo2+iMAs5UTm/uWHE1VjnF0W9RdaDa+tgJU5whTY1KtXWrstJ2Xamzv8GetkNuohHx2kpZNXbJ156JtTles4quef20xivuOd/7Oh6eHPCX94tvf9vH8ZJY86/k/vqZq+XNfedv/ddVL81TXvOwXP/Dxtz97Hc8YJz/02+/6av6w8bSnPXWFZwcU7JbR3q3GNl7MMTRRYhOHNUawWzubyEulLCj6Ux+Et2gNsWL+RD7OqVtMFLBEUbM+odUssrhpUSxZuexY3rTWH6tnUdHS7/UReAtKKK/0E+SvP4P5GRvArAi77T02dtDG9ytuyWI1Jm3npUomVt4Cckt1upkpahRDWRjNsn5s93fY3ifYriMDxV+3Fivmzq/zv1UcRcnVL//Fy/PnHXvPS1/2wfsWnHFOffZ11//Wl/PHB3/y5f96DfMc5r78e9c+85f+v/slqXnkFz5wyzuuObhux3f20KfecO1PvaeY+bHj2S96zko1p8+NYCeznZfY5IVq7VZ7j+24yHZcrLH93B1uPBs/ZHsu19h6DTs4R9n4Adt5qeJEyueaJVKeS6oJ4P25h6toBlk0odUSixrKSwjlKbCYWJBKmaJGGQflvdn+MhjlxFhf1XArlW+6xT6HccumHqXJQxo/ZLsvs71PsJ2XbuHr5VZkjaVnDZspbigKYhTQFtHarbi5DWrmjyLYrSrDxFe86s0vzlsS/Oi7r3vqNa9536e+dv/p+ZmH7/r8X77lxVc+60235Wes8ate/xvXDPuo3/arj7Fc+yf/auE35778u9c+6xV/+4AkNR/3c+//+B8859AZndRufvl3PPmHX/yKN/7hBz526z9+5Wt3HXv4dKfXnTlx7I7P3vTHr3/xU7/jB3/9E0Uh5tb3/PoNL1qxisS58+kytffUy2pYa5d3TpxDpXG3iMaoS2GdK2z8oI0fLFdVce+cUNaxZNx7s5p7UJ4pGVdvRt0ZRWaWeH6o5/MbFs6jrQ8uyyw/V9qw9r+ym9WiWIo9nZdn3puRRZaMy+KirkqWejanuDHYb1uftGv5crXFm28lDBJYB41Jje/XzP1LP2OL/dW3qbx1efzQZu/H6oxkrdjVHUhT17zjL371Sz90w5fmpN7Rm9/0Uze/afGmLnrJjX/2CxcOefUKPvX21+epTlLnjndee/idyz79iW/459teMzDvNj31rS/87e1f+Ns/+73l36hx6c/+97/+5ctW/jWeO8FuCGvv8el71/LKrMeUrrVoTGqZW3msQTEx1qxVjAuxxuRAg2gxJdasN+PdacVNs4bP3a+0o7ihNPX54/JMcVvZvNyV9hTnQ81McVNpR5Kb+mu11Lp/zayYqVWNSLOo/GamdN6jhi01jjuvrbpVumFNckUNG9uv9lZZgmlbs/FDau5S95QkT+c1/8iWHFW5TZlaO23i/G12GdqkyRO5qaf95kdvnrz+Jf/5I9/qLv6u7b3y3//R+37ruVs2Ike7r3jJDe/6nZ9/8qrG/53TwU5j+5Wlmn2guFLFraJYf9Qor3O9YjHNBTxTmhVTa7d+A/gGM5M1itoHcVtRpN68LFZrikmFm6A68SXjVk5Dtsaj+t+X5JksUtbxzmmZWTKu+eOezpolyno+94BkUiLlI+rKKRqSrCHvlBWS8xVmZf1sJ1vuWm7V/2y+qGG7j4ymHMM5LBlTMqb8jzxxWL05RbG6p332QWUdWVwsYbdl0v32YCZXWdBkWxnJ52v127QDV/3azV9+wU3v/ZMb3/+Rz93xrXsfnE52H7rgkide/bwXXn/9C568b9Mu5c9+xx1f/OlP33rrrZ/+zD/efvTYAw8++OCDx+dsbGrXngOXPOG7n/r9/+r5P/mCp1+0+t4uW01plDe+8Y2vfe1rL7roorvuuuts9n6L8kzpvKJy2Ee/Epg0e//wJr202z8ZxVtiGb4twibPV2uPLCqqvJJ6g+An/0WdE+XCFYPzHjzLl6+wqFm0HxTD8jJJGmixW3Cq2SKZTpLU3ltfuhcbpHPC509KqdKeesNmK6Iuz8Bx2yYOb7+1T9JO9tX/uu5btYmDdvEPr/tmt7vtFvlHwSLV10CsZ5Gl5tJWBcCkgXJcZ1CgNVDNnf0KGghGUUBhcNWWvHKeRWb5vY2XDTB5ZeNItkyyt9qDwQUz1qv5pjFhzSnFbe+cVG+maF/vTpcdglF/ZZpk3Ca2bBdM0Jo7rVlO8OvNqTcti7w7o/mH6LddzHY+RvHYNj61jmLPt+9vY5QIdstKxmtDgOtji+JigSZJmStSv3xDcUnblN3dbK2dW7QwJs6Otfd4PiFj8MvDglh//F35hMGvD/ynqTmluGmSd04q6yhqlnNvVWx8rVHPWnvU3iPJmlO1t3Vl84qakmv+hLKukraaKxUPwAZI2krakqy1W5OHlXYUJZp/xOcekXflUjZkaNQ5w9SY2PYFdzZn5YlzEcFuBTZ+SI0p75yU3BoTihrqzsgiNXcoS9Wb9lNH5S7zYpafu5T1K52Goz543orWjiiRZ0Wcbe+2icObuocYmbhlU4/203cXs8jzBc0kRaZsUewa+EJWLlkxLKCZ2dSjiofVweOZerNSpnhM3VPenZaZRQ3vnFRvVpbIlE/pqG1nwbZNcUutYaOMzRSXRdvbKxYNwGaxopG4fZ5Vc1k6J717SpJ68/mcjG3DrFjGZXX3KDZ1sRTLez5zv9I5WaTWrm3fqGy02G0cgt0qNCasXsWqWggraihpa+aY0u7CjoO8rP8aVX272ZYoNNjebc2dSibUm5a7knFFidJZKVLSlkxZV5YEF2QxqDFpuy+T96RIFqk7rd6sokQW+9xDSucVN5V11TlVzCjKepKUpYqjJdr2NLxItUX9onGt3dYqqoVa/cnpnNKu4pa85/Mn5KklTe/OqXtakppTNn6QM35omlP9xtd0XumcFHn3tOYekqdF33p/heQzZeXN+epEjXy+0aoS29g+a5+nKNbsw945riyVUqVDGyBNjXE1yxkF2JY0AAAMZUlEQVTurd3VnKTtz0YT7LjuDEGwO1s2ftBPHS27jaxMeF7LZ8MKRSzgWdGB65mynuJEiuQu3/y6KtbeV4xBrPdY1TsF6H49d1h5xmhMVPHL6uO43eWpokTpvDqnJCkZ984J9WYVRabIOyfy+Uk2tk9rXqQrbpcNb83+VN8Vlk9EQOJW3qRnzR2aOCRPZZHmHvL5k5Ir655xgdKkraghd/VOrzy8L0psz+MlyVPNPeS9OZmpc1pD63JbbK1y8dax82ys3gA5LTP1ZopPiqRkzHZcNPjyMFKdJFrsNg7B7qy195pFPnOf0jlFLUsmPJtX1lUybsmEp7Nyt8aErOHpjMysuVOeqjvrM9V82/w8kslVTCbNb+byQzZv+bDG5qS7uJUPfAFWxawIf3FLY8WaldYY739feRlIzjxYP3n3yEC/7Sn1ZiTz3ow6J1bewPihYp5p1lHndD4TyGcfqE2Ss/Je3fvDBizW2P5q6py6p5X1ZJHPPqDutCQlYzZx/vDKCQMNkB2lc4oaA9P4wsMYu43C6XU91DqMNHigDT6uDfpp7NDcA0VoGyz5WltMvTbH1jajWzZq2I6L+eRgnZHqMGrNHXlQM0lZN5+K4XMPa/64vJcX5el3sLR296uHRM1q8KWN71fakcXqTfvsA0rnFbdsbN8Ss22sqr5uzZ1nVu8pbp4TZbNosdsonGE3jY3t9+l7yv+oLe5U7891Kwv0Z7VphoM9Bf3nS1FUVFSOknL0mykZl2dKO4qb1pjwtKOsp6RtyVi+0Kc1JhU1vDttFqk5Jc+UzilK1NjBxwbA9hY18p5QmzikYgqCa+5h756WzJpTw+fZSP05HPWyLKvEmXMxxthtFILd5hnbZ3KfuV+eyhIlbWUdZT01pixqFmurNyYtbnpvVmbW2CVz781Z1FBzp9I5ZR3FLTUm1ZuVp0rGFCXFhMG4ORgH+5ZsUKxXhWDJcwDBMrX3WnvvZu/GOcZGkDeogT/MGfyiO53O5z//+dHtyrmrWHm2Gnh7uva9+hDgR2qPvzXyvdryDhw4cMEFw1cLOH78+J133rnB+wMsg8MV28jBgwfPP//8dd7oJi8pdg45g2B37NixpzzlKaPbFeCMvPKVr3zrW9869Fuf+MQnnvvc527w/gDL+JVf+ZW3vOUtQ791yy23XHfddRu8P8AyXvWqV735zW9e101S7mTjrOoX/ZrXvOaDH/zgqHcFAACEyaKR/MMi5qtbkm9mZubYsWOj3htg9Xbu3Ll37/BRMhyu2GqWOVynp6fvu+++Dd4fYBm7du3as2ddl2bJetm3/9d6blCSZO3dtu+Kdd/sdrfaYAcAALAWWS+751PrvlVr7bZ9T1z3zW53zIoFAAAjxhi7jUKwAwAAI0aB4o1CsAMAACNG69pGIdgBAIARo8VuoxDsAADAKBl17DYOwQ4AAIyWjWSVCFrshiDYAQCAEaPFbqMQ7AAAwIixVuxGIdgBAICRMrXXdSmLfKNxe923GQBWngAAAAgEzZgAAACBINgBAAAEgmAHAAAQCIIdAABAIAh2AAAAgSDYAQAABIJgBwAAEAiCHQAAQCAIdgAAAIEg2AEAAASCYAcAABAIgh0AAEAgCHYAAACBINgBAAAEgmAHAAAQCIIdAABAIAh2AAAAgSDYAQAABIJgBwAAEAiCHQAAQCAIdgAAAIEg2AEAAASCYAcAABAIgh0AAEAgCHYAAACBINgBAAAEgmAHAAAQCIIdAABAIAh2AAAAgSDYAQAABIJgBwAAEAiCHQAAQCAIdgAAAIEg2AEAAASCYAcAABAIgh0AAEAgCHYAAACBINgBAAAEgmAHAAAQCIIdAABAIAh2AAAAgSDYAQAABIJgBwAAEAiCHQAAQCAIdgAAAIEg2AEAAASCYAcAABAIgh0AAEAgCHYAAACBINgBAAAEgmAHAAAQCIIdAABAIAh2AAAAgSDYAQAABIJgBwAAEAiCHQAAQCAIdgAAAIEg2AEAAASCYAcAABAIgh0AAEAgCHYAAACBINgBAAAEgmAHAAAQCIIdAABAIAh2AAAAgSDYAQAABIJgBwAAEAiCHQAAQCAIdgAAAIEg2AEAAASCYAcAABAIgh0AAEAgCHYAAACBINgBAAAEgmAHAAAQCIIdAABAIAh2AAAAgSDYAQAABIJgBwAAEAiCHQAAQCAIdgAAAIEg2AEAAASCYAcAABAIgh0AAEAgCHYAAACBINgBAAAEgmAHAAAQCIIdAABAIAh2AAAAgSDYAQAABIJgBwAAEAiCHQAAQCAIdgAAAIEg2AEAAASCYAcAABAIgh0AAEAgCHYAAACBINgBAAAEgmAHAAAQCIIdAABAIAh2AAAAgSDYAQAABIJgBwAAEAiCHQAAQCAIdgAAAIEg2AEAAASCYAcAABAIgh0AAEAgCHYAAACBINgBAAAEgmAHAAAQCIIdAABAIAh2AAAAgSDYAQAABIJgBwAAEAiCHQAAQCAIdgAAAIEg2AEAAASCYAcAABAIgh0AAEAgCHYAAACBINgBAAAEgmAHAAAQCIIdAABAIAh2AAAAgSDYAQAABIJgBwAAEAiCHQAAQCAIdgAAAIEg2AEAAASCYAcAABAIgh0AAEAgCHYAAACBINgBAAAEgmAHAAAQCIIdAABAIAh2AAAAgSDYAQAABIJgBwAAEAiCHQAAQCAIdgAAAIEg2AEAAASCYAcAABAIgh0AAEAgCHYAAACBINgBAAAEgmAHAAAQCIIdAABAIAh2AAAAgSDYAQAABIJgBwAAEAiCHQAAQCAIdgAAAIEg2AEAAASCYAcAABAIgh0AAEAgCHYAAACBINgBAAAEgmAHAAAQCIIdAABAIAh2AAAAgSDYAQAABIJgBwAAEAiCHQAAQCAIdgAAAIEg2AEAAASCYAcAABAIgh0AAEAgCHYAAACBINgBAAAEgmAHAAAQCIIdAABAIAh2AAAAgSDYAQAABIJgBwAAEAiCHQAAQCAIdgAAAIEg2AEAAASCYAcAABAIgh0AAEAgCHYAAACBINgBAAAEgmAHAAAQCIIdAABAIAh2AAAAgSDYAQAABIJgBwAAEAiCHQAAQCAIdgAAAIEg2AEAAASCYAcAABAIgh0AAEAgCHYAAACBINgBAAAEgmAHAAAQCIIdAABAIAh2AAAAgSDYAQAABIJgBwAAEAiCHQAAQCAIdgAAAIEg2AEAAASCYAcAABAIgh0AAEAgCHYAAACBINgBAAAEgmAHAAAQCIIdAABAIAh2AAAAgSDYAQAABIJgBwAAEAiCHQAAQCAIdgAAAIEg2AEAAASCYAcAABAIgh0AAEAgCHYAAACBINgBAAAEgmAHAAAQCIIdAABAIAh2AAAAgSDYAQAABIJgBwAAEAiCHQAAQCAIdgAAAIEg2AEAAASCYAcAABAIgh0AAEAgCHYAAACBINgBAAAEgmAHAAAQCIIdAABAIAh2AAAAgSDYAQAABIJgBwAAEAiCHQAAQCAIdgAAAIEg2AEAAASCYAcAABAIgh0AAEAgCHYAAACBINgBAAAEgmAHAAAQCIIdAABAIAh2AAAAgSDYAQAABIJgBwAAEAiCHQAAQCAIdgAAAIEg2AEAAASCYAcAABAIgh0AAEAgCHYAAACBINgBAAAEgmAHAAAQCIIdAABAIAh2AAAAgSDYAQAABIJgBwAAEAiCHQAAQCAIdgAAAIEg2AEAAASCYAcAABAIgh0AAEAgCHYAAACBINgBAAAEgmAHAAAQCIIdAABAIAh2AAAAgSDYAQAABIJgBwAAEAiCHQAAQCAIdgAAAIEg2AEAAASCYAcAABAIgh0AAEAgCHYAAACBINgBAAAEgmAHAAAQCIIdAABAIAh2AAAAgSDYAQAABIJgBwAAEAiCHQAAQCAIdgAAAIEg2AEAAASCYAcAABAIgh0AAEAgCHYAAACBINgBAAAEgmAHAAAQCIIdAABAIAh2AAAAgSDYAQAABIJgBwAAEAiCHQAAQCAIdgAAAIEg2AEAAASCYAcAABAIgh0AAEAgCHYAAACBINgBAAAEgmAHAAAQCIIdAABAIAh2AAAAgSDYAQAABIJgBwAAEAiCHQAAQCAIdgAAAIEg2AEAAASCYAcAABAIgh0AAEAgCHYAAACBINgBAAAEgmAHAAAQCIIdAABAIAh2AAAAgSDYAQAABIJgBwAAEAiCHQAAQCAIdgAAAIEg2AEAAASCYAcAABAIgh0AAEAgCHYAAACBINgBAAAE4v8H1PoQo8SEbt0AAAAASUVORK5CYII=",
"text/plain": [
"plot without title"
]
},
"metadata": {
"image/png": {
"height": 420,
"width": 420
}
},
"output_type": "display_data"
}
],
"source": [
"# Proportions in the 2D perspective\n",
"p <- ggplot(proportions_long, aes(x = x, y = y)) +\n",
" geom_point(aes(color = proportion), size = 1, alpha = 1) +\n",
" scale_colour_gradientn(name = NULL, colors = pals::brewer.orrd(22)[3:22]) +\n",
" coord_fixed(ratio = 1) +\n",
" facet_wrap(. ~ slice, nrow = 1) +\n",
" labs(\n",
" title = \"Estimated cell type proportions by STitch3D\",\n",
" x = \"x\", y = \"y\"\n",
" ) +\n",
" theme_classic() +\n",
" theme(\n",
" text = element_text(family = \"Helvetica\"),\n",
" plot.title = element_blank(),\n",
" axis.text = element_blank(),\n",
" axis.ticks = element_blank(),\n",
" axis.title.x = element_blank(),\n",
" axis.title.y = element_blank(),\n",
" strip.text = element_text(size = 20),\n",
" legend.title = element_blank(),\n",
" legend.text = element_text(size = 20),\n",
" legend.position = \"right\"\n",
" )\n",
"ggsave(\n",
" filename = file.path(\n",
" RESULT_PATH, paste0(\"proportion_\", celltype, \".pdf\")\n",
" ),\n",
" plot = p, width = 12, height = 3\n",
")\n",
"ggsave(\n",
" filename = file.path(\n",
" RESULT_PATH, paste0(\"proportion_\", celltype, \".png\")\n",
" ),\n",
" plot = p, width = 12, height = 3\n",
")\n",
"p"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "c643b368",
"metadata": {
"vscode": {
"languageId": "r"
}
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"A data.frame: 5 × 6\n",
"\n",
"\t | linear | Gaussian_1 | Gaussian_2 | Gaussian_transformed_1 | Gaussian_transformed_2 | combined_pvalue |
\n",
"\t | <dbl> | <dbl> | <dbl> | <dbl> | <dbl> | <dbl> |
\n",
"\n",
"\n",
"\t| CG13159 | 3.976520e-12 | 1.243477e-18 | 6.249950e-18 | 1.318915e-11 | 6.884301e-12 | 1.243477e-18 |
\n",
"\t| CG43181 | 2.832925e-02 | 5.275890e-14 | 1.646601e-12 | 3.454043e-05 | 7.333662e-08 | 2.555733e-13 |
\n",
"\t| nur | 2.313631e-08 | 6.775868e-14 | 8.414646e-13 | 1.540838e-09 | 4.672384e-09 | 3.137490e-13 |
\n",
"\t| PPO1 | 5.807640e-03 | 3.834335e-08 | 4.000800e-07 | 2.329759e-03 | 1.481691e-04 | 1.749047e-07 |
\n",
"\t| CG14265 | 1.597989e-01 | 1.709103e-06 | 1.845853e-06 | 7.348261e-04 | 3.553659e-05 | 4.323899e-06 |
\n",
"\n",
"
\n"
],
"text/latex": [
"A data.frame: 5 × 6\n",
"\\begin{tabular}{r|llllll}\n",
" & linear & Gaussian\\_1 & Gaussian\\_2 & Gaussian\\_transformed\\_1 & Gaussian\\_transformed\\_2 & combined\\_pvalue\\\\\n",
" & & & & & & \\\\\n",
"\\hline\n",
"\tCG13159 & 3.976520e-12 & 1.243477e-18 & 6.249950e-18 & 1.318915e-11 & 6.884301e-12 & 1.243477e-18\\\\\n",
"\tCG43181 & 2.832925e-02 & 5.275890e-14 & 1.646601e-12 & 3.454043e-05 & 7.333662e-08 & 2.555733e-13\\\\\n",
"\tnur & 2.313631e-08 & 6.775868e-14 & 8.414646e-13 & 1.540838e-09 & 4.672384e-09 & 3.137490e-13\\\\\n",
"\tPPO1 & 5.807640e-03 & 3.834335e-08 & 4.000800e-07 & 2.329759e-03 & 1.481691e-04 & 1.749047e-07\\\\\n",
"\tCG14265 & 1.597989e-01 & 1.709103e-06 & 1.845853e-06 & 7.348261e-04 & 3.553659e-05 & 4.323899e-06\\\\\n",
"\\end{tabular}\n"
],
"text/markdown": [
"\n",
"A data.frame: 5 × 6\n",
"\n",
"| | linear <dbl> | Gaussian_1 <dbl> | Gaussian_2 <dbl> | Gaussian_transformed_1 <dbl> | Gaussian_transformed_2 <dbl> | combined_pvalue <dbl> |\n",
"|---|---|---|---|---|---|---|\n",
"| CG13159 | 3.976520e-12 | 1.243477e-18 | 6.249950e-18 | 1.318915e-11 | 6.884301e-12 | 1.243477e-18 |\n",
"| CG43181 | 2.832925e-02 | 5.275890e-14 | 1.646601e-12 | 3.454043e-05 | 7.333662e-08 | 2.555733e-13 |\n",
"| nur | 2.313631e-08 | 6.775868e-14 | 8.414646e-13 | 1.540838e-09 | 4.672384e-09 | 3.137490e-13 |\n",
"| PPO1 | 5.807640e-03 | 3.834335e-08 | 4.000800e-07 | 2.329759e-03 | 1.481691e-04 | 1.749047e-07 |\n",
"| CG14265 | 1.597989e-01 | 1.709103e-06 | 1.845853e-06 | 7.348261e-04 | 3.553659e-05 | 4.323899e-06 |\n",
"\n"
],
"text/plain": [
" linear Gaussian_1 Gaussian_2 Gaussian_transformed_1\n",
"CG13159 3.976520e-12 1.243477e-18 6.249950e-18 1.318915e-11 \n",
"CG43181 2.832925e-02 5.275890e-14 1.646601e-12 3.454043e-05 \n",
"nur 2.313631e-08 6.775868e-14 8.414646e-13 1.540838e-09 \n",
"PPO1 5.807640e-03 3.834335e-08 4.000800e-07 2.329759e-03 \n",
"CG14265 1.597989e-01 1.709103e-06 1.845853e-06 7.348261e-04 \n",
" Gaussian_transformed_2 combined_pvalue\n",
"CG13159 6.884301e-12 1.243477e-18 \n",
"CG43181 7.333662e-08 2.555733e-13 \n",
"nur 4.672384e-09 3.137490e-13 \n",
"PPO1 1.481691e-04 1.749047e-07 \n",
"CG14265 3.553659e-05 4.323899e-06 "
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"persistent": false,
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"margin": {
"b": 40,
"l": 60,
"r": 10,
"t": 25
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"scene": {
"aspectmode": "data",
"camera": {
"center": {
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"y": 0,
"z": 0
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"eye": {
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"showgrid": false,
"showline": true,
"showticklabels": false,
"title": "z",
"zeroline": false
}
},
"showlegend": false
},
"shinyEvents": [
"plotly_hover",
"plotly_click",
"plotly_selected",
"plotly_relayout",
"plotly_brushed",
"plotly_brushing",
"plotly_clickannotation",
"plotly_doubleclick",
"plotly_deselect",
"plotly_afterplot",
"plotly_sunburstclick"
],
"source": "A",
"visdat": {
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"function () ",
"plotlyVisDat"
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}
},
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"\t\n",
"\t\t\n",
"\t\t\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"\t\n",
"\t\n",
"\t\t\n",
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],
"text/plain": [
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]
},
"metadata": {
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],
"source": [
"demo_genes <- c(\"CG13159\", \"CG43181\", \"nur\", \"PPO1\", \"CG14265\")\n",
"mcube_object@pvalues[[1]][demo_genes, ]\n",
"for (gene in demo_genes) {\n",
" p <- mcubePlotExprCellType3D(\n",
" object = mcube_object, gene = gene, celltype = celltype, proportion_threshold = 0.5, \n",
" spot_size = 1.5, opacity_target = 0.8, opacity_background = 0.05,\n",
" plotly_eye = list(x = -0.1, y = -1.6, z = 1.8)\n",
" )\n",
" plotly::save_image(\n",
" p, file.path(RESULT_PATH, paste0(\"salivary_gland\", \"_\", gene, \".pdf\")),\n",
" width = 600, height = 400, scale = 5\n",
" )\n",
"}\n",
"p"
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "973dd137",
"metadata": {
"vscode": {
"languageId": "r"
}
},
"outputs": [
{
"data": {
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",
"text/plain": [
"plot without title"
]
},
"metadata": {
"image/png": {
"height": 420,
"width": 420
}
},
"output_type": "display_data"
}
],
"source": [
"# Visualizing the slice-specific platform effects\n",
"slice_idx_seq_plot <- factor(slice_idx_seq, levels = slice_idx_seq)\n",
"for (gene in demo_genes) {\n",
" p <- ggplot(data = NULL, aes(x = slice_idx_seq_plot, y = platform_effects_ST[, gene])) +\n",
" geom_bar(stat = \"identity\", fill = \"dodgerblue\") +\n",
" labs(title = gene, x = \"Slice index\", y = \"Platform effect\") +\n",
" theme_classic() +\n",
" theme(\n",
" text = element_text(family = \"Helvetica\", size = 20),\n",
" plot.title = element_text(size = 24, hjust = 0.5, face = \"italic\"),\n",
" axis.title = element_text(size = 20),\n",
" axis.text.x = element_text(size = 18),\n",
" axis.text.y = element_text(size = 20)\n",
" )\n",
" ggsave(\n",
" filename = file.path(\n",
" RESULT_PATH,\n",
" paste0(\n",
" \"platform_effects_\", gene,\n",
" \".pdf\"\n",
" )\n",
" ),\n",
" plot = p, width = 5, height = 4\n",
" )\n",
"}\n",
"p"
]
},
{
"cell_type": "markdown",
"id": "e422bf20",
"metadata": {},
"source": [
"### Not considering slice-specific platform effects"
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "1068bba0",
"metadata": {
"vscode": {
"languageId": "r"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"The batch_id is not provided!\n",
"All spots are assumed to be from the same batch and share the same gene platform effects.\n",
"\n",
"Select high-abundance cell types to analyze with proportion_threshold = 0.5 and celltype_threshold = 100.\n",
"\n",
"mcubeFilterCellTypes: Cell type(s) CNS, epidermis, fat body, foregut, midgut, muscle, salivary gland pass the threshold.\n",
"\n",
"Cell type(s) salivary gland will be analyzed.\n",
"\n",
"Filter out lowly-expressed genes with gene_threshold = 5e-05.\n",
"\n",
"mcubeFilterGenes: 1482 genes pass the threshold.\n",
"\n",
"The platform effects are not provided and need to be estimated from data!\n",
"\n",
"Select highly-expressed genes to analyze for each specific cell type with reference_threshold = 0.5.\n",
"\n",
"mcubeFilterGenesCellType: Select 619 genes to analyze for salivary gland.\n",
"\n",
"Preprocessed data description: 14132 spots and 16 cell types in total. 176 spots, 619 genes, and 1 cell type(s) to analyze.\n",
"\n",
"Number of physical cores: 72.\n",
"\n",
"Number of workers: 70.\n",
"\n",
"Number of thread(s) on BLAS per worker: 1.\n",
"\n",
"mcubeKernel: length_scale is set as 0.178073578880044 for the Gaussian kernel.\n",
"\n",
"mcubeKernel: length_scale is set as 0.251834070352474 for the Gaussian kernel.\n",
"\n",
"mcubeKernel: length_scale is set as 0.178073578880044 for the Gaussian_transformed kernel.\n",
"\n",
"mcubeKernel: length_scale is set as 0.251834070352474 for the Gaussian_transformed kernel.\n",
"\n",
"Number of physical cores: 72.\n",
"\n",
"Number of workers: 70.\n",
"\n",
"Number of thread(s) on BLAS per worker: 1.\n",
"\n"
]
}
],
"source": [
"mcube_object_batch_effects <- createMCube(\n",
" counts = counts, coordinates = coordinates, \n",
" proportions = proportions_ST, library_sizes = library_sizes_ST, \n",
" covariates = NULL, batch_id = NULL, # Assume all spots from the same batch by setting batch_id as NULL\n",
" reference = reference_ST,\n",
" spot_effects = spot_effects_ST, platform_effects = NULL,\n",
" celltype_test = celltype,\n",
" proportion_threshold = 0.5,\n",
" project = \"salivary gland\"\n",
")\n",
"mcube_object_batch_effects <- mcubeFitNull(\n",
" mcube_object_batch_effects,\n",
" num_workers = 70, num_threads = 1\n",
")\n",
"mcube_object_batch_effects <- mcubeTest(\n",
" mcube_object_batch_effects,\n",
" num_workers = 70, num_threads = 1, shared_memory = TRUE\n",
")\n",
"\n",
"saveRDS(\n",
" mcube_object_batch_effects,\n",
" file = file.path(\n",
" RESULT_PATH,\n",
" paste0(\n",
" \"mcube_\", \"salivary_gland\",\n",
" \"_batch_effects\",\n",
" \".rds\"\n",
" )\n",
" )\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "11af9c7c",
"metadata": {
"vscode": {
"languageId": "r"
}
},
"outputs": [
{
"data": {
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"553"
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"[1] 553"
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"metadata": {},
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},
{
"name": "stderr",
"output_type": "stream",
"text": [
"mcubeGetSigGenes: Set adjust_method as BH and alpha as 0.05.\n",
"\n"
]
},
{
"data": {
"text/html": [
"30"
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{
"data": {
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"\n",
"A data.frame: 6 × 2\n",
"\n",
"\t | pvalue | adjusted_pvalue |
\n",
"\t | <dbl> | <dbl> |
\n",
"\n",
"\n",
"\t| CG13159 | 4.424356e-23 | 2.446669e-20 |
\n",
"\t| nur | 1.199964e-18 | 3.317900e-16 |
\n",
"\t| CG18649 | 1.953955e-18 | 3.601791e-16 |
\n",
"\t| CG43181 | 5.717649e-14 | 7.904649e-12 |
\n",
"\t| CG13738 | 4.927461e-10 | 5.449771e-08 |
\n",
"\t| CG32453 | 8.905072e-10 | 8.207508e-08 |
\n",
"\n",
"
\n"
],
"text/latex": [
"A data.frame: 6 × 2\n",
"\\begin{tabular}{r|ll}\n",
" & pvalue & adjusted\\_pvalue\\\\\n",
" & & \\\\\n",
"\\hline\n",
"\tCG13159 & 4.424356e-23 & 2.446669e-20\\\\\n",
"\tnur & 1.199964e-18 & 3.317900e-16\\\\\n",
"\tCG18649 & 1.953955e-18 & 3.601791e-16\\\\\n",
"\tCG43181 & 5.717649e-14 & 7.904649e-12\\\\\n",
"\tCG13738 & 4.927461e-10 & 5.449771e-08\\\\\n",
"\tCG32453 & 8.905072e-10 & 8.207508e-08\\\\\n",
"\\end{tabular}\n"
],
"text/markdown": [
"\n",
"A data.frame: 6 × 2\n",
"\n",
"| | pvalue <dbl> | adjusted_pvalue <dbl> |\n",
"|---|---|---|\n",
"| CG13159 | 4.424356e-23 | 2.446669e-20 |\n",
"| nur | 1.199964e-18 | 3.317900e-16 |\n",
"| CG18649 | 1.953955e-18 | 3.601791e-16 |\n",
"| CG43181 | 5.717649e-14 | 7.904649e-12 |\n",
"| CG13738 | 4.927461e-10 | 5.449771e-08 |\n",
"| CG32453 | 8.905072e-10 | 8.207508e-08 |\n",
"\n"
],
"text/plain": [
" pvalue adjusted_pvalue\n",
"CG13159 4.424356e-23 2.446669e-20 \n",
"nur 1.199964e-18 3.317900e-16 \n",
"CG18649 1.953955e-18 3.601791e-16 \n",
"CG43181 5.717649e-14 7.904649e-12 \n",
"CG13738 4.927461e-10 5.449771e-08 \n",
"CG32453 8.905072e-10 8.207508e-08 "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"nrow(mcube_object_batch_effects@pvalues[[1]])\n",
"\n",
"sig_genes <- mcubeGetSigGenes(mcube_object_batch_effects@pvalues)\n",
"nrow(sig_genes[[1]])\n",
"head(sig_genes[[1]])"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "6264a334",
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"vscode": {
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