diff --git a/R/plot_time_tree.R b/R/plot_time_tree.R
index b18e083..58ee0d9 100644
--- a/R/plot_time_tree.R
+++ b/R/plot_time_tree.R
@@ -49,7 +49,7 @@ plot_time_tree <- function(tree, stats, legend_pos = c(0.3, 0.7)) {
         legend.key.width = unit(3,"line"),
         legend.text = element_text(size=20, face="bold"),
         legend.title = element_text(size=25, face="bold"), 
-        plot.margin = unit(c(1,8,1,1), "mm"))
+        plot.margin = unit(c(1,8,1,0.1), "mm"))
   
   return(p)
 }
\ No newline at end of file
diff --git a/docs/search.json b/docs/search.json
index 47e3ab4..3f921ce 100644
--- a/docs/search.json
+++ b/docs/search.json
@@ -88,7 +88,7 @@
     "href": "time_tree.html#time-calibrated-phylogenies",
     "title": "Time Calibrated Phylogenies",
     "section": "Time Calibrated Phylogenies",
-    "text": "Time Calibrated Phylogenies\n\nSerotype A\nCheck tree model statistics the get_tracer_stats() function calculates similar summary statistics as the Tracer software typically used with BEAST.\n\n\nHide code\ncheck_stats <- get_tracer_stats(here(\"local/beast/a_1/As_rev.log\"))\n\nkeep_stats <- c(\"joint\", \"prior\", \"likelihood\", \"treeModel.rootHeight\", \"age.root.\",\n                \"treeLength\", \"tmrca.fmd_a_rev.\", \"clock.rate\")\n\ncheck_stats %>%\n  filter(Parameter %in% keep_stats) %>%\n  gt() %>%\n  tab_header(\n    title = md(\"Serotype A Stats\")) %>%\n  cols_width(starts_with(\"Parameter\") ~ px(200),\n             starts_with(\"label\") ~ px(60),\n             everything() ~ px(95)) %>%\n  tab_options(table.font.size = \"small\",\n              row_group.font.size = \"small\",\n              stub.font.size = \"small\",\n              column_labels.font.size = \"medium\",\n              heading.title.font.size = \"large\",\n              data_row.padding = px(2),\n              heading.title.font.weight = \"bold\",\n              column_labels.font.weight = \"bold\") %>%\n  opt_stylize(style = 6, color = 'gray')\n\n\n\n\n\n  \n  \n  \n    \n    \n    \n    \n    \n    \n  \n  \n    \n      Serotype A Stats\n\n    \n    \n    \n      Parameter\n      Mean\n      Median\n      Q_0.025\n      Q_0.975\n      ESS\n    \n  \n  \n    joint\n-5625.950\n-5624.828\n-5647.862\n-5610.792\n1380\n    prior\n-76.426\n-75.418\n-96.610\n-62.129\n1155\n    likelihood\n-5549.524\n-5549.135\n-5560.279\n-5540.950\n23420\n    treeModel.rootHeight\n15.255\n13.950\n9.710\n28.080\n816\n    age.root.\n1997.688\n1998.992\n1984.863\n2003.232\n816\n    treeLength\n65.001\n58.191\n37.203\n130.643\n809\n    tmrca.fmd_a_rev.\n15.255\n13.950\n9.710\n28.080\n816\n    clock.rate\n0.005\n0.005\n0.002\n0.007\n1395\n  \n  \n  \n\n\n\n\n\nLoad MCC tree\n\n\nHide code\nsero_A.tree <- read.nexus(here(\"local/beast/a_1/As.mcc.tre\"))\n\nplot_time_tree(sero_A.tree, check_stats)\n\n\n\n\n\nFMDV Effective Population Size\nTrees were run using several different clock and prior choices, all showed flat-line Ne. The one here was the simplest, coalescent with contant population size.\n\n\nHide code\nphylodynamic_process(sero_A.tree, check_stats, x_limits = c(\"2009-01-01\", \"2017-01-01\"))\n\n\n\n\n\n\n\nSerotype Asia1\n\n\nHide code\ncheck_stats <- get_tracer_stats(here(\"local/beast/asia1_1/Asia1s.log\"))\n\nkeep_stats <- c(\"joint\", \"prior\", \"likelihood\", \"treeModel.rootHeight\", \"age.root.\",\n                \"treeLength\", \"tmrca.fmd_a_rev.\", \"clock.rate\")\n\ncheck_stats %>%\n  filter(Parameter %in% keep_stats) %>%\n  gt() %>%\n  tab_header(\n    title = md(\"Serotype Asia1 Stats\")) %>%\n  cols_width(starts_with(\"Parameter\") ~ px(200),\n             starts_with(\"label\") ~ px(60),\n             everything() ~ px(95)) %>%\n  tab_options(table.font.size = \"small\",\n              row_group.font.size = \"small\",\n              stub.font.size = \"small\",\n              column_labels.font.size = \"medium\",\n              heading.title.font.size = \"large\",\n              data_row.padding = px(2),\n              heading.title.font.weight = \"bold\",\n              column_labels.font.weight = \"bold\") %>%\n  opt_stylize(style = 6, color = 'gray')\n\n\n\n\n\n  \n  \n  \n    \n    \n    \n    \n    \n    \n  \n  \n    \n      Serotype Asia1 Stats\n\n    \n    \n    \n      Parameter\n      Mean\n      Median\n      Q_0.025\n      Q_0.975\n      ESS\n    \n  \n  \n    joint\n-6003.184\n-6002.404\n-6033.565\n-5977.100\n1045\n    prior\n-182.388\n-181.940\n-213.118\n-154.307\n714\n    likelihood\n-5820.797\n-5820.458\n-5838.825\n-5805.294\n2037\n    treeModel.rootHeight\n11.511\n11.411\n9.980\n13.638\n969\n    age.root.\n2005.650\n2005.751\n2003.524\n2007.182\n969\n    treeLength\n51.824\n50.974\n39.204\n69.562\n716\n    clock.rate\n0.004\n0.004\n0.003\n0.006\n586\n  \n  \n  \n\n\n\n\n\nLoad MCC tree\n\n\nHide code\nsero_Asia1.tree <- read.nexus(here(\"local/beast/asia1_1/asia1.mcc.tre\")) \nplot_time_tree(sero_Asia1.tree, check_stats, legend_pos = c(0.2, 0.5))\n\n\n\n\n\nFMDV Effective Population Size\nFlat Ne, like the other serotypes\n\n\nHide code\nphylodynamic_process(sero_Asia1.tree, check_stats, x_limits = c(\"2011-01-01\", \"2013-01-01\"))\n\n\n\n *** inla.core.safe:  rerun to try to solve negative eigenvalue(s) in the Hessian \n\n\n\n\n\n\n\nSerotype O\n\n\nHide code\ncheck_stats <- get_tracer_stats(here(\"local/beast/o_1/sero_0.log\"))\n\nkeep_stats <- c(\"joint\", \"prior\", \"likelihood\", \"treeModel.rootHeight\", \"age.root.\",\n                \"treeLength\", \"tmrca.fmd_a_rev.\", \"clock.rate\")\n\ncheck_stats %>%\n  filter(Parameter %in% keep_stats) %>%\n  gt() %>%\n  tab_header(\n    title = md(\"Serotype O Stats\")) %>%\n  cols_width(starts_with(\"Parameter\") ~ px(200),\n             starts_with(\"label\") ~ px(60),\n             everything() ~ px(95)) %>%\n  tab_options(table.font.size = \"small\",\n              row_group.font.size = \"small\",\n              stub.font.size = \"small\",\n              column_labels.font.size = \"medium\",\n              heading.title.font.size = \"large\",\n              data_row.padding = px(2),\n              heading.title.font.weight = \"bold\",\n              column_labels.font.weight = \"bold\") %>%\n  opt_stylize(style = 6, color = 'gray')\n\n\n\n\n\n  \n  \n  \n    \n    \n    \n    \n    \n    \n  \n  \n    \n      Serotype O Stats\n\n    \n    \n    \n      Parameter\n      Mean\n      Median\n      Q_0.025\n      Q_0.975\n      ESS\n    \n  \n  \n    joint\n-5209.488\n-5208.762\n-5226.241\n-5197.209\n3568\n    prior\n-75.522\n-74.950\n-89.019\n-65.512\n2568\n    likelihood\n-5133.966\n-5133.702\n-5145.086\n-5124.659\n8002\n    treeModel.rootHeight\n15.158\n14.650\n11.776\n21.363\n2294\n    age.root.\n2000.962\n2001.470\n1994.757\n2004.345\n2294\n    treeLength\n51.497\n49.341\n38.452\n77.114\n2042\n    clock.rate\n0.004\n0.004\n0.003\n0.005\n2758\n  \n  \n  \n\n\n\n\n\nLoad MCC tree\n\n\nHide code\nsero_O.tree <- read.nexus(here(\"local/beast/o_1/Os.mcc.tre\"))\n\nplot_time_tree(sero_O.tree, check_stats, legend_pos = c(0.2, 0.5))\n\n\n\n\n\nFMDV Effective Population Size\nFlat Ne, like the other serotypes\n\n\nHide code\nphylodynamic_process(sero_O.tree, check_stats, x_limits = c(\"2011-01-01\", \"2013-01-01\"))"
+    "text": "Time Calibrated Phylogenies\n\nSerotype A\nCheck tree model statistics the get_tracer_stats() function calculates similar summary statistics as the Tracer software typically used with BEAST.\n\n\nHide code\ncheck_stats <- get_tracer_stats(here(\"local/beast/a_1/As_rev.log\"))\n\nkeep_stats <- c(\"joint\", \"prior\", \"likelihood\", \"treeModel.rootHeight\", \"age.root.\",\n                \"treeLength\", \"tmrca.fmd_a_rev.\", \"clock.rate\")\n\ncheck_stats %>%\n  filter(Parameter %in% keep_stats) %>%\n  gt() %>%\n  tab_header(\n    title = md(\"Serotype A Stats\")) %>%\n  cols_width(starts_with(\"Parameter\") ~ px(200),\n             starts_with(\"label\") ~ px(60),\n             everything() ~ px(95)) %>%\n  tab_options(table.font.size = \"small\",\n              row_group.font.size = \"small\",\n              stub.font.size = \"small\",\n              column_labels.font.size = \"medium\",\n              heading.title.font.size = \"large\",\n              data_row.padding = px(2),\n              heading.title.font.weight = \"bold\",\n              column_labels.font.weight = \"bold\") %>%\n  opt_stylize(style = 6, color = 'gray')\n\n\n\n\n\n  \n  \n  \n    \n    \n    \n    \n    \n    \n  \n  \n    \n      Serotype A Stats\n\n    \n    \n    \n      Parameter\n      Mean\n      Median\n      Q_0.025\n      Q_0.975\n      ESS\n    \n  \n  \n    joint\n-5625.950\n-5624.828\n-5647.862\n-5610.792\n1380\n    prior\n-76.426\n-75.418\n-96.610\n-62.129\n1155\n    likelihood\n-5549.524\n-5549.135\n-5560.279\n-5540.950\n23420\n    treeModel.rootHeight\n15.255\n13.950\n9.710\n28.080\n816\n    age.root.\n1997.688\n1998.992\n1984.863\n2003.232\n816\n    treeLength\n65.001\n58.191\n37.203\n130.643\n809\n    tmrca.fmd_a_rev.\n15.255\n13.950\n9.710\n28.080\n816\n    clock.rate\n0.005\n0.005\n0.002\n0.007\n1395\n  \n  \n  \n\n\n\n\n\nLoad MCC tree\n\n\nHide code\nsero_A.tree <- read.nexus(here(\"local/beast/a_1/As.mcc.tre\"))\n\nplot_time_tree(sero_A.tree, check_stats)\n\n\n\n\n\nFMDV Effective Population Size\nTrees were run using several different clock and prior choices, all showed flat-line Ne. The one here was the simplest, coalescent with contant population size.\n\n\nHide code\nphylodynamic_process(sero_A.tree, check_stats, x_limits = c(\"2011-01-01\", \"2013-01-01\"))\n\n\n\n\n\n\n\nSerotype Asia1\n\n\nHide code\ncheck_stats <- get_tracer_stats(here(\"local/beast/asia1_1/Asia1s.log\"))\n\nkeep_stats <- c(\"joint\", \"prior\", \"likelihood\", \"treeModel.rootHeight\", \"age.root.\",\n                \"treeLength\", \"tmrca.fmd_a_rev.\", \"clock.rate\")\n\ncheck_stats %>%\n  filter(Parameter %in% keep_stats) %>%\n  gt() %>%\n  tab_header(\n    title = md(\"Serotype Asia1 Stats\")) %>%\n  cols_width(starts_with(\"Parameter\") ~ px(200),\n             starts_with(\"label\") ~ px(60),\n             everything() ~ px(95)) %>%\n  tab_options(table.font.size = \"small\",\n              row_group.font.size = \"small\",\n              stub.font.size = \"small\",\n              column_labels.font.size = \"medium\",\n              heading.title.font.size = \"large\",\n              data_row.padding = px(2),\n              heading.title.font.weight = \"bold\",\n              column_labels.font.weight = \"bold\") %>%\n  opt_stylize(style = 6, color = 'gray')\n\n\n\n\n\n  \n  \n  \n    \n    \n    \n    \n    \n    \n  \n  \n    \n      Serotype Asia1 Stats\n\n    \n    \n    \n      Parameter\n      Mean\n      Median\n      Q_0.025\n      Q_0.975\n      ESS\n    \n  \n  \n    joint\n-6003.184\n-6002.404\n-6033.565\n-5977.100\n1045\n    prior\n-182.388\n-181.940\n-213.118\n-154.307\n714\n    likelihood\n-5820.797\n-5820.458\n-5838.825\n-5805.294\n2037\n    treeModel.rootHeight\n11.511\n11.411\n9.980\n13.638\n969\n    age.root.\n2005.650\n2005.751\n2003.524\n2007.182\n969\n    treeLength\n51.824\n50.974\n39.204\n69.562\n716\n    clock.rate\n0.004\n0.004\n0.003\n0.006\n586\n  \n  \n  \n\n\n\n\n\nLoad MCC tree\n\n\nHide code\nsero_Asia1.tree <- read.nexus(here(\"local/beast/asia1_1/asia1.mcc.tre\")) \nplot_time_tree(sero_Asia1.tree, check_stats, legend_pos = c(0.2, 0.5))\n\n\n\n\n\nFMDV Effective Population Size\nFlat Ne, like the other serotypes\n\n\nHide code\nphylodynamic_process(sero_Asia1.tree, check_stats, x_limits = c(\"2011-01-01\", \"2013-01-01\"))\n\n\n\n\n\n\n\nSerotype O\n\n\nHide code\ncheck_stats <- get_tracer_stats(here(\"local/beast/o_1/sero_0.log\"))\n\nkeep_stats <- c(\"joint\", \"prior\", \"likelihood\", \"treeModel.rootHeight\", \"age.root.\",\n                \"treeLength\", \"tmrca.fmd_a_rev.\", \"clock.rate\")\n\ncheck_stats %>%\n  filter(Parameter %in% keep_stats) %>%\n  gt() %>%\n  tab_header(\n    title = md(\"Serotype O Stats\")) %>%\n  cols_width(starts_with(\"Parameter\") ~ px(200),\n             starts_with(\"label\") ~ px(60),\n             everything() ~ px(95)) %>%\n  tab_options(table.font.size = \"small\",\n              row_group.font.size = \"small\",\n              stub.font.size = \"small\",\n              column_labels.font.size = \"medium\",\n              heading.title.font.size = \"large\",\n              data_row.padding = px(2),\n              heading.title.font.weight = \"bold\",\n              column_labels.font.weight = \"bold\") %>%\n  opt_stylize(style = 6, color = 'gray')\n\n\n\n\n\n  \n  \n  \n    \n    \n    \n    \n    \n    \n  \n  \n    \n      Serotype O Stats\n\n    \n    \n    \n      Parameter\n      Mean\n      Median\n      Q_0.025\n      Q_0.975\n      ESS\n    \n  \n  \n    joint\n-5209.488\n-5208.762\n-5226.241\n-5197.209\n3568\n    prior\n-75.522\n-74.950\n-89.019\n-65.512\n2568\n    likelihood\n-5133.966\n-5133.702\n-5145.086\n-5124.659\n8002\n    treeModel.rootHeight\n15.158\n14.650\n11.776\n21.363\n2294\n    age.root.\n2000.962\n2001.470\n1994.757\n2004.345\n2294\n    treeLength\n51.497\n49.341\n38.452\n77.114\n2042\n    clock.rate\n0.004\n0.004\n0.003\n0.005\n2758\n  \n  \n  \n\n\n\n\n\nLoad MCC tree\n\n\nHide code\nsero_O.tree <- read.nexus(here(\"local/beast/o_1/Os.mcc.tre\"))\n\nplot_time_tree(sero_O.tree, check_stats, legend_pos = c(0.2, 0.5))\n\n\n\n\n\nFMDV Effective Population Size\nFlat Ne, like the other serotypes\n\n\nHide code\nphylodynamic_process(sero_O.tree, check_stats, x_limits = c(\"2011-01-01\", \"2013-01-01\"))"
   },
   {
     "objectID": "index.html",
@@ -96,5 +96,26 @@
     "title": "Overview",
     "section": "",
     "text": "Under Active Development\n\n\n\nThe tabs across the top of this webpage can be navigated to view various exploratory analyses examining FMDV co-infection and recombination dynamics in water buffalo. The code, data, and analyses on this site have not been verified or validated and are subject to change."
+  },
+  {
+    "objectID": "time_tree.html#serotype-a",
+    "href": "time_tree.html#serotype-a",
+    "title": "Time Calibrated Phylogenies",
+    "section": "Serotype A",
+    "text": "Serotype A\nCheck tree model statistics the get_tracer_stats() function calculates similar summary statistics as the Tracer software typically used with BEAST.\n\n\nHide code\ncheck_stats <- get_tracer_stats(here(\"local/beast/a_1/As_rev.log\"))\n\nkeep_stats <- c(\"joint\", \"prior\", \"likelihood\", \"treeModel.rootHeight\", \"age.root.\",\n                \"treeLength\", \"tmrca.fmd_a_rev.\", \"clock.rate\")\n\ncheck_stats %>%\n  filter(Parameter %in% keep_stats) %>%\n  gt() %>%\n  tab_header(\n    title = md(\"Serotype A Stats\")) %>%\n  cols_width(starts_with(\"Parameter\") ~ px(200),\n             starts_with(\"label\") ~ px(60),\n             everything() ~ px(95)) %>%\n  tab_options(table.font.size = \"small\",\n              row_group.font.size = \"small\",\n              stub.font.size = \"small\",\n              column_labels.font.size = \"medium\",\n              heading.title.font.size = \"large\",\n              data_row.padding = px(2),\n              heading.title.font.weight = \"bold\",\n              column_labels.font.weight = \"bold\") %>%\n  opt_stylize(style = 6, color = 'gray')\n\n\n\n\n\n  \n  \n  \n    \n    \n    \n    \n    \n    \n  \n  \n    \n      Serotype A Stats\n\n    \n    \n    \n      Parameter\n      Mean\n      Median\n      Q_0.025\n      Q_0.975\n      ESS\n    \n  \n  \n    joint\n-5625.950\n-5624.828\n-5647.862\n-5610.792\n1380\n    prior\n-76.426\n-75.418\n-96.610\n-62.129\n1155\n    likelihood\n-5549.524\n-5549.135\n-5560.279\n-5540.950\n23420\n    treeModel.rootHeight\n15.255\n13.950\n9.710\n28.080\n816\n    age.root.\n1997.688\n1998.992\n1984.863\n2003.232\n816\n    treeLength\n65.001\n58.191\n37.203\n130.643\n809\n    tmrca.fmd_a_rev.\n15.255\n13.950\n9.710\n28.080\n816\n    clock.rate\n0.005\n0.005\n0.002\n0.007\n1395\n  \n  \n  \n\n\n\n\n\nLoad MCC tree\n\n\nHide code\nsero_A.tree <- read.nexus(here(\"local/beast/a_1/As.mcc.tre\"))\n\nplot_time_tree(sero_A.tree, check_stats)\n\n\n\n\n\nFMDV Effective Population Size\nTrees were run using several different clock and prior choices, all showed flat-line Ne. The one here was the simplest, coalescent with contant population size.\n\n\nHide code\nphylodynamic_process(sero_A.tree, check_stats, x_limits = c(\"2011-01-01\", \"2013-01-01\"))"
+  },
+  {
+    "objectID": "time_tree.html#serotype-asia1",
+    "href": "time_tree.html#serotype-asia1",
+    "title": "Time Calibrated Phylogenies",
+    "section": "Serotype Asia1",
+    "text": "Serotype Asia1\n\n\nHide code\ncheck_stats <- get_tracer_stats(here(\"local/beast/asia1_1/Asia1s.log\"))\n\nkeep_stats <- c(\"joint\", \"prior\", \"likelihood\", \"treeModel.rootHeight\", \"age.root.\",\n                \"treeLength\", \"tmrca.fmd_a_rev.\", \"clock.rate\")\n\ncheck_stats %>%\n  filter(Parameter %in% keep_stats) %>%\n  gt() %>%\n  tab_header(\n    title = md(\"Serotype Asia1 Stats\")) %>%\n  cols_width(starts_with(\"Parameter\") ~ px(200),\n             starts_with(\"label\") ~ px(60),\n             everything() ~ px(95)) %>%\n  tab_options(table.font.size = \"small\",\n              row_group.font.size = \"small\",\n              stub.font.size = \"small\",\n              column_labels.font.size = \"medium\",\n              heading.title.font.size = \"large\",\n              data_row.padding = px(2),\n              heading.title.font.weight = \"bold\",\n              column_labels.font.weight = \"bold\") %>%\n  opt_stylize(style = 6, color = 'gray')\n\n\n\n\n\n  \n  \n  \n    \n    \n    \n    \n    \n    \n  \n  \n    \n      Serotype Asia1 Stats\n\n    \n    \n    \n      Parameter\n      Mean\n      Median\n      Q_0.025\n      Q_0.975\n      ESS\n    \n  \n  \n    joint\n-6003.184\n-6002.404\n-6033.565\n-5977.100\n1045\n    prior\n-182.388\n-181.940\n-213.118\n-154.307\n714\n    likelihood\n-5820.797\n-5820.458\n-5838.825\n-5805.294\n2037\n    treeModel.rootHeight\n11.511\n11.411\n9.980\n13.638\n969\n    age.root.\n2005.650\n2005.751\n2003.524\n2007.182\n969\n    treeLength\n51.824\n50.974\n39.204\n69.562\n716\n    clock.rate\n0.004\n0.004\n0.003\n0.006\n586\n  \n  \n  \n\n\n\n\n\nLoad MCC tree\n\n\nHide code\nsero_Asia1.tree <- read.nexus(here(\"local/beast/asia1_1/asia1.mcc.tre\")) \nplot_time_tree(sero_Asia1.tree, check_stats, legend_pos = c(0.2, 0.5))\n\n\n\n\n\nFMDV Effective Population Size\nFlat Ne, like the other serotypes\n\n\nHide code\nphylodynamic_process(sero_Asia1.tree, check_stats, x_limits = c(\"2011-01-01\", \"2013-01-01\"))"
+  },
+  {
+    "objectID": "time_tree.html#serotype-o",
+    "href": "time_tree.html#serotype-o",
+    "title": "Time Calibrated Phylogenies",
+    "section": "Serotype O",
+    "text": "Serotype O\n\n\nHide code\ncheck_stats <- get_tracer_stats(here(\"local/beast/o_1/sero_0.log\"))\n\nkeep_stats <- c(\"joint\", \"prior\", \"likelihood\", \"treeModel.rootHeight\", \"age.root.\",\n                \"treeLength\", \"tmrca.fmd_a_rev.\", \"clock.rate\")\n\ncheck_stats %>%\n  filter(Parameter %in% keep_stats) %>%\n  gt() %>%\n  tab_header(\n    title = md(\"Serotype O Stats\")) %>%\n  cols_width(starts_with(\"Parameter\") ~ px(200),\n             starts_with(\"label\") ~ px(60),\n             everything() ~ px(95)) %>%\n  tab_options(table.font.size = \"small\",\n              row_group.font.size = \"small\",\n              stub.font.size = \"small\",\n              column_labels.font.size = \"medium\",\n              heading.title.font.size = \"large\",\n              data_row.padding = px(2),\n              heading.title.font.weight = \"bold\",\n              column_labels.font.weight = \"bold\") %>%\n  opt_stylize(style = 6, color = 'gray')\n\n\n\n\n\n  \n  \n  \n    \n    \n    \n    \n    \n    \n  \n  \n    \n      Serotype O Stats\n\n    \n    \n    \n      Parameter\n      Mean\n      Median\n      Q_0.025\n      Q_0.975\n      ESS\n    \n  \n  \n    joint\n-5209.488\n-5208.762\n-5226.241\n-5197.209\n3568\n    prior\n-75.522\n-74.950\n-89.019\n-65.512\n2568\n    likelihood\n-5133.966\n-5133.702\n-5145.086\n-5124.659\n8002\n    treeModel.rootHeight\n15.158\n14.650\n11.776\n21.363\n2294\n    age.root.\n2000.962\n2001.470\n1994.757\n2004.345\n2294\n    treeLength\n51.497\n49.341\n38.452\n77.114\n2042\n    clock.rate\n0.004\n0.004\n0.003\n0.005\n2758\n  \n  \n  \n\n\n\n\n\nLoad MCC tree\n\n\nHide code\nsero_O.tree <- read.nexus(here(\"local/beast/o_1/Os.mcc.tre\"))\n\nplot_time_tree(sero_O.tree, check_stats, legend_pos = c(0.2, 0.5))\n\n\n\n\n\nFMDV Effective Population Size\nFlat Ne, like the other serotypes\n\n\nHide code\nphylodynamic_process(sero_O.tree, check_stats, x_limits = c(\"2011-01-01\", \"2013-01-01\"))"
   }
 ]
\ No newline at end of file
diff --git a/docs/site_libs/bootstrap/bootstrap.min.css b/docs/site_libs/bootstrap/bootstrap.min.css
index 0430e9b..47ec88b 100644
--- a/docs/site_libs/bootstrap/bootstrap.min.css
+++ b/docs/site_libs/bootstrap/bootstrap.min.css
@@ -7,4 +7,4 @@
 *
 * ansi colors from IPython notebook's
 *
-*/.ansi-black-fg{color:#3e424d}.ansi-black-bg{background-color:#3e424d}.ansi-black-intense-fg{color:#282c36}.ansi-black-intense-bg{background-color:#282c36}.ansi-red-fg{color:#e75c58}.ansi-red-bg{background-color:#e75c58}.ansi-red-intense-fg{color:#b22b31}.ansi-red-intense-bg{background-color:#b22b31}.ansi-green-fg{color:#00a250}.ansi-green-bg{background-color:#00a250}.ansi-green-intense-fg{color:#007427}.ansi-green-intense-bg{background-color:#007427}.ansi-yellow-fg{color:#ddb62b}.ansi-yellow-bg{background-color:#ddb62b}.ansi-yellow-intense-fg{color:#b27d12}.ansi-yellow-intense-bg{background-color:#b27d12}.ansi-blue-fg{color:#208ffb}.ansi-blue-bg{background-color:#208ffb}.ansi-blue-intense-fg{color:#0065ca}.ansi-blue-intense-bg{background-color:#0065ca}.ansi-magenta-fg{color:#d160c4}.ansi-magenta-bg{background-color:#d160c4}.ansi-magenta-intense-fg{color:#a03196}.ansi-magenta-intense-bg{background-color:#a03196}.ansi-cyan-fg{color:#60c6c8}.ansi-cyan-bg{background-color:#60c6c8}.ansi-cyan-intense-fg{color:#258f8f}.ansi-cyan-intense-bg{background-color:#258f8f}.ansi-white-fg{color:#c5c1b4}.ansi-white-bg{background-color:#c5c1b4}.ansi-white-intense-fg{color:#a1a6b2}.ansi-white-intense-bg{background-color:#a1a6b2}.ansi-default-inverse-fg{color:#fff}.ansi-default-inverse-bg{background-color:#000}.ansi-bold{font-weight:bold}.ansi-underline{text-decoration:underline}:root{--quarto-body-bg: #fff;--quarto-body-color: #55595c;--quarto-text-muted: #6c757d;--quarto-border-color: rgba(0, 0, 0, 0.05);--quarto-border-width: 1px;--quarto-border-radius: 0.25rem}table.gt_table{color:var(--quarto-body-color);font-size:1em;width:100%;background-color:transparent;border-top-width:inherit;border-bottom-width:inherit;border-color:var(--quarto-border-color)}table.gt_table th.gt_column_spanner_outer{color:var(--quarto-body-color);background-color:transparent;border-top-width:inherit;border-bottom-width:inherit;border-color:var(--quarto-border-color)}table.gt_table th.gt_col_heading{color:var(--quarto-body-color);font-weight:bold;background-color:transparent}table.gt_table thead.gt_col_headings{border-bottom:1px solid currentColor;border-top-width:inherit;border-top-color:var(--quarto-border-color)}table.gt_table thead.gt_col_headings:not(:first-child){border-top-width:1px;border-top-color:var(--quarto-border-color)}table.gt_table td.gt_row{border-bottom-width:1px;border-bottom-color:var(--quarto-border-color);border-top-width:0px}table.gt_table tbody.gt_table_body{border-top-width:1px;border-bottom-width:1px;border-bottom-color:var(--quarto-border-color);border-top-color:currentColor}div.columns{display:initial;gap:initial}div.column{display:inline-block;overflow-x:initial;vertical-align:top;width:50%}@media print{:root{font-size:11pt}#quarto-sidebar,#TOC,.nav-page{display:none}.page-columns .content{grid-column-start:page-start}.fixed-top{position:relative}.panel-caption,.figure-caption,figcaption{color:#666}}.code-copy-button{position:absolute;top:0;right:0;border:0;margin-top:5px;margin-right:5px;background-color:transparent}.code-copy-button:focus{outline:none}.code-copy-button-tooltip{font-size:.75em}pre.sourceCode:hover>.code-copy-button>.bi::before{display:inline-block;height:1rem;width:1rem;content:"";vertical-align:-0.125em;background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgb(94, 94, 94)" viewBox="0 0 16 16"><path d="M4 1.5H3a2 2 0 0 0-2 2V14a2 2 0 0 0 2 2h10a2 2 0 0 0 2-2V3.5a2 2 0 0 0-2-2h-1v1h1a1 1 0 0 1 1 1V14a1 1 0 0 1-1 1H3a1 1 0 0 1-1-1V3.5a1 1 0 0 1 1-1h1v-1z"/><path d="M9.5 1a.5.5 0 0 1 .5.5v1a.5.5 0 0 1-.5.5h-3a.5.5 0 0 1-.5-.5v-1a.5.5 0 0 1 .5-.5h3zm-3-1A1.5 1.5 0 0 0 5 1.5v1A1.5 1.5 0 0 0 6.5 4h3A1.5 1.5 0 0 0 11 2.5v-1A1.5 1.5 0 0 0 9.5 0h-3z"/></svg>');background-repeat:no-repeat;background-size:1rem 1rem}pre.sourceCode:hover>.code-copy-button-checked>.bi::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgb(94, 94, 94)" viewBox="0 0 16 16"><path d="M13.854 3.646a.5.5 0 0 1 0 .708l-7 7a.5.5 0 0 1-.708 0l-3.5-3.5a.5.5 0 1 1 .708-.708L6.5 10.293l6.646-6.647a.5.5 0 0 1 .708 0z"/></svg>')}pre.sourceCode:hover>.code-copy-button:hover>.bi::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgb(71, 88, 171)" viewBox="0 0 16 16"><path d="M4 1.5H3a2 2 0 0 0-2 2V14a2 2 0 0 0 2 2h10a2 2 0 0 0 2-2V3.5a2 2 0 0 0-2-2h-1v1h1a1 1 0 0 1 1 1V14a1 1 0 0 1-1 1H3a1 1 0 0 1-1-1V3.5a1 1 0 0 1 1-1h1v-1z"/><path d="M9.5 1a.5.5 0 0 1 .5.5v1a.5.5 0 0 1-.5.5h-3a.5.5 0 0 1-.5-.5v-1a.5.5 0 0 1 .5-.5h3zm-3-1A1.5 1.5 0 0 0 5 1.5v1A1.5 1.5 0 0 0 6.5 4h3A1.5 1.5 0 0 0 11 2.5v-1A1.5 1.5 0 0 0 9.5 0h-3z"/></svg>')}pre.sourceCode:hover>.code-copy-button-checked:hover>.bi::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgb(71, 88, 171)"  viewBox="0 0 16 16"><path d="M13.854 3.646a.5.5 0 0 1 0 .708l-7 7a.5.5 0 0 1-.708 0l-3.5-3.5a.5.5 0 1 1 .708-.708L6.5 10.293l6.646-6.647a.5.5 0 0 1 .708 0z"/></svg>')}main ol ol,main ul ul,main ol ul,main ul ol{margin-bottom:1em}body{margin:0}main.page-columns>header>h1.title,main.page-columns>header>.title.h1{margin-bottom:0}@media(min-width: 992px){body .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset] 35px [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(500px, calc(850px - 3em)) [body-content-end] 1.5em [body-end] 35px [body-end-outset] minmax(75px, 145px) [page-end-inset] 35px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.fullcontent:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset] 35px [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(500px, calc(850px - 3em)) [body-content-end] 1.5em [body-end] 35px [body-end-outset] 35px [page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.slimcontent:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset] 35px [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(500px, calc(750px - 3em)) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(0px, 200px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.listing:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start] minmax(50px, 100px) [page-start-inset] 50px [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(500px, calc(1200px - 3em)) [body-content-end] 3em [body-end] 50px [body-end-outset] minmax(0px, 250px) [page-end-inset] 50px [page-end] 1fr [screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 35px [page-start-inset] minmax(0px, 175px) [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(450px, calc(750px - 3em)) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(0px, 200px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 35px [page-start-inset] minmax(0px, 175px) [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(450px, calc(750px - 3em)) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(0px, 200px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] minmax(25px, 50px) [page-start-inset] minmax(50px, 150px) [body-start-outset] minmax(25px, 50px) [body-start] 1.5em [body-content-start] minmax(500px, calc(800px - 3em)) [body-content-end] 1.5em [body-end] minmax(25px, 50px) [body-end-outset] minmax(50px, 150px) [page-end-inset] minmax(25px, 50px) [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start] minmax(50px, 100px) [page-start-inset] 50px [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(500px, calc( 1000px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(0px, 100px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked.fullcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start] minmax(50px, 100px) [page-start-inset] 50px [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(500px, calc( 1000px - 3em )) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating.fullcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 50px [page-start-inset] minmax(50px, 150px) [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(500px, calc(800px - 3em)) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked.slimcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start] minmax(50px, 100px) [page-start-inset] 50px [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(450px, calc(750px - 3em)) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(0px, 200px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked.listing .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start] minmax(50px, 100px) [page-start-inset] 50px [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(500px, calc( 1000px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(0px, 100px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating.slimcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 50px [page-start-inset] minmax(50px, 150px) [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(450px, calc(750px - 3em)) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(50px, 150px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating.listing .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] minmax(25px, 50px) [page-start-inset] minmax(50px, 150px) [body-start-outset] minmax(25px, 50px) [body-start] 1.5em [body-content-start] minmax(500px, calc(800px - 3em)) [body-content-end] 1.5em [body-end] minmax(25px, 50px) [body-end-outset] minmax(50px, 150px) [page-end-inset] minmax(25px, 50px) [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}}@media(max-width: 991.98px){body .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset] 5fr [body-start] 1.5em [body-content-start] minmax(500px, calc(750px - 3em)) [body-content-end] 1.5em [body-end] 35px [body-end-outset] minmax(75px, 145px) [page-end-inset] 35px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.fullcontent:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset] 5fr [body-start] 1.5em [body-content-start] minmax(500px, calc(750px - 3em)) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.slimcontent:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset] 5fr [body-start] 1.5em [body-content-start] minmax(500px, calc(750px - 3em)) [body-content-end] 1.5em [body-end] 35px [body-end-outset] minmax(75px, 145px) [page-end-inset] 35px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.listing:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset] 5fr [body-start] 1.5em [body-content-start] minmax(500px, calc(1200px - 3em)) [body-content-end body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 35px [page-start-inset] minmax(0px, 145px) [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(450px, calc(750px - 3em)) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 35px [page-start-inset] minmax(0px, 145px) [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(450px, calc(750px - 3em)) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset body-start-outset body-start] 1em [body-content-start] minmax(500px, calc(750px - 3em)) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(75px, 150px) [page-end-inset] 25px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(500px, calc(750px - 3em)) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(25px, 50px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked.fullcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(500px, calc( 1000px - 3em )) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating.fullcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset body-start-outset body-start] 1em [body-content-start] minmax(500px, calc(800px - 3em)) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked.slimcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(500px, calc(750px - 3em)) [body-content-end] 1.5em [body-end] 35px [body-end-outset] minmax(75px, 145px) [page-end-inset] 35px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked.listing .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(500px, calc(750px - 3em)) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(25px, 50px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating.slimcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset body-start-outset body-start] 1em [body-content-start] minmax(500px, calc(750px - 3em)) [body-content-end] 1.5em [body-end] 35px [body-end-outset] minmax(75px, 145px) [page-end-inset] 35px [page-end] 4fr [screen-end-inset] 1.5em [screen-end]}body.floating.listing .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset body-start-outset body-start] 1em [body-content-start] minmax(500px, calc(750px - 3em)) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(75px, 150px) [page-end-inset] 25px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}}@media(max-width: 767.98px){body .page-columns,body.fullcontent:not(.floating):not(.docked) .page-columns,body.slimcontent:not(.floating):not(.docked) .page-columns,body.docked .page-columns,body.docked.slimcontent .page-columns,body.docked.fullcontent .page-columns,body.floating .page-columns,body.floating.slimcontent .page-columns,body.floating.fullcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(0px, 1fr) [body-content-end body-end body-end-outset page-end-inset page-end screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(0px, 1fr) [body-content-end body-end body-end-outset page-end-inset page-end screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(0px, 1fr) [body-content-end body-end body-end-outset page-end-inset page-end screen-end-inset] 1.5em [screen-end]}nav[role=doc-toc]{display:none}}body,.page-row-navigation{grid-template-rows:[page-top] max-content [contents-top] max-content [contents-bottom] max-content [page-bottom]}.page-rows-contents{grid-template-rows:[content-top] minmax(max-content, 1fr) [content-bottom] minmax(60px, max-content) [page-bottom]}.page-full{grid-column:screen-start/screen-end !important}.page-columns>*{grid-column:body-content-start/body-content-end}.page-columns.column-page>*{grid-column:page-start/page-end}.page-columns.column-page-left>*{grid-column:page-start/body-content-end}.page-columns.column-page-right>*{grid-column:body-content-start/page-end}.page-rows{grid-auto-rows:auto}.header{grid-column:screen-start/screen-end;grid-row:page-top/contents-top}#quarto-content{padding:0;grid-column:screen-start/screen-end;grid-row:contents-top/contents-bottom}body.floating .sidebar.sidebar-navigation{grid-column:page-start/body-start;grid-row:content-top/page-bottom}body.docked .sidebar.sidebar-navigation{grid-column:screen-start/body-start;grid-row:content-top/page-bottom}.sidebar.toc-left{grid-column:page-start/body-start;grid-row:content-top/page-bottom}.sidebar.margin-sidebar{grid-column:body-end/page-end;grid-row:content-top/page-bottom}.page-columns .content{grid-column:body-content-start/body-content-end;grid-row:content-top/content-bottom;align-content:flex-start}.page-columns .page-navigation{grid-column:body-content-start/body-content-end;grid-row:content-bottom/page-bottom}.page-columns .footer{grid-column:screen-start/screen-end;grid-row:contents-bottom/page-bottom}.page-columns .column-body{grid-column:body-content-start/body-content-end}.page-columns .column-body-fullbleed{grid-column:body-start/body-end}.page-columns .column-body-outset{grid-column:body-start-outset/body-end-outset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-body-outset table{background:#fff}.page-columns .column-body-outset-left{grid-column:body-start-outset/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-body-outset-left table{background:#fff}.page-columns .column-body-outset-right{grid-column:body-content-start/body-end-outset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-body-outset-right table{background:#fff}.page-columns .column-page{grid-column:page-start/page-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page table{background:#fff}.page-columns .column-page-inset{grid-column:page-start-inset/page-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page-inset table{background:#fff}.page-columns .column-page-inset-left{grid-column:page-start-inset/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page-inset-left table{background:#fff}.page-columns .column-page-inset-right{grid-column:body-content-start/page-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page-inset-right figcaption table{background:#fff}.page-columns .column-page-left{grid-column:page-start/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page-left table{background:#fff}.page-columns .column-page-right{grid-column:body-content-start/page-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page-right figcaption table{background:#fff}#quarto-content.page-columns #quarto-margin-sidebar,#quarto-content.page-columns #quarto-sidebar{z-index:1}@media(max-width: 991.98px){#quarto-content.page-columns #quarto-margin-sidebar.collapse,#quarto-content.page-columns #quarto-sidebar.collapse{z-index:1055}}#quarto-content.page-columns main.column-page,#quarto-content.page-columns main.column-page-right,#quarto-content.page-columns main.column-page-left{z-index:0}.page-columns .column-screen-inset{grid-column:screen-start-inset/screen-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset table{background:#fff}.page-columns .column-screen-inset-left{grid-column:screen-start-inset/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset-left table{background:#fff}.page-columns .column-screen-inset-right{grid-column:body-content-start/screen-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset-right table{background:#fff}.page-columns .column-screen{grid-column:screen-start/screen-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen table{background:#fff}.page-columns .column-screen-left{grid-column:screen-start/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-left table{background:#fff}.page-columns .column-screen-right{grid-column:body-content-start/screen-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-right table{background:#fff}.page-columns .column-screen-inset-shaded{grid-column:screen-start/screen-end;padding:1em;background:#fff;z-index:998;transform:translate3d(0, 0, 0);margin-bottom:1em}.zindex-content{z-index:998;transform:translate3d(0, 0, 0)}.zindex-modal{z-index:1055;transform:translate3d(0, 0, 0)}.zindex-over-content{z-index:999;transform:translate3d(0, 0, 0)}img.img-fluid.column-screen,img.img-fluid.column-screen-inset-shaded,img.img-fluid.column-screen-inset,img.img-fluid.column-screen-inset-left,img.img-fluid.column-screen-inset-right,img.img-fluid.column-screen-left,img.img-fluid.column-screen-right{width:100%}@media(min-width: 992px){.margin-caption,div.aside,aside,.column-margin{grid-column:body-end/page-end !important;z-index:998}.column-sidebar{grid-column:page-start/body-start !important;z-index:998}.column-leftmargin{grid-column:screen-start-inset/body-start !important;z-index:998}.no-row-height{height:1em;overflow:visible}}@media(max-width: 991.98px){.margin-caption,div.aside,aside,.column-margin{grid-column:body-end/page-end !important;z-index:998}.no-row-height{height:1em;overflow:visible}.page-columns.page-full{overflow:visible}.page-columns.toc-left .margin-caption,.page-columns.toc-left div.aside,.page-columns.toc-left aside,.page-columns.toc-left .column-margin{grid-column:body-content-start/body-content-end !important;z-index:998;transform:translate3d(0, 0, 0)}.page-columns.toc-left .no-row-height{height:initial;overflow:initial}}@media(max-width: 767.98px){.margin-caption,div.aside,aside,.column-margin{grid-column:body-content-start/body-content-end !important;z-index:998;transform:translate3d(0, 0, 0)}.no-row-height{height:initial;overflow:initial}#quarto-margin-sidebar{display:none}.hidden-sm{display:none}}.panel-grid{display:grid;grid-template-rows:repeat(1, 1fr);grid-template-columns:repeat(24, 1fr);gap:1em}.panel-grid .g-col-1{grid-column:auto/span 1}.panel-grid .g-col-2{grid-column:auto/span 2}.panel-grid .g-col-3{grid-column:auto/span 3}.panel-grid .g-col-4{grid-column:auto/span 4}.panel-grid .g-col-5{grid-column:auto/span 5}.panel-grid .g-col-6{grid-column:auto/span 6}.panel-grid .g-col-7{grid-column:auto/span 7}.panel-grid .g-col-8{grid-column:auto/span 8}.panel-grid .g-col-9{grid-column:auto/span 9}.panel-grid .g-col-10{grid-column:auto/span 10}.panel-grid .g-col-11{grid-column:auto/span 11}.panel-grid .g-col-12{grid-column:auto/span 12}.panel-grid .g-col-13{grid-column:auto/span 13}.panel-grid .g-col-14{grid-column:auto/span 14}.panel-grid .g-col-15{grid-column:auto/span 15}.panel-grid .g-col-16{grid-column:auto/span 16}.panel-grid .g-col-17{grid-column:auto/span 17}.panel-grid .g-col-18{grid-column:auto/span 18}.panel-grid .g-col-19{grid-column:auto/span 19}.panel-grid .g-col-20{grid-column:auto/span 20}.panel-grid .g-col-21{grid-column:auto/span 21}.panel-grid .g-col-22{grid-column:auto/span 22}.panel-grid .g-col-23{grid-column:auto/span 23}.panel-grid .g-col-24{grid-column:auto/span 24}.panel-grid .g-start-1{grid-column-start:1}.panel-grid .g-start-2{grid-column-start:2}.panel-grid .g-start-3{grid-column-start:3}.panel-grid .g-start-4{grid-column-start:4}.panel-grid .g-start-5{grid-column-start:5}.panel-grid .g-start-6{grid-column-start:6}.panel-grid .g-start-7{grid-column-start:7}.panel-grid .g-start-8{grid-column-start:8}.panel-grid .g-start-9{grid-column-start:9}.panel-grid .g-start-10{grid-column-start:10}.panel-grid .g-start-11{grid-column-start:11}.panel-grid .g-start-12{grid-column-start:12}.panel-grid .g-start-13{grid-column-start:13}.panel-grid .g-start-14{grid-column-start:14}.panel-grid .g-start-15{grid-column-start:15}.panel-grid .g-start-16{grid-column-start:16}.panel-grid .g-start-17{grid-column-start:17}.panel-grid .g-start-18{grid-column-start:18}.panel-grid .g-start-19{grid-column-start:19}.panel-grid .g-start-20{grid-column-start:20}.panel-grid .g-start-21{grid-column-start:21}.panel-grid .g-start-22{grid-column-start:22}.panel-grid .g-start-23{grid-column-start:23}@media(min-width: 576px){.panel-grid .g-col-sm-1{grid-column:auto/span 1}.panel-grid .g-col-sm-2{grid-column:auto/span 2}.panel-grid .g-col-sm-3{grid-column:auto/span 3}.panel-grid .g-col-sm-4{grid-column:auto/span 4}.panel-grid .g-col-sm-5{grid-column:auto/span 5}.panel-grid .g-col-sm-6{grid-column:auto/span 6}.panel-grid .g-col-sm-7{grid-column:auto/span 7}.panel-grid .g-col-sm-8{grid-column:auto/span 8}.panel-grid .g-col-sm-9{grid-column:auto/span 9}.panel-grid .g-col-sm-10{grid-column:auto/span 10}.panel-grid .g-col-sm-11{grid-column:auto/span 11}.panel-grid .g-col-sm-12{grid-column:auto/span 12}.panel-grid .g-col-sm-13{grid-column:auto/span 13}.panel-grid .g-col-sm-14{grid-column:auto/span 14}.panel-grid .g-col-sm-15{grid-column:auto/span 15}.panel-grid .g-col-sm-16{grid-column:auto/span 16}.panel-grid .g-col-sm-17{grid-column:auto/span 17}.panel-grid .g-col-sm-18{grid-column:auto/span 18}.panel-grid .g-col-sm-19{grid-column:auto/span 19}.panel-grid .g-col-sm-20{grid-column:auto/span 20}.panel-grid .g-col-sm-21{grid-column:auto/span 21}.panel-grid .g-col-sm-22{grid-column:auto/span 22}.panel-grid .g-col-sm-23{grid-column:auto/span 23}.panel-grid .g-col-sm-24{grid-column:auto/span 24}.panel-grid .g-start-sm-1{grid-column-start:1}.panel-grid .g-start-sm-2{grid-column-start:2}.panel-grid .g-start-sm-3{grid-column-start:3}.panel-grid .g-start-sm-4{grid-column-start:4}.panel-grid .g-start-sm-5{grid-column-start:5}.panel-grid .g-start-sm-6{grid-column-start:6}.panel-grid .g-start-sm-7{grid-column-start:7}.panel-grid .g-start-sm-8{grid-column-start:8}.panel-grid .g-start-sm-9{grid-column-start:9}.panel-grid .g-start-sm-10{grid-column-start:10}.panel-grid .g-start-sm-11{grid-column-start:11}.panel-grid .g-start-sm-12{grid-column-start:12}.panel-grid .g-start-sm-13{grid-column-start:13}.panel-grid .g-start-sm-14{grid-column-start:14}.panel-grid .g-start-sm-15{grid-column-start:15}.panel-grid .g-start-sm-16{grid-column-start:16}.panel-grid .g-start-sm-17{grid-column-start:17}.panel-grid .g-start-sm-18{grid-column-start:18}.panel-grid .g-start-sm-19{grid-column-start:19}.panel-grid .g-start-sm-20{grid-column-start:20}.panel-grid .g-start-sm-21{grid-column-start:21}.panel-grid .g-start-sm-22{grid-column-start:22}.panel-grid .g-start-sm-23{grid-column-start:23}}@media(min-width: 768px){.panel-grid .g-col-md-1{grid-column:auto/span 1}.panel-grid .g-col-md-2{grid-column:auto/span 2}.panel-grid .g-col-md-3{grid-column:auto/span 3}.panel-grid .g-col-md-4{grid-column:auto/span 4}.panel-grid .g-col-md-5{grid-column:auto/span 5}.panel-grid .g-col-md-6{grid-column:auto/span 6}.panel-grid .g-col-md-7{grid-column:auto/span 7}.panel-grid .g-col-md-8{grid-column:auto/span 8}.panel-grid .g-col-md-9{grid-column:auto/span 9}.panel-grid .g-col-md-10{grid-column:auto/span 10}.panel-grid .g-col-md-11{grid-column:auto/span 11}.panel-grid .g-col-md-12{grid-column:auto/span 12}.panel-grid .g-col-md-13{grid-column:auto/span 13}.panel-grid .g-col-md-14{grid-column:auto/span 14}.panel-grid .g-col-md-15{grid-column:auto/span 15}.panel-grid .g-col-md-16{grid-column:auto/span 16}.panel-grid .g-col-md-17{grid-column:auto/span 17}.panel-grid .g-col-md-18{grid-column:auto/span 18}.panel-grid .g-col-md-19{grid-column:auto/span 19}.panel-grid .g-col-md-20{grid-column:auto/span 20}.panel-grid .g-col-md-21{grid-column:auto/span 21}.panel-grid .g-col-md-22{grid-column:auto/span 22}.panel-grid .g-col-md-23{grid-column:auto/span 23}.panel-grid .g-col-md-24{grid-column:auto/span 24}.panel-grid .g-start-md-1{grid-column-start:1}.panel-grid .g-start-md-2{grid-column-start:2}.panel-grid .g-start-md-3{grid-column-start:3}.panel-grid .g-start-md-4{grid-column-start:4}.panel-grid .g-start-md-5{grid-column-start:5}.panel-grid .g-start-md-6{grid-column-start:6}.panel-grid .g-start-md-7{grid-column-start:7}.panel-grid .g-start-md-8{grid-column-start:8}.panel-grid .g-start-md-9{grid-column-start:9}.panel-grid .g-start-md-10{grid-column-start:10}.panel-grid .g-start-md-11{grid-column-start:11}.panel-grid .g-start-md-12{grid-column-start:12}.panel-grid .g-start-md-13{grid-column-start:13}.panel-grid .g-start-md-14{grid-column-start:14}.panel-grid .g-start-md-15{grid-column-start:15}.panel-grid .g-start-md-16{grid-column-start:16}.panel-grid .g-start-md-17{grid-column-start:17}.panel-grid .g-start-md-18{grid-column-start:18}.panel-grid .g-start-md-19{grid-column-start:19}.panel-grid .g-start-md-20{grid-column-start:20}.panel-grid .g-start-md-21{grid-column-start:21}.panel-grid .g-start-md-22{grid-column-start:22}.panel-grid .g-start-md-23{grid-column-start:23}}@media(min-width: 992px){.panel-grid .g-col-lg-1{grid-column:auto/span 1}.panel-grid .g-col-lg-2{grid-column:auto/span 2}.panel-grid .g-col-lg-3{grid-column:auto/span 3}.panel-grid .g-col-lg-4{grid-column:auto/span 4}.panel-grid .g-col-lg-5{grid-column:auto/span 5}.panel-grid .g-col-lg-6{grid-column:auto/span 6}.panel-grid .g-col-lg-7{grid-column:auto/span 7}.panel-grid .g-col-lg-8{grid-column:auto/span 8}.panel-grid .g-col-lg-9{grid-column:auto/span 9}.panel-grid .g-col-lg-10{grid-column:auto/span 10}.panel-grid .g-col-lg-11{grid-column:auto/span 11}.panel-grid .g-col-lg-12{grid-column:auto/span 12}.panel-grid .g-col-lg-13{grid-column:auto/span 13}.panel-grid .g-col-lg-14{grid-column:auto/span 14}.panel-grid .g-col-lg-15{grid-column:auto/span 15}.panel-grid .g-col-lg-16{grid-column:auto/span 16}.panel-grid .g-col-lg-17{grid-column:auto/span 17}.panel-grid .g-col-lg-18{grid-column:auto/span 18}.panel-grid .g-col-lg-19{grid-column:auto/span 19}.panel-grid .g-col-lg-20{grid-column:auto/span 20}.panel-grid .g-col-lg-21{grid-column:auto/span 21}.panel-grid .g-col-lg-22{grid-column:auto/span 22}.panel-grid .g-col-lg-23{grid-column:auto/span 23}.panel-grid .g-col-lg-24{grid-column:auto/span 24}.panel-grid .g-start-lg-1{grid-column-start:1}.panel-grid .g-start-lg-2{grid-column-start:2}.panel-grid .g-start-lg-3{grid-column-start:3}.panel-grid .g-start-lg-4{grid-column-start:4}.panel-grid .g-start-lg-5{grid-column-start:5}.panel-grid .g-start-lg-6{grid-column-start:6}.panel-grid .g-start-lg-7{grid-column-start:7}.panel-grid .g-start-lg-8{grid-column-start:8}.panel-grid .g-start-lg-9{grid-column-start:9}.panel-grid .g-start-lg-10{grid-column-start:10}.panel-grid .g-start-lg-11{grid-column-start:11}.panel-grid .g-start-lg-12{grid-column-start:12}.panel-grid .g-start-lg-13{grid-column-start:13}.panel-grid .g-start-lg-14{grid-column-start:14}.panel-grid .g-start-lg-15{grid-column-start:15}.panel-grid .g-start-lg-16{grid-column-start:16}.panel-grid .g-start-lg-17{grid-column-start:17}.panel-grid .g-start-lg-18{grid-column-start:18}.panel-grid .g-start-lg-19{grid-column-start:19}.panel-grid .g-start-lg-20{grid-column-start:20}.panel-grid .g-start-lg-21{grid-column-start:21}.panel-grid .g-start-lg-22{grid-column-start:22}.panel-grid .g-start-lg-23{grid-column-start:23}}@media(min-width: 1200px){.panel-grid .g-col-xl-1{grid-column:auto/span 1}.panel-grid .g-col-xl-2{grid-column:auto/span 2}.panel-grid .g-col-xl-3{grid-column:auto/span 3}.panel-grid .g-col-xl-4{grid-column:auto/span 4}.panel-grid .g-col-xl-5{grid-column:auto/span 5}.panel-grid .g-col-xl-6{grid-column:auto/span 6}.panel-grid .g-col-xl-7{grid-column:auto/span 7}.panel-grid .g-col-xl-8{grid-column:auto/span 8}.panel-grid .g-col-xl-9{grid-column:auto/span 9}.panel-grid .g-col-xl-10{grid-column:auto/span 10}.panel-grid .g-col-xl-11{grid-column:auto/span 11}.panel-grid .g-col-xl-12{grid-column:auto/span 12}.panel-grid .g-col-xl-13{grid-column:auto/span 13}.panel-grid .g-col-xl-14{grid-column:auto/span 14}.panel-grid .g-col-xl-15{grid-column:auto/span 15}.panel-grid .g-col-xl-16{grid-column:auto/span 16}.panel-grid .g-col-xl-17{grid-column:auto/span 17}.panel-grid .g-col-xl-18{grid-column:auto/span 18}.panel-grid .g-col-xl-19{grid-column:auto/span 19}.panel-grid .g-col-xl-20{grid-column:auto/span 20}.panel-grid .g-col-xl-21{grid-column:auto/span 21}.panel-grid .g-col-xl-22{grid-column:auto/span 22}.panel-grid .g-col-xl-23{grid-column:auto/span 23}.panel-grid .g-col-xl-24{grid-column:auto/span 24}.panel-grid .g-start-xl-1{grid-column-start:1}.panel-grid .g-start-xl-2{grid-column-start:2}.panel-grid .g-start-xl-3{grid-column-start:3}.panel-grid .g-start-xl-4{grid-column-start:4}.panel-grid .g-start-xl-5{grid-column-start:5}.panel-grid .g-start-xl-6{grid-column-start:6}.panel-grid .g-start-xl-7{grid-column-start:7}.panel-grid .g-start-xl-8{grid-column-start:8}.panel-grid .g-start-xl-9{grid-column-start:9}.panel-grid .g-start-xl-10{grid-column-start:10}.panel-grid .g-start-xl-11{grid-column-start:11}.panel-grid .g-start-xl-12{grid-column-start:12}.panel-grid .g-start-xl-13{grid-column-start:13}.panel-grid .g-start-xl-14{grid-column-start:14}.panel-grid .g-start-xl-15{grid-column-start:15}.panel-grid .g-start-xl-16{grid-column-start:16}.panel-grid .g-start-xl-17{grid-column-start:17}.panel-grid .g-start-xl-18{grid-column-start:18}.panel-grid .g-start-xl-19{grid-column-start:19}.panel-grid .g-start-xl-20{grid-column-start:20}.panel-grid .g-start-xl-21{grid-column-start:21}.panel-grid .g-start-xl-22{grid-column-start:22}.panel-grid .g-start-xl-23{grid-column-start:23}}@media(min-width: 1400px){.panel-grid .g-col-xxl-1{grid-column:auto/span 1}.panel-grid .g-col-xxl-2{grid-column:auto/span 2}.panel-grid .g-col-xxl-3{grid-column:auto/span 3}.panel-grid .g-col-xxl-4{grid-column:auto/span 4}.panel-grid .g-col-xxl-5{grid-column:auto/span 5}.panel-grid .g-col-xxl-6{grid-column:auto/span 6}.panel-grid .g-col-xxl-7{grid-column:auto/span 7}.panel-grid .g-col-xxl-8{grid-column:auto/span 8}.panel-grid .g-col-xxl-9{grid-column:auto/span 9}.panel-grid .g-col-xxl-10{grid-column:auto/span 10}.panel-grid .g-col-xxl-11{grid-column:auto/span 11}.panel-grid .g-col-xxl-12{grid-column:auto/span 12}.panel-grid .g-col-xxl-13{grid-column:auto/span 13}.panel-grid .g-col-xxl-14{grid-column:auto/span 14}.panel-grid .g-col-xxl-15{grid-column:auto/span 15}.panel-grid .g-col-xxl-16{grid-column:auto/span 16}.panel-grid .g-col-xxl-17{grid-column:auto/span 17}.panel-grid .g-col-xxl-18{grid-column:auto/span 18}.panel-grid .g-col-xxl-19{grid-column:auto/span 19}.panel-grid .g-col-xxl-20{grid-column:auto/span 20}.panel-grid .g-col-xxl-21{grid-column:auto/span 21}.panel-grid .g-col-xxl-22{grid-column:auto/span 22}.panel-grid .g-col-xxl-23{grid-column:auto/span 23}.panel-grid .g-col-xxl-24{grid-column:auto/span 24}.panel-grid .g-start-xxl-1{grid-column-start:1}.panel-grid .g-start-xxl-2{grid-column-start:2}.panel-grid .g-start-xxl-3{grid-column-start:3}.panel-grid .g-start-xxl-4{grid-column-start:4}.panel-grid .g-start-xxl-5{grid-column-start:5}.panel-grid .g-start-xxl-6{grid-column-start:6}.panel-grid .g-start-xxl-7{grid-column-start:7}.panel-grid .g-start-xxl-8{grid-column-start:8}.panel-grid .g-start-xxl-9{grid-column-start:9}.panel-grid .g-start-xxl-10{grid-column-start:10}.panel-grid .g-start-xxl-11{grid-column-start:11}.panel-grid .g-start-xxl-12{grid-column-start:12}.panel-grid .g-start-xxl-13{grid-column-start:13}.panel-grid .g-start-xxl-14{grid-column-start:14}.panel-grid .g-start-xxl-15{grid-column-start:15}.panel-grid .g-start-xxl-16{grid-column-start:16}.panel-grid .g-start-xxl-17{grid-column-start:17}.panel-grid .g-start-xxl-18{grid-column-start:18}.panel-grid .g-start-xxl-19{grid-column-start:19}.panel-grid .g-start-xxl-20{grid-column-start:20}.panel-grid .g-start-xxl-21{grid-column-start:21}.panel-grid .g-start-xxl-22{grid-column-start:22}.panel-grid .g-start-xxl-23{grid-column-start:23}}main{margin-top:1em;margin-bottom:1em}h1,.h1,h2,.h2{margin-top:2rem;margin-bottom:1rem}h1.title,.title.h1{margin-top:0}h2,.h2{border-bottom:1px solid rgba(0,0,0,.05);padding-bottom:.5rem}h3,.h3,h4,.h4{margin-top:1.5rem}.header-section-number{color:#94999c}.nav-link.active .header-section-number{color:inherit}mark,.mark{padding:0em}.panel-caption,caption,.figure-caption{font-size:1rem}.panel-caption,.figure-caption,figcaption{color:#94999c}.table-caption,caption{color:#55595c}.quarto-layout-cell[data-ref-parent] caption{color:#94999c}.column-margin figcaption,.margin-caption,div.aside,aside,.column-margin{color:#94999c;font-size:.825rem}.panel-caption.margin-caption{text-align:inherit}.column-margin.column-container p{margin-bottom:0}.column-margin.column-container>*:not(.collapse){padding-top:.5em;padding-bottom:.5em;display:block}.column-margin.column-container>*.collapse:not(.show){display:none}@media(min-width: 768px){.column-margin.column-container .callout-margin-content:first-child{margin-top:4.5em}.column-margin.column-container .callout-margin-content-simple:first-child{margin-top:3.5em}}.margin-caption>*{padding-top:.5em;padding-bottom:.5em}@media(max-width: 767.98px){.quarto-layout-row{flex-direction:column}}.tab-content{margin-top:0px;border-left:#dee2e6 1px solid;border-right:#dee2e6 1px solid;border-bottom:#dee2e6 1px solid;margin-left:0;padding:1em;margin-bottom:1em}@media(max-width: 767.98px){.layout-sidebar{margin-left:0;margin-right:0}}.panel-sidebar,.panel-sidebar .form-control,.panel-input,.panel-input .form-control,.selectize-dropdown{font-size:.9rem}.panel-sidebar .form-control,.panel-input .form-control{padding-top:.1rem}.tab-pane div.sourceCode{margin-top:0px}.tab-pane>p{padding-top:1em}.tab-content>.tab-pane:not(.active){display:none !important}div.sourceCode{background-color:rgba(247,247,249,.65);border:1px solid rgba(247,247,249,.65);border-radius:.25rem}pre.sourceCode{background-color:transparent}pre.sourceCode{border:none;font-size:.875em;overflow:visible !important;padding:.4em}.callout pre.sourceCode{padding-left:0}div.sourceCode{overflow-y:hidden}.callout div.sourceCode{margin-left:initial}.blockquote{font-size:inherit;padding-left:1rem;padding-right:1.5rem;color:#94999c}.blockquote h1:first-child,.blockquote .h1:first-child,.blockquote h2:first-child,.blockquote .h2:first-child,.blockquote h3:first-child,.blockquote .h3:first-child,.blockquote h4:first-child,.blockquote .h4:first-child,.blockquote h5:first-child,.blockquote .h5:first-child{margin-top:0}pre{background-color:initial;padding:initial;border:initial}p code:not(.sourceCode),li code:not(.sourceCode){background-color:#f8f8f8;padding:.2em}nav p code:not(.sourceCode),nav li code:not(.sourceCode){background-color:transparent;padding:0}#quarto-embedded-source-code-modal>.modal-dialog{max-width:1000px;padding-left:1.75rem;padding-right:1.75rem}#quarto-embedded-source-code-modal>.modal-dialog>.modal-content>.modal-body{padding:0}#quarto-embedded-source-code-modal>.modal-dialog>.modal-content>.modal-body div.sourceCode{margin:0;padding:.2rem .2rem;border-radius:0px;border:none}#quarto-embedded-source-code-modal>.modal-dialog>.modal-content>.modal-header{padding:.7rem}.code-tools-button{font-size:1rem;padding:.15rem .15rem;margin-left:5px;color:#6c757d;background-color:transparent;transition:initial;cursor:pointer}.code-tools-button>.bi::before{display:inline-block;height:1rem;width:1rem;content:"";vertical-align:-0.125em;background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgb(108, 117, 125)" viewBox="0 0 16 16"><path d="M10.478 1.647a.5.5 0 1 0-.956-.294l-4 13a.5.5 0 0 0 .956.294l4-13zM4.854 4.146a.5.5 0 0 1 0 .708L1.707 8l3.147 3.146a.5.5 0 0 1-.708.708l-3.5-3.5a.5.5 0 0 1 0-.708l3.5-3.5a.5.5 0 0 1 .708 0zm6.292 0a.5.5 0 0 0 0 .708L14.293 8l-3.147 3.146a.5.5 0 0 0 .708.708l3.5-3.5a.5.5 0 0 0 0-.708l-3.5-3.5a.5.5 0 0 0-.708 0z"/></svg>');background-repeat:no-repeat;background-size:1rem 1rem}.code-tools-button:hover>.bi::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgb(85, 89, 92)" viewBox="0 0 16 16"><path d="M10.478 1.647a.5.5 0 1 0-.956-.294l-4 13a.5.5 0 0 0 .956.294l4-13zM4.854 4.146a.5.5 0 0 1 0 .708L1.707 8l3.147 3.146a.5.5 0 0 1-.708.708l-3.5-3.5a.5.5 0 0 1 0-.708l3.5-3.5a.5.5 0 0 1 .708 0zm6.292 0a.5.5 0 0 0 0 .708L14.293 8l-3.147 3.146a.5.5 0 0 0 .708.708l3.5-3.5a.5.5 0 0 0 0-.708l-3.5-3.5a.5.5 0 0 0-.708 0z"/></svg>')}#quarto-embedded-source-code-modal .code-copy-button>.bi::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgb(108, 117, 125)" viewBox="0 0 16 16"><path d="M4 1.5H3a2 2 0 0 0-2 2V14a2 2 0 0 0 2 2h10a2 2 0 0 0 2-2V3.5a2 2 0 0 0-2-2h-1v1h1a1 1 0 0 1 1 1V14a1 1 0 0 1-1 1H3a1 1 0 0 1-1-1V3.5a1 1 0 0 1 1-1h1v-1z"/><path d="M9.5 1a.5.5 0 0 1 .5.5v1a.5.5 0 0 1-.5.5h-3a.5.5 0 0 1-.5-.5v-1a.5.5 0 0 1 .5-.5h3zm-3-1A1.5 1.5 0 0 0 5 1.5v1A1.5 1.5 0 0 0 6.5 4h3A1.5 1.5 0 0 0 11 2.5v-1A1.5 1.5 0 0 0 9.5 0h-3z"/></svg>')}#quarto-embedded-source-code-modal .code-copy-button-checked>.bi::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgb(108, 117, 125)" viewBox="0 0 16 16"><path d="M13.854 3.646a.5.5 0 0 1 0 .708l-7 7a.5.5 0 0 1-.708 0l-3.5-3.5a.5.5 0 1 1 .708-.708L6.5 10.293l6.646-6.647a.5.5 0 0 1 .708 0z"/></svg>')}.sidebar{will-change:top;transition:top 200ms linear;position:sticky;overflow-y:auto;padding-top:1.2em;max-height:100vh}.sidebar.toc-left,.sidebar.margin-sidebar{top:0px;padding-top:1em}.sidebar.toc-left>*,.sidebar.margin-sidebar>*{padding-top:.5em}.sidebar.quarto-banner-title-block-sidebar>*{padding-top:1.65em}.sidebar nav[role=doc-toc]>h2,.sidebar nav[role=doc-toc]>.h2{font-size:.875rem;font-weight:400;margin-bottom:.5rem;margin-top:.3rem;font-family:inherit;border-bottom:0;padding-bottom:0;padding-top:0px}.sidebar nav[role=doc-toc]>ul a{border-left:1px solid #f7f7f9;padding-left:.6rem}.sidebar nav[role=doc-toc]>ul a:empty{display:none}.sidebar nav[role=doc-toc] ul{padding-left:0;list-style:none;font-size:.875rem;font-weight:300}.sidebar nav[role=doc-toc]>ul li a{line-height:1.1rem;padding-bottom:.2rem;padding-top:.2rem;color:inherit}.sidebar nav[role=doc-toc] ul>li>ul>li>a{padding-left:1.2em}.sidebar nav[role=doc-toc] ul>li>ul>li>ul>li>a{padding-left:2.4em}.sidebar nav[role=doc-toc] ul>li>ul>li>ul>li>ul>li>a{padding-left:3.6em}.sidebar nav[role=doc-toc] ul>li>ul>li>ul>li>ul>li>ul>li>a{padding-left:4.8em}.sidebar nav[role=doc-toc] ul>li>ul>li>ul>li>ul>li>ul>li>ul>li>a{padding-left:6em}.sidebar nav[role=doc-toc] ul>li>ul>li>a.active{border-left:1px solid #1a1a1a;color:#1a1a1a !important}.sidebar nav[role=doc-toc] ul>li>a.active{border-left:1px solid #1a1a1a;color:#1a1a1a !important}kbd,.kbd{color:#55595c;background-color:#f8f9fa;border:1px solid;border-radius:5px;border-color:rgba(0,0,0,.05)}div.hanging-indent{margin-left:1em;text-indent:-1em}.citation a,.footnote-ref{text-decoration:none}.footnotes ol{padding-left:1em}.tippy-content>*{margin-bottom:.7em}.tippy-content>*:last-child{margin-bottom:0}.table a{word-break:break-word}.table>:not(:first-child){border-top-width:1px;border-top-color:rgba(0,0,0,.05)}.table>thead{border-bottom:1px solid currentColor}.table>tbody{border-top:1px solid rgba(0,0,0,.05)}.callout{margin-top:1.25rem;margin-bottom:1.25rem;border-radius:.25rem}.callout.callout-style-simple{padding:.4em .7em;border-left:5px solid;border-right:1px solid rgba(0,0,0,.05);border-top:1px solid rgba(0,0,0,.05);border-bottom:1px solid rgba(0,0,0,.05)}.callout.callout-style-default{border-left:5px solid;border-right:1px solid rgba(0,0,0,.05);border-top:1px solid rgba(0,0,0,.05);border-bottom:1px solid rgba(0,0,0,.05)}.callout .callout-body-container{flex-grow:1}.callout.callout-style-simple .callout-body{font-size:.9rem;font-weight:400}.callout.callout-style-default .callout-body{font-size:.9rem;font-weight:400}.callout.callout-captioned .callout-body{margin-top:.2em}.callout:not(.no-icon).callout-captioned.callout-style-simple .callout-body{padding-left:1.6em}.callout.callout-captioned>.callout-header{padding-top:.2em;margin-bottom:-0.2em}.callout.callout-style-simple>div.callout-header{border-bottom:none;font-size:.9rem;font-weight:600;opacity:75%}.callout.callout-style-default>div.callout-header{border-bottom:none;font-weight:600;opacity:85%;font-size:.9rem;padding-left:.5em;padding-right:.5em}.callout.callout-style-default div.callout-body{padding-left:.5em;padding-right:.5em}.callout.callout-style-default div.callout-body>:first-child{margin-top:.5em}.callout>div.callout-header[data-bs-toggle=collapse]{cursor:pointer}.callout.callout-style-default .callout-header[aria-expanded=false],.callout.callout-style-default .callout-header[aria-expanded=true]{padding-top:0px;margin-bottom:0px;align-items:center}.callout.callout-captioned .callout-body>:last-child:not(.sourceCode),.callout.callout-captioned .callout-body>div>:last-child:not(.sourceCode){margin-bottom:.5rem}.callout:not(.callout-captioned) .callout-body>:first-child,.callout:not(.callout-captioned) .callout-body>div>:first-child{margin-top:.25rem}.callout:not(.callout-captioned) .callout-body>:last-child,.callout:not(.callout-captioned) .callout-body>div>:last-child{margin-bottom:.2rem}.callout.callout-style-simple .callout-icon::before,.callout.callout-style-simple .callout-toggle::before{height:1rem;width:1rem;display:inline-block;content:"";background-repeat:no-repeat;background-size:1rem 1rem}.callout.callout-style-default .callout-icon::before,.callout.callout-style-default .callout-toggle::before{height:.9rem;width:.9rem;display:inline-block;content:"";background-repeat:no-repeat;background-size:.9rem .9rem}.callout.callout-style-default .callout-toggle::before{margin-top:5px}.callout .callout-btn-toggle .callout-toggle::before{transition:transform .2s linear}.callout .callout-header[aria-expanded=false] .callout-toggle::before{transform:rotate(-90deg)}.callout .callout-header[aria-expanded=true] .callout-toggle::before{transform:none}.callout.callout-style-simple:not(.no-icon) div.callout-icon-container{padding-top:.2em;padding-right:.55em}.callout.callout-style-default:not(.no-icon) div.callout-icon-container{padding-top:.1em;padding-right:.35em}.callout.callout-style-default:not(.no-icon) div.callout-caption-container{margin-top:-1px}.callout.callout-style-default.callout-caution:not(.no-icon) div.callout-icon-container{padding-top:.3em;padding-right:.35em}.callout>.callout-body>.callout-icon-container>.no-icon,.callout>.callout-header>.callout-icon-container>.no-icon{display:none}div.callout.callout{border-left-color:#6c757d}div.callout.callout-style-default>.callout-header{background-color:#6c757d}div.callout-note.callout{border-left-color:#007bff}div.callout-note.callout-style-default>.callout-header{background-color:#e6f2ff}div.callout-note:not(.callout-captioned) .callout-icon::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" style="fill: %23006fe6" class="bi bi-info-circle" viewBox="0 0 16 16"><path d="M8 15A7 7 0 1 1 8 1a7 7 0 0 1 0 14zm0 1A8 8 0 1 0 8 0a8 8 0 0 0 0 16z"/><path d="m8.93 6.588-2.29.287-.082.38.45.083c.294.07.352.176.288.469l-.738 3.468c-.194.897.105 1.319.808 1.319.545 0 1.178-.252 1.465-.598l.088-.416c-.2.176-.492.246-.686.246-.275 0-.375-.193-.304-.533L8.93 6.588zM9 4.5a1 1 0 1 1-2 0 1 1 0 0 1 2 0z"/></svg>');}div.callout-note.callout-captioned .callout-icon::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" style="fill: %23006fe6" class="bi bi-info-circle" viewBox="0 0 16 16"><path d="M8 15A7 7 0 1 1 8 1a7 7 0 0 1 0 14zm0 1A8 8 0 1 0 8 0a8 8 0 0 0 0 16z"/><path d="m8.93 6.588-2.29.287-.082.38.45.083c.294.07.352.176.288.469l-.738 3.468c-.194.897.105 1.319.808 1.319.545 0 1.178-.252 1.465-.598l.088-.416c-.2.176-.492.246-.686.246-.275 0-.375-.193-.304-.533L8.93 6.588zM9 4.5a1 1 0 1 1-2 0 1 1 0 0 1 2 0z"/></svg>');}div.callout-note .callout-toggle::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgb(85, 89, 92)" class="bi bi-chevron-down" viewBox="0 0 16 16"><path fill-rule="evenodd" d="M1.646 4.646a.5.5 0 0 1 .708 0L8 10.293l5.646-5.647a.5.5 0 0 1 .708.708l-6 6a.5.5 0 0 1-.708 0l-6-6a.5.5 0 0 1 0-.708z"/></svg>')}div.callout-tip.callout{border-left-color:#4bbf73}div.callout-tip.callout-style-default>.callout-header{background-color:#edf9f1}div.callout-tip:not(.callout-captioned) .callout-icon::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" style="fill: %2344ac68" class="bi bi-lightbulb" viewBox="0 0 16 16"><path d="M2 6a6 6 0 1 1 10.174 4.31c-.203.196-.359.4-.453.619l-.762 1.769A.5.5 0 0 1 10.5 13a.5.5 0 0 1 0 1 .5.5 0 0 1 0 1l-.224.447a1 1 0 0 1-.894.553H6.618a1 1 0 0 1-.894-.553L5.5 15a.5.5 0 0 1 0-1 .5.5 0 0 1 0-1 .5.5 0 0 1-.46-.302l-.761-1.77a1.964 1.964 0 0 0-.453-.618A5.984 5.984 0 0 1 2 6zm6-5a5 5 0 0 0-3.479 8.592c.263.254.514.564.676.941L5.83 12h4.342l.632-1.467c.162-.377.413-.687.676-.941A5 5 0 0 0 8 1z"/></svg>');}div.callout-tip.callout-captioned .callout-icon::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" style="fill: %2344ac68" class="bi bi-lightbulb" viewBox="0 0 16 16"><path d="M2 6a6 6 0 1 1 10.174 4.31c-.203.196-.359.4-.453.619l-.762 1.769A.5.5 0 0 1 10.5 13a.5.5 0 0 1 0 1 .5.5 0 0 1 0 1l-.224.447a1 1 0 0 1-.894.553H6.618a1 1 0 0 1-.894-.553L5.5 15a.5.5 0 0 1 0-1 .5.5 0 0 1 0-1 .5.5 0 0 1-.46-.302l-.761-1.77a1.964 1.964 0 0 0-.453-.618A5.984 5.984 0 0 1 2 6zm6-5a5 5 0 0 0-3.479 8.592c.263.254.514.564.676.941L5.83 12h4.342l.632-1.467c.162-.377.413-.687.676-.941A5 5 0 0 0 8 1z"/></svg>');}div.callout-tip .callout-toggle::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgb(85, 89, 92)" class="bi bi-chevron-down" viewBox="0 0 16 16"><path fill-rule="evenodd" d="M1.646 4.646a.5.5 0 0 1 .708 0L8 10.293l5.646-5.647a.5.5 0 0 1 .708.708l-6 6a.5.5 0 0 1-.708 0l-6-6a.5.5 0 0 1 0-.708z"/></svg>')}div.callout-warning.callout{border-left-color:#f0ad4e}div.callout-warning.callout-style-default>.callout-header{background-color:#fef7ed}div.callout-warning:not(.callout-captioned) .callout-icon::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" style="fill: %23d89c46" class="bi bi-exclamation-triangle" viewBox="0 0 16 16"><path d="M7.938 2.016A.13.13 0 0 1 8.002 2a.13.13 0 0 1 .063.016.146.146 0 0 1 .054.057l6.857 11.667c.036.06.035.124.002.183a.163.163 0 0 1-.054.06.116.116 0 0 1-.066.017H1.146a.115.115 0 0 1-.066-.017.163.163 0 0 1-.054-.06.176.176 0 0 1 .002-.183L7.884 2.073a.147.147 0 0 1 .054-.057zm1.044-.45a1.13 1.13 0 0 0-1.96 0L.165 13.233c-.457.778.091 1.767.98 1.767h13.713c.889 0 1.438-.99.98-1.767L8.982 1.566z"/><path d="M7.002 12a1 1 0 1 1 2 0 1 1 0 0 1-2 0zM7.1 5.995a.905.905 0 1 1 1.8 0l-.35 3.507a.552.552 0 0 1-1.1 0L7.1 5.995z"/></svg>');}div.callout-warning.callout-captioned .callout-icon::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" style="fill: %23d89c46" class="bi bi-exclamation-triangle" viewBox="0 0 16 16"><path d="M7.938 2.016A.13.13 0 0 1 8.002 2a.13.13 0 0 1 .063.016.146.146 0 0 1 .054.057l6.857 11.667c.036.06.035.124.002.183a.163.163 0 0 1-.054.06.116.116 0 0 1-.066.017H1.146a.115.115 0 0 1-.066-.017.163.163 0 0 1-.054-.06.176.176 0 0 1 .002-.183L7.884 2.073a.147.147 0 0 1 .054-.057zm1.044-.45a1.13 1.13 0 0 0-1.96 0L.165 13.233c-.457.778.091 1.767.98 1.767h13.713c.889 0 1.438-.99.98-1.767L8.982 1.566z"/><path d="M7.002 12a1 1 0 1 1 2 0 1 1 0 0 1-2 0zM7.1 5.995a.905.905 0 1 1 1.8 0l-.35 3.507a.552.552 0 0 1-1.1 0L7.1 5.995z"/></svg>');}div.callout-warning .callout-toggle::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgb(85, 89, 92)" class="bi bi-chevron-down" viewBox="0 0 16 16"><path fill-rule="evenodd" d="M1.646 4.646a.5.5 0 0 1 .708 0L8 10.293l5.646-5.647a.5.5 0 0 1 .708.708l-6 6a.5.5 0 0 1-.708 0l-6-6a.5.5 0 0 1 0-.708z"/></svg>')}div.callout-caution.callout{border-left-color:#fd7e14}div.callout-caution.callout-style-default>.callout-header{background-color:#fff2e8}div.callout-caution:not(.callout-captioned) .callout-icon::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" style="fill: %23e47112" class="bi bi-cone-striped" viewBox="0 0 16 16"><path d="M9.97 4.88l.953 3.811C10.158 8.878 9.14 9 8 9c-1.14 0-2.159-.122-2.923-.309L6.03 4.88C6.635 4.957 7.3 5 8 5s1.365-.043 1.97-.12zm-.245-.978L8.97.88C8.718-.13 7.282-.13 7.03.88L6.274 3.9C6.8 3.965 7.382 4 8 4c.618 0 1.2-.036 1.725-.098zm4.396 8.613a.5.5 0 0 1 .037.96l-6 2a.5.5 0 0 1-.316 0l-6-2a.5.5 0 0 1 .037-.96l2.391-.598.565-2.257c.862.212 1.964.339 3.165.339s2.303-.127 3.165-.339l.565 2.257 2.391.598z"/></svg>');}div.callout-caution.callout-captioned .callout-icon::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" style="fill: %23e47112" class="bi bi-cone-striped" viewBox="0 0 16 16"><path d="M9.97 4.88l.953 3.811C10.158 8.878 9.14 9 8 9c-1.14 0-2.159-.122-2.923-.309L6.03 4.88C6.635 4.957 7.3 5 8 5s1.365-.043 1.97-.12zm-.245-.978L8.97.88C8.718-.13 7.282-.13 7.03.88L6.274 3.9C6.8 3.965 7.382 4 8 4c.618 0 1.2-.036 1.725-.098zm4.396 8.613a.5.5 0 0 1 .037.96l-6 2a.5.5 0 0 1-.316 0l-6-2a.5.5 0 0 1 .037-.96l2.391-.598.565-2.257c.862.212 1.964.339 3.165.339s2.303-.127 3.165-.339l.565 2.257 2.391.598z"/></svg>');}div.callout-caution .callout-toggle::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgb(85, 89, 92)" class="bi bi-chevron-down" viewBox="0 0 16 16"><path fill-rule="evenodd" d="M1.646 4.646a.5.5 0 0 1 .708 0L8 10.293l5.646-5.647a.5.5 0 0 1 .708.708l-6 6a.5.5 0 0 1-.708 0l-6-6a.5.5 0 0 1 0-.708z"/></svg>')}div.callout-important.callout{border-left-color:#d9534f}div.callout-important.callout-style-default>.callout-header{background-color:#fbeeed}div.callout-important:not(.callout-captioned) .callout-icon::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" style="fill: %23c34b47" class="bi bi-exclamation-circle" viewBox="0 0 16 16"><path d="M8 15A7 7 0 1 1 8 1a7 7 0 0 1 0 14zm0 1A8 8 0 1 0 8 0a8 8 0 0 0 0 16z"/><path d="M7.002 11a1 1 0 1 1 2 0 1 1 0 0 1-2 0zM7.1 4.995a.905.905 0 1 1 1.8 0l-.35 3.507a.552.552 0 0 1-1.1 0L7.1 4.995z"/></svg>');}div.callout-important.callout-captioned .callout-icon::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" style="fill: %23c34b47" class="bi bi-exclamation-circle" viewBox="0 0 16 16"><path d="M8 15A7 7 0 1 1 8 1a7 7 0 0 1 0 14zm0 1A8 8 0 1 0 8 0a8 8 0 0 0 0 16z"/><path d="M7.002 11a1 1 0 1 1 2 0 1 1 0 0 1-2 0zM7.1 4.995a.905.905 0 1 1 1.8 0l-.35 3.507a.552.552 0 0 1-1.1 0L7.1 4.995z"/></svg>');}div.callout-important .callout-toggle::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgb(85, 89, 92)" class="bi bi-chevron-down" viewBox="0 0 16 16"><path fill-rule="evenodd" d="M1.646 4.646a.5.5 0 0 1 .708 0L8 10.293l5.646-5.647a.5.5 0 0 1 .708.708l-6 6a.5.5 0 0 1-.708 0l-6-6a.5.5 0 0 1 0-.708z"/></svg>')}.quarto-toggle-container{display:flex;align-items:center}@media(min-width: 992px){.navbar .quarto-color-scheme-toggle{padding-left:.5rem;padding-right:.5rem}}@media(max-width: 767.98px){.navbar .quarto-color-scheme-toggle{padding-left:0;padding-right:0;padding-bottom:.5em}}.quarto-reader-toggle .bi::before,.quarto-color-scheme-toggle .bi::before{display:inline-block;height:1rem;width:1rem;content:"";background-repeat:no-repeat;background-size:1rem 1rem}.navbar-collapse .quarto-color-scheme-toggle{padding-left:.6rem;padding-right:0;margin-top:-12px}.sidebar-navigation{padding-left:20px}.sidebar-navigation .quarto-color-scheme-toggle .bi::before{padding-top:.2rem;margin-bottom:-0.2rem}.sidebar-tools-main .quarto-color-scheme-toggle .bi::before{padding-top:.2rem;margin-bottom:-0.2rem}.navbar .quarto-color-scheme-toggle .bi::before{padding-top:7px;margin-bottom:-7px;padding-left:2px;margin-right:2px}.navbar .quarto-color-scheme-toggle:not(.alternate) .bi::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgba(166, 166, 166, 1)" class="bi bi-toggle-off" viewBox="0 0 16 16"><path d="M11 4a4 4 0 0 1 0 8H8a4.992 4.992 0 0 0 2-4 4.992 4.992 0 0 0-2-4h3zm-6 8a4 4 0 1 1 0-8 4 4 0 0 1 0 8zM0 8a5 5 0 0 0 5 5h6a5 5 0 0 0 0-10H5a5 5 0 0 0-5 5z"/></svg>')}.navbar .quarto-color-scheme-toggle.alternate .bi::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgba(166, 166, 166, 1)" class="bi bi-toggle-on" viewBox="0 0 16 16"><path d="M5 3a5 5 0 0 0 0 10h6a5 5 0 0 0 0-10H5zm6 9a4 4 0 1 1 0-8 4 4 0 0 1 0 8z"/></svg>')}.sidebar-navigation .quarto-color-scheme-toggle:not(.alternate) .bi::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgba(109, 115, 119, 1)" class="bi bi-toggle-off" viewBox="0 0 16 16"><path d="M11 4a4 4 0 0 1 0 8H8a4.992 4.992 0 0 0 2-4 4.992 4.992 0 0 0-2-4h3zm-6 8a4 4 0 1 1 0-8 4 4 0 0 1 0 8zM0 8a5 5 0 0 0 5 5h6a5 5 0 0 0 0-10H5a5 5 0 0 0-5 5z"/></svg>')}.sidebar-navigation .quarto-color-scheme-toggle.alternate .bi::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgba(109, 115, 119, 1)" class="bi bi-toggle-on" viewBox="0 0 16 16"><path d="M5 3a5 5 0 0 0 0 10h6a5 5 0 0 0 0-10H5zm6 9a4 4 0 1 1 0-8 4 4 0 0 1 0 8z"/></svg>')}.quarto-sidebar-toggle{border-color:#dee2e6;border-bottom-left-radius:.25rem;border-bottom-right-radius:.25rem;border-style:solid;border-width:1px;overflow:hidden;border-top-width:0px;padding-top:0px !important}.quarto-sidebar-toggle-title{cursor:pointer;padding-bottom:2px;margin-left:.25em;text-align:center;font-weight:400;font-size:.775em}#quarto-content .quarto-sidebar-toggle{background:#fafafa}#quarto-content .quarto-sidebar-toggle-title{color:#55595c}.quarto-sidebar-toggle-icon{color:#dee2e6;margin-right:.5em;float:right;transition:transform .2s ease}.quarto-sidebar-toggle-icon::before{padding-top:5px}.quarto-sidebar-toggle.expanded .quarto-sidebar-toggle-icon{transform:rotate(-180deg)}.quarto-sidebar-toggle.expanded .quarto-sidebar-toggle-title{border-bottom:solid #dee2e6 1px}.quarto-sidebar-toggle-contents{background-color:#fff;padding-right:10px;padding-left:10px;margin-top:0px !important;transition:max-height .5s ease}.quarto-sidebar-toggle.expanded .quarto-sidebar-toggle-contents{padding-top:1em;padding-bottom:10px}.quarto-sidebar-toggle:not(.expanded) .quarto-sidebar-toggle-contents{padding-top:0px !important;padding-bottom:0px}nav[role=doc-toc]{z-index:1020}#quarto-sidebar>*,nav[role=doc-toc]>*{transition:opacity .1s ease,border .1s ease}#quarto-sidebar.slow>*,nav[role=doc-toc].slow>*{transition:opacity .4s ease,border .4s ease}.quarto-color-scheme-toggle:not(.alternate).top-right .bi::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgba(175, 178, 181, 1)" class="bi bi-toggle-off" viewBox="0 0 16 16"><path d="M11 4a4 4 0 0 1 0 8H8a4.992 4.992 0 0 0 2-4 4.992 4.992 0 0 0-2-4h3zm-6 8a4 4 0 1 1 0-8 4 4 0 0 1 0 8zM0 8a5 5 0 0 0 5 5h6a5 5 0 0 0 0-10H5a5 5 0 0 0-5 5z"/></svg>')}.quarto-color-scheme-toggle.alternate.top-right .bi::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgba(135, 140, 144, 1)" class="bi bi-toggle-on" viewBox="0 0 16 16"><path d="M5 3a5 5 0 0 0 0 10h6a5 5 0 0 0 0-10H5zm6 9a4 4 0 1 1 0-8 4 4 0 0 1 0 8z"/></svg>')}#quarto-appendix.default{border-top:1px solid #dee2e6}#quarto-appendix.default{background-color:#fff;padding-top:1.5em;margin-top:2em;z-index:998}#quarto-appendix.default .quarto-appendix-heading{margin-top:0;line-height:1.4em;font-weight:600;opacity:.9;border-bottom:none;margin-bottom:0}#quarto-appendix.default .footnotes ol,#quarto-appendix.default .footnotes ol li>p:last-of-type,#quarto-appendix.default .quarto-appendix-contents>p:last-of-type{margin-bottom:0}#quarto-appendix.default .quarto-appendix-secondary-label{margin-bottom:.4em}#quarto-appendix.default .quarto-appendix-bibtex{font-size:.7em;padding:1em;border:solid 1px #dee2e6;margin-bottom:1em}#quarto-appendix.default .quarto-appendix-bibtex code.sourceCode{white-space:pre-wrap}#quarto-appendix.default .quarto-appendix-citeas{font-size:.9em;padding:1em;border:solid 1px #dee2e6;margin-bottom:1em}#quarto-appendix.default .quarto-appendix-heading{font-size:1em !important}#quarto-appendix.default *[role=doc-endnotes]>ol,#quarto-appendix.default .quarto-appendix-contents>*:not(h2):not(.h2){font-size:.9em}#quarto-appendix.default section{padding-bottom:1.5em}#quarto-appendix.default section *[role=doc-endnotes],#quarto-appendix.default section>*:not(a){opacity:.9;word-wrap:break-word}.btn.btn-quarto,div.cell-output-display .btn-quarto{color:#595959;background-color:#fff;border-color:#fff}.btn.btn-quarto:hover,div.cell-output-display .btn-quarto:hover{color:#595959;background-color:#fff;border-color:#fff}.btn-check:focus+.btn.btn-quarto,.btn.btn-quarto:focus,.btn-check:focus+div.cell-output-display .btn-quarto,div.cell-output-display .btn-quarto:focus{color:#595959;background-color:#fff;border-color:#fff;box-shadow:0 0 0 .25rem rgba(230,230,230,.5)}.btn-check:checked+.btn.btn-quarto,.btn-check:active+.btn.btn-quarto,.btn.btn-quarto:active,.btn.btn-quarto.active,.show>.btn.btn-quarto.dropdown-toggle,.btn-check:checked+div.cell-output-display .btn-quarto,.btn-check:active+div.cell-output-display .btn-quarto,div.cell-output-display .btn-quarto:active,div.cell-output-display .btn-quarto.active,.show>div.cell-output-display .btn-quarto.dropdown-toggle{color:#000;background-color:#fff;border-color:#fff}.btn-check:checked+.btn.btn-quarto:focus,.btn-check:active+.btn.btn-quarto:focus,.btn.btn-quarto:active:focus,.btn.btn-quarto.active:focus,.show>.btn.btn-quarto.dropdown-toggle:focus,.btn-check:checked+div.cell-output-display .btn-quarto:focus,.btn-check:active+div.cell-output-display .btn-quarto:focus,div.cell-output-display .btn-quarto:active:focus,div.cell-output-display .btn-quarto.active:focus,.show>div.cell-output-display .btn-quarto.dropdown-toggle:focus{box-shadow:0 0 0 .25rem rgba(230,230,230,.5)}.btn.btn-quarto:disabled,.btn.btn-quarto.disabled,div.cell-output-display .btn-quarto:disabled,div.cell-output-display .btn-quarto.disabled{color:#000;background-color:#fff;border-color:#fff}nav.quarto-secondary-nav.color-navbar{background-color:#1a1a1a;color:#a6a6a6}nav.quarto-secondary-nav.color-navbar h1,nav.quarto-secondary-nav.color-navbar .h1,nav.quarto-secondary-nav.color-navbar .quarto-btn-toggle{color:#a6a6a6}@media(max-width: 991.98px){body.nav-sidebar .quarto-title-banner,body.nav-sidebar .quarto-title-banner{display:none}}p.subtitle{margin-top:.25em;margin-bottom:.5em}code a:any-link{color:inherit;text-decoration-color:#6c757d}/*! light */div.observablehq table thead tr th{background-color:var(--bs-body-bg)}input,button,select,optgroup,textarea{background-color:var(--bs-body-bg)}@media print{.page-columns .column-screen-inset{grid-column:page-start-inset/page-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset table{background:#fff}.page-columns .column-screen-inset-left{grid-column:page-start-inset/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset-left table{background:#fff}.page-columns .column-screen-inset-right{grid-column:body-content-start/page-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset-right table{background:#fff}.page-columns .column-screen{grid-column:page-start/page-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen table{background:#fff}.page-columns .column-screen-left{grid-column:page-start/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-left table{background:#fff}.page-columns .column-screen-right{grid-column:body-content-start/page-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-right table{background:#fff}.page-columns .column-screen-inset-shaded{grid-column:page-start-inset/page-end-inset;padding:1em;background:#fff;z-index:998;transform:translate3d(0, 0, 0);margin-bottom:1em}}.quarto-video{margin-bottom:1em}a.external:after{display:inline-block;height:.75rem;width:.75rem;margin-bottom:.15em;margin-left:.25em;content:"";vertical-align:-0.125em;background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgb(26, 26, 26)" class="bi bi-box-arrow-up-right" viewBox="0 0 16 16"><path fill-rule="evenodd" d="M8.636 3.5a.5.5 0 0 0-.5-.5H1.5A1.5 1.5 0 0 0 0 4.5v10A1.5 1.5 0 0 0 1.5 16h10a1.5 1.5 0 0 0 1.5-1.5V7.864a.5.5 0 0 0-1 0V14.5a.5.5 0 0 1-.5.5h-10a.5.5 0 0 1-.5-.5v-10a.5.5 0 0 1 .5-.5h6.636a.5.5 0 0 0 .5-.5z"/><path fill-rule="evenodd" d="M16 .5a.5.5 0 0 0-.5-.5h-5a.5.5 0 0 0 0 1h3.793L6.146 9.146a.5.5 0 1 0 .708.708L15 1.707V5.5a.5.5 0 0 0 1 0v-5z"/></svg>');background-repeat:no-repeat;background-size:.75rem .75rem}a.external:after:hover{cursor:pointer}.quarto-ext-icon{display:inline-block;font-size:.75em;padding-left:.3em}.code-with-filename .code-with-filename-file{margin-bottom:0;padding-bottom:2px;padding-top:2px;padding-left:.7em;border:var(--quarto-border-width) solid var(--quarto-border-color);border-radius:var(--quarto-border-radius);border-bottom:0;border-bottom-left-radius:0%;border-bottom-right-radius:0%}.code-with-filename div.sourceCode,.reveal .code-with-filename div.sourceCode{margin-top:0;border-top-left-radius:0%;border-top-right-radius:0%}.code-with-filename .code-with-filename-file pre{margin-bottom:0}.code-with-filename .code-with-filename-file,.code-with-filename .code-with-filename-file pre{background-color:rgba(219,219,219,.8)}.quarto-dark .code-with-filename .code-with-filename-file,.quarto-dark .code-with-filename .code-with-filename-file pre{background-color:#555}.code-with-filename .code-with-filename-file strong{font-weight:400}.quarto-title-banner{margin-bottom:1em;color:#a6a6a6;background:#1a1a1a}.quarto-title-banner .code-tools-button{color:#737373}.quarto-title-banner .code-tools-button:hover{color:#a6a6a6}.quarto-title-banner .code-tools-button>.bi::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgb(115, 115, 115)" viewBox="0 0 16 16"><path d="M10.478 1.647a.5.5 0 1 0-.956-.294l-4 13a.5.5 0 0 0 .956.294l4-13zM4.854 4.146a.5.5 0 0 1 0 .708L1.707 8l3.147 3.146a.5.5 0 0 1-.708.708l-3.5-3.5a.5.5 0 0 1 0-.708l3.5-3.5a.5.5 0 0 1 .708 0zm6.292 0a.5.5 0 0 0 0 .708L14.293 8l-3.147 3.146a.5.5 0 0 0 .708.708l3.5-3.5a.5.5 0 0 0 0-.708l-3.5-3.5a.5.5 0 0 0-.708 0z"/></svg>')}.quarto-title-banner .code-tools-button:hover>.bi::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgb(166, 166, 166)" viewBox="0 0 16 16"><path d="M10.478 1.647a.5.5 0 1 0-.956-.294l-4 13a.5.5 0 0 0 .956.294l4-13zM4.854 4.146a.5.5 0 0 1 0 .708L1.707 8l3.147 3.146a.5.5 0 0 1-.708.708l-3.5-3.5a.5.5 0 0 1 0-.708l3.5-3.5a.5.5 0 0 1 .708 0zm6.292 0a.5.5 0 0 0 0 .708L14.293 8l-3.147 3.146a.5.5 0 0 0 .708.708l3.5-3.5a.5.5 0 0 0 0-.708l-3.5-3.5a.5.5 0 0 0-.708 0z"/></svg>')}.quarto-title-banner .quarto-title .title{font-weight:600}.quarto-title-banner .quarto-categories{margin-top:.75em}@media(min-width: 992px){.quarto-title-banner{padding-top:2.5em;padding-bottom:2.5em}}@media(max-width: 991.98px){.quarto-title-banner{padding-top:1em;padding-bottom:1em}}main.quarto-banner-title-block section:first-of-type h2:first-of-type,main.quarto-banner-title-block section:first-of-type .h2:first-of-type,main.quarto-banner-title-block section:first-of-type h3:first-of-type,main.quarto-banner-title-block section:first-of-type .h3:first-of-type,main.quarto-banner-title-block section:first-of-type h4:first-of-type,main.quarto-banner-title-block section:first-of-type .h4:first-of-type{margin-top:0}.quarto-title .quarto-categories{display:flex;column-gap:.4em;padding-bottom:.5em;margin-top:.75em}.quarto-title .quarto-categories .quarto-category{padding:.25em .75em;font-size:.65em;text-transform:uppercase;border:solid 1px;border-radius:.25rem;opacity:.6}.quarto-title .quarto-categories .quarto-category a{color:inherit}#title-block-header.quarto-title-block.default .quarto-title-meta{display:grid;grid-template-columns:repeat(2, 1fr)}#title-block-header.quarto-title-block.default .quarto-title .title{margin-bottom:0}#title-block-header.quarto-title-block.default .quarto-title-author-orcid img{margin-top:-5px}#title-block-header.quarto-title-block.default .quarto-description p:last-of-type{margin-bottom:0}#title-block-header.quarto-title-block.default .quarto-title-meta-contents p,#title-block-header.quarto-title-block.default .quarto-title-authors p,#title-block-header.quarto-title-block.default .quarto-title-affiliations p{margin-bottom:.1em}#title-block-header.quarto-title-block.default .quarto-title-meta-heading{text-transform:uppercase;margin-top:1em;font-size:.8em;opacity:.8;font-weight:400}#title-block-header.quarto-title-block.default .quarto-title-meta-contents{font-size:.9em}#title-block-header.quarto-title-block.default .quarto-title-meta-contents a{color:#55595c}#title-block-header.quarto-title-block.default .quarto-title-meta-contents p.affiliation:last-of-type{margin-bottom:.7em}#title-block-header.quarto-title-block.default p.affiliation{margin-bottom:.1em}#title-block-header.quarto-title-block.default .description,#title-block-header.quarto-title-block.default .abstract{margin-top:0}#title-block-header.quarto-title-block.default .description>p,#title-block-header.quarto-title-block.default .abstract>p{font-size:.9em}#title-block-header.quarto-title-block.default .description>p:last-of-type,#title-block-header.quarto-title-block.default .abstract>p:last-of-type{margin-bottom:0}#title-block-header.quarto-title-block.default .description .abstract-title,#title-block-header.quarto-title-block.default .abstract .abstract-title{margin-top:1em;text-transform:uppercase;font-size:.8em;opacity:.8;font-weight:400}#title-block-header.quarto-title-block.default .quarto-title-meta-author{display:grid;grid-template-columns:1fr 1fr}.navbar{font-size:.875rem;text-transform:uppercase;font-weight:600}.navbar-nav .nav-link{padding-top:.715rem;padding-bottom:.715rem}.navbar-brand{margin-right:2rem}.bg-primary{background-color:theme-color("primary") !important}.bg-light{border:1px solid rgba(0,0,0,.1)}.bg-light.navbar-fixed-top{border-width:0 0 1px}.bg-light.navbar-bottom-top{border-width:1px 0 0}.nav-item{margin-right:2rem}.btn{font-size:.875rem;text-transform:uppercase}.btn-sm,.btn-group-sm>.btn{font-size:10px}.btn-warning,.btn-warning:hover,.btn-warning:not([disabled]):not(.disabled):active,.btn-warning:focus{color:#fff}.btn-outline-secondary{border-color:#6c757d;color:#6c757d}.btn-outline-secondary:not([disabled]):not(.disabled):hover,.btn-outline-secondary:not([disabled]):not(.disabled):focus,.btn-outline-secondary:not([disabled]):not(.disabled):active{background-color:#ced4da;border-color:#ced4da;color:#fff}.btn-outline-secondary:not([disabled]):not(.disabled):focus{box-shadow:0 0 0 .2rem rgba(206,212,218,.5)}[class*=btn-outline-]{border-width:2px}.border-secondary{border:1px solid #ced4da !important}body{font-weight:200;letter-spacing:1px}h1,.h1,h2,.h2,h3,.h3,h4,.h4,h5,.h5,h6,.h6{text-transform:uppercase;letter-spacing:3px}.text-secondary{color:#55595c !important}th{font-size:.875rem;text-transform:uppercase}.table th,.table td{padding:1.5rem}.table-sm th,.table-sm td{padding:.75rem}.dropdown-menu{font-size:.875rem;text-transform:none}.badge{padding-top:.28rem}.badge-pill{border-radius:10rem}.badge.bg-secondary,.badge.bg-light{color:#343a40}.list-group-item h1,.list-group-item h2,.list-group-item h3,.list-group-item h4,.list-group-item h5,.list-group-item h6,.list-group-item .h1,.list-group-item .h2,.list-group-item .h3,.list-group-item .h4,.list-group-item .h5,.list-group-item .h6{color:inherit}.card-title,.card-header{color:inherit}/*# sourceMappingURL=d532ff98e1ed4c48e4464457babb11e0.css.map */
+*/.ansi-black-fg{color:#3e424d}.ansi-black-bg{background-color:#3e424d}.ansi-black-intense-fg{color:#282c36}.ansi-black-intense-bg{background-color:#282c36}.ansi-red-fg{color:#e75c58}.ansi-red-bg{background-color:#e75c58}.ansi-red-intense-fg{color:#b22b31}.ansi-red-intense-bg{background-color:#b22b31}.ansi-green-fg{color:#00a250}.ansi-green-bg{background-color:#00a250}.ansi-green-intense-fg{color:#007427}.ansi-green-intense-bg{background-color:#007427}.ansi-yellow-fg{color:#ddb62b}.ansi-yellow-bg{background-color:#ddb62b}.ansi-yellow-intense-fg{color:#b27d12}.ansi-yellow-intense-bg{background-color:#b27d12}.ansi-blue-fg{color:#208ffb}.ansi-blue-bg{background-color:#208ffb}.ansi-blue-intense-fg{color:#0065ca}.ansi-blue-intense-bg{background-color:#0065ca}.ansi-magenta-fg{color:#d160c4}.ansi-magenta-bg{background-color:#d160c4}.ansi-magenta-intense-fg{color:#a03196}.ansi-magenta-intense-bg{background-color:#a03196}.ansi-cyan-fg{color:#60c6c8}.ansi-cyan-bg{background-color:#60c6c8}.ansi-cyan-intense-fg{color:#258f8f}.ansi-cyan-intense-bg{background-color:#258f8f}.ansi-white-fg{color:#c5c1b4}.ansi-white-bg{background-color:#c5c1b4}.ansi-white-intense-fg{color:#a1a6b2}.ansi-white-intense-bg{background-color:#a1a6b2}.ansi-default-inverse-fg{color:#fff}.ansi-default-inverse-bg{background-color:#000}.ansi-bold{font-weight:bold}.ansi-underline{text-decoration:underline}:root{--quarto-body-bg: #fff;--quarto-body-color: #55595c;--quarto-text-muted: #6c757d;--quarto-border-color: rgba(0, 0, 0, 0.05);--quarto-border-width: 1px;--quarto-border-radius: 0.25rem}table.gt_table{color:var(--quarto-body-color);font-size:1em;width:100%;background-color:transparent;border-top-width:inherit;border-bottom-width:inherit;border-color:var(--quarto-border-color)}table.gt_table th.gt_column_spanner_outer{color:var(--quarto-body-color);background-color:transparent;border-top-width:inherit;border-bottom-width:inherit;border-color:var(--quarto-border-color)}table.gt_table th.gt_col_heading{color:var(--quarto-body-color);font-weight:bold;background-color:transparent}table.gt_table thead.gt_col_headings{border-bottom:1px solid currentColor;border-top-width:inherit;border-top-color:var(--quarto-border-color)}table.gt_table thead.gt_col_headings:not(:first-child){border-top-width:1px;border-top-color:var(--quarto-border-color)}table.gt_table td.gt_row{border-bottom-width:1px;border-bottom-color:var(--quarto-border-color);border-top-width:0px}table.gt_table tbody.gt_table_body{border-top-width:1px;border-bottom-width:1px;border-bottom-color:var(--quarto-border-color);border-top-color:currentColor}div.columns{display:initial;gap:initial}div.column{display:inline-block;overflow-x:initial;vertical-align:top;width:50%}@media print{:root{font-size:11pt}#quarto-sidebar,#TOC,.nav-page{display:none}.page-columns .content{grid-column-start:page-start}.fixed-top{position:relative}.panel-caption,.figure-caption,figcaption{color:#666}}.code-copy-button{position:absolute;top:0;right:0;border:0;margin-top:5px;margin-right:5px;background-color:transparent}.code-copy-button:focus{outline:none}.code-copy-button-tooltip{font-size:.75em}pre.sourceCode:hover>.code-copy-button>.bi::before{display:inline-block;height:1rem;width:1rem;content:"";vertical-align:-0.125em;background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgb(94, 94, 94)" viewBox="0 0 16 16"><path d="M4 1.5H3a2 2 0 0 0-2 2V14a2 2 0 0 0 2 2h10a2 2 0 0 0 2-2V3.5a2 2 0 0 0-2-2h-1v1h1a1 1 0 0 1 1 1V14a1 1 0 0 1-1 1H3a1 1 0 0 1-1-1V3.5a1 1 0 0 1 1-1h1v-1z"/><path d="M9.5 1a.5.5 0 0 1 .5.5v1a.5.5 0 0 1-.5.5h-3a.5.5 0 0 1-.5-.5v-1a.5.5 0 0 1 .5-.5h3zm-3-1A1.5 1.5 0 0 0 5 1.5v1A1.5 1.5 0 0 0 6.5 4h3A1.5 1.5 0 0 0 11 2.5v-1A1.5 1.5 0 0 0 9.5 0h-3z"/></svg>');background-repeat:no-repeat;background-size:1rem 1rem}pre.sourceCode:hover>.code-copy-button-checked>.bi::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgb(94, 94, 94)" viewBox="0 0 16 16"><path d="M13.854 3.646a.5.5 0 0 1 0 .708l-7 7a.5.5 0 0 1-.708 0l-3.5-3.5a.5.5 0 1 1 .708-.708L6.5 10.293l6.646-6.647a.5.5 0 0 1 .708 0z"/></svg>')}pre.sourceCode:hover>.code-copy-button:hover>.bi::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgb(71, 88, 171)" viewBox="0 0 16 16"><path d="M4 1.5H3a2 2 0 0 0-2 2V14a2 2 0 0 0 2 2h10a2 2 0 0 0 2-2V3.5a2 2 0 0 0-2-2h-1v1h1a1 1 0 0 1 1 1V14a1 1 0 0 1-1 1H3a1 1 0 0 1-1-1V3.5a1 1 0 0 1 1-1h1v-1z"/><path d="M9.5 1a.5.5 0 0 1 .5.5v1a.5.5 0 0 1-.5.5h-3a.5.5 0 0 1-.5-.5v-1a.5.5 0 0 1 .5-.5h3zm-3-1A1.5 1.5 0 0 0 5 1.5v1A1.5 1.5 0 0 0 6.5 4h3A1.5 1.5 0 0 0 11 2.5v-1A1.5 1.5 0 0 0 9.5 0h-3z"/></svg>')}pre.sourceCode:hover>.code-copy-button-checked:hover>.bi::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgb(71, 88, 171)"  viewBox="0 0 16 16"><path d="M13.854 3.646a.5.5 0 0 1 0 .708l-7 7a.5.5 0 0 1-.708 0l-3.5-3.5a.5.5 0 1 1 .708-.708L6.5 10.293l6.646-6.647a.5.5 0 0 1 .708 0z"/></svg>')}main ol ol,main ul ul,main ol ul,main ul ol{margin-bottom:1em}body{margin:0}main.page-columns>header>h1.title,main.page-columns>header>.title.h1{margin-bottom:0}@media(min-width: 992px){body .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset] 35px [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(500px, calc(850px - 3em)) [body-content-end] 1.5em [body-end] 35px [body-end-outset] minmax(75px, 145px) [page-end-inset] 35px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.fullcontent:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset] 35px [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(500px, calc(850px - 3em)) [body-content-end] 1.5em [body-end] 35px [body-end-outset] 35px [page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.slimcontent:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset] 35px [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(500px, calc(750px - 3em)) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(0px, 200px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.listing:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start] minmax(50px, 100px) [page-start-inset] 50px [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(500px, calc(1200px - 3em)) [body-content-end] 3em [body-end] 50px [body-end-outset] minmax(0px, 250px) [page-end-inset] 50px [page-end] 1fr [screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 35px [page-start-inset] minmax(0px, 175px) [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(450px, calc(750px - 3em)) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(0px, 200px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 35px [page-start-inset] minmax(0px, 175px) [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(450px, calc(750px - 3em)) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(0px, 200px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] minmax(25px, 50px) [page-start-inset] minmax(50px, 150px) [body-start-outset] minmax(25px, 50px) [body-start] 1.5em [body-content-start] minmax(500px, calc(800px - 3em)) [body-content-end] 1.5em [body-end] minmax(25px, 50px) [body-end-outset] minmax(50px, 150px) [page-end-inset] minmax(25px, 50px) [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start] minmax(50px, 100px) [page-start-inset] 50px [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(500px, calc( 1000px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(0px, 100px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked.fullcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start] minmax(50px, 100px) [page-start-inset] 50px [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(500px, calc( 1000px - 3em )) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating.fullcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 50px [page-start-inset] minmax(50px, 150px) [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(500px, calc(800px - 3em)) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked.slimcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start] minmax(50px, 100px) [page-start-inset] 50px [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(450px, calc(750px - 3em)) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(0px, 200px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked.listing .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start] minmax(50px, 100px) [page-start-inset] 50px [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(500px, calc( 1000px - 3em )) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(0px, 100px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating.slimcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 50px [page-start-inset] minmax(50px, 150px) [body-start-outset] 50px [body-start] 1.5em [body-content-start] minmax(450px, calc(750px - 3em)) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(50px, 150px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating.listing .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] minmax(25px, 50px) [page-start-inset] minmax(50px, 150px) [body-start-outset] minmax(25px, 50px) [body-start] 1.5em [body-content-start] minmax(500px, calc(800px - 3em)) [body-content-end] 1.5em [body-end] minmax(25px, 50px) [body-end-outset] minmax(50px, 150px) [page-end-inset] minmax(25px, 50px) [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}}@media(max-width: 991.98px){body .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset] 5fr [body-start] 1.5em [body-content-start] minmax(500px, calc(750px - 3em)) [body-content-end] 1.5em [body-end] 35px [body-end-outset] minmax(75px, 145px) [page-end-inset] 35px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.fullcontent:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset] 5fr [body-start] 1.5em [body-content-start] minmax(500px, calc(750px - 3em)) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.slimcontent:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset] 5fr [body-start] 1.5em [body-content-start] minmax(500px, calc(750px - 3em)) [body-content-end] 1.5em [body-end] 35px [body-end-outset] minmax(75px, 145px) [page-end-inset] 35px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.listing:not(.floating):not(.docked) .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset] 5fr [body-start] 1.5em [body-content-start] minmax(500px, calc(1200px - 3em)) [body-content-end body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 35px [page-start-inset] minmax(0px, 145px) [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(450px, calc(750px - 3em)) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start] 35px [page-start-inset] minmax(0px, 145px) [body-start-outset] 35px [body-start] 1.5em [body-content-start] minmax(450px, calc(750px - 3em)) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset body-start-outset body-start] 1em [body-content-start] minmax(500px, calc(750px - 3em)) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(75px, 150px) [page-end-inset] 25px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(500px, calc(750px - 3em)) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(25px, 50px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked.fullcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(500px, calc( 1000px - 3em )) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating.fullcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset body-start-outset body-start] 1em [body-content-start] minmax(500px, calc(800px - 3em)) [body-content-end] 1.5em [body-end body-end-outset page-end-inset page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked.slimcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(500px, calc(750px - 3em)) [body-content-end] 1.5em [body-end] 35px [body-end-outset] minmax(75px, 145px) [page-end-inset] 35px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.docked.listing .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(500px, calc(750px - 3em)) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(25px, 50px) [page-end-inset] 50px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}body.floating.slimcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset body-start-outset body-start] 1em [body-content-start] minmax(500px, calc(750px - 3em)) [body-content-end] 1.5em [body-end] 35px [body-end-outset] minmax(75px, 145px) [page-end-inset] 35px [page-end] 4fr [screen-end-inset] 1.5em [screen-end]}body.floating.listing .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset] 5fr [page-start page-start-inset body-start-outset body-start] 1em [body-content-start] minmax(500px, calc(750px - 3em)) [body-content-end] 1.5em [body-end] 50px [body-end-outset] minmax(75px, 150px) [page-end-inset] 25px [page-end] 5fr [screen-end-inset] 1.5em [screen-end]}}@media(max-width: 767.98px){body .page-columns,body.fullcontent:not(.floating):not(.docked) .page-columns,body.slimcontent:not(.floating):not(.docked) .page-columns,body.docked .page-columns,body.docked.slimcontent .page-columns,body.docked.fullcontent .page-columns,body.floating .page-columns,body.floating.slimcontent .page-columns,body.floating.fullcontent .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(0px, 1fr) [body-content-end body-end body-end-outset page-end-inset page-end screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(0px, 1fr) [body-content-end body-end body-end-outset page-end-inset page-end screen-end-inset] 1.5em [screen-end]}body:not(.floating):not(.docked) .page-columns.toc-left .page-columns{display:grid;gap:0;grid-template-columns:[screen-start] 1.5em [screen-start-inset page-start page-start-inset body-start-outset body-start body-content-start] minmax(0px, 1fr) [body-content-end body-end body-end-outset page-end-inset page-end screen-end-inset] 1.5em [screen-end]}nav[role=doc-toc]{display:none}}body,.page-row-navigation{grid-template-rows:[page-top] max-content [contents-top] max-content [contents-bottom] max-content [page-bottom]}.page-rows-contents{grid-template-rows:[content-top] minmax(max-content, 1fr) [content-bottom] minmax(60px, max-content) [page-bottom]}.page-full{grid-column:screen-start/screen-end !important}.page-columns>*{grid-column:body-content-start/body-content-end}.page-columns.column-page>*{grid-column:page-start/page-end}.page-columns.column-page-left>*{grid-column:page-start/body-content-end}.page-columns.column-page-right>*{grid-column:body-content-start/page-end}.page-rows{grid-auto-rows:auto}.header{grid-column:screen-start/screen-end;grid-row:page-top/contents-top}#quarto-content{padding:0;grid-column:screen-start/screen-end;grid-row:contents-top/contents-bottom}body.floating .sidebar.sidebar-navigation{grid-column:page-start/body-start;grid-row:content-top/page-bottom}body.docked .sidebar.sidebar-navigation{grid-column:screen-start/body-start;grid-row:content-top/page-bottom}.sidebar.toc-left{grid-column:page-start/body-start;grid-row:content-top/page-bottom}.sidebar.margin-sidebar{grid-column:body-end/page-end;grid-row:content-top/page-bottom}.page-columns .content{grid-column:body-content-start/body-content-end;grid-row:content-top/content-bottom;align-content:flex-start}.page-columns .page-navigation{grid-column:body-content-start/body-content-end;grid-row:content-bottom/page-bottom}.page-columns .footer{grid-column:screen-start/screen-end;grid-row:contents-bottom/page-bottom}.page-columns .column-body{grid-column:body-content-start/body-content-end}.page-columns .column-body-fullbleed{grid-column:body-start/body-end}.page-columns .column-body-outset{grid-column:body-start-outset/body-end-outset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-body-outset table{background:#fff}.page-columns .column-body-outset-left{grid-column:body-start-outset/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-body-outset-left table{background:#fff}.page-columns .column-body-outset-right{grid-column:body-content-start/body-end-outset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-body-outset-right table{background:#fff}.page-columns .column-page{grid-column:page-start/page-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page table{background:#fff}.page-columns .column-page-inset{grid-column:page-start-inset/page-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page-inset table{background:#fff}.page-columns .column-page-inset-left{grid-column:page-start-inset/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page-inset-left table{background:#fff}.page-columns .column-page-inset-right{grid-column:body-content-start/page-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page-inset-right figcaption table{background:#fff}.page-columns .column-page-left{grid-column:page-start/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page-left table{background:#fff}.page-columns .column-page-right{grid-column:body-content-start/page-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-page-right figcaption table{background:#fff}#quarto-content.page-columns #quarto-margin-sidebar,#quarto-content.page-columns #quarto-sidebar{z-index:1}@media(max-width: 991.98px){#quarto-content.page-columns #quarto-margin-sidebar.collapse,#quarto-content.page-columns #quarto-sidebar.collapse{z-index:1055}}#quarto-content.page-columns main.column-page,#quarto-content.page-columns main.column-page-right,#quarto-content.page-columns main.column-page-left{z-index:0}.page-columns .column-screen-inset{grid-column:screen-start-inset/screen-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset table{background:#fff}.page-columns .column-screen-inset-left{grid-column:screen-start-inset/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset-left table{background:#fff}.page-columns .column-screen-inset-right{grid-column:body-content-start/screen-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset-right table{background:#fff}.page-columns .column-screen{grid-column:screen-start/screen-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen table{background:#fff}.page-columns .column-screen-left{grid-column:screen-start/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-left table{background:#fff}.page-columns .column-screen-right{grid-column:body-content-start/screen-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-right table{background:#fff}.page-columns .column-screen-inset-shaded{grid-column:screen-start/screen-end;padding:1em;background:#fff;z-index:998;transform:translate3d(0, 0, 0);margin-bottom:1em}.zindex-content{z-index:998;transform:translate3d(0, 0, 0)}.zindex-modal{z-index:1055;transform:translate3d(0, 0, 0)}.zindex-over-content{z-index:999;transform:translate3d(0, 0, 0)}img.img-fluid.column-screen,img.img-fluid.column-screen-inset-shaded,img.img-fluid.column-screen-inset,img.img-fluid.column-screen-inset-left,img.img-fluid.column-screen-inset-right,img.img-fluid.column-screen-left,img.img-fluid.column-screen-right{width:100%}@media(min-width: 992px){.margin-caption,div.aside,aside,.column-margin{grid-column:body-end/page-end !important;z-index:998}.column-sidebar{grid-column:page-start/body-start !important;z-index:998}.column-leftmargin{grid-column:screen-start-inset/body-start !important;z-index:998}.no-row-height{height:1em;overflow:visible}}@media(max-width: 991.98px){.margin-caption,div.aside,aside,.column-margin{grid-column:body-end/page-end !important;z-index:998}.no-row-height{height:1em;overflow:visible}.page-columns.page-full{overflow:visible}.page-columns.toc-left .margin-caption,.page-columns.toc-left div.aside,.page-columns.toc-left aside,.page-columns.toc-left .column-margin{grid-column:body-content-start/body-content-end !important;z-index:998;transform:translate3d(0, 0, 0)}.page-columns.toc-left .no-row-height{height:initial;overflow:initial}}@media(max-width: 767.98px){.margin-caption,div.aside,aside,.column-margin{grid-column:body-content-start/body-content-end !important;z-index:998;transform:translate3d(0, 0, 0)}.no-row-height{height:initial;overflow:initial}#quarto-margin-sidebar{display:none}.hidden-sm{display:none}}.panel-grid{display:grid;grid-template-rows:repeat(1, 1fr);grid-template-columns:repeat(24, 1fr);gap:1em}.panel-grid .g-col-1{grid-column:auto/span 1}.panel-grid .g-col-2{grid-column:auto/span 2}.panel-grid .g-col-3{grid-column:auto/span 3}.panel-grid .g-col-4{grid-column:auto/span 4}.panel-grid .g-col-5{grid-column:auto/span 5}.panel-grid .g-col-6{grid-column:auto/span 6}.panel-grid .g-col-7{grid-column:auto/span 7}.panel-grid .g-col-8{grid-column:auto/span 8}.panel-grid .g-col-9{grid-column:auto/span 9}.panel-grid .g-col-10{grid-column:auto/span 10}.panel-grid .g-col-11{grid-column:auto/span 11}.panel-grid .g-col-12{grid-column:auto/span 12}.panel-grid .g-col-13{grid-column:auto/span 13}.panel-grid .g-col-14{grid-column:auto/span 14}.panel-grid .g-col-15{grid-column:auto/span 15}.panel-grid .g-col-16{grid-column:auto/span 16}.panel-grid .g-col-17{grid-column:auto/span 17}.panel-grid .g-col-18{grid-column:auto/span 18}.panel-grid .g-col-19{grid-column:auto/span 19}.panel-grid .g-col-20{grid-column:auto/span 20}.panel-grid .g-col-21{grid-column:auto/span 21}.panel-grid .g-col-22{grid-column:auto/span 22}.panel-grid .g-col-23{grid-column:auto/span 23}.panel-grid .g-col-24{grid-column:auto/span 24}.panel-grid .g-start-1{grid-column-start:1}.panel-grid .g-start-2{grid-column-start:2}.panel-grid .g-start-3{grid-column-start:3}.panel-grid .g-start-4{grid-column-start:4}.panel-grid .g-start-5{grid-column-start:5}.panel-grid .g-start-6{grid-column-start:6}.panel-grid .g-start-7{grid-column-start:7}.panel-grid .g-start-8{grid-column-start:8}.panel-grid .g-start-9{grid-column-start:9}.panel-grid .g-start-10{grid-column-start:10}.panel-grid .g-start-11{grid-column-start:11}.panel-grid .g-start-12{grid-column-start:12}.panel-grid .g-start-13{grid-column-start:13}.panel-grid .g-start-14{grid-column-start:14}.panel-grid .g-start-15{grid-column-start:15}.panel-grid .g-start-16{grid-column-start:16}.panel-grid .g-start-17{grid-column-start:17}.panel-grid .g-start-18{grid-column-start:18}.panel-grid .g-start-19{grid-column-start:19}.panel-grid .g-start-20{grid-column-start:20}.panel-grid .g-start-21{grid-column-start:21}.panel-grid .g-start-22{grid-column-start:22}.panel-grid .g-start-23{grid-column-start:23}@media(min-width: 576px){.panel-grid .g-col-sm-1{grid-column:auto/span 1}.panel-grid .g-col-sm-2{grid-column:auto/span 2}.panel-grid .g-col-sm-3{grid-column:auto/span 3}.panel-grid .g-col-sm-4{grid-column:auto/span 4}.panel-grid .g-col-sm-5{grid-column:auto/span 5}.panel-grid .g-col-sm-6{grid-column:auto/span 6}.panel-grid .g-col-sm-7{grid-column:auto/span 7}.panel-grid .g-col-sm-8{grid-column:auto/span 8}.panel-grid .g-col-sm-9{grid-column:auto/span 9}.panel-grid .g-col-sm-10{grid-column:auto/span 10}.panel-grid .g-col-sm-11{grid-column:auto/span 11}.panel-grid .g-col-sm-12{grid-column:auto/span 12}.panel-grid .g-col-sm-13{grid-column:auto/span 13}.panel-grid .g-col-sm-14{grid-column:auto/span 14}.panel-grid .g-col-sm-15{grid-column:auto/span 15}.panel-grid .g-col-sm-16{grid-column:auto/span 16}.panel-grid .g-col-sm-17{grid-column:auto/span 17}.panel-grid .g-col-sm-18{grid-column:auto/span 18}.panel-grid .g-col-sm-19{grid-column:auto/span 19}.panel-grid .g-col-sm-20{grid-column:auto/span 20}.panel-grid .g-col-sm-21{grid-column:auto/span 21}.panel-grid .g-col-sm-22{grid-column:auto/span 22}.panel-grid .g-col-sm-23{grid-column:auto/span 23}.panel-grid .g-col-sm-24{grid-column:auto/span 24}.panel-grid .g-start-sm-1{grid-column-start:1}.panel-grid .g-start-sm-2{grid-column-start:2}.panel-grid .g-start-sm-3{grid-column-start:3}.panel-grid .g-start-sm-4{grid-column-start:4}.panel-grid .g-start-sm-5{grid-column-start:5}.panel-grid .g-start-sm-6{grid-column-start:6}.panel-grid .g-start-sm-7{grid-column-start:7}.panel-grid .g-start-sm-8{grid-column-start:8}.panel-grid .g-start-sm-9{grid-column-start:9}.panel-grid .g-start-sm-10{grid-column-start:10}.panel-grid .g-start-sm-11{grid-column-start:11}.panel-grid .g-start-sm-12{grid-column-start:12}.panel-grid .g-start-sm-13{grid-column-start:13}.panel-grid .g-start-sm-14{grid-column-start:14}.panel-grid .g-start-sm-15{grid-column-start:15}.panel-grid .g-start-sm-16{grid-column-start:16}.panel-grid .g-start-sm-17{grid-column-start:17}.panel-grid .g-start-sm-18{grid-column-start:18}.panel-grid .g-start-sm-19{grid-column-start:19}.panel-grid .g-start-sm-20{grid-column-start:20}.panel-grid .g-start-sm-21{grid-column-start:21}.panel-grid .g-start-sm-22{grid-column-start:22}.panel-grid .g-start-sm-23{grid-column-start:23}}@media(min-width: 768px){.panel-grid .g-col-md-1{grid-column:auto/span 1}.panel-grid .g-col-md-2{grid-column:auto/span 2}.panel-grid .g-col-md-3{grid-column:auto/span 3}.panel-grid .g-col-md-4{grid-column:auto/span 4}.panel-grid .g-col-md-5{grid-column:auto/span 5}.panel-grid .g-col-md-6{grid-column:auto/span 6}.panel-grid .g-col-md-7{grid-column:auto/span 7}.panel-grid .g-col-md-8{grid-column:auto/span 8}.panel-grid .g-col-md-9{grid-column:auto/span 9}.panel-grid .g-col-md-10{grid-column:auto/span 10}.panel-grid .g-col-md-11{grid-column:auto/span 11}.panel-grid .g-col-md-12{grid-column:auto/span 12}.panel-grid .g-col-md-13{grid-column:auto/span 13}.panel-grid .g-col-md-14{grid-column:auto/span 14}.panel-grid .g-col-md-15{grid-column:auto/span 15}.panel-grid .g-col-md-16{grid-column:auto/span 16}.panel-grid .g-col-md-17{grid-column:auto/span 17}.panel-grid .g-col-md-18{grid-column:auto/span 18}.panel-grid .g-col-md-19{grid-column:auto/span 19}.panel-grid .g-col-md-20{grid-column:auto/span 20}.panel-grid .g-col-md-21{grid-column:auto/span 21}.panel-grid .g-col-md-22{grid-column:auto/span 22}.panel-grid .g-col-md-23{grid-column:auto/span 23}.panel-grid .g-col-md-24{grid-column:auto/span 24}.panel-grid .g-start-md-1{grid-column-start:1}.panel-grid .g-start-md-2{grid-column-start:2}.panel-grid .g-start-md-3{grid-column-start:3}.panel-grid .g-start-md-4{grid-column-start:4}.panel-grid .g-start-md-5{grid-column-start:5}.panel-grid .g-start-md-6{grid-column-start:6}.panel-grid .g-start-md-7{grid-column-start:7}.panel-grid .g-start-md-8{grid-column-start:8}.panel-grid .g-start-md-9{grid-column-start:9}.panel-grid .g-start-md-10{grid-column-start:10}.panel-grid .g-start-md-11{grid-column-start:11}.panel-grid .g-start-md-12{grid-column-start:12}.panel-grid .g-start-md-13{grid-column-start:13}.panel-grid .g-start-md-14{grid-column-start:14}.panel-grid .g-start-md-15{grid-column-start:15}.panel-grid .g-start-md-16{grid-column-start:16}.panel-grid .g-start-md-17{grid-column-start:17}.panel-grid .g-start-md-18{grid-column-start:18}.panel-grid .g-start-md-19{grid-column-start:19}.panel-grid .g-start-md-20{grid-column-start:20}.panel-grid .g-start-md-21{grid-column-start:21}.panel-grid .g-start-md-22{grid-column-start:22}.panel-grid .g-start-md-23{grid-column-start:23}}@media(min-width: 992px){.panel-grid .g-col-lg-1{grid-column:auto/span 1}.panel-grid .g-col-lg-2{grid-column:auto/span 2}.panel-grid .g-col-lg-3{grid-column:auto/span 3}.panel-grid .g-col-lg-4{grid-column:auto/span 4}.panel-grid .g-col-lg-5{grid-column:auto/span 5}.panel-grid .g-col-lg-6{grid-column:auto/span 6}.panel-grid .g-col-lg-7{grid-column:auto/span 7}.panel-grid .g-col-lg-8{grid-column:auto/span 8}.panel-grid .g-col-lg-9{grid-column:auto/span 9}.panel-grid .g-col-lg-10{grid-column:auto/span 10}.panel-grid .g-col-lg-11{grid-column:auto/span 11}.panel-grid .g-col-lg-12{grid-column:auto/span 12}.panel-grid .g-col-lg-13{grid-column:auto/span 13}.panel-grid .g-col-lg-14{grid-column:auto/span 14}.panel-grid .g-col-lg-15{grid-column:auto/span 15}.panel-grid .g-col-lg-16{grid-column:auto/span 16}.panel-grid .g-col-lg-17{grid-column:auto/span 17}.panel-grid .g-col-lg-18{grid-column:auto/span 18}.panel-grid .g-col-lg-19{grid-column:auto/span 19}.panel-grid .g-col-lg-20{grid-column:auto/span 20}.panel-grid .g-col-lg-21{grid-column:auto/span 21}.panel-grid .g-col-lg-22{grid-column:auto/span 22}.panel-grid .g-col-lg-23{grid-column:auto/span 23}.panel-grid .g-col-lg-24{grid-column:auto/span 24}.panel-grid .g-start-lg-1{grid-column-start:1}.panel-grid .g-start-lg-2{grid-column-start:2}.panel-grid .g-start-lg-3{grid-column-start:3}.panel-grid .g-start-lg-4{grid-column-start:4}.panel-grid .g-start-lg-5{grid-column-start:5}.panel-grid .g-start-lg-6{grid-column-start:6}.panel-grid .g-start-lg-7{grid-column-start:7}.panel-grid .g-start-lg-8{grid-column-start:8}.panel-grid .g-start-lg-9{grid-column-start:9}.panel-grid .g-start-lg-10{grid-column-start:10}.panel-grid .g-start-lg-11{grid-column-start:11}.panel-grid .g-start-lg-12{grid-column-start:12}.panel-grid .g-start-lg-13{grid-column-start:13}.panel-grid .g-start-lg-14{grid-column-start:14}.panel-grid .g-start-lg-15{grid-column-start:15}.panel-grid .g-start-lg-16{grid-column-start:16}.panel-grid .g-start-lg-17{grid-column-start:17}.panel-grid .g-start-lg-18{grid-column-start:18}.panel-grid .g-start-lg-19{grid-column-start:19}.panel-grid .g-start-lg-20{grid-column-start:20}.panel-grid .g-start-lg-21{grid-column-start:21}.panel-grid .g-start-lg-22{grid-column-start:22}.panel-grid .g-start-lg-23{grid-column-start:23}}@media(min-width: 1200px){.panel-grid .g-col-xl-1{grid-column:auto/span 1}.panel-grid .g-col-xl-2{grid-column:auto/span 2}.panel-grid .g-col-xl-3{grid-column:auto/span 3}.panel-grid .g-col-xl-4{grid-column:auto/span 4}.panel-grid .g-col-xl-5{grid-column:auto/span 5}.panel-grid .g-col-xl-6{grid-column:auto/span 6}.panel-grid .g-col-xl-7{grid-column:auto/span 7}.panel-grid .g-col-xl-8{grid-column:auto/span 8}.panel-grid .g-col-xl-9{grid-column:auto/span 9}.panel-grid .g-col-xl-10{grid-column:auto/span 10}.panel-grid .g-col-xl-11{grid-column:auto/span 11}.panel-grid .g-col-xl-12{grid-column:auto/span 12}.panel-grid .g-col-xl-13{grid-column:auto/span 13}.panel-grid .g-col-xl-14{grid-column:auto/span 14}.panel-grid .g-col-xl-15{grid-column:auto/span 15}.panel-grid .g-col-xl-16{grid-column:auto/span 16}.panel-grid .g-col-xl-17{grid-column:auto/span 17}.panel-grid .g-col-xl-18{grid-column:auto/span 18}.panel-grid .g-col-xl-19{grid-column:auto/span 19}.panel-grid .g-col-xl-20{grid-column:auto/span 20}.panel-grid .g-col-xl-21{grid-column:auto/span 21}.panel-grid .g-col-xl-22{grid-column:auto/span 22}.panel-grid .g-col-xl-23{grid-column:auto/span 23}.panel-grid .g-col-xl-24{grid-column:auto/span 24}.panel-grid .g-start-xl-1{grid-column-start:1}.panel-grid .g-start-xl-2{grid-column-start:2}.panel-grid .g-start-xl-3{grid-column-start:3}.panel-grid .g-start-xl-4{grid-column-start:4}.panel-grid .g-start-xl-5{grid-column-start:5}.panel-grid .g-start-xl-6{grid-column-start:6}.panel-grid .g-start-xl-7{grid-column-start:7}.panel-grid .g-start-xl-8{grid-column-start:8}.panel-grid .g-start-xl-9{grid-column-start:9}.panel-grid .g-start-xl-10{grid-column-start:10}.panel-grid .g-start-xl-11{grid-column-start:11}.panel-grid .g-start-xl-12{grid-column-start:12}.panel-grid .g-start-xl-13{grid-column-start:13}.panel-grid .g-start-xl-14{grid-column-start:14}.panel-grid .g-start-xl-15{grid-column-start:15}.panel-grid .g-start-xl-16{grid-column-start:16}.panel-grid .g-start-xl-17{grid-column-start:17}.panel-grid .g-start-xl-18{grid-column-start:18}.panel-grid .g-start-xl-19{grid-column-start:19}.panel-grid .g-start-xl-20{grid-column-start:20}.panel-grid .g-start-xl-21{grid-column-start:21}.panel-grid .g-start-xl-22{grid-column-start:22}.panel-grid .g-start-xl-23{grid-column-start:23}}@media(min-width: 1400px){.panel-grid .g-col-xxl-1{grid-column:auto/span 1}.panel-grid .g-col-xxl-2{grid-column:auto/span 2}.panel-grid .g-col-xxl-3{grid-column:auto/span 3}.panel-grid .g-col-xxl-4{grid-column:auto/span 4}.panel-grid .g-col-xxl-5{grid-column:auto/span 5}.panel-grid .g-col-xxl-6{grid-column:auto/span 6}.panel-grid .g-col-xxl-7{grid-column:auto/span 7}.panel-grid .g-col-xxl-8{grid-column:auto/span 8}.panel-grid .g-col-xxl-9{grid-column:auto/span 9}.panel-grid .g-col-xxl-10{grid-column:auto/span 10}.panel-grid .g-col-xxl-11{grid-column:auto/span 11}.panel-grid .g-col-xxl-12{grid-column:auto/span 12}.panel-grid .g-col-xxl-13{grid-column:auto/span 13}.panel-grid .g-col-xxl-14{grid-column:auto/span 14}.panel-grid .g-col-xxl-15{grid-column:auto/span 15}.panel-grid .g-col-xxl-16{grid-column:auto/span 16}.panel-grid .g-col-xxl-17{grid-column:auto/span 17}.panel-grid .g-col-xxl-18{grid-column:auto/span 18}.panel-grid .g-col-xxl-19{grid-column:auto/span 19}.panel-grid .g-col-xxl-20{grid-column:auto/span 20}.panel-grid .g-col-xxl-21{grid-column:auto/span 21}.panel-grid .g-col-xxl-22{grid-column:auto/span 22}.panel-grid .g-col-xxl-23{grid-column:auto/span 23}.panel-grid .g-col-xxl-24{grid-column:auto/span 24}.panel-grid .g-start-xxl-1{grid-column-start:1}.panel-grid .g-start-xxl-2{grid-column-start:2}.panel-grid .g-start-xxl-3{grid-column-start:3}.panel-grid .g-start-xxl-4{grid-column-start:4}.panel-grid .g-start-xxl-5{grid-column-start:5}.panel-grid .g-start-xxl-6{grid-column-start:6}.panel-grid .g-start-xxl-7{grid-column-start:7}.panel-grid .g-start-xxl-8{grid-column-start:8}.panel-grid .g-start-xxl-9{grid-column-start:9}.panel-grid .g-start-xxl-10{grid-column-start:10}.panel-grid .g-start-xxl-11{grid-column-start:11}.panel-grid .g-start-xxl-12{grid-column-start:12}.panel-grid .g-start-xxl-13{grid-column-start:13}.panel-grid .g-start-xxl-14{grid-column-start:14}.panel-grid .g-start-xxl-15{grid-column-start:15}.panel-grid .g-start-xxl-16{grid-column-start:16}.panel-grid .g-start-xxl-17{grid-column-start:17}.panel-grid .g-start-xxl-18{grid-column-start:18}.panel-grid .g-start-xxl-19{grid-column-start:19}.panel-grid .g-start-xxl-20{grid-column-start:20}.panel-grid .g-start-xxl-21{grid-column-start:21}.panel-grid .g-start-xxl-22{grid-column-start:22}.panel-grid .g-start-xxl-23{grid-column-start:23}}main{margin-top:1em;margin-bottom:1em}h1,.h1,h2,.h2{margin-top:2rem;margin-bottom:1rem}h1.title,.title.h1{margin-top:0}h2,.h2{border-bottom:1px solid rgba(0,0,0,.05);padding-bottom:.5rem}h3,.h3,h4,.h4{margin-top:1.5rem}.header-section-number{color:#94999c}.nav-link.active .header-section-number{color:inherit}mark,.mark{padding:0em}.panel-caption,caption,.figure-caption{font-size:1rem}.panel-caption,.figure-caption,figcaption{color:#94999c}.table-caption,caption{color:#55595c}.quarto-layout-cell[data-ref-parent] caption{color:#94999c}.column-margin figcaption,.margin-caption,div.aside,aside,.column-margin{color:#94999c;font-size:.825rem}.panel-caption.margin-caption{text-align:inherit}.column-margin.column-container p{margin-bottom:0}.column-margin.column-container>*:not(.collapse){padding-top:.5em;padding-bottom:.5em;display:block}.column-margin.column-container>*.collapse:not(.show){display:none}@media(min-width: 768px){.column-margin.column-container .callout-margin-content:first-child{margin-top:4.5em}.column-margin.column-container .callout-margin-content-simple:first-child{margin-top:3.5em}}.margin-caption>*{padding-top:.5em;padding-bottom:.5em}@media(max-width: 767.98px){.quarto-layout-row{flex-direction:column}}.tab-content{margin-top:0px;border-left:#dee2e6 1px solid;border-right:#dee2e6 1px solid;border-bottom:#dee2e6 1px solid;margin-left:0;padding:1em;margin-bottom:1em}@media(max-width: 767.98px){.layout-sidebar{margin-left:0;margin-right:0}}.panel-sidebar,.panel-sidebar .form-control,.panel-input,.panel-input .form-control,.selectize-dropdown{font-size:.9rem}.panel-sidebar .form-control,.panel-input .form-control{padding-top:.1rem}.tab-pane div.sourceCode{margin-top:0px}.tab-pane>p{padding-top:1em}.tab-content>.tab-pane:not(.active){display:none !important}div.sourceCode{background-color:rgba(247,247,249,.65);border:1px solid rgba(247,247,249,.65);border-radius:.25rem}pre.sourceCode{background-color:transparent}pre.sourceCode{border:none;font-size:.875em;overflow:visible !important;padding:.4em}.callout pre.sourceCode{padding-left:0}div.sourceCode{overflow-y:hidden}.callout div.sourceCode{margin-left:initial}.blockquote{font-size:inherit;padding-left:1rem;padding-right:1.5rem;color:#94999c}.blockquote h1:first-child,.blockquote .h1:first-child,.blockquote h2:first-child,.blockquote .h2:first-child,.blockquote h3:first-child,.blockquote .h3:first-child,.blockquote h4:first-child,.blockquote .h4:first-child,.blockquote h5:first-child,.blockquote .h5:first-child{margin-top:0}pre{background-color:initial;padding:initial;border:initial}p code:not(.sourceCode),li code:not(.sourceCode){background-color:#f8f8f8;padding:.2em}nav p code:not(.sourceCode),nav li code:not(.sourceCode){background-color:transparent;padding:0}#quarto-embedded-source-code-modal>.modal-dialog{max-width:1000px;padding-left:1.75rem;padding-right:1.75rem}#quarto-embedded-source-code-modal>.modal-dialog>.modal-content>.modal-body{padding:0}#quarto-embedded-source-code-modal>.modal-dialog>.modal-content>.modal-body div.sourceCode{margin:0;padding:.2rem .2rem;border-radius:0px;border:none}#quarto-embedded-source-code-modal>.modal-dialog>.modal-content>.modal-header{padding:.7rem}.code-tools-button{font-size:1rem;padding:.15rem .15rem;margin-left:5px;color:#6c757d;background-color:transparent;transition:initial;cursor:pointer}.code-tools-button>.bi::before{display:inline-block;height:1rem;width:1rem;content:"";vertical-align:-0.125em;background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgb(108, 117, 125)" viewBox="0 0 16 16"><path d="M10.478 1.647a.5.5 0 1 0-.956-.294l-4 13a.5.5 0 0 0 .956.294l4-13zM4.854 4.146a.5.5 0 0 1 0 .708L1.707 8l3.147 3.146a.5.5 0 0 1-.708.708l-3.5-3.5a.5.5 0 0 1 0-.708l3.5-3.5a.5.5 0 0 1 .708 0zm6.292 0a.5.5 0 0 0 0 .708L14.293 8l-3.147 3.146a.5.5 0 0 0 .708.708l3.5-3.5a.5.5 0 0 0 0-.708l-3.5-3.5a.5.5 0 0 0-.708 0z"/></svg>');background-repeat:no-repeat;background-size:1rem 1rem}.code-tools-button:hover>.bi::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgb(85, 89, 92)" viewBox="0 0 16 16"><path d="M10.478 1.647a.5.5 0 1 0-.956-.294l-4 13a.5.5 0 0 0 .956.294l4-13zM4.854 4.146a.5.5 0 0 1 0 .708L1.707 8l3.147 3.146a.5.5 0 0 1-.708.708l-3.5-3.5a.5.5 0 0 1 0-.708l3.5-3.5a.5.5 0 0 1 .708 0zm6.292 0a.5.5 0 0 0 0 .708L14.293 8l-3.147 3.146a.5.5 0 0 0 .708.708l3.5-3.5a.5.5 0 0 0 0-.708l-3.5-3.5a.5.5 0 0 0-.708 0z"/></svg>')}#quarto-embedded-source-code-modal .code-copy-button>.bi::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgb(108, 117, 125)" viewBox="0 0 16 16"><path d="M4 1.5H3a2 2 0 0 0-2 2V14a2 2 0 0 0 2 2h10a2 2 0 0 0 2-2V3.5a2 2 0 0 0-2-2h-1v1h1a1 1 0 0 1 1 1V14a1 1 0 0 1-1 1H3a1 1 0 0 1-1-1V3.5a1 1 0 0 1 1-1h1v-1z"/><path d="M9.5 1a.5.5 0 0 1 .5.5v1a.5.5 0 0 1-.5.5h-3a.5.5 0 0 1-.5-.5v-1a.5.5 0 0 1 .5-.5h3zm-3-1A1.5 1.5 0 0 0 5 1.5v1A1.5 1.5 0 0 0 6.5 4h3A1.5 1.5 0 0 0 11 2.5v-1A1.5 1.5 0 0 0 9.5 0h-3z"/></svg>')}#quarto-embedded-source-code-modal .code-copy-button-checked>.bi::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgb(108, 117, 125)" viewBox="0 0 16 16"><path d="M13.854 3.646a.5.5 0 0 1 0 .708l-7 7a.5.5 0 0 1-.708 0l-3.5-3.5a.5.5 0 1 1 .708-.708L6.5 10.293l6.646-6.647a.5.5 0 0 1 .708 0z"/></svg>')}.sidebar{will-change:top;transition:top 200ms linear;position:sticky;overflow-y:auto;padding-top:1.2em;max-height:100vh}.sidebar.toc-left,.sidebar.margin-sidebar{top:0px;padding-top:1em}.sidebar.toc-left>*,.sidebar.margin-sidebar>*{padding-top:.5em}.sidebar.quarto-banner-title-block-sidebar>*{padding-top:1.65em}.sidebar nav[role=doc-toc]>h2,.sidebar nav[role=doc-toc]>.h2{font-size:.875rem;font-weight:400;margin-bottom:.5rem;margin-top:.3rem;font-family:inherit;border-bottom:0;padding-bottom:0;padding-top:0px}.sidebar nav[role=doc-toc]>ul a{border-left:1px solid #f7f7f9;padding-left:.6rem}.sidebar nav[role=doc-toc]>ul a:empty{display:none}.sidebar nav[role=doc-toc] ul{padding-left:0;list-style:none;font-size:.875rem;font-weight:300}.sidebar nav[role=doc-toc]>ul li a{line-height:1.1rem;padding-bottom:.2rem;padding-top:.2rem;color:inherit}.sidebar nav[role=doc-toc] ul>li>ul>li>a{padding-left:1.2em}.sidebar nav[role=doc-toc] ul>li>ul>li>ul>li>a{padding-left:2.4em}.sidebar nav[role=doc-toc] ul>li>ul>li>ul>li>ul>li>a{padding-left:3.6em}.sidebar nav[role=doc-toc] ul>li>ul>li>ul>li>ul>li>ul>li>a{padding-left:4.8em}.sidebar nav[role=doc-toc] ul>li>ul>li>ul>li>ul>li>ul>li>ul>li>a{padding-left:6em}.sidebar nav[role=doc-toc] ul>li>ul>li>a.active{border-left:1px solid #1a1a1a;color:#1a1a1a !important}.sidebar nav[role=doc-toc] ul>li>a.active{border-left:1px solid #1a1a1a;color:#1a1a1a !important}kbd,.kbd{color:#55595c;background-color:#f8f9fa;border:1px solid;border-radius:5px;border-color:rgba(0,0,0,.05)}div.hanging-indent{margin-left:1em;text-indent:-1em}.citation a,.footnote-ref{text-decoration:none}.footnotes ol{padding-left:1em}.tippy-content>*{margin-bottom:.7em}.tippy-content>*:last-child{margin-bottom:0}.table a{word-break:break-word}.table>:not(:first-child){border-top-width:1px;border-top-color:rgba(0,0,0,.05)}.table>thead{border-bottom:1px solid currentColor}.table>tbody{border-top:1px solid rgba(0,0,0,.05)}.callout{margin-top:1.25rem;margin-bottom:1.25rem;border-radius:.25rem}.callout.callout-style-simple{padding:.4em .7em;border-left:5px solid;border-right:1px solid rgba(0,0,0,.05);border-top:1px solid rgba(0,0,0,.05);border-bottom:1px solid rgba(0,0,0,.05)}.callout.callout-style-default{border-left:5px solid;border-right:1px solid rgba(0,0,0,.05);border-top:1px solid rgba(0,0,0,.05);border-bottom:1px solid rgba(0,0,0,.05)}.callout .callout-body-container{flex-grow:1}.callout.callout-style-simple .callout-body{font-size:.9rem;font-weight:400}.callout.callout-style-default .callout-body{font-size:.9rem;font-weight:400}.callout.callout-captioned .callout-body{margin-top:.2em}.callout:not(.no-icon).callout-captioned.callout-style-simple .callout-body{padding-left:1.6em}.callout.callout-captioned>.callout-header{padding-top:.2em;margin-bottom:-0.2em}.callout.callout-style-simple>div.callout-header{border-bottom:none;font-size:.9rem;font-weight:600;opacity:75%}.callout.callout-style-default>div.callout-header{border-bottom:none;font-weight:600;opacity:85%;font-size:.9rem;padding-left:.5em;padding-right:.5em}.callout.callout-style-default div.callout-body{padding-left:.5em;padding-right:.5em}.callout.callout-style-default div.callout-body>:first-child{margin-top:.5em}.callout>div.callout-header[data-bs-toggle=collapse]{cursor:pointer}.callout.callout-style-default .callout-header[aria-expanded=false],.callout.callout-style-default .callout-header[aria-expanded=true]{padding-top:0px;margin-bottom:0px;align-items:center}.callout.callout-captioned .callout-body>:last-child:not(.sourceCode),.callout.callout-captioned .callout-body>div>:last-child:not(.sourceCode){margin-bottom:.5rem}.callout:not(.callout-captioned) .callout-body>:first-child,.callout:not(.callout-captioned) .callout-body>div>:first-child{margin-top:.25rem}.callout:not(.callout-captioned) .callout-body>:last-child,.callout:not(.callout-captioned) .callout-body>div>:last-child{margin-bottom:.2rem}.callout.callout-style-simple .callout-icon::before,.callout.callout-style-simple .callout-toggle::before{height:1rem;width:1rem;display:inline-block;content:"";background-repeat:no-repeat;background-size:1rem 1rem}.callout.callout-style-default .callout-icon::before,.callout.callout-style-default .callout-toggle::before{height:.9rem;width:.9rem;display:inline-block;content:"";background-repeat:no-repeat;background-size:.9rem .9rem}.callout.callout-style-default .callout-toggle::before{margin-top:5px}.callout .callout-btn-toggle .callout-toggle::before{transition:transform .2s linear}.callout .callout-header[aria-expanded=false] .callout-toggle::before{transform:rotate(-90deg)}.callout .callout-header[aria-expanded=true] .callout-toggle::before{transform:none}.callout.callout-style-simple:not(.no-icon) div.callout-icon-container{padding-top:.2em;padding-right:.55em}.callout.callout-style-default:not(.no-icon) div.callout-icon-container{padding-top:.1em;padding-right:.35em}.callout.callout-style-default:not(.no-icon) div.callout-caption-container{margin-top:-1px}.callout.callout-style-default.callout-caution:not(.no-icon) div.callout-icon-container{padding-top:.3em;padding-right:.35em}.callout>.callout-body>.callout-icon-container>.no-icon,.callout>.callout-header>.callout-icon-container>.no-icon{display:none}div.callout.callout{border-left-color:#6c757d}div.callout.callout-style-default>.callout-header{background-color:#6c757d}div.callout-note.callout{border-left-color:#007bff}div.callout-note.callout-style-default>.callout-header{background-color:#e6f2ff}div.callout-note:not(.callout-captioned) .callout-icon::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" style="fill: %23006fe6" class="bi bi-info-circle" viewBox="0 0 16 16"><path d="M8 15A7 7 0 1 1 8 1a7 7 0 0 1 0 14zm0 1A8 8 0 1 0 8 0a8 8 0 0 0 0 16z"/><path d="m8.93 6.588-2.29.287-.082.38.45.083c.294.07.352.176.288.469l-.738 3.468c-.194.897.105 1.319.808 1.319.545 0 1.178-.252 1.465-.598l.088-.416c-.2.176-.492.246-.686.246-.275 0-.375-.193-.304-.533L8.93 6.588zM9 4.5a1 1 0 1 1-2 0 1 1 0 0 1 2 0z"/></svg>');}div.callout-note.callout-captioned .callout-icon::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" style="fill: %23006fe6" class="bi bi-info-circle" viewBox="0 0 16 16"><path d="M8 15A7 7 0 1 1 8 1a7 7 0 0 1 0 14zm0 1A8 8 0 1 0 8 0a8 8 0 0 0 0 16z"/><path d="m8.93 6.588-2.29.287-.082.38.45.083c.294.07.352.176.288.469l-.738 3.468c-.194.897.105 1.319.808 1.319.545 0 1.178-.252 1.465-.598l.088-.416c-.2.176-.492.246-.686.246-.275 0-.375-.193-.304-.533L8.93 6.588zM9 4.5a1 1 0 1 1-2 0 1 1 0 0 1 2 0z"/></svg>');}div.callout-note .callout-toggle::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgb(85, 89, 92)" class="bi bi-chevron-down" viewBox="0 0 16 16"><path fill-rule="evenodd" d="M1.646 4.646a.5.5 0 0 1 .708 0L8 10.293l5.646-5.647a.5.5 0 0 1 .708.708l-6 6a.5.5 0 0 1-.708 0l-6-6a.5.5 0 0 1 0-.708z"/></svg>')}div.callout-tip.callout{border-left-color:#4bbf73}div.callout-tip.callout-style-default>.callout-header{background-color:#edf9f1}div.callout-tip:not(.callout-captioned) .callout-icon::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" style="fill: %2344ac68" class="bi bi-lightbulb" viewBox="0 0 16 16"><path d="M2 6a6 6 0 1 1 10.174 4.31c-.203.196-.359.4-.453.619l-.762 1.769A.5.5 0 0 1 10.5 13a.5.5 0 0 1 0 1 .5.5 0 0 1 0 1l-.224.447a1 1 0 0 1-.894.553H6.618a1 1 0 0 1-.894-.553L5.5 15a.5.5 0 0 1 0-1 .5.5 0 0 1 0-1 .5.5 0 0 1-.46-.302l-.761-1.77a1.964 1.964 0 0 0-.453-.618A5.984 5.984 0 0 1 2 6zm6-5a5 5 0 0 0-3.479 8.592c.263.254.514.564.676.941L5.83 12h4.342l.632-1.467c.162-.377.413-.687.676-.941A5 5 0 0 0 8 1z"/></svg>');}div.callout-tip.callout-captioned .callout-icon::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" style="fill: %2344ac68" class="bi bi-lightbulb" viewBox="0 0 16 16"><path d="M2 6a6 6 0 1 1 10.174 4.31c-.203.196-.359.4-.453.619l-.762 1.769A.5.5 0 0 1 10.5 13a.5.5 0 0 1 0 1 .5.5 0 0 1 0 1l-.224.447a1 1 0 0 1-.894.553H6.618a1 1 0 0 1-.894-.553L5.5 15a.5.5 0 0 1 0-1 .5.5 0 0 1 0-1 .5.5 0 0 1-.46-.302l-.761-1.77a1.964 1.964 0 0 0-.453-.618A5.984 5.984 0 0 1 2 6zm6-5a5 5 0 0 0-3.479 8.592c.263.254.514.564.676.941L5.83 12h4.342l.632-1.467c.162-.377.413-.687.676-.941A5 5 0 0 0 8 1z"/></svg>');}div.callout-tip .callout-toggle::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgb(85, 89, 92)" class="bi bi-chevron-down" viewBox="0 0 16 16"><path fill-rule="evenodd" d="M1.646 4.646a.5.5 0 0 1 .708 0L8 10.293l5.646-5.647a.5.5 0 0 1 .708.708l-6 6a.5.5 0 0 1-.708 0l-6-6a.5.5 0 0 1 0-.708z"/></svg>')}div.callout-warning.callout{border-left-color:#f0ad4e}div.callout-warning.callout-style-default>.callout-header{background-color:#fef7ed}div.callout-warning:not(.callout-captioned) .callout-icon::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" style="fill: %23d89c46" class="bi bi-exclamation-triangle" viewBox="0 0 16 16"><path d="M7.938 2.016A.13.13 0 0 1 8.002 2a.13.13 0 0 1 .063.016.146.146 0 0 1 .054.057l6.857 11.667c.036.06.035.124.002.183a.163.163 0 0 1-.054.06.116.116 0 0 1-.066.017H1.146a.115.115 0 0 1-.066-.017.163.163 0 0 1-.054-.06.176.176 0 0 1 .002-.183L7.884 2.073a.147.147 0 0 1 .054-.057zm1.044-.45a1.13 1.13 0 0 0-1.96 0L.165 13.233c-.457.778.091 1.767.98 1.767h13.713c.889 0 1.438-.99.98-1.767L8.982 1.566z"/><path d="M7.002 12a1 1 0 1 1 2 0 1 1 0 0 1-2 0zM7.1 5.995a.905.905 0 1 1 1.8 0l-.35 3.507a.552.552 0 0 1-1.1 0L7.1 5.995z"/></svg>');}div.callout-warning.callout-captioned .callout-icon::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" style="fill: %23d89c46" class="bi bi-exclamation-triangle" viewBox="0 0 16 16"><path d="M7.938 2.016A.13.13 0 0 1 8.002 2a.13.13 0 0 1 .063.016.146.146 0 0 1 .054.057l6.857 11.667c.036.06.035.124.002.183a.163.163 0 0 1-.054.06.116.116 0 0 1-.066.017H1.146a.115.115 0 0 1-.066-.017.163.163 0 0 1-.054-.06.176.176 0 0 1 .002-.183L7.884 2.073a.147.147 0 0 1 .054-.057zm1.044-.45a1.13 1.13 0 0 0-1.96 0L.165 13.233c-.457.778.091 1.767.98 1.767h13.713c.889 0 1.438-.99.98-1.767L8.982 1.566z"/><path d="M7.002 12a1 1 0 1 1 2 0 1 1 0 0 1-2 0zM7.1 5.995a.905.905 0 1 1 1.8 0l-.35 3.507a.552.552 0 0 1-1.1 0L7.1 5.995z"/></svg>');}div.callout-warning .callout-toggle::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgb(85, 89, 92)" class="bi bi-chevron-down" viewBox="0 0 16 16"><path fill-rule="evenodd" d="M1.646 4.646a.5.5 0 0 1 .708 0L8 10.293l5.646-5.647a.5.5 0 0 1 .708.708l-6 6a.5.5 0 0 1-.708 0l-6-6a.5.5 0 0 1 0-.708z"/></svg>')}div.callout-caution.callout{border-left-color:#fd7e14}div.callout-caution.callout-style-default>.callout-header{background-color:#fff2e8}div.callout-caution:not(.callout-captioned) .callout-icon::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" style="fill: %23e47112" class="bi bi-cone-striped" viewBox="0 0 16 16"><path d="M9.97 4.88l.953 3.811C10.158 8.878 9.14 9 8 9c-1.14 0-2.159-.122-2.923-.309L6.03 4.88C6.635 4.957 7.3 5 8 5s1.365-.043 1.97-.12zm-.245-.978L8.97.88C8.718-.13 7.282-.13 7.03.88L6.274 3.9C6.8 3.965 7.382 4 8 4c.618 0 1.2-.036 1.725-.098zm4.396 8.613a.5.5 0 0 1 .037.96l-6 2a.5.5 0 0 1-.316 0l-6-2a.5.5 0 0 1 .037-.96l2.391-.598.565-2.257c.862.212 1.964.339 3.165.339s2.303-.127 3.165-.339l.565 2.257 2.391.598z"/></svg>');}div.callout-caution.callout-captioned .callout-icon::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" style="fill: %23e47112" class="bi bi-cone-striped" viewBox="0 0 16 16"><path d="M9.97 4.88l.953 3.811C10.158 8.878 9.14 9 8 9c-1.14 0-2.159-.122-2.923-.309L6.03 4.88C6.635 4.957 7.3 5 8 5s1.365-.043 1.97-.12zm-.245-.978L8.97.88C8.718-.13 7.282-.13 7.03.88L6.274 3.9C6.8 3.965 7.382 4 8 4c.618 0 1.2-.036 1.725-.098zm4.396 8.613a.5.5 0 0 1 .037.96l-6 2a.5.5 0 0 1-.316 0l-6-2a.5.5 0 0 1 .037-.96l2.391-.598.565-2.257c.862.212 1.964.339 3.165.339s2.303-.127 3.165-.339l.565 2.257 2.391.598z"/></svg>');}div.callout-caution .callout-toggle::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgb(85, 89, 92)" class="bi bi-chevron-down" viewBox="0 0 16 16"><path fill-rule="evenodd" d="M1.646 4.646a.5.5 0 0 1 .708 0L8 10.293l5.646-5.647a.5.5 0 0 1 .708.708l-6 6a.5.5 0 0 1-.708 0l-6-6a.5.5 0 0 1 0-.708z"/></svg>')}div.callout-important.callout{border-left-color:#d9534f}div.callout-important.callout-style-default>.callout-header{background-color:#fbeeed}div.callout-important:not(.callout-captioned) .callout-icon::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" style="fill: %23c34b47" class="bi bi-exclamation-circle" viewBox="0 0 16 16"><path d="M8 15A7 7 0 1 1 8 1a7 7 0 0 1 0 14zm0 1A8 8 0 1 0 8 0a8 8 0 0 0 0 16z"/><path d="M7.002 11a1 1 0 1 1 2 0 1 1 0 0 1-2 0zM7.1 4.995a.905.905 0 1 1 1.8 0l-.35 3.507a.552.552 0 0 1-1.1 0L7.1 4.995z"/></svg>');}div.callout-important.callout-captioned .callout-icon::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" style="fill: %23c34b47" class="bi bi-exclamation-circle" viewBox="0 0 16 16"><path d="M8 15A7 7 0 1 1 8 1a7 7 0 0 1 0 14zm0 1A8 8 0 1 0 8 0a8 8 0 0 0 0 16z"/><path d="M7.002 11a1 1 0 1 1 2 0 1 1 0 0 1-2 0zM7.1 4.995a.905.905 0 1 1 1.8 0l-.35 3.507a.552.552 0 0 1-1.1 0L7.1 4.995z"/></svg>');}div.callout-important .callout-toggle::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgb(85, 89, 92)" class="bi bi-chevron-down" viewBox="0 0 16 16"><path fill-rule="evenodd" d="M1.646 4.646a.5.5 0 0 1 .708 0L8 10.293l5.646-5.647a.5.5 0 0 1 .708.708l-6 6a.5.5 0 0 1-.708 0l-6-6a.5.5 0 0 1 0-.708z"/></svg>')}.quarto-toggle-container{display:flex;align-items:center}@media(min-width: 992px){.navbar .quarto-color-scheme-toggle{padding-left:.5rem;padding-right:.5rem}}@media(max-width: 767.98px){.navbar .quarto-color-scheme-toggle{padding-left:0;padding-right:0;padding-bottom:.5em}}.quarto-reader-toggle .bi::before,.quarto-color-scheme-toggle .bi::before{display:inline-block;height:1rem;width:1rem;content:"";background-repeat:no-repeat;background-size:1rem 1rem}.navbar-collapse .quarto-color-scheme-toggle{padding-left:.6rem;padding-right:0;margin-top:-12px}.sidebar-navigation{padding-left:20px}.sidebar-navigation .quarto-color-scheme-toggle .bi::before{padding-top:.2rem;margin-bottom:-0.2rem}.sidebar-tools-main .quarto-color-scheme-toggle .bi::before{padding-top:.2rem;margin-bottom:-0.2rem}.navbar .quarto-color-scheme-toggle .bi::before{padding-top:7px;margin-bottom:-7px;padding-left:2px;margin-right:2px}.navbar .quarto-color-scheme-toggle:not(.alternate) .bi::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgba(166, 166, 166, 1)" class="bi bi-toggle-off" viewBox="0 0 16 16"><path d="M11 4a4 4 0 0 1 0 8H8a4.992 4.992 0 0 0 2-4 4.992 4.992 0 0 0-2-4h3zm-6 8a4 4 0 1 1 0-8 4 4 0 0 1 0 8zM0 8a5 5 0 0 0 5 5h6a5 5 0 0 0 0-10H5a5 5 0 0 0-5 5z"/></svg>')}.navbar .quarto-color-scheme-toggle.alternate .bi::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgba(166, 166, 166, 1)" class="bi bi-toggle-on" viewBox="0 0 16 16"><path d="M5 3a5 5 0 0 0 0 10h6a5 5 0 0 0 0-10H5zm6 9a4 4 0 1 1 0-8 4 4 0 0 1 0 8z"/></svg>')}.sidebar-navigation .quarto-color-scheme-toggle:not(.alternate) .bi::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgba(109, 115, 119, 1)" class="bi bi-toggle-off" viewBox="0 0 16 16"><path d="M11 4a4 4 0 0 1 0 8H8a4.992 4.992 0 0 0 2-4 4.992 4.992 0 0 0-2-4h3zm-6 8a4 4 0 1 1 0-8 4 4 0 0 1 0 8zM0 8a5 5 0 0 0 5 5h6a5 5 0 0 0 0-10H5a5 5 0 0 0-5 5z"/></svg>')}.sidebar-navigation .quarto-color-scheme-toggle.alternate .bi::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgba(109, 115, 119, 1)" class="bi bi-toggle-on" viewBox="0 0 16 16"><path d="M5 3a5 5 0 0 0 0 10h6a5 5 0 0 0 0-10H5zm6 9a4 4 0 1 1 0-8 4 4 0 0 1 0 8z"/></svg>')}.quarto-sidebar-toggle{border-color:#dee2e6;border-bottom-left-radius:.25rem;border-bottom-right-radius:.25rem;border-style:solid;border-width:1px;overflow:hidden;border-top-width:0px;padding-top:0px !important}.quarto-sidebar-toggle-title{cursor:pointer;padding-bottom:2px;margin-left:.25em;text-align:center;font-weight:400;font-size:.775em}#quarto-content .quarto-sidebar-toggle{background:#fafafa}#quarto-content .quarto-sidebar-toggle-title{color:#55595c}.quarto-sidebar-toggle-icon{color:#dee2e6;margin-right:.5em;float:right;transition:transform .2s ease}.quarto-sidebar-toggle-icon::before{padding-top:5px}.quarto-sidebar-toggle.expanded .quarto-sidebar-toggle-icon{transform:rotate(-180deg)}.quarto-sidebar-toggle.expanded .quarto-sidebar-toggle-title{border-bottom:solid #dee2e6 1px}.quarto-sidebar-toggle-contents{background-color:#fff;padding-right:10px;padding-left:10px;margin-top:0px !important;transition:max-height .5s ease}.quarto-sidebar-toggle.expanded .quarto-sidebar-toggle-contents{padding-top:1em;padding-bottom:10px}.quarto-sidebar-toggle:not(.expanded) .quarto-sidebar-toggle-contents{padding-top:0px !important;padding-bottom:0px}nav[role=doc-toc]{z-index:1020}#quarto-sidebar>*,nav[role=doc-toc]>*{transition:opacity .1s ease,border .1s ease}#quarto-sidebar.slow>*,nav[role=doc-toc].slow>*{transition:opacity .4s ease,border .4s ease}.quarto-color-scheme-toggle:not(.alternate).top-right .bi::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgba(175, 178, 181, 1)" class="bi bi-toggle-off" viewBox="0 0 16 16"><path d="M11 4a4 4 0 0 1 0 8H8a4.992 4.992 0 0 0 2-4 4.992 4.992 0 0 0-2-4h3zm-6 8a4 4 0 1 1 0-8 4 4 0 0 1 0 8zM0 8a5 5 0 0 0 5 5h6a5 5 0 0 0 0-10H5a5 5 0 0 0-5 5z"/></svg>')}.quarto-color-scheme-toggle.alternate.top-right .bi::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgba(135, 140, 144, 1)" class="bi bi-toggle-on" viewBox="0 0 16 16"><path d="M5 3a5 5 0 0 0 0 10h6a5 5 0 0 0 0-10H5zm6 9a4 4 0 1 1 0-8 4 4 0 0 1 0 8z"/></svg>')}#quarto-appendix.default{border-top:1px solid #dee2e6}#quarto-appendix.default{background-color:#fff;padding-top:1.5em;margin-top:2em;z-index:998}#quarto-appendix.default .quarto-appendix-heading{margin-top:0;line-height:1.4em;font-weight:600;opacity:.9;border-bottom:none;margin-bottom:0}#quarto-appendix.default .footnotes ol,#quarto-appendix.default .footnotes ol li>p:last-of-type,#quarto-appendix.default .quarto-appendix-contents>p:last-of-type{margin-bottom:0}#quarto-appendix.default .quarto-appendix-secondary-label{margin-bottom:.4em}#quarto-appendix.default .quarto-appendix-bibtex{font-size:.7em;padding:1em;border:solid 1px #dee2e6;margin-bottom:1em}#quarto-appendix.default .quarto-appendix-bibtex code.sourceCode{white-space:pre-wrap}#quarto-appendix.default .quarto-appendix-citeas{font-size:.9em;padding:1em;border:solid 1px #dee2e6;margin-bottom:1em}#quarto-appendix.default .quarto-appendix-heading{font-size:1em !important}#quarto-appendix.default *[role=doc-endnotes]>ol,#quarto-appendix.default .quarto-appendix-contents>*:not(h2):not(.h2){font-size:.9em}#quarto-appendix.default section{padding-bottom:1.5em}#quarto-appendix.default section *[role=doc-endnotes],#quarto-appendix.default section>*:not(a){opacity:.9;word-wrap:break-word}.btn.btn-quarto,div.cell-output-display .btn-quarto{color:#595959;background-color:#fff;border-color:#fff}.btn.btn-quarto:hover,div.cell-output-display .btn-quarto:hover{color:#595959;background-color:#fff;border-color:#fff}.btn-check:focus+.btn.btn-quarto,.btn.btn-quarto:focus,.btn-check:focus+div.cell-output-display .btn-quarto,div.cell-output-display .btn-quarto:focus{color:#595959;background-color:#fff;border-color:#fff;box-shadow:0 0 0 .25rem rgba(230,230,230,.5)}.btn-check:checked+.btn.btn-quarto,.btn-check:active+.btn.btn-quarto,.btn.btn-quarto:active,.btn.btn-quarto.active,.show>.btn.btn-quarto.dropdown-toggle,.btn-check:checked+div.cell-output-display .btn-quarto,.btn-check:active+div.cell-output-display .btn-quarto,div.cell-output-display .btn-quarto:active,div.cell-output-display .btn-quarto.active,.show>div.cell-output-display .btn-quarto.dropdown-toggle{color:#000;background-color:#fff;border-color:#fff}.btn-check:checked+.btn.btn-quarto:focus,.btn-check:active+.btn.btn-quarto:focus,.btn.btn-quarto:active:focus,.btn.btn-quarto.active:focus,.show>.btn.btn-quarto.dropdown-toggle:focus,.btn-check:checked+div.cell-output-display .btn-quarto:focus,.btn-check:active+div.cell-output-display .btn-quarto:focus,div.cell-output-display .btn-quarto:active:focus,div.cell-output-display .btn-quarto.active:focus,.show>div.cell-output-display .btn-quarto.dropdown-toggle:focus{box-shadow:0 0 0 .25rem rgba(230,230,230,.5)}.btn.btn-quarto:disabled,.btn.btn-quarto.disabled,div.cell-output-display .btn-quarto:disabled,div.cell-output-display .btn-quarto.disabled{color:#000;background-color:#fff;border-color:#fff}nav.quarto-secondary-nav.color-navbar{background-color:#1a1a1a;color:#a6a6a6}nav.quarto-secondary-nav.color-navbar h1,nav.quarto-secondary-nav.color-navbar .h1,nav.quarto-secondary-nav.color-navbar .quarto-btn-toggle{color:#a6a6a6}@media(max-width: 991.98px){body.nav-sidebar .quarto-title-banner,body.nav-sidebar .quarto-title-banner{display:none}}p.subtitle{margin-top:.25em;margin-bottom:.5em}code a:any-link{color:inherit;text-decoration-color:#6c757d}/*! light */div.observablehq table thead tr th{background-color:var(--bs-body-bg)}input,button,select,optgroup,textarea{background-color:var(--bs-body-bg)}@media print{.page-columns .column-screen-inset{grid-column:page-start-inset/page-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset table{background:#fff}.page-columns .column-screen-inset-left{grid-column:page-start-inset/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset-left table{background:#fff}.page-columns .column-screen-inset-right{grid-column:body-content-start/page-end-inset;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-inset-right table{background:#fff}.page-columns .column-screen{grid-column:page-start/page-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen table{background:#fff}.page-columns .column-screen-left{grid-column:page-start/body-content-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-left table{background:#fff}.page-columns .column-screen-right{grid-column:body-content-start/page-end;z-index:998;transform:translate3d(0, 0, 0)}.page-columns .column-screen-right table{background:#fff}.page-columns .column-screen-inset-shaded{grid-column:page-start-inset/page-end-inset;padding:1em;background:#fff;z-index:998;transform:translate3d(0, 0, 0);margin-bottom:1em}}.quarto-video{margin-bottom:1em}a.external:after{display:inline-block;height:.75rem;width:.75rem;margin-bottom:.15em;margin-left:.25em;content:"";vertical-align:-0.125em;background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgb(26, 26, 26)" class="bi bi-box-arrow-up-right" viewBox="0 0 16 16"><path fill-rule="evenodd" d="M8.636 3.5a.5.5 0 0 0-.5-.5H1.5A1.5 1.5 0 0 0 0 4.5v10A1.5 1.5 0 0 0 1.5 16h10a1.5 1.5 0 0 0 1.5-1.5V7.864a.5.5 0 0 0-1 0V14.5a.5.5 0 0 1-.5.5h-10a.5.5 0 0 1-.5-.5v-10a.5.5 0 0 1 .5-.5h6.636a.5.5 0 0 0 .5-.5z"/><path fill-rule="evenodd" d="M16 .5a.5.5 0 0 0-.5-.5h-5a.5.5 0 0 0 0 1h3.793L6.146 9.146a.5.5 0 1 0 .708.708L15 1.707V5.5a.5.5 0 0 0 1 0v-5z"/></svg>');background-repeat:no-repeat;background-size:.75rem .75rem}a.external:after:hover{cursor:pointer}.quarto-ext-icon{display:inline-block;font-size:.75em;padding-left:.3em}.code-with-filename .code-with-filename-file{margin-bottom:0;padding-bottom:2px;padding-top:2px;padding-left:.7em;border:var(--quarto-border-width) solid var(--quarto-border-color);border-radius:var(--quarto-border-radius);border-bottom:0;border-bottom-left-radius:0%;border-bottom-right-radius:0%}.code-with-filename div.sourceCode,.reveal .code-with-filename div.sourceCode{margin-top:0;border-top-left-radius:0%;border-top-right-radius:0%}.code-with-filename .code-with-filename-file pre{margin-bottom:0}.code-with-filename .code-with-filename-file,.code-with-filename .code-with-filename-file pre{background-color:rgba(219,219,219,.8)}.quarto-dark .code-with-filename .code-with-filename-file,.quarto-dark .code-with-filename .code-with-filename-file pre{background-color:#555}.code-with-filename .code-with-filename-file strong{font-weight:400}.quarto-title-banner{margin-bottom:1em;color:#a6a6a6;background:#1a1a1a}.quarto-title-banner .code-tools-button{color:#737373}.quarto-title-banner .code-tools-button:hover{color:#a6a6a6}.quarto-title-banner .code-tools-button>.bi::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgb(115, 115, 115)" viewBox="0 0 16 16"><path d="M10.478 1.647a.5.5 0 1 0-.956-.294l-4 13a.5.5 0 0 0 .956.294l4-13zM4.854 4.146a.5.5 0 0 1 0 .708L1.707 8l3.147 3.146a.5.5 0 0 1-.708.708l-3.5-3.5a.5.5 0 0 1 0-.708l3.5-3.5a.5.5 0 0 1 .708 0zm6.292 0a.5.5 0 0 0 0 .708L14.293 8l-3.147 3.146a.5.5 0 0 0 .708.708l3.5-3.5a.5.5 0 0 0 0-.708l-3.5-3.5a.5.5 0 0 0-.708 0z"/></svg>')}.quarto-title-banner .code-tools-button:hover>.bi::before{background-image:url('data:image/svg+xml,<svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="rgb(166, 166, 166)" viewBox="0 0 16 16"><path d="M10.478 1.647a.5.5 0 1 0-.956-.294l-4 13a.5.5 0 0 0 .956.294l4-13zM4.854 4.146a.5.5 0 0 1 0 .708L1.707 8l3.147 3.146a.5.5 0 0 1-.708.708l-3.5-3.5a.5.5 0 0 1 0-.708l3.5-3.5a.5.5 0 0 1 .708 0zm6.292 0a.5.5 0 0 0 0 .708L14.293 8l-3.147 3.146a.5.5 0 0 0 .708.708l3.5-3.5a.5.5 0 0 0 0-.708l-3.5-3.5a.5.5 0 0 0-.708 0z"/></svg>')}.quarto-title-banner .quarto-title .title{font-weight:600}.quarto-title-banner .quarto-categories{margin-top:.75em}@media(min-width: 992px){.quarto-title-banner{padding-top:2.5em;padding-bottom:2.5em}}@media(max-width: 991.98px){.quarto-title-banner{padding-top:1em;padding-bottom:1em}}main.quarto-banner-title-block section:first-of-type h2:first-of-type,main.quarto-banner-title-block section:first-of-type .h2:first-of-type,main.quarto-banner-title-block section:first-of-type h3:first-of-type,main.quarto-banner-title-block section:first-of-type .h3:first-of-type,main.quarto-banner-title-block section:first-of-type h4:first-of-type,main.quarto-banner-title-block section:first-of-type .h4:first-of-type{margin-top:0}.quarto-title .quarto-categories{display:flex;column-gap:.4em;padding-bottom:.5em;margin-top:.75em}.quarto-title .quarto-categories .quarto-category{padding:.25em .75em;font-size:.65em;text-transform:uppercase;border:solid 1px;border-radius:.25rem;opacity:.6}.quarto-title .quarto-categories .quarto-category a{color:inherit}#title-block-header.quarto-title-block.default .quarto-title-meta{display:grid;grid-template-columns:repeat(2, 1fr)}#title-block-header.quarto-title-block.default .quarto-title .title{margin-bottom:0}#title-block-header.quarto-title-block.default .quarto-title-author-orcid img{margin-top:-5px}#title-block-header.quarto-title-block.default .quarto-description p:last-of-type{margin-bottom:0}#title-block-header.quarto-title-block.default .quarto-title-meta-contents p,#title-block-header.quarto-title-block.default .quarto-title-authors p,#title-block-header.quarto-title-block.default .quarto-title-affiliations p{margin-bottom:.1em}#title-block-header.quarto-title-block.default .quarto-title-meta-heading{text-transform:uppercase;margin-top:1em;font-size:.8em;opacity:.8;font-weight:400}#title-block-header.quarto-title-block.default .quarto-title-meta-contents{font-size:.9em}#title-block-header.quarto-title-block.default .quarto-title-meta-contents a{color:#55595c}#title-block-header.quarto-title-block.default .quarto-title-meta-contents p.affiliation:last-of-type{margin-bottom:.7em}#title-block-header.quarto-title-block.default p.affiliation{margin-bottom:.1em}#title-block-header.quarto-title-block.default .description,#title-block-header.quarto-title-block.default .abstract{margin-top:0}#title-block-header.quarto-title-block.default .description>p,#title-block-header.quarto-title-block.default .abstract>p{font-size:.9em}#title-block-header.quarto-title-block.default .description>p:last-of-type,#title-block-header.quarto-title-block.default .abstract>p:last-of-type{margin-bottom:0}#title-block-header.quarto-title-block.default .description .abstract-title,#title-block-header.quarto-title-block.default .abstract .abstract-title{margin-top:1em;text-transform:uppercase;font-size:.8em;opacity:.8;font-weight:400}#title-block-header.quarto-title-block.default .quarto-title-meta-author{display:grid;grid-template-columns:1fr 1fr}.navbar{font-size:.875rem;text-transform:uppercase;font-weight:600}.navbar-nav .nav-link{padding-top:.715rem;padding-bottom:.715rem}.navbar-brand{margin-right:2rem}.bg-primary{background-color:theme-color("primary") !important}.bg-light{border:1px solid rgba(0,0,0,.1)}.bg-light.navbar-fixed-top{border-width:0 0 1px}.bg-light.navbar-bottom-top{border-width:1px 0 0}.nav-item{margin-right:2rem}.btn{font-size:.875rem;text-transform:uppercase}.btn-sm,.btn-group-sm>.btn{font-size:10px}.btn-warning,.btn-warning:hover,.btn-warning:not([disabled]):not(.disabled):active,.btn-warning:focus{color:#fff}.btn-outline-secondary{border-color:#6c757d;color:#6c757d}.btn-outline-secondary:not([disabled]):not(.disabled):hover,.btn-outline-secondary:not([disabled]):not(.disabled):focus,.btn-outline-secondary:not([disabled]):not(.disabled):active{background-color:#ced4da;border-color:#ced4da;color:#fff}.btn-outline-secondary:not([disabled]):not(.disabled):focus{box-shadow:0 0 0 .2rem rgba(206,212,218,.5)}[class*=btn-outline-]{border-width:2px}.border-secondary{border:1px solid #ced4da !important}body{font-weight:200;letter-spacing:1px}h1,.h1,h2,.h2,h3,.h3,h4,.h4,h5,.h5,h6,.h6{text-transform:uppercase;letter-spacing:3px}.text-secondary{color:#55595c !important}th{font-size:.875rem;text-transform:uppercase}.table th,.table td{padding:1.5rem}.table-sm th,.table-sm td{padding:.75rem}.dropdown-menu{font-size:.875rem;text-transform:none}.badge{padding-top:.28rem}.badge-pill{border-radius:10rem}.badge.bg-secondary,.badge.bg-light{color:#343a40}.list-group-item h1,.list-group-item h2,.list-group-item h3,.list-group-item h4,.list-group-item h5,.list-group-item h6,.list-group-item .h1,.list-group-item .h2,.list-group-item .h3,.list-group-item .h4,.list-group-item .h5,.list-group-item .h6{color:inherit}.card-title,.card-header{color:inherit}/*# sourceMappingURL=e1216e6609a5f35c251b7a8016ac7da4.css.map */
diff --git a/docs/time_tree.html b/docs/time_tree.html
index aac2a2f..819fd7a 100644
--- a/docs/time_tree.html
+++ b/docs/time_tree.html
@@ -181,7 +181,9 @@
     <h2 id="toc-title">Page Contents</h2>
    
   <ul class="collapse">
-  <li><a href="#time-calibrated-phylogenies" id="toc-time-calibrated-phylogenies" class="nav-link active" data-scroll-target="#time-calibrated-phylogenies">Time Calibrated Phylogenies</a></li>
+  <li><a href="#serotype-a" id="toc-serotype-a" class="nav-link active" data-scroll-target="#serotype-a">Serotype A</a></li>
+  <li><a href="#serotype-asia1" id="toc-serotype-asia1" class="nav-link" data-scroll-target="#serotype-asia1">Serotype Asia1</a></li>
+  <li><a href="#serotype-o" id="toc-serotype-o" class="nav-link" data-scroll-target="#serotype-o">Serotype O</a></li>
   </ul>
 </nav>
     </div>
@@ -228,10 +230,8 @@ <h1 class="title">Time Calibrated Phylogenies</h1>
 <div class="cell">
 
 </div>
-<section id="time-calibrated-phylogenies" class="level2">
-<h2 class="anchored" data-anchor-id="time-calibrated-phylogenies">Time Calibrated Phylogenies</h2>
-<section id="serotype-a" class="level3">
-<h3 class="anchored" data-anchor-id="serotype-a">Serotype A</h3>
+<section id="serotype-a" class="level2">
+<h2 class="anchored" data-anchor-id="serotype-a">Serotype A</h2>
 <p>Check tree model statistics the <em>get_tracer_stats()</em> function calculates similar summary statistics as the Tracer software typically used with BEAST.</p>
 <div class="cell">
 <details open="">
@@ -262,7 +262,7 @@ <h3 class="anchored" data-anchor-id="serotype-a">Serotype A</h3>
 <div class="cell-output-display">
 
 <div style="all:initial" ;="">
-<div id="hvkhboknlp" style="padding-left:0px;padding-right:0px;padding-top:10px;padding-bottom:10px;overflow-x:auto;overflow-y:auto;width:auto;height:auto;">
+<div id="uwwukliqfq" style="padding-left:0px;padding-right:0px;padding-top:10px;padding-bottom:10px;overflow-x:auto;overflow-y:auto;width:auto;height:auto;">
   
   <table class="gt_table" style="-webkit-font-smoothing: antialiased; -moz-osx-font-smoothing: grayscale; font-family: system-ui, 'Segoe UI', Roboto, Helvetica, Arial, sans-serif, 'Apple Color Emoji', 'Segoe UI Emoji', 'Segoe UI Symbol', 'Noto Color Emoji'; display: table; border-collapse: collapse; line-height: normal; margin-left: auto; margin-right: auto; color: #333333; font-size: small; font-weight: normal; font-style: normal; background-color: #FFFFFF; border-top-style: solid; border-top-width: 2px; border-top-color: #5F5F5F; border-right-style: none; border-right-width: 2px; border-right-color: #D3D3D3; border-bottom-style: solid; border-bottom-width: 2px; border-bottom-color: #5F5F5F; border-left-style: none; border-left-width: 2px; border-left-color: #D3D3D3; table-layout: fixed; width: 0px;" data-quarto-disable-processing="false" data-quarto-bootstrap="false" width="0" bgcolor="#FFFFFF">
   <colgroup>
@@ -362,15 +362,15 @@ <h3 class="anchored" data-anchor-id="serotype-a">Serotype A</h3>
 <div class="cell">
 <details open="">
 <summary>Hide code</summary>
-<div class="sourceCode cell-code" id="cb3"><pre class="sourceCode r code-with-copy"><code class="sourceCode r"><span id="cb3-1"><a href="#cb3-1" aria-hidden="true" tabindex="-1"></a><span class="fu">phylodynamic_process</span>(sero_A.tree, check_stats, <span class="at">x_limits =</span> <span class="fu">c</span>(<span class="st">"2009-01-01"</span>, <span class="st">"2017-01-01"</span>))</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div>
+<div class="sourceCode cell-code" id="cb3"><pre class="sourceCode r code-with-copy"><code class="sourceCode r"><span id="cb3-1"><a href="#cb3-1" aria-hidden="true" tabindex="-1"></a><span class="fu">phylodynamic_process</span>(sero_A.tree, check_stats, <span class="at">x_limits =</span> <span class="fu">c</span>(<span class="st">"2011-01-01"</span>, <span class="st">"2013-01-01"</span>))</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div>
 </details>
 <div class="cell-output-display">
 <p><img src="time_tree_files/figure-html/unnamed-chunk-5-1.png" class="img-fluid" width="768"></p>
 </div>
 </div>
 </section>
-<section id="serotype-asia1" class="level3">
-<h3 class="anchored" data-anchor-id="serotype-asia1">Serotype Asia1</h3>
+<section id="serotype-asia1" class="level2">
+<h2 class="anchored" data-anchor-id="serotype-asia1">Serotype Asia1</h2>
 <div class="cell">
 <details open="">
 <summary>Hide code</summary>
@@ -400,7 +400,7 @@ <h3 class="anchored" data-anchor-id="serotype-asia1">Serotype Asia1</h3>
 <div class="cell-output-display">
 
 <div style="all:initial" ;="">
-<div id="bbpbuynrbh" style="padding-left:0px;padding-right:0px;padding-top:10px;padding-bottom:10px;overflow-x:auto;overflow-y:auto;width:auto;height:auto;">
+<div id="wvqhqcrmfr" style="padding-left:0px;padding-right:0px;padding-top:10px;padding-bottom:10px;overflow-x:auto;overflow-y:auto;width:auto;height:auto;">
   
   <table class="gt_table" style="-webkit-font-smoothing: antialiased; -moz-osx-font-smoothing: grayscale; font-family: system-ui, 'Segoe UI', Roboto, Helvetica, Arial, sans-serif, 'Apple Color Emoji', 'Segoe UI Emoji', 'Segoe UI Symbol', 'Noto Color Emoji'; display: table; border-collapse: collapse; line-height: normal; margin-left: auto; margin-right: auto; color: #333333; font-size: small; font-weight: normal; font-style: normal; background-color: #FFFFFF; border-top-style: solid; border-top-width: 2px; border-top-color: #5F5F5F; border-right-style: none; border-right-width: 2px; border-right-color: #D3D3D3; border-bottom-style: solid; border-bottom-width: 2px; border-bottom-color: #5F5F5F; border-left-style: none; border-left-width: 2px; border-left-color: #D3D3D3; table-layout: fixed; width: 0px;" data-quarto-disable-processing="false" data-quarto-bootstrap="false" width="0" bgcolor="#FFFFFF">
   <colgroup>
@@ -495,47 +495,43 @@ <h3 class="anchored" data-anchor-id="serotype-asia1">Serotype Asia1</h3>
 <summary>Hide code</summary>
 <div class="sourceCode cell-code" id="cb6"><pre class="sourceCode r code-with-copy"><code class="sourceCode r"><span id="cb6-1"><a href="#cb6-1" aria-hidden="true" tabindex="-1"></a><span class="fu">phylodynamic_process</span>(sero_Asia1.tree, check_stats, <span class="at">x_limits =</span> <span class="fu">c</span>(<span class="st">"2011-01-01"</span>, <span class="st">"2013-01-01"</span>))</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div>
 </details>
-<div class="cell-output cell-output-stdout">
-<pre><code>
- *** inla.core.safe:  rerun to try to solve negative eigenvalue(s) in the Hessian </code></pre>
-</div>
 <div class="cell-output-display">
 <p><img src="time_tree_files/figure-html/unnamed-chunk-8-1.png" class="img-fluid" width="768"></p>
 </div>
 </div>
 </section>
-<section id="serotype-o" class="level3">
-<h3 class="anchored" data-anchor-id="serotype-o">Serotype O</h3>
+<section id="serotype-o" class="level2">
+<h2 class="anchored" data-anchor-id="serotype-o">Serotype O</h2>
 <div class="cell">
 <details open="">
 <summary>Hide code</summary>
-<div class="sourceCode cell-code" id="cb8"><pre class="sourceCode r code-with-copy"><code class="sourceCode r"><span id="cb8-1"><a href="#cb8-1" aria-hidden="true" tabindex="-1"></a>check_stats <span class="ot">&lt;-</span> <span class="fu">get_tracer_stats</span>(<span class="fu">here</span>(<span class="st">"local/beast/o_1/sero_0.log"</span>))</span>
-<span id="cb8-2"><a href="#cb8-2" aria-hidden="true" tabindex="-1"></a></span>
-<span id="cb8-3"><a href="#cb8-3" aria-hidden="true" tabindex="-1"></a>keep_stats <span class="ot">&lt;-</span> <span class="fu">c</span>(<span class="st">"joint"</span>, <span class="st">"prior"</span>, <span class="st">"likelihood"</span>, <span class="st">"treeModel.rootHeight"</span>, <span class="st">"age.root."</span>,</span>
-<span id="cb8-4"><a href="#cb8-4" aria-hidden="true" tabindex="-1"></a>                <span class="st">"treeLength"</span>, <span class="st">"tmrca.fmd_a_rev."</span>, <span class="st">"clock.rate"</span>)</span>
-<span id="cb8-5"><a href="#cb8-5" aria-hidden="true" tabindex="-1"></a></span>
-<span id="cb8-6"><a href="#cb8-6" aria-hidden="true" tabindex="-1"></a>check_stats <span class="sc">%&gt;%</span></span>
-<span id="cb8-7"><a href="#cb8-7" aria-hidden="true" tabindex="-1"></a>  <span class="fu">filter</span>(Parameter <span class="sc">%in%</span> keep_stats) <span class="sc">%&gt;%</span></span>
-<span id="cb8-8"><a href="#cb8-8" aria-hidden="true" tabindex="-1"></a>  <span class="fu">gt</span>() <span class="sc">%&gt;%</span></span>
-<span id="cb8-9"><a href="#cb8-9" aria-hidden="true" tabindex="-1"></a>  <span class="fu">tab_header</span>(</span>
-<span id="cb8-10"><a href="#cb8-10" aria-hidden="true" tabindex="-1"></a>    <span class="at">title =</span> <span class="fu">md</span>(<span class="st">"Serotype O Stats"</span>)) <span class="sc">%&gt;%</span></span>
-<span id="cb8-11"><a href="#cb8-11" aria-hidden="true" tabindex="-1"></a>  <span class="fu">cols_width</span>(<span class="fu">starts_with</span>(<span class="st">"Parameter"</span>) <span class="sc">~</span> <span class="fu">px</span>(<span class="dv">200</span>),</span>
-<span id="cb8-12"><a href="#cb8-12" aria-hidden="true" tabindex="-1"></a>             <span class="fu">starts_with</span>(<span class="st">"label"</span>) <span class="sc">~</span> <span class="fu">px</span>(<span class="dv">60</span>),</span>
-<span id="cb8-13"><a href="#cb8-13" aria-hidden="true" tabindex="-1"></a>             <span class="fu">everything</span>() <span class="sc">~</span> <span class="fu">px</span>(<span class="dv">95</span>)) <span class="sc">%&gt;%</span></span>
-<span id="cb8-14"><a href="#cb8-14" aria-hidden="true" tabindex="-1"></a>  <span class="fu">tab_options</span>(<span class="at">table.font.size =</span> <span class="st">"small"</span>,</span>
-<span id="cb8-15"><a href="#cb8-15" aria-hidden="true" tabindex="-1"></a>              <span class="at">row_group.font.size =</span> <span class="st">"small"</span>,</span>
-<span id="cb8-16"><a href="#cb8-16" aria-hidden="true" tabindex="-1"></a>              <span class="at">stub.font.size =</span> <span class="st">"small"</span>,</span>
-<span id="cb8-17"><a href="#cb8-17" aria-hidden="true" tabindex="-1"></a>              <span class="at">column_labels.font.size =</span> <span class="st">"medium"</span>,</span>
-<span id="cb8-18"><a href="#cb8-18" aria-hidden="true" tabindex="-1"></a>              <span class="at">heading.title.font.size =</span> <span class="st">"large"</span>,</span>
-<span id="cb8-19"><a href="#cb8-19" aria-hidden="true" tabindex="-1"></a>              <span class="at">data_row.padding =</span> <span class="fu">px</span>(<span class="dv">2</span>),</span>
-<span id="cb8-20"><a href="#cb8-20" aria-hidden="true" tabindex="-1"></a>              <span class="at">heading.title.font.weight =</span> <span class="st">"bold"</span>,</span>
-<span id="cb8-21"><a href="#cb8-21" aria-hidden="true" tabindex="-1"></a>              <span class="at">column_labels.font.weight =</span> <span class="st">"bold"</span>) <span class="sc">%&gt;%</span></span>
-<span id="cb8-22"><a href="#cb8-22" aria-hidden="true" tabindex="-1"></a>  <span class="fu">opt_stylize</span>(<span class="at">style =</span> <span class="dv">6</span>, <span class="at">color =</span> <span class="st">'gray'</span>)</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div>
+<div class="sourceCode cell-code" id="cb7"><pre class="sourceCode r code-with-copy"><code class="sourceCode r"><span id="cb7-1"><a href="#cb7-1" aria-hidden="true" tabindex="-1"></a>check_stats <span class="ot">&lt;-</span> <span class="fu">get_tracer_stats</span>(<span class="fu">here</span>(<span class="st">"local/beast/o_1/sero_0.log"</span>))</span>
+<span id="cb7-2"><a href="#cb7-2" aria-hidden="true" tabindex="-1"></a></span>
+<span id="cb7-3"><a href="#cb7-3" aria-hidden="true" tabindex="-1"></a>keep_stats <span class="ot">&lt;-</span> <span class="fu">c</span>(<span class="st">"joint"</span>, <span class="st">"prior"</span>, <span class="st">"likelihood"</span>, <span class="st">"treeModel.rootHeight"</span>, <span class="st">"age.root."</span>,</span>
+<span id="cb7-4"><a href="#cb7-4" aria-hidden="true" tabindex="-1"></a>                <span class="st">"treeLength"</span>, <span class="st">"tmrca.fmd_a_rev."</span>, <span class="st">"clock.rate"</span>)</span>
+<span id="cb7-5"><a href="#cb7-5" aria-hidden="true" tabindex="-1"></a></span>
+<span id="cb7-6"><a href="#cb7-6" aria-hidden="true" tabindex="-1"></a>check_stats <span class="sc">%&gt;%</span></span>
+<span id="cb7-7"><a href="#cb7-7" aria-hidden="true" tabindex="-1"></a>  <span class="fu">filter</span>(Parameter <span class="sc">%in%</span> keep_stats) <span class="sc">%&gt;%</span></span>
+<span id="cb7-8"><a href="#cb7-8" aria-hidden="true" tabindex="-1"></a>  <span class="fu">gt</span>() <span class="sc">%&gt;%</span></span>
+<span id="cb7-9"><a href="#cb7-9" aria-hidden="true" tabindex="-1"></a>  <span class="fu">tab_header</span>(</span>
+<span id="cb7-10"><a href="#cb7-10" aria-hidden="true" tabindex="-1"></a>    <span class="at">title =</span> <span class="fu">md</span>(<span class="st">"Serotype O Stats"</span>)) <span class="sc">%&gt;%</span></span>
+<span id="cb7-11"><a href="#cb7-11" aria-hidden="true" tabindex="-1"></a>  <span class="fu">cols_width</span>(<span class="fu">starts_with</span>(<span class="st">"Parameter"</span>) <span class="sc">~</span> <span class="fu">px</span>(<span class="dv">200</span>),</span>
+<span id="cb7-12"><a href="#cb7-12" aria-hidden="true" tabindex="-1"></a>             <span class="fu">starts_with</span>(<span class="st">"label"</span>) <span class="sc">~</span> <span class="fu">px</span>(<span class="dv">60</span>),</span>
+<span id="cb7-13"><a href="#cb7-13" aria-hidden="true" tabindex="-1"></a>             <span class="fu">everything</span>() <span class="sc">~</span> <span class="fu">px</span>(<span class="dv">95</span>)) <span class="sc">%&gt;%</span></span>
+<span id="cb7-14"><a href="#cb7-14" aria-hidden="true" tabindex="-1"></a>  <span class="fu">tab_options</span>(<span class="at">table.font.size =</span> <span class="st">"small"</span>,</span>
+<span id="cb7-15"><a href="#cb7-15" aria-hidden="true" tabindex="-1"></a>              <span class="at">row_group.font.size =</span> <span class="st">"small"</span>,</span>
+<span id="cb7-16"><a href="#cb7-16" aria-hidden="true" tabindex="-1"></a>              <span class="at">stub.font.size =</span> <span class="st">"small"</span>,</span>
+<span id="cb7-17"><a href="#cb7-17" aria-hidden="true" tabindex="-1"></a>              <span class="at">column_labels.font.size =</span> <span class="st">"medium"</span>,</span>
+<span id="cb7-18"><a href="#cb7-18" aria-hidden="true" tabindex="-1"></a>              <span class="at">heading.title.font.size =</span> <span class="st">"large"</span>,</span>
+<span id="cb7-19"><a href="#cb7-19" aria-hidden="true" tabindex="-1"></a>              <span class="at">data_row.padding =</span> <span class="fu">px</span>(<span class="dv">2</span>),</span>
+<span id="cb7-20"><a href="#cb7-20" aria-hidden="true" tabindex="-1"></a>              <span class="at">heading.title.font.weight =</span> <span class="st">"bold"</span>,</span>
+<span id="cb7-21"><a href="#cb7-21" aria-hidden="true" tabindex="-1"></a>              <span class="at">column_labels.font.weight =</span> <span class="st">"bold"</span>) <span class="sc">%&gt;%</span></span>
+<span id="cb7-22"><a href="#cb7-22" aria-hidden="true" tabindex="-1"></a>  <span class="fu">opt_stylize</span>(<span class="at">style =</span> <span class="dv">6</span>, <span class="at">color =</span> <span class="st">'gray'</span>)</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div>
 </details>
 <div class="cell-output-display">
 
 <div style="all:initial" ;="">
-<div id="wfgxaslfle" style="padding-left:0px;padding-right:0px;padding-top:10px;padding-bottom:10px;overflow-x:auto;overflow-y:auto;width:auto;height:auto;">
+<div id="iponsujrww" style="padding-left:0px;padding-right:0px;padding-top:10px;padding-bottom:10px;overflow-x:auto;overflow-y:auto;width:auto;height:auto;">
   
   <table class="gt_table" style="-webkit-font-smoothing: antialiased; -moz-osx-font-smoothing: grayscale; font-family: system-ui, 'Segoe UI', Roboto, Helvetica, Arial, sans-serif, 'Apple Color Emoji', 'Segoe UI Emoji', 'Segoe UI Symbol', 'Noto Color Emoji'; display: table; border-collapse: collapse; line-height: normal; margin-left: auto; margin-right: auto; color: #333333; font-size: small; font-weight: normal; font-style: normal; background-color: #FFFFFF; border-top-style: solid; border-top-width: 2px; border-top-color: #5F5F5F; border-right-style: none; border-right-width: 2px; border-right-color: #D3D3D3; border-bottom-style: solid; border-bottom-width: 2px; border-bottom-color: #5F5F5F; border-left-style: none; border-left-width: 2px; border-left-color: #D3D3D3; table-layout: fixed; width: 0px;" data-quarto-disable-processing="false" data-quarto-bootstrap="false" width="0" bgcolor="#FFFFFF">
   <colgroup>
@@ -616,9 +612,9 @@ <h3 class="anchored" data-anchor-id="serotype-o">Serotype O</h3>
 <div class="cell">
 <details open="">
 <summary>Hide code</summary>
-<div class="sourceCode cell-code" id="cb9"><pre class="sourceCode r code-with-copy"><code class="sourceCode r"><span id="cb9-1"><a href="#cb9-1" aria-hidden="true" tabindex="-1"></a>sero_O.tree <span class="ot">&lt;-</span> <span class="fu">read.nexus</span>(<span class="fu">here</span>(<span class="st">"local/beast/o_1/Os.mcc.tre"</span>))</span>
-<span id="cb9-2"><a href="#cb9-2" aria-hidden="true" tabindex="-1"></a></span>
-<span id="cb9-3"><a href="#cb9-3" aria-hidden="true" tabindex="-1"></a><span class="fu">plot_time_tree</span>(sero_O.tree, check_stats, <span class="at">legend_pos =</span> <span class="fu">c</span>(<span class="fl">0.2</span>, <span class="fl">0.5</span>))</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div>
+<div class="sourceCode cell-code" id="cb8"><pre class="sourceCode r code-with-copy"><code class="sourceCode r"><span id="cb8-1"><a href="#cb8-1" aria-hidden="true" tabindex="-1"></a>sero_O.tree <span class="ot">&lt;-</span> <span class="fu">read.nexus</span>(<span class="fu">here</span>(<span class="st">"local/beast/o_1/Os.mcc.tre"</span>))</span>
+<span id="cb8-2"><a href="#cb8-2" aria-hidden="true" tabindex="-1"></a></span>
+<span id="cb8-3"><a href="#cb8-3" aria-hidden="true" tabindex="-1"></a><span class="fu">plot_time_tree</span>(sero_O.tree, check_stats, <span class="at">legend_pos =</span> <span class="fu">c</span>(<span class="fl">0.2</span>, <span class="fl">0.5</span>))</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div>
 </details>
 <div class="cell-output-display">
 <p><img src="time_tree_files/figure-html/unnamed-chunk-10-1.png" class="img-fluid" width="960"></p>
@@ -629,7 +625,7 @@ <h3 class="anchored" data-anchor-id="serotype-o">Serotype O</h3>
 <div class="cell">
 <details open="">
 <summary>Hide code</summary>
-<div class="sourceCode cell-code" id="cb10"><pre class="sourceCode r code-with-copy"><code class="sourceCode r"><span id="cb10-1"><a href="#cb10-1" aria-hidden="true" tabindex="-1"></a><span class="fu">phylodynamic_process</span>(sero_O.tree, check_stats, <span class="at">x_limits =</span> <span class="fu">c</span>(<span class="st">"2011-01-01"</span>, <span class="st">"2013-01-01"</span>))</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div>
+<div class="sourceCode cell-code" id="cb9"><pre class="sourceCode r code-with-copy"><code class="sourceCode r"><span id="cb9-1"><a href="#cb9-1" aria-hidden="true" tabindex="-1"></a><span class="fu">phylodynamic_process</span>(sero_O.tree, check_stats, <span class="at">x_limits =</span> <span class="fu">c</span>(<span class="st">"2011-01-01"</span>, <span class="st">"2013-01-01"</span>))</span></code><button title="Copy to Clipboard" class="code-copy-button"><i class="bi"></i></button></pre></div>
 </details>
 <div class="cell-output-display">
 <p><img src="time_tree_files/figure-html/unnamed-chunk-11-1.png" class="img-fluid" width="768"></p>
@@ -637,7 +633,6 @@ <h3 class="anchored" data-anchor-id="serotype-o">Serotype O</h3>
 </div>
 
 
-</section>
 </section>
 
 </main> <!-- /main -->
diff --git a/docs/time_tree_files/figure-html/unnamed-chunk-10-1.png b/docs/time_tree_files/figure-html/unnamed-chunk-10-1.png
index ef5d813..c05b543 100644
Binary files a/docs/time_tree_files/figure-html/unnamed-chunk-10-1.png and b/docs/time_tree_files/figure-html/unnamed-chunk-10-1.png differ
diff --git a/docs/time_tree_files/figure-html/unnamed-chunk-4-1.png b/docs/time_tree_files/figure-html/unnamed-chunk-4-1.png
index 8879108..0cfce64 100644
Binary files a/docs/time_tree_files/figure-html/unnamed-chunk-4-1.png and b/docs/time_tree_files/figure-html/unnamed-chunk-4-1.png differ
diff --git a/docs/time_tree_files/figure-html/unnamed-chunk-5-1.png b/docs/time_tree_files/figure-html/unnamed-chunk-5-1.png
index 87e56f7..6ee3d1a 100644
Binary files a/docs/time_tree_files/figure-html/unnamed-chunk-5-1.png and b/docs/time_tree_files/figure-html/unnamed-chunk-5-1.png differ
diff --git a/docs/time_tree_files/figure-html/unnamed-chunk-7-1.png b/docs/time_tree_files/figure-html/unnamed-chunk-7-1.png
index 43beae3..b80e447 100644
Binary files a/docs/time_tree_files/figure-html/unnamed-chunk-7-1.png and b/docs/time_tree_files/figure-html/unnamed-chunk-7-1.png differ
diff --git a/docs/time_tree_files/figure-html/unnamed-chunk-8-1.png b/docs/time_tree_files/figure-html/unnamed-chunk-8-1.png
index 1673c8a..af4a0b3 100644
Binary files a/docs/time_tree_files/figure-html/unnamed-chunk-8-1.png and b/docs/time_tree_files/figure-html/unnamed-chunk-8-1.png differ
diff --git a/time_tree.qmd b/time_tree.qmd
index 4efdc98..ce7de29 100644
--- a/time_tree.qmd
+++ b/time_tree.qmd
@@ -68,10 +68,8 @@ source_dir(here("R"))
 
 ```
 
-## Time Calibrated Phylogenies
 
-
-### Serotype A   
+## Serotype A   
 Check tree model statistics the *get_tracer_stats()* function calculates similar summary statistics as the Tracer software typically used with BEAST.  
 ```{r message=FALSE, warning=FALSE}
 check_stats <- get_tracer_stats(here("local/beast/a_1/As_rev.log"))
@@ -109,11 +107,11 @@ plot_time_tree(sero_A.tree, check_stats)
 FMDV Effective Population Size    
 Trees were run using several different clock and prior choices, all showed flat-line Ne.  The one here was the simplest, coalescent with contant population size.    
 ```{r fig.width=8, fig.height=6, warning=FALSE, message=FALSE}
-phylodynamic_process(sero_A.tree, check_stats, x_limits = c("2009-01-01", "2017-01-01"))
+phylodynamic_process(sero_A.tree, check_stats, x_limits = c("2011-01-01", "2013-01-01"))
 ```
 
 
-### Serotype Asia1   
+## Serotype Asia1   
 ```{r}
 check_stats <- get_tracer_stats(here("local/beast/asia1_1/Asia1s.log"))
 
@@ -152,7 +150,7 @@ Flat Ne, like the other serotypes
 phylodynamic_process(sero_Asia1.tree, check_stats, x_limits = c("2011-01-01", "2013-01-01"))
 ```
 
-### Serotype O   
+## Serotype O   
 ```{r}
 check_stats <- get_tracer_stats(here("local/beast/o_1/sero_0.log"))