Replication of Figures (Thesis)<\/title>\n\n<script>\/\/ Pandoc 2.9 adds attributes on both header and div. We remove the former (to\n\/\/ be compatible with the behavior of Pandoc < 2.8).\ndocument.addEventListener('DOMContentLoaded', function(e) {\n var hs = document.querySelectorAll(\"div.section[class*='level'] > :first-child\");\n var i, h, a;\n for (i = 0; i < hs.length; i++) {\n h = hs[i];\n if (!\/^h[1-6]$\/i.test(h.tagName)) continue; \/\/ it should be a header h1-h6\n a = h.attributes;\n while (a.length > 0) h.removeAttribute(a[0].name);\n }\n});\n<\/script>\n<style type=\"text\/css\">.hljs-literal {\ncolor: #990073;\n}\n.hljs-number {\ncolor: #099;\n}\n.hljs-comment {\ncolor: #998;\nfont-style: italic;\n}\n.hljs-keyword {\ncolor: #900;\nfont-weight: bold;\n}\n.hljs-string {\ncolor: #d14;\n}\n<\/style>\n<script 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\"><\/script>\n\n<style type=\"text\/css\">\ncode{white-space: pre-wrap;}\nspan.smallcaps{font-variant: small-caps;}\nspan.underline{text-decoration: underline;}\ndiv.column{display: inline-block; vertical-align: top; width: 50%;}\ndiv.hanging-indent{margin-left: 1.5em; text-indent: -1.5em;}\nul.task-list{list-style: none;}\n<\/style>\n\n<style type=\"text\/css\">code{white-space: pre;}<\/style>\n<script type=\"text\/javascript\">\nif (window.hljs) {\n hljs.configure({languages: []});\n hljs.initHighlightingOnLoad();\n if (document.readyState && document.readyState === \"complete\") {\n window.setTimeout(function() { hljs.initHighlighting(); }, 0);\n }\n}\n<\/script>\n\n\n\n\n\n\n<style type=\"text\/css\">.main-container {max-width: 800px;margin-left: auto;margin-right: auto;padding-left: 5%;padding-right: 5%;}code {color: inherit;background-color: rgba(0, 0, 0, 0.04);}code a {color: inherit;}pre:not([class]) code::before {content: none;}body {background-color: #f5f5f5;}h1.title {font-size: 36px;margin-bottom: 20px;border: none;text-align: center;}h1 {padding-bottom: 9px;margin: 20px 0px 20px;border-bottom: 1px solid #EEE;font-size: 36px;}h2 {font-size: 30px;}pre[class^=\"r\"] {background-color: #e0e0e0; padding: 10px; border-radius: 5px; overflow-x: auto; word-wrap: break-word; color: inherit;line-height: 1.5;}pre[class^=\"r\"] code {background-color: transparent; border: none;}pre code.hljs {background-color: transparent;border: none;}pre,img {overflow-x: auto; background-color: transparent; border: none; }<\/style>\n\n\n\n\n<\/head>\n\n<body>\n\n\n\n\n<h1 class=\"title toc-ignore\">Replication of Figures (Thesis)<\/h1>\n\n\n\n<div class=\"main-container\">\n<div id=\"preparation\" class=\"section level3\">\n<h3>Preparation<\/h3>\n<p>Packages to Load.<\/p>\n<pre class=\"r\"><code>library(dplyr) # For Data Manipulation\nlibrary(lme4) # For Linear Mixed-effects Modeling\nlibrary(lmerTest) # For Type III Anova\nlibrary(ggplot2) # For Creating Customized Figures\nlibrary(gridExtra) # For Two ggplots Next to Each Other\nlibrary(corrplot) # Correlation plot<\/code><\/pre>\n<p>Encoding and Data.<\/p>\n<pre class=\"r\"><code>encoding <- "UTF-8" \ncsv_file <- "sen_youtube_data.csv" \ndf <- read.csv(csv_file, fileEncoding = encoding) # Load in the necessary file. Make sure its in the working directory.<\/code><\/pre>\n<\/div>\n<div id=\"figure-5.1-histogram-of-view-count\" class=\"section level3\">\n<h3>Figure 5.1 Histogram of View Count<\/h3>\n<pre class=\"r\"><code>figure_5_1 <- ggplot(df, aes(x = log_viewCount)) +\n geom_histogram(binwidth = 1, fill = "gray70", color = "black", alpha = 0.7, boundary = -1) +\n labs(x = "View Count (Log)", y = "Frequency") +\n theme_minimal() + theme(plot.title = element_text(hjust = 0.5)) + \n theme(\n text = element_text(size = 12),\n axis.title.x = element_text(size = 12, margin = margin(t = 10)),\n axis.title.y = element_text(size = 12, margin = margin(r = 10)),\n axis.text = element_text(size = 12, face = "bold"),\n panel.grid.major = element_blank(),\n panel.grid.minor = element_blank()\n ) \nfigure_5_1<\/code><\/pre>\n<p><img decoding=\"async\" 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\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\" width=\"672\" \/><\/p>\n<p>Function that customized each of the plots – instead of doing it\ntwice<\/p>\n<pre class=\"r\"><code>plot_sentiment_histogram <- function(data, sentiment_column, binwidth = 1\/10, title = "", x_label = "Sentiment Score") {\n ggplot(data, aes(x = !!sym(sentiment_column))) +\n geom_histogram(binwidth = binwidth, fill = "gray90", color = "black", alpha = 0.7, boundary = 0) +\n labs(title = title, x = x_label, y = "Frequency") +\n theme_minimal() + \n theme(plot.title = element_text(hjust = 0.5, size = 16, face = "bold"),\n axis.title.x = element_text(size = 16, margin = margin(t = 10)),\n axis.title.y = element_text(size = 16, margin = margin(r = 10)),\n axis.text = element_text(size = 16, margin = margin(t = 10), face = "bold"),\n axis.text.y.left = element_text(size = 16, margin = margin(r = 10)),\n panel.grid.major = element_blank(),\n panel.grid.minor = element_blank()\n ) \n}<\/code><\/pre>\n<\/div>\n<div id=\"figure-5.2-histogram-of-individual-sentiments\" class=\"section level3\">\n<h3>Figure 5.2 Histogram of Individual Sentiments<\/h3>\n<pre class=\"r\"><code>pos_sent <- plot_sentiment_histogram(df, "pos_prob", title= "Positive")\nneg_sent <- plot_sentiment_histogram(df, "neg_prob", title= "Negative")\ngrid.arrange(pos_sent, neg_sent, ncol = 2) # gridExtra package<\/code><\/pre>\n<p><img decoding=\"async\" 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\" width=\"672\" \/><\/p>\n<\/div>\n<div id=\"figure-5.3-histogram-of-composite-score\" class=\"section level3\">\n<h3>Figure 5.3 Histogram of Composite Score<\/h3>\n<pre class=\"r\"><code>figure_5_3 <- ggplot(df, aes(x = compound_score)) +\n geom_histogram(binwidth = 0.2, fill = "gray70", color = "black", alpha = 0.7, boundary = -1) +\n labs(x = "Sentiment Score", y = "Frequency") +\n theme_minimal() + theme(plot.title = element_text(hjust = 0.5)) + \n theme(\n text = element_text(size = 12), \n axis.title.x = element_text(size = 12, margin = margin(t = 10)),\n axis.title.y = element_text(size = 12, margin = margin(r = 10)),\n axis.text = element_text(size = 12, face = "bold"),\n panel.grid.major = element_blank(),\n panel.grid.minor = element_blank()\n ) \n\nfigure_5_3<\/code><\/pre>\n<p><img decoding=\"async\" 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\" width=\"672\" \/><\/p>\n<\/div>\n<div id=\"figure-5.4-correlation-matrix-video-level\" class=\"section level3\">\n<h3>Figure 5.4 Correlation Matrix (Video Level)<\/h3>\n<pre class=\"r\"><code>video_df <- df[c("neg_prob", "pos_prob","compound_score", "log_viewCount",\n "durationMin")]\n\ncorr_matrix <- cor(video_df)# Creating a matrix\ncustom_labels1 <- c("Negative Prob.", "Positive Prob.", "Composite Score", "View Count (Log)",\n "Duration (Min)") # Custom Labels\nrownames(corr_matrix) <- colnames(corr_matrix) <- custom_labels1\n\n\ncorrplot(corr_matrix, method = "number", col = gray.colors(50),\n tl.col = "black", tl.srt = 45, tl.cex = 0.8)<\/code><\/pre>\n<p><img decoding=\"async\" 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\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\" width=\"672\" \/><\/p>\n<\/div>\n<div id=\"figure-6.1-coefficient-plot-model-8\" class=\"section level3\">\n<h3>Figure 6.1 Coefficient Plot (Model 8)<\/h3>\n<pre class=\"r\"><code>negative_model3 <- lmer(log_viewCount ~ neg_prob + abs_nom + durationMin +\n seniority + gender + log_subscriber +\n (1 + neg_prob| channelId ), data = df)\n\nlabel_vector <- c("(Intercept)", "Ideology", "Duration", "Gender (M)", "Subscribers (Log)", "Negativity", "Seniority")\ncoefficients <- as.data.frame(summary(negative_model3)$coefficients)\n\nfigure_6_1 <- ggplot(data = coefficients, aes(x = rownames(coefficients), y = Estimate)) +\n geom_point() + \n geom_errorbar(aes(ymin = Estimate - `Std. Error`, ymax = Estimate + `Std. Error`)) +\n labs(x = "Coefficients", y = "Estimate") + theme_minimal() +\n theme(plot.title = element_text(hjust = 0.5),\n text = element_text(size = 12),\n axis.title.x = element_text(size = 12, margin = margin(t = 10)),\n axis.title.y = element_text(size = 12, margin = margin(r = 10)),\n axis.text = element_text(size = 12, face = "bold"), \n axis.text.x = element_text(angle = 45, hjust = 1),\n panel.grid.minor = element_blank()) + \n scale_x_discrete(labels = label_vector)\nprint(figure_6_1) # Display plot<\/code><\/pre>\n<p><img decoding=\"async\" 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\" width=\"672\" \/><\/p>\n<\/div>\n<div id=\"figure-6.2-histograms-of-random-components\" class=\"section level3\">\n<h3>Figure 6.2 Histograms of Random Components<\/h3>\n<pre class=\"r\"><code>par(mar = c(5, 4, 1, 2) + 0.1) # Adjust the margins\npar(mfrow=c(1,2)) # 1 by 2 \n# Model 4 load in\nnegative_model3 <- lmer(log_viewCount ~ neg_prob + abs_nom + durationMin +\n seniority + gender + log_subscriber +\n (1 + neg_prob| channelId ), data = df)\n# Random components of Model 4\nrandom_components <- ranef(negative_model3)\n# Intercept Histogram\nhist(random_components$channelId[, "(Intercept)"],\n xlab = "Intercept Random Effect",\n main = "Distribution of Random Intercepts",\n breaks = seq(-2, 3, by = 0.5))\n# Slope Histogram\nhist(random_components$channelId[,"neg_prob"], xlab= "Negative Sentiment Random Effect",\n main = "Distribution of Random Slopes",\n breaks = seq(-2, 3, by = 0.5))<\/code><\/pre>\n<p><img decoding=\"async\" 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\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\" width=\"672\" \/><\/p>\n<\/div>\n<div id=\"figure-6.3-random-components-for-each-senator\" class=\"section level3\">\n<h3>Figure 6.3 Random Components for Each Senator<\/h3>\n<pre class=\"r\"><code>negative_model3 <- lmer(log_viewCount ~ neg_prob + abs_nom + durationMin +\n seniority + gender + log_subscriber +\n (1 + neg_prob| channelId ), data = df)\nrandom_components <- ranef(negative_model3)\n\npar(mar = c(5, 4, 1, 2) + 0.1) # Adjust the margins\n\npar(mfrow=c(1,1)) # 1 histogram\n\nplot(random_components$channelId[, "(Intercept)"],\n random_components$channelId[, "neg_prob"],\n xlab = "Intercept",\n ylab = "Negative Slope",\n xlim = range(random_components$channelId[, "(Intercept)"]),\n ylim = range(random_components$channelId[, "neg_prob"]),\n pch = 16, \n col = "black", \n cex = 1.2,\n grid() \n)<\/code><\/pre>\n<p><img decoding=\"async\" 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\" width=\"672\" \/><\/p>\n<\/div>\n<div id=\"figure-a.1-histogram-of-video-duration-minutes\" class=\"section level3\">\n<h3>Figure A.1 Histogram of Video Duration (Minutes)<\/h3>\n<pre class=\"r\"><code>par(mfrow=c(1,1))\npar(mar = c(5, 4, 1, 2) + 0.1) # Adjusts the margins\n# Video Duration\nhist(df$durationMin,\n xlab = "Duration (in Minutes)",\n main = "",\n breaks = seq(0, 60, length.out = 31))<\/code><\/pre>\n<p><img decoding=\"async\" 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{"id":726,"date":"2024-05-15T13:26:55","date_gmt":"2024-05-15T13:26:55","guid":{"rendered":"https:\/\/www.danielgoralczyk.com\/?page_id=726"},"modified":"2024-05-29T15:21:13","modified_gmt":"2024-05-29T15:21:13","slug":"thesis-replication-of-figures","status":"publish","type":"page","link":"https:\/\/www.danielgoralczyk.com\/de\/thesis\/thesis-replication-of-figures\/","title":{"rendered":"Thesis Replication of Figures"},"content":{"rendered":"\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nReplication of Figures (Thesis)<\/title>\n\n<script>\/\/ Pandoc 2.9 adds attributes on both header and div. 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TCxrLCEwLHhbRS5zTF0pOmcoayxFLnNMLmxlbmd0aD9FLnNMOnZvaWQgMCk7cmV0dXJuIEUucj4wJiYoQis9dC5yKSxlJiYoeFtFLnNMXT10LnRvcCkscCh0Lmxhbmd1YWdlLHQudmFsdWUsITEsITApfWZ1bmN0aW9uIGIoKXtMKz1udWxsIT1FLnNMP2QoKTpoKCksaz0iIn1mdW5jdGlvbiB2KGUpe0wrPWUuY04\/cChlLmNOLCIiLCEwKToiIixFPU9iamVjdC5jcmVhdGUoZSx7cGFyZW50Ont2YWx1ZTpFfX0pfWZ1bmN0aW9uIG0oZSxuKXtpZihrKz1lLG51bGw9PW4pcmV0dXJuIGIoKSwwO3ZhciB0PW8obixFKTtpZih0KXJldHVybiB0LnNraXA\/ays9bjoodC5lQiYmKGsrPW4pLGIoKSx0LnJCfHx0LmVCfHwoaz1uKSksdih0LG4pLHQuckI\/MDpuLmxlbmd0aDt2YXIgcj11KEUsbik7aWYocil7dmFyIGE9RTthLnNraXA\/ays9bjooYS5yRXx8YS5lRXx8KGsrPW4pLGIoKSxhLmVFJiYoaz1uKSk7ZG8gRS5jTiYmKEwrPUMpLEUuc2tpcHx8KEIrPUUuciksRT1FLnBhcmVudDt3aGlsZShFIT09ci5wYXJlbnQpO3JldHVybiByLnN0YXJ0cyYmdihyLnN0YXJ0cywiIiksYS5yRT8wOm4ubGVuZ3RofWlmKGMobixFKSl0aHJvdyBuZXcgRXJyb3IoJ0lsbGVnYWwgbGV4ZW1lICInK24rJyIgZm9yIG1vZGUgIicrKEUuY058fCI8dW5uYW1lZD4iKSsnIicpO3JldHVybiBrKz1uLG4ubGVuZ3RofHwxfXZhciBOPXcoZSk7aWYoIU4pdGhyb3cgbmV3IEVycm9yKCdVbmtub3duIGxhbmd1YWdlOiAiJytlKyciJyk7cyhOKTt2YXIgUixFPWl8fE4seD17fSxMPSIiO2ZvcihSPUU7UiE9PU47Uj1SLnBhcmVudClSLmNOJiYoTD1wKFIuY04sIiIsITApK0wpO3ZhciBrPSIiLEI9MDt0cnl7Zm9yKHZhciBNLGosTz0wOzspe2lmKEUudC5sYXN0SW5kZXg9TyxNPUUudC5leGVjKHQpLCFNKWJyZWFrO2o9bSh0LnN1YnN0cmluZyhPLE0uaW5kZXgpLE1bMF0pLE89TS5pbmRleCtqfWZvcihtKHQuc3Vic3RyKE8pKSxSPUU7Ui5wYXJlbnQ7Uj1SLnBhcmVudClSLmNOJiYoTCs9Qyk7cmV0dXJue3I6Qix2YWx1ZTpMLGxhbmd1YWdlOmUsdG9wOkV9fWNhdGNoKFQpe2lmKFQubWVzc2FnZSYmLTEhPT1ULm1lc3NhZ2UuaW5kZXhPZigiSWxsZWdhbCIpKXJldHVybntyOjAsdmFsdWU6bih0KX07dGhyb3cgVH19ZnVuY3Rpb24gZyhlLHQpe3Q9dHx8SS5sYW5ndWFnZXN8fHgoeSk7dmFyIHI9e3I6MCx2YWx1ZTpuKGUpfSxhPXI7cmV0dXJuIHQuZmlsdGVyKHcpLmZvckVhY2goZnVuY3Rpb24obil7dmFyIHQ9ZihuLGUsITEpO3QubGFuZ3VhZ2U9bix0LnI+YS5yJiYoYT10KSx0LnI+ci5yJiYoYT1yLHI9dCl9KSxhLmxhbmd1YWdlJiYoci5zZWNvbmRfYmVzdD1hKSxyfWZ1bmN0aW9uIHAoZSl7cmV0dXJuIEkudGFiUmVwbGFjZXx8SS51c2VCUj9lLnJlcGxhY2UoTSxmdW5jdGlvbihlLG4pe3JldHVybiBJLnVzZUJSJiYiXG4iPT09ZT8iPGJyPiI6SS50YWJSZXBsYWNlP24ucmVwbGFjZSgvXHQvZyxJLnRhYlJlcGxhY2UpOiIifSk6ZX1mdW5jdGlvbiBoKGUsbix0KXt2YXIgcj1uP0xbbl06dCxhPVtlLnRyaW0oKV07cmV0dXJuIGUubWF0Y2goL1xiaGxqc1xiLyl8fGEucHVzaCgiaGxqcyIpLC0xPT09ZS5pbmRleE9mKHIpJiZhLnB1c2gociksYS5qb2luKCIgIikudHJpbSgpfWZ1bmN0aW9uIGQoZSl7dmFyIG4sdCxyLG8sbCxzPWkoZSk7YShzKXx8KEkudXNlQlI\/KG49ZG9jdW1lbnQuY3JlYXRlRWxlbWVudE5TKCJodHRwOi8vd3d3LnczLm9yZy8xOTk5L3hodG1sIiwiZGl2Iiksbi5pbm5lckhUTUw9ZS5pbm5lckhUTUwucmVwbGFjZSgvXG4vZywiIikucmVwbGFjZSgvPGJyWyBcL10qPi9nLCJcbiIpKTpuPWUsbD1uLnRleHRDb250ZW50LHI9cz9mKHMsbCwhMCk6ZyhsKSx0PXUobiksdC5sZW5ndGgmJihvPWRvY3VtZW50LmNyZWF0ZUVsZW1lbnROUygiaHR0cDovL3d3dy53My5vcmcvMTk5OS94aHRtbCIsImRpdiIpLG8uaW5uZXJIVE1MPXIudmFsdWUsci52YWx1ZT1jKHQsdShvKSxsKSksci52YWx1ZT1wKHIudmFsdWUpLGUuaW5uZXJIVE1MPXIudmFsdWUsZS5jbGFzc05hbWU9aChlLmNsYXNzTmFtZSxzLHIubGFuZ3VhZ2UpLGUucmVzdWx0PXtsYW5ndWFnZTpyLmxhbmd1YWdlLHJlOnIucn0sci5zZWNvbmRfYmVzdCYmKGUuc2Vjb25kX2Jlc3Q9e2xhbmd1YWdlOnIuc2Vjb25kX2Jlc3QubGFuZ3VhZ2UscmU6ci5zZWNvbmRfYmVzdC5yfSkpfWZ1bmN0aW9uIGIoZSl7ST1vKEksZSl9ZnVuY3Rpb24gdigpe2lmKCF2LmNhbGxlZCl7di5jYWxsZWQ9ITA7dmFyIGU9ZG9jdW1lbnQucXVlcnlTZWxlY3RvckFsbCgicHJlIGNvZGUiKTtFLmZvckVhY2guY2FsbChlLGQpfX1mdW5jdGlvbiBtKCl7YWRkRXZlbnRMaXN0ZW5lcigiRE9NQ29udGVudExvYWRlZCIsdiwhMSksYWRkRXZlbnRMaXN0ZW5lcigibG9hZCIsdiwhMSl9ZnVuY3Rpb24gTihuLHQpe3ZhciByPXlbbl09dChlKTtyLmFsaWFzZXMmJnIuYWxpYXNlcy5mb3JFYWNoKGZ1bmN0aW9uKGUpe0xbZV09bn0pfWZ1bmN0aW9uIFIoKXtyZXR1cm4geCh5KX1mdW5jdGlvbiB3KGUpe3JldHVybiBlPShlfHwiIikudG9Mb3dlckNhc2UoKSx5W2VdfHx5W0xbZV1dfXZhciBFPVtdLHg9T2JqZWN0LmtleXMseT17fSxMPXt9LGs9L14obm8tP2hpZ2hsaWdodHxwbGFpbnx0ZXh0KSQvaSxCPS9cYmxhbmcoPzp1YWdlKT8tKFtcdy1dKylcYi9pLE09LygoXig8W14+XSs+fFx0fCkrfCg\/OlxuKSkpL2dtLEM9Ijwvc3Bhbj4iLEk9e2NsYXNzUHJlZml4OiJobGpzLSIsdGFiUmVwbGFjZTpudWxsLHVzZUJSOiExLGxhbmd1YWdlczp2b2lkIDB9O3JldHVybiBlLmhpZ2hsaWdodD1mLGUuaGlnaGxpZ2h0QXV0bz1nLGUuZml4TWFya3VwPXAsZS5oaWdobGlnaHRCbG9jaz1kLGUuY29uZmlndXJlPWIsZS5pbml0SGlnaGxpZ2h0aW5nPXYsZS5pbml0SGlnaGxpZ2h0aW5nT25Mb2FkPW0sZS5yZWdpc3Rlckxhbmd1YWdlPU4sZS5saXN0TGFuZ3VhZ2VzPVIsZS5nZXRMYW5ndWFnZT13LGUuaW5oZXJpdD1vLGUuSVI9IlthLXpBLVpdXFx3KiIsZS5VSVI9IlthLXpBLVpfXVxcdyoiLGUuTlI9IlxcYlxcZCsoXFwuXFxkKyk\/IixlLkNOUj0iKC0\/KShcXGIwW3hYXVthLWZBLUYwLTldK3woXFxiXFxkKyhcXC5cXGQqKT98XFwuXFxkKykoW2VFXVstK10\/XFxkKyk\/KSIsZS5CTlI9IlxcYigwYlswMV0rKSIsZS5SU1I9IiF8IT18IT09fCV8JT18JnwmJnwmPXxcXCp8XFwqPXxcXCt8XFwrPXwsfC18LT18Lz18L3w6fDt8PDx8PDw9fDw9fDx8PT09fD09fD18Pj4+PXw+Pj18Pj18Pj4+fD4+fD58XFw\/fFxcW3xcXHt8XFwofFxcXnxcXF49fFxcfHxcXHw9fFxcfFxcfHx+IixlLkJFPXtiOiJcXFxcW1xcc1xcU10iLHI6MH0sZS5BU009e2NOOiJzdHJpbmciLGI6IiciLGU6IiciLGk6IlxcbiIsYzpbZS5CRV19LGUuUVNNPXtjTjoic3RyaW5nIixiOiciJyxlOiciJyxpOiJcXG4iLGM6W2UuQkVdfSxlLlBXTT17YjovXGIoYXxhbnx0aGV8YXJlfEknbXxpc24ndHxkb24ndHxkb2Vzbid0fHdvbid0fGJ1dHxqdXN0fHNob3VsZHxwcmV0dHl8c2ltcGx5fGVub3VnaHxnb25uYXxnb2luZ3x3dGZ8c298c3VjaHx3aWxsfHlvdXx5b3VyfHRoZXl8bGlrZXxtb3JlKVxiL30sZS5DPWZ1bmN0aW9uKG4sdCxyKXt2YXIgYT1lLmluaGVyaXQoe2NOOiJjb21tZW50IixiOm4sZTp0LGM6W119LHJ8fHt9KTtyZXR1cm4gYS5jLnB1c2goZS5QV00pLGEuYy5wdXNoKHtjTjoiZG9jdGFnIixiOiIoPzpUT0RPfEZJWE1FfE5PVEV8QlVHfFhYWCk6IixyOjB9KSxhfSxlLkNMQ009ZS5DKCIvLyIsIiQiKSxlLkNCQ009ZS5DKCIvXFwqIiwiXFwqLyIpLGUuSENNPWUuQygiIyIsIiQiKSxlLk5NPXtjTjoibnVtYmVyIixiOmUuTlIscjowfSxlLkNOTT17Y046Im51bWJlciIsYjplLkNOUixyOjB9LGUuQk5NPXtjTjoibnVtYmVyIixiOmUuQk5SLHI6MH0sZS5DU1NOTT17Y046Im51bWJlciIsYjplLk5SKyIoJXxlbXxleHxjaHxyZW18dnd8dmh8dm1pbnx2bWF4fGNtfG1tfGlufHB0fHBjfHB4fGRlZ3xncmFkfHJhZHx0dXJufHN8bXN8SHp8a0h6fGRwaXxkcGNtfGRwcHgpPyIscjowfSxlLlJNPXtjTjoicmVnZXhwIixiOi9cLy8sZTovXC9bZ2ltdXldKi8saTovXG4vLGM6W2UuQkUse2I6L1xbLyxlOi9cXS8scjowLGM6W2UuQkVdfV19LGUuVE09e2NOOiJ0aXRsZSIsYjplLklSLHI6MH0sZS5VVE09e2NOOiJ0aXRsZSIsYjplLlVJUixyOjB9LGUuTUVUSE9EX0dVQVJEPXtiOiJcXC5cXHMqIitlLlVJUixyOjB9LGV9KTtobGpzLnJlZ2lzdGVyTGFuZ3VhZ2UoInNxbCIsZnVuY3Rpb24oZSl7dmFyIHQ9ZS5DKCItLSIsIiQiKTtyZXR1cm57Y0k6ITAsaTovWzw+e30qI10vLGM6W3tiSzoiYmVnaW4gZW5kIHN0YXJ0IGNvbW1pdCByb2xsYmFjayBzYXZlcG9pbnQgbG9jayBhbHRlciBjcmVhdGUgZHJvcCByZW5hbWUgY2FsbCBkZWxldGUgZG8gaGFuZGxlciBpbnNlcnQgbG9hZCByZXBsYWNlIHNlbGVjdCB0cnVuY2F0ZSB1cGRhdGUgc2V0IHNob3cgcHJhZ21hIGdyYW50IG1lcmdlIGRlc2NyaWJlIHVzZSBleHBsYWluIGhlbHAgZGVjbGFyZSBwcmVwYXJlIGV4ZWN1dGUgZGVhbGxvY2F0ZSByZWxlYXNlIHVubG9jayBwdXJnZSByZXNldCBjaGFuZ2Ugc3RvcCBhbmFseXplIGNhY2hlIGZsdXNoIG9wdGltaXplIHJlcGFpciBraWxsIGluc3RhbGwgdW5pbnN0YWxsIGNoZWNrc3VtIHJlc3RvcmUgY2hlY2sgYmFja3VwIHJldm9rZSBjb21tZW50IixlOi87LyxlVzohMCxsOi9bXHdcLl0rLyxrOntrZXl3b3JkOiJhYm9ydCBhYnMgYWJzb2x1dGUgYWNjIGFjY2UgYWNjZXAgYWNjZXB0IGFjY2VzcyBhY2Nlc3NlZCBhY2Nlc3NpYmxlIGFjY291bnQgYWNvcyBhY3Rpb24gYWN0aXZhdGUgYWRkIGFkZHRpbWUgYWRtaW4gYWRtaW5pc3RlciBhZHZhbmNlZCBhZHZpc2UgYWVzX2RlY3J5cHQgYWVzX2VuY3J5cHQgYWZ0ZXIgYWdlbnQgYWdncmVnYXRlIGFsaSBhbGlhIGFsaWFzIGFsbG9jYXRlIGFsbG93IGFsdGVyIGFsd2F5cyBhbmFseXplIGFuY2lsbGFyeSBhbmQgYW55IGFueWRhdGEgYW55ZGF0YXNldCBhbnlzY2hlbWEgYW55dHlwZSBhcHBseSBhcmNoaXZlIGFyY2hpdmVkIGFyY2hpdmVsb2cgYXJlIGFzIGFzYyBhc2NpaSBhc2luIGFzc2VtYmx5IGFzc2VydGlvbiBhc3NvY2lhdGUgYXN5bmNocm9ub3VzIGF0IGF0YW4gYXRuMiBhdHRyIGF0dHJpIGF0dHJpYiBhdHRyaWJ1IGF0dHJpYnV0IGF0dHJpYnV0ZSBhdHRyaWJ1dGVzIGF1ZGl0IGF1dGhlbnRpY2F0ZWQgYXV0aGVudGljYXRpb24gYXV0aGlkIGF1dGhvcnMgYXV0byBhdXRvYWxsb2NhdGUgYXV0b2RibGluayBhdXRvZXh0ZW5kIGF1dG9tYXRpYyBhdmFpbGFiaWxpdHkgYXZnIGJhY2t1cCBiYWRmaWxlIGJhc2ljZmlsZSBiZWZvcmUgYmVnaW4gYmVnaW5uaW5nIGJlbmNobWFyayBiZXR3ZWVuIGJmaWxlIGJmaWxlX2Jhc2UgYmlnIGJpZ2ZpbGUgYmluIGJpbmFyeV9kb3VibGUgYmluYXJ5X2Zsb2F0IGJpbmxvZyBiaXRfYW5kIGJpdF9jb3VudCBiaXRfbGVuZ3RoIGJpdF9vciBiaXRfeG9yIGJpdG1hcCBibG9iX2Jhc2UgYmxvY2sgYmxvY2tzaXplIGJvZHkgYm90aCBib3VuZCBidWZmZXJfY2FjaGUgYnVmZmVyX3Bvb2wgYnVpbGQgYnVsayBieSBieXRlIGJ5dGVvcmRlcm1hcmsgYnl0ZXMgY2FjaGUgY2FjaGluZyBjYWxsIGNhbGxpbmcgY2FuY2VsIGNhcGFjaXR5IGNhc2NhZGUgY2FzY2FkZWQgY2FzZSBjYXN0IGNhdGFsb2cgY2F0ZWdvcnkgY2VpbCBjZWlsaW5nIGNoYWluIGNoYW5nZSBjaGFuZ2VkIGNoYXJfYmFzZSBjaGFyX2xlbmd0aCBjaGFyYWN0ZXJfbGVuZ3RoIGNoYXJhY3RlcnMgY2hhcmFjdGVyc2V0IGNoYXJpbmRleCBjaGFyc2V0IGNoYXJzZXRmb3JtIGNoYXJzZXRpZCBjaGVjayBjaGVja3N1bSBjaGVja3N1bV9hZ2cgY2hpbGQgY2hvb3NlIGNociBjaHVuayBjbGFzcyBjbGVhbnVwIGNsZWFyIGNsaWVudCBjbG9iIGNsb2JfYmFzZSBjbG9uZSBjbG9zZSBjbHVzdGVyX2lkIGNsdXN0ZXJfcHJvYmFiaWxpdHkgY2x1c3Rlcl9zZXQgY2x1c3RlcmluZyBjb2FsZXNjZSBjb2VyY2liaWxpdHkgY29sIGNvbGxhdGUgY29sbGF0aW9uIGNvbGxlY3QgY29sdSBjb2x1bSBjb2x1bW4gY29sdW1uX3ZhbHVlIGNvbHVtbnMgY29sdW1uc191cGRhdGVkIGNvbW1lbnQgY29tbWl0IGNvbXBhY3QgY29tcGF0aWJpbGl0eSBjb21waWxlZCBjb21wbGV0ZSBjb21wb3NpdGVfbGltaXQgY29tcG91bmQgY29tcHJlc3MgY29tcHV0ZSBjb25jYXQgY29uY2F0X3dzIGNvbmN1cnJlbnQgY29uZmlybSBjb25uIGNvbm5lYyBjb25uZWN0IGNvbm5lY3RfYnlfaXNjeWNsZSBjb25uZWN0X2J5X2lzbGVhZiBjb25uZWN0X2J5X3Jvb3QgY29ubmVjdF90aW1lIGNvbm5lY3Rpb24gY29uc2lkZXIgY29uc2lzdGVudCBjb25zdGFudCBjb25zdHJhaW50IGNvbnN0cmFpbnRzIGNvbnN0cnVjdG9yIGNvbnRhaW5lciBjb250ZW50IGNvbnRlbnRzIGNvbnRleHQgY29udHJpYnV0b3JzIGNvbnRyb2xmaWxlIGNvbnYgY29udmVydCBjb252ZXJ0X3R6IGNvcnIgY29ycl9rIGNvcnJfcyBjb3JyZXNwb25kaW5nIGNvcnJ1cHRpb24gY29zIGNvc3QgY291bnQgY291bnRfYmlnIGNvdW50ZWQgY292YXJfcG9wIGNvdmFyX3NhbXAgY3B1X3Blcl9jYWxsIGNwdV9wZXJfc2Vzc2lvbiBjcmMzMiBjcmVhdGUgY3JlYXRpb24gY3JpdGljYWwgY3Jvc3MgY3ViZSBjdW1lX2Rpc3QgY3VyZGF0ZSBjdXJyZW50IGN1cnJlbnRfZGF0ZSBjdXJyZW50X3RpbWUgY3VycmVudF90aW1lc3RhbXAgY3VycmVudF91c2VyIGN1cnNvciBjdXJ0aW1lIGN1c3RvbWRhdHVtIGN5Y2xlIGRhdGEgZGF0YWJhc2UgZGF0YWJhc2VzIGRhdGFmaWxlIGRhdGFmaWxlcyBkYXRhbGVuZ3RoIGRhdGVfYWRkIGRhdGVfY2FjaGUgZGF0ZV9mb3JtYXQgZGF0ZV9zdWIgZGF0ZWFkZCBkYXRlZGlmZiBkYXRlZnJvbXBhcnRzIGRhdGVuYW1lIGRhdGVwYXJ0IGRhdGV0aW1lMmZyb21wYXJ0cyBkYXkgZGF5X3RvX3NlY29uZCBkYXluYW1lIGRheW9mbW9udGggZGF5b2Z3ZWVrIGRheW9meWVhciBkYXlzIGRiX3JvbGVfY2hhbmdlIGRidGltZXpvbmUgZGRsIGRlYWxsb2NhdGUgZGVjbGFyZSBkZWNvZGUgZGVjb21wb3NlIGRlY3JlbWVudCBkZWNyeXB0IGRlZHVwbGljYXRlIGRlZiBkZWZhIGRlZmF1IGRlZmF1bCBkZWZhdWx0IGRlZmF1bHRzIGRlZmVycmVkIGRlZmkgZGVmaW4gZGVmaW5lIGRlZ3JlZXMgZGVsYXllZCBkZWxlZ2F0ZSBkZWxldGUgZGVsZXRlX2FsbCBkZWxpbWl0ZWQgZGVtYW5kIGRlbnNlX3JhbmsgZGVwdGggZGVxdWV1ZSBkZXNfZGVjcnlwdCBkZXNfZW5jcnlwdCBkZXNfa2V5X2ZpbGUgZGVzYyBkZXNjciBkZXNjcmkgZGVzY3JpYiBkZXNjcmliZSBkZXNjcmlwdG9yIGRldGVybWluaXN0aWMgZGlhZ25vc3RpY3MgZGlmZmVyZW5jZSBkaW1lbnNpb24gZGlyZWN0X2xvYWQgZGlyZWN0b3J5IGRpc2FibGUgZGlzYWJsZV9hbGwgZGlzYWxsb3cgZGlzYXNzb2NpYXRlIGRpc2NhcmRmaWxlIGRpc2Nvbm5lY3QgZGlza2dyb3VwIGRpc3RpbmN0IGRpc3RpbmN0cm93IGRpc3RyaWJ1dGUgZGlzdHJpYnV0ZWQgZGl2IGRvIGRvY3VtZW50IGRvbWFpbiBkb3RuZXQgZG91YmxlIGRvd25ncmFkZSBkcm9wIGR1bXBmaWxlIGR1cGxpY2F0ZSBkdXJhdGlvbiBlYWNoIGVkaXRpb24gZWRpdGlvbmFibGUgZWRpdGlvbnMgZWxlbWVudCBlbGxpcHNpcyBlbHNlIGVsc2lmIGVsdCBlbXB0eSBlbmFibGUgZW5hYmxlX2FsbCBlbmNsb3NlZCBlbmNvZGUgZW5jb2RpbmcgZW5jcnlwdCBlbmQgZW5kLWV4ZWMgZW5kaWFuIGVuZm9yY2VkIGVuZ2luZSBlbmdpbmVzIGVucXVldWUgZW50ZXJwcmlzZSBlbnRpdHllc2NhcGluZyBlb21vbnRoIGVycm9yIGVycm9ycyBlc2NhcGVkIGV2YWxuYW1lIGV2YWx1YXRlIGV2ZW50IGV2ZW50ZGF0YSBldmVudHMgZXhjZXB0IGV4Y2VwdGlvbiBleGNlcHRpb25zIGV4Y2hhbmdlIGV4Y2x1ZGUgZXhjbHVkaW5nIGV4ZWN1IGV4ZWN1dCBleGVjdXRlIGV4ZW1wdCBleGlzdHMgZXhpdCBleHAgZXhwaXJlIGV4cGxhaW4gZXhwb3J0IGV4cG9ydF9zZXQgZXh0ZW5kZWQgZXh0ZW50IGV4dGVybmFsIGV4dGVybmFsXzEgZXh0ZXJuYWxfMiBleHRlcm5hbGx5IGV4dHJhY3QgZmFpbGVkIGZhaWxlZF9sb2dpbl9hdHRlbXB0cyBmYWlsb3ZlciBmYWlsdXJlIGZhciBmYXN0IGZlYXR1cmVfc2V0IGZlYXR1cmVfdmFsdWUgZmV0Y2ggZmllbGQgZmllbGRzIGZpbGUgZmlsZV9uYW1lX2NvbnZlcnQgZmlsZXN5c3RlbV9saWtlX2xvZ2dpbmcgZmluYWwgZmluaXNoIGZpcnN0IGZpcnN0X3ZhbHVlIGZpeGVkIGZsYXNoX2NhY2hlIGZsYXNoYmFjayBmbG9vciBmbHVzaCBmb2xsb3dpbmcgZm9sbG93cyBmb3IgZm9yYWxsIGZvcmNlIGZvcm0gZm9ybWEgZm9ybWF0IGZvdW5kIGZvdW5kX3Jvd3MgZnJlZWxpc3QgZnJlZWxpc3RzIGZyZWVwb29scyBmcmVzaCBmcm9tIGZyb21fYmFzZTY0IGZyb21fZGF5cyBmdHAgZnVsbCBmdW5jdGlvbiBnZW5lcmFsIGdlbmVyYXRlZCBnZXQgZ2V0X2Zvcm1hdCBnZXRfbG9jayBnZXRkYXRlIGdldHV0Y2RhdGUgZ2xvYmFsIGdsb2JhbF9uYW1lIGdsb2JhbGx5IGdvIGdvdG8gZ3JhbnQgZ3JhbnRzIGdyZWF0ZXN0IGdyb3VwIGdyb3VwX2NvbmNhdCBncm91cF9pZCBncm91cGluZyBncm91cGluZ19pZCBncm91cHMgZ3RpZF9zdWJ0cmFjdCBndWFyYW50ZWUgZ3VhcmQgaGFuZGxlciBoYXNoIGhhc2hrZXlzIGhhdmluZyBoZWEgaGVhZCBoZWFkaSBoZWFkaW4gaGVhZGluZyBoZWFwIGhlbHAgaGV4IGhpZXJhcmNoeSBoaWdoIGhpZ2hfcHJpb3JpdHkgaG9zdHMgaG91ciBodHRwIGlkIGlkZW50X2N1cnJlbnQgaWRlbnRfaW5jciBpZGVudF9zZWVkIGlkZW50aWZpZWQgaWRlbnRpdHkgaWRsZV90aW1lIGlmIGlmbnVsbCBpZ25vcmUgaWlmIGlsaWtlIGlsbSBpbW1lZGlhdGUgaW1wb3J0IGluIGluY2x1ZGUgaW5jbHVkaW5nIGluY3JlbWVudCBpbmRleCBpbmRleGVzIGluZGV4aW5nIGluZGV4dHlwZSBpbmRpY2F0b3IgaW5kaWNlcyBpbmV0Nl9hdG9uIGluZXQ2X250b2EgaW5ldF9hdG9uIGluZXRfbnRvYSBpbmZpbGUgaW5pdGlhbCBpbml0aWFsaXplZCBpbml0aWFsbHkgaW5pdHJhbnMgaW5tZW1vcnkgaW5uZXIgaW5ub2RiIGlucHV0IGluc2VydCBpbnN0YWxsIGluc3RhbmNlIGluc3RhbnRpYWJsZSBpbnN0ciBpbnRlcmZhY2UgaW50ZXJsZWF2ZWQgaW50ZXJzZWN0IGludG8gaW52YWxpZGF0ZSBpbnZpc2libGUgaXMgaXNfZnJlZV9sb2NrIGlzX2lwdjQgaXNfaXB2NF9jb21wYXQgaXNfbm90IGlzX25vdF9udWxsIGlzX3VzZWRfbG9jayBpc2RhdGUgaXNudWxsIGlzb2xhdGlvbiBpdGVyYXRlIGphdmEgam9pbiBqc29uIGpzb25fZXhpc3RzIGtlZXAga2VlcF9kdXBsaWNhdGVzIGtleSBrZXlzIGtpbGwgbGFuZ3VhZ2UgbGFyZ2UgbGFzdCBsYXN0X2RheSBsYXN0X2luc2VydF9pZCBsYXN0X3ZhbHVlIGxheCBsY2FzZSBsZWFkIGxlYWRpbmcgbGVhc3QgbGVhdmVzIGxlZnQgbGVuIGxlbmdodCBsZW5ndGggbGVzcyBsZXZlbCBsZXZlbHMgbGlicmFyeSBsaWtlIGxpa2UyIGxpa2U0IGxpa2VjIGxpbWl0IGxpbmVzIGxpbmsgbGlzdCBsaXN0YWdnIGxpdHRsZSBsbiBsb2FkIGxvYWRfZmlsZSBsb2IgbG9icyBsb2NhbCBsb2NhbHRpbWUgbG9jYWx0aW1lc3RhbXAgbG9jYXRlIGxvY2F0b3IgbG9jayBsb2NrZWQgbG9nIGxvZzEwIGxvZzIgbG9nZmlsZSBsb2dmaWxlcyBsb2dnaW5nIGxvZ2ljYWwgbG9naWNhbF9yZWFkc19wZXJfY2FsbCBsb2dvZmYgbG9nb24gbG9ncyBsb25nIGxvb3AgbG93IGxvd19wcmlvcml0eSBsb3dlciBscGFkIGxydHJpbSBsdHJpbSBtYWluIG1ha2Vfc2V0IG1ha2VkYXRlIG1ha2V0aW1lIG1hbmFnZWQgbWFuYWdlbWVudCBtYW51YWwgbWFwIG1hcHBpbmcgbWFzayBtYXN0ZXIgbWFzdGVyX3Bvc193YWl0IG1hdGNoIG1hdGNoZWQgbWF0ZXJpYWxpemVkIG1heCBtYXhleHRlbnRzIG1heGltaXplIG1heGluc3RhbmNlcyBtYXhsZW4gbWF4bG9nZmlsZXMgbWF4bG9naGlzdG9yeSBtYXhsb2dtZW1iZXJzIG1heHNpemUgbWF4dHJhbnMgbWQ1IG1lYXN1cmVzIG1lZGlhbiBtZWRpdW0gbWVtYmVyIG1lbWNvbXByZXNzIG1lbW9yeSBtZXJnZSBtaWNyb3NlY29uZCBtaWQgbWlncmF0aW9uIG1pbiBtaW5leHRlbnRzIG1pbmltdW0gbWluaW5nIG1pbnVzIG1pbnV0ZSBtaW52YWx1ZSBtaXNzaW5nIG1vZCBtb2RlIG1vZGVsIG1vZGlmaWNhdGlvbiBtb2RpZnkgbW9kdWxlIG1vbml0b3JpbmcgbW9udGggbW9udGhzIG1vdW50IG1vdmUgbW92ZW1lbnQgbXVsdGlzZXQgbXV0ZXggbmFtZSBuYW1lX2NvbnN0IG5hbWVzIG5hbiBuYXRpb25hbCBuYXRpdmUgbmF0dXJhbCBuYXYgbmNoYXIgbmNsb2IgbmVzdGVkIG5ldmVyIG5ldyBuZXdsaW5lIG5leHQgbmV4dHZhbCBubyBub193cml0ZV90b19iaW5sb2cgbm9hcmNoaXZlbG9nIG5vYXVkaXQgbm9iYWRmaWxlIG5vY2hlY2sgbm9jb21wcmVzcyBub2NvcHkgbm9jeWNsZSBub2RlbGF5IG5vZGlzY2FyZGZpbGUgbm9lbnRpdHllc2NhcGluZyBub2d1YXJhbnRlZSBub2tlZXAgbm9sb2dmaWxlIG5vbWFwcGluZyBub21heHZhbHVlIG5vbWluaW1pemUgbm9taW52YWx1ZSBub21vbml0b3Jpbmcgbm9uZSBub25lZGl0aW9uYWJsZSBub25zY2hlbWEgbm9vcmRlciBub3ByIG5vcHJvIG5vcHJvbSBub3Byb21wIG5vcHJvbXB0IG5vcmVseSBub3Jlc2V0bG9ncyBub3JldmVyc2Ugbm9ybWFsIG5vcm93ZGVwZW5kZW5jaWVzIG5vc2NoZW1hY2hlY2sgbm9zd2l0Y2ggbm90IG5vdGhpbmcgbm90aWNlIG5vdHJpbSBub3ZhbGlkYXRlIG5vdyBub3dhaXQgbnRoX3ZhbHVlIG51bGxpZiBudWxscyBudW0gbnVtYiBudW1iZSBudmFyY2hhciBudmFyY2hhcjIgb2JqZWN0IG9jaWNvbGwgb2NpZGF0ZSBvY2lkYXRldGltZSBvY2lkdXJhdGlvbiBvY2lpbnRlcnZhbCBvY2lsb2Jsb2NhdG9yIG9jaW51bWJlciBvY2lyZWYgb2NpcmVmY3Vyc29yIG9jaXJvd2lkIG9jaXN0cmluZyBvY2l0eXBlIG9jdCBvY3RldF9sZW5ndGggb2Ygb2ZmIG9mZmxpbmUgb2Zmc2V0IG9pZCBvaWRpbmRleCBvbGQgb24gb25saW5lIG9ubHkgb3BhcXVlIG9wZW4gb3BlcmF0aW9ucyBvcGVyYXRvciBvcHRpbWFsIG9wdGltaXplIG9wdGlvbiBvcHRpb25hbGx5IG9yIG9yYWNsZSBvcmFjbGVfZGF0ZSBvcmFkYXRhIG9yZCBvcmRhdWRpbyBvcmRkaWNvbSBvcmRkb2Mgb3JkZXIgb3JkaW1hZ2Ugb3JkaW5hbGl0eSBvcmR2aWRlbyBvcmdhbml6YXRpb24gb3JsYW55IG9ybHZhcnkgb3V0IG91dGVyIG91dGZpbGUgb3V0bGluZSBvdXRwdXQgb3ZlciBvdmVyZmxvdyBvdmVycmlkaW5nIHBhY2thZ2UgcGFkIHBhcmFsbGVsIHBhcmFsbGVsX2VuYWJsZSBwYXJhbWV0ZXJzIHBhcmVudCBwYXJzZSBwYXJ0aWFsIHBhcnRpdGlvbiBwYXJ0aXRpb25zIHBhc2NhbCBwYXNzaW5nIHBhc3N3b3JkIHBhc3N3b3JkX2dyYWNlX3RpbWUgcGFzc3dvcmRfbG9ja190aW1lIHBhc3N3b3JkX3JldXNlX21heCBwYXNzd29yZF9yZXVzZV90aW1lIHBhc3N3b3JkX3ZlcmlmeV9mdW5jdGlvbiBwYXRjaCBwYXRoIHBhdGluZGV4IHBjdGluY3JlYXNlIHBjdHRocmVzaG9sZCBwY3R1c2VkIHBjdHZlcnNpb24gcGVyY2VudCBwZXJjZW50X3JhbmsgcGVyY2VudGlsZV9jb250IHBlcmNlbnRpbGVfZGlzYyBwZXJmb3JtYW5jZSBwZXJpb2QgcGVyaW9kX2FkZCBwZXJpb2RfZGlmZiBwZXJtYW5lbnQgcGh5c2ljYWwgcGkgcGlwZSBwaXBlbGluZWQgcGl2b3QgcGx1Z2dhYmxlIHBsdWdpbiBwb2xpY3kgcG9zaXRpb24gcG9zdF90cmFuc2FjdGlvbiBwb3cgcG93ZXIgcHJhZ21hIHByZWJ1aWx0IHByZWNlZGVzIHByZWNlZGluZyBwcmVjaXNpb24gcHJlZGljdGlvbiBwcmVkaWN0aW9uX2Nvc3QgcHJlZGljdGlvbl9kZXRhaWxzIHByZWRpY3Rpb25fcHJvYmFiaWxpdHkgcHJlZGljdGlvbl9zZXQgcHJlcGFyZSBwcmVzZW50IHByZXNlcnZlIHByaW9yIHByaW9yaXR5IHByaXZhdGUgcHJpdmF0ZV9zZ2EgcHJpdmlsZWdlcyBwcm9jZWR1cmFsIHByb2NlZHVyZSBwcm9jZWR1cmVfYW5hbHl6ZSBwcm9jZXNzbGlzdCBwcm9maWxlcyBwcm9qZWN0IHByb21wdCBwcm90ZWN0aW9uIHB1YmxpYyBwdWJsaXNoaW5nc2VydmVybmFtZSBwdXJnZSBxdWFydGVyIHF1ZXJ5IHF1aWNrIHF1aWVzY2UgcXVvdGEgcXVvdGVuYW1lIHJhZGlhbnMgcmFpc2UgcmFuZCByYW5nZSByYW5rIHJhdyByZWFkIHJlYWRzIHJlYWRzaXplIHJlYnVpbGQgcmVjb3JkIHJlY29yZHMgcmVjb3ZlciByZWNvdmVyeSByZWN1cnNpdmUgcmVjeWNsZSByZWRvIHJlZHVjZWQgcmVmIHJlZmVyZW5jZSByZWZlcmVuY2VkIHJlZmVyZW5jZXMgcmVmZXJlbmNpbmcgcmVmcmVzaCByZWdleHBfbGlrZSByZWdpc3RlciByZWdyX2F2Z3ggcmVncl9hdmd5IHJlZ3JfY291bnQgcmVncl9pbnRlcmNlcHQgcmVncl9yMiByZWdyX3Nsb3BlIHJlZ3Jfc3h4IHJlZ3Jfc3h5IHJlamVjdCByZWtleSByZWxhdGlvbmFsIHJlbGF0aXZlIHJlbGF5bG9nIHJlbGVhc2UgcmVsZWFzZV9sb2NrIHJlbGllc19vbiByZWxvY2F0ZSByZWx5IHJlbSByZW1haW5kZXIgcmVuYW1lIHJlcGFpciByZXBlYXQgcmVwbGFjZSByZXBsaWNhdGUgcmVwbGljYXRpb24gcmVxdWlyZWQgcmVzZXQgcmVzZXRsb2dzIHJlc2l6ZSByZXNvdXJjZSByZXNwZWN0IHJlc3RvcmUgcmVzdHJpY3RlZCByZXN1bHQgcmVzdWx0X2NhY2hlIHJlc3VtYWJsZSByZXN1bWUgcmV0ZW50aW9uIHJldHVybiByZXR1cm5pbmcgcmV0dXJucyByZXVzZSByZXZlcnNlIHJldm9rZSByaWdodCBybGlrZSByb2xlIHJvbGVzIHJvbGxiYWNrIHJvbGxpbmcgcm9sbHVwIHJvdW5kIHJvdyByb3dfY291bnQgcm93ZGVwZW5kZW5jaWVzIHJvd2lkIHJvd251bSByb3dzIHJ0cmltIHJ1bGVzIHNhZmUgc2FsdCBzYW1wbGUgc2F2ZSBzYXZlcG9pbnQgc2IxIHNiMiBzYjQgc2NhbiBzY2hlbWEgc2NoZW1hY2hlY2sgc2NuIHNjb3BlIHNjcm9sbCBzZG9fZ2VvcmFzdGVyIHNkb190b3BvX2dlb21ldHJ5IHNlYXJjaCBzZWNfdG9fdGltZSBzZWNvbmQgc2VjdGlvbiBzZWN1cmVmaWxlIHNlY3VyaXR5IHNlZWQgc2VnbWVudCBzZWxlY3Qgc2VsZiBzZXF1ZW5jZSBzZXF1ZW50aWFsIHNlcmlhbGl6YWJsZSBzZXJ2ZXIgc2VydmVyZXJyb3Igc2Vzc2lvbiBzZXNzaW9uX3VzZXIgc2Vzc2lvbnNfcGVyX3VzZXIgc2V0IHNldHMgc2V0dGluZ3Mgc2hhIHNoYTEgc2hhMiBzaGFyZSBzaGFyZWQgc2hhcmVkX3Bvb2wgc2hvcnQgc2hvdyBzaHJpbmsgc2h1dGRvd24gc2lfYXZlcmFnZWNvbG9yIHNpX2NvbG9yaGlzdG9ncmFtIHNpX2ZlYXR1cmVsaXN0IHNpX3Bvc2l0aW9uYWxjb2xvciBzaV9zdGlsbGltYWdlIHNpX3RleHR1cmUgc2libGluZ3Mgc2lkIHNpZ24gc2luIHNpemUgc2l6ZV90IHNpemVzIHNraXAgc2xhdmUgc2xlZXAgc21hbGxkYXRldGltZWZyb21wYXJ0cyBzbWFsbGZpbGUgc25hcHNob3Qgc29tZSBzb25hbWUgc29ydCBzb3VuZGV4IHNvdXJjZSBzcGFjZSBzcGFyc2Ugc3BmaWxlIHNwbGl0IHNxbCBzcWxfYmlnX3Jlc3VsdCBzcWxfYnVmZmVyX3Jlc3VsdCBzcWxfY2FjaGUgc3FsX2NhbGNfZm91bmRfcm93cyBzcWxfc21hbGxfcmVzdWx0IHNxbF92YXJpYW50X3Byb3BlcnR5IHNxbGNvZGUgc3FsZGF0YSBzcWxlcnJvciBzcWxuYW1lIHNxbHN0YXRlIHNxcnQgc3F1YXJlIHN0YW5kYWxvbmUgc3RhbmRieSBzdGFydCBzdGFydGluZyBzdGFydHVwIHN0YXRlbWVudCBzdGF0aWMgc3RhdGlzdGljcyBzdGF0c19iaW5vbWlhbF90ZXN0IHN0YXRzX2Nyb3NzdGFiIHN0YXRzX2tzX3Rlc3Qgc3RhdHNfbW9kZSBzdGF0c19td190ZXN0IHN0YXRzX29uZV93YXlfYW5vdmEgc3RhdHNfdF90ZXN0XyBzdGF0c190X3Rlc3RfaW5kZXAgc3RhdHNfdF90ZXN0X29uZSBzdGF0c190X3Rlc3RfcGFpcmVkIHN0YXRzX3dzcl90ZXN0IHN0YXR1cyBzdGQgc3RkZGV2IHN0ZGRldl9wb3Agc3RkZGV2X3NhbXAgc3RkZXYgc3RvcCBzdG9yYWdlIHN0b3JlIHN0b3JlZCBzdHIgc3RyX3RvX2RhdGUgc3RyYWlnaHRfam9pbiBzdHJjbXAgc3RyaWN0IHN0cmluZyBzdHJ1Y3Qgc3R1ZmYgc3R5bGUgc3ViZGF0ZSBzdWJwYXJ0aXRpb24gc3VicGFydGl0aW9ucyBzdWJzdGl0dXRhYmxlIHN1YnN0ciBzdWJzdHJpbmcgc3VidGltZSBzdWJ0cmluZ19pbmRleCBzdWJ0eXBlIHN1Y2Nlc3Mgc3VtIHN1c3BlbmQgc3dpdGNoIHN3aXRjaG9mZnNldCBzd2l0Y2hvdmVyIHN5bmMgc3luY2hyb25vdXMgc3lub255bSBzeXMgc3lzX3htbGFnZyBzeXNhc20gc3lzYXV4IHN5c2RhdGUgc3lzZGF0ZXRpbWVvZmZzZXQgc3lzZGJhIHN5c29wZXIgc3lzdGVtIHN5c3RlbV91c2VyIHN5c3V0Y2RhdGV0aW1lIHRhYmxlIHRhYmxlcyB0YWJsZXNwYWNlIHRhbiB0ZG8gdGVtcGxhdGUgdGVtcG9yYXJ5IHRlcm1pbmF0ZWQgdGVydGlhcnlfd2VpZ2h0cyB0ZXN0IHRoYW4gdGhlbiB0aHJlYWQgdGhyb3VnaCB0aWVyIHRpZXMgdGltZSB0aW1lX2Zvcm1hdCB0aW1lX3pvbmUgdGltZWRpZmYgdGltZWZyb21wYXJ0cyB0aW1lb3V0IHRpbWVzdGFtcCB0aW1lc3RhbXBhZGQgdGltZXN0YW1wZGlmZiB0aW1lem9uZV9hYmJyIHRpbWV6b25lX21pbnV0ZSB0aW1lem9uZV9yZWdpb24gdG8gdG9fYmFzZTY0IHRvX2RhdGUgdG9fZGF5cyB0b19zZWNvbmRzIHRvZGF0ZXRpbWVvZmZzZXQgdHJhY2UgdHJhY2tpbmcgdHJhbnNhY3Rpb24gdHJhbnNhY3Rpb25hbCB0cmFuc2xhdGUgdHJhbnNsYXRpb24gdHJlYXQgdHJpZ2dlciB0cmlnZ2VyX25lc3RsZXZlbCB0cmlnZ2VycyB0cmltIHRydW5jYXRlIHRyeV9jYXN0IHRyeV9jb252ZXJ0IHRyeV9wYXJzZSB0eXBlIHViMSB1YjIgdWI0IHVjYXNlIHVuYXJjaGl2ZWQgdW5ib3VuZGVkIHVuY29tcHJlc3MgdW5kZXIgdW5kbyB1bmhleCB1bmljb2RlIHVuaWZvcm0gdW5pbnN0YWxsIHVuaW9uIHVuaXF1ZSB1bml4X3RpbWVzdGFtcCB1bmtub3duIHVubGltaXRlZCB1bmxvY2sgdW5waXZvdCB1bnJlY292ZXJhYmxlIHVuc2FmZSB1bnNpZ25lZCB1bnRpbCB1bnRydXN0ZWQgdW51c2FibGUgdW51c2VkIHVwZGF0ZSB1cGRhdGVkIHVwZ3JhZGUgdXBwZWQgdXBwZXIgdXBzZXJ0IHVybCB1cm93aWQgdXNhYmxlIHVzYWdlIHVzZSB1c2Vfc3RvcmVkX291dGxpbmVzIHVzZXIgdXNlcl9kYXRhIHVzZXJfcmVzb3VyY2VzIHVzZXJzIHVzaW5nIHV0Y19kYXRlIHV0Y190aW1lc3RhbXAgdXVpZCB1dWlkX3Nob3J0IHZhbGlkYXRlIHZhbGlkYXRlX3Bhc3N3b3JkX3N0cmVuZ3RoIHZhbGlkYXRpb24gdmFsaXN0IHZhbHVlIHZhbHVlcyB2YXIgdmFyX3NhbXAgdmFyY2hhcmMgdmFyaSB2YXJpYSB2YXJpYWIgdmFyaWFibCB2YXJpYWJsZSB2YXJpYWJsZXMgdmFyaWFuY2UgdmFycCB2YXJyYXcgdmFycmF3YyB2YXJyYXkgdmVyaWZ5IHZlcnNpb24gdmVyc2lvbnMgdmlldyB2aXJ0dWFsIHZpc2libGUgdm9pZCB3YWl0IHdhbGxldCB3YXJuaW5nIHdhcm5pbmdzIHdlZWsgd2Vla2RheSB3ZWVrb2Z5ZWFyIHdlbGxmb3JtZWQgd2hlbiB3aGVuZSB3aGVuZXYgd2hlbmV2ZSB3aGVuZXZlciB3aGVyZSB3aGlsZSB3aGl0ZXNwYWNlIHdpdGggd2l0aGluIHdpdGhvdXQgd29yayB3cmFwcGVkIHhkYiB4bWwgeG1sYWdnIHhtbGF0dHJpYnV0ZXMgeG1sY2FzdCB4bWxjb2xhdHR2YWwgeG1sZWxlbWVudCB4bWxleGlzdHMgeG1sZm9yZXN0IHhtbGluZGV4IHhtbG5hbWVzcGFjZXMgeG1scGkgeG1scXVlcnkgeG1scm9vdCB4bWxzY2hlbWEgeG1sc2VyaWFsaXplIHhtbHRhYmxlIHhtbHR5cGUgeG9yIHllYXIgeWVhcl90b19tb250aCB5ZWFycyB5ZWFyd2VlayIsbGl0ZXJhbDoidHJ1ZSBmYWxzZSBudWxsIixidWlsdF9pbjoiYXJyYXkgYmlnaW50IGJpbmFyeSBiaXQgYmxvYiBib29sZWFuIGNoYXIgY2hhcmFjdGVyIGRhdGUgZGVjIGRlY2ltYWwgZmxvYXQgaW50IGludDggaW50ZWdlciBpbnRlcnZhbCBudW1iZXIgbnVtZXJpYyByZWFsIHJlY29yZCBzZXJpYWwgc2VyaWFsOCBzbWFsbGludCB0ZXh0IHZhcmNoYXIgdmFyeWluZyB2b2lkIn0sYzpbe2NOOiJzdHJpbmciLGI6IiciLGU6IiciLGM6W2UuQkUse2I6IicnIn1dfSx7Y046InN0cmluZyIsYjonIicsZTonIicsYzpbZS5CRSx7YjonIiInfV19LHtjTjoic3RyaW5nIixiOiJgIixlOiJgIixjOltlLkJFXX0sZS5DTk0sZS5DQkNNLHRdfSxlLkNCQ00sdF19fSk7aGxqcy5yZWdpc3Rlckxhbmd1YWdlKCJyIixmdW5jdGlvbihlKXt2YXIgcj0iKFthLXpBLVpdfFxcLlthLXpBLVouXSlbYS16QS1aMC05Ll9dKiI7cmV0dXJue2M6W2UuSENNLHtiOnIsbDpyLGs6e2tleXdvcmQ6ImZ1bmN0aW9uIGlmIGluIGJyZWFrIG5leHQgcmVwZWF0IGVsc2UgZm9yIHJldHVybiBzd2l0Y2ggd2hpbGUgdHJ5IHRyeUNhdGNoIHN0b3Agd2FybmluZyByZXF1aXJlIGxpYnJhcnkgYXR0YWNoIGRldGFjaCBzb3VyY2Ugc2V0TWV0aG9kIHNldEdlbmVyaWMgc2V0R3JvdXBHZW5lcmljIHNldENsYXNzIC4uLiIsbGl0ZXJhbDoiTlVMTCBOQSBUUlVFIEZBTFNFIFQgRiBJbmYgTmFOIE5BX2ludGVnZXJffDEwIE5BX3JlYWxffDEwIE5BX2NoYXJhY3Rlcl98MTAgTkFfY29tcGxleF98MTAifSxyOjB9LHtjTjoibnVtYmVyIixiOiIwW3hYXVswLTlhLWZBLUZdK1tMaV0\/XFxiIixyOjB9LHtjTjoibnVtYmVyIixiOiJcXGQrKD86W2VFXVsrXFwtXT9cXGQqKT9MXFxiIixyOjB9LHtjTjoibnVtYmVyIixiOiJcXGQrXFwuKD8hXFxkKSg\/OmlcXGIpPyIscjowfSx7Y046Im51bWJlciIsYjoiXFxkKyg\/OlxcLlxcZCopPyg\/OltlRV1bK1xcLV0\/XFxkKik\/aT9cXGIiLHI6MH0se2NOOiJudW1iZXIiLGI6IlxcLlxcZCsoPzpbZUVdWytcXC1dP1xcZCopP2k\/XFxiIixyOjB9LHtiOiJgIixlOiJgIixyOjB9LHtjTjoic3RyaW5nIixjOltlLkJFXSx2Olt7YjonIicsZTonIid9LHtiOiInIixlOiInIn1dfV19fSk7aGxqcy5yZWdpc3Rlckxhbmd1YWdlKCJwZXJsIixmdW5jdGlvbihlKXt2YXIgdD0iZ2V0cHdlbnQgZ2V0c2VydmVudCBxdW90ZW1ldGEgbXNncmN2IHNjYWxhciBraWxsIGRibWNsb3NlIHVuZGVmIGxjIG1hIHN5c3dyaXRlIHRyIHNlbmQgdW1hc2sgc3lzb3BlbiBzaG13cml0ZSB2ZWMgcXggdXRpbWUgbG9jYWwgb2N0IHNlbWN0bCBsb2NhbHRpbWUgcmVhZHBpcGUgZG8gcmV0dXJuIGZvcm1hdCByZWFkIHNwcmludGYgZGJtb3BlbiBwb3AgZ2V0cGdycCBub3QgZ2V0cHduYW0gcmV3aW5kZGlyIHFxZmlsZW5vIHF3IGVuZHByb3RvZW50IHdhaXQgc2V0aG9zdGVudCBibGVzcyBzfDAgb3BlbmRpciBjb250aW51ZSBlYWNoIHNsZWVwIGVuZGdyZW50IHNodXRkb3duIGR1bXAgY2hvbXAgY29ubmVjdCBnZXRzb2NrbmFtZSBkaWUgc29ja2V0cGFpciBjbG9zZSBmbG9jayBleGlzdHMgaW5kZXggc2htZ2V0c3ViIGZvciBlbmRwd2VudCByZWRvIGxzdGF0IG1zZ2N0bCBzZXRwZ3JwIGFicyBleGl0IHNlbGVjdCBwcmludCByZWYgZ2V0aG9zdGJ5YWRkciB1bnNoaWZ0IGZjbnRsIHN5c2NhbGwgZ290byBnZXRuZXRieWFkZHIgam9pbiBnbXRpbWUgc3ltbGluayBzZW1nZXQgc3BsaWNlIHh8MCBnZXRwZWVybmFtZSByZWN2IGxvZyBzZXRzb2Nrb3B0IGNvcyBsYXN0IHJldmVyc2UgZ2V0aG9zdGJ5bmFtZSBnZXRncm5hbSBzdHVkeSBmb3JtbGluZSBlbmRob3N0ZW50IHRpbWVzIGNob3AgbGVuZ3RoIGdldGhvc3RlbnQgZ2V0bmV0ZW50IHBhY2sgZ2V0cHJvdG9lbnQgZ2V0c2VydmJ5bmFtZSByYW5kIG1rZGlyIHBvcyBjaG1vZCB5fDAgc3Vic3RyIGVuZG5ldGVudCBwcmludGYgbmV4dCBvcGVuIG1zZ3NuZCByZWFkZGlyIHVzZSB1bmxpbmsgZ2V0c29ja29wdCBnZXRwcmlvcml0eSByaW5kZXggd2FudGFycmF5IGhleCBzeXN0ZW0gZ2V0c2VydmJ5cG9ydCBlbmRzZXJ2ZW50IGludCBjaHIgdW50aWUgcm1kaXIgcHJvdG90eXBlIHRlbGwgbGlzdGVuIGZvcmsgc2htcmVhZCB1Y2ZpcnN0IHNldHByb3RvZW50IGVsc2Ugc3lzc2VlayBsaW5rIGdldGdyZ2lkIHNobWN0bCB3YWl0cGlkIHVucGFjayBnZXRuZXRieW5hbWUgcmVzZXQgY2hkaXIgZ3JlcCBzcGxpdCByZXF1aXJlIGNhbGxlciBsY2ZpcnN0IHVudGlsIHdhcm4gd2hpbGUgdmFsdWVzIHNoaWZ0IHRlbGxkaXIgZ2V0cHd1aWQgbXkgZ2V0cHJvdG9ieW51bWJlciBkZWxldGUgYW5kIHNvcnQgdWMgZGVmaW5lZCBzcmFuZCBhY2NlcHQgcGFja2FnZSBzZWVrZGlyIGdldHByb3RvYnluYW1lIHNlbW9wIG91ciByZW5hbWUgc2VlayBpZiBxfDAgY2hyb290IHN5c3JlYWQgc2V0cHdlbnQgbm8gY3J5cHQgZ2V0YyBjaG93biBzcXJ0IHdyaXRlIHNldG5ldGVudCBzZXRwcmlvcml0eSBmb3JlYWNoIHRpZSBzaW4gbXNnZ2V0IG1hcCBzdGF0IGdldGxvZ2luIHVubGVzcyBlbHNpZiB0cnVuY2F0ZSBleGVjIGtleXMgZ2xvYiB0aWVkIGNsb3NlZGlyaW9jdGwgc29ja2V0IHJlYWRsaW5rIGV2YWwgeG9yIHJlYWRsaW5lIGJpbm1vZGUgc2V0c2VydmVudCBlb2Ygb3JkIGJpbmQgYWxhcm0gcGlwZSBhdGFuMiBnZXRncmVudCBleHAgdGltZSBwdXNoIHNldGdyZW50IGd0IGx0IG9yIG5lIG18MCBicmVhayBnaXZlbiBzYXkgc3RhdGUgd2hlbiIscj17Y046InN1YnN0IixiOiJbJEBdXFx7IixlOiJcXH0iLGs6dH0scz17YjoiLT57IixlOiJ9In0sbj17djpbe2I6L1wkXGQvfSx7YjovW1wkJUBdKFxeXHdcYnwjXHcrKDo6XHcrKSp8e1x3K318XHcrKDo6XHcqKSopL30se2I6L1tcJCVAXVteXHNcd3tdLyxyOjB9XX0saT1bZS5CRSxyLG5dLG89W24sZS5IQ00sZS5DKCJeXFw9XFx3IiwiXFw9Y3V0Iix7ZVc6ITB9KSxzLHtjTjoic3RyaW5nIixjOmksdjpbe2I6InFbcXd4cl0\/XFxzKlxcKCIsZToiXFwpIixyOjV9LHtiOiJxW3F3eHJdP1xccypcXFsiLGU6IlxcXSIscjo1fSx7YjoicVtxd3hyXT9cXHMqXFx7IixlOiJcXH0iLHI6NX0se2I6InFbcXd4cl0\/XFxzKlxcfCIsZToiXFx8IixyOjV9LHtiOiJxW3F3eHJdP1xccypcXDwiLGU6IlxcPiIscjo1fSx7YjoicXdcXHMrcSIsZToicSIscjo1fSx7YjoiJyIsZToiJyIsYzpbZS5CRV19LHtiOiciJyxlOiciJ30se2I6ImAiLGU6ImAiLGM6W2UuQkVdfSx7Yjoie1xcdyt9IixjOltdLHI6MH0se2I6Ii0\/XFx3K1xccypcXD1cXD4iLGM6W10scjowfV19LHtjTjoibnVtYmVyIixiOiIoXFxiMFswLTdfXSspfChcXGIweFswLTlhLWZBLUZfXSspfChcXGJbMS05XVswLTlfXSooXFwuWzAtOV9dKyk\/KXxbMF9dXFxiIixyOjB9LHtiOiIoXFwvXFwvfCIrZS5SU1IrInxcXGIoc3BsaXR8cmV0dXJufHByaW50fHJldmVyc2V8Z3JlcClcXGIpXFxzKiIsazoic3BsaXQgcmV0dXJuIHByaW50IHJldmVyc2UgZ3JlcCIscjowLGM6W2UuSENNLHtjTjoicmVnZXhwIixiOiIoc3x0cnx5KS8oXFxcXC58W14vXSkqLyhcXFxcLnxbXi9dKSovW2Etel0qIixyOjEwfSx7Y046InJlZ2V4cCIsYjoiKG18cXIpPy8iLGU6Ii9bYS16XSoiLGM6W2UuQkVdLHI6MH1dfSx7Y046ImZ1bmN0aW9uIixiSzoic3ViIixlOiIoXFxzKlxcKC4qP1xcKSk\/Wzt7XSIsZUU6ITAscjo1LGM6W2UuVE1dfSx7YjoiLVxcd1xcYiIscjowfSx7YjoiXl9fREFUQV9fJCIsZToiXl9fRU5EX18kIixzTDoibW9qb2xpY2lvdXMiLGM6W3tiOiJeQEAuKiIsZToiJCIsY046ImNvbW1lbnQifV19XTtyZXR1cm4gci5jPW8scy5jPW8se2FsaWFzZXM6WyJwbCIsInBtIl0sbDovW1x3XC5dKy8sazp0LGM6b319KTtobGpzLnJlZ2lzdGVyTGFuZ3VhZ2UoImluaSIsZnVuY3Rpb24oZSl7dmFyIGI9e2NOOiJzdHJpbmciLGM6W2UuQkVdLHY6W3tiOiInJyciLGU6IicnJyIscjoxMH0se2I6JyIiIicsZTonIiIiJyxyOjEwfSx7YjonIicsZTonIid9LHtiOiInIixlOiInIn1dfTtyZXR1cm57YWxpYXNlczpbInRvbWwiXSxjSTohMCxpOi9cUy8sYzpbZS5DKCI7IiwiJCIpLGUuSENNLHtjTjoic2VjdGlvbiIsYjovXlxzKlxbKy8sZTovXF0rL30se2I6L15bYS16MC05XFtcXV8tXStccyo9XHMqLyxlOiIkIixyQjohMCxjOlt7Y046ImF0dHIiLGI6L1thLXowLTlcW1xdXy1dKy99LHtiOi89LyxlVzohMCxyOjAsYzpbe2NOOiJsaXRlcmFsIixiOi9cYm9ufG9mZnx0cnVlfGZhbHNlfHllc3xub1xiL30se2NOOiJ2YXJpYWJsZSIsdjpbe2I6L1wkW1x3XGQiXVtcd1xkX10qL30se2I6L1wkXHsoLio\/KX0vfV19LGIse2NOOiJudW1iZXIiLGI6LyhbXCtcLV0rKT9bXGRdK19bXGRfXSsvfSxlLk5NXX1dfV19fSk7aGxqcy5yZWdpc3Rlckxhbmd1YWdlKCJkaWZmIixmdW5jdGlvbihlKXtyZXR1cm57YWxpYXNlczpbInBhdGNoIl0sYzpbe2NOOiJtZXRhIixyOjEwLHY6W3tiOi9eQEAgK1wtXGQrLFxkKyArXCtcZCssXGQrICtAQCQvfSx7YjovXlwqXCpcKiArXGQrLFxkKyArXCpcKlwqXCokL30se2I6L15cLVwtXC0gK1xkKyxcZCsgK1wtXC1cLVwtJC99XX0se2NOOiJjb21tZW50Iix2Olt7YjovSW5kZXg6IC8sZTovJC99LHtiOi89ezMsfS8sZTovJC99LHtiOi9eXC17M30vLGU6LyQvfSx7YjovXlwqezN9IC8sZTovJC99LHtiOi9eXCt7M30vLGU6LyQvfSx7YjovXCp7NX0vLGU6L1wqezV9JC99XX0se2NOOiJhZGRpdGlvbiIsYjoiXlxcKyIsZToiJCJ9LHtjTjoiZGVsZXRpb24iLGI6Il5cXC0iLGU6IiQifSx7Y046ImFkZGl0aW9uIixiOiJeXFwhIixlOiIkIn1dfX0pO2hsanMucmVnaXN0ZXJMYW5ndWFnZSgiZ28iLGZ1bmN0aW9uKGUpe3ZhciB0PXtrZXl3b3JkOiJicmVhayBkZWZhdWx0IGZ1bmMgaW50ZXJmYWNlIHNlbGVjdCBjYXNlIG1hcCBzdHJ1Y3QgY2hhbiBlbHNlIGdvdG8gcGFja2FnZSBzd2l0Y2ggY29uc3QgZmFsbHRocm91Z2ggaWYgcmFuZ2UgdHlwZSBjb250aW51ZSBmb3IgaW1wb3J0IHJldHVybiB2YXIgZ28gZGVmZXIgYm9vbCBieXRlIGNvbXBsZXg2NCBjb21wbGV4MTI4IGZsb2F0MzIgZmxvYXQ2NCBpbnQ4IGludDE2IGludDMyIGludDY0IHN0cmluZyB1aW50OCB1aW50MTYgdWludDMyIHVpbnQ2NCBpbnQgdWludCB1aW50cHRyIHJ1bmUiLGxpdGVyYWw6InRydWUgZmFsc2UgaW90YSBuaWwiLGJ1aWx0X2luOiJhcHBlbmQgY2FwIGNsb3NlIGNvbXBsZXggY29weSBpbWFnIGxlbiBtYWtlIG5ldyBwYW5pYyBwcmludCBwcmludGxuIHJlYWwgcmVjb3ZlciBkZWxldGUifTtyZXR1cm57YWxpYXNlczpbImdvbGFuZyJdLGs6dCxpOiI8LyIsYzpbZS5DTENNLGUuQ0JDTSx7Y046InN0cmluZyIsdjpbZS5RU00se2I6IiciLGU6IlteXFxcXF0nIn0se2I6ImAiLGU6ImAifV19LHtjTjoibnVtYmVyIix2Olt7YjplLkNOUisiW2RmbHNpXSIscjoxfSxlLkNOTV19LHtiOi86PS99LHtjTjoiZnVuY3Rpb24iLGJLOiJmdW5jIixlOi9ccypcey8sZUU6ITAsYzpbZS5UTSx7Y046InBhcmFtcyIsYjovXCgvLGU6L1wpLyxrOnQsaTovWyInXS99XX1dfX0pO2hsanMucmVnaXN0ZXJMYW5ndWFnZSgiYmFzaCIsZnVuY3Rpb24oZSl7dmFyIHQ9e2NOOiJ2YXJpYWJsZSIsdjpbe2I6L1wkW1x3XGQjQF1bXHdcZF9dKi99LHtiOi9cJFx7KC4qPyl9L31dfSxzPXtjTjoic3RyaW5nIixiOi8iLyxlOi8iLyxjOltlLkJFLHQse2NOOiJ2YXJpYWJsZSIsYjovXCRcKC8sZTovXCkvLGM6W2UuQkVdfV19LGE9e2NOOiJzdHJpbmciLGI6LycvLGU6LycvfTtyZXR1cm57YWxpYXNlczpbInNoIiwienNoIl0sbDovXGItP1thLXpcLl9dK1xiLyxrOntrZXl3b3JkOiJpZiB0aGVuIGVsc2UgZWxpZiBmaSBmb3Igd2hpbGUgaW4gZG8gZG9uZSBjYXNlIGVzYWMgZnVuY3Rpb24iLGxpdGVyYWw6InRydWUgZmFsc2UiLGJ1aWx0X2luOiJicmVhayBjZCBjb250aW51ZSBldmFsIGV4ZWMgZXhpdCBleHBvcnQgZ2V0b3B0cyBoYXNoIHB3ZCByZWFkb25seSByZXR1cm4gc2hpZnQgdGVzdCB0aW1lcyB0cmFwIHVtYXNrIHVuc2V0IGFsaWFzIGJpbmQgYnVpbHRpbiBjYWxsZXIgY29tbWFuZCBkZWNsYXJlIGVjaG8gZW5hYmxlIGhlbHAgbGV0IGxvY2FsIGxvZ291dCBtYXBmaWxlIHByaW50ZiByZWFkIHJlYWRhcnJheSBzb3VyY2UgdHlwZSB0eXBlc2V0IHVsaW1pdCB1bmFsaWFzIHNldCBzaG9wdCBhdXRvbG9hZCBiZyBiaW5ka2V5IGJ5ZSBjYXAgY2hkaXIgY2xvbmUgY29tcGFyZ3VtZW50cyBjb21wY2FsbCBjb21wY3RsIGNvbXBkZXNjcmliZSBjb21wZmlsZXMgY29tcGdyb3VwcyBjb21wcXVvdGUgY29tcHRhZ3MgY29tcHRyeSBjb21wdmFsdWVzIGRpcnMgZGlzYWJsZSBkaXNvd24gZWNob3RjIGVjaG90aSBlbXVsYXRlIGZjIGZnIGZsb2F0IGZ1bmN0aW9ucyBnZXRjYXAgZ2V0bG4gaGlzdG9yeSBpbnRlZ2VyIGpvYnMga2lsbCBsaW1pdCBsb2cgbm9nbG9iIHBvcGQgcHJpbnQgcHVzaGQgcHVzaGxuIHJlaGFzaCBzY2hlZCBzZXRjYXAgc2V0b3B0IHN0YXQgc3VzcGVuZCB0dHljdGwgdW5mdW5jdGlvbiB1bmhhc2ggdW5saW1pdCB1bnNldG9wdCB2YXJlZCB3YWl0IHdoZW5jZSB3aGVyZSB3aGljaCB6Y29tcGlsZSB6Zm9ybWF0IHpmdHAgemxlIHptb2Rsb2FkIHpwYXJzZW9wdHMgenByb2YgenB0eSB6cmVnZXhwYXJzZSB6c29ja2V0IHpzdHlsZSB6dGNwIixfOiItbmUgLWVxIC1sdCAtZ3QgLWYgLWQgLWUgLXMgLWwgLWEifSxjOlt7Y046Im1ldGEiLGI6L14jIVteXG5dK3NoXHMqJC8scjoxMH0se2NOOiJmdW5jdGlvbiIsYjovXHdbXHdcZF9dKlxzKlwoXHMqXClccypcey8sckI6ITAsYzpbZS5pbmhlcml0KGUuVE0se2I6L1x3W1x3XGRfXSovfSldLHI6MH0sZS5IQ00scyxhLHRdfX0pO2hsanMucmVnaXN0ZXJMYW5ndWFnZSgicHl0aG9uIixmdW5jdGlvbihlKXt2YXIgcj17a2V5d29yZDoiYW5kIGVsaWYgaXMgZ2xvYmFsIGFzIGluIGlmIGZyb20gcmFpc2UgZm9yIGV4Y2VwdCBmaW5hbGx5IHByaW50IGltcG9ydCBwYXNzIHJldHVybiBleGVjIGVsc2UgYnJlYWsgbm90IHdpdGggY2xhc3MgYXNzZXJ0IHlpZWxkIHRyeSB3aGlsZSBjb250aW51ZSBkZWwgb3IgZGVmIGxhbWJkYSBhc3luYyBhd2FpdCBub25sb2NhbHwxMCBOb25lIFRydWUgRmFsc2UiLGJ1aWx0X2luOiJFbGxpcHNpcyBOb3RJbXBsZW1lbnRlZCJ9LGI9e2NOOiJtZXRhIixiOi9eKD4+PnxcLlwuXC4pIC99LGM9e2NOOiJzdWJzdCIsYjovXHsvLGU6L1x9LyxrOnIsaTovIy99LGE9e2NOOiJzdHJpbmciLGM6W2UuQkVdLHY6W3tiOi8odXxiKT9yPycnJy8sZTovJycnLyxjOltiXSxyOjEwfSx7YjovKHV8Yik\/cj8iIiIvLGU6LyIiIi8sYzpbYl0scjoxMH0se2I6LyhmcnxyZnxmKScnJy8sZTovJycnLyxjOltiLGNdfSx7YjovKGZyfHJmfGYpIiIiLyxlOi8iIiIvLGM6W2IsY119LHtiOi8odXxyfHVyKScvLGU6LycvLHI6MTB9LHtiOi8odXxyfHVyKSIvLGU6LyIvLHI6MTB9LHtiOi8oYnxiciknLyxlOi8nL30se2I6LyhifGJyKSIvLGU6LyIvfSx7YjovKGZyfHJmfGYpJy8sZTovJy8sYzpbY119LHtiOi8oZnJ8cmZ8ZikiLyxlOi8iLyxjOltjXX0sZS5BU00sZS5RU01dfSxzPXtjTjoibnVtYmVyIixyOjAsdjpbe2I6ZS5CTlIrIltsTGpKXT8ifSx7YjoiXFxiKDBvWzAtN10rKVtsTGpKXT8ifSx7YjplLkNOUisiW2xMakpdPyJ9XX0saT17Y046InBhcmFtcyIsYjovXCgvLGU6L1wpLyxjOlsic2VsZiIsYixzLGFdfTtyZXR1cm4gYy5jPVthLHMsYl0se2FsaWFzZXM6WyJweSIsImd5cCJdLGs6cixpOi8oPFwvfC0+fFw\/KXw9Pi8sYzpbYixzLGEsZS5IQ00se3Y6W3tjTjoiZnVuY3Rpb24iLGJLOiJkZWYifSx7Y046ImNsYXNzIixiSzoiY2xhc3MifV0sZTovOi8saTovWyR7PTtcbixdLyxjOltlLlVUTSxpLHtiOi8tPi8sZVc6ITAsazoiTm9uZSJ9XX0se2NOOiJtZXRhIixiOi9eW1x0IF0qQC8sZTovJC99LHtiOi9cYihwcmludHxleGVjKVwoL31dfX0pO2hsanMucmVnaXN0ZXJMYW5ndWFnZSgianVsaWEiLGZ1bmN0aW9uKGUpe3ZhciByPXtrZXl3b3JkOiJpbiBpc2Egd2hlcmUgYmFyZW1vZHVsZSBiZWdpbiBicmVhayBjYXRjaCBjY2FsbCBjb25zdCBjb250aW51ZSBkbyBlbHNlIGVsc2VpZiBlbmQgZXhwb3J0IGZhbHNlIGZpbmFsbHkgZm9yIGZ1bmN0aW9uIGdsb2JhbCBpZiBpbXBvcnQgaW1wb3J0YWxsIGxldCBsb2NhbCBtYWNybyBtb2R1bGUgcXVvdGUgcmV0dXJuIHRydWUgdHJ5IHVzaW5nIHdoaWxlIHR5cGUgaW1tdXRhYmxlIGFic3RyYWN0IGJpdHN0eXBlIHR5cGVhbGlhcyAiLGxpdGVyYWw6InRydWUgZmFsc2UgQVJHUyBDX05VTEwgRGV2TnVsbCBFTkRJQU5fQk9NIEVOViBJIEluZiBJbmYxNiBJbmYzMiBJbmY2NCBJbnNlcnRpb25Tb3J0IEpVTElBX0hPTUUgTE9BRF9QQVRIIE1lcmdlU29ydCBOYU4gTmFOMTYgTmFOMzIgTmFONjQgUFJPR1JBTV9GSUxFIFF1aWNrU29ydCBSb3VuZERvd24gUm91bmRGcm9tWmVybyBSb3VuZE5lYXJlc3QgUm91bmROZWFyZXN0VGllc0F3YXkgUm91bmROZWFyZXN0VGllc1VwIFJvdW5kVG9aZXJvIFJvdW5kVXAgU1RERVJSIFNURElOIFNURE9VVCBWRVJTSU9OIGNhdGFsYW4gZXwwIGV1fDAgZXVsZXJnYW1tYSBnb2xkZW4gaW0gbm90aGluZyBwaSDOsyDPgCDPhiAiLGJ1aWx0X2luOiJBTlkgQWJzdHJhY3RBcnJheSBBYnN0cmFjdENoYW5uZWwgQWJzdHJhY3RGbG9hdCBBYnN0cmFjdE1hdHJpeCBBYnN0cmFjdFJORyBBYnN0cmFjdFNlcmlhbGl6ZXIgQWJzdHJhY3RTZXQgQWJzdHJhY3RTcGFyc2VBcnJheSBBYnN0cmFjdFNwYXJzZU1hdHJpeCBBYnN0cmFjdFNwYXJzZVZlY3RvciBBYnN0cmFjdFN0cmluZyBBYnN0cmFjdFVuaXRSYW5nZSBBYnN0cmFjdFZlY09yTWF0IEFic3RyYWN0VmVjdG9yIEFueSBBcmd1bWVudEVycm9yIEFycmF5IEFzc2VydGlvbkVycm9yIEFzc29jaWF0aXZlIEJhc2U2NERlY29kZVBpcGUgQmFzZTY0RW5jb2RlUGlwZSBCaWRpYWdvbmFsIEJpZ0Zsb2F0IEJpZ0ludCBCaXRBcnJheSBCaXRNYXRyaXggQml0VmVjdG9yIEJvb2wgQm91bmRzRXJyb3IgQnVmZmVyU3RyZWFtIENhY2hpbmdQb29sIENhcHR1cmVkRXhjZXB0aW9uIENhcnRlc2lhbkluZGV4IENhcnRlc2lhblJhbmdlIENjaGFyIENkb3VibGUgQ2Zsb2F0IENoYW5uZWwgQ2hhciBDaW50IENpbnRtYXhfdCBDbG9uZyBDbG9uZ2xvbmcgQ2x1c3Rlck1hbmFnZXIgQ21kIENvZGVJbmZvIENvbG9uIENvbXBsZXggQ29tcGxleDEyOCBDb21wbGV4MzIgQ29tcGxleDY0IENvbXBvc2l0ZUV4Y2VwdGlvbiBDb25kaXRpb24gQ29uakFycmF5IENvbmpNYXRyaXggQ29ualZlY3RvciBDcHRyZGlmZl90IENzaG9ydCBDc2l6ZV90IENzc2l6ZV90IENzdHJpbmcgQ3VjaGFyIEN1aW50IEN1aW50bWF4X3QgQ3Vsb25nIEN1bG9uZ2xvbmcgQ3VzaG9ydCBDd2NoYXJfdCBDd3N0cmluZyBEYXRhVHlwZSBEYXRlIERhdGVGb3JtYXQgRGF0ZVRpbWUgRGVuc2VBcnJheSBEZW5zZU1hdHJpeCBEZW5zZVZlY09yTWF0IERlbnNlVmVjdG9yIERpYWdvbmFsIERpY3QgRGltZW5zaW9uTWlzbWF0Y2ggRGltcyBEaXJlY3RJbmRleFN0cmluZyBEaXNwbGF5IERpdmlkZUVycm9yIERvbWFpbkVycm9yIEVPRkVycm9yIEVhY2hMaW5lIEVudW0gRW51bWVyYXRlIEVycm9yRXhjZXB0aW9uIEV4Y2VwdGlvbiBFeHBvbmVudGlhbEJhY2tPZmYgRXhwciBGYWN0b3JpemF0aW9uIEZpbGVNb25pdG9yIEZsb2F0MTYgRmxvYXQzMiBGbG9hdDY0IEZ1bmN0aW9uIEZ1dHVyZSBHbG9iYWxSZWYgR290b05vZGUgSFRNTCBIZXJtaXRpYW4gSU8gSU9CdWZmZXIgSU9Db250ZXh0IElPU3RyZWFtIElQQWRkciBJUHY0IElQdjYgSW5kZXhDYXJ0ZXNpYW4gSW5kZXhMaW5lYXIgSW5kZXhTdHlsZSBJbmV4YWN0RXJyb3IgSW5pdEVycm9yIEludCBJbnQxMjggSW50MTYgSW50MzIgSW50NjQgSW50OCBJbnRTZXQgSW50ZWdlciBJbnRlcnJ1cHRFeGNlcHRpb24gSW52YWxpZFN0YXRlRXhjZXB0aW9uIElycmF0aW9uYWwgS2V5RXJyb3IgTGFiZWxOb2RlIExpblNwYWNlIExpbmVOdW1iZXJOb2RlIExvYWRFcnJvciBMb3dlclRyaWFuZ3VsYXIgTUlNRSBNYXRyaXggTWVyc2VubmVUd2lzdGVyIE1ldGhvZCBNZXRob2RFcnJvciBNZXRob2RUYWJsZSBNb2R1bGUgTlR1cGxlIE5ld3Zhck5vZGUgTnVsbEV4Y2VwdGlvbiBOdWxsYWJsZSBOdW1iZXIgT2JqZWN0SWREaWN0IE9yZGluYWxSYW5nZSBPdXRPZk1lbW9yeUVycm9yIE92ZXJmbG93RXJyb3IgUGFpciBQYXJzZUVycm9yIFBhcnRpYWxRdWlja1NvcnQgUGVybXV0ZWREaW1zQXJyYXkgUGlwZSBQb2xsaW5nRmlsZVdhdGNoZXIgUHJvY2Vzc0V4aXRlZEV4Y2VwdGlvbiBQdHIgUXVvdGVOb2RlIFJhbmRvbURldmljZSBSYW5nZSBSYW5nZUluZGV4IFJhdGlvbmFsIFJhd0ZEIFJlYWRPbmx5TWVtb3J5RXJyb3IgUmVhbCBSZWVudHJhbnRMb2NrIFJlZiBSZWdleCBSZWdleE1hdGNoIFJlbW90ZUNoYW5uZWwgUmVtb3RlRXhjZXB0aW9uIFJldlN0cmluZyBSb3VuZGluZ01vZGUgUm93VmVjdG9yIFNTQVZhbHVlIFNlZ21lbnRhdGlvbkZhdWx0IFNlcmlhbGl6YXRpb25TdGF0ZSBTZXQgU2hhcmVkQXJyYXkgU2hhcmVkTWF0cml4IFNoYXJlZFZlY3RvciBTaWduZWQgU2ltcGxlVmVjdG9yIFNsb3QgU2xvdE51bWJlciBTcGFyc2VNYXRyaXhDU0MgU3BhcnNlVmVjdG9yIFN0YWNrRnJhbWUgU3RhY2tPdmVyZmxvd0Vycm9yIFN0YWNrVHJhY2UgU3RlcFJhbmdlIFN0ZXBSYW5nZUxlbiBTdHJpZGVkQXJyYXkgU3RyaWRlZE1hdHJpeCBTdHJpZGVkVmVjT3JNYXQgU3RyaWRlZFZlY3RvciBTdHJpbmcgU3ViQXJyYXkgU3ViU3RyaW5nIFN5bVRyaWRpYWdvbmFsIFN5bWJvbCBTeW1tZXRyaWMgU3lzdGVtRXJyb3IgVENQU29ja2V0IFRhc2sgVGV4dCBUZXh0RGlzcGxheSBUaW1lciBUcmlkaWFnb25hbCBUdXBsZSBUeXBlIFR5cGVFcnJvciBUeXBlTWFwRW50cnkgVHlwZU1hcExldmVsIFR5cGVOYW1lIFR5cGVWYXIgVHlwZWRTbG90IFVEUFNvY2tldCBVSW50IFVJbnQxMjggVUludDE2IFVJbnQzMiBVSW50NjQgVUludDggVW5kZWZSZWZFcnJvciBVbmRlZlZhckVycm9yIFVuaWNvZGVFcnJvciBVbmlmb3JtU2NhbGluZyBVbmlvbiBVbmlvbkFsbCBVbml0UmFuZ2UgVW5zaWduZWQgVXBwZXJUcmlhbmd1bGFyIFZhbCBWYXJhcmcgVmVjRWxlbWVudCBWZWNPck1hdCBWZWN0b3IgVmVyc2lvbk51bWJlciBWb2lkIFdlYWtLZXlEaWN0IFdlYWtSZWYgV29ya2VyQ29uZmlnIFdvcmtlclBvb2wgIn0sdD0iW0EtWmEtel9cXHUwMEExLVxcdUZGRkZdW0EtWmEtel8wLTlcXHUwMEExLVxcdUZGRkZdKiIsYT17bDp0LGs6cixpOi88XC8vfSxuPXtjTjoibnVtYmVyIixiOi8oXGIweFtcZF9dKihcLltcZF9dKik\/fDB4XC5cZFtcZF9dKilwWy0rXT9cZCt8XGIwW2JveF1bYS1mQS1GMC05XVthLWZBLUYwLTlfXSp8KFxiXGRbXGRfXSooXC5bXGRfXSopP3xcLlxkW1xkX10qKShbZUVmRl1bLStdP1xkKyk\/LyxyOjB9LG89e2NOOiJzdHJpbmciLGI6LycoLnxcXFt4WHVVXVthLXpBLVowLTldKyknL30saT17Y046InN1YnN0IixiOi9cJFwoLyxlOi9cKS8sazpyfSxsPXtjTjoidmFyaWFibGUiLGI6IlxcJCIrdH0sYz17Y046InN0cmluZyIsYzpbZS5CRSxpLGxdLHY6W3tiOi9cdyoiIiIvLGU6LyIiIlx3Ki8scjoxMH0se2I6L1x3KiIvLGU6LyJcdyovfV19LHM9e2NOOiJzdHJpbmciLGM6W2UuQkUsaSxsXSxiOiJgIixlOiJgIn0sZD17Y046Im1ldGEiLGI6IkAiK3R9LHU9e2NOOiJjb21tZW50Iix2Olt7YjoiIz0iLGU6Ij0jIixyOjEwfSx7YjoiIyIsZToiJCJ9XX07cmV0dXJuIGEuYz1bbixvLGMscyxkLHUsZS5IQ00se2NOOiJrZXl3b3JkIixiOiJcXGIoKChhYnN0cmFjdHxwcmltaXRpdmUpXFxzKyl0eXBlfChtdXRhYmxlXFxzKyk\/c3RydWN0KVxcYiJ9LHtiOi88Oi99XSxpLmM9YS5jLGF9KTtobGpzLnJlZ2lzdGVyTGFuZ3VhZ2UoImNvZmZlZXNjcmlwdCIsZnVuY3Rpb24oZSl7dmFyIGM9e2tleXdvcmQ6ImluIGlmIGZvciB3aGlsZSBmaW5hbGx5IG5ldyBkbyByZXR1cm4gZWxzZSBicmVhayBjYXRjaCBpbnN0YW5jZW9mIHRocm93IHRyeSB0aGlzIHN3aXRjaCBjb250aW51ZSB0eXBlb2YgZGVsZXRlIGRlYnVnZ2VyIHN1cGVyIHlpZWxkIGltcG9ydCBleHBvcnQgZnJvbSBhcyBkZWZhdWx0IGF3YWl0IHRoZW4gdW5sZXNzIHVudGlsIGxvb3Agb2YgYnkgd2hlbiBhbmQgb3IgaXMgaXNudCBub3QiLGxpdGVyYWw6InRydWUgZmFsc2UgbnVsbCB1bmRlZmluZWQgeWVzIG5vIG9uIG9mZiIsYnVpbHRfaW46Im5wbSByZXF1aXJlIGNvbnNvbGUgcHJpbnQgbW9kdWxlIGdsb2JhbCB3aW5kb3cgZG9jdW1lbnQifSxuPSJbQS1aYS16JF9dWzAtOUEtWmEteiRfXSoiLHI9e2NOOiJzdWJzdCIsYjovI1x7LyxlOi99LyxrOmN9LGk9W2UuQk5NLGUuaW5oZXJpdChlLkNOTSx7c3RhcnRzOntlOiIoXFxzKi8pPyIscjowfX0pLHtjTjoic3RyaW5nIix2Olt7YjovJycnLyxlOi8nJycvLGM6W2UuQkVdfSx7YjovJy8sZTovJy8sYzpbZS5CRV19LHtiOi8iIiIvLGU6LyIiIi8sYzpbZS5CRSxyXX0se2I6LyIvLGU6LyIvLGM6W2UuQkUscl19XX0se2NOOiJyZWdleHAiLHY6W3tiOiIvLy8iLGU6Ii8vLyIsYzpbcixlLkhDTV19LHtiOiIvL1tnaW1dKiIscjowfSx7YjovXC8oPyFbICpdKShcXFwvfC4pKj9cL1tnaW1dKig\/PVxXfCQpL31dfSx7YjoiQCIrbn0se3NMOiJqYXZhc2NyaXB0IixlQjohMCxlRTohMCx2Olt7YjoiYGBgIixlOiJgYGAifSx7YjoiYCIsZToiYCJ9XX1dO3IuYz1pO3ZhciBzPWUuaW5oZXJpdChlLlRNLHtiOm59KSx0PSIoXFwoLipcXCkpP1xccypcXEJbLT1dPiIsbz17Y046InBhcmFtcyIsYjoiXFwoW15cXChdIixyQjohMCxjOlt7YjovXCgvLGU6L1wpLyxrOmMsYzpbInNlbGYiXS5jb25jYXQoaSl9XX07cmV0dXJue2FsaWFzZXM6WyJjb2ZmZWUiLCJjc29uIiwiaWNlZCJdLGs6YyxpOi9cL1wqLyxjOmkuY29uY2F0KFtlLkMoIiMjIyIsIiMjIyIpLGUuSENNLHtjTjoiZnVuY3Rpb24iLGI6Il5cXHMqIituKyJcXHMqPVxccyoiK3QsZToiWy09XT4iLHJCOiEwLGM6W3Msb119LHtiOi9bOlwoLD1dXHMqLyxyOjAsYzpbe2NOOiJmdW5jdGlvbiIsYjp0LGU6IlstPV0+IixyQjohMCxjOltvXX1dfSx7Y046ImNsYXNzIixiSzoiY2xhc3MiLGU6IiQiLGk6L1s6PSJcW1xdXS8sYzpbe2JLOiJleHRlbmRzIixlVzohMCxpOi9bOj0iXFtcXV0vLGM6W3NdfSxzXX0se2I6bisiOiIsZToiOiIsckI6ITAsckU6ITAscjowfV0pfX0pO2hsanMucmVnaXN0ZXJMYW5ndWFnZSgiY3BwIixmdW5jdGlvbih0KXt2YXIgZT17Y046ImtleXdvcmQiLGI6IlxcYlthLXpcXGRfXSpfdFxcYiJ9LHI9e2NOOiJzdHJpbmciLHY6W3tiOicodTg\/fFUpP0w\/IicsZTonIicsaToiXFxuIixjOlt0LkJFXX0se2I6Jyh1OD98VSk\/UiInLGU6JyInLGM6W3QuQkVdfSx7YjoiJ1xcXFw\/LiIsZToiJyIsaToiLiJ9XX0scz17Y046Im51bWJlciIsdjpbe2I6IlxcYigwYlswMSddKykifSx7YjoiKC0\/KVxcYihbXFxkJ10rKFxcLltcXGQnXSopP3xcXC5bXFxkJ10rKSh1fFV8bHxMfHVsfFVMfGZ8RnxifEIpIn0se2I6IigtPykoXFxiMFt4WF1bYS1mQS1GMC05J10rfChcXGJbXFxkJ10rKFxcLltcXGQnXSopP3xcXC5bXFxkJ10rKShbZUVdWy0rXT9bXFxkJ10rKT8pIn1dLHI6MH0saT17Y046Im1ldGEiLGI6LyNccypbYS16XStcYi8sZTovJC8sazp7Im1ldGEta2V5d29yZCI6ImlmIGVsc2UgZWxpZiBlbmRpZiBkZWZpbmUgdW5kZWYgd2FybmluZyBlcnJvciBsaW5lIHByYWdtYSBpZmRlZiBpZm5kZWYgaW5jbHVkZSJ9LGM6W3tiOi9cXFxuLyxyOjB9LHQuaW5oZXJpdChyLHtjTjoibWV0YS1zdHJpbmcifSkse2NOOiJtZXRhLXN0cmluZyIsYjovPFteXG4+XSo+LyxlOi8kLyxpOiJcXG4ifSx0LkNMQ00sdC5DQkNNXX0sYT10LklSKyJcXHMqXFwoIixjPXtrZXl3b3JkOiJpbnQgZmxvYXQgd2hpbGUgcHJpdmF0ZSBjaGFyIGNhdGNoIGltcG9ydCBtb2R1bGUgZXhwb3J0IHZpcnR1YWwgb3BlcmF0b3Igc2l6ZW9mIGR5bmFtaWNfY2FzdHwxMCB0eXBlZGVmIGNvbnN0X2Nhc3R8MTAgY29uc3QgZm9yIHN0YXRpY19jYXN0fDEwIHVuaW9uIG5hbWVzcGFjZSB1bnNpZ25lZCBsb25nIHZvbGF0aWxlIHN0YXRpYyBwcm90ZWN0ZWQgYm9vbCB0ZW1wbGF0ZSBtdXRhYmxlIGlmIHB1YmxpYyBmcmllbmQgZG8gZ290byBhdXRvIHZvaWQgZW51bSBlbHNlIGJyZWFrIGV4dGVybiB1c2luZyBhc20gY2FzZSB0eXBlaWQgc2hvcnQgcmVpbnRlcnByZXRfY2FzdHwxMCBkZWZhdWx0IGRvdWJsZSByZWdpc3RlciBleHBsaWNpdCBzaWduZWQgdHlwZW5hbWUgdHJ5IHRoaXMgc3dpdGNoIGNvbnRpbnVlIGlubGluZSBkZWxldGUgYWxpZ25vZiBjb25zdGV4cHIgZGVjbHR5cGUgbm9leGNlcHQgc3RhdGljX2Fzc2VydCB0aHJlYWRfbG9jYWwgcmVzdHJpY3QgX0Jvb2wgY29tcGxleCBfQ29tcGxleCBfSW1hZ2luYXJ5IGF0b21pY19ib29sIGF0b21pY19jaGFyIGF0b21pY19zY2hhciBhdG9taWNfdWNoYXIgYXRvbWljX3Nob3J0IGF0b21pY191c2hvcnQgYXRvbWljX2ludCBhdG9taWNfdWludCBhdG9taWNfbG9uZyBhdG9taWNfdWxvbmcgYXRvbWljX2xsb25nIGF0b21pY191bGxvbmcgbmV3IHRocm93IHJldHVybiBhbmQgb3Igbm90IixidWlsdF9pbjoic3RkIHN0cmluZyBjaW4gY291dCBjZXJyIGNsb2cgc3RkaW4gc3Rkb3V0IHN0ZGVyciBzdHJpbmdzdHJlYW0gaXN0cmluZ3N0cmVhbSBvc3RyaW5nc3RyZWFtIGF1dG9fcHRyIGRlcXVlIGxpc3QgcXVldWUgc3RhY2sgdmVjdG9yIG1hcCBzZXQgYml0c2V0IG11bHRpc2V0IG11bHRpbWFwIHVub3JkZXJlZF9zZXQgdW5vcmRlcmVkX21hcCB1bm9yZGVyZWRfbXVsdGlzZXQgdW5vcmRlcmVkX211bHRpbWFwIGFycmF5IHNoYXJlZF9wdHIgYWJvcnQgYWJzIGFjb3MgYXNpbiBhdGFuMiBhdGFuIGNhbGxvYyBjZWlsIGNvc2ggY29zIGV4aXQgZXhwIGZhYnMgZmxvb3IgZm1vZCBmcHJpbnRmIGZwdXRzIGZyZWUgZnJleHAgZnNjYW5mIGlzYWxudW0gaXNhbHBoYSBpc2NudHJsIGlzZGlnaXQgaXNncmFwaCBpc2xvd2VyIGlzcHJpbnQgaXNwdW5jdCBpc3NwYWNlIGlzdXBwZXIgaXN4ZGlnaXQgdG9sb3dlciB0b3VwcGVyIGxhYnMgbGRleHAgbG9nMTAgbG9nIG1hbGxvYyByZWFsbG9jIG1lbWNociBtZW1jbXAgbWVtY3B5IG1lbXNldCBtb2RmIHBvdyBwcmludGYgcHV0Y2hhciBwdXRzIHNjYW5mIHNpbmggc2luIHNucHJpbnRmIHNwcmludGYgc3FydCBzc2NhbmYgc3RyY2F0IHN0cmNociBzdHJjbXAgc3RyY3B5IHN0cmNzcG4gc3RybGVuIHN0cm5jYXQgc3RybmNtcCBzdHJuY3B5IHN0cnBicmsgc3RycmNociBzdHJzcG4gc3Ryc3RyIHRhbmggdGFuIHZmcHJpbnRmIHZwcmludGYgdnNwcmludGYgZW5kbCBpbml0aWFsaXplcl9saXN0IHVuaXF1ZV9wdHIiLGxpdGVyYWw6InRydWUgZmFsc2UgbnVsbHB0ciBOVUxMIn0sbj1bZSx0LkNMQ00sdC5DQkNNLHMscl07cmV0dXJue2FsaWFzZXM6WyJjIiwiY2MiLCJoIiwiYysrIiwiaCsrIiwiaHBwIl0sazpjLGk6IjwvIixjOm4uY29uY2F0KFtpLHtiOiJcXGIoZGVxdWV8bGlzdHxxdWV1ZXxzdGFja3x2ZWN0b3J8bWFwfHNldHxiaXRzZXR8bXVsdGlzZXR8bXVsdGltYXB8dW5vcmRlcmVkX21hcHx1bm9yZGVyZWRfc2V0fHVub3JkZXJlZF9tdWx0aXNldHx1bm9yZGVyZWRfbXVsdGltYXB8YXJyYXkpXFxzKjwiLGU6Ij4iLGs6YyxjOlsic2VsZiIsZV19LHtiOnQuSVIrIjo6IixrOmN9LHt2Olt7YjovPS8sZTovOy99LHtiOi9cKC8sZTovXCkvfSx7Yks6Im5ldyB0aHJvdyByZXR1cm4gZWxzZSIsZTovOy99XSxrOmMsYzpuLmNvbmNhdChbe2I6L1woLyxlOi9cKS8sazpjLGM6bi5jb25jYXQoWyJzZWxmIl0pLHI6MH1dKSxyOjB9LHtjTjoiZnVuY3Rpb24iLGI6IigiK3QuSVIrIltcXComXFxzXSspKyIrYSxyQjohMCxlOi9bezs9XS8sZUU6ITAsazpjLGk6L1teXHdcc1wqJl0vLGM6W3tiOmEsckI6ITAsYzpbdC5UTV0scjowfSx7Y046InBhcmFtcyIsYjovXCgvLGU6L1wpLyxrOmMscjowLGM6W3QuQ0xDTSx0LkNCQ00scixzLGVdfSx0LkNMQ00sdC5DQkNNLGldfSx7Y046ImNsYXNzIixiSzoiY2xhc3Mgc3RydWN0IixlOi9bezs6XS8sYzpbe2I6LzwvLGU6Lz4vLGM6WyJzZWxmIl19LHQuVE1dfV0pLGV4cG9ydHM6e3ByZXByb2Nlc3NvcjppLHN0cmluZ3M6cixrOmN9fX0pO2hsanMucmVnaXN0ZXJMYW5ndWFnZSgicnVieSIsZnVuY3Rpb24oZSl7dmFyIGI9IlthLXpBLVpfXVxcdypbIT89XT98Wy0rfl1cXEB8PDx8Pj58PX58PT09P3w8PT58Wzw+XT0\/fFxcKlxcKnxbLS8rJV4mKn5gfF18XFxbXFxdPT8iLHI9e2tleXdvcmQ6ImFuZCB0aGVuIGRlZmluZWQgbW9kdWxlIGluIHJldHVybiByZWRvIGlmIEJFR0lOIHJldHJ5IGVuZCBmb3Igc2VsZiB3aGVuIG5leHQgdW50aWwgZG8gYmVnaW4gdW5sZXNzIEVORCByZXNjdWUgZWxzZSBicmVhayB1bmRlZiBub3Qgc3VwZXIgY2xhc3MgY2FzZSByZXF1aXJlIHlpZWxkIGFsaWFzIHdoaWxlIGVuc3VyZSBlbHNpZiBvciBpbmNsdWRlIGF0dHJfcmVhZGVyIGF0dHJfd3JpdGVyIGF0dHJfYWNjZXNzb3IiLGxpdGVyYWw6InRydWUgZmFsc2UgbmlsIn0sYz17Y046ImRvY3RhZyIsYjoiQFtBLVphLXpdKyJ9LGE9e2I6IiM8IixlOiI+In0scz1bZS5DKCIjIiwiJCIse2M6W2NdfSksZS5DKCJeXFw9YmVnaW4iLCJeXFw9ZW5kIix7YzpbY10scjoxMH0pLGUuQygiXl9fRU5EX18iLCJcXG4kIildLG49e2NOOiJzdWJzdCIsYjoiI1xceyIsZToifSIsazpyfSx0PXtjTjoic3RyaW5nIixjOltlLkJFLG5dLHY6W3tiOi8nLyxlOi8nL30se2I6LyIvLGU6LyIvfSx7YjovYC8sZTovYC99LHtiOiIlW3FRd1d4XT9cXCgiLGU6IlxcKSJ9LHtiOiIlW3FRd1d4XT9cXFsiLGU6IlxcXSJ9LHtiOiIlW3FRd1d4XT97IixlOiJ9In0se2I6IiVbcVF3V3hdPzwiLGU6Ij4ifSx7YjoiJVtxUXdXeF0\/LyIsZToiLyJ9LHtiOiIlW3FRd1d4XT8lIixlOiIlIn0se2I6IiVbcVF3V3hdPy0iLGU6Ii0ifSx7YjoiJVtxUXdXeF0\/XFx8IixlOiJcXHwifSx7YjovXEJcPyhcXFxkezEsM318XFx4W0EtRmEtZjAtOV17MSwyfXxcXHVbQS1GYS1mMC05XXs0fXxcXD9cUylcYi99LHtiOi88PCgtPylcdyskLyxlOi9eXHMqXHcrJC99XX0saT17Y046InBhcmFtcyIsYjoiXFwoIixlOiJcXCkiLGVuZHNQYXJlbnQ6ITAsazpyfSxkPVt0LGEse2NOOiJjbGFzcyIsYks6ImNsYXNzIG1vZHVsZSIsZToiJHw7IixpOi89LyxjOltlLmluaGVyaXQoZS5UTSx7YjoiW0EtWmEtel9dXFx3Kig6OlxcdyspKihcXD98XFwhKT8ifSkse2I6IjxcXHMqIixjOlt7YjoiKCIrZS5JUisiOjopPyIrZS5JUn1dfV0uY29uY2F0KHMpfSx7Y046ImZ1bmN0aW9uIixiSzoiZGVmIixlOiIkfDsiLGM6W2UuaW5oZXJpdChlLlRNLHtiOmJ9KSxpXS5jb25jYXQocyl9LHtiOmUuSVIrIjo6In0se2NOOiJzeW1ib2wiLGI6ZS5VSVIrIihcXCF8XFw\/KT86IixyOjB9LHtjTjoic3ltYm9sIixiOiI6KD8hXFxzKSIsYzpbdCx7YjpifV0scjowfSx7Y046Im51bWJlciIsYjoiKFxcYjBbMC03X10rKXwoXFxiMHhbMC05YS1mQS1GX10rKXwoXFxiWzEtOV1bMC05X10qKFxcLlswLTlfXSspPyl8WzBfXVxcYiIscjowfSx7YjoiKFxcJFxcVyl8KChcXCR8XFxAXFxAPykoXFx3KykpIn0se2NOOiJwYXJhbXMiLGI6L1x8LyxlOi9cfC8sazpyfSx7YjoiKCIrZS5SU1IrInx1bmxlc3MpXFxzKiIsazoidW5sZXNzIixjOlthLHtjTjoicmVnZXhwIixjOltlLkJFLG5dLGk6L1xuLyx2Olt7YjoiLyIsZToiL1thLXpdKiJ9LHtiOiIlcnsiLGU6In1bYS16XSoifSx7YjoiJXJcXCgiLGU6IlxcKVthLXpdKiJ9LHtiOiIlciEiLGU6IiFbYS16XSoifSx7YjoiJXJcXFsiLGU6IlxcXVthLXpdKiJ9XX1dLmNvbmNhdChzKSxyOjB9XS5jb25jYXQocyk7bi5jPWQsaS5jPWQ7dmFyIGw9Ils+P10+IixvPSJbXFx3I10rXFwoXFx3K1xcKTpcXGQrOlxcZCs+Iix1PSIoXFx3Ky0pP1xcZCtcXC5cXGQrXFwuXFxkKHBcXGQrKT9bXj5dKz4iLHc9W3tiOi9eXHMqPT4vLHN0YXJ0czp7ZToiJCIsYzpkfX0se2NOOiJtZXRhIixiOiJeKCIrbCsifCIrbysifCIrdSsiKSIsc3RhcnRzOntlOiIkIixjOmR9fV07cmV0dXJue2FsaWFzZXM6WyJyYiIsImdlbXNwZWMiLCJwb2RzcGVjIiwidGhvciIsImlyYiJdLGs6cixpOi9cL1wqLyxjOnMuY29uY2F0KHcpLmNvbmNhdChkKX19KTtobGpzLnJlZ2lzdGVyTGFuZ3VhZ2UoInlhbWwiLGZ1bmN0aW9uKGUpe3ZhciBiPSJ0cnVlIGZhbHNlIHllcyBubyBudWxsIixhPSJeWyBcXC1dKiIscj0iW2EtekEtWl9dW1xcd1xcLV0qIix0PXtjTjoiYXR0ciIsdjpbe2I6YStyKyI6In0se2I6YSsnIicrcisnIjonfSx7YjphKyInIityKyInOiJ9XX0sYz17Y046InRlbXBsYXRlLXZhcmlhYmxlIix2Olt7Yjoie3siLGU6In19In0se2I6IiV7IixlOiJ9In1dfSxsPXtjTjoic3RyaW5nIixyOjAsdjpbe2I6LycvLGU6LycvfSx7YjovIi8sZTovIi99LHtiOi9cUysvfV0sYzpbZS5CRSxjXX07cmV0dXJue2NJOiEwLGFsaWFzZXM6WyJ5bWwiLCJZQU1MIiwieWFtbCJdLGM6W3Qse2NOOiJtZXRhIixiOiJeLS0tcyokIixyOjEwfSx7Y046InN0cmluZyIsYjoiW1xcfD5dICokIixyRTohMCxjOmwuYyxlOnQudlswXS5ifSx7YjoiPCVbJT0tXT8iLGU6IlslLV0\/JT4iLHNMOiJydWJ5IixlQjohMCxlRTohMCxyOjB9LHtjTjoidHlwZSIsYjoiISEiK2UuVUlSfSx7Y046Im1ldGEiLGI6IiYiK2UuVUlSKyIkIn0se2NOOiJtZXRhIixiOiJcXCoiK2UuVUlSKyIkIn0se2NOOiJidWxsZXQiLGI6Il4gKi0iLHI6MH0sZS5IQ00se2JLOmIsazp7bGl0ZXJhbDpifX0sZS5DTk0sbF19fSk7aGxqcy5yZWdpc3Rlckxhbmd1YWdlKCJjc3MiLGZ1bmN0aW9uKGUpe3ZhciBjPSJbYS16QS1aLV1bYS16QS1aMC05Xy1dKiIsdD17YjovW0EtWlxfXC5cLV0rXHMqOi8sckI6ITAsZToiOyIsZVc6ITAsYzpbe2NOOiJhdHRyaWJ1dGUiLGI6L1xTLyxlOiI6IixlRTohMCxzdGFydHM6e2VXOiEwLGVFOiEwLGM6W3tiOi9bXHctXStcKC8sckI6ITAsYzpbe2NOOiJidWlsdF9pbiIsYjovW1x3LV0rL30se2I6L1woLyxlOi9cKS8sYzpbZS5BU00sZS5RU01dfV19LGUuQ1NTTk0sZS5RU00sZS5BU00sZS5DQkNNLHtjTjoibnVtYmVyIixiOiIjWzAtOUEtRmEtZl0rIn0se2NOOiJtZXRhIixiOiIhaW1wb3J0YW50In1dfX1dfTtyZXR1cm57Y0k6ITAsaTovWz1cL3wnXCRdLyxjOltlLkNCQ00se2NOOiJzZWxlY3Rvci1pZCIsYjovI1tBLVphLXowLTlfLV0rL30se2NOOiJzZWxlY3Rvci1jbGFzcyIsYjovXC5bQS1aYS16MC05Xy1dKy99LHtjTjoic2VsZWN0b3ItYXR0ciIsYjovXFsvLGU6L1xdLyxpOiIkIn0se2NOOiJzZWxlY3Rvci1wc2V1ZG8iLGI6LzooOik\/W2EtekEtWjAtOVxfXC1cK1woXCkiJy5dKy99LHtiOiJAKGZvbnQtZmFjZXxwYWdlKSIsbDoiW2Etei1dKyIsazoiZm9udC1mYWNlIHBhZ2UifSx7YjoiQCIsZToiW3s7XSIsaTovOi8sYzpbe2NOOiJrZXl3b3JkIixiOi9cdysvfSx7YjovXHMvLGVXOiEwLGVFOiEwLHI6MCxjOltlLkFTTSxlLlFTTSxlLkNTU05NXX1dfSx7Y046InNlbGVjdG9yLXRhZyIsYjpjLHI6MH0se2I6InsiLGU6In0iLGk6L1xTLyxjOltlLkNCQ00sdF19XX19KTtobGpzLnJlZ2lzdGVyTGFuZ3VhZ2UoImZvcnRyYW4iLGZ1bmN0aW9uKGUpe3ZhciB0PXtjTjoicGFyYW1zIixiOiJcXCgiLGU6IlxcKSJ9LG49e2xpdGVyYWw6Ii5GYWxzZS4gLlRydWUuIixrZXl3b3JkOiJraW5kIGRvIHdoaWxlIHByaXZhdGUgY2FsbCBpbnRyaW5zaWMgd2hlcmUgZWxzZXdoZXJlIHR5cGUgZW5kdHlwZSBlbmRtb2R1bGUgZW5kc2VsZWN0IGVuZGludGVyZmFjZSBlbmQgZW5kZG8gZW5kaWYgaWYgZm9yYWxsIGVuZGZvcmFsbCBvbmx5IGNvbnRhaW5zIGRlZmF1bHQgcmV0dXJuIHN0b3AgdGhlbiBwdWJsaWMgc3Vicm91dGluZXwxMCBmdW5jdGlvbiBwcm9ncmFtIC5hbmQuIC5vci4gLm5vdC4gLmxlLiAuZXEuIC5nZS4gLmd0LiAubHQuIGdvdG8gc2F2ZSBlbHNlIHVzZSBtb2R1bGUgc2VsZWN0IGNhc2UgYWNjZXNzIGJsYW5rIGRpcmVjdCBleGlzdCBmaWxlIGZtdCBmb3JtIGZvcm1hdHRlZCBpb3N0YXQgbmFtZSBuYW1lZCBuZXh0cmVjIG51bWJlciBvcGVuZWQgcmVjIHJlY2wgc2VxdWVudGlhbCBzdGF0dXMgdW5mb3JtYXR0ZWQgdW5pdCBjb250aW51ZSBmb3JtYXQgcGF1c2UgY3ljbGUgZXhpdCBjX251bGxfY2hhciBjX2FsZXJ0IGNfYmFja3NwYWNlIGNfZm9ybV9mZWVkIGZsdXNoIHdhaXQgZGVjaW1hbCByb3VuZCBpb21zZyBzeW5jaHJvbm91cyBub3Bhc3Mgbm9uX292ZXJyaWRhYmxlIHBhc3MgcHJvdGVjdGVkIHZvbGF0aWxlIGFic3RyYWN0IGV4dGVuZHMgaW1wb3J0IG5vbl9pbnRyaW5zaWMgdmFsdWUgZGVmZXJyZWQgZ2VuZXJpYyBmaW5hbCBlbnVtZXJhdG9yIGNsYXNzIGFzc29jaWF0ZSBiaW5kIGVudW0gY19pbnQgY19zaG9ydCBjX2xvbmcgY19sb25nX2xvbmcgY19zaWduZWRfY2hhciBjX3NpemVfdCBjX2ludDhfdCBjX2ludDE2X3QgY19pbnQzMl90IGNfaW50NjRfdCBjX2ludF9sZWFzdDhfdCBjX2ludF9sZWFzdDE2X3QgY19pbnRfbGVhc3QzMl90IGNfaW50X2xlYXN0NjRfdCBjX2ludF9mYXN0OF90IGNfaW50X2Zhc3QxNl90IGNfaW50X2Zhc3QzMl90IGNfaW50X2Zhc3Q2NF90IGNfaW50bWF4X3QgQ19pbnRwdHJfdCBjX2Zsb2F0IGNfZG91YmxlIGNfbG9uZ19kb3VibGUgY19mbG9hdF9jb21wbGV4IGNfZG91YmxlX2NvbXBsZXggY19sb25nX2RvdWJsZV9jb21wbGV4IGNfYm9vbCBjX2NoYXIgY19udWxsX3B0ciBjX251bGxfZnVucHRyIGNfbmV3X2xpbmUgY19jYXJyaWFnZV9yZXR1cm4gY19ob3Jpem9udGFsX3RhYiBjX3ZlcnRpY2FsX3RhYiBpc29fY19iaW5kaW5nIGNfbG9jIGNfZnVubG9jIGNfYXNzb2NpYXRlZCAgY19mX3BvaW50ZXIgY19wdHIgY19mdW5wdHIgaXNvX2ZvcnRyYW5fZW52IGNoYXJhY3Rlcl9zdG9yYWdlX3NpemUgZXJyb3JfdW5pdCBmaWxlX3N0b3JhZ2Vfc2l6ZSBpbnB1dF91bml0IGlvc3RhdF9lbmQgaW9zdGF0X2VvciBudW1lcmljX3N0b3JhZ2Vfc2l6ZSBvdXRwdXRfdW5pdCBjX2ZfcHJvY3BvaW50ZXIgaWVlZV9hcml0aG1ldGljIGllZWVfc3VwcG9ydF91bmRlcmZsb3dfY29udHJvbCBpZWVlX2dldF91bmRlcmZsb3dfbW9kZSBpZWVlX3NldF91bmRlcmZsb3dfbW9kZSBuZXd1bml0IGNvbnRpZ3VvdXMgcmVjdXJzaXZlIHBhZCBwb3NpdGlvbiBhY3Rpb24gZGVsaW0gcmVhZHdyaXRlIGVvciBhZHZhbmNlIG5tbCBpbnRlcmZhY2UgcHJvY2VkdXJlIG5hbWVsaXN0IGluY2x1ZGUgc2VxdWVuY2UgZWxlbWVudGFsIHB1cmUgaW50ZWdlciByZWFsIGNoYXJhY3RlciBjb21wbGV4IGxvZ2ljYWwgZGltZW5zaW9uIGFsbG9jYXRhYmxlfDEwIHBhcmFtZXRlciBleHRlcm5hbCBpbXBsaWNpdHwxMCBub25lIGRvdWJsZSBwcmVjaXNpb24gYXNzaWduIGludGVudCBvcHRpb25hbCBwb2ludGVyIHRhcmdldCBpbiBvdXQgY29tbW9uIGVxdWl2YWxlbmNlIGRhdGEiLGJ1aWx0X2luOiJhbG9nIGFsb2cxMCBhbWF4MCBhbWF4MSBhbWluMCBhbWluMSBhbW9kIGNhYnMgY2NvcyBjZXhwIGNsb2cgY3NpbiBjc3FydCBkYWJzIGRhY29zIGRhc2luIGRhdGFuIGRhdGFuMiBkY29zIGRjb3NoIGRkaW0gZGV4cCBkaW50IGRsb2cgZGxvZzEwIGRtYXgxIGRtaW4xIGRtb2QgZG5pbnQgZHNpZ24gZHNpbiBkc2luaCBkc3FydCBkdGFuIGR0YW5oIGZsb2F0IGlhYnMgaWRpbSBpZGludCBpZG5pbnQgaWZpeCBpc2lnbiBtYXgwIG1heDEgbWluMCBtaW4xIHNuZ2wgYWxnYW1hIGNkYWJzIGNkY29zIGNkZXhwIGNkbG9nIGNkc2luIGNkc3FydCBjcWFicyBjcWNvcyBjcWV4cCBjcWxvZyBjcXNpbiBjcXNxcnQgZGNtcGx4IGRjb25qZyBkZXJmIGRlcmZjIGRmbG9hdCBkZ2FtbWEgZGltYWcgZGxnYW1hIGlxaW50IHFhYnMgcWFjb3MgcWFzaW4gcWF0YW4gcWF0YW4yIHFjbXBseCBxY29uamcgcWNvcyBxY29zaCBxZGltIHFlcmYgcWVyZmMgcWV4cCBxZ2FtbWEgcWltYWcgcWxnYW1hIHFsb2cgcWxvZzEwIHFtYXgxIHFtaW4xIHFtb2QgcW5pbnQgcXNpZ24gcXNpbiBxc2luaCBxc3FydCBxdGFuIHF0YW5oIGFicyBhY29zIGFpbWFnIGFpbnQgYW5pbnQgYXNpbiBhdGFuIGF0YW4yIGNoYXIgY21wbHggY29uamcgY29zIGNvc2ggZXhwIGljaGFyIGluZGV4IGludCBsb2cgbG9nMTAgbWF4IG1pbiBuaW50IHNpZ24gc2luIHNpbmggc3FydCB0YW4gdGFuaCBwcmludCB3cml0ZSBkaW0gbGdlIGxndCBsbGUgbGx0IG1vZCBudWxsaWZ5IGFsbG9jYXRlIGRlYWxsb2NhdGUgYWRqdXN0bCBhZGp1c3RyIGFsbCBhbGxvY2F0ZWQgYW55IGFzc29jaWF0ZWQgYml0X3NpemUgYnRlc3QgY2VpbGluZyBjb3VudCBjc2hpZnQgZGF0ZV9hbmRfdGltZSBkaWdpdHMgZG90X3Byb2R1Y3QgZW9zaGlmdCBlcHNpbG9uIGV4cG9uZW50IGZsb29yIGZyYWN0aW9uIGh1Z2UgaWFuZCBpYmNsciBpYml0cyBpYnNldCBpZW9yIGlvciBpc2hmdCBpc2hmdGMgbGJvdW5kIGxlbl90cmltIG1hdG11bCBtYXhleHBvbmVudCBtYXhsb2MgbWF4dmFsIG1lcmdlIG1pbmV4cG9uZW50IG1pbmxvYyBtaW52YWwgbW9kdWxvIG12Yml0cyBuZWFyZXN0IHBhY2sgcHJlc2VudCBwcm9kdWN0IHJhZGl4IHJhbmRvbV9udW1iZXIgcmFuZG9tX3NlZWQgcmFuZ2UgcmVwZWF0IHJlc2hhcGUgcnJzcGFjaW5nIHNjYWxlIHNjYW4gc2VsZWN0ZWRfaW50X2tpbmQgc2VsZWN0ZWRfcmVhbF9raW5kIHNldF9leHBvbmVudCBzaGFwZSBzaXplIHNwYWNpbmcgc3ByZWFkIHN1bSBzeXN0ZW1fY2xvY2sgdGlueSB0cmFuc3Bvc2UgdHJpbSB1Ym91bmQgdW5wYWNrIHZlcmlmeSBhY2hhciBpYWNoYXIgdHJhbnNmZXIgZGJsZSBlbnRyeSBkcHJvZCBjcHVfdGltZSBjb21tYW5kX2FyZ3VtZW50X2NvdW50IGdldF9jb21tYW5kIGdldF9jb21tYW5kX2FyZ3VtZW50IGdldF9lbnZpcm9ubWVudF92YXJpYWJsZSBpc19pb3N0YXRfZW5kIGllZWVfYXJpdGhtZXRpYyBpZWVlX3N1cHBvcnRfdW5kZXJmbG93X2NvbnRyb2wgaWVlZV9nZXRfdW5kZXJmbG93X21vZGUgaWVlZV9zZXRfdW5kZXJmbG93X21vZGUgaXNfaW9zdGF0X2VvciBtb3ZlX2FsbG9jIG5ld19saW5lIHNlbGVjdGVkX2NoYXJfa2luZCBzYW1lX3R5cGVfYXMgZXh0ZW5kc190eXBlX29mYWNvc2ggYXNpbmggYXRhbmggYmVzc2VsX2owIGJlc3NlbF9qMSBiZXNzZWxfam4gYmVzc2VsX3kwIGJlc3NlbF95MSBiZXNzZWxfeW4gZXJmIGVyZmMgZXJmY19zY2FsZWQgZ2FtbWEgbG9nX2dhbW1hIGh5cG90IG5vcm0yIGF0b21pY19kZWZpbmUgYXRvbWljX3JlZiBleGVjdXRlX2NvbW1hbmRfbGluZSBsZWFkeiB0cmFpbHogc3RvcmFnZV9zaXplIG1lcmdlX2JpdHMgYmdlIGJndCBibGUgYmx0IGRzaGlmdGwgZHNoaWZ0ciBmaW5kbG9jIGlhbGwgaWFueSBpcGFyaXR5IGltYWdlX2luZGV4IGxjb2JvdW5kIHVjb2JvdW5kIG1hc2tsIG1hc2tyIG51bV9pbWFnZXMgcGFyaXR5IHBvcGNudCBwb3BwYXIgc2hpZnRhIHNoaWZ0bCBzaGlmdHIgdGhpc19pbWFnZSJ9O3JldHVybntjSTohMCxhbGlhc2VzOlsiZjkwIiwiZjk1Il0sazpuLGk6L1wvXCovLGM6W2UuaW5oZXJpdChlLkFTTSx7Y046InN0cmluZyIscjowfSksZS5pbmhlcml0KGUuUVNNLHtjTjoic3RyaW5nIixyOjB9KSx7Y046ImZ1bmN0aW9uIixiSzoic3Vicm91dGluZSBmdW5jdGlvbiBwcm9ncmFtIixpOiJbJHs9XFxuXSIsYzpbZS5VVE0sdF19LGUuQygiISIsIiQiLHtyOjB9KSx7Y046Im51bWJlciIsYjoiKD89XFxifFxcK3xcXC18XFwuKSg\/PVxcLlxcZHxcXGQpKD86XFxkKyk\/KD86XFwuP1xcZCopKD86W2RlXVsrLV0\/XFxkKyk\/XFxiXFwuPyIscjowfV19fSk7aGxqcy5yZWdpc3Rlckxhbmd1YWdlKCJhd2siLGZ1bmN0aW9uKGUpe3ZhciByPXtjTjoidmFyaWFibGUiLHY6W3tiOi9cJFtcd1xkI0BdW1x3XGRfXSovfSx7YjovXCRceyguKj8pfS99XX0sYj0iQkVHSU4gRU5EIGlmIGVsc2Ugd2hpbGUgZG8gZm9yIGluIGJyZWFrIGNvbnRpbnVlIGRlbGV0ZSBuZXh0IG5leHRmaWxlIGZ1bmN0aW9uIGZ1bmMgZXhpdHwxMCIsbj17Y046InN0cmluZyIsYzpbZS5CRV0sdjpbe2I6Lyh1fGIpP3I\/JycnLyxlOi8nJycvLHI6MTB9LHtiOi8odXxiKT9yPyIiIi8sZTovIiIiLyxyOjEwfSx7YjovKHV8cnx1ciknLyxlOi8nLyxyOjEwfSx7YjovKHV8cnx1cikiLyxlOi8iLyxyOjEwfSx7YjovKGJ8YnIpJy8sZTovJy99LHtiOi8oYnxicikiLyxlOi8iL30sZS5BU00sZS5RU01dfTtyZXR1cm57azp7a2V5d29yZDpifSxjOltyLG4sZS5STSxlLkhDTSxlLk5NXX19KTtobGpzLnJlZ2lzdGVyTGFuZ3VhZ2UoIm1ha2VmaWxlIixmdW5jdGlvbihlKXt2YXIgaT17Y046InZhcmlhYmxlIix2Olt7YjoiXFwkXFwoIitlLlVJUisiXFwpIixjOltlLkJFXX0se2I6L1wkW0AlPD9cXlwrXCpdL31dfSxyPXtjTjoic3RyaW5nIixiOi8iLyxlOi8iLyxjOltlLkJFLGldfSxhPXtjTjoidmFyaWFibGUiLGI6L1wkXChbXHctXStccy8sZTovXCkvLGs6e2J1aWx0X2luOiJzdWJzdCBwYXRzdWJzdCBzdHJpcCBmaW5kc3RyaW5nIGZpbHRlciBmaWx0ZXItb3V0IHNvcnQgd29yZCB3b3JkbGlzdCBmaXJzdHdvcmQgbGFzdHdvcmQgZGlyIG5vdGRpciBzdWZmaXggYmFzZW5hbWUgYWRkc3VmZml4IGFkZHByZWZpeCBqb2luIHdpbGRjYXJkIHJlYWxwYXRoIGFic3BhdGggZXJyb3Igd2FybmluZyBzaGVsbCBvcmlnaW4gZmxhdm9yIGZvcmVhY2ggaWYgb3IgYW5kIGNhbGwgZXZhbCBmaWxlIHZhbHVlIn0sYzpbaV19LG49e2I6Il4iK2UuVUlSKyJcXHMqWzorP10\/PSIsaToiXFxuIixyQjohMCxjOlt7YjoiXiIrZS5VSVIsZToiWzorP10\/PSIsZUU6ITB9XX0sdD17Y046Im1ldGEiLGI6L15cLlBIT05ZOi8sZTovJC8sazp7Im1ldGEta2V5d29yZCI6Ii5QSE9OWSJ9LGw6L1tcLlx3XSsvfSxsPXtjTjoic2VjdGlvbiIsYjovXlteXHNdKzovLGU6LyQvLGM6W2ldfTtyZXR1cm57YWxpYXNlczpbIm1rIiwibWFrIl0sazoiZGVmaW5lIGVuZGVmIHVuZGVmaW5lIGlmZGVmIGlmbmRlZiBpZmVxIGlmbmVxIGVsc2UgZW5kaWYgaW5jbHVkZSAtaW5jbHVkZSBzaW5jbHVkZSBvdmVycmlkZSBleHBvcnQgdW5leHBvcnQgcHJpdmF0ZSB2cGF0aCIsbDovW1x3LV0rLyxjOltlLkhDTSxpLHIsYSxuLHQsbF19fSk7aGxqcy5yZWdpc3Rlckxhbmd1YWdlKCJqYXZhIixmdW5jdGlvbihlKXt2YXIgYT0iW8OALcq4YS16QS1aXyRdW8OALcq4YS16QS1aXyQwLTldKiIsdD1hKyIoPCIrYSsiKFxccyosXFxzKiIrYSsiKSo+KT8iLHI9ImZhbHNlIHN5bmNocm9uaXplZCBpbnQgYWJzdHJhY3QgZmxvYXQgcHJpdmF0ZSBjaGFyIGJvb2xlYW4gc3RhdGljIG51bGwgaWYgY29uc3QgZm9yIHRydWUgd2hpbGUgbG9uZyBzdHJpY3RmcCBmaW5hbGx5IHByb3RlY3RlZCBpbXBvcnQgbmF0aXZlIGZpbmFsIHZvaWQgZW51bSBlbHNlIGJyZWFrIHRyYW5zaWVudCBjYXRjaCBpbnN0YW5jZW9mIGJ5dGUgc3VwZXIgdm9sYXRpbGUgY2FzZSBhc3NlcnQgc2hvcnQgcGFja2FnZSBkZWZhdWx0IGRvdWJsZSBwdWJsaWMgdHJ5IHRoaXMgc3dpdGNoIGNvbnRpbnVlIHRocm93cyBwcm90ZWN0ZWQgcHVibGljIHByaXZhdGUgbW9kdWxlIHJlcXVpcmVzIGV4cG9ydHMgZG8iLHM9IlxcYigwW2JCXShbMDFdK1swMV9dK1swMV0rfFswMV0rKXwwW3hYXShbYS1mQS1GMC05XStbYS1mQS1GMC05X10rW2EtZkEtRjAtOV0rfFthLWZBLUYwLTldKyl8KChbXFxkXStbXFxkX10rW1xcZF0rfFtcXGRdKykoXFwuKFtcXGRdK1tcXGRfXStbXFxkXSt8W1xcZF0rKSk\/fFxcLihbXFxkXStbXFxkX10rW1xcZF0rfFtcXGRdKykpKFtlRV1bLStdP1xcZCspPylbbExmRl0\/IixjPXtjTjoibnVtYmVyIixiOnMscjowfTtyZXR1cm57YWxpYXNlczpbImpzcCJdLGs6cixpOi88XC98Iy8sYzpbZS5DKCIvXFwqXFwqIiwiXFwqLyIse3I6MCxjOlt7YjovXHcrQC8scjowfSx7Y046ImRvY3RhZyIsYjoiQFtBLVphLXpdKyJ9XX0pLGUuQ0xDTSxlLkNCQ00sZS5BU00sZS5RU00se2NOOiJjbGFzcyIsYks6ImNsYXNzIGludGVyZmFjZSIsZTovW3s7PV0vLGVFOiEwLGs6ImNsYXNzIGludGVyZmFjZSIsaTovWzoiXFtcXV0vLGM6W3tiSzoiZXh0ZW5kcyBpbXBsZW1lbnRzIn0sZS5VVE1dfSx7Yks6Im5ldyB0aHJvdyByZXR1cm4gZWxzZSIscjowfSx7Y046ImZ1bmN0aW9uIixiOiIoIit0KyJcXHMrKSsiK2UuVUlSKyJcXHMqXFwoIixyQjohMCxlOi9bezs9XS8sZUU6ITAsazpyLGM6W3tiOmUuVUlSKyJcXHMqXFwoIixyQjohMCxyOjAsYzpbZS5VVE1dfSx7Y046InBhcmFtcyIsYjovXCgvLGU6L1wpLyxrOnIscjowLGM6W2UuQVNNLGUuUVNNLGUuQ05NLGUuQ0JDTV19LGUuQ0xDTSxlLkNCQ01dfSxjLHtjTjoibWV0YSIsYjoiQFtBLVphLXpdKyJ9XX19KTtobGpzLnJlZ2lzdGVyTGFuZ3VhZ2UoInN0YW4iLGZ1bmN0aW9uKGUpe3JldHVybntjOltlLkhDTSxlLkNMQ00sZS5DQkNNLHtiOmUuVUlSLGw6ZS5VSVIsazp7bmFtZToiZm9yIGluIHdoaWxlIHJlcGVhdCB1bnRpbCBpZiB0aGVuIGVsc2UiLHN5bWJvbDoiYmVybm91bGxpIGJlcm5vdWxsaV9sb2dpdCBiaW5vbWlhbCBiaW5vbWlhbF9sb2dpdCBiZXRhX2Jpbm9taWFsIGh5cGVyZ2VvbWV0cmljIGNhdGVnb3JpY2FsIGNhdGVnb3JpY2FsX2xvZ2l0IG9yZGVyZWRfbG9naXN0aWMgbmVnX2Jpbm9taWFsIG5lZ19iaW5vbWlhbF8yIG5lZ19iaW5vbWlhbF8yX2xvZyBwb2lzc29uIHBvaXNzb25fbG9nIG11bHRpbm9taWFsIG5vcm1hbCBleHBfbW9kX25vcm1hbCBza2V3X25vcm1hbCBzdHVkZW50X3QgY2F1Y2h5IGRvdWJsZV9leHBvbmVudGlhbCBsb2dpc3RpYyBndW1iZWwgbG9nbm9ybWFsIGNoaV9zcXVhcmUgaW52X2NoaV9zcXVhcmUgc2NhbGVkX2ludl9jaGlfc3F1YXJlIGV4cG9uZW50aWFsIGludl9nYW1tYSB3ZWlidWxsIGZyZWNoZXQgcmF5bGVpZ2ggd2llbmVyIHBhcmV0byBwYXJldG9fdHlwZV8yIHZvbl9taXNlcyB1bmlmb3JtIG11bHRpX25vcm1hbCBtdWx0aV9ub3JtYWxfcHJlYyBtdWx0aV9ub3JtYWxfY2hvbGVza3kgbXVsdGlfZ3AgbXVsdGlfZ3BfY2hvbGVza3kgbXVsdGlfc3R1ZGVudF90IGdhdXNzaWFuX2RsbV9vYnMgZGlyaWNobGV0IGxral9jb3JyIGxral9jb3JyX2Nob2xlc2t5IHdpc2hhcnQgaW52X3dpc2hhcnQiLCJzZWxlY3Rvci10YWciOiJpbnQgcmVhbCB2ZWN0b3Igc2ltcGxleCB1bml0X3ZlY3RvciBvcmRlcmVkIHBvc2l0aXZlX29yZGVyZWQgcm93X3ZlY3RvciBtYXRyaXggY2hvbGVza3lfZmFjdG9yX2NvcnIgY2hvbGVza3lfZmFjdG9yX2NvdiBjb3JyX21hdHJpeCBjb3ZfbWF0cml4Iix0aXRsZToiZnVuY3Rpb25zIG1vZGVsIGRhdGEgcGFyYW1ldGVycyBxdWFudGl0aWVzIHRyYW5zZm9ybWVkIGdlbmVyYXRlZCIsbGl0ZXJhbDoidHJ1ZSBmYWxzZSJ9LHI6MH0se2NOOiJudW1iZXIiLGI6IjBbeFhdWzAtOWEtZkEtRl0rW0xpXT9cXGIiLHI6MH0se2NOOiJudW1iZXIiLGI6IjBbeFhdWzAtOWEtZkEtRl0rW0xpXT9cXGIiLHI6MH0se2NOOiJudW1iZXIiLGI6IlxcZCsoPzpbZUVdWytcXC1dP1xcZCopP0xcXGIiLHI6MH0se2NOOiJudW1iZXIiLGI6IlxcZCtcXC4oPyFcXGQpKD86aVxcYik\/IixyOjB9LHtjTjoibnVtYmVyIixiOiJcXGQrKD86XFwuXFxkKik\/KD86W2VFXVsrXFwtXT9cXGQqKT9pP1xcYiIscjowfSx7Y046Im51bWJlciIsYjoiXFwuXFxkKyg\/OltlRV1bK1xcLV0\/XFxkKik\/aT9cXGIiLHI6MH1dfX0pO2hsanMucmVnaXN0ZXJMYW5ndWFnZSgiamF2YXNjcmlwdCIsZnVuY3Rpb24oZSl7dmFyIHI9IltBLVphLXokX11bMC05QS1aYS16JF9dKiIsdD17a2V5d29yZDoiaW4gb2YgaWYgZm9yIHdoaWxlIGZpbmFsbHkgdmFyIG5ldyBmdW5jdGlvbiBkbyByZXR1cm4gdm9pZCBlbHNlIGJyZWFrIGNhdGNoIGluc3RhbmNlb2Ygd2l0aCB0aHJvdyBjYXNlIGRlZmF1bHQgdHJ5IHRoaXMgc3dpdGNoIGNvbnRpbnVlIHR5cGVvZiBkZWxldGUgbGV0IHlpZWxkIGNvbnN0IGV4cG9ydCBzdXBlciBkZWJ1Z2dlciBhcyBhc3luYyBhd2FpdCBzdGF0aWMgaW1wb3J0IGZyb20gYXMiLGxpdGVyYWw6InRydWUgZmFsc2UgbnVsbCB1bmRlZmluZWQgTmFOIEluZmluaXR5IixidWlsdF9pbjoiZXZhbCBpc0Zpbml0ZSBpc05hTiBwYXJzZUZsb2F0IHBhcnNlSW50IGRlY29kZVVSSSBkZWNvZGVVUklDb21wb25lbnQgZW5jb2RlVVJJIGVuY29kZVVSSUNvbXBvbmVudCBlc2NhcGUgdW5lc2NhcGUgT2JqZWN0IEZ1bmN0aW9uIEJvb2xlYW4gRXJyb3IgRXZhbEVycm9yIEludGVybmFsRXJyb3IgUmFuZ2VFcnJvciBSZWZlcmVuY2VFcnJvciBTdG9wSXRlcmF0aW9uIFN5bnRheEVycm9yIFR5cGVFcnJvciBVUklFcnJvciBOdW1iZXIgTWF0aCBEYXRlIFN0cmluZyBSZWdFeHAgQXJyYXkgRmxvYXQzMkFycmF5IEZsb2F0NjRBcnJheSBJbnQxNkFycmF5IEludDMyQXJyYXkgSW50OEFycmF5IFVpbnQxNkFycmF5IFVpbnQzMkFycmF5IFVpbnQ4QXJyYXkgVWludDhDbGFtcGVkQXJyYXkgQXJyYXlCdWZmZXIgRGF0YVZpZXcgSlNPTiBJbnRsIGFyZ3VtZW50cyByZXF1aXJlIG1vZHVsZSBjb25zb2xlIHdpbmRvdyBkb2N1bWVudCBTeW1ib2wgU2V0IE1hcCBXZWFrU2V0IFdlYWtNYXAgUHJveHkgUmVmbGVjdCBQcm9taXNlIn0sYT17Y046Im51bWJlciIsdjpbe2I6IlxcYigwW2JCXVswMV0rKSJ9LHtiOiJcXGIoMFtvT11bMC03XSspIn0se2I6ZS5DTlJ9XSxyOjB9LG49e2NOOiJzdWJzdCIsYjoiXFwkXFx7IixlOiJcXH0iLGs6dCxjOltdfSxjPXtjTjoic3RyaW5nIixiOiJgIixlOiJgIixjOltlLkJFLG5dfTtuLmM9W2UuQVNNLGUuUVNNLGMsYSxlLlJNXTt2YXIgcz1uLmMuY29uY2F0KFtlLkNCQ00sZS5DTENNXSk7cmV0dXJue2FsaWFzZXM6WyJqcyIsImpzeCJdLGs6dCxjOlt7Y046Im1ldGEiLHI6MTAsYjovXlxzKlsnIl11c2UgKHN0cmljdHxhc20pWyciXS99LHtjTjoibWV0YSIsYjovXiMhLyxlOi8kL30sZS5BU00sZS5RU00sYyxlLkNMQ00sZS5DQkNNLGEse2I6L1t7LF1ccyovLHI6MCxjOlt7YjpyKyJcXHMqOiIsckI6ITAscjowLGM6W3tjTjoiYXR0ciIsYjpyLHI6MH1dfV19LHtiOiIoIitlLlJTUisifFxcYihjYXNlfHJldHVybnx0aHJvdylcXGIpXFxzKiIsazoicmV0dXJuIHRocm93IGNhc2UiLGM6W2UuQ0xDTSxlLkNCQ00sZS5STSx7Y046ImZ1bmN0aW9uIixiOiIoXFwoLio\/XFwpfCIrcisiKVxccyo9PiIsckI6ITAsZToiXFxzKj0+IixjOlt7Y046InBhcmFtcyIsdjpbe2I6cn0se2I6L1woXHMqXCkvfSx7YjovXCgvLGU6L1wpLyxlQjohMCxlRTohMCxrOnQsYzpzfV19XX0se2I6LzwvLGU6LyhcL1x3K3xcdytcLyk+LyxzTDoieG1sIixjOlt7YjovPFx3K1xzKlwvPi8sc2tpcDohMH0se2I6LzxcdysvLGU6LyhcL1x3K3xcdytcLyk+Lyxza2lwOiEwLGM6W3tiOi88XHcrXHMqXC8+Lyxza2lwOiEwfSwic2VsZiJdfV19XSxyOjB9LHtjTjoiZnVuY3Rpb24iLGJLOiJmdW5jdGlvbiIsZTovXHsvLGVFOiEwLGM6W2UuaW5oZXJpdChlLlRNLHtiOnJ9KSx7Y046InBhcmFtcyIsYjovXCgvLGU6L1wpLyxlQjohMCxlRTohMCxjOnN9XSxpOi9cW3wlL30se2I6L1wkWyguXS99LGUuTUVUSE9EX0dVQVJELHtjTjoiY2xhc3MiLGJLOiJjbGFzcyIsZTovW3s7PV0vLGVFOiEwLGk6L1s6IlxbXF1dLyxjOlt7Yks6ImV4dGVuZHMifSxlLlVUTV19LHtiSzoiY29uc3RydWN0b3IiLGU6L1x7LyxlRTohMH1dLGk6LyMoPyEhKS99fSk7aGxqcy5yZWdpc3Rlckxhbmd1YWdlKCJ0ZXgiLGZ1bmN0aW9uKGMpe3ZhciBlPXtjTjoidGFnIixiOi9cXC8scjowLGM6W3tjTjoibmFtZSIsdjpbe2I6L1thLXpBLVrQsC3Rj9CQLdGPXStbKl0\/L30se2I6L1teYS16QS1a0LAt0Y\/QkC3RjzAtOV0vfV0sc3RhcnRzOntlVzohMCxyOjAsYzpbe2NOOiJzdHJpbmciLHY6W3tiOi9cWy8sZTovXF0vfSx7YjovXHsvLGU6L1x9L31dfSx7YjovXHMqPVxzKi8sZVc6ITAscjowLGM6W3tjTjoibnVtYmVyIixiOi8tP1xkKlwuP1xkKyhwdHxwY3xtbXxjbXxpbnxkZHxjY3xleHxlbSk\/L31dfV19fV19O3JldHVybntjOltlLHtjTjoiZm9ybXVsYSIsYzpbZV0scjowLHY6W3tiOi9cJFwkLyxlOi9cJFwkL30se2I6L1wkLyxlOi9cJC99XX0sYy5DKCIlIiwiJCIse3I6MH0pXX19KTtobGpzLnJlZ2lzdGVyTGFuZ3VhZ2UoInhtbCIsZnVuY3Rpb24ocyl7dmFyIGU9IltBLVphLXowLTlcXC5fOi1dKyIsdD17ZVc6ITAsaTovPC8scjowLGM6W3tjTjoiYXR0ciIsYjplLHI6MH0se2I6Lz1ccyovLHI6MCxjOlt7Y046InN0cmluZyIsZW5kc1BhcmVudDohMCx2Olt7YjovIi8sZTovIi99LHtiOi8nLyxlOi8nL30se2I6L1teXHMiJz08PmBdKy99XX1dfV19O3JldHVybnthbGlhc2VzOlsiaHRtbCIsInhodG1sIiwicnNzIiwiYXRvbSIsInhqYiIsInhzZCIsInhzbCIsInBsaXN0Il0sY0k6ITAsYzpbe2NOOiJtZXRhIixiOiI8IURPQ1RZUEUiLGU6Ij4iLHI6MTAsYzpbe2I6IlxcWyIsZToiXFxdIn1dfSxzLkMoIjwhLS0iLCItLT4iLHtyOjEwfSkse2I6IjxcXCFcXFtDREFUQVxcWyIsZToiXFxdXFxdPiIscjoxMH0se2I6LzxcPyhwaHApPy8sZTovXD8+LyxzTDoicGhwIixjOlt7YjoiL1xcKiIsZToiXFwqLyIsc2tpcDohMH1dfSx7Y046InRhZyIsYjoiPHN0eWxlKD89XFxzfD58JCkiLGU6Ij4iLGs6e25hbWU6InN0eWxlIn0sYzpbdF0sc3RhcnRzOntlOiI8L3N0eWxlPiIsckU6ITAsc0w6WyJjc3MiLCJ4bWwiXX19LHtjTjoidGFnIixiOiI8c2NyaXB0KD89XFxzfD58JCkiLGU6Ij4iLGs6e25hbWU6InNjcmlwdCJ9LGM6W3RdLHN0YXJ0czp7ZToiPC9zY3JpcHQ+IixyRTohMCxzTDpbImFjdGlvbnNjcmlwdCIsImphdmFzY3JpcHQiLCJoYW5kbGViYXJzIiwieG1sIl19fSx7Y046Im1ldGEiLHY6W3tiOi88XD94bWwvLGU6L1w\/Pi8scjoxMH0se2I6LzxcP1x3Ky8sZTovXD8+L31dfSx7Y046InRhZyIsYjoiPC8\/IixlOiIvPz4iLGM6W3tjTjoibmFtZSIsYjovW15cLz48XHNdKy8scjowfSx0XX1dfX0pO2hsanMucmVnaXN0ZXJMYW5ndWFnZSgibWFya2Rvd24iLGZ1bmN0aW9uKGUpe3JldHVybnthbGlhc2VzOlsibWQiLCJta2Rvd24iLCJta2QiXSxjOlt7Y046InNlY3Rpb24iLHY6W3tiOiJeI3sxLDZ9IixlOiIkIn0se2I6Il4uKz9cXG5bPS1dezIsfSQifV19LHtiOiI8IixlOiI+IixzTDoieG1sIixyOjB9LHtjTjoiYnVsbGV0IixiOiJeKFsqKy1dfChcXGQrXFwuKSlcXHMrIn0se2NOOiJzdHJvbmciLGI6IlsqX117Mn0uKz9bKl9dezJ9In0se2NOOiJlbXBoYXNpcyIsdjpbe2I6IlxcKi4rP1xcKiJ9LHtiOiJfLis\/XyIscjowfV19LHtjTjoicXVvdGUiLGI6Il4+XFxzKyIsZToiJCJ9LHtjTjoiY29kZSIsdjpbe2I6Il5gYGB3KnMqJCIsZToiXmBgYHMqJCJ9LHtiOiJgLis\/YCJ9LHtiOiJeKCB7NH18CSkiLGU6IiQiLHI6MH1dfSx7YjoiXlstXFwqXXszLH0iLGU6IiQifSx7YjoiXFxbLis\/XFxdW1xcKFxcW10uKj9bXFwpXFxdXSIsckI6ITAsYzpbe2NOOiJzdHJpbmciLGI6IlxcWyIsZToiXFxdIixlQjohMCxyRTohMCxyOjB9LHtjTjoibGluayIsYjoiXFxdXFwoIixlOiJcXCkiLGVCOiEwLGVFOiEwfSx7Y046InN5bWJvbCIsYjoiXFxdXFxbIixlOiJcXF0iLGVCOiEwLGVFOiEwfV0scjoxMH0se2I6L15cW1teXG5dK1xdOi8sckI6ITAsYzpbe2NOOiJzeW1ib2wiLGI6L1xbLyxlOi9cXS8sZUI6ITAsZUU6ITB9LHtjTjoibGluayIsYjovOlxzKi8sZTovJC8sZUI6ITB9XX1dfX0pO2hsanMucmVnaXN0ZXJMYW5ndWFnZSgianNvbiIsZnVuY3Rpb24oZSl7dmFyIGk9e2xpdGVyYWw6InRydWUgZmFsc2UgbnVsbCJ9LG49W2UuUVNNLGUuQ05NXSxyPXtlOiIsIixlVzohMCxlRTohMCxjOm4sazppfSx0PXtiOiJ7IixlOiJ9IixjOlt7Y046ImF0dHIiLGI6LyIvLGU6LyIvLGM6W2UuQkVdLGk6IlxcbiJ9LGUuaW5oZXJpdChyLHtiOi86L30pXSxpOiJcXFMifSxjPXtiOiJcXFsiLGU6IlxcXSIsYzpbZS5pbmhlcml0KHIpXSxpOiJcXFMifTtyZXR1cm4gbi5zcGxpY2Uobi5sZW5ndGgsMCx0LGMpLHtjOm4sazppLGk6IlxcUyJ9fSk7\"><\/script>\n\n<style type=\"text\/css\">\ncode{white-space: pre-wrap;}\nspan.smallcaps{font-variant: small-caps;}\nspan.underline{text-decoration: underline;}\ndiv.column{display: inline-block; vertical-align: top; width: 50%;}\ndiv.hanging-indent{margin-left: 1.5em; text-indent: -1.5em;}\nul.task-list{list-style: none;}\n<\/style>\n\n<style type=\"text\/css\">code{white-space: pre;}<\/style>\n<script type=\"text\/javascript\">\nif (window.hljs) {\n hljs.configure({languages: []});\n hljs.initHighlightingOnLoad();\n if (document.readyState && document.readyState === \"complete\") {\n window.setTimeout(function() { hljs.initHighlighting(); }, 0);\n }\n}\n<\/script>\n\n\n\n\n\n\n<style type=\"text\/css\">.main-container {max-width: 800px;margin-left: auto;margin-right: auto;padding-left: 5%;padding-right: 5%;}code {color: inherit;background-color: rgba(0, 0, 0, 0.04);}code a {color: inherit;}pre:not([class]) code::before {content: none;}body {background-color: #f5f5f5;}h1.title {font-size: 36px;margin-bottom: 20px;border: none;text-align: center;}h1 {padding-bottom: 9px;margin: 20px 0px 20px;border-bottom: 1px solid #EEE;font-size: 36px;}h2 {font-size: 30px;}pre[class^=\"r\"] {background-color: #e0e0e0; padding: 10px; border-radius: 5px; overflow-x: auto; word-wrap: break-word; color: inherit;line-height: 1.5;}pre[class^=\"r\"] code {background-color: transparent; border: none;}pre code.hljs {background-color: transparent;border: none;}pre,img {overflow-x: auto; background-color: transparent; border: none; }<\/style>\n\n\n\n\n<\/head>\n\n<body>\n\n\n\n\n<h1 class=\"title toc-ignore\">Replication of Figures (Thesis)<\/h1>\n\n\n\n<div class=\"main-container\">\n<div id=\"preparation\" class=\"section level3\">\n<h3>Preparation<\/h3>\n<p>Packages to Load.<\/p>\n<pre class=\"r\"><code>library(dplyr) # For Data Manipulation\nlibrary(lme4) # For Linear Mixed-effects Modeling\nlibrary(lmerTest) # For Type III Anova\nlibrary(ggplot2) # For Creating Customized Figures\nlibrary(gridExtra) # For Two ggplots Next to Each Other\nlibrary(corrplot) # Correlation plot<\/code><\/pre>\n<p>Encoding and Data.<\/p>\n<pre class=\"r\"><code>encoding <- "UTF-8" \ncsv_file <- "sen_youtube_data.csv" \ndf <- read.csv(csv_file, fileEncoding = encoding) # Load in the necessary file. Make sure its in the working directory.<\/code><\/pre>\n<\/div>\n<div id=\"figure-5.1-histogram-of-view-count\" class=\"section level3\">\n<h3>Figure 5.1 Histogram of View Count<\/h3>\n<pre class=\"r\"><code>figure_5_1 <- ggplot(df, aes(x = log_viewCount)) +\n geom_histogram(binwidth = 1, fill = "gray70", color = "black", alpha = 0.7, boundary = -1) +\n labs(x = "View Count (Log)", y = "Frequency") +\n theme_minimal() + theme(plot.title = element_text(hjust = 0.5)) + \n theme(\n text = element_text(size = 12),\n axis.title.x = element_text(size = 12, margin = margin(t = 10)),\n axis.title.y = element_text(size = 12, margin = margin(r = 10)),\n axis.text = element_text(size = 12, face = "bold"),\n panel.grid.major = element_blank(),\n panel.grid.minor = element_blank()\n ) \nfigure_5_1<\/code><\/pre>\n<p><img decoding=\"async\" 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\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\" width=\"672\" \/><\/p>\n<p>Function that customized each of the plots – instead of doing it\ntwice<\/p>\n<pre class=\"r\"><code>plot_sentiment_histogram <- function(data, sentiment_column, binwidth = 1\/10, title = "", x_label = "Sentiment Score") {\n ggplot(data, aes(x = !!sym(sentiment_column))) +\n geom_histogram(binwidth = binwidth, fill = "gray90", color = "black", alpha = 0.7, boundary = 0) +\n labs(title = title, x = x_label, y = "Frequency") +\n theme_minimal() + \n theme(plot.title = element_text(hjust = 0.5, size = 16, face = "bold"),\n axis.title.x = element_text(size = 16, margin = margin(t = 10)),\n axis.title.y = element_text(size = 16, margin = margin(r = 10)),\n axis.text = element_text(size = 16, margin = margin(t = 10), face = "bold"),\n axis.text.y.left = element_text(size = 16, margin = margin(r = 10)),\n panel.grid.major = element_blank(),\n panel.grid.minor = element_blank()\n ) \n}<\/code><\/pre>\n<\/div>\n<div id=\"figure-5.2-histogram-of-individual-sentiments\" class=\"section level3\">\n<h3>Figure 5.2 Histogram of Individual Sentiments<\/h3>\n<pre class=\"r\"><code>pos_sent <- plot_sentiment_histogram(df, "pos_prob", title= "Positive")\nneg_sent <- plot_sentiment_histogram(df, "neg_prob", title= "Negative")\ngrid.arrange(pos_sent, neg_sent, ncol = 2) # gridExtra package<\/code><\/pre>\n<p><img decoding=\"async\" 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\" width=\"672\" \/><\/p>\n<\/div>\n<div id=\"figure-5.3-histogram-of-composite-score\" class=\"section level3\">\n<h3>Figure 5.3 Histogram of Composite Score<\/h3>\n<pre class=\"r\"><code>figure_5_3 <- ggplot(df, aes(x = compound_score)) +\n geom_histogram(binwidth = 0.2, fill = "gray70", color = "black", alpha = 0.7, boundary = -1) +\n labs(x = "Sentiment Score", y = "Frequency") +\n theme_minimal() + theme(plot.title = element_text(hjust = 0.5)) + \n theme(\n text = element_text(size = 12), \n axis.title.x = element_text(size = 12, margin = margin(t = 10)),\n axis.title.y = element_text(size = 12, margin = margin(r = 10)),\n axis.text = element_text(size = 12, face = "bold"),\n panel.grid.major = element_blank(),\n panel.grid.minor = element_blank()\n ) \n\nfigure_5_3<\/code><\/pre>\n<p><img decoding=\"async\" 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aDwj+P2QDLVCFD4x3F7IJlqBCj847g9kEw1AhT+cdweSKYaAQr\/OG4PJFONAIV\/HLcHkqlGgMI\/jtsDyVQjQOEfx+2BZKoRoPCP4\/ZAMtUIUPjHcXsgmWoEKPzjuD2QTDUCFP5x3B5IphoBCv84bg8kU40AhX\/tx330+8p3A1tJphoBCv\/aj\/unK6PnP6t8T9BNMtUIUPjXGaATF8jQM0Iy1QhQ+Ndx3Hf\/uknQ0d6Fz+veHbSSTDUCFP51HvfRJ8\/OMvTVP9e8P2gjmWoEKPzbdtyLDH3q1fvV7g\/aSKYaAQr\/nnDcP3xyfpqh594lQwckmWoEKPx78nHPM3SPh6HDkUw1AhT+PfG47749mtv7dY07hBaSqUaAwr\/tx3335fkT+D+9TYIOSDLVCFD4t+W4548958\/dj94ajZ6pda+Qkkw1AhT+dR33n+bP3FdvBP3u\/Ogv\/q3SvUJKMtUIUPi37ZNIk6fu6W0E6EAkU40AhX\/dAbr5svvktqd5IX4YkqlGgMK\/rgBt+QznvV3fF3SRTDUCFP5x3B5IphoBCv84bg8kU40AhX9bjvvo\/zQ\/8vzpP\/0jP\/kcmmSqEaDwr\/O4v3959qL7T1dGe39b8Q6hhWSqEaDwr+u4H5wfLQN0NLpY8y7hBMlUI0DhX8dxfzfJz70Xps\/df\/iYD3EOTTLVCFD413HcN0drb\/q8yYc4ByaZagQo\/Ov4rZxvrT\/onDwc5S30g5JMNQIU\/nV+EmntY5t8iHNokqlGgMI\/AtQDyVQjQOFf51P40evLrx6MeAo\/LMlUI0DhX8dx31575b15RZ73MQ1KMtUIUPjXcdzTd39eePfevXt\/bC4MygPQYUmmGgEK\/7qO+7vzoxXeBjowyVQjQOFf90c5l79MbnSBx58Dk0w1AhT+bbuYyB9\/9corr\/yC3wg\/PMlUI0DhH8ftgWSqEaDwj+P2QDLVCFD4x3F7IJlqBCj86z7u6U9AF37BD0KHJJlqBCj8y3ob04iPcg5LMtUIUPi35XqgBOiZIZlqBCj86\/4o5+j5d+4t\/bnuvUJKMtUIUPjXfTERrqF8dkimGgEK\/zovZ8fHN88QyVQjQOFfzvVAMTTJVCNA4V\/nU3gC9AyRTDUCFP51v4j0evvfYACSqUaAwr\/u64HyEPTskEw1AhT+bXkj\/d6r96reFXSSTDUCFP51vojEG+nPEMlUI0DhHwHqgWSqEaDwryNAX34u9TwBOiTJVCNA4R\/H7YFkqhGg8I\/j9kAy1QhQ+MdxeyCZagQo\/Nt23D98+unv7x8fcSWmwUmmGgEK\/7qP+86zs1fff7py7vOKdwgtJFONAIV\/ncf98eLtS1yZaXiSqUaAwr+u426uqHzuH85PArS5NujT\/EqkQUmmGgEK\/7b8So\/XJg8+mzfQNwnKlUUGJZlqBCj86zjum9Mr0s8C9PgBl6cfmGSqEaDwr\/N6oM3PPecBOnk4ynP4QUmmGgEK\/7ZekX4eoFzbbmiSqUaAwj8C1APJVCNA4R9P4T2QTDUCFP51v4h0cRmgt3kRaWCSqUaAwr+O434wfw99E6CTP\/M2pmFJphoBCv86jrt57+feu02AHv3LiDfSD00y1VQDtKKh5xKdn0RKrknPRzkHJplqBCgB6l\/nGTSPQedOdTGRxx+Mx+Mbi68efXh1PN5\/85vV3+fcgg2SqaYaoBVLDT2X2HY5u+\/fbq7HtHfhs1MteDheC9DpFxP7149PcQs2qQaAXiUCNBjrM3g4XgvQRTae7hacoBoAepUI0GCMz+Dn99ai8Merq3C8dCv3FpykGgB6lQjQYIzP4GD9seT0i+vHj79o\/nst9xacpBoAepUI0GA6Pon0q1dSv8h7H9PD9Sfj00ejy5R88du8W9BCNQD0KhGgwXR+Fj6V91n45fPxG4uv9j9q\/vRw\/vw85xa0UA0AvUoEaDCWATp9B9P\/vLoI0FUkLmIy5xa0UA0AvUoEaDAdZ\/DDvYV\/fXu099q9rN\/M2byg\/tKPywA9XD4pnz5Rv5F3C1qoBoBeJQI0mIwz+O786LWcpZrovHRrFaAHJ8Ix5xa0UA0AvUoEaDA5Z3A767OczRP4yXPwzgC9lncLWqgGgF4lAjSYnDOYPATNuJzdwSwACdAdUA0AvUoEaDA5Z5B1RfqH8ygkQHdANQD0KhGgwWQ+An1igDb5N30RnZ+B7oBqAOhVIkCDyfsZ6JMvCLp4C\/3SDV6Ft6MaAHqVCNBgnngGR\/eaKyo\/8WegLQHK+0DNqAaAXiUCNJi8N9I\/+VX4lgDlk0hmVANArxIBGkxWgO49+X2gLQHKZ+HNqAaAXiUCNJiOAH35uZXnX836HNLc6kUkrsZkRjUA9CoRoMGYn8FagHI9UCuqAaBXiQANZpcByhXpragGgF4lAjSYnQYovxPJiGoA6FUiQIPZbYDyWzltqAaAXiUCNJiOK9L\/8dM2v8+7Lj2sqQaAXiUCNJjMCyqf5rr0MKcaAHqVCNBgCFAPVANArxIBGkznU\/hPzo9Gf\/nOp5\/+t8l\/L\/AUfliqAaBXiQANpusMHpwfvTCPy9uj0QvV7g\/aqAaAXiUCNJiOM0iuoXxzNHq90t1BK9UA0KtEgAbTcQY3168fMknTJ17ODrukGgB6lQjQYDpfRFp7wSjrivTYIdUA0KtEgAZDgHqgGgB6lQjQYDpehX9r\/ceeDzKuSI9dUg0AvUoEaDAdZ3B77U2f318ZjS5Wu0NooRoAepUI0GC6X4Uf7b3b\/OnoznkegA5NNQD0KhGgwXS+D3T22aPnZp9A+rzqfcIm1QDQq0SABtN5BnfPLz\/B+TT5OTDVANCrRIAGs+UM7v5Nk6FPXSA+B6caAHqVCNBgOAMPVANArxIBGgxn4IFqAOhVIkCD2XYGP0yvv3R0mt\/JiZ1QDQC9SgRoMN1ncOfZ2RVAf7pyjp+CDkw1APQqEaDBdJ7Bx4tLKP90Zf3CIhiCagDoVSJAg+k6g9uT9Dz3D+cnAdp8rJM30g9LNQD0KhGgwWz5JNJrkwefzec50w\/GYwCqAaBXiQANpvN6oM0FlWcB2nwq6Zn2\/xnqUA0AvUoEaDCdV2Nqfu45D1AuqDw01QDQq0SABrP1eqDzAOV6oENTDQC9SgRoMASoB6oBoFeJAA2Gp\/AeqAaAXiUCNJjuF5EuLgP0Ni8iDUw1APQqEaClRhVZ3N32mx\/M30PfBGhzaVDexjQo1QDQq0SAFqqZnzsM0Oa9n3vvNgF69C8j3kg\/NNUA0KtEgBbytn9da\/x0ZS2o+SjnwFQDQK8SAVrI2\/51rtE8Bp3jYiJDUw0AvUoEaCFv+7dlje\/fbq7HtHfhM4MyKKIaAHqVCNBC3vZP8Qz0qAaAXiUCtJC3\/etY4+Nz7xosDiOqAaBXiQAt5G3\/tr6RHmeEagDoVSJAC3nbv60f5cQZoRoAepUI0ELe9q\/zESgBeoaoBoBeJQK0kLf961iDT2+eKaoBoFeJAC3kbf+61rhzfnTunXsGBWBANQD0KhGghbztX8dT+F+98jfJh0Z5Qj8o1QDQq0SAFvK2f50vIo0I0LNDNQD0KhGghbztX0eAvvxc6nkCdEiqAaBXiQAt5G3\/FM9Aj2oA6FUiQAt52z\/FM9CjGgB6lQjQQt72T\/EM9KgGgF4lArSQt\/1TPAM9qgGgV4kALeRt\/zbX4EOcZ5FqAOhVIkALedu\/LQH6w70\/GxSAAdUA0KtEgBbytn\/dAcpj0bNDNQD0KhGghbztHwHqgWoA6FUiQAt52z8C1APVANCrVLdUPZqjbnF\/N74mQM8i1QDQq0SAehp1i\/u78TUBehapBoBeJc1SBGj3\/d34mgA9iyS\/KwlQN6UI0O77u\/E1AXoWSX5XEqBuShGg3fd342sC9CyS\/K4kQN2UIkC77+\/G1wToWST5XUmAuilFgHbf342vCdCzSPK7kgB1U4oA7b6\/G19PYnPvnU8b\/3p+8aeJ3983qIW+JL8rCVA3pQjQ7vu78fWJX+Yxw2PRQUl+VxKgbkoRoN33d+NrAvQskvyuJEDdlCJAu+\/vxtdHf\/y0DU\/hByX5XUmAuilFgHbfX4M1sGuS35UEqJtSBGj3\/TVYA7sm+V1JgLopRYB231+DNbBrkt+VBKibUru8TMkJtZoiQOOQ\/K4kQN2UIkC7vzUN1sCuSX5XEqBuSkk2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYDGoTrAepU0S0k2RYAOblRPxakSLCXZFPtXXMoiAwzWiKpifooOsF4lzVKSTRGgQ2OAvZSSbIr9Ky5lEQIGa0TFAHspJdkU+1dcyiIEDNaIigH2UkqyKfavuJRFCBisERUD7KWUZFPsX3EpixAwWCMqBthLKcmm2L\/iUhYhYLBGVAywl1KSTbF\/xaUsQsBgjagYYC+lJJti\/4pLWYSAwRpRMcBeSkk2xf4Vl7IIAYM1omKAvZSSbIr9Ky5lEQIGa0TFAHspJdkU+1dcyiIEDNaIigH2UkqyKfavuJRFCBisERUD7KWUZFPsX3EpixAwWCMqBthLKcmm2L\/iUhYhYLBGVAywl1KSTbF\/xaUsQsBgjagYYC+lJJti\/4pLWYSAwRpRMcBeSkk2xf4Vl7IIAYM1omKAvZSSbIr9Ky5lEQIGa0TFAHspJdkU+1dcyiIEDNZY+vo3V8fj8d\/97tvlLY8+nNyy\/+Y3x6e6xQkG2EspyabYv+JSFiFgsMbco\/fHc5c\/mt90OL9h\/\/rxKW7xggH2UkqyKfavuJRFCBisMfPj1fHS\/ixBD1e33DjOvsUNBthLKcmm2L\/iUhYhYLDG1OMPxmtebJ7Fr0fqpVvHmbf4wQB7KSXZFPtXXMoiBAzWmJom4eUvj4+\/vrp4CHrQpOL148dfNP+9dpx5ix8MsJdSkk2xf8WlLELAYI2pw+Uz94fzp+M\/v7eeks1j0pxbHGGAvZSSbIr9Ky5lEQIGa0x99cYbV2cBuAjF5jHpKlKb5+c5tzjCAHspJdkU+1dcyiIEDNbYMA3QG+uRuIjJnFscYYC9lJJsiv0rLmURAgZrbHg4fzJ\/uHxSvojUnFscYYC9lJJsiv0rLmURAgZrpKYvxzeheHAiHHNucYQB9lJKsin2r7iURQgYrJE6WLylcyMcr+Xd4ggD7KWUZFPsX3EpixAwWCPxhyY\/X2r+RIAaHnWtSpqlJJti\/4pLWYSAwRprHh8s30ZPgFoeda1KmqUkm2L\/iktZhIDBGiuzjyNdnr0biZ+BGh51rUqapSSbYv+KS1mEgMEaS7P8XLwdnlfhDY+6ViXNUpJNsX\/FpSxCwGCNhZ\/fTz6PyftADY+6ViXNUpJNsX\/FpSxCwGCNuenjz7WL0vFJJMOjrlVJs5RkU+xfcSmLEDBYY2aWn2uPIfksvOFR16qkWUqyKfavuJRFCBisMXM43qIQTI8AABS8SURBVPwhJldjsjvqWpU0S0k2xf4Vl7IIAYM1ptYv7DnPQq4HanfUtSpplpJsiv0rLmURAgZrTK1dWX75YJIr0psdda1KmqUkm2L\/iktZhIDBGo30gvSLZ+P8TiSro65VSbOUZFPsX3EpixAwWKOx8Qx+8eNMfiun0VHXqqRZSrIp9q+4lEUIGKwRFQPspZRkU+xfcSmLEDBYIyoG2EspyabYv+JSFiFgsEZUDLCXUpJNsX\/FpSxCwGCNqBhgL6Ukm2L\/iktZhIDBGlExwF5KSTbF\/hWXsggBgzWiYoC9lJJsiv0rLmURAgZrRMUAeykl2RT7V1zKIgQM1oiKAfZSSrIp9q+4lEUIGKwRFQPspZRkU+xfcSmLEDBYIyoG2EspyabYv+JSFiFgsEZUDLCXUpJNsX\/FpSxCwGCNqBhgL6Ukm2L\/iktZhIDBGlExwF5KSTbF\/hWXsggBgzWiYoC9lJJsiv0rLmURAgZrRMUAeykl2RT7V1zKIgQM1oiKAfZSSrIp9q+4lEUIGKwRFQPspZRkU+xfcSmLEDBYIyoG2EspyabYv+JSFiFgsEZUDLCXUpJNsX\/FpSxCwGCNqBhgL6Ukm2L\/iktZhIDBGlExwF5KSTbF\/hWXsggBgzWiYoC9lJJsiv0rLmURAgZrRMUAeykl2RT7V1zKIgQM1oiKAfZSSrIp9q+4lEUIGKwRFQPspZRkU+xfcSmLEDBYIyoG2EspyabYv+JSFiFgsEZUDLCXUpJNsX\/FpSxCwGCNqBhgL6Ukm2L\/iktZhIDBGlExwF5KSTbF\/hWXsggBgzWiYoC9lJJsiv0rLmURAgZrRMUAeykl2RT7V1zKIgQM1oiKAfZSSrIp9q+4lEUIGKwRFQPspZRkU+xfcSmLEDBYIyoG2EspyabYv+JSFiFgsEZUDLCXUpJNsX\/FpSxCwGCNqBhgL6Ukm2L\/iktZhIDBGlExwF5KSTbF\/hWXsggBgzWiYoC9lJJsiv0rLmURAgZrRMUAeykl2RT7V1zKIgQM1oiKAfZSSrIp9q+4lEUIGKwRFQPspZRkU+xfcSmLEDBYIyoG2EspyabYv+JSFiFgsEZUDLCXUpJNsX\/FpSxCwGCNqBhgL6Ukm2L\/iktZhIDBGlExwF5KSTbF\/hWXsggBgzWiYoC9lJJsiv0rLmURAgZrRMUAeykl2RT7V1zKIgQM1oiKAfZSSrIp9q+4lEUIGKwRFQPspZRkU+xfcSmLEDBYIyoG2EspyabYv+JSFiFgsEZUDLCXUpJNsX\/FpSxCwGCNqBhgL6Ukm2L\/iktZhIDBGlExwF5KSTbF\/hWXsggBgzWiYoC9lJJsiv0rLmURAgZrRMUAeykl2RT7V1zKIgQM1oiKAfZSSrIp9q+4lEUIGKwRFQPspZRkU+xfcSmLEDBYIyoG2EspyabYv+JSFiFgsEZUDLCXUpJNsX\/FpSxCwGCNqBhgL6Ukm2L\/iktZhIDBGlExwF5KSTbF\/hWXsggBgzWiYoC9lJJsiv0rLmURAgZrRMUAeykl2RT7V1zKIgQM1oiKAfZSSrIp9q+4lEUIGKwRFQPspZRkU+xfcSmLEDBYIyoG2EspyabYv+JSFiFgsEZUDLCXUpJNsX\/FpSxCwGCNqBhgL6Ukm2L\/iktZhIDBGlExwF5KSTbF\/hWXsggBgzWiYoC9lJJsiv0rLmURAgZrRMUAeykl2RT7V1zKIgQM1oiKAfZSSrIp9q+4lEUIGKwRFQPspZRkU+xfcSmLEDBYIyoG2EspyabYv+JSFiFgsEZUDLCXUpJNsX\/FpSxCwGCNqBhgL6Ukm2L\/iktZhIDBGlExwF5KSTbF\/hWXsggBgzWiYoC9lJJsiv0rLmURAgZrRMUAeykl2RT7V1zKIgQM1oiKAfZSSrIp9q+4lEUIGKwRFQPspZRkU+xfcSmLEDBYIyoG2EspyabYv+JSFiFgsEZUDLCXUpJNsX\/FpSxCwGCNqBhgL6Ukm2L\/iktZhIDBGlExwF5KSTbF\/hWXsggBgzWiYoC9lJJsiv0rLmURAgZrRMUAeykl2RT7V1zKIgQM1oiKAfZSSrIp9q+4lEUIGKwRFQPspZRkU+xfcSmLEDBYIyoG2EspyabYv+JSFiFgsEZUDLCXUpJNsX\/FpSxCwGCNqBhgL6Ukm2L\/iktZhIDBGlExwF5KSTbF\/hWXsggBgzWiYoC9lJJsiv0rLmURAgZrRMUAeykl2RT7V1zKIgQM1oiKAfZSSrIp9q+4lEUIGKwRFQPspZRkU+xfcSmLEDBYIyoG2EspyabYv+JSFiFgsEZUDLCXUpJNsX\/FpSxCwGCNqBhgL6Ukm2L\/iktZhIDBGlExwF5KSTbF\/hWXsggBgzWiYoC9lJJsiv0rLmURAgZrRMUAeykl2RT7V1zKIgQM1oiKAfZSSrIp9q+4lEUIGKwRFQPspZRkU+xfcSmLEDBYIyoG2EspyabYv+JSFiFgsEZUDLCXUpJNsX\/FpSxCwGCNqBhgL6Ukm2L\/iktZhIDBGlExwF5KSTbF\/hWXsggBgzWiYoC9lJJsiv0rLmURAgZrRMUAeykl2RT7V1zKIgQM1oiKAfZSSrIp9q+4lEUIGKxxtowqqnfUtSpplpJsiv0rLmURNwZrnCk185MBdlJKsin2r7iURd4YrHGmSJ61ZFPsn5tSkk0RoK0kz1qyKfbPTSnJpgjQVpJnLdkU++emlGRTBGgrybOWbIr9c1NKsikCtJXkWUs2xf65KSXZFAHaSvKsJZti\/9yUkmyKAG0ledaSTbF\/bkpJNkWAtpI8a8mm2D83pSSbIkBbSZ61ZFPsn5tSkk0RoK0kz1qyKfbPTSnJpgjQVpJnLdkU++emlGRTBGgrybOWbIr9c1NKsikCtJXkWUs2xf65KSXZFAHaSvKsJZti\/9yUkmyKAG0ledaSTbF\/bkpJNkWAtpI8a8mm2D83pSSbIkBbSZ61ZFPsn5tSkk0RoK0kz1qyKfbPTSnJpgjQVpJnLdkU++emlGRTBGgrybOWbIr9c1NKsikCtJXkWUs2xf65KSXZFAHaSvKsJZti\/9yUkmyKAG0ledaSTbF\/bkpJNkWAtpI8a8mm2D83pSSbIkBbSZ61ZFPsn5tSkk0RoK0kz1qyKfbPTSnJpgjQVpJnLdkU++emlGRTBGgrybOWbIr9c1NKsikCtJXkWUs2xf65KSXZFAHaSvKsJZti\/9yUkmyKAG0ledaSTbF\/bkpJNkWAtpI8a8mm2D83pSSbIkBbSZ61ZFPsn5tSkk0RoK0kz1qyKfbPTSnJpgjQVpJnLdkU++emlGRTBGgrybOWbIr9c1NKsikCtJXkWUs2xf65KSXZFAHaSvKsJZti\/9yUkmyKAG0ledaSTbF\/bkpJNkWAtpI8a8mm2D83pSSbIkBbSZ61ZFPsn5tSkk0RoK0kz1qyKfbPTSnJpgjQVpJnLdkU++emlGRTBGgrybOWbIr9c1NKsikCtJXkWUs2xf65KSXZFAHaSvKsJZti\/9yUkmyKAG0ledaSTbF\/bkpJNkWAtpI8a8mm2D83pSSbIkBbSZ61ZFPsn5tSkk0RoK0kz1qyKfbPTSnJpgjQVpJnLdkU++emlGRTBGgrybOWbIr9c1NKsimZAH304dXxeP\/Nb2xWkzxryabYPzelJJtSCdDD8cz+dZPlJM9asin2z00pyaZEAnSRnxM3LNaTPGvJptg\/N6Ukm9II0B+vrgL00i2DBSXPWrIp9s9NKcmmNAL0oEnO68ePv2j+e81gQcmzlmyK\/XNTSrIpiQD9+b1FbjZJ+uK35StKnrVkU+yfm1KSTUkEaPMMfv+j5k8PjZ7DS561ZFPsn5tSkk1JBOgqNldRWkbyrCWbYv\/clJJsSiJAD5dP3KdP5g1eh5c8a8mm2D83pSSbkgjQgx0EKABkKI+bMxagBi\/DD30mAJwojxu9AAWAWghQAOjpbAWoyYc5AaAOuVfhAaAWufeBAkAtcp9EAoBa5D4LDwC1yF2NCQBqGTpAza8HCgC1DB2g5lekB4BaBg9Q69+JBAC1DB+gxr+VEwBqOQMBCgA+EaAA0BMBCgA9EaAA0BMBCgA9EaAA0BMBCgA9EaAA0BMBCgA9EaAA0BMBCgA9EaAA0BMBCgA9EaAA0BMBCgA9EaAA0BMBCgA9EaAA0BMBCgA9EaAA0BMBCgA9EaAA0BMBCgA9EaAA0BMBCgA9EaAA0BMBCgA9EaAA0BMBCgA9EaAA0BMBCgA9EaAA0BMBCgA9EaAA0BMBCgA9EaAA0BMBCgA9EaAA0BMBCgA9EaAA0JNMgP783nj84rcnb3\/04dXxeP\/Nb+rfo2F09tts0ELbRgnZcuaMw1ygcVjZQUjIBOhh+yAczmdk\/\/oA92kA3f3+eDXKd8yWM2ccFuKMw5odhIRKgD5sH4TD1ZTcGOJu1bal34erv9L+jtmyB4zDUphxWLOLkBAJ0K+utu7N+v\/NXro1yD2ralu\/a2Mi\/R2zZQ8Yh5Uo47BmJyEhEaCPv+gYhIPm1uvzv782wD2rbFu\/B0Eedm3ZA8Yh\/bsI47C0o5BQCNCv3+\/4f9LpD8qnW3IQ4v9nt\/X7+IPxeP+jYe5XTVv2gHFYiTIOS7sKCYEAXT0Z2ey+eXA+m5KHIZ60beu3mRP9Hdi6B4zDSpRxWNhZSIgE6P71tv\/7WO3IapeUbeu3+bvL\/zy5+a\/+Sfqh15Y9YBzSv4swDgs7CwmNAP3ll62Pv1fvWpg+Tpf\/kc+2ftdeNLisHB1b9oBxSP8uwjgs7CwkFAJ0sjPtP8A4CPYds63fg9V3jPSDry17wDikfxdhHBZ2FhICATqTsTfyr7tu6bd50WBF+AWULXvAOCyFGYfUDkKCABWypd\/pDZf\/1\/Hx19N3vek++iJAlxiHTQRoNwJ0+0OOf\/\/tf5791fR9wy8Ncv9qIECXGIdNBOjC8oNoy6PfwY83fFjbirx+23ZKx5Y9CDEOaxiHTTsICekADfGy69pW5PWr\/R3Dq\/BLjMOmHYSEdICGeOPf2lbk9av9HcP7QJcYh007CAnpAA3x0ZO1rdjS71e\/fePqbHumL8Dq\/tCLTyItMQ6bdhASTgP0pLa94cPPS9M3Tk+fnkxfNdB9AYXPwi8xDpt2EBLSAcrld5am3yfNBWOn71tRfvS15cwZh4U445DYQUhIBujyz1wAcrkVB+M1yuGxZQ8Yh3jjkNhBSGgHKJcgX27Fz++v\/uol6Wev3XvAOAQch3U7CAnxAA3\/S3BWW7H69N6b4t8w3XvAOAQchzU7CAn1AI3+axjXt+L\/\/ab5q+lVFbRt2QPGId44rOwgJGQCFABqI0ABoCcCFAB6IkABoCcCFAB6IkABoCcCFAB6IkABoCcCFAB6IkABoCcCFAB6IkABoCcCFAB6IkABoCcCFAB6IkABoCcCFAB6IkABoCcCFAB6IkABoCcCFAB6IkABoCcCFAB6IkABoCcCFAB6IkABoCcCFAB6IkABoCcCFAB6IkABoCcCFAB6IkABoCcCFAB6IkABoCcCFAM4uvvy+dFo9NQvPj\/VP\/v+3ek\/fmv0F\/9mcCdmq1ncL4RFgKK+O01KzTydH1VHH48uTv9rEqCL1crvFwIjQFHdg9Ga\/Cyc\/DPDAF2sVn6\/EBgBitp+ujIanXv3\/uRP9z6ZPOR7+n7mv2uJvAInV+t7vxAYAYrabq+F03eTpHo989\/tOkD73i8ERoCitpujvV8vv5ik1jOZ\/27XAdr3fiEwAhS1JUE1eag3D6qjO8+NRqPn3509CJz+oPPok2dHo70L09dzFj+gfH3xM9DJM+6n7x\/debZ53t38g+Zp91OvLdbNXi3jfq3+2fTruy+vrTz5V0\/fvzv5Xzz\/+Ymq0EeAorbbrY8kv1u8An5uGlVN5P3v82sx1xqg\/\/et2Y0Xj7\/\/69mfnjntak+8X\/OF9+b\/00Wh+cpNgN6Z\/v2vT1SFPgIUtTUx88KfW25cf\/376K21V8SbcGoN0P+6+B\/89+X\/\/PVTrvaE+9W8srT6Z+tfz1+nvzl66vw8uTerQh8BiupuT\/PoL99ZC6vZK+DNc+Dzs0eR08jbe+1+837N+SPDjbcxTaPs3GeTx4RXFg\/67s7\/8WlW236\/Jvk4+Xezx53PLL5+9f7sBwaLG+ZvGj1RFfoIUNS3fMP68qeFD5avgE9iqHms10Te\/GHc4vWclgCd\/Zvm4eTyT80fTrPa9vs1\/\/fLP0weZM5\/ULr4081lrRNVoY8AxQCO7i5+ktg8nDtOXsCZJVsTefOAm0TVNJhaAnT2DHyVV5M\/NX91mtW2368Hy8eSt6fV1l6cvzlb4OZynRNVoY8AxUD+9MnL06hq4mz6ivr89tnr35PIW8RRd4DOH1Ru\/ulUq229X\/PYXLm5+nr+Ov3NtRjfqAp9BCgG9P3bsx9Jrr00M8+uwgDNX23r\/Urf2pQE8WKhm2uPfjeqQh8BikFNYmgSeWuvXxsE6KlW23q\/WgJ0+fr6\/BHnzbUfihKg4RCgqOzm5tvXJ18uUm2lMEDzV9t6v07zCPRkVegjQFHZxockpz9lXEXgQuFT+PzVtt6vbT8Dnb++dHPjBSyEQoCisvmT47lZtDWvkqfX7igJ0FOttvV+rb0KP3tdqO1V+PnKJ6tCHwGKypqgWX3U8fbsDZrNfz5f3nKxLEBPtdr2+7V63+csL9veB7pY+URV6CNAUdv01ZYLn91fvO2yiZrmJezmk0LHP3w8Wrz1vSXypv99coCeZrXt92vxSaTmE0zTGuufRJr++1WAnqgKfQQoqruTvFw9e0q8fjX4JrlaIm\/2MvfrGQF6mtWecL\/W3px0cePrxWfh198+n\/6PIY8ARX2LKxxN7P3t\/LYH55PsaYm82RVBLuYE6ClWe9L9Wl596eLG18urMa0ebG5UhT4CFEP409vNhTP3nv\/H1bPoo0+am556dXYpj5bIOz5q3t7+QlaA5q\/25PvVXA90drnP2dfz64HOv0ze6JRWhT4CFAB6IkABoCcCFAB6IkABoCcCFAB6IkABoCcCFAB6IkABoCcCFAB6IkABoCcCFAB6IkABoCcCFAB6IkABoCcCFAB6IkABoCcCFAB6IkABoCcCFAB6IkABoKf\/D17TzOdH7VJVAAAAAElFTkSuQmCC\" width=\"672\" \/><\/p>\n<\/div>\n<div id=\"figure-5.4-correlation-matrix-video-level\" class=\"section level3\">\n<h3>Figure 5.4 Correlation Matrix (Video Level)<\/h3>\n<pre class=\"r\"><code>video_df <- df[c("neg_prob", "pos_prob","compound_score", "log_viewCount",\n "durationMin")]\n\ncorr_matrix <- cor(video_df)# Creating a matrix\ncustom_labels1 <- c("Negative Prob.", "Positive Prob.", "Composite Score", "View Count (Log)",\n "Duration (Min)") # Custom Labels\nrownames(corr_matrix) <- colnames(corr_matrix) <- custom_labels1\n\n\ncorrplot(corr_matrix, method = "number", col = gray.colors(50),\n tl.col = "black", tl.srt = 45, tl.cex = 0.8)<\/code><\/pre>\n<p><img decoding=\"async\" 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\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ZD\/qPyRTWvJ1207WYuO\/D6fKSu+NawXN99eaDFlnbgpq8xNQX5fiCnrxE1ZZW5mhePVH\/D21WJ6P\/PLj6auDA\/blHXipqwy1+7Bl8X0fuyNd6auDI+9m7JO3JRF4Q7jgJhJWgW5Za242nrI3Y+8OiWTlwABfunVLE+Wmqxo5g+8KI\/3RvvZiud5Rs42NaGXrzyRznWvpOXsS0D71ob5Iet1+8bIInpp+bh5\/jmHYPzMI\/Tyk8lPpXb2fuG3a3Q0\/u0e6nkvl0K+rhSML4RzK7bPtxdatCf4PQX4GfL7zva1a9euXLly5cqvf\/3rmqXiSiXuZh7Kv1oKC7dXqsIXVpnrNoL+3u2bV69e\/eCDDz744D\/Lw\/fv\/Xeht796wHs3C7Xqz5x7n6732RVSeaXMfCHSzzSC\/snXf7anvR879WZN1zsORCFEV0rBFxJ4txH0cx1w9\/7nn3\/+6aeffvrpH\/\/4x5ql4orH2feh\/EskW1OpZm3h7KW56yF36MBHv3D7uQImc+GrbySxf8nXxoS+Fxbfk2FiB38VJ6HnhcZo37PLvEulRKFz3yp\/X9hQyDBW2g8Lo9yzce8m9Abh9Pnr8qKSYctqcTP8cw6eDK7HpvZkpIpr1pJXYTgMw\/IvrThTSQhhovQZgAxZ8WO6tbU1IcZ5+\/nTZ89ffjn\/xnv29Jm1pRXa59trlW1d\/vjj1g0KY+h3trd37HXeCuXiZu+AnyH971hpv1pnvvAoYOXz+7n3f\/vb1g3OvPqqEPlS7f9974KV6G\/fthdg79YB\/7fbv8v3unf7tjg3mWhfyu\/nzhWn4JdGzjNufl7Hjh0TYhy0n\/zjwZMfWTG7MLZ9hg740sj52nHzODDrL1tD3nfv\/333rBXAC+XiOvaXz3fAx7v37092qtSZ3\/37fTruOxrPJo0io6x7wObBnbbsJtqEkQ5Kd8RZ\/p+7Ax+Hjx74ldDcC6\/iJIlDe+2IdMXz6oLnMihtma6MXk2R2SqT+XbjA6r00aE1El8GSRxOtpzaET9eFr2x\/PwM\/5yDVz2ZbDH5SnUAIYQQm9nv19o4Tkb126KjI0eP5D883\/32YTa5\/fmzx98+tJP4UXvt+fn2QoutLSsq79y6ci3Lyjvbt67Y9e9mHgI\/S\/ovHXz72uQ0xM72rSuFPvnGpeQxVojR93436QG\/d\/tmYQm3M+d+2ilNF2P57av58a6WhsZfKOT3ezd\/U1jvnZp18zv1Q2sy+ZOvJv3mTx58XVj47dgPT3XM4PZ67kKIas26yim8+fMm77xxrG5DJsC3Ov2KFZV3\/\/rp51lW3r1\/59PP7bh9+pVuuXmeA66\/crpQZ\/7zyV5i9\/6dTz+1lpETp8+eJcC3yId3jkdsGh21De605SNVPT9iwKfjBoe08CCWVdYl3I\/q72j1ySefCCHee++9RZ\/IDJ49\/HuemdfWT558uZqZ27Z5\/vjbb3enlaQ7cuKVE0fsF+bbaxGcadOdUkKuVa5ZXyhvv1Fe6a1y1Okl71vq5dvqPupQudGslZpxdco16wvl7Yud5S2V7xuP1+kcaj\/tsLnRppVKc3XKZeMefPknu3J83sXe6Wg1+3U5t57UrnOgWXdLCbnW6bf\/vdApfv\/zP+ZpfP3H775rpeq9H7BZ6aMWpUuzDgYDIcT\/\/M\/\/7P3j\/vVf\/1XMsA58\/fzVym14w4DN8csVDOx0DD3wmE77g6YicOM6awy7QS+tvXxifUo3+ZETlRw+315osXH+8rRIvHV5xhXnyh8xfdT71uXL07v4ty5PPVUIIcSZC79qWLZ94tz7M6w4N33jM+VNSoPrsVfHfvTmG1M610+92TU4P3nwj4Mrao+u1s++\/eMpkfj0281rvO3TAU+\/\/fbpqcH89Ntv9yC9955U8ag8zjVOunaiySApjpJd4EBV7AUBHtNls2pMeMnX+VpwJn8KyLAb9NbayydPNqbxtSMnTtYG8fn2QovWbu2NrcsfzhHfqyXtp9m63Nq5np4H8b2jMxc++qgxw5859\/5HMy4Yf+79tsP98qPy8cjv++\/Yj955pzHDHzv15jud+73J732xfvbddxsj9\/rpt9+dJb7PfcDTb7fsNN6N+N6RVHGSjDL1MzNlkG5QDeaysPcoSeKA2ZruYQonOpisJ699rzJu59DrwwGzWXv55CtHnj3e3X36bFJUfm3tyPqJ9SMtZeTn2wstNs5\/+PHW9q1bt7a3J8l7Y2Pr\/OXzW\/tQM65r3bmN8x9+vLWzfevarZ0d+zS2zp8\/T3af1ZkLH\/32p7dv3rx5+\/ak8vyZM+cu\/OrCuTNzDFdPD3f1Nzf\/dm98uDNnzp27UHE7JwAAIABJREFUcOGnNYcjvx+MYz965+enHnz91Vf\/eDApRX\/s2Kk33nzj1AzF58nvfbJ+9t1\/f+X+nTt37t+fFIpfXz999u2zp+erGTfXAdfPvvvvr+zev\/P5nd1de6\/TZ8+eJbsDM2EOPLoyOooiPTSTPngplQoCHtw5w4HZepgRbbqUaNblQ5suJZp1KfV7DjwgBD3w6E6qIFbBos8CAAAAAFYUc+ABAAAAAHAAAR4AAAAAAAcwhB4AAAAAZvDPf\/5z0aeAFUUPPAAAAAAADiDAAwAAAADgAAI8AAAAAAAOIMADAAAAAOAAAjwAAAAAAA4gwAMAAAAA4AACPAAAAAAADiDAAwAAAADgAAI8AAAAAAAOIMADAAAAAOAAAjwAAAAAAA4gwAMAAAAA4AACPAAAAAAADiDAAwAAAADgAAI8AAAAAAAOWFv0CQAAAACAS168eLHoU8CKogceAAAAAAAHEOABAAAAAHAAAR4AAAAAAAcQ4AEAAAAAcAABHgAAAAAABxDgAQAAAABwAAEeAAAAAAAHEOABAAAAAHAAAR4AAAAAAAcQ4AEAAAAAcAABHgAAAAAABxDgAQAAAABwAAEeAAAAAAAHEOABAAAAAHDA2qJPAAAAAABc8uLFi0WfAlYUPfAAAAAAADiAAA8AAAAAgAMI8AAAAAAAOIAADwAAAACAAwjwAAAAAAA4gAAPAAAAAIADCPAAAAAAADiAAA8AAAAAgAMI8AAAAAAAOIAADwAAAACAAwjwAAAAAAA4gAAPAAAAAIADCPAAAAAAADiAAA8AAAAAgAMI8AAAAAAAOGBt0ScAAAAAAC558eLFok8BK4oeeAAAAAAAHECABwAAAADAAQR4AAAAAAAcQIAHAAAAAMABBHgAAAAAABxAgAcAAAAAwAEEeAAAAABwgNG+5w0ynudrM+Pu0Z72Rw+wDjwAAAAA9J32B762fjZG+95AxaNYddjbaN8r7D7j\/ugJeuABAAAAoNdMlMZvqeJkNBqNRkkcSiGE0L4XTe9Hn6R3Gc61P3qDAA8AAAAAfaaj0AghZHg9VlIIIYRUQZKEUghhwki37ixMFGXpPUkCa\/+0693oGyR4dxDgAQAAAKDHtNZCCKGCQNovyyBQ1ttNzA2dpf\/i7kIF6RMAErxDCPAAAAAA0F9mOBRCCKUqk9Wzl4bDlgQ+zu\/qoiy\/JYNkNBqNkqDyDvqKAA8AAAAA\/TU0U3rIjRlO3Xtzk5S+DKhCD6yWTz75ZNGngH1Gmy4lmnX50KZLiWbF3g0Gg8n\/H41GdZtkHfBSblbf25RSaJN2wdcHdHtvo6Mo0jpN9FKq4HqgJLneKfTAAwAAAMCSmnTAi8jz\/FBPevON0b7nUYPeMfTAA6vlvffeW\/QpYN+kPT+06ZKhWZcPbbqUaNal1H1IxYsXL\/brQxt63fed9j0tpAqDIK1Db3R0yQ+NMKHnb7IUvDvogQcAAACApafiJB6vImctQyd0RC+8OwjwAAAAALDkZBiUu9nHy9CxjpxDCPAAAAAA0Ftys6Z6XWZ6ifnNrEpd7SablLBzDQEeAAAAAPorjdkta8XVFqgfv9cS\/+EeAjwAAAAA9FeWwbXW5Xeyl1rXeM962Wv2Zo14BxHgAQAAAKDHlFJCVKvNmSjS1tsNxjPdq7Xquu2PXiHAAwAAAECfqSCUQggTer5OU7jRkeeFRtRWp2vce7L7TPujRwjwAAAAANBrMriertWufW8wGAwGnh8aIYRQcRLY499NlL1vd7fLIImz1d+z3cf7y\/L+6DkCPAAAAAD0nFTxKIlVXjZeShUno7hj77mKk6S8exgnSdf90RNriz4BAAAAAMB0UsXJlMAtg2QUNLzVYXf0HT3wAAAAAAA4gAAPAAAAAIADCPAAAAAAADiAAA8AAAAAgAMoYgcAAAAAM3jx4sWiTwErih54AAAAAAAcQIAHAAAAAMABBHgAAAAAABxAgAcAAAAAwAEEeAAAAAAAHECABwAAAADAAQR4AAAAAAAcQIAHAAAAAMABBHgAAAAAABxAgAcAAAAAwAEEeAAAAAAAHECABwAAAADAAQR4AAAAAAAcQIAHAAAAAMABBHgAAAAAABywtugTAAAAAACXvHjxYtGngBVFDzwAAAAAAA4gwAMAAAAA4AACPAAAAAAADiDAAwAAAADgAAI8AAAAAAAOIMADAAAAAOAAAjwAAAAAAA4gwAMAAAAA4AACPAAAAAAADiDAAwAAAADgAAI8AAAAAAAOIMADAAAAAOAAAjwAAAAAAA4gwAMAAAAA4AACPAAAAAAADlhb9AkAAAAAgEv++c9\/LvoUsKLogQcAAAAAwAEEeAAAAAAAHECABwAAAADAAQR4AAAAAAAcQIAHAAAAAMABBHgAAAAAABxAgAcAAAAAwAEEeAAAAAAAHECABwAAAADAAQR4AAAAAAAcQIAHAAAAAMABBHgAAAAAABxAgAcAAAAAwAEEeAAAAAAAHLC26BMAAAAAAJe8ePFi0aeAFUUPPAAAAAAADiDAAwAAAADgAAI8AAAAAAAOIMADAAAAAOAAititCO0PfN34rpRKBcFFJeXBn4MMkySwP8doLZSS0zY7cAv6FZnI80KzgH9v7+1s37p1a3t7Zyf7eWNj6\/zl81sbGzMcY\/var69td9144\/yHH563j95h78o+6ObZw78\/fJb+37X1kydfnvNP0fNnj3d3nz57\/jz7eW3tyPqJ9SNr7Yebby\/U+v7p7u7u06fff5\/9\/NJLR9dPrB996aV9O9zR9fX1oy2He\/rd37572n7Ul\/7l1Kn1Oc9oZT36Zvsvf\/n6m0ePsp+PH3\/9J+\/95PXjx\/d0vEePJgcUx4+\/\/qOf\/OT1GQ75aPv3v\/\/LeP\/X3\/t\/33t9zpNZUY\/ufvHFF3fvWm362lv\/9tZrc7ep5e5n\/99nd7OjvvWLX7zVfMiak3jtrbfeem0fTgJYHdywQAhhjDa+DqWKk1gd5udq\/5KvjYpHqu\/ZdVG\/ohW1c+vKlVs7pdd2tq9d2d7Yunz58tahROadnZ3pG2Eezx\/vPtuHg3z77e7z0mvPnz389tnakRMnThyp\/+s2316o9f3ugwf\/+33pte+ffvfg6UtHf3DiB22pu+5oT797+N3T6uG+\/+7p\/7Yc7\/vnz+texl4UgvL4tUfffPL7b46\/\/t57770+Y9Z69M0nn3zyzaPKy4+++csn3\/zl+Os\/ee+9rQ6HfLT9Sfmk0NmjL\/7why8qbXr3sz\/cPf7az\/7tZ3vLz4+++OJul83ufvZfn92tnsSjz+5+sQ9nAawQhtCvFhWPaiRJrKQQwmi\/pQ96nz7c7mceam06bHaoFvorghD16T1\/c\/vale6d6ns7DwL8wXj2sBKhZ1aXw\/M3nz389mHdE4L59kKtuvSev\/n0uwfTusWLnn73oJLey8erffv59417YS516T1\/85tPfv\/JN7Meria924f8y+9\/vz01mX\/zSfNZYYq69J6\/efezP3zWJX83uftZ88GLm1XSe\/ksaOFujPY9b5DxPL\/mXrrzoSJvMBi0jUBFLxHgIYTM+5V1FM3\/NbDE+BUdmp1b1xrTe2b72kFE+K3zxY598vtB2J+U\/Pzxw2mPAJ49rHzMfHuh1ve7DxvTe+bpd50j\/Pe7HeL+0+8e7lY\/kg74fdahm\/ubT7pH+I695o\/+8kl7hJ\/lM1Hy6Iv\/mhaw7342Z4Tvmv4ffdFhs7ufTT1RCKH9gedrM7kTNUb73pwJ3ESXQm5pncRwQWSUUkJrYcxQiL6PZ18QfkWHYPtWIb5vXf7w8taGEDvbt65ZwX771q2drQ5zz7cuf\/xx80dZU9w3zn9YHphvB\/ityx9f3ur2D0Cj588eP5waobt4tls4ypETJ08cWasc\/9nu4+dHrMn18+2FWk93C\/H96A9O\/eDoS0J8\/3T34Xf5O093d78\/2mHu+ffPCp3rL\/3LD06ks95Lo+q\/\/9\/dp+s\/OFrY1+6AP\/qDV0vvYlbf\/KWQt19\/7z\/ee\/24EI++2f7ESuLf\/GX70eudRr1\/87V9OGsAfumI4tHX3zzaajok8X0v7n5RSMWv\/ewXP3vtuBCP7n7xX5\/l79z94otHr7VMXa9ROkL7poXO9eNv\/ezf0lnvpVH1j7744u5bP3ttlrNYMSbyfC2EkCq+HisphNHRJT80QvteNGstJeK7w+iBx9hmbX02o6PiQJ2odqROcbP6DbU\/GAwGXtp\/rf18yE76RvGnbLNsbI9X3+mdvlt8s+MJz6X8K0pP1dfCaH\/8kZ5vnc5sJ2N05BfHRK3eF+v2ttW3bqXqja3zH9oRemd7e4\/943Y3\/sb5y5WnAXZ+35ipch6qnj97\/PDbb\/clvQvx7KnVS762fnI8cX3tyMsnTxyxPvTps+d73Qu1nj61+stf+pdT4+npLx1dP2VH6O+fPuswvr2Y34\/+4NSkZt1LR39w6tS\/WE8ACh8sRLED\/qWXePCyV998\/U3+w\/Gf\/Md4uvvx17f+473X87cefd02KD7frJDfj\/\/Emj5fPqJ49LDpiMT3Pbn7jdXzffytX4wnmh9\/7a1f2FG5lLHbPbr7xWd\/+EPH9F4+9ms\/+8WkZt3x135WLHlXOF2U6Sg0QggZpuldCCFVkCShFEKYMJqpF5747jQCPMaGlbhotO95flgcqBP6nlcaqWOi0mbjDfc+qUZezKae36j5lkm\/yKS6OInVHU94XtVf0fhT8wlIRmymp9P1tzd+M\/slWhv73r6duSsKw9Y3top94ltbWw1bzm5afCfA76Pnj7\/99uHuvsXi5\/aY6bWjxbJzR47aWfz7fMv59kKtwrD1l44eKfSxHz1qJ\/guv8zCLPZKCn\/pyNGWBG\/vu7ZGofk9skrEC3H8R8Vida\/\/6HVry8a4XXB8rOZ4pSMWPzx\/dXvGOfcoevTo\/+Y\/HH+tWCbutddfa9iy9ZBf\/OEPn30xy3z1\/1v4D+v4\/1N8t3hWJPgWWmshhFBBsaddBoGy3u54rCg06dBSuIgAj5SJ0id3+bVsoktpLJVhnGSl3CaV3Kxe7\/EzvHyzdEsh2uaLq3g0GmX13LO6cbXV3ccJvubBYvpNled3E\/3\/7N1PaBt5nv\/\/j0AGi9htKWCnh4TEytxcyj8fJt0L2cFjFvoQBhJPVQ4NQzfkOs2yl56bSrfuy9Jkrg3TLPQhVe00NDk0fPGY+QV2Jntw0onKt42ckGYTByIndrDBdut3qJJUn6qSVPpjSx\/5+TiNpapPfaSauP2qz+fz\/ng5WtNrHS6a7gwjo8EYfjvCX1G9H9UPX7SK7q\/RuN9erXHbdnwdb37w8JIDfDA2Sy90k+Bbx3dpKsD74sWP33zx71VffPHNj92O\/x9hydGMNOLdNilgJ4N7vyX9+c+X2js7C5GkxB2KzUn\/FnJ7ez0uMSc36M\/zI2Jv8\/X6z1Xr6683G1fFQyQplqeDu4ulM74XouN2QHp67prr008\/vdZizn3oeiKwhH760iWKlLdNys4Twe9YeuFNnHsakj7z29\/3dNJ7Z904EpzVVSEiQ7f30upq3D8Y3YrMusW+SqoiwEM4ju3uRS6EZuar\/5Zr83SKxXx1kzdNt8IzdbxhaT2f9+0Fp3mhvPti8l6CDz9YdF+oP4f0ddiqdVjLe7Xn2p1aJIv+imp0q\/odad5G8bG\/PbmVWsdFvWhedz1XS\/P83qsAL9XAu\/hR5FJ6qfUXD3\/0J\/YXLx7++M0XX7SstYeg5Oh4ZnKyy63a5KH00KRpKZvXU3tnZyGSPAAf+jJH\/F9mnCF4KfGHZ93LZealBqWe7G6\/fetL7Lu7229fr6+\/jih8hwbkAfhMMC1LCTvmEHxT8oT90PUC8X1ubrrrKx498gB8cOxbfiX2EHzt7DMXfvv738fY\/E16ThCeqy9H9ra7cXQ0mAZa5zirsRoivquPAH+0eKvNZbmc4S6D0czbtbzdYJ5O45k6dtSWcL3Q4IJefq8+h6wNj4c6LPS8qUV0uIH4X1G9h9pMsJF2v73IX6Rex9ubFKW0wyj8\/uLHH31j6x99FF2brnVPXjxsttsdZMnR8czkryYzY93vs95ZvCaU91CvN26TEr\/YfeurW9diO7rWPdndfru+ToaPqRehvI2rPXywVv8pPMGe+N4LBzScnT5z4be\/\/+Pvf3sh3s7t8pODjZ98deu63sRuWPj\/5mxwiDcAH\/6bU9RqNMUagnfje9RwFNRBgIcQmqabVrHoHy5v49dENUPbRq5ap63HSd67gj\/Henm9Po+oOg8gajWPNjPj73AnIr6iupmZwIsd\/JKNPLY6+6Cbng+vztK+VOW+wfB77LZjbHkHIZJjkz2J7h3obDY8c+h7KM4c+tS4v1Cd2N2uzYSP2Pzd12DMLeR230btP4cuxZpD31hgW\/fpS4EJ9v74nr4k17vDAYmZ9tMXfh87unvOXJAK3G88\/fsP\/+WK2PydOfQHqhrfI4ajoBAC\/NHiTWwPKBatvC4XWPfycCiaClHLw7WZOrrlrjR3X7RNt+56L5N8KME739mOiIrrkePnXi29eFOLYn9FTbTz7Xkij0XPSUvbGw2\/BwP8+xc\/+vOfv\/rqq6+++urPgQXz0ng+gI6MjGfe66AAnTwAP5J6b2rq5MmTJ0+enDouN7f7djPulvQ4DGvLcmW60Pi6P96nL83F2bEOAy194V\/b26NODb\/0gtuU\/0\/OA+wx8X1YEODRA1reKlaKlmn6VsG7Sb5HFdgCCd7N70z\/QZvk6fOBIvd+71\/86OLFi++\/\/74Q73\/05z9\/8lF19f37Fz\/685+lDC9tfAegIyPj8n5x\/rdSqQbhPpl6L5VKjYyMCDHy3tTU8fGR2vZzweZC+8+hXzbWlv+67N+ELjy+7t83jvg+LNIX5P3i\/G+daWs4Hx1zZ68S34cBu6Yi0oymCdtx524H\/5k3mCCu6XlNz+eFEI5d+M62TdsRwjFvFP7QfSU7oeu6sG1h27bQ9fD2cfXjrOhi9oerg28v8tih8\/Cbf\/+mQdy9+MlXnzQaD4\/W\/t5u0ubxzfK7eP\/iR4178\/5HH138sf45Xrx4IQTbzA2mULn5AzwLkeLv7TYyPnVydHtzc3N72xtZHxlJjWfGU2Jn3Re\/fQ2OpMb9u84HmxtPva2vn9\/b2xXiqG8zt7b810Zbsk3PfTo33VZjUUXjW9p4+L00c16kp+eC1emJ7+14+vf\/arSC\/Mxv\/9hmdfhQkfoeS1\/4\/R\/PPP3pp5+ePvVmyafTZy7864Uz4ukPT+uf4qC7cWR5m0ZF1IqCevgzBZG0mRkhHHeid\/AferMJ4u7JbpS3jYRhRzfRPl+CF4Ht44QQzTPzoevg24s81lspEPmoYii9\/\/77QhzYovL4+R0DLDmSFO3vKd\/ZWYiUHBkRB7RB20hq\/HhqPPDiNivYD0k6kxZrB7f8OJzeL10L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\" width=\"672\" \/><\/p>\n<\/div>\n<div id=\"figure-6.1-coefficient-plot-model-8\" class=\"section level3\">\n<h3>Figure 6.1 Coefficient Plot (Model 8)<\/h3>\n<pre class=\"r\"><code>negative_model3 <- lmer(log_viewCount ~ neg_prob + abs_nom + durationMin +\n seniority + gender + log_subscriber +\n (1 + neg_prob| channelId ), data = df)\n\nlabel_vector <- c("(Intercept)", "Ideology", "Duration", "Gender (M)", "Subscribers (Log)", "Negativity", "Seniority")\ncoefficients <- as.data.frame(summary(negative_model3)$coefficients)\n\nfigure_6_1 <- ggplot(data = coefficients, aes(x = rownames(coefficients), y = Estimate)) +\n geom_point() + \n geom_errorbar(aes(ymin = Estimate - `Std. Error`, ymax = Estimate + `Std. Error`)) +\n labs(x = "Coefficients", y = "Estimate") + theme_minimal() +\n theme(plot.title = element_text(hjust = 0.5),\n text = element_text(size = 12),\n axis.title.x = element_text(size = 12, margin = margin(t = 10)),\n axis.title.y = element_text(size = 12, margin = margin(r = 10)),\n axis.text = element_text(size = 12, face = "bold"), \n axis.text.x = element_text(angle = 45, hjust = 1),\n panel.grid.minor = element_blank()) + \n scale_x_discrete(labels = label_vector)\nprint(figure_6_1) # Display plot<\/code><\/pre>\n<p><img decoding=\"async\" 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\" width=\"672\" \/><\/p>\n<\/div>\n<div id=\"figure-6.2-histograms-of-random-components\" class=\"section level3\">\n<h3>Figure 6.2 Histograms of Random Components<\/h3>\n<pre class=\"r\"><code>par(mar = c(5, 4, 1, 2) + 0.1) # Adjust the margins\npar(mfrow=c(1,2)) # 1 by 2 \n# Model 4 load in\nnegative_model3 <- lmer(log_viewCount ~ neg_prob + abs_nom + durationMin +\n seniority + gender + log_subscriber +\n (1 + neg_prob| channelId ), data = df)\n# Random components of Model 4\nrandom_components <- ranef(negative_model3)\n# Intercept Histogram\nhist(random_components$channelId[, "(Intercept)"],\n xlab = "Intercept Random Effect",\n main = "Distribution of Random Intercepts",\n breaks = seq(-2, 3, by = 0.5))\n# Slope Histogram\nhist(random_components$channelId[,"neg_prob"], xlab= "Negative Sentiment Random Effect",\n main = "Distribution of Random Slopes",\n breaks = seq(-2, 3, by = 0.5))<\/code><\/pre>\n<p><img decoding=\"async\" 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5zfilm0jOLCQDiweelnJ8WrUs55y89vhoAwB3j9WYiy5N6hM5fcAIJAGLC9+3sluenJ0dHRy9OP5CeABAZQjdUnnWxHtJwHBvhxHqcEBd4Z4RQRSPod1+Ng9swkAbvzLirip6fvv9j8JOC6\/ds9n96EdyGgTR4Z4bnihbf5LE+mXTw9pal2wTXb0QGC\/DODK93pM+\/0CO\/C\/1xuQPxw7AVBNdvRAYL8M4MjxW9KuYwzX++zP776Ogo\/3XYRPrg+o3IYAHemeH3jvSzw4fZZ9BnxRWcy3dDL+UMrt+IDBbgnRl+70j\/cf05tLizcn4zkUEfQYPrNyKDBXhnhv870p9Vd2Uaeju74PqNyGAB3pnh\/4bK2UfQB+3HehJcvxEZLMA7M\/wHaPYDAYrI4BG8M8NngBZnjJb\/cPh36\/327MMoAYrIMDV4Z4bXO9K3zxidDbwjfXD9RmSwAO\/M8FfRy86kpeuh3wsfXL8RGSzAOzP8VTQ\/DT\/7u+qk++p6zmHfKRdcvxEZLMA7MzxW9NuzWf2QZz6xfuBXIgXXb0QGC\/DODJ8VzT5zNgP04OP2hV0E129EBgvwzoy7q+jybwPjkwAF6AXemSFd0eD6jchgAd6ZIV3R4PqNyGAB3pkhXdHg+o3IYAHemSFd0eD6jchgAd6ZIV3R4PqNyGAB3pkhXdHg+o3IYAHemSFd0eD6jchgAd6ZIV3R4PqNyGAB3pkhXdHg+o3IYAHemSFd0eD6jchgAd6ZIV3R4PqNyGAB3pkhXdHg+o3IYAHemSFd0eD6jchgAd6ZIV3R4PqNyMGxvPj99PT0\/cWgO32rgXdmSFc0uH4jclicv5lVPP5gPZzR4J0Z0hUNrt+IHBLXz2ZNDoZ9YYIOeGeGdEWD6zciB8TlIg\/Nw6OCh\/kv81fWgxoH3pkhXdHg+o3I4bD6jq63tQc+Lxrf4RUSeGeGdEWD6zcih8NZJy6\/Df3abRnwzgzpigbXb0QOhvxbt9s77JdDv3dbBbwzQ7qiwfUbkYMh+7jZ2V93PRYEeGeGdEWD6zciBwMBClMgXdHg+o3IwZDtws\/bs5bYhYehSFc0uH4jcjgcd9IyPyz6wGg0+4F3ZkhXNLh+I3I4XC2yBP1Ye+A6y8\/Oh9IwwDszpCsaXL8ROSDOVlPnj346zfmlmEkf5iwmvLNDuqLB9RuRQ+LTonUp5\/yl9ZBGgndmSFc0uH4jclAsT+oROn8R5AmkHLwzQ7qiwfUbkUNjeX56cnR09OL0Q7DpeYN3hkhXNLh+I3LEzLpYD6kE78yQrmhw\/UbkiHEEqEob8c4M6YoG129EDpXl76fvB+\/Ey7QR78yQrmhw\/UbkUBl1FadMG\/HODOmKBtdvRA4VAhRGIV3R4PqNyOHw9aLOeRagH7L\/\/zFkFTJtxDszpCsaXL8RORjyuyc7GPQxVKaNeGeGdEWD6zciBwMBClMgXdHg+o3I4ZBfyDk\/KvnTYjb\/Pvv\/j0NOxcu0Ee\/MkK5ocP1G5IDI7750UN6OiZNIMArpigbXb0QOit+yj51\/Ln4kQGEU0hUNrt+IHBbXz8p7ghKgMArpigbXb0QOjOW\/rG9iR4DCKKQrGly\/ETk4rrIPoY+\/EKAwDumKBtdvRA6P5bvsQ+hbAhRGIV3R4PqNyCGST2j6fkGAwgikKxpcvxE5SPIJTQPn0K+QaSPemSFd0eD6jciB8tuCAIUxSFc0uH4jcqhc\/2XYRUgrZNqId2ZIVzS4fiNyUsi0Ee\/MkK6oUL+dd55wgMgJIdNGvDNDuqIy\/e4bn4icFDJtxDszpCsq0+\/+giJyQsi0Ee\/MkK6oTL8JUHAg00a8M0O6ojL9JkDBgUwb8c4M6YrK9JsABQcybcQ7M6QrKtNvAhQcyLQR78yQrqhMvwlQcCDTRrwzQ7qiMv0mQMGBTBvxzgzpisr0mwAFBzJtxDszpCsq028CFBzItBHvzJCuqEy\/CVBwINNGvDNDuqIy\/SZAwYFMG\/HODOmKyvSbAAUHMm3EOzOkKyrTbwIUHMi0Ee\/MkK6oTL8JUHAg00a8M0O6ojL9JkDBgUwb8c4M6YrK9JsABQcybcQ7M6QrKtNvAhQcyLQR78yQrqhMvwlQcCDTRrwzQ7qiMv0mQMGBTBvxzgzpisr0mwAFBzJtxDszpCsq028CFBzItBHvzJCuqEy\/CVBwINNGvDNDuqIy\/SZAwYFMG\/HODOmKyvSbAAUHMm3EOzOkKyrTbwIUHMi0Ee\/MkK6oTL8JUHAg00a8M0O6ojL9JkDBgUwb8c6Mu6no8vfT938Mf5pMvwlQcCDTRrwzw19Fv16Ukfn52Sxn\/sOXgauQ6TcBCg5k2oh3Znir6Lens+9+zX9YvpuVzF8NW4dMvwlQcCDTRrwzw3+AHufJ+f3R0fM8QoclqEy\/CVBwINNGvDPDe4BeZrFZ7Ltfv56tM7UvMv0mQMGBTBvxzgzvAZp9AH2wfmiZJeiTIeuQ6TcBCg5k2oh3ZvgO0Dw0N\/vt2afR+0NOJMn0mwAFBzJtxDszfAfo5lBo7bHeyPSbAAUHMm3EOzMI0D4QoOBApo14Z8YdHAOd\/1w+drUgQBE5HmTaiHdmeA3QPDkvayeOOAaKyDEh00a8M8NngGbc+\/sP\/7j5CJo\/xFl4RI4GmTbinRmeA7Rgtd++\/G3BPFBEjgmZNuKdGR4rujw\/eb6oAjRP1OpwaC9k+k2AggOZNuKdGb4rukrRMkAPPg57sky\/CVBwINNGvDPj7iq6\/NvA+AxSUEROCJk24p0ZQhWdObAe0xoCFBzItBHvzBCqKAEKYSHTRrwzQ7qiMv0mQMGBTBvxzgyvFV2ePD\/8\/q\/V1Hku5UTkmJBpI96Z4bOivxWTmOYvygglQBE5JmTaiHdmeKzo2eZIZnn9JgGKyDEh00a8M8NfRa+yz58Hby8u3uX\/L2KTAEXkmJBpI96Z4a+iZ+Unz+tnZYISoIgcEzJtxDszvFW0div6\/MdVlhKgiBwTMm3EOzP8fyvnTZGgD24IUESOC5k24p0ZdxKg5Y3sCFBEjgmZNuKdGXcToPkZpfnPBCgiR4VMG\/HOjLs4BppzOZt995EAReSYkGkj3pnh9Sz8g+av3\/0rAYrIESHTRrwzw+880Md\/VL8fV\/dW7otMvwlQcCDTRrwzw\/OVSPW8fEeAInJUyLQR78zwWdFPrW8x\/jT0S5Fk+k2AggOZNuKdGX7vxvT5x8a3GC\/fLQhQRI4GmTbinRnSFZXpNwEKDmTaiHdmSFdUpt8EKDiQaSPemSFdUZl+E6DgQKaNeGeGdEVl+k2AggOZNuKdGdIVlek3AQoOZNqId2ZIV1Sm3wQoOJBpI96ZIV1RmX4ToOBApo14Z4Z0RWX6TYCCA5k24p0Z0hWV6TcBCg5k2oh3ZkhXVKbfBCg4kGkj3pkhXVGZfhOg4ECmjXhnhnRFZfpNgIIDmTbinRnSFZXpNwEKDmTaiHdmSFdUpt8EKDiQaSPemSFdUZl+E6DgQKaNeGeGdEVl+k2AggOZNuKdGdIVlek3AQoOZNqId2ZIV1Sm3wQoOJBpI96ZIV1RmX4ToOBApo14Z4Z0RWX6TYCCA5k24p0Z0hWV6TcBCg5k2oh3ZkhXVKbfBCg4kGkj3pkhXVGZfhOg4ECmjXhnhnRFZfpNgIIDmTbinRnSFZXpNwEKDmTaiHdmSFdUpt8EKDiQaSPemSFdUZl+E6DgQKaNeGeGdEVl+k2AggOZNuKdGdIVlek3AQoOZNqId2ZIV1Sm3wQoOJBpI96ZIV1RmX4ToOBApo14Z4Z0RWX6TYCCA5k24p0Z0hWV6TcBCg5k2oh3ZkhXVKbfBCg4kGkj3pkhXVGZfhOg4ECmjXhnhnRFZfpNgIIDmTbinRnSFZXpNwEKDmTaiHdmSFdUpt8EKDiQaSPemSFdUZl+E6DgQKaNeGeGdEVl+k2AggOZNuKdGdIVlek3AQoOZNqId2ZIV1Sm3wQoOJBpI96ZIV1RmX4ToOBApo14Z4Z0RWX6TYCCA5k24p0Z0hWV6TcBCg5k2oh3ZkhXVKbfBCg4kGkj3pkhXVGZfhOg4ECmjXhnhnRFZfpNgIIDmTbinRnSFZXpNwEKDmTaiHdmSFdUpt8EKDiQaSPemSFdUZl+E6DgQKaNeGeGdEVl+k2AggOZNuKdGdIVlek3AQoOZNqId2ZIV1Sm3wQoOJBpI96ZIV1RmX4ToOBApo14Z4Z0RWX6TYCCA5k24p0Z0hWV6TcBCg5k2oh3ZkhXVKbfBGi0LC9+Pz09fX\/xZcRzZdrY37u+WG9RMEhXSqaPBGicnL+pZcbjD0OfLtNGAtQM6UrJ9JEAjZHrZ63UOPh52Apk2oifZkhXSqaPCBohl4s8NA+PCh7mv8xfDVqDTBvx0wzpSsn0EUHj49vTLDDf1h74nAXqd78OWYVMG\/HTDOlKyfQRQePjrBOXeaQ+GbIKmTbipxnSlZLpI4JGx\/L1bNbeYb+cze4PORsv00b8NEO6UjJ9RNDoyD5udvbXXY\/tQqaN+GmGdKVk+oig0UGA4ucUSFdKpo8IGh3ZLvy8PWuJXXj8HIp0pWT6iKDxcdxJy\/yw6IMhq5BpI36aIV0pmT4iaHxcLbIE\/Vh74DrLz86H0p3ItBE\/zZCulEwfETRCzlZT549+Os35pZhJP2gWE34CAdoLBI2RT4vWpZzzl8NWINNG\/DRDulL++9j75goIGiHLk3qEzl8MvSOTTBvx0wzpSvnuY\/+b0yBopCzPT0+Ojo5enH4YcT87mTbipxnSlfIfoP18GiAegkaL633Vekxr8NMM6UoRoKADAQpdpCtFgMIdcX76\/o\/BT5JpI36aIV0pAhT8UnyTx\/pk0sHbW5ZuI9NG\/DTDe6WUv3OGAE2a6\/wLPfK70B+Xe+Q\/DFuBTBvx0wy\/lRL\/zhkCNGWuijlM858vs\/8+OjrKf2UiPX4Ow2el5L9zhgBNmPz2ybPDh5mVz4orOJfvuJQTP4fisVL63zlDgCZMfkf6j+vPoYWW+c1EuCM9fg7CX6UC+M4ZAjRdNnekP6vuysTt7PBzKP4qFcB3zhCg6bK5eXL2EfRB+7GeyLQRP83wVqkQvnOGAE2XTVhmPxCg+DkWb5UK4SsTCNB0yVwszhgt\/+Hw79bv6tmHUSk\/e4OfZhCg04qHoKFw3D2edMYd6fFzID534eW\/c4YATZjLzqSla7Vj9L3BTzP8VSqA75whQBMmt3H2d5Whq+s5B72\/E6DgMUAD+M4ZAjRlvj1rzBNZTbsbdqWHTBvx0wyPldL\/zhkCNGmyz5zNAD34uH1hFzJtxE8zfFZK\/jtnCFDYsPzbwPgkQMHzzUTUv3OGAIV9kGkjfprhu1LS3zlDgMI+yLQRP80QqtTdf2UCAQr7INNG\/DRDqFIEKISFTBvx0wzpShGgoIxMG\/HTDM8nkZ4ffv\/X6uAnl3IiaEzItBE\/zfBZqd8WrbPvBCiCxoRMG\/HTDN8T6VeUF8gRoAgaEzJtxE8z\/F7KefD24uJd\/v8iNglQBI0JmTbipxle70hffPLMv1vuoLx3LQGKoNEg00b8NOMu7kif\/7jKUgIUQWNCpo34acad3FC5vI8dAYqgMSHTRvw0427uSL\/+OjkCFEFjQqaN+GnGHX2lx9Uiv9ciAYqgMSHTRvw0466+lfNyNvvuIwGKoDEh00b8NMPrWfgHzV+\/+1cCFEEjQqaN+GmG33mgj\/+ofj9ezaknQBE0GmTaiJ9meL4SqZ6X7whQBI0KmTbipxmev9KjkZf5V3wQoAgaDTJtxE8z\/N6N6fOPjfvQL98tCFAEjQaZNuKnGdKVIkBBGZk24qcZ0pUiQEEZmTbipxnSlSJAQRmZNuKnGdKVIkBBGZk24qcZ0pUiQEEZmTbipxnSlSJAQRmZNuKnGdKVIkBBGZk24qcZ0pUiQEEZmTbipxnSlSJAQRmZNuKnGdKVIkBBGZk24qcZ0pUiQEEZmTbipxnSlSJAQRmZNuKnGdKVIkBBGZk24qcZ0pUiQEEZmTbipxnSlSJAQRmZNuKnGdKVIkBBGZk24qcZ0pUiQEEZmTbipxnSlSJAQRmZNuKnGdKVIkBBGZk24qcZ3Uot3xsMww0BCh0S8rM3+GlGt1Lfns4efTAYiQMCFDok5Gdv8NMMZ4BmPFZwlACFDgn52Rv8NMNRqc\/PckNn88cf7344TQhQ6JKOn73BTzOclVqePCwcffHHHQ+nCQEKLlLxszf4aca2SpWO3nvx5S6H04QAhS0k4Wdv8NOMHZX6erJYOXrw1spRAhS2E7+fvcFPM3ZXau3o3OhtngCFnUTuZ2\/w04ydlfr8ZrZm\/vNdDagOAQq7iN3P3uCnGdsr9fn5egfp\/I2VoQQobCUBP3uDn2ZsqdT6vX29b7R8PZs9uMtRrSFAwU0afvYGP81wVep8vWdUTbS7Wsy++\/UOR7WGAAUHyfjZG\/w0Y9uVSNmuUfOxGAUlQAMkIT97g59muAO0fVoze+y+wYlOAhQ6JORnb\/DTDFeAOq6Ru7iLsXQgQKFDQn72Bj\/NkKDRc08AACAASURBVK4UAQrKyLQRP82QrhQBCsrItBE\/zdhSqeX\/zQ8pffuvfzW80pgAhW2k4Wdv8NMMZ6WunxcnNb89nc3\/fMcDqkOAgotU\/OwNfprhqtTlYrYRdDZ7ctdDqiBAwUEyfvYGP81wVOoq83P+w2rf6Os7q8uMVxCg0CUdP3uDn2Y4KnU8q02qO7a5SK6AAIUu6fjZG\/w0w\/GtnK\/rb+rZ273FFOUCAhQ6JORnb\/DTDOeVSLXL4owukisgQKFDQn72Bj\/NIECnFQ9BfZOQn73BTzOcu\/CzV5vfLmcR7yIRoAGSkJ+9wU8zHJU6q53ZzM942s0TIUChSzp+9gY\/zXBUajW77vHbi4uL3\/MbL9q9wROg4CAdP3uDn2a4KnW1mFUYTrMjQMFFMn72Bj\/NcF\/Kufmyrtljy4uNCVBwkYqfvcFPM7bdTOT3vxwdHf1o9o3bBQQouEnDz97gpxnSlSJAQRmZNuKnGdKVIkBBGZk24qcZ0pUiQEEZmTbipxnuSq2OMJX8GO1EZQI0UBLxszf4acat05hmEV8qR4AGSTJ+9gY\/zdhyP9A0BCVAQyQdP3uDn2a4L+WcPfrpYsMfdz+qNQQodEnHz97gpxnum4nY3aO2AQEKHRLyszf4aYbzdnaWl8fVIUChQ0J+9gY\/zbjtfqCmEKDQISE\/e4OfZjh34VMRlAANkIT87A1+muE+ifSq+6gFBCh0ScfP3uCnGe77gYq8xROg0CUdP3uDn2ZsmUg\/f3Fx50PpQoCCg2T87A1+muE8iZTKRGUCNEAS8rM3+GkGATqteAjqm4T87A1+muEI0OeHTR5FKygBGiAJ+dkb\/DRDulIEKCgj00b8NEO6UgQoKCPTRvw0Q7pSBCgoI9NG\/DRjW6W+np6+\/3KztLvTTQ4BCltIws\/e4KcZ7kp9elic3fz29ODjHQ+oDgEKThLxszf4aYazUu\/K6SHGd74hQMFFKn72Bj\/NcFUqv2PtwX9bZILm9168b\/fd2wQoOEjGz97gpxlbvtLjZfbmnk9Qzg21u3MDAQpd0vGzN\/hphqNSx6s7fheC3lxa3v6bAIUu6fjZG\/w0w3k\/0Py40lrQ7O3ebh+JAIUOCfnZG\/w0Y+sd6deCmt47jACFDgn52Rv8NONuAnT5++n7EVP2CFDoQIB2wU8z\/O3Cf9183+znZ6tpJ\/Mfhq6IAIUO7MJ3wU8z3CeRnmwEPRt7kH7z0WD5bnPjsfnAE6YEKHSZxs8pkGkjfprhqNTleo5yLmj288hpIpsAPc6T8\/ujo+ezwesiQKHLNH5OgUwb8dMMR6XyuXXzt7mgy3+ZjZ6oXAZornix7379eujNbwlQ6DKNn1Mg00b8NMNVqcY9v8deKlcG6HG1j5Wb\/2TQ4AhQ6DKJn1Mg00b8NMNZqTzp1oy+WcM6QBuXilwO\/LxAgIKLKfycApk24qcZWyp1\/Sa\/38388YfRK97MNqnttg+dc0KAgpv9\/ZwCmTbipxneKkWAImjsyLQRP83wHaA3x7WjVFcLAhRB40GmjfhphtcAzZPzsnbiiGOgCBoTMm3ETzMcVyL95ajJj6PmiRSnSu\/9\/Yd\/3HwEzR\/iLDyC7sdEfk6BTBvx0wzntfBNxl1rXF\/Nag3L3xbMA0XQvZnIzymQaSN+muEtQLPEPD95vqjWkK934KQ9AhQ6EKBd8NMMR6W+XpT88mY2f3mx1zcfrlK0DNChk\/YIUOgyqZ97IdNG\/DTjlkpdLWYvJ3ql5d8Gz3kmQGE3E\/o5Apk24qcZt1Xq7O6ulZs58P2K\/XwiQGW5Qz+7yLQRP824rVLZW\/xd3S6MAIXB3KGfXWTaiJ9m3FapqO\/4TYAGT9R+9gY\/zejxCTReQQnQ4Inaz97gpxm3HwON+CsTCNDgidrP3uCnGTsrtbzI71gb7zEmAjRsYvezN\/hpxu0T6SM+y0mABkhCfvYGP824NUDnI+fZdS4YGXHZCAEKHSbys2R58fvp6en7izHHAWTaiJ9mOAL0+WHFoxdjr\/MgQBHUCxP5ueL8TU3N4Xdnlmkjfprhr1LXzwhQBFWmY+jBwKMBMm3ETzM8Vmrwd8h1IEDBH5erO90crm+K93B1PEDra7d7g59m+KxU4wvlxkCAgjdWdwd7W3vgs9ztFnuDn2Z4rdS+l4kQoOCNs05cyt3wuzf4aYbjjvT5Wcku78ecprzcbyeeAIUOE\/np2j1S+8qZ3uCnGT1uqDzi7E9JZuk+H0EJUOgwkZ+uvSO1b43tDX6a4TdAb66Ojv55j8ERoNCGAO2Cn2Y4d+FPFrPZ9z+dnv5T9v\/H++zC7zs4AhTaTORntnPUuYaJXXj8HIqrUpeL2Q9rj85msx\/udDwNCFBwMI2fx520zA+LDrqwXqaN+GmGo1KNe9Qe7zkTaS8IUOgykZ\/Zamb3698yc\/166IX1Mm3ETzMclTqua5RpFu\/twgjQEJnKz7PV1Pmjn1ZHAH4pZtIPmzMi00b8NMN5Eql2JD3qO34ToAEynZ+fFq0TUUNvTCLTRvw0gwCdVjwE9c2Efi5P6hE6fzH0o6xMG\/HTDMdZ+MYM46EnJieFAIUO0\/q5PD89OTo6enH6YcRaZNqIn2Y4KlW\/xu166NVtk0KAQhcrP12zT+\/opW8DP81wn4Vf32VhmR8lsvsASoCCAys\/CVDo4pwHWshxWFzh8dGxxB1BgIKDZPzsDX6a4azU5+rY+n1DPwlQcDKVn8uT54ff\/7X6BMulnPg5lC2V+vyn3NF7jy3jkwCFbUzi52+L1tl3AhQ\/hyJdKQIU\/HFWfYxdJygBip9Dka4UAQreyM9FHby9uHiX\/7+ITQIUP4eyrVJfV\/e3We71nYd7Q4DCFvb386z85Jl\/t1yRoAQofg7FXalPD4s7LH57esBJpEHiIehdMIGftfn4+Y+rLCVA8XMozkq9K29Rmxk17P4000KAgosp\/KyHZXkfOwIUP4fiqlR+dP3gvy0ylzbvzTYQoOBgEj8bYbn+OjkCFD+HsuVKpJeZTLlLe38z8V4QoNBlGj+bYZmtM\/soS4Di51Cc9wPN92cKQfOrPgbdpHtSCFDoMo2frei9zK9pIkDxcyjOuzHlx5XWgnJD5WHiIahvpvLzrBm9+S1K\/pUAxc+BbL0f6FpQ7gc6TDwE9c1UfuZHAh7XpkEdD\/9yT5k24qcZBOi04iGobybz86yVl+8IUPwcDLvw04qHoL6Zzs9Pi2Ze5jfHI0DxcxDuk0hPNoKecRJpkHgI6p3p\/Fx+\/rERvst3CwIUPwfhqNTleo5y7lJ+60WmMRGgSqTjZ2\/w0wxHpfIJHvO3uaDLf5kxkX6YeAjqnXT87A1+muGqVH5dRvVdhVzKSYBqkYyfvcFPM5yVyt\/j13AzkWHi9V2uL34LECip+NkbAtSMLZW6fpPf72b++MPdjqYFAYrIbtLwszcEqBnSlYo4QPsu57cAsBcy7cE7MxyVenfw9u7H4YQAReQu6fjZG7wzY+tEegUIUETukJCfvcE7M7ZeyqkAAYrIHRLyszd4Z4bzE2gqghKgAZKQn73BOzMclTK9erMBAYrIXdLxszd4Z4arUp8Ws4OfLu58KF0IUER2kIyfvcE7Mxy78H85+lNjKiK3syNAhUjIz97gnRnOk0izRAQlQAMkIT97g3dmOAL0+WGTR9EKSoAGSEJ+9gbvzJCuFAEq3Z7kkWkP3pkhXSkCVLo9ySPTHrwzQ7pSBKh0e5JHpj14Z4Z0pQhQ6fYkj0x78M6MeqWELpIrIEARuUZyfvYG78zYEqBfL\/5wLn63EKCIXCM5P3uDd2a4A1TkvZ4AReQayfnZG7wzgwCdVrypl\/NbgLBIzs\/e4J0ZBOi04k29nN8ChEVyfvYG78wgQKcVb+rl\/BYgLJLzszd4ZwYBOq14Uy\/ntwBhkZyfvcE7MwjQacWbejm\/BQiL5PzsDd6ZQYBOK97Uy\/ktQFgk52dv8M4MAnRa8aZezm8BwiI5P3uDd2YQoNOKN\/VyfgsQFsn52Ru8M4MAnVa8qZfzW4CwSM7P3uCdGa0Anf90mvPLovwp4\/0Xs8ERoH4LEBbJ+dkbvDOjFaAu4v3KBAI0KJLzszd4ZwYBOq14Uy\/ntwBhkZyfvcE7M+qVWv5+6iLeXSQCNCiS87M3eGeGdKUIUOn2JI9Me\/DODOlKEaDS7UkemfbgnRnSlSJApduTPDLtwTszpCtFgEq3J3lk2oN3ZkhXigCVbk\/yyLQH78yQrhQBKt2e5JFpD96ZIV0pAlS6Pckj0x68M0O6UgSodHuSR6Y9eGeGdKUIUOn2JI9Me\/DODOlKEaDS7UkemfbgnRnSlSJApduTPDLtwTszpCtFgEq3J3lk2oN3ZkhXigCVbk\/yyLQH78yQrhQBKt2e5JFpD96ZIV0pAlS6Pckj0x68M0O6UgSodHuSR6Y9eGeGdKUIUOn2JI9Me\/DODOlKEaDS7UkemfbgnRnSlSJApduTPDLtwTszvFdqeZF\/k837izFfXEOAIrIyMu3BOzP8Vur8Te3bEx9\/GPp0AhSRlZFpD96Z4bNS189aX0B78POwFRCgiKyMTHvwzgyPlbpc5KF5eFTwMP9l\/mrQGghQRFZGpj14Z4a\/Sn17mgXm29oDn7NA\/e7XIasgQBFZGZn24J0Z\/ip11onLPFKfDFkFAYrIysi0B+\/M8Fap5evZrL3Dfjmb3R9yNp4ARWRlZNqDd2Z4q1T2cbOzv+56bBcEKCIrI9MevDODAJ1WvKmX81sA2AuZ9uCdGT534eftWUvswg9ezm8BYC9k2oN3Zvir1HEnLfPDog+GrIIARWRlZNqDd2b4q9TVIkvQj7UHrrP87Hwo3QkBisjKyLQH78zwWKmz1dT5o59Oc34pZtIPmsVEgCKyNDLtwTszfFbq06J1Kef85bAVEKCIrIxMe\/DODK+VWp7UI3T+YugdmQhQRFZGpj14Z4bvSi3PT0+Ojo5enH4YcT87AhSRlZFpD96ZIVSpmQPfr9jPJwIUXMi0B+\/MEKoUAepYzm8BYC9k2oN3ZkhXigCVbk\/yyLQH78yQrhQBKt2e5JFpD96ZIV0pAlS6Pckj0x68M0O6UgSodHuSR6Y9eGeGdKUIUOn2JI9Me\/DODJ+3s3PB7eyGLee3ALAXMu3BOzMI0GnFm3o5vwWAvZBpD96Z4a9SnS81JkBHLOe3ALAXMu3BOzM8Viq\/\/eewuy+1IUARWRmZ9uCdGT4r5fpeuUEQoIisjEx78M4Mr5Ua+h1IbQhQRFZGpj14Z4bfSl3utxNPgCKyMjLtwTsz\/FYq24nf5yMoAYrIysi0B+\/M8Fypq6Ojfx7\/bAIUkZWRaQ\/emSFdKQJUuj3JI9MevDNDulIEqHR7kkemPXhnhnSlCFDp9iSPTHvwzgzpShGg0u1JHpn24J0Z0pUiQKXbkzwy7cE7M6QrRYBKtyd5ZNqDd2ZIV4oAlW5P8si0B+\/MkK4UASrdnuSRaQ\/emSFdKQJUuj3JI9MevDNDulIEqHR7kkemPXhnhnSlCFDp9iSPTHvwzgzpShGg0u1JHpn24J0Z0pUiQKXbkzwy7cE7M6QrRYBKtyd5ZNqDd2ZIV4oAlW5P8si0B+\/MkK4UASrdnuSRaQ\/emSFdKQJUuj3JI9MevDNDulIEqHR7kkemPXhnhnSlCFDp9iSPTHvwzgzpShGg0u1JHpn24J0Z0pUiQKXbkzwy7cE7M6QrRYBKtyd5ZNqDd2ZIV4oAlW5P8si0B+\/MkK4UASrdnuSRaQ\/emSFdKQJUuj3JI9MevDNDulIEqHR7kkemPXhnhnSlCFDp9iSPTHvwzgzpShGg0u1JHpn24J0Z0pUiQKXbkzwy7cE7M6QrRYBKtyd5ZNqDd2ZIV4oAlW5P8si0B+\/MkK4UASrdnuSRaQ\/emSFdKQJUuj3JI9MevDNDulIEqHR7kkemPXhnhnSlCFDp9iSPTHvwzgzpShGg0u2JguXF76enp+8vvox4rkx78M4M6UoRoNLtCZ\/zN7OKxx+GPl2mPXhnhnSlCFDp9oTO9bNZk4Ofh61Apj14Z4Z0pQhQ6fYEzuUiD83Do4KH+S\/zV4PWINMevDNDulIEqHR7wubb0yww39Ye+JwF6ne\/DlmFTHvwzgzpShGg0u0Jm7NOXOaR+mTIKmTag3dmSFeKAJVuT9AsX89m7R32y9ns\/pCz8TLtwTszpCtFgEq3J2iyj5ud\/XXXY7uQaQ\/emSFdKQJUuj1BQ4Di3RRIV4oAlW5P0GS78PP2rCV24fFuKNKVIkCl2xM2x520zA+LPhiyCpn24J0Z0pUiQKXbEzZXiyxBP9YeuM7ys\/OhdCcy7cE7M6QrRYBKtydwzlZT549+Os35pZhJP2gWEwEKBOjE4k29nN8CpM2nRetSzvnLYSuQaQ\/emSFdKQJUuj3BszypR+j8xdA7Msm0B+\/MkK4UASrdnhhYnp+eHB0dvTj9MOJ+djLtwTszpCtFgEq3JzFmDqzHtAbvzJCuFAEq3Z7EIEChi3SlCFDp9iSPTHvwzgzpShGg0u1JHpn24J0Z0pUiQKXbkzwy7cE7M6QrRYBKtyd5ZNqDd2ZIV4oAlW5P8si0B+\/MkK4UASrdnqDJbz\/vgNvZ4d0gpCtFgEq3J2gIULybAulKEaDS7QmbzpcaE6B4NxzpShGg0u0JnPz2n8PuvtRGpj14Z4Z0pQhQ6faEjut75QYh0x68M0O6UgSodHuCZ+h3ILWRaQ\/emSFdKQJUuj3hc7nfTrxMe\/DODOlKEaDS7QmfbCd+n4+gMu3BOzOkK0WASrcnAq6Ojv55\/LNl2oN3ZkhXigCVbk\/y+G+Pc66qC7wzQrpSBKh0e5LHv58EqDrSlSJApduTPBH76XfDIkK6UhEL2nc5vwWAvYjYT78bFhHSlYpY0L7L+S0A7EXEfvrdsIiQrlTEgvZdzm8BYC8i9tPvhkWEdKUiFrTvcn4LAHsRsZ9+NywipCsVsaB9l\/NbANiLiP30u2ERIV2piAXtu5zfAsBeROyn3w2LCOlKRSxo3+X8FgD2ImI\/\/W5YREhXKmJB+y7ntwCwFxH76XfDIkK6UhEL2nc5vwWAvYjYT78bFhHSlYpY0L7L+S0A7EXEfvrdsIiQrlTEgvZdzm8BYC8i9tPvhkWEdKUiFrTvcn4LAHsRsZ9+NywipCsVsaB9l\/NbANiLiP30u2ERIV2piAXtu5zfAsBeROyn3w2LCOlKRSxo3+X8FgD2ImI\/\/W5YREhXKmJB+y7ntwCwFxH76XfDIkK6UhEL2nc5vwWAvYjYT78bFhHSlYpY0L7L+S0A7EXEfvrdsIiQrlTEgvZdzm8BYC8i9tPvhkXE3VRq+fvp+z+GPy1iQfsu57cAsBcR++l3wyLCX6W+XpSR+fnZ6osD5z98GbiKiAXtu5zfAsBeROyn3w2LCG+V+vZ09t2v+Q\/Ld5vvXp2\/GraOiAXtu5zfAsBeROyn3w2LCP8Bepwn5\/dHR8\/zCB2WoBEL2nc5vwWAvYjYT78bFhHeA\/Qyi81i3\/369WydqX2JWNC+y\/ktAOxFxH763bCI8B6g2QfQB+uHllmCPhmyjogF7buc3wLAXkTsp98NiwjfAZqH5ma\/Pfs0en\/IiaSIBe27nN8CwF5E7KffDYsI3wG6ORRae2zbUBz4Gl35imaC9l3ObwFgLyL20++GRQQBaiNo3+X8FgD2ImI\/\/W5YRNzBMdD5z+VjV4thZ5EiFrTvcn4LAHsRsZ9+NywivAZonpyXtRNHHAMdvJzfAsBeROyn3w2LCJ8BmnHv7z\/84+YjaP4QZ+GHLee3ALAXEfvpd8MiwnOAFqz225e\/LZgHOng5vwWAvYjYT78bFhEeK7U8P3m+qAI0T9TqcGgvIha073J+CwB7EbGffjcsInxXapWiZYAefBz25IgF7buc3wLAXkTsp98Ni4i7q9TybwPjM2pB+y7ntwCwFxH76XfDIkK6UhEL2nc5vwWAvYjYT78bFhHSlYpY0L7L+S0A7EXEfvrdsIiQrlTEgvZdzm8BYC8i9tPvhkWEdKUiFrTvcn4LAHsRsZ9+NywipCsVsaB9l\/NbANiLiP30u2ERIV2piAXtu5zfAsBeROyn3w2LCOlKRSxo3+X8FgD2ImI\/\/W5YREhXKmJB+y7ntwCwFxH76XfDIkK6UhEL2nc5vwWAvYjYT78bFhHSlYpY0L7L+S0A7EXEfvbFbwECQLoCEQvadzm\/BYC9iNhPArQn0hWIWNC+y\/ktAOwFfuKndAUQVLo9yYOf+CldAQSVbk\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\" width=\"672\" \/><\/p>\n<\/div>\n<div id=\"figure-6.3-random-components-for-each-senator\" class=\"section level3\">\n<h3>Figure 6.3 Random Components for Each Senator<\/h3>\n<pre class=\"r\"><code>negative_model3 <- lmer(log_viewCount ~ neg_prob + abs_nom + durationMin +\n seniority + gender + log_subscriber +\n (1 + neg_prob| channelId ), data = df)\nrandom_components <- ranef(negative_model3)\n\npar(mar = c(5, 4, 1, 2) + 0.1) # Adjust the margins\n\npar(mfrow=c(1,1)) # 1 histogram\n\nplot(random_components$channelId[, "(Intercept)"],\n random_components$channelId[, "neg_prob"],\n xlab = "Intercept",\n ylab = "Negative Slope",\n xlim = range(random_components$channelId[, "(Intercept)"]),\n ylim = range(random_components$channelId[, "neg_prob"]),\n pch = 16, \n col = "black", \n cex = 1.2,\n grid() \n)<\/code><\/pre>\n<p><img decoding=\"async\" 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WU\/P8LIIqBnaK1KorKdneFkEFAA8EVAA8JQuoN8nk7dfZ9M\/Y9+eEwIKIJ5UAf348+ITiH88PHkf+xYdEFAA8SQK6OvVR7j\/eFiMXsW+yfYIKIB40gT0oqznyd9Py4BWH0x8+2vs22zNckC1j0aGynp6hpeVJKDfToviabnzWX0cXPBHuwchoFZlPT3Dy0oS0LOiuDNbBrT6YOI7sW+zNQJqldr08+ekYl2Z2vBRaQ+fIqDlTmf1vOcyoOXuaH+P4S0HFDqKlb4XBD1LEdAfD+ef5b4M6PJv\/WCNRwRFQUExR0BhjfkwFQUFxQIP4WGL\/TIVBQXFUqqDSA\/WAb3gIBL2EygTAcVakoBeLV9DXwW0\/DMvY2qkfTQy1HJ6gTQV28KvMuu7Xnv4JAGtXvs5elkFdPqvghfS76G9IoVaTK+wc0dA49IePs07kX48rK1vvJWzmfaKFIqA5kp7+ETvha\/2QZc4mQj26aBN8UksJBJJdjq76xfV+ZhG99\/Fvj0nrO2mSbRJYiGRCCdUhh0abVJYRiRCQGEHAYWYdAGdfplMJpexb80Rq7tpGgFVeK0VEkkV0E+PluvbvT6PIZkOqPbRyFA6R+Fn8V\/tn\/Vdrz18moDWDsLP35TUG7vbpPqKFEoqoLHfb5r1Xa89fJqAnpWr2uiXf0z+93\/2XFDD26T4ihRK551IC1EXMOu7Xnv4VG\/lLH5dvP1o+rrXV9Lb3igh8V54YC3hGemb\/pIaW6V59BNCEp0PtLbTyensHGVXk+wGhq6EJ1Ru\/FtiehsmO2SAXYlOqExAPfGUIGBYkudAL+qnAOVTOfdoOhopc1A6mPax2EAMLytJQH88Km6tXj9\/c3c0NcsValiRVF4WGYH2ZhSI4WUleiH9i2L0dP6n60ecD3QPApothpeV5CDS47t3q+3\/p8XF6O7CvR52RLUiVGzre4EA3JDoKHyTPh7JazWIgAK2EVDDCChgG+cDNYyAArYRUMMIqAX85rEfATWDo\/AWJfnlWx0+Ce3h0wX0+6T09s\/YN+fGcoQIqEFpfvtGh09De\/hUAf3483I1XL4etCeWI8Q7kexJ9Pu3OXwi2sMnCujr2nr4a2\/nYrId0Ea59NOmjB4BwE+agF5Uu573J5M3L06LPt8KrxdQzsbUJwKKI5IE9NspZ6T3x7bbl2Jb3wsEczgjPbAHAcUxic4HyhnpoYeA4hjVM9JPP3u9JMryNqB9NDLUenpDpUoW0Kzveu3hlQL6\/XKVzE+P5uvzyPmAvpVNs4n2ihRq+2ONe16cOQKagvbwQg\/h1+Wdbl4UNXp27Ke2Fs7EhtlMe0UKtZje2MPlVI\/gs77rtYcXOoi0DuhZVc5fxuPH1UrtVlAb2yX2sPaEI0+B4ogkAb0qV77VG5A+OkdvZRXQ6toWj92vn7ueFI+NwDJ7vbK2PLAmzQvpq33Gk98uLy\/fVE9e3vG74lVAa7uw07KgD5wWjq3AMHsBtfacAqxJ9JlIz2srou+LmJYBra5rvQt75Xh1bAaGFdv6XqCKqYWBOYneC7857uN+5HxlGdAbR\/FdD+mzHRhmMqCmXlcFc9Kdzu7z38bj8X+99b\/ioQdU+2hkqHJ6owFNIOu7Xnt4oRMqb54D3bwo6tspAR0GApor7eHFAvpqNn\/ec33gaEjPgWqvSKEIaK60h9cKaOmnv7z763oXtPoSR+EHI9d+Qle3AY36gcb1K5tfw\/SPU14H2o1+AkZAoUYooGUxv5w\/Pt1cQ3XtjucWNbhVGmxFbwmjnxDTcUAf321yL+RsTPOKrgJ68t5x4axtlhZz0WPE6Ce0CD0HumP6b8d82guoxWD0uhto79cBHKAcUA\/GNswbrTJyNLKnJyItng80GSN3fT+0hyegPdpqlY0Vqe+A5ojhZSUN6Je\/jZ84P+qOioAeU2xLtE+ovRkFYnhZ3Qd0+npxyGd2vTiN\/P0ePxbeVkAbWtW\/nYUytXSALZ0H9Oq09qKjuZPwT0RaO\/xe+KYMrP5\/Z+CyMVF9L9f+gBa9LheXXFq87Dqg1UfCr0\/jefLy8vw06qcaewf0g4HLpkL1vlwHAmpi+bjk0tJlxwGtTt65eK3m6rQf5aXji98PkT4bU\/MuXuTrD16oDhcQUNdxQK\/Wbzu6WL1r\/czx7euHbT6psxVTDei2T77XKhVQm0uFfHQc0HUtN5\/M6XoCpahsbW1befrQ0XUHLVSqgn7wmN5u2B35DD8Y2sN3G9BNNjePtV1P4RmVrW2tw4AGZE8moJZ3jd1oNySQ9vCdn0xkk80721\/rgbFN7WY\/I65IQd0TCWiiBUtBuyGBtIdPFdD1U6DhAZ1efp5MJm8vfZ4HsLaldZSAwO71EVBndpcMGUkV0M3ncIQ9hP\/yorbR3H\/nvHDWNrRuAhAcvuUPEVDgoETPgdZ2O0MOIi3fzLRx8spx4extaB1s\/vH2HO1WynLbl4wuFmLq\/ij8\/DPcN0+BVl+6M\/NzNT+b8t3xws\/VX0bPjv9YfeGyWKEJqAFmFwwxdf860Pnu5iqki7cmuUVvbX4G+pe1L3ziIz0axQuo3SM11gNqd8kQU8cBrZp38u7y9Tp01w\/9H8Ff7ORyUB8qF+9oZMSAJguB6\/TGA+q2aNoHogNpD9\/1e+GvVitRtdc5\/VQdAvJ9J2f1ttDtfVc+1rhJ1LgkKtSwAuq4bNoNCaQ9fJKzMZXR\/O\/qz\/MTMjk+a7nR9Pon6ffCb\/FdkRo20bhxSdIn5+kt95OAOtAePsH5QD+Nx08Wb1ivAnrP+4zKQw+on8aN1HRcIrE8o+3dY0SU9Iz00\/81CXgX\/OZ9oRtDegjvZc9GmsPWa3hGApoNpc9EOtupZfW06B2Xqxjaqrx3K81h47U7IwHNhlJAq1dA3a4\/A3D93PWQ1MBW5QObaQ7brtkZCWg2lAJavY6pLOb4t0nlzeKV9G7nFh3YqnxwM81hyzU6IwHNhlRAZx9Pt1bM0VO3K7C8Kgeej0h8O9U+FrvN8X4Z1vCOtIfXCuhsel5P6OiJ6zEpy40hoIPher8ManhX2sOLBbQ0\/TI5H4\/HTybvPI7oW24MAR2Ko3fL9leHNLwz7eH1AhpEujE7hhTQATl2r3B3DQgBFUZALWrdT+6vASCgymT7Kba4Ttr3c7C\/gowQUGWiAZVbYBdHHhaI3mXYg4BKk9wY2yyy1EA3ENCspAvo98nk7dfZ9M\/Yt+fE8hrrdTRScFtsDsiN6eVmqjkc0OZ\/1T4QHUh7+FQB\/Vi9bejW77MfD0+8T8cUgeVN0m9FkmvNnrzUpxf8v8IGAXWkPXyigL6eryzzgHqfUDkGy1tkxPOBWnY8oPvzo4CAOtIePk1Aqzexn\/z9tAxodf4k7w\/lDCe4QQ7M4b40fEcPyxjm4PIfHx9SkgS0Oo3S03Lnszr3cdMHc6TDCts3Aio+Hm5IEtDFJxkvAlqdA\/lO7NtsjRW2b0cLop8Yl\/H6WD5ElCKgy1PJLwNa7o729xieNTaBg2XIIKAHD4LJD4cbUgR0+cFFy4C6foxRVKyxnTvShhwCevB3oD4bbiCgZmgfjVw5XIedOu4ehR9CQA\/uhR8aPkfaw\/MQ3gztFWnpcPp2+9lVQC2nd3eyQdz1vrSHT3UQ6cE6oBccRGqmvSItHG7fgX7Wpo\/QT+t7r9vLNoS73pv28EkCerV8DX0V0PLPvIxpaNZBOBi\/Q\/3c\/22+i2O6oBiKJAGtXvs5elkFdPqvghfSD82mVocD2a6f298XsDwUFF1L806kHw9rqzRv5RyWhh3Lxny1zOfOdwYuj8dEQFuJ3gtf7YMucTKRYTnUzygBdb3LCCjSSXY6u+sX1fmYRvffxb49J2xPsR3sZx8BbX8zQDBOqGyG5tHIWAHddzYm5wQqBlTzro9Ee\/gkrwP9d39HjbZY3pyCV6Q+ctG+nwR0P+2GBNIePtE7kU5e2mio5c0pcEXqJxgOAT38yJyA5kp7+EQBLd3r99nPBYnNyUtPxXDoZ+unNvMLKGQleQ7006P5mjy63+cB+LnBbk59JcOhn60XMjCB9BPppHoZ0\/nPi4Y+6feh\/FC3p96isRu7QwvRchHDpiGgSCfdUfjv56fzFbrXp0OHuj31F42GWz6wCO2WMHAa+olkkr6M6frFoqH3ORtTXLv7gX3ddLvvd7rSoGVy\/2HAQerXgX55URScD7Sys30HHI3sMaCx9vduTh94lWr91D4QHUh7+MQBnX56TEArDZu4aEAj7e9tTR96lUr5VG9IIO3hkwZ0Xs9ejyRZ2aiaoqMa0Dj7ezvTayUwjHZDAmkPny6g8wfvpV7fDW9kk4wdu34DKhs70cWGIYkCujp8dPIy9s25sbG9xK9dv\/3UxG8L4ZK8F375Aqa+XwQ6I6BY49eFCJK9ldPA25BmRgLaxQNu+umIXxhiSBTQez0\/dF8xsa10EVB2qNywy44okjyEf9v7Q\/cVE5vKnoD2ezamvjuS+FisrYBqH4gOpD08J1ROr5uABjWw\/5Kk3Yw6eRDgT7shgbSHJ6DpdRXQYzfZaom6W4bDCGiutIfvNqA\/Hi4+EH5rbc39nUhpN97jt2QoJYkYCyhkEdAepNx4W9xUhi0hoIij44A+vnvv9+q\/N93LPKAJd\/nahCLDlhBQxMFzoL3oq59NN5dlTDIcGV0goP3oq5+DCmjA0qqODGOSvA7086T+StDP55yNaRb3fKAHb+NYK2wE1H36oOU1MHGN9oHoQNrDJ3onUu2w0c2\/Jdb\/trJf\/BWpqZ+RAxqtP87TB\/XPwv8yarQbEkh7eAJqhs2AHgxMxAK5Th8SwKD\/ZXRBuyGBtIfvOKB\/jEv\/eVqMfhmvPOJlTKm0C+ih3bHDiekxQQEFbPdLAdroOKDfTptW1zuxb7O1vDaV4IAeTkyfCfIPYMtfCtBG1w\/hzxrW1pPedkAJ6PEXgrb4euO1dzVEI\/8CNvYzq7UCMXUd0OlkMnlTPoT\/bbJ2GfsWHWS2qbRNRYt+7v6sZECb+5nXWoGI0h9E6lVmm4p7P+vfcTg0vUaIgMKGHl4H2ifLm0oXRyPd+7n5niOliRwht+l9b9xoP7UPRAfSHp53IpnRyYrUJhQuAS32\/RQBDaDdkEDaw\/cS0EveidSgmxXpeCb25eRIbHoNqO8TsDb7Kd6QQNrDJwro9M36daB3fw58RnR6+Xkymbz1qrCBjSW5Y42wEVBHMQPa5XJi4NIE9Ormy0EDAvrlRe167r9zXji2lh2OAd1X0D6X2u+n6CeCJQno9svp7\/s+hL9+tLXyn7xyXDg2lx1tC2kroJ5vgyKfiCpJQC+qaL55WIz+53lZwNEz36te7MjeXT4X8HP1F8crY4PZ5RvQXt+JVL95rx8in4ghycuYnhfFg\/mbkp7NY3rbcwe0+miQUf0D5j+duj4dwCbTYG9UjgS0z\/fCb27f52foJyJJ9EL60at5Oh8sauq5C3qxk8sqqQ+cFs7wNtPb0cj9e2VHAtrn2Zi8Weyn9oHoQNrDJ3wn0tXiLCJXvicTaUrvleP+rKGNZkd\/K1JDH5d\/PNzPmd9OYKN009vrp3hDAmkPnzCg307nsSv\/5vcYvukdoa7vErW01WzrcUXa7mPtb0cCGk3K6Y3lU70hgbSHT\/QcaFW5ZTm93xk\/9ID2aU8\/F39P0U9AUpKj8Gfz50A3HfULaPnz1dXcMKSH8P3afvi+p6DOVwYMWaqXMd2ZrQ7DuzZv42znJ6unRe84LRyb9VEND9nd+sneKrKRJKDVwfIyfWU6b737fw+9z0hfvR7\/9vvaF67Lfu7slB5eODbqoxqf83Td\/aSgyEKit3LOX4BU7S9W3JpXczH\/6fHi5MxvFq+kd3oVEwE9rtgW8vOdLCFgRqKTiXx6NH\/6c\/5OzNFT7+v+uP0RS67XZXmTNnI0MjCgvj9sZPp+MLysxKez+zQeP\/kz4Mqn5\/WEjp64PplKQI8ioOkxvCy9EypPv0zOx2WHJ+88DkUR0KPCAur900am74fB4dM9A2NweAd6AQ1iOaBG9BRQWMLd1xYBxZaYj+D5fUvi\/mst0YfKbentk41ZIY4joLnjDmwv0Xvhd9x\/3\/Cj3WN9aCFk+yGg+rgHHZ4B7iug\/i8G3b7qA+8LbbjZYvWUNZf7L+tbj+vPb299Fubh0umyMaAGlivZZX304+v7LLKmh\/D\/qop5\/7fJ5G+n1YuP3rw49T+t8g3eAf1g73L+JwPLUf\/Fuf\/8zq\/bwjzWL1f3ft\/LMb\/c2WQ6vj1D6\/3i8ub\/\/4+u77PI9ryV8z+WvVycFbn6ivcne9y85sGcjWl5l9hQ2\/fw+cmbey9tmJo+NVPDNwa0Q6aGn7muwClPJrJwNn\/7pfdplbd8v3R6XT4B7Z7fpjeU6b2YGj7zgDoOn+h8oLVnPBfnVV6eXTk1ywFNrqutI9WWh06kDqgxBgN683H24m\/eZwUNk7N13coAACAASURBVNvacECX20eG291w5B1Q1+kJaKZy3UBwVM79NBnQm58GtzihcvkQ3jeg08vqhflvL32eAchtddgr400ERxBQYwG98XnEy08ivvA8iPTlRW22+++cFy6z1WGfrLcRHJHzumEyoFU0l2furM7oWca0unA7FfLc9aOt6U5eOS6c4fUh5dFIewE1diw2LWvDJ101bA1vMqCzq8VZPO\/O\/zt6Ni+qxyP4xdXcHS\/8vLwyp4Wz0Io9glek9iu861qSgK3NKDFzw6dcMYwN77hlJDob07fNruPJ+\/kuqcdbOec7si9rX\/h06tphC6nYJ3BFclnnCagtBodPt1oYG95mQKsnL6s9xp8WT1tO\/\/YPj0NAFzu5XD6h6rBwBlLRDacaGgwoYIPbhiF0PtCbB\/MX+Fz4Jdd7XSKghhcNw+W4LxL95mNf4UrTS0eH9F74EM6POwQCanrhMGAua166gH6fTN5+nU39P1KOgO7n2kOlftpcPAxZ+9UuVUA\/Vs+Azt+BdOJ7KuWbb6lf4CH8nPMepf2AWl8+oJIooK\/n28HiLZzep1I+26ll9bToHaeFM7wtBhyNdH9Ibq5PW9OHFN7MTK0ZOxCdlvbwaQJ6Ua7RJ38\/LQNaJc\/3NEzfqtMw1\/dfr5+7ntne8oaVNKDmHiF7B3T7322N1Y52QwJpD58koFX5npY7n9XTlU3H0tuqOlyMxr\/NP5juzeKV9G7vZ7K8WaUNqLXQ3Jy+9UA732DtfwytaDckkPbwSQJ6Nn+gvQho0KmUP55ubVfLN4i2XzihrcqBT0BNP9RtO9DOd7j\/FnQMcSZ5CU+ovAxo0KmUp+f1hI6euF7RQFdAr35a1jKgO98ytN9DzSCH0pfwfKDLgIaeCXT6ZXI+Ho+fTN55ZHiYq5\/fDqhl7Sba\/Z6h\/R42hjmVPr2ABhnm2peyn2k2Yc+AWv8\/if8yWZ4qa2IP4UMNcuVLmI1k27BHP8vv6jGgLW4uYKls\/38hZ6kOIj1YB9T3VMpRWF73vI9GpstGh7fh8TImQwFtc4MHFuvoXT\/kgHIUfusad790tXwNfRXQ8s9RPhHej+V1z35Au7yR7elb3JadgLa5xUPLdeyu72uuJAjo1jXufql67efoZRXQ6b8K\/xfSR9B23D7WUvMB7fRWdqY\/fktmAtrmJg8uGAGVleadSNV5O9e838oZQbtxxdbTQQT0wM21XJ6Go0hdL2LjcgR8U8tbUFkxc5DovfDVPuiS98lEYnB7j47KitpLP1Mdi2+\/RI1fSaDNjYb98gioWclOZ3c9PyP9yP2DNKNyfJe4yJqqGNAYS9qwPP33s\/lmCehAJQuoDa7nKRJZVZMsccytOMrCNi5O+rsuQUAlV8o8ENDdbxFcV1MscMSAxriSfUuT\/J4joDkjoDvf0dfKGnQ0MsHixvvNNF2L6\/QHFiZxYyIE9PjwA+4nR+G3rrH25+nfxk3+y\/A7kUQDmiIbnfRzdT2O0x9dlnT3Xbs15uD3tBh+sP0koNvXWPvzjZcvbVh+L7xsQLtnKKDHFiXpvdfq9xIaULXX1rVnfr0\/iIDufEdfAbWvk356XdORa0h797UbJ\/yXx+poUMcP4T9PtryoVgLLJxMhoAdE+bVE+A0fuYrU91+722OdGqK0B5Gm8w+X+4\/e+jnYo\/CpxPi1dB7Q9Pdgu1tjnRqgpAH9VJ1O3vo7kQjoQeG\/lAEGtG0bWaMGJ2FAe9\/9nA31nUhaug5ohOv3wNqSp3QB7X\/3c9Zy3J76qX000kFj4ZymNxjQINnc9U20h08VUAu7n7O24\/az6WmvSA7CA3rwUToB1aI9fKKAmtj9nLUft48NT3tFctGUOAKaK+3hkwTUyO7nrItx4S5C4g78uOu1i0QWJqUIqJXdzxkBteF44o5H7cBPt+9nV\/upNDkb3QfUzu7njID2wGMfsVXUjtS3RRnddlTb66TJsKnzgBra\/ZwR0OQaY3IkoG2jtvc7vPoZbdXoosmwquOAmtr9nA0koELb5p6YtO2n75he\/Yz0O+2iyTArwclERk+23xD\/1vB74fvT8mik0sa5LyYN4VpPHyVqXv2M8hv1ukrtA9GBtIfnbExmtFuRlHZv9sdk9+txA9qwm771hcYV0\/fGtm+GgDrQHp6AmtFqRYq9vR+9reAraF7cnS+vpu8iarPdXdLG9TLCbfldpXZDAmkPn\/p0djyED9JJXI7cVPg1HCyoyw\/FWJQ9N9NrQCEr7enseqe+QqfbOlveyqFvOBKo5h\/tpEC7V0hAEQUBVZJu82x3K4e\/wytRXYzYcI0EFFEQUCXJNs92N3PkO7wa1WdA49+U+PqGowioElsBPfYtjZFyLajTEre6xv0FbXtbHSw+RBFQM9w+27bT7bPV7Rz\/FpeChr2MyWVB9wa03U21XRKX69Q+EB1Ie3gCagYBbfgp5+VtPU1Xv0uf69RuSCDt4QmoGU4fDt5pP1vFxet79i91bfqQfjb91J4F6Op36XGd2g0JpD08AZUiFlDPYzWB\/dz+wX3\/2tVvMsldBBsIqJY0G2e0gPoeq3Ea7+ht7P23rn6LJDQbBFRMmi2zRfLadtEroAHL2nAj3d7+0aVKcnvoBwFVk2S7jBjQzo98NQd0f0Ej33yLhUpyi+gFAdWTYqNsEYDWWWz6xogztAho8v3B1r8biCOgZtg6Gnl88w8IaMMP+U+\/J6B7Cup7K0HLdOzbbd31iWkPT0DNMLYiHd\/6Wzdibz9rP9ZxQNPst+9dpCPfb+yuT0t7eAJqhrkVySWMLa6pqZ+bHwyYvl1AUyKgDrSHJ6Dw1zpWe\/sZ4w7RDyhkEVCEaJ2HzTfGb0svAT10GwQ0GwQUaXURl\/T9PHwzBDQbBBRpdRKX1AE9djv0MxcEdDg0ttWOStdXP33PVIVhUA3o9PPk7Z\/uP2Z5XQ48Gqmyte4JaIxjsb30s0VBj16h9oHoQNrDKwX0++UqmZ8ezVfM0a9fHa\/Ccl7CViSZ\/Z0OA5rqfyJt9i+d7g\/thgTSHl4ooD8eLj9Qfvp6vW6Onrldh+W6BK1Ibns8vWrOT6TNKMX8e\/4XsLUELveGdkMCaQ+vGNCzqpy\/jMePq9XTraDW4+KrzT5RDxoXxuiytncooPWviY4HF4IBvSpXy8Vj9+vnxbKpbQ11hfaPUodb+b7FEe\/noYBqDwZ3ggEtd0DvLL80LQv6wOU6BrpeH9onaveD3S5U63+RsP+3neR\/DbK\/t0HSC2gVzfXj9nJv9LbLgaSBrnm+Ae1ycz+0PNL93P\/b9vy\/mN+Nd3LtcKUX0PVTobWvtTbQ9c4zoF1u7kcWSLoB+2ZLENCu+wxHBNSMmOcj8vkp71uPcuVKx2L3zOZ3L1RaD995oHugdM\/v0gvo7KwYvVp97dspAZ1ZDKjzEhnYjDx\/c81f7SSgXd5jvTFwzwcQC+ir2fx5z\/WBoyE9BxqyIkXo56EXhAcvkEBAnX55jYMRUC+93\/NBtAJa+ukv7\/663gWtvsRR+Fl3Ad2XiShXborjojZ9c+czy\/1SMyAX0IX54\/bpH6e8DnTJY7tqsTnu\/mPb2zC6re9dFPdl3f1OApohoYCWxfxy\/vh0E9CqqJunQ1sZ7jrnvlkd3xx3\/7X1rZjc1ltO6r2wXY9s8peaOamAzs0rugroyXu3Hx7wOue8VR3dHHf\/2WHrNbipO40aeAMENBN6Ad2Y\/tsxn4MOqPvxnmNb487m6rL52tvUDyxPrDJ1PDIBtUc5oB4sr3PJj0Ye2Rp3N1enzddxS+98+kMLH61MnlfBUXhZBNSM9CvS4a1xpyqOmXHb0ocRUM93WhJQWQTUjLQr0vFkhAbULSZdT39w4eMF1O+Fs7wTSRYBzVKbYgQH1PtV+F1IFtBuKSxjVsQDOqT3wifUqhcRAmrI4YXXGUxhGXNCQDPUMhYE1CT7S5gTApqftrXYSY5SZrYdqb\/uYOiVeEBrn9TZChvHzGF3a0gBdXjRVh9LB1HqAXVkeetIdTTyyL7Y3m9t+HtEvb6M6ca\/d7wcTbQPRAfSHp6AmmEwoDv7Zd3tp3U\/\/dGZ+9v91G5IIO3hBx3QnVSUVneXvcvFn7q\/neaA7vn+7d+bwO9x7+WNkQ0sz+ay\/I+J5ejlMtV6382lYECnl58nk8nby6\/HF2V\/QD\/ke9kY0P3fv\/iW\/X8XurzRTwPLw6X+pVpAv7yobfn337n+uOWH8Kk074HmIbd50TWtgF4\/2tr2T165XQFbz0zrRY+AaVIBvZqfTfnueOHn6i+jZ8d\/rIZczAgoEI1SQOdnoH9Z+8InPtLDC\/0E4lAK6MVOLgf1oXLLp6VTMNjPhNPbw\/CyhAI6fV4U2w\/Y+VhjP+b6Kb4ZBWJ4WUIBbXrf+5DeC592RbKVT5fprS15BNoNCaQ9PAGFFHv7zsiZUEDLh\/A7H2I8pIfwiWlWyOCzt8iZUEBnZzu1rJ4WveNyFWx2S6IZ4vUDsEUpoN9Oy4LWP8n4uuznzk7pQWx1C6IZ4hWsMEYpoNXrmMpijn+bVN4sXknv9ComArqgmiECCmOkAjr7eLq1CY2eul2B5Y0u3dFIix1qM32xrfvFSkP7QHQg7eG1AjqbntcTOnricgCpYnmbI6DH9BLQFDek3ZBA2sOLBbQ0\/TI5H4\/HTybvXOs5I6BzJnfkjAY0zU1pNySQ9vB6AQ1iIxY9MxnQNtIvuOAvCUkR0PwQUK8b7PrGoEg1oD8e373ndB6mBTaDmXBAUz95q\/prQjqyAXV8D+cSW8GMgFq9OQgioBnSDUOf\/ZT6RSERAmoGL2NqIeVipwuo9oHoQNrDE1Az+jmhspXfSNvpEy42AU1Ce3gCakYvJ1Q28wsxeD5QApqE9vAENE\/W+uml4wF4DhRHEdBcySeh+67RTxxDQKEpQdkIKI5RDagntoKhSJI2+okjCCgUJdo5pJ84jICaoX00MpTj9KkeXafpZ9Z3vfbwBNQM7RUplNv0CQ+Qp9j9zPqu1x6egJqhvSKFMhvQFLK+67WHJ6AQNLCAQhYBhSACChsIKAQRUNhAQGFI6xjST5hAQGGGQw8JKEwgoGZoH40MVU7vFMRB9TPru157eAJqhvaKFOrDB8ckDqifed\/12sMTUDO0V6RQN\/vpVNDuF65rWd\/12sMTUNjg8azmQPIJYQQUJhx6YRKhhFUEFCbsD+iAHqpjcAgoTNgb0CEdLMLgEND8mIzRvoA6PzEKJERAzUh0NNJojfYEdP8To0OifSA6kPbwBNSMNCuS1RrteRkTAR087eEJqBlJViSzOWoO6L4H9gOj3ZBA2sMT0KxYzlGLHVBjSwwQ0KyYzlHDghFQ2EZAc2K8R7uLZXyBkT0CmhPzPdpeKPMLjMwR0Jzo9UhteZEZAmpGgqORhgO6Z3qzyxuV9oHoQNrDE1AzCGgTo4sbl3ZDAmkPT0DNSLEime3n\/ultLm5c2g0JpD08Ac2K3YDup7W0yAsBzYteP2dGz34CzAhodgT7CZhFQHNDP4FoCGh+ZPIps6DIFgE1Q\/toZKjd6TPaVc76rtcenoCaob0ihdqZPqcna7O+67WHJ6BmaK9Iobanl3y5gK+s73rt4QkoLFJ8wSoyREBhEQGFBAIKg4ptfS8Q0IiAwiACCg0EFAYRUGggoGZoH40MdXP6zAKa9V2vPTwBNUN7RQpFQHOlPTwBNUN7RQq1NX1W\/cz7rtceXjCg08vPk8nk7eVXj58d\/KY4FHkFFLLUAvrlRW2zuv\/O9cfZFFXQTyjQCuj1o609k5NXblfAtiiDfkKAVECvTqvN6e544efqL6NnTtfAxqiDfsI+pYD+eFgG82XtC5\/KoN763eUq2BqVkE9YpxTQi51cVkl94HIVlrdH7aORobKenuFlCQV0+rwoth+wXxXFbZej8QTUqqynZ3hZQgEtdzd3Hq83fe0QAmpV1tMzvCwCCgCehAJaPoQfvdr62pAewgNQIxTQ2dlOLaunRe+4XAUBBRCPUkC\/nZYFfV\/7wnXZz52d0oMIKIB4lAJavY6pLOb4t0nlzeKV9E6vYiKgACKSCujs4+nWWzlHT92uwHJAtY9Ghsp6eoaXpRXQ2fS8ntDRE9czMhFQq7KenuFliQW0NP0yOR+Px08m7zzOZ0dArepiepm3gmZ912sPrxfQIBrbE2LgZCToHgHFMHE6PCRAQDFInJAZKRBQDBEfCYIkxAPKe+HRiIAiCQJqhvbRyFBxpy+2xbzy+LK+67WHJ6BmaK9IoQhorrSHFw\/o7Pvlny7fbnlL0l6RQhHQXGkPrx5QR9a3JMQhFlDIIqAYIAKKNAYd0J3NqLR6wMDloC93+mlkubgc2GWuAf3A5aAvtwPa9\/JwOdDLQQd0F4\/lcsEDeKRAQM1Y\/j8tU9GnV+pn1ne99vAE1AztFSlU\/Ol1+pn3Xa89PAE1Q3tFCtXF9CL5zPyu1x5eKKA\/HjYdFBrOO5EAqCGgAOBJKKCz60cEFIAhSgGdTZ+7fozxNgIKIB6pgM4L+izkCggogHi0Aup8+rptlgOqfTQyVNbTM7wssYDOrsIexBNQq7KenuFlqQW0fBAfsgtKQK3KenqGl6UW0Nm38fif\/j9tOaAA1MgFNAwBBRAPAQUATwQUADwRUADwpBrQH4\/v3vM4Gm85oNpHI0NlPT3Dy5INqN8r6gmoVVlPz\/CyCKgZ2itSqKynZ3hZBBQAPBFQAPBEQAHAEwEFAE8EFAA8EVAztI9GtnHoUzKHP\/0BDC9LNaCeCGh\/Dn9O+9CnP4jhZRFQM7RXpKNqnwPY9M8Dn\/4whpdFQJHEjU9S7XthgEgIKFLY+izqvhcHiIOAIgUCikEioEig2Nb3AgFREFAkQEAxTATUDO2jkYcdD+iQpz+K4WURUDO0V6TDCOhBDC+LgJqhvSIdRkAPYnhZBBQp8BQoBomAIgUCikEioEiCfmKICCjSoJ8YIAKKROgnhoeAmqF9NLKNQ\/kc\/vQHMLwsAmqG9ooUKuvpGV4WATVDe0UKlfX0DC+LgCIWnuBEdggo4uAYETJEQBEFr1JCjggoYuB18sgSAUUEvFMTeSKgZigfjQwPqPL0wRheFgE1Q3hFOn62uqOEpw\/H8LIIqBnCKxIBDcPwsggowkUIKKCIgCIcAUWmCCjCEVBkioAiAvqJPBFQREBAkScCaob00cjgfkpPH4rhZRFQM9RXpLD9T+3pAzG8LAJqhvaKFHo2JvHpwzC8LAKKWHj6E9khoADgiYACgCcCCgCeCCgAeCKgZmgfjQyV9fQML4uAmqG9IoXKenqGl0VAzdBekUJlPT3DyyKgAOCJgAKAJ9WATj9P3v7p\/mMEFEA8SgH9frlK5qdH87cNjn796ngVBBRAPEIB\/fGwuPV79Yfp6\/WJK0bP3K6DgCIfnJyge4oBPavK+ct4\/LhaP9wKanl90j4aGSrr6TsZXuX01tr3vGBAr8p1YvHY\/fp5sWxqW5bXJu0VKVTW03cxvMwHBGjf84IBLXdA7yy\/NC0L+sDlOiyvTNorUqisp+9geJ2PWNG+5\/UCWkVz\/bi93Bu97XIgyfi6BMTBh1QlohfQ9VOhta+1xqqELBDQRAgoMDjFtr4XaLD0Ajo7K0avVl\/7dkpAgW0ENBWxgL6azZ\/3XB844jlQYBcBTUUroKWf\/vLur+td0OpLHIUfhKynjz68UkC173m5gC7MH7dP\/zjldaBDkfX0BFSWUEDLYn45f3y6CWhV1M3Toa1YXpO0V6RQWU8ff3idforf81IBnZtXdBXQk\/duP2x7VQIiEQqoNr2Abkz\/7ZhPAopc0M80lAPqgXUJmaCfSRBQYJDoZwoEFBgo8tk9AmqG9tHIUFlPz\/CyxAM6pPfCa69IobKenuFlEVAztFekUFlPz\/CyCCgAeBIPaO2TOlshoADiUQ+oIwIKIB4CCgCeBh3QnXPSlFZPWXPJJZdchl7mGtAP9i7nfzKwHFwmv1zd+30vB+u98+WgA7rL8kP45V2SqaynZ3hZBNQM7RUpVNbTM7wsAgoAnggoAHgSCmj9M5FqeCcSgJ4QUADwJBTQ2fUjAgrAEKWAzqbPHT8GfoflgGofjQyV9fQML0sqoPOCPgu5gsYnAQDAU6y4rRsV+wrrXE9ft63vXzaAYYkWt1WjYl\/hDVehD+Ltsvz0Qveynp7hsdbtr6N8EB+0C2pY3itS1tMzPNY6\/nV8G4\/\/2e0t9CXvFSnr6Rkea\/w6POW9ImU9PcNjjV+Hp7xXpKynZ3is8evwlPeKlPX0DI81fh2e8l6Rsp6e4bGW5tfx4\/HdewM7Gp\/3ipT19AyPtUQBDXxFvUF5r0hZT8\/wWCOgnvJekbKenuGxRkA95b0iZT09w2ONgHrKe0XKenqGxxoB9ZT3ipT19AyPNQLqKe8VKevpGR5rBNRT3itS1tMzPNYIqKe8V6Ssp2d4rPHr8JT3ipT19AyPNX4dnvJekbKenuGxxq\/DU94rUtbTMzzW+HUAgCcCCgCeCCgAeCKgAOCJgAKAJwIKAJ4IKAB4IqAA4ImAAoAnAgoAnggoAHgioADgiYACgCcCCgCeCCgAeCKgAOCJgAKAJwIKAJ4IKAB4IqAA4ImAAoAnAgoAnggoAHgioADgiYACgCcCCgCeCCgAeCKgQX48vPV738uQ3PWL06IY3X\/f93L0Jst7vTQ9v1sUxU8Z3\/O7CGiI6fMiv03pY5nPyui\/+16SnmR5r882d3xR\/Nr3othBQANMz4r8NqWrYu1Z38vSiyzv9dmNO7640\/fCmEFA\/ZV7IvltSj8eFsVJ+Rjuy6P8Zp\/L8l6fLe\/4d7PFPT961ffiWEFAvX2aP6LJbVO6KIrbX6s\/VCF50PfSpJfnvT6b74DeWfypuufv9LkolhBQT9fl\/4eL+49y25TKjWe19\/HtdJnSjGR6r1fONk\/Z5HjP70NAPZV7YqOn+R1OKB\/IrbadWkuzkem9vqW2EmSPgHq6GP36NcPjsVe1R29n+R1GyvRe30JANwiop+\/VGpTfpnRVe+LzIr+AZnqvb7niOdA1Ahoiv02pHs2rLI8i5Xiv31TugGb33M1eBDREfpsSAc3xXr+heh3snb4XwgwCGiK\/TYmA5niv1+X6PoI9CGiI\/DYlAprjvV5TvQiUB\/AbBLS16q0YizeBv1p9Kb9NiYDmeK9vXPM2pJsIaGsEdJb9Ufi5\/O71tep8IieZzt6MgLZGQGfZvw50Lr97feWiOhMTrwCtI6Ah8tuUMn8n0lx+9\/rS6yLTJ20OIKAh8tuUMn8v\/Fx+9\/rCBU9\/7iKgITLclHI\/G9Msy3u9clUUtzgX\/TYCGiLDTWl1Wshszwea5b0+4\/1HexDQEDluStmfkT7Le31xAGmDli4R0BBZbkp\/8JlIGd7r8xPxE9AdBDRElptS9p\/KmeW9vn4RHwG9gYACgCcCCgCeCCgAeCKgAOCJgAKAJwIKAJ4IKAB4IqAA4ImAAoAnAgoAnggoAHgioADgiYACgCcCCgCeCCgAeCKgAOCJgAKAJwIKAJ4IKAB4IqAA4ImAAoAnAgoAnggoAHgioADgiYACgCcCCgCeCCgAeCKgAOCJgAKAJwIKAJ4IKAB4IqAA4ImAAoAnAgoAnggoAHgioADgiYACgCcCCgCeCCgAeCKgAOCJgAKAJwIKAJ4IKAB4IqAA4ImAAoAnAgoAnggoAHgioADgiYACgCcCCgCeCCgAeCKgAOCJgAKAJwIKAJ4IKIz48bC4\/XXfP16\/7OQ2O7paZIOAwogDAZ2+Lh50cIsdXS0yQkBhxIGAXhWdlK6jq0VGCCiMIKDQQ0BhBAGFHgIKIwgo9BBQGLEK6PR5cev36fnPRTG6\/776h7Jzc8+qv0w\/3i3\/eO\/lMrVn5c98Kr\/13vv5v21+aPd7v50Wd2bXj8vv+PXPnasFvBBQGFEP6P85rdWtXrpvq384WWSyDOjH6q+jV+W\/PVr802iZxK3vrQK6\/FL13QQUERBQGFEL6EaVulrp1k0syr3U6ofOip\/mX7oz\/\/naD+1+b\/n3\/\/G8+WoBTwQURtwI6Ojp1+plmssnKVdPVlaNPHlZPTY\/nTezCmhR3F7tjJY\/NZtdP1r80873zoNa7Yyuf5jnQBGKgMKIekAXu5ezi63SlZfL40zlN8\/3M892vrL6w873VgFdfKX80+pBPAFFEAIKI+oBXXatLN38S6vSnS0bufnS2fp7r5axnWf3WcP3rrK5+SkCilAEFEbUAroK3VZA6y90mh9Tn6dw+Rzmxc1nM3e\/d3Vls3VsCShCEVAY0SqgddU\/ndX2Ktd7nLPG710md3m9d2YEFOEIKIw4HtDacfWjAd393psBrX6YgCIUAYURrQK6\/V6lQwHd+l72QBEfAYURrR7CLw\/Pr22yufsc6Nb38hwo4iOgMOJ4QKvj81sve98EdHMUfr5\/ufu95ZdXST1bv8WJgCIIAYURxwNa7WXeWr7T\/WL1Mqba9y7\/uHiR0s73flu9fn6dUgKKUAQURhwO6PyyOrRevUdp9v11sXoh\/fqZz+U7kar3L1V53Pne+WGl++9rb2PavNYe8ENAYcSBgC4OqT\/bvH+9KHZfWl974dLqbUs3vlBeyU+rQ\/OLx\/LrqwU8EVAYcSCgi\/OLzN88dHojkjeOvV8\/uvFP299bPTW6jOrJ4rnQzdUCfggojDgQ0Nn0RVm6X+d\/Oq\/O8fnTkz8X33HjxUvz84EuTg062\/3e+bGl6pR3Pz1df8P6agEvBBSZqL0OFIiEgCITBBTxEVBkgoAiPgKKTBBQxEdAkQkCivgIKDJBQBEfAQUATwQUADwRUADwREABwBMBBQBPBBQAPBFQAPBEQAHAEwEFAE8EFAA8EVAA8ERAAcATAQUATwQUADwRUADwREABwBMBBQBPBBQAPBFQAPBEQAHAEwEFAE8EFAA8EVAA8ERAAcATAQUATwQUADwRUADwREABwBMBBQBPBBQAPBFQAPBEQAHAEwEFAE8EFAA8EVAA8ERAAcATY16OuwAAACRJREFUAQUATwQUADwRUADwREABwBMBBQBPBBQAPBFQAPD0\/wF8\/MFRdYUEZAAAAABJRU5ErkJggg==\" width=\"672\" \/><\/p>\n<\/div>\n<div id=\"figure-a.1-histogram-of-video-duration-minutes\" class=\"section level3\">\n<h3>Figure A.1 Histogram of Video Duration (Minutes)<\/h3>\n<pre class=\"r\"><code>par(mfrow=c(1,1))\npar(mar = c(5, 4, 1, 2) + 0.1) # Adjusts the margins\n# Video Duration\nhist(df$durationMin,\n xlab = "Duration (in Minutes)",\n main = "",\n breaks = seq(0, 60, length.out = 31))<\/code><\/pre>\n<p><img decoding=\"async\" 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