yieldcalc.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "e62820a4-20b4-4671-9474-05cd4e819d8f",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "── \u001b[1mAttaching core tidyverse packages\u001b[22m ──────────────────────────────────────────────────────────────────────────────────────────────────────────────────── tidyverse 2.0.0 ──\n",
      "\u001b[32m✔\u001b[39m \u001b[34mdplyr    \u001b[39m 1.1.2     \u001b[32m✔\u001b[39m \u001b[34mreadr    \u001b[39m 2.1.4\n",
      "\u001b[32m✔\u001b[39m \u001b[34mforcats  \u001b[39m 1.0.0     \u001b[32m✔\u001b[39m \u001b[34mstringr  \u001b[39m 1.5.0\n",
      "\u001b[32m✔\u001b[39m \u001b[34mggplot2  \u001b[39m 3.4.2     \u001b[32m✔\u001b[39m \u001b[34mtibble   \u001b[39m 3.2.1\n",
      "\u001b[32m✔\u001b[39m \u001b[34mlubridate\u001b[39m 1.9.2     \u001b[32m✔\u001b[39m \u001b[34mtidyr    \u001b[39m 1.3.0\n",
      "\u001b[32m✔\u001b[39m \u001b[34mpurrr    \u001b[39m 1.0.2     \n",
      "── \u001b[1mConflicts\u001b[22m ────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────────── tidyverse_conflicts() ──\n",
      "\u001b[31m✖\u001b[39m \u001b[34mdplyr\u001b[39m::\u001b[32mfilter()\u001b[39m masks \u001b[34mstats\u001b[39m::filter()\n",
      "\u001b[31m✖\u001b[39m \u001b[34mdplyr\u001b[39m::\u001b[32mlag()\u001b[39m    masks \u001b[34mstats\u001b[39m::lag()\n",
      "\u001b[36mℹ\u001b[39m Use the conflicted package (\u001b[3m\u001b[34m<http://conflicted.r-lib.org/>\u001b[39m\u001b[23m) to force all conflicts to become errors\n"
     ]
    }
   ],
   "source": [
    "library(tidyverse)\n",
    "options(\"readr.show_col_types\"=F)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "ae9e6964-e4c0-42c8-bd9c-e42d82745e9a",
   "metadata": {},
   "outputs": [],
   "source": [
    "meta = read_tsv(\"alleuc_all_metadata.tsv\")[] %>%\n",
    "    mutate(\n",
    "        species = sub('camadulensis', 'camaldulensis', species),\n",
    "        species = sub(' x (Eucalyptus )?', 'X', species),\n",
    "        species_only = gsub(\"(\\\\S+ .+?) ?(X|subsp\\\\.| ?\\\\(|\\\\?|/).*\", \"\\\\1\", species, perl=T) %>% sub(\"Eucalyptus \", \"E.\", .),\n",
    "        species_other = ifelse(as.numeric(table(species_only)[species_only]) > 10, species_only, \"Other\"),\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "416ae2af-02ea-4cb9-9892-25d09737299d",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message in system(sprintf(\"libreoffice --calc %s\", fn)):\n",
      "“error in running command”\n"
     ]
    }
   ],
   "source": [
    "meta %>%\n",
    "    count(species_other) %>%\n",
    "    arrange(-n) %>%\n",
    "    kview() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "9cd54e96-a5f1-4e6c-b151-81a816c9ba0f",
   "metadata": {},
   "outputs": [],
   "source": [
    "fqstat = read_tsv(\"all_fastq_sumstats.tsv\", col_names = c(\"checksum\", \"fqfile\", \"n_reads\", \"n_bases\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "1c4787fe-b1c3-48db-bf53-4b4d35ce4627",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tibble [24,441 × 37] (S3: tbl_df/tbl/data.frame)\n",
      " $ library        : chr [1:24441] \"A_acuminata_ANBG_1\" \"A_acuminata_ANBG_1\" \"A_acuminata_ANBG_1\" \"A_acuminata_ANBG_2\" ...\n",
      " $ sample         : chr [1:24441] \"Acacia_acuminata_ANBG\" \"Acacia_acuminata_ANBG\" \"Acacia_acuminata_ANBG\" \"Acacia_acuminata_ANBG\" ...\n",
      " $ project        : chr [1:24441] \"AcaciaPan\" \"AcaciaPan\" \"AcaciaPan\" \"AcaciaPan\" ...\n",
      " $ seq_date       : chr [1:24441] \"2020-01\" \"2020-01\" \"2020-01\" \"2020-01\" ...\n",
      " $ species        : chr [1:24441] NA NA NA NA ...\n",
      " $ date           : Date[1:24441], format: NA NA ...\n",
      " $ parsed_date    : Date[1:24441], format: NA NA ...\n",
      " $ latitude       : num [1:24441] NA NA NA NA NA NA NA NA NA NA ...\n",
      " $ longitude      : num [1:24441] NA NA NA NA NA NA NA NA NA NA ...\n",
      " $ elevation      : num [1:24441] NA NA NA NA NA NA NA NA NA NA ...\n",
      " $ datum          : chr [1:24441] NA NA NA NA ...\n",
      " $ location       : chr [1:24441] NA NA NA NA ...\n",
      " $ collectors     : chr [1:24441] NA NA NA NA ...\n",
      " $ samplename     : chr [1:24441] NA NA NA NA ...\n",
      " $ population     : chr [1:24441] NA NA NA NA ...\n",
      " $ seed           : chr [1:24441] NA NA NA NA ...\n",
      " $ notes          : chr [1:24441] NA NA NA NA ...\n",
      " $ n              : num [1:24441] NA NA NA NA NA NA NA NA NA NA ...\n",
      " $ meta_source    : chr [1:24441] NA NA NA NA ...\n",
      " $ plate          : chr [1:24441] NA NA NA NA ...\n",
      " $ well           : chr [1:24441] NA NA NA NA ...\n",
      " $ i7             : chr [1:24441] NA NA NA NA ...\n",
      " $ i7_seq         : chr [1:24441] NA NA NA NA ...\n",
      " $ i5             : chr [1:24441] NA NA NA NA ...\n",
      " $ i5_seq         : chr [1:24441] NA NA NA NA ...\n",
      " $ time           : num [1:24441] NA NA NA NA NA NA NA NA NA NA ...\n",
      " $ percent_dieback: num [1:24441] NA NA NA NA NA NA NA NA NA NA ...\n",
      " $ seed_amount    : chr [1:24441] NA NA NA NA ...\n",
      " $ seqproject     : chr [1:24441] \"2020_uwa-s4-runs\" \"2020_uwa-s4-runs\" \"2020_uwa-s4-runs\" \"2020_uwa-s4-runs\" ...\n",
      " $ lanedir        : chr [1:24441] \"2020-S4-BVZ_L002\" \"2020-S4-BVZ_L002\" \"2020-S4-BVZ_L002\" \"2020-S4-BVZ_L002\" ...\n",
      " $ species_only   : chr [1:24441] NA NA NA NA ...\n",
      " $ species_other  : chr [1:24441] NA NA NA NA ...\n",
      " $ read           : chr [1:24441] \"read1\" \"read2\" \"interleaved\" \"read1\" ...\n",
      " $ fqfile         : chr [1:24441] NA NA \"/g/data/xe2/datasets/2020_uwa-s4-runs/2020-S4-BVZ/A_acuminata_ANBG_1_S38_L002_001.fastq.gz\" NA ...\n",
      " $ checksum       : chr [1:24441] NA NA \"seqkit.v0.1_DLS_k0_2d9662b51b2e084abd985f0b89ace16d\" NA ...\n",
      " $ n_reads        : num [1:24441] NA NA 58781296 NA NA ...\n",
      " $ n_bases        : num [1:24441] NA NA 8.71e+09 NA NA ...\n"
     ]
    }
   ],
   "source": [
    "metafq = meta %>%\n",
    "    pivot_longer(read1:interleaved, names_to=\"read\", values_to=\"fqfile\") %>%\n",
    "    left_join(fqstat, by=join_by(fqfile))\n",
    "str(metafq)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "1ba3563b-2321-4a42-b123-4e9833091454",
   "metadata": {},
   "outputs": [],
   "source": [
    "write_tsv(metafq, \"fqstat_with_metadata.tsv\", na=\"\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "f2ed7c0b-5b32-4e0d-b6df-597bd2c52530",
   "metadata": {},
   "outputs": [],
   "source": [
    "dntax = read_csv(\"https://github.com/borevitzlab/cca-eucs/raw/master/metadata/originals/DNTaxonomyCleaned.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "3e317041-6d7b-468c-9f51-0ce8d7391f56",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "spc_tbl_ [1,159 × 8] (S3: spec_tbl_df/tbl_df/tbl/data.frame)\n",
      " $ Binomial  : chr [1:1159] \"Angophora costata\" \"Angophora costata subsp. euryphylla\" \"Angophora costata subsp. costata\" \"Angophora leiocarpa\" ...\n",
      " $ Genus     : chr [1:1159] \"Angophora\" \"Angophora\" \"Angophora\" \"Angophora\" ...\n",
      " $ Subgenus  : chr [1:1159] NA NA NA NA ...\n",
      " $ Section   : chr [1:1159] NA NA NA NA ...\n",
      " $ Series    : chr [1:1159] \"'Costatitae' ms\" \"'Costatitae' ms\" \"'Costatitae' ms\" \"'Costatitae' ms\" ...\n",
      " $ Subseries : chr [1:1159] NA NA NA NA ...\n",
      " $ Species   : chr [1:1159] \"costata\" \"costata\" \"costata\" \"leiocarpa\" ...\n",
      " $ Subspecies: chr [1:1159] NA \"euryphylla\" \"costata\" NA ...\n",
      " - attr(*, \"spec\")=\n",
      "  .. cols(\n",
      "  ..   Binomial = \u001b[31mcol_character()\u001b[39m,\n",
      "  ..   Genus = \u001b[31mcol_character()\u001b[39m,\n",
      "  ..   Subgenus = \u001b[31mcol_character()\u001b[39m,\n",
      "  ..   Section = \u001b[31mcol_character()\u001b[39m,\n",
      "  ..   Series = \u001b[31mcol_character()\u001b[39m,\n",
      "  ..   Subseries = \u001b[31mcol_character()\u001b[39m,\n",
      "  ..   Species = \u001b[31mcol_character()\u001b[39m,\n",
      "  ..   Subspecies = \u001b[31mcol_character()\u001b[39m\n",
      "  .. )\n",
      " - attr(*, \"problems\")=<externalptr> \n"
     ]
    }
   ],
   "source": [
    "str(dntax)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "da1801ad-fd5d-4975-b481-e557cfc6d739",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[1m\u001b[22m`summarise()` has grouped output by 'sample', 'project', 'species', 'species_other', 'date', 'latitude'. You can override using the `.groups` argument.\n"
     ]
    }
   ],
   "source": [
    "mfq.sum = metafq %>%\n",
    "    group_by(sample, project, species, species_other, date, latitude, longitude) %>%\n",
    "    summarise(\n",
    "        n_libs=n_distinct(library),\n",
    "        n_runs=n_distinct(paste(seqproject, lanedir)),\n",
    "        n_reads=sum(n_reads, na.rm=T),\n",
    "        n_bases=sum(n_bases, na.rm=T),\n",
    "    ) %>%\n",
    "    ungroup() %>%\n",
    "    mutate(\n",
    "        sample=fct_reorder2(sample, species_other, n_bases, .na_rm =F),\n",
    "    ) %>%\n",
    "    left_join(\n",
    "        dntax %>% select(Binomial, Section),\n",
    "        by=join_by(species==Binomial)\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "6f844633-1f81-4dea-93ab-d4e505c0cec0",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[1m\u001b[22m`summarise()` has grouped output by 'sample', 'seqproject'. You can override using the `.groups` argument.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "\n",
       "\n",
       "|sample |seqproject                |fqbase                                                     |         mbp|\n",
       "|:------|:-------------------------|:----------------------------------------------------------|-----------:|\n",
       "|NCT    |2021-08_ac-colin_brf-eucs |NCT_S97_L002_001.fastq.gz                                  |    43.71933|\n",
       "|NCT    |2021_S4_Bothwell          |NCT_DKDL202006107-1a-AK9781-AK32_HJVFCDSXY_L1_1.fq.gz      |    18.22260|\n",
       "|NCT    |2021_S4_Bothwell          |NCT_DKDL202006107-1a-AK9781-AK32_HJVFCDSXY_L1_2.fq.gz      |    18.22260|\n",
       "|NCT    |euc_dieback_illumina_2023 |NCT_S1_001.fastq.gz                                        |    50.05650|\n",
       "|NCT_1  |2021-08_ac-colin_brf-eucs |NCT_1_S1_L001_001.fastq.gz                                 |    72.95656|\n",
       "|NCT_1  |2021_S4_Bothwell          |NCT_1_DKDL202006109-1a-AK9804-AK33784_HJVFCDSXY_L1_1.fq.gz |     0.05100|\n",
       "|NCT_1  |2021_S4_Bothwell          |NCT_1_DKDL202006109-1a-AK9804-AK33784_HJVFCDSXY_L1_2.fq.gz |     0.05100|\n",
       "|NCT_1  |euc_dieback_illumina_2023 |NCT_1_S106_001.fastq.gz                                    |  1364.86363|\n",
       "|NCT_10 |euc_dieback_illumina_2023 |NCT_10_S371_001.fastq.gz                                   |    18.29878|\n",
       "|NCT_2  |euc_dieback_illumina_2023 |NCT_2_S211_001.fastq.gz                                    |   345.54266|\n",
       "|NCT_3  |2021_S4_Bothwell          |NCT_3_DKDL202006108-1a-AK9792-AK33783_HJVFCDSXY_L1_1.fq.gz |     0.04260|\n",
       "|NCT_3  |2021_S4_Bothwell          |NCT_3_DKDL202006108-1a-AK9792-AK33783_HJVFCDSXY_L1_2.fq.gz |     0.04260|\n",
       "|NCT_3  |euc_dieback_illumina_2023 |NCT_3_S28_001.fastq.gz                                     |   389.08774|\n",
       "|NCT_3  |euc_dieback_illumina_2023 |NCT_3_S380_001.fastq.gz                                    |    63.65858|\n",
       "|NCT_4  |euc_dieback_illumina_2023 |NCT_4_S133_001.fastq.gz                                    |   378.01370|\n",
       "|NCT_5  |euc_dieback_illumina_2023 |NCT_5_S238_001.fastq.gz                                    |    49.23717|\n",
       "|NCT_6  |euc_dieback_illumina_2023 |NCT_6_S343_001.fastq.gz                                    |    41.84029|\n",
       "|NCT_7  |euc_dieback_illumina_2023 |NCT_7_S64_001.fastq.gz                                     |    47.11351|\n",
       "|NCT_8  |euc_dieback_illumina_2023 |NCT_8_S161_001.fastq.gz                                    |   455.02914|\n",
       "|NCT_9  |euc_dieback_illumina_2023 |NCT_9_S266_001.fastq.gz                                    | 11240.83713|"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "metafq %>%\n",
    "    filter(grepl(\"NCT\", sample), !is.na(fqfile)) %>%\n",
    "    select( sample, seqproject, read, fqfile,n_bases)   %>%\n",
    "    mutate(fqbase=fqfile %>% basename() %>% sub(\"_R[12]_\", \"_\", .), mbp = n_bases/1e6) %>%\n",
    "    group_by(sample, seqproject, fqbase) %>%\n",
    "    summarise(mbp=sum(mbp)) %>%\n",
    "    knitr::kable()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "acff92e6-71b6-40b2-af5e-af29d7a98e39",
   "metadata": {},
   "outputs": [],
   "source": [
    "plotby = function(df, key) {\n",
    "    p = ggplot(df, aes(x=sample, y=n_bases/600e6)) +\n",
    "        geom_bar(aes(fill=species_other), stat=\"identity\") +\n",
    "        theme_bw() +\n",
    "        labs(y=\"Theoretical Coverage\", x=\"Sample\",  fill=\"Species\", title=sprintf(\"%s (%d spp.)\", key, n_distinct(df$species_other))) +\n",
    "        guides(fill=guide_legend(nrow=3)) +\n",
    "        theme(\n",
    "            legend.position=\"bottom\",\n",
    "            panel.grid.major.x=element_blank(),\n",
    "            axis.text.x=element_blank(),\n",
    "        )\n",
    "    print(p)\n",
    "    ggsave(sprintf(\"plot/%s_sample_coverages.png\", key), width=2+0.02*nrow(df), height=5, plot=p)\n",
    "    ggsave(sprintf(\"plot/%s_sample_coverages.pdf\", key), width=2+0.02*nrow(df), height=5, plot=p)\n",
    "    \n",
    "    p = ggplot(df, aes(x=n_bases/600e6)) +\n",
    "        geom_histogram(aes(fill=species_other)) +\n",
    "        theme_bw() +\n",
    "        labs(x=\"Theoretical Coverage\", x=\"# Samples\", fill=\"Species\", title=sprintf(\"%s (%d spp.)\", key, n_distinct(df$species_other))) +\n",
    "        #guides(fill=guide_legend(nrow=3)) +\n",
    "        theme(\n",
    "            legend.position=\"bottom\",\n",
    "        )\n",
    "    print(p)\n",
    "    ggsave(sprintf(\"plot/%s_coverhist.png\", key), width=8, height=6, plot=p)\n",
    "    ggsave(sprintf(\"plot/%s_coverhist.pdf\", key), width=8, height=6, plot=p)\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "b987bd18-2c85-4a2d-b669-c96c867681da",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"dataframe\">\n",
       "<caption>A tibble: 25 × 2</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>Section</th><th scope=col>n</th></tr>\n",
       "\t<tr><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;int&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>Inclusae        </td><td>   1</td></tr>\n",
       "\t<tr><td>Naviculares     </td><td>   1</td></tr>\n",
       "\t<tr><td>Platysperma     </td><td>   1</td></tr>\n",
       "\t<tr><td>Pumilio         </td><td>   1</td></tr>\n",
       "\t<tr><td>Sejunctae       </td><td>   1</td></tr>\n",
       "\t<tr><td>'Frutices' ms   </td><td>   2</td></tr>\n",
       "\t<tr><td>Abbreviatae     </td><td>   2</td></tr>\n",
       "\t<tr><td>Bolites         </td><td>   2</td></tr>\n",
       "\t<tr><td>Incognitae      </td><td>   2</td></tr>\n",
       "\t<tr><td>Racemus         </td><td>   2</td></tr>\n",
       "\t<tr><td>'Glandulosae' ms</td><td>   3</td></tr>\n",
       "\t<tr><td>Calophyllae     </td><td>   3</td></tr>\n",
       "\t<tr><td>Complanatae     </td><td>   3</td></tr>\n",
       "\t<tr><td>Dumaria         </td><td>   3</td></tr>\n",
       "\t<tr><td>Longistylus     </td><td>   4</td></tr>\n",
       "\t<tr><td>Corymbia        </td><td>   6</td></tr>\n",
       "\t<tr><td>Maculatae       </td><td>   9</td></tr>\n",
       "\t<tr><td>Limbatae        </td><td>  10</td></tr>\n",
       "\t<tr><td>Latoangulatae   </td><td>  15</td></tr>\n",
       "\t<tr><td>Bisectae        </td><td>  20</td></tr>\n",
       "\t<tr><td>Exsertaria      </td><td>  85</td></tr>\n",
       "\t<tr><td>Maidenaria      </td><td> 529</td></tr>\n",
       "\t<tr><td>Eucalyptus      </td><td> 588</td></tr>\n",
       "\t<tr><td>NA              </td><td>1114</td></tr>\n",
       "\t<tr><td>Adnataria       </td><td>1241</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A tibble: 25 × 2\n",
       "\\begin{tabular}{ll}\n",
       " Section & n\\\\\n",
       " <chr> & <int>\\\\\n",
       "\\hline\n",
       "\t Inclusae         &    1\\\\\n",
       "\t Naviculares      &    1\\\\\n",
       "\t Platysperma      &    1\\\\\n",
       "\t Pumilio          &    1\\\\\n",
       "\t Sejunctae        &    1\\\\\n",
       "\t 'Frutices' ms    &    2\\\\\n",
       "\t Abbreviatae      &    2\\\\\n",
       "\t Bolites          &    2\\\\\n",
       "\t Incognitae       &    2\\\\\n",
       "\t Racemus          &    2\\\\\n",
       "\t 'Glandulosae' ms &    3\\\\\n",
       "\t Calophyllae      &    3\\\\\n",
       "\t Complanatae      &    3\\\\\n",
       "\t Dumaria          &    3\\\\\n",
       "\t Longistylus      &    4\\\\\n",
       "\t Corymbia         &    6\\\\\n",
       "\t Maculatae        &    9\\\\\n",
       "\t Limbatae         &   10\\\\\n",
       "\t Latoangulatae    &   15\\\\\n",
       "\t Bisectae         &   20\\\\\n",
       "\t Exsertaria       &   85\\\\\n",
       "\t Maidenaria       &  529\\\\\n",
       "\t Eucalyptus       &  588\\\\\n",
       "\t NA               & 1114\\\\\n",
       "\t Adnataria        & 1241\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A tibble: 25 × 2\n",
       "\n",
       "| Section &lt;chr&gt; | n &lt;int&gt; |\n",
       "|---|---|\n",
       "| Inclusae         |    1 |\n",
       "| Naviculares      |    1 |\n",
       "| Platysperma      |    1 |\n",
       "| Pumilio          |    1 |\n",
       "| Sejunctae        |    1 |\n",
       "| 'Frutices' ms    |    2 |\n",
       "| Abbreviatae      |    2 |\n",
       "| Bolites          |    2 |\n",
       "| Incognitae       |    2 |\n",
       "| Racemus          |    2 |\n",
       "| 'Glandulosae' ms |    3 |\n",
       "| Calophyllae      |    3 |\n",
       "| Complanatae      |    3 |\n",
       "| Dumaria          |    3 |\n",
       "| Longistylus      |    4 |\n",
       "| Corymbia         |    6 |\n",
       "| Maculatae        |    9 |\n",
       "| Limbatae         |   10 |\n",
       "| Latoangulatae    |   15 |\n",
       "| Bisectae         |   20 |\n",
       "| Exsertaria       |   85 |\n",
       "| Maidenaria       |  529 |\n",
       "| Eucalyptus       |  588 |\n",
       "| NA               | 1114 |\n",
       "| Adnataria        | 1241 |\n",
       "\n"
      ],
      "text/plain": [
       "   Section          n   \n",
       "1  Inclusae            1\n",
       "2  Naviculares         1\n",
       "3  Platysperma         1\n",
       "4  Pumilio             1\n",
       "5  Sejunctae           1\n",
       "6  'Frutices' ms       2\n",
       "7  Abbreviatae         2\n",
       "8  Bolites             2\n",
       "9  Incognitae          2\n",
       "10 Racemus             2\n",
       "11 'Glandulosae' ms    3\n",
       "12 Calophyllae         3\n",
       "13 Complanatae         3\n",
       "14 Dumaria             3\n",
       "15 Longistylus         4\n",
       "16 Corymbia            6\n",
       "17 Maculatae           9\n",
       "18 Limbatae           10\n",
       "19 Latoangulatae      15\n",
       "20 Bisectae           20\n",
       "21 Exsertaria         85\n",
       "22 Maidenaria        529\n",
       "23 Eucalyptus        588\n",
       "24 NA               1114\n",
       "25 Adnataria        1241"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mfq.sum %>%\n",
    "    count(Section) %>%\n",
    "    arrange(n)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "3c600114-e7cc-4332-8910-32cc0ad4d4c2",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[1m\u001b[22m`stat_bin()` using `bins = 30`. Pick better value with `binwidth`.\n",
      "\u001b[1m\u001b[22m`stat_bin()` using `bins = 30`. Pick better value with `binwidth`.\n",
      "\u001b[1m\u001b[22m`stat_bin()` using `bins = 30`. Pick better value with `binwidth`.\n"
     ]
    },
    {
     "data": {
      "image/png": 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m1vwBw7AAAASRDsAAAAJEGwAwAAkATB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      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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VLv/92sd7SPGv5t9YiPj3/hhRdqWlvv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      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[1m\u001b[22m`stat_bin()` using `bins = 30`. Pick better value with `binwidth`.\n",
      "\u001b[1m\u001b[22m`stat_bin()` using `bins = 30`. Pick better value with `binwidth`.\n",
      "\u001b[1m\u001b[22m`stat_bin()` using `bins = 30`. Pick better value with `binwidth`.\n"
     ]
    },
    {
     "data": {
      "image/png": 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DQYDGaz+VrjNGnSpE2bNj4oGAAAIADZ\n7XbXB/gi2J0/fz4kJKRz587z5s2rqqrKzc3Nzs7Oycm5ePGiwWBwfnC70WgsLy93vHz++ec/\n+OADrR0VFRUeHn7u3DkfFAwAABCA7HZ7TU2NiwN8EeyaN2++ceNGx8tZs2ZlZmbu27cvJibG\nZrOpqupYS2G1Wk0mk+NIo9HouG5rMplqamqcUyAAAECjUmcQ8tE9ds4MBkPLli3Lysrat2+v\nqmpZWVlcXJwQwmq12mw2ra2ZPXv27NmztbbZbJ4xY4bzTwEAABoVu93uOtv5YgLs448//t3v\nfue4xmqxWH766ad27drFx8fHxMTs379f6z9w4IDRaExKSvJBSQAAAPLxRbDr0aNHeXn5smXL\nDhw48OWXXy5atOjGG29MSUkJDQ0dNmxYXl5eSUnJkSNHcnNz09PTa93rBAAAAHXyxaXYqKio\nZcuW/f3vf3/xxRdDQ0NTUlLmzJmjTSSOHTu2qqpq6dKlNTU1AwYMmDhxog/qAQAAkJKP7rFr\n2bLl008/fXW/oiiZmZmZmZm+KQMAAEBiLDIFAACQBMEOAABAEgQ7AAAASRDsAAAAJEGwAwAA\nkATBDgAAQBIEOwAAAEkQ7AAAACRBsAMAAJAEwQ4AAEASBDsAAABJEOwAAAAkQbADAACQBMEO\nAABAEgQ7AAAASRDsAAAAJEGwAwAAkATBDgAAQBIEOwAAAEkEU7A7b97v7xIAAAACVzAFOwAA\nALhAsAMAAJAEwQ4AAEASBDsAAABJEOwAAAAkQbADAACQBMEOAABAEgQ7AAAASRDsAAAAJEGw\nAwAAkATBDgAAQBIEOwAAAEkQ7AAAACRBsAMAAJAEwQ4AAEASBDsAAABJEOwAAAAkQbADAACQ\nBMEOAABAEgQ7AAAASRDsAAAAJEGwAwAAkATBDgAAQBIEOwAAAEkQ7AAAACRBsAMAAJAEwQ4A\nAEASBDsAAABJEOwAAAAkQbADAACQBMEOAABAEgQ7AAAASRDsAAAAJEGwAwAAkESYvwvQS1VV\nIcSFCxf8XQgAAIB/2O32mpoaFwcETbBTFEUIYTKZ/F0IAACAf9jt9pAQV5dbgybYacLCgqxg\nAAAAT9EuYLrAPXYAAACSINgBAABIgmAHAAAgCYIdAACAJAh2AAAAkiDYAQAASIJgBwAAIAmC\nHQAAgCQIdgAAAJIg2AEAAEiCYAcAACAJgh0AAIAkCHYAAACSINgBAABIgmAHAAAgCYIdAACA\nJAh2AAAAkiDYAQAASIJgBwAAIAmCHQAAgCQIdgAAAJIg2AEAAEiCYAcAACAJgh0AAIAkCHYA\nAACSINgBAABIgmAHAAAgCYIdAACAJAh2AAAAkiDYAQAASIJgBwAAIAmCHQAAgCQIdgAAAJIg\n2AEAAEiCYAcAACAJgh0AAIAkCHYAAACSINgBAABIgmAHAAAgCYIdAACAJAh2AAAAkiDYAQAA\nSIJgBwAAIAmCHQAAgCQIdgAAAJIg2AEAAEiCYAcAACAJgh0AAIAkCHYAAACSINgBAABIgmAH\nAAAgCYIdAACAJIIs2J2eUXF6RoW/qwAAAAhEvg5233zzzdSpUysqfg5nqqquXbv20UcfnTRp\n0qpVq6qrq31cDwAAgDTCfPlhdrv9xRdfPH36tKqqWs+GDRuKiopmzJgRFha2fPlyIcSkSZN8\nWRIAAIA0fDpj9+abb1ZVVTleVldXFxUVjR8/Pi0tLTU1dfLkye+//35lZaUvSwIAAJCG74Ld\nwYMHd+3a9eijjzp6Tp48aTabe/furb1MSUmxWCylpaU+KwkAAEAmProUe/HixZdffnnmzJnR\n0dGOzvPnzyuK0qxZM+1lZGSkwWAwm82OA/bu3fvdd99pbeepPmb1AABAI2S32x33s9XKR8Hu\nr3/9a//+/VNSUo4ePerovHjxosFgCAn5ZdbQaDSWl5c7XhYWFm7ZskVrx8TENDX83O9YewEA\nANB4BESw+/DDD7/99tvZs2df0W8ymWw2m6qqiqJoPVar1WQyOQ4YMWJESkqK1q6qqspdvUBr\nR0ZGer1oAACAAGO32x2pqVa+CHYlJSUnT54cPXq0o+fhhx++88477733XlVVy8rK4uLihBBW\nq9Vms2ltTWpqampqqtY2m82OYBceHu6DsgEAAAJKaGio/4PdmDFjhg8frrW/+eabpUuXLl68\n+Prrr4+NjY2Jidm/f/8dd9whhDhw4IDRaExKSvJBSQAAAPLxRbBr1qyZY4XE5cuXhRA33nhj\nVFSUEGLYsGF5eXlt2rQJCQnJzc1NT0/XMxuXl6+My3B1gRkAAKAR8ukGxVcbO3ZsVVXV0qVL\na2pqBgwYMHHiRP/WAwAAELx8HewSExP/8Y9/OF4qipKZmZmZmenjMgAAAOTj62fFAgAAwEsI\ndgAAAJIg2AEAAEiCYAcAACAJgh0AAIAkCHYAAACSINgBAABIgmAHAAAgCYIdAACAJAh2AAAA\nkiDYAQAASIJgBwAAIAmCHQAAgCQIdgAAAJIg2AEAAEiCYAcAACAJgh0AAIAkCHYAAACSINgB\nAABIgmAHAAAgCYIdAACAJAh2AAAAkiDYAQAASIJgBwAAIAmCHQAAgCQIdgAAAJIg2AEAAEiC\nYAcAACAJgh0AAIAkCHYAAACSINgBAABIgmAHAAAgCYIdAACAJAh2AAAAkiDYAQAASIJgBwAA\nIAmCHQAAgCQIdgAAAJIg2AEAAEiCYAcAACAJgh0AAIAkCHYAAACSINgBAABIgmAHAAAgCYId\nAACAJAh2AAAAkiDYAQAASIJgBwAAIAmCHQAAgCQIdgAAAJIg2AEAAEiCYAcAACAJgh0AAIAk\nwvxdQANVV1f7uwQAAACfqjP/BE2wU1XV+WVFRYW/KgEAAPALu91eU1Pj4oCgCXaKoji//N9/\nxo7LUK91MAAAgHzsdntIiKv76LjHDgAAQBIEOwAAAEkEcbDLy1fy8pW6jwMAAGgcgjjYAQAA\nwBnBDgAAQBIEOwAAAEkQ7AAAACRBsAMAAJAEwQ4AAEASBDsAAABJEOwAAAAkQbADAACQBMEO\nAABAEgQ7AAAASRDsAAAAJEGwAwAAkATBDgAAQBIEOwAAAEkQ7AAAACRBsAMAAJAEwQ4AAEAS\nBDsAAABJBH2wy8tX/F0CAABAQAj6YAcAAAANwQ4AAEASBDsAAABJEOwAAAAkQbADAACQBMEO\nAABAEgQ7AAAAScgQ7NjKDgAAQMgR7AAAACAIdgAAANIg2AEAAEiCYAcAACAJgh0AAIAkJAl2\nefkKa2MBAEAjJ0mw05DtAABAYyZVsAMAAGjMCHYAAACSkC3YcTUWAAA0WrIFOwAAgEZLwmDH\npB0AAGicJAx2AAAAjRPBDgAAQBIEOwAAAEkQ7AAAACQRVq+jL168+Omnn549e/b222+PioqK\niIhQFFYqAAAABIR6zNitWLGidevW6enpGRkZJSUlmzZtio+PLygo8F5xAAAA0E9vsNu8efP0\n6dNTU1PXrVun9SQnJzdp0mTMmDFbtmzxWnkAAADQS2+wW7JkSa9evYqLi8eOHav1dOnS5fPP\nP09KSlq0aJHXygMAAIBeeoPdwYMH77///tDQUOfOiIiIUaNGHTp0yAuFAQAAoH70Bru4uLjK\nysqr+y0WS1RUlEdLAgAAQEPoDXb9+/dfs2ZNWVmZc2dpaen69ev79u3rhcLclZev5OUrSqHV\n34UAAAD4iN7tTpYsWdKzZ8/k5OQpU6YIIYqLi7dt27ZixQqLxbJ48eI63/7jjz++9tprX331\nVUhISK9evSZPnhwbGyuEUFU1Pz9/27ZtNTU1AwcOnDBhwhVXewEAAKCT3hm79u3b79q1KyEh\nYe7cuUKI7OzshQsX9ujRY+fOnYmJia7fq6rqokWLLl269NRTT02dOvXo0aPLli3TfrRhw4ai\noqLJkyc/9thjO3bseOONN9z5MgAAAI1ZPTYo7t69+4cfflhWVnb48GGDwdCxY8fo6Gg9b/zu\nu+9KS0vfeOONuLg4IYTNZnv11VdtNltYWFhRUdH48ePT0tKEEJMnT87JycnIyAgPD2/YlwEA\nAGjM6vfkCSFEbGxs//796/WW8PDwKVOmaKlOCGEymYxGY1hY2MmTJ81mc+/evbX+lJQUi8VS\nWlrapUuX+lYFAAAAvcEuOTm51v4mTZpER0f36NHj97//fbt27Wo95rrrrrv33nuFEAcPHjx+\n/HhhYeGYMWNCQ0PPnz+vKEqzZs20wyIjIw0Gg9lsdrxx2bJlO3bs0Nomk0lnqUII50Gc2wAA\nAMHLbrfX1NS4OEBvsOvTp8/mzZtPnz4dExOTkJAQEhJy/Phxs9ncoUMHm822cuXKnJyczZs3\nDxkyxMUgu3fvPnTokM1m02bvLl68aDAYQkJ+uc/PaDSWl5c7Xlqt1osXL+qs0Jnzd3b9/QEA\nAIJFnalGb7BLT09fvXr1ihUrJk6c2KRJEyFEVVXVm2++OWfOnPXr13fq1Gnq1KkTJ0789ttv\nFUW51iCPPfaYEOLjjz9esmRJt27dTCaTzWZTVdXxFqvV6jwzN3fuXG2thhDCbDZnPDxAZ7XN\nmzevtQ0AABC87Ha784zY1fSuin3xxRcfeeSRqVOnaqlOCBEWFjZp0qTRo0fPmzcvKirqhRde\nOHny5PHjx69+79dff/3xxx87Xg4YMCA8PPw///lPXFycqqqOvfGsVqtjMg8AAAD1pTfYHT58\nuNZb6OLj4//973+L/06MffPNN1cfc+LEiZycnKqqKu3lxYsXbTZbdHR0fHx8TEzM/v37tf4D\nBw4YjcakpKQGfA3X8vKvOYkIAAAgDb3BLiUl5Z133rFaf/Ugh8rKyrfffltbxLpnzx4hRHx8\n/NXv7d+/f1hY2CuvvHLkyJGvvvrqT3/6U5s2bbp06RIaGjps2LC8vLySkpIjR47k5uamp6ez\n1wkAAEDD6L3HbuHChUOGDOnTp8/UqVNvvvlmVVWPHDny2muvHT58+IMPPti+ffvo0aMHDhzY\noUOHq98bHR39wgsvvP76688++2xISEi3bt1mzZrVtGlTIcTYsWOrqqqWLl1aU1MzYMCAiRMn\nevLLOTk9o6LV8kgvDQ4AABAI9Aa7W2+99b333pszZ87vf/97R2fnzp23bNkyaNCglStXpqSk\n5OXlXevtbdq0mT9//tX9iqJkZmZmZmbWt24AAABcoR4bFN9xxx2fffZZaWnp0aNHL1++nJiY\nmJSUpD3adcqUKVOnTvVakZ6Rl6+My1D9XQUAAIC31PvJEx06dHC+3vrBBx8sXbp0y5YtHq0K\nAAAA9VaPYLdhw4bi4uIr1k/s3r27oqLC01UBAACg3vQGu5UrV06bNi06OrqqqspiscTHx1dX\nV3///ffXX3/9iy++6NUSAQAAoIfe7U5ycnL69u175syZY8eOhYeHFxYWfvfddx999FFVVdXg\nwYO9WSEAAAB00Rvsjh07NnLkyKZNm7Zq1apr16779u0TQgwcOPCBBx7IysryZoWelJevsFkx\nAACQld5gZzQaHU90TUhIOHz4sNbu16/frl27vFIaAAAA6kNvsOvcufOmTZvMZrMQolOnTtu2\nbdP6S0pKysvLvVUdAAAAdNMb7LKysvbs2ZOQkHDp0qX77rtv375906dPnz9//sqVK9PS0rxa\nosdxNRYAAEhJ76rYYcOGrV69Oj8/X1XV1NTUhQsXPvfcc3a7PSEhYdmyZV4tEQAAAHronbET\nQkyYMGHr1q2RkZFCiGeeeebcuXNffPFFSUlJp06dvFYeAAAA9NIV7CwWS4cOHV5//XXnzqio\nqK5duzZp0sQ7hQEAAKB+dAW7iIiI2NhYVr8CAAAEMr2XYt98880PPvjgtddeq66u9mpBAAAA\naBi9iycWLlyYlJQ0derUxx9/vF27diaTyfmne/fu9UJtAAAAqAe9we7s2bNCCJ4eBgAAELD0\nBjvHjsQAAAAITHqDnebixYuffvrp2bNnb7/99qioqIiICMdzxgAAAOBf9djHbsWKFa1bt05P\nT8/IyCgpKdm0aVN8fHxBQYH3igMAAIB+eoPd5s2bp0+fnpqaum7dOq0nOTm5SZMmY8aM2bJl\ni9fKAwAAgF56g92SJUt69epVXFw8duxYradLly6ff/55UlLSokWLvFYeAAAA9ExUrC0AACAA\nSURBVNIb7A4ePHj//feHhoY6d0ZERIwaNerQoUNeKAwAAAD1ozfYxcXFVVZWXt1vsViioqI8\nWhIAAAAaQm+w69+//5o1a8rKypw7S0tL169f37dvXy8UBgAAgPrRu93JkiVLevbsmZycPGXK\nFCFEcXHxtm3bVqxYYbFYFi9e7M0KAQAAoIveGbv27dvv2rUrISFh7ty5Qojs7OyFCxf26NFj\n586diYmJ3qwQAAAAutRjg+Lu3bt/+OGHZWVlhw8fNhgMHTt2jI6O9l5lAAAAqBe9M3ZDhw5d\nt26d1WqNjY3t379/cnIyqQ4AACCg6A12u3btysjIaNWq1aOPPvrRRx+pqurVsgAAAFBfeoPd\nTz/9VFBQMHTo0PXr1992220dOnT44x//ePToUa8WBwAAAP30BruIiIjRo0e/9dZbZ86c2bhx\nY79+/V588cWkpKSBAweuXLnSqyV6gy1rlr9LAAAA8DC9wc7BaDSOGjVq/fr1P/zww/Tp03fv\n3j1t2jRvVAYAAIB6qceqWI3FYnn//fffeeedzZs3m83m2NjYkSNHeqMyb1MKrUIIdYTR34UA\nAAB4ht5gZzabN2/e/O67727dutVisURHR48YMeKhhx5KT09v2rSpV0v0qrx8JdNkId4BAAAJ\n6A121113XVVVVWRk5MiRIx966KGhQ4caDAavVuZLefmK1hiXwWpfAAAQrPQGu1GjRj300EN3\n33230cjkFgAAQCDSG+zWr18vhFBV9cSJE8eOHauqqrrpppvi4+NDQuq9/AIAAADeUI9YVlxc\nnJycnJCQMGTIkKFDh3bo0KFXr14ffvih94oDAACAfnpn7Pbt2zd8+PAWLVosXLiwe/fuISEh\nX3zxRU5Ozt13371nz55evXp5tUoAAADUSW+wmzdvXuvWrT/77LMWLVpoPSNGjJg+fXrv3r3n\nzZu3efNmr1UIAAAAXfReit2/f39GRoYj1WmaN28+bty4ffv2eaEwAAAA1E897rFTFKXWflVl\nixAAAAD/0xvsUlJS1q5de+7cOefOc+fOrV27NiUlxQuFAQAAoH703mOXnZ2dlpbWs2fP3/72\nt926dVNV9csvv8zJyTlz5szGjRu9WqIvsVMxAAAIXnqDXUpKSlFR0ezZs+fOnevo7NatW25u\nbu/evb1TGwAAAOpBb7ATQtx5550HDhw4fvz40aNHhRCJiYnt27dng2IAAIAAoTfYXb58uWnT\npoqidOjQITw8/Pvvv+exEwAAAAGljmRWVVX1wgsvdOrUad26dY7Ozz//vG/fvnFxcfPmzbt8\n+bKXKwQAAIAuroKd3W4fMmTI3LlzLRZLfHy8o79r165PPfVUq1atnn/++dtvv72mpsb7dfpa\nXr6Sl68ohVZ/FwIAAKCXq2D3t7/9bceOHU8++eSJEycGDx7s6G/btu2iRYv+85//jB07dvfu\n3StWrPB6mQAAAKiLq2C3Zs2axMTEF154odZ76cLCwtauXduuXbv169d7rTwAAADo5SrYHTt2\n7NZbbw0Lu+YCi5CQkEGDBpWUlHihMAAAANSPq2AXEhJiNBpdvz8yMpL1EwAAAIHA1XYn3bt3\n/+yzz1y//9NPP+3cubNHS6pdvZ5IW1FRUWu7Adx8OwAAgKfY7XbXichVsLv99tv/+Mc/vv32\n26NGjar1gFWrVh04cODpp592q0Z9FEXRf7DBYKi13QBuvh0AAMBT6txC2FWwmzNnzoYNG8aP\nH3/8+PHp06dHRkY6flReXv7KK69kZ2cnJCQ4P2QsQDRp0qTWtptDAQAA+JfrqS5Xwc5gMLz7\n7rtTpkx58skns7Ozu3Xr1r59e0VRSktLv/jii/Ly8rS0tNdee81kMnm65sCSl6+My6jHhWAA\nAAC/qOORYomJidu2bXv77bdfe+21w4cP7969W1XVNm3a9O3bd+zYsZMmTarXFdLgpWyfrw5+\n1t9VAAAAuKLrWbGjRo3SbrOzWCxVVVXR0dFergoAAAD1VscteFeIiIhotKlO2T5fCJGX3yhm\nKAEAQDCqX7ADAABAwCLY1RuTdgAAIDAR7BoiL19RCq1KodXfhQAAAPyCYAcAACAJgh0AAIAk\nXG13kpaWpnOUTz75xBPFAAAAoOFczdiF6eazcgMNCykAAEDgcJXJdu7c6bM6ghcPHAMAAAHC\n3XvsPvjgg6FDh3qklOCVl68wdQcAAPyuHldRN2zYUFxcbLX+ao+P3bt3V1RUeLqqoKRlO2bv\nAACAv+gNditXrpw2bVp0dHRVVZXFYomPj6+urv7++++vv/76F1980aslAgAAQA+9l2JzcnL6\n9u175syZY8eOhYeHFxYWfvfddx999FFVVdXgwYO9WSEAAAB00Rvsjh07NnLkyKZNm7Zq1apr\n16779u0TQgwcOPCBBx7IysryZoVBhvvtAACAv+gNdkajUVF+zisJCQmHDx/W2v369du1a5dX\nSgtmtqxZxDsAAOBjeoNd586dN23aZDabhRCdOnXatm2b1l9SUlJeXu6t6gAAAKCb3mCXlZW1\nZ8+ehISES5cu3Xffffv27Zs+ffr8+fNXrlyp/wEVAAAA8B69q2KHDRu2evXq/Px8VVVTU1MX\nLlz43HPP2e32hISEZcuWebXE4KUUWoUQlbuzhBCGJa/4uxwAACC5emxQPGHChK1bt0ZGRgoh\nnnnmmXPnzn3xxRclJSWdOnXyWnny0G65U7bP93chAABAWvUIdmaz+S9/+cuOHTu0l2vXrn3v\nvfcsFot3CpOWUmhlXQUAAPAGvcHu3LlzKSkpv//977/88kut5/Dhw08++WTPnj2/++47r5Un\nM1vWLH+XAAAApKI32D355JNms/mNN96YOnWq1vPyyy/v2rWrvLz86aef9lp5ksvLV5RCqy1r\nFtujAAAA9+ldPPHRRx9NmTJl/Pjxzp0DBgyYNm1aXl6eFwprjE7PqCi+JUoIkWmyqCOM/i4H\nAAAEGb3Bzmw2a8smrmAymS5duuTRkiCEEHn5Sqbp5/sX11yKGJeh+rceAAAQ+PReiu3Tp8/G\njRuvWCpRWVm5cePGlJQULxQGAACA+tE7Y7dgwYLbbrutf//+s2bN6tatW1hY2OHDh19++eXP\nP/+8uLjYqyVC/HdLPK7PAgAAF/QGu7S0tHfffXf27NlTpkxxdLZt23bt2rW33367d2rDlfLy\nFa7JAgCAa9Eb7IQQw4cP/81vfrN///4jR45cvnw5KSmpd+/e4eHh3isOV1O2zxcXnlZHGLXd\nUnigBQAAcKhHsBNChIWFpaampqameqkaAAAANJirYHfXXXeZTKZNmzZpbRdH/utf//JwXQAA\nAKgnV8GurKysqqpKa1dUVPikHgAAADSQq2C3d+9eR/uTTz7xfjGoN5ZTAAAAB7372GVmZh4+\nfPjq/p07d86YMcOjJaHe8vKVvHxFey6Z9o+/KwIAAH5Qx+KJiooKm80mhMjLy3vwwQdbtmzp\n/NOampotW7bk5uYuX77cizWi/pyzHVN6AAA0EnUEu5kzZ65evVprjxgxotZj2McuwNmyZrEr\nCgAAjUEdwW7MmDHdunUTQjzxxBOPPfZYx44drzggOjr6wQcf9FZ18BBt0zshREHPV5nAAwBA\nVnUEu6FDhw4dOlQIsXnz5mnTpvXs2dMnVQEAAKDe9G5QvG3bNiHExYsXP/3007Nnz95+++1R\nUVERERGKwn36QUa7/e7BgzO1l4YlryiFVp5CCwCABPSuihVCrFixonXr1unp6RkZGSUlJZs2\nbYqPjy8oKPBecfAZ1tICACABvcFu8+bN06dPT01NXbdundaTnJzcpEmTMWPGbNmyxWvlAQAA\nQC+9wW7JkiW9evUqLi4eO3as1tOlS5fPP/88KSlp0aJFXisPAAAAeukNdgcPHrz//vtDQ0Od\nOyMiIkaNGnXo0CEvFAb/4JosAADBS2+wi4uLq6ysvLrfYrFERUV5tCQAAAA0hN5g179//zVr\n1pSVlTl3lpaWrl+/vm/fvl4oDP7EpB0AAMFI73YnS5Ys6dmzZ3Jy8pQpU4QQxcXF27ZtW7Fi\nhcViWbx4sTcrhH84st2DB2fy4AoAAIKC3hm79u3b79q1KyEhYe7cuUKI7OzshQsX9ujRY+fO\nnYmJid6sEP6nFFqVQqu/qwAAAHXQO2MnhOjevfuHH35YVlZ2+PBhg8HQsWPH6Oho71WGQKNl\nO7YyBgAgYOmasbNYLB06dHj99deFELGxsf37909OTibVNU7aslluwgMAIADpCnYRERGxsbG7\ndu3ydjUIImQ7AAACjd577N58880PPvjgtddeq66u9mpBCCLK9vnK9vm2rFmOOTxb1ixb1ix/\n1wUAQCOl9x67hQsXJiUlTZ069fHHH2/Xrp3JZHL+6d69e12//fLly6tWrdq/f/+FCxeSkpIm\nTZqUkJAghFBVNT8/f9u2bTU1NQMHDpwwYcIVeyAjGCmFVnWEUdk+f80Pz43LUP1dDgAAjYXe\nYHf27FkhxODBgxv2MUuWLDl+/Pi0adNiY2PXr1+/YMGCv/71r5GRkRs2bCgqKpoxY0ZYWNjy\n5cuFEJMmTWrYRyAw5eUrZDsAAHxDb7Dbtm1bgz/j7Nmze/fuzc7O7tGjhxAiKysrMzPzs88+\nu/XWW4uKisaPH5+WliaEmDx5ck5OTkZGRnh4eIM/CwFIuzhb0PPVzBueqXyvTAjBxngAAHiD\n3nvsNKqqnjhx4oMPPti6devx48dramr0vKu8vDwxMfGmm27SXhoMhvDw8LKyspMnT5rN5t69\ne2v9KSkpFoultLS0XiUhGHEfHgAA3lCPfeyKi4ufeOKJgwcPOnq6d+/+8ssv33HHHa7f2KFD\nh2XLljle7t2798KFC127dj1//ryiKM2aNdP6IyMjDQaD2Wx2HHns2LFz585pbau1Hhvk2u32\nWtsNwFBeGsqxqHbMg5fd+VAAABoPu92uqq5ucNIb7Pbt2zd8+PAWLVosXLiwe/fuISEhX3zx\nRU5Ozt13371nz55evXrpGURV1X/9618rVqy45557kpKSPvroI4PBEBLyy6yh0WgsLy93vMzN\nzd2yZYvWjomJaWrQWay4cOFCre0G8N5QUe4NFeXUdrsqk6eGakBVbxU0HZp+xp3PBQCgkfBY\nsJs3b17r1q0/++yzFi1aaD0jRoyYPn167969582bt3nz5jpH+PHHH1966aUTJ048+uijd999\ntxDCZDLZbDZVVRXl58kbq9XqvN42PT09KSlJa9fU1GwoWKqzWudBrljAW18M5YOhtrzfMtNk\nEUKImEXiwtOWdHeqAABAWna73ZGaaqU32O3fv3/SpEmOVKdp3rz5uHHjtCdSuPb111/Pnz+/\nd+/eTz/9dExMjNYZFxenqmpZWVlcXJwQwmq12mw2ra0ZNGjQoEGDtLbZbNYf7IxGY63tBvDe\nUDb3hrI5td2uyuqpoTxSlZtlAAAgq7CwMNfBrh6LJ641kOspQSFEdXX1okWLhgwZ8uSTTzpS\nnRAiPj4+JiZm//792ssDBw4YjUbHFB0aLe32O6XQysMtAACoF73BLiUlZe3atY6lDJpz586t\nXbs2JSXF9Xv3799//vz5Ll26fOHk/PnzoaGhw4YNy8vLKykpOXLkSG5ubnp6OnudwJlSaBVC\n5OUr2vMt/F0OAAABTe+l2Ozs7LS0tJ49e/72t7/t1q2bqqpffvllTk7OmTNnNm7c6Pq9J0+e\nVFV18eLFzp3Tpk0bPnz42LFjq6qqli5dWlNTM2DAgIkTJzbwe6BxcGQ7Nj0GAOBqeoNdSkpK\nUVHR7Nmz586d6+js1q1bbm6uYyO6axk5cuTIkSNr/ZGiKJmZmZmZmTrLADTOs3cPHpxZ0PNV\n54Yg+QEAGqV67GN35513Hjhw4Pjx40ePHhVCJCYmtm/f3nmzEiBwMLcHAGiE6hfLKioqtE2D\ne/Tocf3117telwEECG7OAwA0EvUIditWrGjdunV6enpGRkZJScmmTZvi4+MLCgq8VxzgKdoi\nDAAA5KY32G3evHn69Ompqanr1q3TepKTk5s0aTJmzBjHwyGAQKbN2+XlK87/+LsoAAA8SW+w\nW7JkSa9evYqLi8eOHav1dOnS5fPPP09KSlq0aJHXygMAAIBeeoPdwYMH77///tDQUOfOiIiI\nUaNGHTp0yAuFAb6Ql69wlRYAIA29q2Lj4uIqKyuv7rdYLFFR7jzOHvA/ltACAOSgd8auf//+\na9asKSsrc+4sLS1dv3593759vVAY4AfcewcACGp6Z+yWLFnSs2fP5OTkKVOmCCGKi4u3bdu2\nYsUKi8VyxSMlAAkohdbK3Vnhd8cKIdb88JwQIvOGZ9TBz/q7LgAAXNE7Y9e+fftdu3YlJCRo\nT57Izs5euHBhjx49du7cmZiY6M0KgQDCU2sBAIGsHk+e6N69+4cfflhWVnb48GGDwdCxY8fo\n6GjvVQYEOKXQuuZShOPlgwdnGpa84sd6AACoR7DTxMbG9u/f3xulAMHuipk8lmIAAHxMb7C7\ncOHCE0888eGHH1oslqt/eurUKY9WBchAy3nEOwCAz+gNdrNnz161alWfPn0GDhwYElK/J8wC\njZkW7zJNFiHEmksR5DwAgPfoDXabN28eOnToe++959VqAOnl5Sva3Xi2rFkFPV8VQozLULVN\nkh137GWaLOoIoz+rBAAEJ73Brqam5t577/VqKQAcnG/XY5IPAKCT3mDXr1+/kpISr5YCoFbK\n9vmV75UJIVh1CwBwTW+wy87Ovuuuu7p16zZp0qQrnhgLwDccV2+FEJkmi3bpdlyGyioNAIDG\nVbBLTU11ftmkSZOpU6fOnj27ffv24eHhzj/au3evV6oDoFtevjIuQz09o6L4lihCHgA0Tq6C\nXYsWLa542bNnTy/XA8ADHLfosW0yADQqroIda2ABCeTlK9pmK0KINZciMm94RgjBc28BQEqu\ndqRLSkp66aWXfFYKAJ/Jy1eUQmtevqI1/F0OAMAzXAW7o0ePnj9/3melAPAXLeH5uwoAgLt4\nhgSAXyiFVm0mT1z16FsAQODTu90JgEbIOds9eHCmECL8liWCZ6MBQKCqI9jt3Lnz+eefr3OU\nuXPneqgeAMFBKbQ6noFGyAOAAFFHsNuxY8eOHTvqHIVgBzRmjoW3lbuz2F0FAPyojmD3yCOP\nTJ8+3TelAJCA4zEYSqFVHWH0dzkA0LjUEezatm3br18/35QCQDLa5VrHQ88yTRaiHgB4FYsn\nAPgOCQ8AvIrtTgD4gS1rlmNrFVvWLH+XAwCScBXsHnnkkeTkZJ+VAqDRUrbPV7bPZ+c8AHCT\nq0uxubm5PqsDAMSvd1ERXLQFgHriUiyAQKcUWm1Zs7T5PO3qrbJ9vr+LAoBAxOIJAEFJy3Zr\nfnhuyO6LxbdEaZ1slQygkSPYAZCHUmit3J0lhCjo+ar472PQ2DMZQOPBpVgAkmPhLYDGg2AH\noFFQCq3iv7fo+bsWAPAWgh2ARodsB0BW3GMHoJE6PaPCsepCw9oLAMGOYAcAP3PcilfQ89UH\nD85k1QWAoMOlWACoHQ89AxB0mLEDgLppay+0vVTC745VBz+bl69kmixrLkVwARdA4CDYAYC7\nbFmzzJdeYJ9kAH5HsAMAD9Mm8079q1oI0Wp5pL/LAdCIcI8dAHiRdg0XAHyDGTsA8C7Htnlc\nogXgbQQ7APAR7RKt46U6wujHYgBIiUuxAOAfefmKdqGWJ2EA8BSCHQD4n7ZnnhBC2zZP2T7f\n3xUBCEoEOwAIRHn5ihbymM8DoB/BDgACnRby/F0FgCDA4gkACA5KoXXNpYgHD84UQvAcWwC1\nkjPYqapaa5uhGIqhGEqOofLylQcPzizo+aoQQltpW3NfuDtlAAgKdf5bImiCXb3+1XnhwoVa\n2w3gvaHc2efA+e2eqMrgqaECs6pa254YyuDOUL8+V24N9et2w/+oPX3avTSUm+fKeSg3z9Uv\nbTf/nGtt11fIjj+ae83eXBSnvbxnmDluh2HNpYh7hpndqA5AYLHb7TU1NS4OCJpgpyj1uL8k\nNja21nYDeG8om3tD2Zzabldl9dRQgVlVrW1PDNXwJwpcda7cGsq5fVpUuDeUB0+7l4Zy81z9\nMpTb5+qXtpt/zrW2PTGUVQjhiHpCiMwbnlEHP+vORwDwL7vdHhLiaoFE0AQ7AID7tEUYmSbL\nmksRPAkDkA+rYgGgkWKxLSAfgh0AAIAkuBQLAI2aLWuWtrpWCMHFWSDYEewAAD87PaOi+JYo\nQcIDghaXYgEAtcjLV7TH1wIIIgQ7AMA12bJmif8us1AKrdo/LLkAAhaXYgEA9aZsny8uPK21\n1RHu7NAMwJMIdgAAtzgm8DJveKbyvTKeYwv4EZdiAQCexOVawI8IdgAAr2DtBeB7BDsAgLdo\n83a2rFlM4AG+QbADAPiClu2YxgO8imAHAPApsh3gPayKBQD4mrJ9/pofnnO85EEXgKcQ7AAA\nfqZdpR2y+6IQotXySH+XAwQxgh0AIIBoIS/TZFlzKULrYT4P0I977AAAAU3bFU97uBkA1wh2\nAICgoT2yls1TgGvhUiwAICjl5SuZJosQwnHR1vkCruAaLholZuwAAAAkQbADAMgpL1/Rbs5j\n5zw0HgQ7AAAASRDsAAAAJMHiCQCA/Jy3x2NRBSTGjB0AoHFhtxRIjGAHAGiMtP3wTs+o0Nr+\nLgfwDIIdAACCJ1tADtxjBwCAEELYsmYV9HxVaz94cKbW5oY8BBdm7AAAuCZtMzx/VwHoRbAD\nAKAOSqGVZ9QiKHApFgAAvRzZjku0CEzM2AEAUG/aBJ6W85jJQ+Ag2AEA4K68fEXZPt/fVQAE\nOwAAPOf0jAom8OBH3GMHAICHOWe7TJNFHWH0YzFoVAh2AAB4F0su4DMEOwAAfMR5D2RBzoMX\nEOwAAPAP7Um1xbdEkfDgKSyeAADAzxy7H7PwAm4i2AEAAEiCYAcAQABh0g7uINgBABBYtGzH\nlnhoAIIdAACAJFgVCwBA4Do9oyLO9AchhGHJK/6uBUGAGTsAAIKAY+Us4ALBDgCAoJGXrxDv\n4ALBDgCAIEO2w7Vwjx0AAMHH8XSyTJNFCKGOMPq7IgQEgh0AAEFPKbRqDRJeI8elWAAA5JGX\nrzhCHhohgh0AAIAkCHYAAACSINgBACAhLsg2Tr4Odm+++WZlZaXjpaqqa9euffTRRydNmrRq\n1arq6mof1wMAACANnwa7r776auPGjXa73dGzYcOGoqKiyZMnP/bYYzt27HjjjTd8WQ8AAIBM\nfLTdyYEDB7Zs2bJ3717nzurq6qKiovHjx6elpQkhJk+enJOTk5GRER4e7puqAACQmFJoXXMp\nYlyG6u9C4Ds+mrEzGAydOnUaOnSoc+fJkyfNZnPv3r21lykpKRaLpbS01DclAQDQSPCkisbD\nRzN2nTt37ty589GjR//3f//X0Xn+/HlFUZo1a6a9jIyMNBgMZrPZcUBubq5jkq9p06b6P+7C\nhQu1thvAe0O5My3p/HZPVNXUU0MFZlW1tj0xVD1+J68e6tfnyq2hft0OdW8oD552Lw3l5rly\nHsrNc/VL280/51rbnhjKg79XblXltd92t6ry6O+Vc9tjv1ee/XN284whQNjt9pqaGhcH+PPJ\nExcvXjQYDCEhv8waGo3G8vJyx8tjx479+9//1toxMTFNDXpHdr6Nz7ndAN4byp3/Eji/3RNV\nNfXUUIFZVa1tTwzV8P8SXHWu3Brq1+2G/5fA06fdS0O5ea6ch3LzXP3SdvPPuda2J4by4O+V\nW1V57bfdrao8+nvl3PbY75Vn/5zdPGMIEHX+7+jPYGcymWw2m6qqivLzFLHVajWZTI4D5s6d\nO2fOHK194cKFqdN+o3Pk5s2b19puAO8Nddm9oS47td2uqtJTQwVmVbW2PTFUpYuD6xzq1+fK\nraGc2z+KS+4N5cHT7qWh3DxXvwzl9rn6pe3mn3OtbU8M5bHfKzer8tJvu5tVefT36pe2B3+v\nPPvn7OYZQ4Cw2+3OM2JX82ewi4uLU1W1rKwsLi5OCGG1Wm02m9bWGI1Go/HnZ97VaycUR1K8\not0ADMVQDMVQDMVQEgz148xLxbdEsZAi2NX5i+HPDYrj4+NjYmL279+vvTxw4IDRaExKSvJj\nSQAASCwvX2Ehhdz8OWMXGho6bNiwvLy8Nm3ahISE5Obmpqens9cJAABAw/gz2Akhxo4dW1VV\ntXTp0pqamgEDBkycONG/9QAAIL3TMypa3xWqjjD6uxB4nk+DXWJi4j/+8Q/nHkVRMjMzMzMz\nfVkGAACwZc0SQhT0fJUb72Tiz3vsAACA3ymFVn+XAI/x86VYAADgd9rsXfjdsergZ/1dC9zC\njB0AAPjZ6RkV/i4BbiHYAQCAX7AlSlAj2AEAgCuR7YIUwQ4AAEASBDsAAFALJu2CEcEOAADU\nTtsJRVszi6BAsAMAAHVgr7tgQbADAAB1I9sFBYIdAACAJAh2AABAL3a5C3AEOwAAUD88oCJg\nEewAAEC9nZ5RQbwLQAQ7AAAASRDsAABAA3G/XaAh2AEAAEiCYAcAACCJMH8XAAAAglhevjJk\n90UhRKvlkf6uBczYAQAAyIJgBwAAIAmCHQAA8ABWyAYCgh0AAPCM0zMqlEKrUmj1dyGNF8EO\nAAB4WF6+wnMp/IJgBwAAIAmCHQAA8AqeJ+t7BDsAAOBFLKrwJYIdAADwLrKdzxDsAAAAJEGw\nAwAAXsceKL5BsAMAAJAEwQ4AAPhIXr7C1J1XEewAAIBPsZbCewh2AADAD5RCKwnP4wh2AAAA\nkiDYAQAASIJgBwAA/IarsZ5FsAMAAJAEwQ4AAEASBDsAAABJEOwAAAAkQbADAAD+pBRaeRyF\npxDsAAAAJEGwAwAAkATBDgAAQBIEOwAA4H/cZucRBDsAABAQbFmz/F1C0CPYAQAASIJgBwAA\nAgVbn7iJYAcAAAKLUmjNy1f8XUVQItgBAABIgmAHAAAgCYIdAACAJML8jlrJZwAAIABJREFU\nXYBeqqrqP/jSpUu1thvAe0O5c+qd3+6JqkI8NVRgVlVr2xNDNfz/F111rtwaqtZ2Q4fy4Gn3\n0lBuniuv/F65+edca9sTQwXK71Uw/LYHTlUeHCow/93u3K7jtLv5cVKy2+2uE1HQBLt6CQsL\nq7XNUNcYqoaqGjRUTUAOZXdvKA+edi8N5ea5ch7KzXNVSzvAhvLg75WUVXnw98q57cHfq8D5\nc66l7Ymh6jjtbn6clOqc5wqaU6Yo9VgdYzAYam03gPeGsrk3lM2p7XZVVk8NFZhV1dr2xFAN\nX5B/1blya6hftxv+XwJPn3YvDeXmuXIeys1z9UvbzT/nWtueGMqDv1duVeW133a3qvLo75Vz\n22O/V4Hz5+zRf7c7t+s47eFbfk5+6gijO58rk5CQENeJiHvsAAAAJEGwAwAAkATBDgAAQBIE\nOwAAAEkQ7AAAQEDj8WL6EewAAAAkQbADAACQBMEOAABAEgQ7AAAASRDsAAAAJEGwAwAAgU4p\ntCqFDX/yW+NBsAMAAJAEwQ4AAAQHJu3qRLADAACQBMEOAABAEgQ7AAAASRDsAAAAJEGwAwAA\nkATBDgAAQBIEOwAAAEkQ7AAAACRBsAMAAJAEwQ4AAASNvHzF3yUENIIdAACAJAh2AAAAkiDY\nAQAASIJgBwAAgolSaPV3CYGLYAcAAIIP8a5WBDsAAABJEOwAAAAkQbADAACQBMEOAAAEJTYr\nvhrBDgAAQBIEOwAAAEkQ7AAAACRBsAMAAMGK3eyuQLADAACQBMEOAAAEN+btHML8XQAAAIC7\nnLc+GZeh+rES/2LGDgAASKUx729HsAMAALJptBdnCXYAAEBCeflKI5y6I9gBAABIgmAHAACk\n1dgm7Qh2AAAAkiDYAQAASIJgBwAAIAmCHQAAgCQIdgAAAJIg2AEAAEiCYAcAACAJgh0AAIAk\nCHYAAEBmtqxZ/i7Bd8L8+/Gqqubn52/btq2mpmbgwIETJkwIDQ31b0kAAABBys/BbsOGDUVF\nRTNmzAgLC1u+fLkQYtKkSf4tCQAAIEj581JsdXV1UVHR+PHj09LSUlNTJ0+e/P7771dWVvqx\nJAAAIB+l0KoUWv1dhS/4M9idPHnSbDb37t1be5mSkmKxWEpLS/1YEgAAkFVjiHf+vBR7/vx5\nRVGaNWumvYyMjDQYDGaz+f/bu/e4qOp9/+PfxQwCAzMDR4mKXYjubKs9eICCIimCIgIFgqFF\nmpeIdhaaIpUiqAftYBsfmpblo9RKt2l50A1e8IobvKVub7hF3WpyThqmiNxpYGB+f6z9mzOB\nkgqCLF/Pv9Z813d91ne+Ir4f67vW0tzh559/Lisrk7erqqruvrLRaLzt9n2gFKUoRSlKUYpS\nSir1128leeM1+2ohRN0L1tZb6+pesG7JeNrM737Z9gx2FRUVNjY2Vlb/d9XQzs6uvLzc/PGz\nzz7bvn27vK3X6zvZ3G3l0tLS227fhwdXStuyUlqL7RaPyr61Sj2co7rtdmuUsm9Jqd/OVYtK\n/XbbtmWlWnHaH1CpFs6VZakWztX/bbfwr/Ntt1ujVCv+XLVoVA/sp71Fo2rVnyvL7Vb7uXp4\n/jq36u92y+1W/Ovc0lLrv7d+zb76xvNV23c6i/+f+YQQvx78wNbvo6Jd9UKIJ4aphBBrqjRy\nB3nDsrP58KCDFeq5vzofsBdCCH3av89UNnNNlcbcWejTRNlMy4LmIa2p0oQE35APN2/feL5K\nCFFXV9fQ0NDM15FMJtN9z0ULHTt2LDU19W9/+5sk/Ts7jxo1avLkyf7+/vLHzMzMM2fOyNtW\nVlanTp368ssv22esAAAA7a2urm78+PFZWVl36tCeV+ycnJxMJlNpaamTk5MQoqamxmAwyNuy\nESNGjBgxQt6+detWfHy8g4ND+4wVAACgvdXV1Zkvh91Wez484ebmptfrT5w4IX88efKknZ3d\nM888045DAgAA6Lja84qdSqUKCwv761//6urqamVl9dVXXwUHB9va3v8tBQAAAI+ydn5B8Suv\nvGI0GtPT0xsaGp5//vmJEye273gAAAA6rnYOdpIkvfbaa6+99lr7DgMAAEAB2vMeOwAAALQi\ngh0AAIBCEOwAAAAUgmAHAACgEAQ7AAAAhSDYAQAAKATBDgAAQCEIdgAAAApBsAMAAFAIgh0A\nAIBCEOwAAAAUgmAHAACgEAQ7AAAAhSDYAQAAKATBDgAAQCEIdgAAAApBsAMAAFAIgh0AAIBC\nEOwAAAAUgmAHAACgEAQ7AAAAhVC39wDuQUNDQ3l5eXuPAgAAoH0YjcbmO3SYYGc0Go1G44QJ\nE4QQkiQJIUwmk7wtSVJDQ4PczcrKyrytUqnq6+sbtZtMJpVKZTKZzIdTilKUo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      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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t94Iz9NXXtTseoBCJsROwCAQAh2AACBEOwAAAIh2AEABEKwAwAIhGAHABAIwQ4A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\nYQcAAADAECjsAAAAABji/wBLV7NW0++lFQAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[1m\u001b[22m`stat_bin()` using `bins = 30`. Pick better value with `binwidth`.\n",
      "\u001b[1m\u001b[22m`stat_bin()` using `bins = 30`. Pick better value with `binwidth`.\n",
      "\u001b[1m\u001b[22m`stat_bin()` using `bins = 30`. Pick better value with `binwidth`.\n"
     ]
    },
    {
     "data": {
      "image/png": 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hYW/ulPf7J3IQAAAPZhNBpnz55dxwVO\nE+yEEO7u7m3btrV3FQAAAPZRWVlZ9wWMsQMAAJAEwQ4AAEASBDsAAABJEOwAAAAkQbADAACQ\nBMEOAABAEgQ7AAAASRDsAAAAJEGwAwAAkATBDgAAQBIEOwAAAEkQ7AAAACRBsAMAAJAEwQ4A\nAEASbjb7pAMHDnz11Vf//e9/H3nkkRdffLFNmzZCCJPJlJGRsXfv3urq6gEDBkyaNMnV1dVm\nJQEAAMjERj12+/fv//Of/zxs2LA//vGPVVVVKSkpJpNJCLFp06Zt27ZNnTr1xRdf3Ldv39//\n/nfb1AMAACAfGwW7zz77LCEhIS4urlevXn/4wx+aNm36888/V1VVbdu2beLEibGxsVFRUVOn\nTt21a1d5ebltSgIAAJCMLYLd+fPnz58/379/f/W0ZcuWS5cubdWq1YULF3Q6XZ8+fdT2yMhI\nvV5fUFBgg5IAAADkY4sxdteuXVMU5Ycffli6dOkvv/wSHh4+bdq09u3bq+1NmjRRL/P19fXw\n8NDpdOYbDx8+fP78efXYaDRWV1fTnwcAABqtyspKdTDbvdgi2F2/fl0IkZ6e/vzzzwcEBGze\nvHnhwoV//etfb9y44eHh4eLya6+hl5dXSUmJ+TQrK2vHjh3qcUBAQLNmzUpLS21QMAAAgANy\niGDn6elpMplmz57dpUsXIcSrr746ceLE7777zs/Pr6KiwmQyKYqiXmkwGHx8fMw3jho1KjIy\nUj02Go1ffvmlr6+vDQoGAABwQJWVlebUdFe2CHYBAQFCiODgYPXU09OzefPmRUVF7du3N5lM\nxcXFQUFBQgiDwVBRUaEeq6KioqKiotRjnU6XlZXl6elpg4IBAAAckKura93BzhaTJzp06ODt\n7X369Gn1tKys7Oeff27btm1wcHBAQEBubq7afuzYMS8vr/DwcBuUBAAAIB9b9Nh5eHgMHz78\no48+mjFjhp+f3/r161u2bBkVFeXq6jpixIj09PS2bdu6uLisW7cuLi6OPjkAAID6sdHOE5Mm\nTVIUZdWqVXq9vmfPni+//LK6w0R8fLzRaHznnXeqq6v79+8/efJk29QDAAAgHxsFO0VRJk2a\nNGnSpDvbExMTExMTbVMGAACAxGy080SDqLxQbe8SAAAAHJczBTsAAADUgWAHAAAgCYIdAACA\nJAh2AAAAkiDYAQAASIJgBwAAIAmCHQAAgCQIdgAAAJIg2AEAAEiCYAcAACAJgh0AAIAkCHYA\nAACSINgBAABIgmAHAAAgCYIdAACAJAh2AAAAkiDYAQAASIJgBwAAIAmCHQAAgCQIdgAAAJIg\n2AEAAEiCYAcAACAJgh0AAIAkCHYAAACSINgBAABIgmAHAAAgCYIdAACAJAh2AAAAkiDYAQAA\nSIJgBwAAIAmCHQAAgCQIdgAAAJIg2AEAAEiCYAcAACAJgh0AAIAkCHYAAACSINgBAABIgmAH\nAAAgCYIdAACAJAh2AAAAkiDYAQAASIJgBwAAIAmCHQAAgCQIdgAAAJIg2AEAAEiCYAcAACAJ\ngh0AAIAkCHYAAACSINgBAABIgmAHAAAgCYIdAACAJAh2AAAAkiDYAQAASIJgBwAAIAmCHQAA\ngCQIdgAAAJIg2AEAAEiCYAcAACAJgh0AAIAkCHYAAACSINgBAABIgmAHAAAgCYIdAACAJAh2\nAAAAkiDYAQAASIJgBwAAIAmCHQAAgCQIdgAAAJIg2AEAAEiCYAcAACAJgh0AAIAkCHYAAACS\nINgBAABIgmAHAAAgCYIdAACAJAh2AAAAkiDYAQAASIJgBwAAIAmCHQAAgCQIdgAAAJIg2AEA\nAEiCYAcAACAJgh0AAIAkCHYAAACSINgBAABIgmAHAAAgCYIdAACAJAh2AAAAkiDYAQAASIJg\nBwAAIAk3exeglclkEkJcv37d3oUAAADYR2VlZXV1dR0XOE2wUxRFCOHr62vvQgAAAOyjsrLS\nxaWu161OE+xUrq6u9i4BAADAPururhOMsQMAAJAGwQ4AAEASBDsAAABJEOwAAAAkQbADAACQ\nBMEOAABAEgQ7AAAASRDsAAAAJEGwAwAAkATBDgAAQBIEOwAAAEkQ7AAAACRBsAMAAJAEwQ4A\nAEASBDsAAABJEOwAAAAkQbADAACQBMEOAABAEgQ7AAAASRDsAAAAJEGwAwAAkATBDgAAQBIE\nOwAAAEkQ7AAAACThfMHuyqxSe5cAAADgiJwv2AEAAOCuCHYAAACSINgBAABIgmAHAAAgCYId\nAACAJAh2AAAAkiDYAQAASIJgBwAAIAmCHQAAgCQIdgAAAJIg2AEAAEiCYAcAACAJgh0AAIAk\nCHYAAACSINgBAABIgmAHAAAgCYIdAACAJAh2AAAAkiDYAQAASIJgBwAAIAmCHQAAgCQIdgAA\nAJIg2AEAAEiCYAcAACAJgh0AAIAkCHYAAACSINgBAABIgmAHAAAgCYIdAACAJAh2AAAAkiDY\nAQAASIJgBwAAIAmCHQAAgCQIdgAAAJIg2AEAAEiCYAcAACAJgh0AAIAkCHYAAACSINgBAABI\ngmAHAAAgCYIdAACAJAh2AAAAkiDYAQAASIJgBwAAIAmCHQAAgCQIdgAAAJIg2AEAAEiCYAcA\nACAJgh0AAIAkCHYAAACScMpgl56h2LsEAAAAh+OUwQ4AAAB3ItgBAABIgmAHAAAgCYIdAACA\nJAh2AAAAknDiYMfcWAAAgJqcONgBAACgJoIdAACAJAh2AAAAkiDYAQAASIJgBwAAIAmCHQAA\ngCQIdgAAAJIg2AEAAEjC1sHup59+mj59emlpqXpqMpnWr1//wgsvTJkyZe3atVVVVTauBwAA\nQBputvywysrK995778qVKyaTSW3ZtGnTtm3bZs2a5ebm9tFHHwkhpkyZYsuSAAAApGHTHrtP\nP/3UaDSaT6uqqrZt2zZx4sTY2NioqKipU6fu2rWrvLzcliUBAABIw3bB7vjx4wcPHnzhhRfM\nLRcuXNDpdH369FFPIyMj9Xp9QUGB9meyXSwAAICZjYLdjRs3Pvjgg5deesnf39/ceO3aNUVR\nmjRpop76+vp6eHjodDrblAQAACAZG42x+8tf/hITExMZGXnmzBlz440bNzw8PFxcfg2XXl5e\nJSUl5tMFCxbs2LFDPQ4ICGgqWhQWFgrhKYQoLCxU280HAAAAcqusrKyurq7jAlsEuz179vz3\nv/+dM2dOrXYfH5+KigqTyaQot96oGgwGHx8f8wVt2rTp0qWLeuzp6Xn9h1I3Nzd1jJ6b263K\nzQcAAAByM08/vRdbpKL8/PwLFy6MGzfO3PLss88OGTLkd7/7nclkKi4uDgoKEkIYDIaKigr1\nWDVz5syZM2eqxzqdbsbomYGBgVdEqRAiMDBQbTcfAAAAyK2ysrLmq8472SLYTZgwYeTIkerx\nTz/99M477yxfvrxly5aBgYEBAQG5ubmPP/64EOLYsWNeXl7h4eE2KAkAAEA+tgh2TZo0Mc+Q\nuHnzphDi4Ycf9vPzE0KMGDEiPT29bdu2Li4u69ati4uL8/T0tEFJAAAA8rHzALX4+Hij0fjO\nO+9UV1f3799/8uTJ9q0HAADAedk62IWFhX311VfmU0VREhMTExMTbVwGAACAfGy9VywAAACs\nxOmDXXqGwv4TAAAAQoJgBwAAABXBDgAAQBIEOwAAAEkQ7AAAACRBsAMAAJAEwQ4AAEASBDsA\nAABJEOwAAAAkYdmWYjdu3PjXv/5VWFg4ePBgPz8/b29vRWFxYAAAAIdgQY/dqlWrWrduHRcX\nl5CQkJ+fv2XLluDg4MzMTOsVBwAAAO20BrutW7cmJSVFRUVt2LBBbYmIiHB3d58wYcKOHTus\nVh4AAAC00hrsVqxY0bt37+zs7Pj4eLWla9euJ0+eDA8PT01NtVp5AAAA0EprsDt+/PjTTz/t\n6upas9Hb23vs2LEnTpywQmEAAACwjNZgFxQUVF5efme7Xq/38/Nr0JIAAABQH1qDXUxMTFpa\nWnFxcc3GgoKCjRs3RkdHW6EwAAAAWEbrcicrVqzo1atXRETEtGnThBDZ2dl79+5dtWqVXq9f\nvny5NSsEAACAJlp77Dp06HDw4MGQkJD58+cLIVJSUhYvXtyzZ88DBw6EhYVZs0JNlCyDvUsA\nAACwMwsWKO7Ro8eePXuKi4vz8vI8PDw6duzo7+9vvcoslZ6hCCGeSzDZuxAAAAD7sGznCSFE\nYGBgTEyMNUoBAADAg9Aa7CIiIu7a7u7u7u/v37Nnz5dffrl9+/YNVxgAAAAso3WMXd++fa9c\nuXLs2LFz584JIVxcXH766adjx44VFRVdvXp19erVjzzySHZ2tjVL1SQ9Q1GyDAy5AwAAjZDW\nYBcXF1dYWLhq1aqrV6/m5uYePXr0l19++fjjj69fv/6///u/ly9ffvrppydPnmwyOcoQN3XI\nHQAAQOOhNdi99957zz///PTp093d3dUWNze3KVOmjBs3bsGCBX5+fsuWLbtw4YLanwcAAADb\n0xrs8vLy7jqELjg4+LvvvhNCNG3aVAjx008/NWBxAAAA0E5rsIuMjPziiy8MhtvGrpWXl3/+\n+eddu3YVQnz77bdCiODg4AYvEQAAAFponRW7ePHioUOH9u3bd/r06Z06dTKZTKdPn16zZk1e\nXt7u3btzcnLGjRs3YMCA0NBQq5YLAACAe9Ea7B599NHt27e//vrrL7/8srmxS5cuO3bsGDhw\n4OrVqyMjI9PT061TJAAAAO7PggWKH3/88SNHjhQUFJw5c+bmzZthYWHh4eGurq5CiGnTpk2f\nPt1qRdaTOjE20UdvGuVl71oAAACszuKdJ0JDQ2u+b929e/c777yzY8eOBq0KAAAAFrMg2G3a\ntCk7O7vW/IlDhw6VlpY2dFUNTMky0GkHAACkpzXYrV69esaMGf7+/kajUa/XBwcHV1VVXbx4\nsWXLlu+9955VSwQAAIAWWpc7WblyZXR09NWrV8+ePevp6ZmVlXX+/Pn9+/cbjcZBgwZZs8IG\nc2WWo/csAgAAPAitwe7s2bOjR49+6KGHWrVq1a1bt6NHjwohBgwYMGbMmLlz51qzQgAAAGii\nNdh5eXkpyq3dV0NCQvLy8tTjfv36HTx40CqlAQAAwBJag12XLl22bNmi0+mEEJ07d967d6/a\nnp+fX1JSYq3qAAAAoJnWYDd37txvv/02JCSkrKzsqaeeOnr0aFJSUnJy8urVq2NjY61aIgAA\nALTQOit2xIgRn3zySUZGhslkioqKWrx48dKlSysrK0NCQt5//32rlggAAAAttPbYCSEmTZq0\nc+dOX19fIcTChQuLiopOnTqVn5/fuXNnq5UHAAAArTQFO71eHxoa+vHHH9ds9PPz69atm7u7\nu3UKAwAAgGU0BTtvb+/AwEAJZr+qu8cqOcn2LgQAAKDhaX0V++mnn+7evXvNmjVVVVVWLQgA\nAAD1o3XyxOLFi8PDw6dPn/7KK6+0b9/ex8en5p8ePnzYCrUBAADAAlqDXWFhoRDCWXYPAwAA\naIS0BjvzisQAAABwTFqDnerGjRv/+te/CgsLBw8e7Ofn5+3tbd5nDAAAAPZlwTp2q1atat26\ndVxcXEJCQn5+/pYtW4KDgzMzM61XHAAAALTTGuy2bt2alJQUFRW1YcMGtSUiIsLd3X3ChAk7\nduywWnkAAADQSmuwW7FiRe/evbOzs+Pj49WWrl27njx5Mjw8PDU11WrlAQAAQCutwe748eNP\nP/20q6trzUZvb++xY8eeOHHCCoUBAADAMlqDXVBQUHl5+Z3ter3ez8+vQUuyBXULCgAAAJlo\nDXYxMTFpaWnFxcU1GwsKCjZu3BgdHW2FwqxOyUlmbzEAACATC8bYlZSURERELFu2TAiRnZ29\naNGi/v376/X65cuXW7NC61KyDPYuAQAAoGFoDXYdOnQ4ePBgSEjI/PnzhRApKSmLFy/u2bPn\ngQMHwsLCrFkhAAAANLFggeIePXrs2bOnuLg4Ly/Pw8OjY8eO/v7+1qsMAAAAFtHaYzd8+PAN\nGzYYDIbAwMCYmJiIiAhpUp2SZeCFLAAAkIDWYHfw4MGEhIRWrVq98MIL+/fvN5lMVi3L9sh2\nAADA2WkNdr/88ktmZubw4cM3btz42GOPhYaGvvnmm2fOnLFqcTZG1x0AAHBqWkBhCe4AACAA\nSURBVIOdt7f3uHHjPvvss6tXr27evLlfv37vvfdeeHj4gAEDVq9ebdUSAQAAoIXWYGfm5eU1\nduzYjRs3Xrp0KSkp6dChQzNmzLBGZQAAALCIBbNiVXq9fteuXV988cXWrVt1Ol1gYODo0aOt\nURkAAAAsojXY6XS6rVu3fvnllzt37tTr9f7+/qNGjRo/fnxcXNxDDz1k1RIBAACghdZg16JF\nC6PR6OvrO3r06PHjxw8fPtzDw8OqldmLkmVIK/MWQjyXINvMXwAAIDetwW7s2LHjx49/4okn\nvLy8rFqQ41Bykk2Dlti7CgAAAK20BruNGzcKIUwm048//nj27Fmj0fjII48EBwe7uFg8/QIA\nAADWYEEsy87OjoiICAkJGTp06PDhw0NDQ3v37r1nzx7rFQcAAADttPbYHT16dOTIkc2aNVu8\neHGPHj1cXFxOnTq1cuXKJ5544ttvv+3du7dVq7QXJctgGtVYXj0DAABnpzXYLViwoHXr1keO\nHGnWrJnaMmrUqKSkpD59+ixYsGDr1q1Wq9D+0jMUIcRzCab0DIUZFQAAwGFpfRWbm5ubkJBg\nTnWqpk2bPvfcc0ePHrVCYQAAALCMBWPsFEW5a7vJ1Ig6sdTeOwAAAAekNdhFRkauX7++qKio\nZmNRUdH69esjIyOtUJjjUnKSlZxke1cBAABQm9YxdikpKbGxsb169Zo5c2b37t1NJtP333+/\ncuXKq1evbt682aolOibG2wEAAEejNdhFRkZu27Ztzpw58+fPNzd279593bp1ffr0sU5tju7K\nrFIhROthrsycBQAAjkBrsBNCDBky5NixY+fOnTtz5owQIiwsrEOHDixQDAAA4CC0BrubN28+\n9NBDiqKEhoZ6enpevHiRbSfMzEPu0i4tFWwyCwAA7OQ+ycxoNC5btqxz584bNmwwN548eTI6\nOjooKGjBggU3b960coUAAADQpK5gV1lZOXTo0Pnz5+v1+uDgYHN7t27d3njjjVatWr311luD\nBw+urq62fp3ORMky2LsEAADQGNUV7P72t7/t27fvtdde+/HHHwcNGmRub9euXWpq6n/+85/4\n+PhDhw6tWrXK6mUCAADgfuoKdmlpaWFhYcuWLbvrWDo3N7f169e3b99+48aNVivPWdFpBwAA\nbK+uYHf27NlHH33Uze2eEyxcXFwGDhyYn59vhcJkoOQkk/AAAIDN1BXsXFxcvLzus0Kbr68v\n8ycAAAAcQV3BrkePHkeOHKn7/n/9619dunRp0JIAAABQH3UFu8GDBx8+fPjzzz+/1wVr1649\nduzYY489ZoXCAAAAYJm6gt3rr7/erVu3iRMnvvvuu6WlpTX/qKSkJCUlZebMmSEhITU3GcNd\npWco9i4BAADIr66dJzw8PL788stp06a99tprKSkp3bt379Chg6IoBQUFp06dKikpiY2NXbNm\njY+Pj83KdV5KTrJp0BJ7VwEAAGR2ny3FwsLC9u7d+/nnn69ZsyYvL+/QoUMmk6lt27bR0dHx\n8fFTpkxRFPqiAAAAHIKmvWLHjh07duxYIYRerzcajf7+/lauSk7qlrL02wEAACu5z16xtXh7\ne5PqHhDj7QAAgJVYFuzQINIzFOIdAABocAQ7u1HfzAIAADQUTWPsHIHJZBJCVFRUqKfmA40c\n80Z1w7Hy4cRrAABwf5WVlWoiuhenCXYqo9FY60CCGzM/93x6VGnd1wAAANw3VDhNsFPXVfHx\n8bkhStUDi25/kBtrHVjjRt9sFyFEWpn3cwl1xXAAANCYVVZW1r3SXF3BLjY2VuPH/POf/7Sg\nKAAAAFhBXcHOzc1p+vOkoY66o+sOAADUQ13R7cCBAzarA7WoW5ApWQZCHgAA0OhB52Pu3r17\n+PDhDVIK7kXJMqg9eQAAAHWw4GXrpk2bsrOzDYbbEsahQ4dKS5nRCQAAYH9ag93q1atnzJjh\n7+9vNBr1en1wcHBVVdXFixdbtmz53nvvWbVEqNSXs/auAgAAOC6tr2JXrlwZHR199erVs2fP\nenp6ZmVlnT9/fv/+/UajcdCgQdasEL/inSwAAKiD1mB39uzZ0aNHP/TQQ61aterWrdvRo0eF\nEAMGDBgzZszcuXOtWSFqYy8yAABwV1pfxXp5eZkXxAsJCcnLy1OP+/Xrt3jxYquUhnszr4qi\nnib66E2jvOxaEQAAsD+tPXZdunTZsmWLTqcTQnTu3Hnv3r1qe35+fklJibWqg2bpGUp6Rl1L\nUQMAAOlpDXZz58799ttvQ0JCysrKnnrqqaNHjyYlJSUnJ69evVr7BhWwNgbhAQDQmGkNdiNG\njPjkk0/69etnMpmioqIWL168du3apUuXBgUFvf/++1YtEfVwZVapOhSPAXkAADQeFixQPGnS\npJ07d/r6+gohFi5cWFRUdOrUqfz8/M6dO1utPAAAAGhlQbDT6XT/8z//s2/fPvV0/fr127dv\n1+v11ikMAAAAltEa7IqKiiIjI19++eXvv/9ebcnLy3vttdd69ep1/vx5q5WHBsCoOwAAGgmt\nwe61117T6XR///vfp0+frrZ88MEHBw8eLCkpmTdvntXKQ8NQcpKVnGR15izzZwEAkJXWYLd/\n//5p06ZNnDjRze3Xpe/69+8/Y8YM88tZOBE13tGZBwCATLQGO51Op06bqMXHx6esrKxBS4JN\nmTvz7F0IAAB4UFqDXd++fTdv3lxrqkR5efnmzZsjIyOtUBgAAAAso3VLsUWLFj322GMxMTGz\nZ8/u3r27m5tbXl7eBx98cPLkyezsbKuWCAAAAC20BrvY2Ngvv/xyzpw506ZNMze2a9du/fr1\ngwcPtk5tsCkly8CGswAAODWtwU4IMXLkyN/+9re5ubmnT5++efNmeHh4nz59PD09rVccbE8d\nbPdcgsnehQAAAItZEOyEEG5ublFRUVFRUVaqBo5DyUk2DVpi7yoAAIAF6gp2w4YN8/Hx2bJl\ni3pcx5XffPNNA9cFB6DkJIvr84QQvKIFAMAp1BXsiouLjUajelxaWmqTeuCI0jOUxDYLhRD0\n4QEA4MjqCnaHDx82H//zn/+0fjFwdLyfBQDAkWldxy4xMTEvL+/O9gMHDsyaNatBS4JDY0cy\nAAAc1n2CXWlpaVFRUVFRUXp6+g8//FB0u6tXr+7YsWPdunW2qRWOQ8kyXJlVemUWL+gBAHAg\n95kV+9JLL33yySfq8ahRo+56DevYAQAAOIL7BLsJEyZ0795dCPHqq6+++OKLHTt2rHWBv7//\nM888Y63q4PCULENamTfr3gEA4AjuE+yGDx8+fPhwIcTWrVtnzJjRq1cvm1QF58O8CgAA7E7r\n5Im9e/f26tXrxo0b33zzzYYNG65cuVJWVmYy0U+DXylZBvF/e1cAAADb0xrshBCrVq1q3bp1\nXFxcQkJCfn7+li1bgoODMzMzrVccnFR6hqLkJKv/sXctAAA0IlqD3datW5OSkqKiojZs2KC2\nREREuLu7T5gwYceOHVYrD05PyTIoWQZz1LN3OQAAyExrsFuxYkXv3r2zs7Pj4+PVlq5du548\neTI8PDw1NdVq5UE2vKgFAMB6tAa748ePP/30066urjUbvb29x44de+LECSsUBmmxxDEAAFai\nNdgFBQWVl5ff2a7X6/38/Bq0JDQKSk4y8Q4AgIalNdjFxMSkpaUVFxfXbCwoKNi4cWN0dLQV\nCkNjoc6lBQAAD86CMXYlJSURERHLli0TQmRnZy9atKh///56vX758uXWrBDyI9sBANAgtAa7\nDh06HDx4MCQkZP78+UKIlJSUxYsX9+zZ88CBA2FhYdasEAAAAJrcZ+eJmnr06LFnz57i4uK8\nvDwPD4+OHTv6+/tbrzI0NjWH3LFHGQAA9aCpx06v14eGhn788cdCiMDAwJiYmIiICFIdAACA\nQ9EU7Ly9vQMDAw8ePGjtagAVo+4AAKgHrWPsPv300927d69Zs6aqqsqqBQEAAKB+tI6xW7x4\ncXh4+PTp01955ZX27dv7+PjU/NPDhw9boTY0amqnnWmUl70LAQDAaWgNdoWFhUKIQYMGWbEW\nAAAAPACtwW7v3r1WrQMAAAAPyILlToQQJpPpp59+Onv2rNFofOSRR4KDg11ctI7SA+ohPUN5\n5vhLQgjPJwJNg5bYuxwAAByaBbEsOzs7IiIiJCRk6NChw4cPDw0N7d279549e6xXHFBTeobC\n9rIAANRBa4/d0aNHR44c2axZs8WLF/fo0cPFxeXUqVMrV6584oknvv322969e1u1SsBMyTKI\ngFR67wAAuJPWYLdgwYLWrVsfOXKkWbNmasuoUaOSkpL69OmzYMGCrVu3Wq1C4O6UnGTiHQAA\nNWl9FZubm5uQkGBOdaqmTZs+99xzR48etUJhAAAAsIwFY+wU5e7Dm0wmtvWEfSg5yUKI9AyF\nnSoAABDag11kZOT69euLiopqNhYVFa1fvz4yMtIKhQGWUadWKDnJ6n/sXQ4AAHagdYxdSkpK\nbGxsr169Zs6c2b17d5PJ9P33369cufLq1aubN2+2aokAAADQQmuwi4yM3LZt25w5c+bPn29u\n7N69+7p16/r06WOd2oD6U7IMbEcGAGhsLFigeMiQIceOHTt37tyZM2eEEGFhYR06dGCBYjgs\n8wtZJs8CABoJy2JZaWnp2bNni4qKevbs2bJly3tNpwAcipJlYHYFAKAxsCDYrVq1qnXr1nFx\ncQkJCfn5+Vu2bAkODs7MzLRecQAAANBOa7DbunVrUlJSVFTUhg0b1JaIiAh3d/cJEybs2LHD\nauUBDUbtt1OyDMyZBQDISmuwW7FiRe/evbOzs+Pj49WWrl27njx5Mjw8PDU11WrlAVbBnrMA\nAClpDXbHjx9/+umnXV1dazZ6e3uPHTv2xIkTVigMsDq67gAAktE6KzYoKKi8vPzOdr1e7+fn\n16AlAbZjnlTB2igAAAlo7bGLiYlJS0srLi6u2VhQULBx48bo6GgrFAbYVMXc2ereFfYuBACA\n+rNgjF1JSUlERMSyZcuEENnZ2YsWLerfv79er1++fLk1KwRsimwHAHBeWl/FdujQ4eDBg3/4\nwx/UnSdSUlKEEHFxcW+//XZYWJgVCwRsTh17l3ZpqXr6XILJruUAAKCVBTtP9OjRY8+ePcXF\nxXl5eR4eHh07dvT397deZYCDUHKS2bsCAOAULAh2qsDAwJiYGGuUAjgs5lgAAJyC1mB3/fr1\nV199dc+ePXq9/s4/vXz5coNWBTgoeu8AAI5Ma7CbM2fO2rVr+/btO2DAABcXy3aYBSSjZBlE\nQKpp0JL0DCXRRy8CUoUQBD4AgN1pDXZbt24dPnz49u3brVoN4LyULENambcQItFHrx4w6wIA\nYGNag111dfXvfvc7q5YCSMa8swWdeQAA29D6UrVfv375+flWLQWQFUsfAwBsQ2uwS0lJycjI\nWLNmTVVVlVULAiSmZBnUbjxyHgDAGup6FRsVFVXz1N3dffr06XPmzOnQoYOnp2fNPzp8+LBV\nqgPkpWQZWDwFANCw6gp2zZo1q3Xaq1cvK9cDAACAeqor2DEHFgAAwInUNcYuPDz8T3/6k81K\nARobJcugjrpTD+xdDgDA6dUV7M6cOXPt2jWblQI0csyoAAA8IPaQAAAAkITWBYoB2MCdL2TT\nyrzZwQIAoNF9gt2BAwfeeuut+z5l/vz5DVQPgLtQ39KS8AAAdbtPsNu3b9++ffvu+xSCHWAb\nFXNnZ/b6s/mUqAcAqOk+we75559PSkqyTSkALFUxd7YQwvOJQLajBQCI+wa7du3a9evXzzal\nAKg3dacy4h0ANHJMngDkoWQZRECqECLt0lLe0gJAI8RyJ4Cc1D489b8BAI1EXcHu+eefj4iI\nsFkpAKxBnVHL5hYA0BjU9Sp23bp1NqsDgA3cynYBqYzGAwApMcYOaIzMCU9cn1eznfWQAcCp\nMcYOwG0YlgcAzstGPXY3b95cu3Ztbm7u9evXw8PDp0yZEhISIoQwmUwZGRl79+6trq4eMGDA\npEmTXF1dbVMSgDooWQbTKC97VwEAsIyNgt2KFSvOnTs3Y8aMwMDAjRs3Llq06C9/+Yuvr++m\nTZu2bds2a9YsNze3jz76SAgxZcoU25QEoG5qtjMvoSJYRQUAHJ4tXsUWFhYePnz45Zdf7tev\nX6dOnebOnavX648cOVJVVbVt27aJEyfGxsZGRUVNnTp1165d5eXlNigJQP0oOclKTrKSZaiY\nO7ti7mwly5CeoagTbwEAdmeLYFdSUhIWFvbII4+opx4eHp6ensXFxRcuXNDpdH369FHbIyMj\n9Xp9QUGBDUoC0LAYmQcAjsAWr2JDQ0Pff/998+nhw4evX7/erVu3a9euKYrSpEkTtd3X19fD\nw0On05mvzMrK+v7779VjFxcXIURpaal6aj7QyIluvP0J9Rlx6ERf1vwd7fTjrfeN9a75Qb+s\ne31vtOh36fZStd6o5CTf6Pu6JQUCACxTWVlpMtU1JMamy52YTKZvvvlm1apVTz75ZHh4+P79\n+z08PNTEpvLy8iopKTGfHj58eMeOHepxQEBAU9GivLxcCE8hhKVvbB/sxtsOrH3j7U/wqe+N\nzvFlzd/RTj/eet9Y75of9MtaFOxu/ylZ8Lt0e6mW3bhjV/PhcVctKRMAoJUDBbuff/75T3/6\n048//vjCCy888cQTQggfH5+KigqTyaQotwboGAwGH59f/y0yc+bMZ599Vj0uKyt7+/97LzAw\nsFCUCyECAwMt+vQHubHWgbVvvP0JlfW70Vm+rPk72unHW+8b613zg37ZqvreaNHv0u2lWnqj\naP4Pn8qR7hs3uQshEn30Qoi0Mu/48fX5ZQYA1FRZWVmzR+xONgp2P/zwQ3Jycp8+febNmxcQ\nEKA2BgUFmUym4uLioKAgIYTBYKioqFCPVW3atGnTpo16rL6idXO7VbD5QCMnuvH2J9Tn34VO\n9GXN39FOP95631jvmh/0y1oU7G7/KVnwu3R7qZbeeNuBmfvXlUIIllABgAdRd3edsM3kiaqq\nqtTU1KFDh7722mvmVCeECA4ODggIyM3NVU+PHTvm5eUVHh5ug5IA2IWSZVDn1dq7EACQky16\n7HJzc69du9a1a9dTp06ZG9u0adOkSZMRI0akp6e3bdvWxcVl3bp1cXFxnp6eNigJgH0pOclp\nl5YKIRLbLLzVdH0e/XkA8IBsEewuXLhgMpmWL19es3HGjBkjR46Mj483Go3vvPNOdXV1//79\nJ0+ebIN6ADgmJSfZNGiJkmVQt6xVO/ZMg5bYuy4AcBq2CHajR48ePXr0Xf9IUZTExMTExEQb\nlAHAGZlXP2bTCwC4L1uMsQOAB6dkGZQsg72rAACHRrADAACQhE0XKAaAB6TkJIvr84QQIiBV\nbWEQHgCY0WMHwLmlZyjqOLz0DIV3tQAaOYIdANkQ7wA0WryKBSCh9AzlmeMvCSE8f7OC5fEA\nNB4EOwCSU1/UJrZZeGtJZB89UQ+ArAh2ABodc9QTQpgGLWElZADSYIwdANzCJrYAnB09dgDw\nq1+zHXvXAnBCBDsAuDs15JVvL9aVLRNCZP/GT52Qkdnrz+xvBsAx8SoWACz268p5OclCCCXL\noB7zMheAfdFjBwANSclJLt9eLITwfCJQ3SQjrcxbnaiRdmkpc3IBWBU9dgBgaxVzZ6urKCtZ\nBpZTBtCA6LEDADtTX+yaMYAPQL3RYwcAjsU8XE8duqeemkf1mQ/sXSYAR0SPHQA4JfM7XAbt\nATCjxw4AAEASBDsAcG6ssQLAjFexAOD0br2WDUi9dc62GUBjRbADAAnd6sa7Pk89JecBjQSv\nYgFAfubptEpO8pVZpfYuB4C1EOwAoDEyr6Jya3UVlkoGpMCrWADALUqWQR2oZxq0xN61AKgP\neuwAALWZO/PSM5Rbu58x9xZwBvTYAQA0UbIMplFetRIefXuAQyHYAQDqzzz9lom3gCMg2AEA\nGoD6xjatzDvRRy9YYAWwE8bYAQAaHmPyALsg2AEArEJdOU9dTsXetQCNBcEOAGALrJMH2ADB\nDgBgI2ofHgDrYfIEAMB2bvXbBaSqp6yWAjQseuwAAHbD+1mgYdFjBwCwJ/M6Keppoo+epVKA\neqPHDgDgWNRZtHTmAfVAsAMAOKhbCS8nWclJVrIMRD3gvgh2AAAAkiDYAQCcRnqGQtcdUAcm\nTwAAnE96hpLYZqEQIu3SUnV3WhGQKq7PY+IFGjl67AAAUqE/D40ZwQ4AIBvm1aLR4lUsAEBa\n5mzHK1o0EgQ7AID8zGPyGIcHufEqFgDQuKRnKOkZir2rAKyCYAcAaIzIdpASwQ4A0EipS+KR\n8CATgh0AoLFj/iykQbADAEAIdVuLnGR7VwE8EIIdAAC3UTcus3cVQH0Q7AAAuAsmz8IZsY4d\nAAD3lJ6hDD10QwjRepir2sIyeHBk9NgBAGABJSeZzjw4LIIdAACAJAh2AADUR3qGcmVW6ZVZ\npebptMy6gN0R7AAAaGBKTjIJD3bB5AkAAKxCHYeX2GahuD5PCHH5m6rW494WQpgGLbFzZZAX\nwQ4AAJu6MqtUPWj1ka99K4F8eBULAIB9mBMe0FAIdgAA2I06FI9ZF2govIoFAMBRqPEurcxb\nCPFcgsne5cD50GMHAIAjUrvx6MmDRQh2AAA4NLIdtONVLAAAju7Wyik+ehGQKoQQ1+ellXk/\nl2BSsgwiINU0aImSZWATWwiCHQAAclCyDAzOA8EOAACpKDnJ5duLhRCeTwSyGHJjQ7ADAEBa\nv+5+YXZ9Hi9tJcbkCQAAGh12s5UVwQ4AgMZLyUlmAwyZ8CoWAIDGTslJrtXC4DwnRbADAAC1\nqVEv7dJS9TSxzUKinlPgVSwAAIAkCHYAAOD+1KF47HLm4Ah2AADAYsyrdUwEOwAAUE/pGYq6\nVB4cBJMnAADAA2E3M8dBjx0AAIAkCHYAAACS4FUsAABoGOZ3sok+enaktQuCHQAAaHjmObMk\nPFviVSwAALAips3aEsEOAABYXXqGwrp3NsCrWAAAYDtKTnLapaWJPnohRFqZ99BDN4QQrT7y\ntXddkqDHDgAA2JmSk8xaxw2CYAcAABwFr2sfEMEOAAA4ECUnWclJtncVzopgBwAAIAkmTwAA\nAIejZBlEQKoQIu3SUrag1Y4eOwAA4NDUgXe8n9WCYAcAAJyDOm32yqxS5s/eC69iAQCA81Gz\nHZvS1uI0wc5kMgkhdDqdEO7/d2CBB7vxtgNr33j7Ezzre6NzfFnzd7TTj7feN9a75gf9st71\nvdGi36XbS7X0xtsOLNVAvxK2qPlBPtG7vjfWOrCUnf6Omw/q/Uto6Sfa8be3Pk9wor+qjvA/\n2uZ/x5mZV0i5NrC8fg93IpWVldXV1XVc4DTBTlEUIURQUNAVUaoeWHT7g9xY68DaN97+hPos\n5+NEX9b8He304633jfWu+UG/bEV9b7Tod+n2Ui298bYDSzXQr4Qtan6QT6yo7421Dixlp7/j\n5oN6/xJa+ol2/O2tzxOc6K+qI/yPtvnfcXdqst9TCCF3B15lZaWLS13j6BhjBwAA5NHIh985\nTY8dAACAFldmlQohsn/j1wjXSaHHDgAAQBIEOwAAICd16TslJ1ntw2sMCHYAAKBRSM9QpB+B\nR7ADAACNiJKTLPEmFgQ7AAAASRDsAAAAJEGwAwAAjY55vwrJsI4dAABojMwTKWRa7o4eOwAA\nAEkQ7AAAACRBsAMAAJAEwQ4AAEASBDsAAABJEOwAAECjpm41Jsd2FAQ7AAAAIaTYTJZgBwAA\n8CunXruYYAcAAHAb5+23I9gBAABIgmAHAAAgCYIdAADAXTjjPFmCHQAAwN1dmVVq7xIsQ7AD\nAACQBMEOAABAEgQ7AAAASRDsAAAAJEGwAwAAkATBDgAAQBIEOwAAAEkQ7AAAAOriRCsVE+wA\nAAAkQbADAAC4j/QMxd4laEKwAwAAuL/0DCU9Q3Hw17IEOwAAAAtcmVXqsHvIEuwAAAAs5pgv\nZwl2AAAAkiDYAQAASIJgBwAAIAmCHQAAgCQIdgAAAPWh5CQ72uonBDsAAABJEOwAAAAkQbAD\nAACQBMEOAABAEgQ7AAAASRDsAAAAJEGwAwAAkATBDgAAQBIEOwAAAEkQ7AAAACRBsAMAAJAE\nwQ4AAKD+0jMUe5fwK4IdAADAA7kyq/TKrFJ7VyEEwQ4AAEAaBDsAAABJEOwAAAAagCMMtiPY\nAQAANAy7ZzuCHQAAgCQIdgAAAJIg2AEAAEiCYAcAACAJgh0AAEBDUrIM9vpogh0AAIAkCHYA\nAAANTMlJtsvnEuwAAAAkQbADAACQBMEOAABAEgQ7AAAASRDsAAAAJEGwAwAAkATBDgAAQBIE\nOwAAAEkQ7AAAACRBsAMAAJAEwQ4AAEASBDsAAABJEOwAAAAkQbADAACQBMEOAABAEgQ7AAAA\nSRDsAAAAJEGwAwAAkATBDgAAQBIEOwAAAEkQ7AAAAKxCyTLY+BMJdgAAAJIg2AEAAFiLjTvt\nCHYAAABWVDF3dsXc2bb5LIIdAACAJAh2AAAAknCz78ebTKaMjIy9e/dWV1cPGDBg0qRJrq6u\n9i0JAACgwSk5yWmXlgohnkswWe9T7BzsNm3atG3btlmzZrm5uX300UdCiClTpti3JAAAACdl\nz1exVVVV27ZtmzhxYmxsbFRU1NSpU3ft2lVeXm7HkgAAAJyXPYPdhQsXdDpdnz591NPIyEi9\nXl9QUGDHkgAAAJyXPV/FXrt2TVGUJk2aqKe+vr4eHh46nc58waVLl65fv64el5WVCSGMRqN6\naj7QyIluvPMJ9b7R8b8sP15utPtHN4Yb7fjRjeFGO350Y7jRjh9tvRuVLIMISBVCiOvzKke6\n1+/h92LPYHfjxg0PDw8Xl197Db28vEpKSsynK1eu3LFjh3ocEBDQVLQoLi4WwlMIUVxcbNFn\nPdiNtx1Y+8bbn+BT3xud48uav6Odfrz1vrHeNT/ol/Wr740W/S7dXqqluZE8YQAAIABJREFU\nN952YKkG+pWwRc0P8ol+9b2x1oGl7PR33HxQ719CSz/Rjr+99XmCE/1VdYT/0Tb/O87aH91A\nP6X7/HPZuOlWsHvm+Es3XktufupDcX3e1f5lzf/hI4RQ81/apaWJbRYKIcT1eZeii6urq+t4\noGIyWXFqRt2OHj26ZMmSLVu2KIqitjzzzDMvvfTSwIED1dOsrKzvv/9ePXZxcTl+/PiaNWvs\nUysAAIC9VVZWTpo06auvvrrXBfbssQsKCjKZTMXFxUFBQUIIg8FQUVGhHqtGjRo1atQo9Vin\n082aNcvX19c+tQIAANhbZWWluTvsruw5eSI4ODggICA3N1c9PXbsmJeXV3h4uB1LAgAAcF72\n7LFzdXUdMWJEenp627ZtXVxc1q1bFxcX5+lpwYtzAAAAmNl5geL4+Hij0fjOO+9UV1f3799/\n8uTJ9q0HAADAedk52CmKkpiYmJiYaN8yAAAAJGDPMXYAAABoQAQ7AAAASRDsAAAAJEGwAwAA\nkATBDgAAQBIEOwAAAEkQ7AAAACRBsAMAAJAEwQ4AAEASBDsAAABJEOwAAAAkQbADAACQBMEO\nAABAEgQ7AAAASRDsAAAAJEGwAwAAkATBDgAAQBIEOwAAAEkQ7AAAACRBsAMAAJAEwQ4AAEAS\nbvYuwALV1dUlJSX2rgIAAMA+jEZj3Rc4TbAzmf7/9u48rok7/x/4Z3IYSEgCAkK1ioJiPR+g\nQZEqlxfQgqCsLtX1rFYFLaKuqKAWbdF622p9WLVWv1Zdiwde9QAXPMGtB9Zrxaq7UhURgYRA\nSML8/vjsbx5pkIgaBcbX89E/Zj7XfOY9EN6dz2RkDQbD6NGjBQIB3WUYhmEYo9HIMIxAIKiu\nrmZZVigUVldXE0IEAoHRaBQIBAzD0Crasbq6mrZnWZYWcu1NO3JjEkIYhuE60m2uo+U5cI1N\ntxmGoSVmB6Jjco1Ne3EHMu1ICBEKhfQsTNvTXXosOiadIde+urraNEp0cNP2CC/C26DCy02s\nLuHlhrJ8Xd6R8FZXV5t1tBDemj+E3FQbRXjN5vxS4TW9Lma9TAsR3nc2vNwMTcNb80P7rYXX\n1dWV1K4xJXZ37951cXF5/PgxIcTV1fXRo0eEEGdn5ydPnhBC7O3tdTpdRUWFra2tRCIpKSkx\nreXacyNwVQ4ODhUVFZWVlVKpVCwWl5aWMgzj5OREa2sesVmzZoWFhbRjeXl5VVWVTCYTiUSl\npaUCgaBp06ZFRUWWOzo6OpaVlen1erlcTghRq9UikUipVD59+vSFHUtLSw0Gg0KhYFlWrVY3\nadLEzs6uuLjYtFnNk3VyciouLq6urlYoFEajsby8XCKRyGQy2rFmlLgNJycnejqvHF6uo2l4\nHR0dXxglLrxcx5cNr52dHcMwrxNesVgsl8tfM7yWO1oxvE2aNCkpKaljeJs2bVpeXq7T6V42\nvE2bNlWr1XUPL1fChZf7sX/l8D73x55rb9rx6dOnLMs+N7w1j2jhU+W54a3Z8bnhFYlEZWVl\n9RJehUJBO9YlvEql0mAw1D28zs7ORUVFpuG1sbGxtbV99uzZK4fX8sdRzfDKZDKhUFhWVvbc\nH3tuw7SjRqOpqqqq3/DKZDKzKFkIr1Kp1Ov1Wq3WNLwWovTcv4k2NjZmHevy4cD9aXvuj31d\nwisUCh0cHGr7sX9r4bXckQuvjY3NC38ILYeX+0i3/KdNq9W+Znj1ej2pHZ6xAwAAAOAJJHYA\nAAAAPIHEDgAAAIAnGs0zdjKZbM6cORqNRiQSMQxDF5htbGwqKyuNRqNSqVSr1YQQuVyuVqsZ\nhpHJZKWlpSKRyNbWtrKykhAiFAoJIQaDgWEYiUSi0+no01Tl5eX08R36oIZcLi8pKRGLxRKJ\npKKigmEYsVjMsizt2KRJE51OV11dLZfLTTsKBAI7O7uysjKhUGhjY6PVamnH6upq+iSmWCym\nHe3s7LRardmc6aFlMll5eTltbDAY6KOjIpGoqqqKZVmZTKbVaukR1Wo1y7LcnGUymUajEQqF\nTZo0oY2FQqFAINDr9SzLSqXSioqKmh0FAoFMJlOr1QKBQCKR0I51Dy89WbPw0idSzcLLsix3\njjS8IpGIDk4Ief3w0o5VVVVGo9E0vNwRTcNLG7+h8Go0GtM5v1R46RHNwmtjY6PT6WqGl3Zs\nFOHV6/XV1dVm4TX7sddoNDRKtPELw1taWioUCl8zvCKRiP6g1iW83JxpeG1tbSsqKuoYXi5K\nXHhpZEzDa9qx4YeXZVn6i28WXu7H3jS8tKNZeA0Gg1KpfP3wch3pp309hpd2pE/HvzC89Dfu\nDYVXp9Pp9fpXCy/3Y8+dLMMwdnZ2NcNb23UxCy892bqEt7a/iVYJL/0df2F46cmahZd2rBle\njUbD/U18qfBqNBrTjyMaXvrHtO7htfzlif99zwIAAAAAGjssxQIAAADwBBI7AAAAAJ5AYgcA\nAADAE0jsAICfdDrd6tWre/bs6eTkJJfLO3XqNHfu3NLS0rc/kz59+vTq1evtHxcA3kH48gQA\n8JDBYAgKCjp9+nS/fv0+/PBDlmV//fXXw4cPe3h45OTkNG3a9G1Opk+fPgaD4dy5c2/zoADw\nbmo0rzsBAKi7jRs3nj59euXKlfHx8Vzh3r17Bw8ePHfu3O+++64e5wYA8OZgKRYAeOjs2bOE\nkE8//dS0MCoqqmPHjr/88stLDWUwGOhbrOrYGMsgAFCPkNgBAA/R7CovL8+s/OjRo8ePH+d2\nDx8+HBgY6OLiolAovL29v//+e64qNDQ0MjJy0aJFSqVSIpGoVKr9+/fr9fqEhIR27doplcqP\nPvrov//9LyGEvgh3w4YNU6ZMkUqlUqnUz89v69attc3t3r17MTExbdq0USqV/v7+hw4dsvLJ\nA8A7DM/YAQAPHThwICIiQiaTTZgwISoqytfXVywWm7X58ccfR48e3aNHj8jISJZl9+/fn5ub\nu2vXrqFDhxJCQkNDz5w5IxKJpk+frlAolixZ8uTJk65du8pkspiYmIsXL27YsCEiImL//v1G\no1EkErVo0eLp06cjR45s1qzZ3r17r127lpqampiYSP78jN3Vq1f79Okjl8tHjBhha2u7Z8+e\nvLy89evXT5gw4e1HCQB4iAUA4KPNmze3bNmSftDZ2dmFhYWtWbOmuLiYazBgwAClUsmV6HQ6\nhUIxfvx4uhsSEsIwTE5ODt1dt24dIaR79+5Go5GWtG/fvlmzZizLGgwGepSMjAxapdVqe/Xq\nZWdnV1hYyLJs7969fX19aVVwcLCbm9uzZ8/orl6vDwwMpP9O1BuNBgC8I7AUCwD8NGbMmHv3\n7uXm5qampvr6+mZmZk6dOtXNze3gwYO0QVpaWkFBgYODA90tLi42GAz033mk3N3de/ToQbf9\n/f0JIcOGDRMI/vexGRQUpNVqucb+/v7BwcF029bWNjk5WaPRHDt2zHRKJSUlmZmZ48ePt7e3\npyUikeizzz4rLy8/f/681SMAAO8gJHYAwFsCgcDHxycxMfH48eOFhYVr1qwxGAzDhw9/+vQp\nIcTOzu769evz5s0bNmyYSqVq06aNaaJGCJHL5dw2/afWTd+TQks4Xbt2Nd319vYmhNy5c8e0\n8ObNm4SQpKQkxkRMTAwhpKioyEonDQDvNLzuBAD4pqysbNy4cZGRkcOHD+cK5XL5lClTSktL\nk5OTz549Gx4evmjRonnz5nXr1i04OHjAgAHdunWLioqy1hxo2ldVVWVaKJFICCFJSUn9+vUz\na9++fXtrHRoA3mVI7ACAb+Ry+YEDB8rLy00TO66KEOLg4KBWq1NSUiZMmLB+/Xqutu6vNanp\n6tWrpruXL18mhHh6epoWenh4EEJEIlFAQABXeP369UuXLqlUqlc+NAAAB0uxAMA3DMNER0cf\nOXLE7EXEz549W7dunYODg4+Pz/379/V6fbNmzbja06dPFxQUvPJBs7KysrKy6LZOp1u4cKGN\njU3fvn1N2ygUiv79+69fv/7333+nJVqtNjw8fPbs2VKp9JUPDQDAwR07AOChFStWPHjwYPLk\nyZs2bfL29nZycnr48GF6enpJScnBgwclEkn79u1bt279zTffVFVVeXp65ubmpqWlubi4nDt3\nLiMjwywhq4sWLVqEhoaOHTvW2dl57969V65cSUlJadGihVmzr7/+2t/f/8MPP4yJibGxsUlL\nS7t79+7OnTsZhrHSqQPAOw2JHQDwULNmzTIyMlasWJGVlXX06NHi4uJWrVqFh4dPnz6dfstB\nLBYfPnw4ISFh/fr1CoWid+/ely5dOnny5IwZM5YuXfoKid2YMWPc3d2//fbb27dvd+jQYfPm\nzWPGjKnZzMvL6+LFi7Nmzdq9e7dare7atevq1atDQkKscM4AAHhBMQDAa6IvKE5KSlq4cGF9\nzwUA3nV4xg4AAACAJ5DYAQAAAPAEEjsAgNfCMExcXFzPnj3reyIAAHjGDgAAAIAvcMcOAAAA\ngCeQ2AEAAADwBBI7AAAAAJ5AYgcAAADAE0jsAAAAAHgCiR0AAAAATyCxAwAAAOAJJHYAAAAA\nPIHEDgAAAIAnkNgBAAAA8AQSOwAAAACeQGIHAAAAwBNI7AAAAAB4AokdAAAAAE8gsQMAAADg\nCSR2AAAAADyBxA4AAACAJ5DYAQAAAPAEEjsAAAAAnkBiBwAAAMATSOwAAAAAeAKJHQAAAABP\nILEDAAAA4AkkdgAAAAA8gcQOAAAAgCeQ2AEAAADwBBI7AAAAAJ5AYgcAAADAE0jsAAAAAHhC\nVN8TAIAGTTdrqhVHkyxZY8XR4IWY/RVWHI0dZGvF0QDgTcAdOwAAAACeQGIHAAAAwBNI7AAA\nAAB4AokdAAAAAE8gsQMAAADgCSR2AAAAADyBxA4AGpaoqCimhtDQULNmOTk5DMO8cDSdTscw\nzJUrV2pWyeXyjIwMq8zZwlHeKXW8ds/1UjF85YAbjUaGYXJycnDJgK/wHjsAaHCCgoJSU1NN\nS5RK5asNJRQKZ8yY4ezsbI151fNRGoVXvnYvFcPXDzguGfAVEjsAaHAcHR179uz5+uNotVqp\nVLp06dLXH8oykUj0Fo7SKLzytXupGL5+wHHJgK+wFAsAjVh2drZKpVIqlQEBAdyyGl1rGzhw\nYExMjOmKW35+fkhIiL29vbe3d3p6OjdIUVHRkCFDmjZtqlKp9uzZwzBMeXk5IaSsrGzixIlu\nbm5KpTI8PPzBgwe0/YEDB7y9vaVSaZs2bVatWkX+vDKYn58fGRnp4uKiUCgCAwO5WYnF4n37\n9nXu3FkqlbZt2zYtLY2W19aexwYNGvSXv/yF2127dq2zs7NGo+FiKBaL161b17JlS5lMFhwc\nXFBQEB8f7+rq2qxZszVr1pA/B/zVAms6Qs0LCtB4IbEDgAanuLj41z97+PDhc1uOHTt29uzZ\nBw8etLOzCwgIePr0KS2fNm3ayJEj165dy7XUarUBAQFGozE9PT05OTkuLk6r1dKqjz/+uKKi\n4siRIzNnzpwwYQLXJSoq6tatW9u2bTtx4oRCoRg4cGBJScl//vOf6OjokJCQ7OzsyZMnT5s2\n7dy5c6ZTioiIKCsr27Fjx/79+1mWHT9+PFcVFxe3YMGCCxcu+Pj4jBgxorKy0nL7xqgu127Y\nsGFHjhyhp08I2b179yeffCIWi03bLF++fMeOHYcPH75161a7du0UCkVWVtagQYMSEhJKSkrM\nBnydwL7wggI0LliKBYAGJzMzU6VSmZYsWLBg/vz5NVsuX7580KBBhBCVStW6destW7ZMnz6d\nEBIeHj58+HBCiE6noy1/+umnioqKtLQ0hUJBCBEKhZGRkYSQU6dOXb58uaCggK4h3r9/f9as\nWYSQnJycU6dOFRYW2tvbE0K2bt3aokWLtLS01q1b6/X6Tz/91MPDQ6VSdezYsXnz5tx8WJYd\nN27c4MGD27RpQwh58OBBQkICVxsbGxsdHU0I+eKLL3bu3FlQUODu7m6hfWNUl2sXHh5uNBqP\nHTsWERHx6NGjU6dOrVixwmycL774onfv3oSQqKiojIyMlJQUQsjcuXM3btxYUFDQtm1b08av\nE9jbt29buKAAjQ4SOwBocKKjo3fv3l2XloGBgXTD1tbWz8/vxo0bdLdbt25mLa9du9ajRw+a\n1RFC+vXrRzfy8vI8PDwcHR3pLvd82I0bN/R6venD9QaD4Y8//vjkk098fX07deoUGhoaHBwc\nGRnZsmVLLn1kGCY2NjY9PX3Tpk03b97MzMwUCoXcCN27d6cb3OEst2+M6nLt5HJ5WFjY3r17\nIyIi0tLSOnTo0K1bNy6GVMuWLemGg4ODm5sbt/3cAV8nsH5+fjUvaN3OFaAhwlIsAPCEUChs\n0qQJ3bazs6tZa7orkUhoiV6vN31tikDwv09FpVLp6uqqN8GybHJysq2t7ZkzZ06cONG5c+cf\nfvihbdu2+/bt47prNJpevXotXbpUqVSOHj165cqVZgc1m5Xl9jw2dOjQAwcOGAyGf/zjH6NG\njbLc+IXvtXmdwFq+oACNDhI7AGjEsrKy6EZlZeWZM2e6dOlSW8sOHTrk5uaq1Wq6e/bsWaPR\nSAjp2LFjfn5+cXExLc/NzaUbnTp1evz4MXcLsKCgwNfXNy8vLzMzc/Hixb179164cOHFixdD\nQ0O3bt3KHeXkyZPXr18/duzYzJkzP/74Y5HoBasiL9ueN+hzjbt27Tp37hxdNLeuugfW8gUF\naHTelQ8RAGhE6AP4ZoV0uW3Lli0VFRWTJk2ihbGxsYQQZ2dn+u60kSNH1jZmTExMcnJydHT0\n/PnzS0pKpk2bJpVKCSH9+/fv0qXL6NGjFyxYcO/eve+++44QwjCMp6dnVFRUZGTk6tWrmzRp\nkpKSotFoOnXqlJ2dnZSUJJfLg4KCrl+/np2dPWPGDO4ojo6OVVVVe/bsGTBgwIULF+bOnavV\naouKipycnJ47q5dt3/DV8drJZLKPPvooPj4+ODj4TTzTVltgay7mMgxj4YICNDq4YwcADQ59\nAN+Ur68vrdq+ffvmzZvpdvPmzWfNmpWYmBgSElJZWXnq1CmZTFbbmFKpNDs7mxASFhaWmJi4\nePFid3d3QgjDMAcOHCCEBAcHr1279quvvhIIBLa2toSQbdu29e3bd/z48UOGDHFwcDh06JBQ\nKAwKClqxYsXKlSu7d+8+c+bMiRMn/v3vf+eO4ufn9+WXXyYlJXl5ee3YsePo0aNubm5hYWG1\nzepl2zd8dbx2hJBhw4YVFRVZyMVfR90Da/mCAjQ6DMuy9T0HAGi4dLOmWnE0yZI1VhzNKoqK\nitLS0v72t7/RG3g//vjjokWLbt++Xd/zsg5mf4UVR2MH2VpxNAB4E7AUCwDvNJlMNmfOnNu3\nb8+cObOwsHDJkiVjxoyp70kBALwiLMUCwDvN1tb2wIEDp0+fdnd3j4yMjIiIoG/CAwBojHDH\nDgDedX5+fufPn6/vWQAAWAHu2AEAAADwBBI7AAAAAJ5AYgcAAADAE0jsAAAAAHgC77EDAAAA\n4AncsQMAAADgCbzuBAAs+b+fGCuONuITLBG8VY/iNFYczfVbOyuOBgBvAu7YAQAAAPAEEjsA\nAAAAnkBiBwAAAMATSOwAAAAAeAKJHQAAAABPILEDAAAA4AkkdgDWpNPpVq9e3bNnTycnJ7lc\n3qlTp7lz55aWlr7p4/r4+PTv3/9NHwUAABo4JHYAVmMwGPr16xcfH69QKOLi4hISEtq0aZOa\nmqpSqYqLi9/ooe3s7GQy2Rs9xFsTFRXF1BAaGvrCjnK5PCMjo7Zao9HIMExOTo5VJ1ufB2qY\n9Hr9okWLevfurVQqP/jgg5iYmGvXrnG1T5480Wj+92o9sVh85syZepomAG/hBcUAVrNx48bT\np0+vXLkyPj6eK9y7d+/gwYPnzp373XffvblDnzx58s0N/vYFBQWlpqaaliiVyvqaDNRdUVFR\n//79Hz58mJCQMG/evD/++GP37t3du3ffuHHjiBEjCCGDBw+OjIycPn16fc8UgLeQ2AFYzdmz\nZwkhn376qWlhVFRUx44df/nlF7PGBoNBKBQyjDX/XQfecHR07Nmz51s4kFarlUqlb+FA74hZ\ns2aVlpZeuXLFxcWFlowePXr27NmTJ0/u27fve++9Z5Wj4KoBWIClWACrYVmWEJKXl2dWfvTo\n0ePHj5P/v0i3YcOGKVOmSKVSqVTq5+e3detW08b37t2LiYlp06aNUqn09/c/dOiQae358+dD\nQkKcnJw8PT3HjRv39OlTWt6rVy/TZ+wsDKJWq2fPnt2uXTupVOrh4TFz5szy8nKrhuHtyc/P\nDwkJsbe39/b2Tk9PNy2PjIx0cXFRKBSBgYFXrlwx60iXSgcOHBgTE5OQkBAUFMRVLVq0qGPH\njoQQsVi8bt26li1bymSy4ODggoKC+Ph4V1fXZs2arVmzhhCSk5Pj7Oy8cePG5s2bKxSKvn37\n3rhxw+xAZWVlEydOdHNzUyqV4eHhDx48sDxDsVi8b9++zp07S6XStm3bpqWl1fGMGoKCgoIf\nfvjhq6++4rI6asGCBfb29qtXr/bx8Tl9+vSMGTO4hfVHjx599NFH9vb2Hh4eu3fvpoW1Bc30\nqr3N8wJoXJDYAVjN0KFDCSEDBgxISEg4deqUXq+n5e+//37btm25ZikpKRs3bhwzZsyMGTPK\nyspGjRq1ePFiWnX16lUvL6/Tp0//9a9/nT59ellZWXh4+IYNG2jtoUOH/P39Hzx4EBcXFxER\n8fPPP6tUqmfPnplNw/IgI0aMWLZsmZeX15w5czp27Lhs2bKpU6e+0bC8guLi4l//7OHDh2Zt\ntFptQECA0WhMT09PTk6Oi4vTarW0KiIioqysbMeOHfv372dZdvz48TUPMW3atJEjR65duzY6\nOvrUqVNFRUW0fNeuXXTRkBCyfPnyHTt2HD58+NatW+3atVMoFFlZWYMGDUpISCgpKaHznDdv\n3po1aw4dOmRra+vv719WVmZ6lKioqFu3bm3btu3EiRMKhWLgwIG0o4UZxsXFLViw4MKFCz4+\nPiNGjKisrKzjGdW7vLw8lmVrfolHIpH06dMnLy/vwoULvXv3XrZs2ZEjR2jV559/Pnbs2HPn\nzgUFBY0aNaqqqorUHjRictXe5nkBNDIsAFjP5s2bW7ZsSX+57OzswsLC1qxZU1xcTGsNBgOt\nysjIoCVarbZXr152dnaFhYUsywYHB7u5uT179ozW6vX6wMBAmUxWVlam1+s9PT27dOmi0Who\n7Y8//kgIWbVqFcuyvr6+/fr1o+UWBikpKWEYJj4+nptwSEhIly5dLJzRtu3Eiv/VJYaRkZE1\nP6kWLFhg1uz77793cHAoLS2lu/v27SOEnDhxorq6etmyZb///jst37p1q5OTExf88+fPsyxL\nCPnqq69og+rq6ubNm2/atIll2d9++41hmLt377IsKxKJtm3bRtvExsZ+8MEHdPvu3buEkN9+\n++38+fOEkJ9//pm7lPRmHneg8+fPi8Vi7kIYDAYXF5eNGzfWNkN6UG5it27dIoTk5+dbaP9C\nD2PVVvzP8rHWrVsnlUqfWzV79uz27duzLEsTu5onS6N679692oLG/vmqAUBtcMcOwJrGjBlz\n79693Nzc1NRUX1/fzMzMqVOnurm5HTx4kGvj7+8fHBxMt21tbZOTkzUazbFjx0pKSjIzM8eP\nH29vb09rRSLRZ599Vl5efv78+UuXLv373/+eOnUq9+3XTz75ZO3atV5eXqYTsDyISCQSCAQZ\nGRnc8taRI0dqrh3Xu+joaLOPqvnz55u1uXbtWo8ePRQKBd3t168f3WAYJjY29sKFC0lJSdHR\n0Z9//vlzD9GtWzeu/ZAhQ/bs2UMI2blzp5+fX+vWrWkVl6M7ODi4ublx26bjBAYG0g1bW1s/\nP7/r169zVTdu3NDr9c7OzmKxWCwW29jYPH78+I8//rA8w+7du9MNR0fHlzqjete6dWutVvvc\nL4A/ePCgXbt2Nct9fHzohq2tLd2oLWi0lrtqAFAbJHYAViYQCHx8fBITE48fP15YWEhv4Qwf\nPpx7Hq5r166m7b29vQkhd+7cuXnzJiEkKSnJ9DUf9HGioqKi27dvE0I6d+7MdRSJRJMnTw4I\nCDAdzfIgMpls2bJlt27datWqlbe399SpU0+cOMGy7BsNyBsiFApNdyUSCS3RaDS9evVaunSp\nUqkcPXr0ypUrn9vdzs6O246Ojj5x4oRard65c+fw4cOf274uX3MRCoXcTVlCiFKpdHV11Ztg\nWZbm8RZmKJFIzIat4xnVu86dOzMMc+LECbPyqqqq7OxslUpVswuXz3FqCxqtNb1qAPBc+FYs\ngHWUlZWNGzcuMjLSNDOQy+VTpkwpLS1NTk4+e/ZsWFhYzY4ikYgQUlVVRf+iJyUlcTefOO3b\nt6ffq6WNLbA8CCEkPj5+6NCh+/fvP3HixPbt27/55pu+ffseOXJELBa/7CnXrw4dOmzevFmt\nVsvlckLI2bNnjUYjIeTkyZPXr19/9OgRvbW2ffv2Fw7Vu3dve3v7lJSU+/fv0wcl6y4rK2vw\n4MGEkMrKyrNnz86cOZOr6tSp0+PHj2/cuNGhQwdCSEFBwZAhQzZs2HD//v2XmuErnFG9aNmy\n5ahRo2bPnh0UFOTs7MyVp6SkqNXqcePG1WWQ2oJm9r9DAFAbJHYA1iGXyw8cOFBeXl7zlg/N\nPLglvKtXr5rWXr58mRDi6enp4eFBCBGJRKY34a5fv37p0iWVSkVXsm7evGl65yM+Pr59+/aT\nJk3iSiwP8vTp03v37nl6ek6aNGnSpEk6nS4xMXHVqlWHDx8eNGiQdQJhDfTLE2aFdI1yy5Yt\nFRUVkyZNiomJSU5Ojo6Onj9/fklJybRp0+grMBwdHauqqvbs2TNgwIALFy7MnTtXq9UWFRWZ\nLaGaEggEUVFRK1euDAsL4xZA6yg+Pl4oFLq4uCxevFin040ZM4aqfpQxAAAIWklEQVSr8vT0\njIqKioyMXL16dZMmTVJSUjQaTadOnTQazXNn6OTk9NxD1HZGtbWvR19//XW/fv26du06Y8YM\nb2/vR48e7dq16+DBg3v37n3//fcJIQKB4O7duyUlJdyjAmZqC9rbPQ+ARgxLsQDWwTBMdHT0\nkSNHzF5E/OzZs3Xr1jk4OHCPE2VlZWVlZdFtnU63cOFCGxubvn37KhSK/v37r1+//vfff6e1\nWq02PDx89uzZUqm0W7duLVq0WLVqlU6no7VnzpxZvXo19x5/yvIgV69eValU9FsXhBCJROLv\n70/qcCPwLcvMzFT9ma+vL63avn375s2bCSFSqTQ7O5sQEhYWlpiYuHjxYnd3d0KIn5/fl19+\nmZSU5OXltWPHjqNHj7q5uT33Xqmp6Ohoo9FY2zqsBevXr583b96AAQNKS0uzs7PN8pVt27b1\n7dt3/PjxQ4YMcXBwOHTokFAofNkZvtoZ1QtnZ+cLFy5MmjRpz549kZGRc+bMEYlEFy9ejIiI\noA1Gjhy5c+dOy3fvnhu0tzJ9AD5gGunjNQANUGFh4dChQ7Oysrp37+7t7e3k5PTw4cP09PSS\nkpKDBw+GhYUZjUaRSNSiRYvi4uKxY8c6Ozvv3bv3ypUrKSkp9Cmiy5cv+/v7y2SymJgYGxub\ntLS027dv79y5k64P0ifAunbtGh0dXV5evn79erlcnpeXp1Qq6Vdr6dvyLAxSUVHh5eV17969\n0aNHe3p65uXl7d+/39XV9V//+ldtTy/930/WfIXyiE8a6AdOenr6iBEjHj9+XPOpr9rk5OT4\n+vrSF02/0bm9jkdxmhc3qjPXb/GIG0BDh8QOwJqMRuOKFSuysrLy8vKKi4tbtWrl4+Mzffp0\n+oQQTeySkpLc3d2//fbb27dvd+jQYeLEiabrd/n5+bNmzcrNzVWr1V27dp0zZ05ISAhXm5mZ\nuWjRokuXLslksoCAgNTU1FatWhFCTBM7y4PcvXs3OTk5KyvryZMnLVq0GDhwYFJSUvPmzWs7\nI94ndkajsby8PDw83N3d/Ycffqh7RyR2ANAAIbEDeHu4xG7hwoX1PZe64n1iR/OzFi1a/POf\n/zR9j/QLXb58OSoqKj8/H4kdADQcDevBGgCAt8zHx+fWrVseHh4vm595eXnR1+oCADQcSOw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      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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SkpKvrHrGFZWVl9fX37ZnNz85o1a9o3S0tLO38yedajiglDHMe9dFSnDr1s8zv5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\nADAEAjsAAAAAhkBgBwAAAMAQ/wcnhF9IX7DkSQAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "mfq.sum %>%\n",
    "filter(Section %in% c(\"Adnataria\", \"Eucalyptus\", \"Maidenaria\")) %>%\n",
    "group_by(Section) %>%\n",
    "group_walk(plotby)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "7f865c5b-cde6-4e54-8484-7098e0aa8f06",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[1m\u001b[22m`stat_bin()` using `bins = 30`. Pick better value with `binwidth`.\n",
      "\u001b[1m\u001b[22m`stat_bin()` using `bins = 30`. Pick better value with `binwidth`.\n",
      "\u001b[1m\u001b[22m`stat_bin()` using `bins = 30`. Pick better value with `binwidth`.\n"
     ]
    },
    {
     "data": {
      "image/png": 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dv397///fvvv+/QocOTTz7ZunVrIYTZ\nbF6/fv2ePXuqq6sHDhw4adIkV1dXu0UCAACQiZ1m7HJycv7nf/7ngQce+OMf/1hVVTV//nyz\n2SyE2LBhw7Zt26ZOnfrkk0/u3bv3ww8/tE8eAAAA+dip2H388ccTJkyIi4vr2bPnM88806xZ\ns59++qmqqmrbtm0TJ06MiYmJjo6eOnXqzp07y8vL7RMJAABAMvYodj/88MMPP/wwYMAA9WWL\nFi1ef/31li1bnj9/3mAw9O7dWx2PiooqLS09c+aMHSIBAADIxx732F2+fFlRlG+//fb111//\n+eefIyIikpKS2rZtq443bdpUPc3X19fDw8NgMFi+8fDhwz/88IN6bDKZqqurmc8DAACNVmVl\npXozW23sUeyuXLkihFi7du3kyZMDAgI2bdr0yiuv/O1vf7t69aqHh4eLyy+zhl5eXsXFxZaX\nW7du3bFjh3ocEBAQHBxcUlJih8AAAAAOyCGKnaenp9lsnjlzZufOnYUQzz///MSJEw8dOuTn\n51dRUWE2mxVFUc8sKyvz8fGxfOOoUaOioqLUY5PJtHnzZl9fXzsEBgAAcECVlZWW1nRb9ih2\nAQEBQoiQkBD1paenZ/PmzYuKitq2bWs2m41GY1BQkBCirKysoqJCPVZFR0dHR0erxwaDYevW\nrZ6ennYIDAAA4IBcXV2tFzt7LJ5o166dt7f3yZMn1ZfXrl376aef2rRpExISEhAQkJeXp44f\nOXLEy8srIiLCDpEAAADkY48ZOw8Pj6FDh77zzjvTp0/38/Nbt25dixYtoqOjXV1dhw8fvnbt\n2jZt2ri4uKxevTouLo45OQAAgDtjpydPTJo0SVGU5cuXl5aW9ujR49lnn1WfMBEfH28ymRYv\nXlxdXT1gwIApU6bYJw8AAIB87FTsFEWZNGnSpEmTbh1PSEhISEiwTwwAAACJ2enJEw3j++K6\nzwEAAGisnKrYAQAAoHYUOwAAAElQ7AAAACRBsQMAAJAExQ4AAEASFDsAAABJUOwAAAAkQbED\nAACQBMUOAABAEhQ7AAAASVDsAAAAJEGxAwAAkATFDgAAQBIUOwAAAElQ7AAAACRBsQMAAJAE\nxQ4AAEASFDsAAABJUOwAAAAkQbEDAACQBMUOAABAEhQ7AAAASVDsAAAAJEGxAwAAkATFDgAA\nQBIUOwAAAElQ7AAAACRBsQMAAJAExQ4AAEASFDsAAABJUOwAAAAkQbEDAACQBMUOAABAEhQ7\nAAAASVDsAAAAJEGxAwAAkATFDgAAQBIUOwAAAElQ7AAAACRBsQMAAJAExQ4AAEASFDsAAABJ\nUOwAAAAkQbEDAACQBMUOAABAEhQ7AAAASVDsAAAAJEGxAwAAkATFDgAAQBIUOwAAAElQ7AAA\nACRBsQMAAJAExQ4AAEASFDsAAABJUOwAAAAkQbEDAACQBMUOAABAEhQ7AAAASVDsAAAAJEGx\nAwAAkATFDgAAQBIUOwAAAElQ7AAAACRBsQMAAJAExQ4AAEASFDsAAABJUOwAAAAkQbEDAACQ\nBMUOAABAEhQ7AAAASVDsAAAAJEGxAwAAkATFDgAAQBIUOwAAAElQ7AAAACRBsQMAAJAExQ4A\nAEASFDsAAABJUOwAAAAkQbEDAACQBMUOAABAEhQ7AAAASVDsAAAAJEGxAwAAkATFDgAAQBIU\nOwAAAElQ7AAAACRBsQMAAJAExQ4AAEASFDsAAABJuOkdQCuz2SyEuHLlit5BAAAA9FFZWVld\nXW3lBKcpdoqiCCF8fX31DgIAAKCPyspKFxdrl1udptipXF1d9Y4AAACgD+vTdYJ77AAAAKRB\nsQMAAJAExQ4AAEASFDsAAABJUOwAAAAkQbEDAACQBMUOAABAEhQ7AAAASVDsAAAAJEGxAwAA\nkATFDgAAQBIUOwAAAElQ7AAAACRBsQMAAJAExQ4AAEASFDsAAABJUOwAAAAkQbEDAACQBMUO\nAABAEhQ7AAAASVDsAAAAJEGxAwAAkATFDgAAQBIUOwAAAEk4W7FL3K53AgAAAAflbMUOAAAA\ntaDYAQAASIJiBwAAIAmKHQAAgCQodgAAAJKg2AEAAEiCYgcAACAJih0AAIAkKHYAAACSoNgB\nAABIgmIHAAAgCYodAACAJCh2AAAAkqDYAQAASIJiBwAAIAmKHQAAgCQodgAAAJKg2AEAAEiC\nYgcAACAJih0AAIAkKHYAAACSoNgBAABIgmIHAAAgCYodAACAJCh2AAAAkqDYAQAASIJiBwAA\nIAmKHQAAgCQodgAAAJKg2AEAAEiCYgcAACAJih0AAIAkKHYAAACSoNgBAABIgmIHAAAgCYod\nAACAJCh2AAAAkqDYAQAASIJiBwAAIAmKHQAAgCQodgAAAJKg2AEAAEiCYgcAACAJih0AAIAk\nKHYAAACSoNgBAABIgmIHAAAgCYodAACAJCh2AAAAkqDYAQAASML5il1ShqJ3BAAAAEfkfMUO\nAAAAt0WxAwAAkATFDgAAQBIUOwAAAElQ7AAAACRBsQMAAJAExQ4AAEASFDsAAABJUOwAAAAk\nQbEDAACQBMUOAABAEhQ7AAAASVDsAAAAJEGxAwAAkIS9i925c+emTZtWUlKivjSbzevWrUtM\nTHziiSdWrVpVVVVl5zwAAADSsGuxq6ysfPPNNy9evGg2m9WRDRs2bNu2berUqU8++eTevXs/\n/PBDTR+UuN2GKQEAAJyTXYvdRx99ZDKZLC+rqqq2bds2ceLEmJiY6OjoqVOn7ty5s7y83J6R\nAAAApGG/Ynf06NH9+/cnJiZaRs6fP28wGHr37q2+jIqKKi0tPXPmjJZPS8pQbJISAADAadmp\n2F29enXp0qVPP/20v7+/ZfDy5cuKojRt2lR96evr6+HhYTAY7BMJAABAMm72+TF//etf+/fv\nHxUVderUKcvg1atXPTw8XFx+KZdeXl7FxcWWl3Pnzt2xY4d6HBAQ0FJ41/zMwsJCG6cGAABw\nIJWVldXV1VZOsEexy87O/v7772fNmnXTuI+PT0VFhdlsVpQb11XLysp8fHwsJ7Ru3bpz587q\nsaenZ2n+xZrf7uZmp1YKAADgCCzLT2tjj25UUFBw/vz5sWPHWkYee+yxwYMHP/TQQ2az2Wg0\nBgUFCSHKysoqKirUY9WMGTNmzJihHhsMhqdGTqz5sYGBgXYIDwAA4CAqKytrXuq8lT2K3fjx\n40eMGKEenzt3bvHixQsXLmzRokVgYGBAQEBeXt79998vhDhy5IiXl1dERIQdIgEAAMjHHsWu\nadOmlhUS169fF0L85je/8fPzE0IMHz587dq1bdq0cXFxWb16dVxcnKenpx0iAQAAyEfn29Ti\n4+NNJtPixYurq6sHDBgwZcoUffMAAAA4L3sXu/Dw8L///e+Wl4qiJCQkJCQk2DkGAACAfOz9\nrFgAAADYiBMXOx4+AQAAUJMTFzsAAADURLEDAACQBMUOAABAEhQ7AAAASVDsAAAAJEGxAwAA\nkATFDgAAQBIUOwAAAEnU75FiV69e/fLLLwsLC++77z4/Pz9vb29FYZdgAAAAh1CPGbvly5e3\natUqLi5uwoQJBQUFW7ZsCQkJ2bhxo+3CAQAAQDutxS4zMzM5OTk6OjotLU0diYyMdHd3Hz9+\n/I4dO2wWDwAAAFppLXaLFi3q1atXVlZWfHy8OtKlS5fjx49HREQsWLDAZvEAAACgldZid/To\n0YcfftjV1bXmoLe395gxY44dO2aDYAAAAKgfrcUuKCiovLz81vHS0lI/P78GjQQAAIA7obXY\n9e/ff82aNUajsebgmTNn0tPT+/bta4NgAAAAqB+t250sWrSoZ8+ekZGRSUlJQoisrKw9e/Ys\nX768tLR04cKFtkwIAAAATbTO2LVr127//v2hoaFz5swRQsyfPz8lJaVHjx779u0LDw+3ZUJr\njMmFev1oAAAAR1OPDYq7d++enZ1tNBrz8/M9PDzat2/v7+9vu2QAAACol/o9eUIIERgY2L9/\nf1tEAQAAwK+htdhFRkbedtzd3d3f379Hjx7PPvts27ZtGy4YAAAA6kfrPXZ9+vS5ePHikSNH\nzp49K4RwcXE5d+7ckSNHioqKLl26tGLFig4dOmRlZdky6u0lZSjcaQcAACC0F7u4uLjCwsLl\ny5dfunQpLy8vNzf3559/fv/9969cufLee+9duHDh4YcfnjJlitlstmlcAAAA1EZrsXvzzTcn\nT548bdo0d3d3dcTNze2JJ54YO3bs3Llz/fz8UlNTz58/r87nAQAAwP60Frv8/Pzb3kIXEhJy\n6NAhIUSzZs2EEOfOnWvAcAAAANBOa7GLior69NNPy8rKag6Wl5d/8sknXbp0EUIcPHhQCBES\nEtLgEQEAAKCF1lWxKSkpQ4YM6dOnz7Rp0zp27Gg2m0+ePLly5cr8/Pzdu3d/8cUXY8eOHThw\nYFhYmE3jAgAAoDZai90999yzffv2F1988dlnn7UMdu7ceceOHbGxsStWrIiKilq7dq1tQgIA\nAKBu9dig+P777//qq6/OnDlz6tSp69evh4eHR0REuLq6CiGSkpKmTZtms5B1S8pQFn92KfDd\nYB0zAAAA6KveT54ICwureb119+7dixcv3rFjR4OmAgAAQL3Vo9ht2LAhKyvrpvUTBw4cKCkp\naehUAAAAqDetxW7FihXTp0/39/c3mUylpaUhISFVVVU//vhjixYt3nzzTZtGBAAAgBZatztZ\ntmxZ3759L126dPr0aU9Pz61bt/7www85OTkmk+nee++1ZcL6SNyudwIAAADdaC12p0+fHj16\ndJMmTVq2bNm1a9fc3FwhxMCBA3//+9/Pnj3blgkBAACgidZi5+XlpSiKehwaGpqfn68e9+vX\nb//+/TaJBgAAgPrQWuw6d+68ZcsWg8EghOjUqdOePXvU8YKCguLiYlulAwAAgGZai93s2bMP\nHjwYGhp67dq1kSNH5ubmJicnv/rqqytWrIiJibFpRAAAAGihdVXs8OHDP/jgg/Xr15vN5ujo\n6JSUlNdff72ysjI0NPStt96yaUQAAABooXXGTggxadKkzz//3NfXVwjxyiuvFBUVnThxoqCg\noFOnTjaLBwAAAK00FbvS0tKwsLD333+/5qCfn1/Xrl3d3d1tEwwAAAD1o6nYeXt7BwYGOsXq\n16QMRe8IAAAA+tB6Kfajjz7avXv3ypUrq6qqbBoIAAAAd0br4omUlJSIiIhp06Y999xzbdu2\n9fHxqfnu4cOHbZDtDik56ebYeL1TAAAA2JvWYldYWCiEcKCnhwEAAOA/aS12lh2JAQAA4Jjq\nsd2JEOLq1au7du1KS0u7ePHitWvXzGazjWL9SkpOut4RAAAA7K0exW758uWtWrWKi4ubMGFC\nQUHBli1bQkJCNm7caLtwAAAA0E5rscvMzExOTo6Ojk5LS1NHIiMj3d3dx48fv2PHDpvFAwAA\ngFZai92iRYt69eqVlZUVH39jwWmXLl2OHz8eERGxYMECm8UDAACAVlqL3dGjRx9++GFXV9ea\ng97e3mPGjDl27JgNggEAAKB+tBa7oKCg8vLyW8dLS0v9/PwaNBIAAADuhNZi179//zVr1hiN\nxpqDZ86cSU9P79u3rw2C/VpKmt4JAAAA7Kse99gVFxdHRkampqYKIbKysubNmzdgwIDS0tKF\nCxfaMuGdMyYX6h0BAADAfrQWu3bt2u3fvz80NHTOnDlCiPnz56ekpPTo0WPfvn3h4eG2TAgA\nAABNtD55QgjRvXv37Oxso9GYn5/v4eHRvn17f39/2yUDAABAvWidsRs6dGhaWlpZWVlgYGD/\n/v0jIyNpdQAAAA5Fa7Hbv3//hAkTWrZsmZiYmJOT47APE7sJt9kBAIDGQ2ux+/nnnzdu3Dh0\n6ND09PRBgwaFhYX96U9/OnXqlE3DNQi6HQAAaCS0Fjtvb++xY8d+/PHHly5d2rRpU79+/d58\n882IiIiBAweuWLHCphEBAACghdZiZ+Hl5TVmzJj09PR//etfycnJBw4cmD59ui2SAQAAoF7q\nsSpWVVpaunPnzk8//TQzM9NgMAQGBo4ePdoWyQAAAFAvWoudwWDIzMzcvHnz559/Xlpa6u/v\nP2rUqHHjxsXFxTVp0sSmEQEAAKCF1mJ31113mUwmX1/f0aNHjxs3bujQoR4eHt7e+yAAACAA\nSURBVDZN1oCUnPTEK4+ufMg5VvICAADcGa3FbsyYMePGjRs2bJiXl5dNAwEAAODOaC126enp\nQgiz2fzdd9+dPn3aZDJ16NAhJCTExaXeyy8AAABgC/WoZVlZWZGRkaGhoUOGDBk6dGhYWFiv\nXr2ys7NtFw4AAADaaZ2xy83NHTFiRHBwcEpKSvfu3V1cXE6cOLFs2bJhw4YdPHiwV69eNk3Z\nIIzJhYHvBuudAgAAwFa0Fru5c+e2atXqq6++Cg6+0Y1GjRqVnJzcu3fvuXPnZmZm2ixhQ0rK\nUN4LSGMhBQAAkJLWS7F5eXkTJkywtDpVs2bNHn/88dzcXBsEAwAAQP3U4x47RVFuO242M/sF\nAACgP63FLioqat26dUVFRTUHi4qK1q1bFxUVZYNgtqWk6Z0AAACgoWm9x27+/PkxMTE9e/ac\nMWNGt27dzGbzN998s2zZskuXLm3atMmmEW0kKUPhTjsAACATrcUuKipq27Zts2bNmjNnjmWw\nW7duq1ev7t27t22y2ZwxuTBoQpY5Nl7vIAAAAA1Aa7ETQgwePPjIkSNnz549deqUECI8PLxd\nu3ZsUAwAAOAgtBa769evN2nSRFGUsLAwT0/PH3/8UZrHTqj325kf1TsHAADAr1NHMzOZTKmp\nqZ06dUpL+2W5wfHjx/v27RsUFDR37tzr16/bOCEAAAA0sVbsKisrhwwZMmfOnNLS0pCQEMt4\n165dX3rppZYtW77xxhv33XdfdXW17XPanJKTbkwu1DsFAADAnbNW7N599929e/e+8MIL3333\n3b333msZv/vuuxcsWPB///d/8fHxBw4cWL58uc1jAgAAoC7Wit2aNWvCw8NTU1Nvey+dm5vb\nunXr2rZtm56ebrN49sakHQAAcF7Wit3p06fvueceN7daF1i4uLjExsYWFBTYIJhu2LsYAAA4\nKWvFzsXFxcvLy/r3+/r6sn4CAADAEVgrdt27d//qq6+sf/+XX37ZuXPnBo0EAACAO2Gt2N13\n332HDx/+5JNPajth1apVR44cGTRokA2CAQAAoH6sFbsXX3yxa9euEydO/Mtf/lJSUlLzreLi\n4vnz58+YMSM0NLTmQ8bkkJSh6B0BAACg3qw9ecLDw2Pz5s1JSUkvvPDC/Pnzu3Xr1q5dO0VR\nzpw5c+LEieLi4piYmJUrV/r4+Ngtrt0oaTyLAgAAOJk6HikWHh6+Z8+eTz75ZOXKlfn5+QcO\nHDCbzW3atOnbt298fPwTTzyhKExuAQAAOARNz4odM2bMmDFjhBClpaUmk8nf39/GqRyCkpMu\nhDDHxusdBAAAQJM6nhV7E29v70bS6iy43w4AADiL+hW7xoluBwAAnALFDgAAQBKa7rFzBGaz\nWcefbkwu9PpvPx0DAAAAVFZWWm9ETlPsdPfUTs+l95fUfR4AAIBtmEwm6yc4TbFzhH1Vns32\nXfmQnhOHAACgMausrLTeiKwVu5iYGI0/5h//+Ec9QjkzJSedDVAAAIBjsrZ4wk0zu8V1BCyS\nBQAAjslaJ9u3b5/dcjgXJU0k+iort24T7w3TOwsAAMANv3a7k927dw8dOrRBojgj9ekUAAAA\njqAeV1E3bNiQlZVVVlZWc/DAgQMlJawVBQAA0J/WYrdixYrp06f7+/ubTKbS0tKQkJCqqqof\nf/yxRYsWb775pk0jOjglTZgf1TsEAACA9kuxy5Yt69u376VLl06fPu3p6bl169YffvghJyfH\nZDLde++9tkwIAAAATbQWu9OnT48ePbpJkyYtW7bs2rVrbm6uEGLgwIG///3vZ8+ebcuETkBJ\n42Y7AACgP63FzsvLy7IhXmhoaH5+vnrcr1+//fv32ySas0nKUNgJBQAA6EhrsevcufOWLVsM\nBoMQolOnTnv27FHHCwoKiouLbZXOCdHtAACAXrQWu9mzZx88eDA0NPTatWsjR47Mzc1NTk5+\n9dVXV6xYof0BFY2EMbmQK7MAAMD+tBa74cOHf/DBB/369TObzdHR0SkpKatWrXr99deDgoLe\neustm0Z0VonblTS9MwAAgMakHhsUT5o06fPPP/f19RVCvPLKK0VFRSdOnCgoKOjUqZPN4gEA\nAECrehQ7g8Hw3//933v37lVfrlu3bvv27aWlpbYJBgAAgPrRWuyKioqioqKeffbZb775Rh3J\nz89/4YUXevbs+cMPP9gsntMzJhfqHQEAADQWWovdCy+8YDAYPvzww2nTpqkjS5cu3b9/f3Fx\n8csvv2yzeDJgGxQAAGAfWotdTk5OUlLSxIkT3dx+eQrZgAEDpk+fbrk4CyuSMhRm7wAAgE1p\nLXYGg0FdNnETHx+fa9euNWgkmTF1BwAAbEdrsevTp8+mTZtuWipRXl6+adOmqKgoGwQDAABA\n/bjVfYoQQoh58+YNGjSof//+M2fO7Natm5ubW35+/tKlS48fP56VlWXTiAAAANBCa7GLiYnZ\nvHnzrFmzkpKSLIN33333unXr7rvvPttkk5MxuTDw3WC9UwAAAAlpLXZCiBEjRvzud7/Ly8s7\nefLk9evXIyIievfu7enpabtwskrKUFY+ZNY7BQAAkE09ip0Qws3NLTo6Ojo62kZpGg8lTZgf\n1TsEAACQi7Vi98ADD/j4+GzZskU9tnLmrl27GjhXI8A1WQAA0LCsFTuj0WgymdTjkpISu+Rp\nXLgmCwAAGpC1Ynf48GHL8T/+8Q/bh2mMuCYLAAAaitZ97BISEvLz828d37dv31NPPdWgkRod\ndi0GAAANoo5iV1JSUlRUVFRUtHbt2m+//bboP126dGnHjh2rV6+2T1aZJW7XOwEAAHB6dayK\nffrppz/44AP1eNSoUbc9h33sGoSSnWC+f43eKQAAgBOro9iNHz++W7duQojnn3/+ySefbN++\n/U0n+Pv7P/LII7ZK18iwlgIAAPwadRS7oUOHDh06VAiRmZk5ffr0nj172iVV45WZKh78o94h\nAACAc9K6QfGePXuEEFevXv3yyy8LCwvvu+8+Pz8/b29vReHG/wam5KRn7I/f2l15LyDNHBuv\ndxwAAOA0tK6KFUIsX768VatWcXFxEyZMKCgo2LJlS0hIyMaNG20XDkkZipKmdwgAAOAktBa7\nzMzM5OTk6OjotLQbRSMyMtLd3X38+PE7duywWTwIIYQxuZAtUQAAQJ20FrtFixb16tUrKysr\nPv7GxcEuXbocP348IiJiwYIFNouHX9DtAACAdVqL3dGjRx9++GFXV9eag97e3mPGjDl27JgN\nguE26HYAAMAKrcUuKCiovLz81vHS0lI/P78GjQRr6HYAAKA2Wotd//7916xZYzQaaw6eOXMm\nPT29b9++NgiGWhmTC/WOAAAAHJHW7U4WLVrUs2fPyMjIpKQkIURWVtaePXuWL19eWlq6cOFC\nWyYEAACAJlpn7Nq1a7d///7Q0NA5c+YIIebPn5+SktKjR499+/aFh4fbMiFuQ8lJV3LS9U4B\nAAAci9YZOyFE9+7ds7OzjUZjfn6+h4dH+/bt/f39bZcMdVLvt+MpZAAAQKVpxq60tDQsLOz9\n998XQgQGBvbv3z8yMpJWBwAA4FA0FTtvb+/AwMD9+/fbOg3uANdkAQCASus9dh999NHu3btX\nrlxZVVVl00C4A3Q7AAAgtN9jl5KSEhERMW3atOeee65t27Y+Pj413z18+LANsqEejMmFge8G\n650CAADoSWuxKywsFELce++9NswCAACAX0FrsduzZ49Nc6ABJG4X7w3TOwQAANBNPbY7EUKY\nzeZz586dPn3aZDJ16NAhJCTExUXrXXqwg1NLlIiWZvOjeucAAAB6qEcty8rKioyMDA0NHTJk\nyNChQ8PCwnr16pWdnW27cAAAANBO64xdbm7uiBEjgoODU1JSunfv7uLicuLEiWXLlg0bNuzg\nwYO9evWyaUrUizG5MGhClqjoZ34gVO8sAADAfrQWu7lz57Zq1eqrr74KDr6x9HLUqFHJycm9\ne/eeO3duZmamzRLizilpgsuyAAA0Hlovxebl5U2YMMHS6lTNmjV7/PHHc3NzbRAMAAAA9VOP\ne+wURbntuNnMs0odl5ImhBDG5EK9gwAAAJvTWuyioqLWrVtXVFRUc7CoqGjdunVRUVE2CIaG\np5Y8AAAgK6332M2fPz8mJqZnz54zZszo1q2b2Wz+5ptvli1bdunSpU2bNtk0IhqWkpNujo3X\nOwUAAGh4WotdVFTUtm3bZs2aNWfOHMtgt27dVq9e3bt3b9tkAwAAQD3UY4PiwYMHHzly5OzZ\ns6dOnRJChIeHt2vXjg2KnRQLZgEAkE/9allJScnp06eLiop69OjRokWL2pZTwFmwqAIAAJnU\no9gtX768VatWcXFxEyZMKCgo2LJlS0hIyMaNG20XDgAAANppLXaZmZnJycnR0dFpaTeWVkZG\nRrq7u48fP37Hjh02iwd7UOftWDMLAICz01rsFi1a1KtXr6ysrPj4Gwsqu3Tpcvz48YiIiAUL\nFtgsHuwtKYPL6wAAOCutxe7o0aMPP/ywq6trzUFvb+8xY8YcO3bMBsEAAABQP1qLXVBQUHl5\n+a3jpaWlfn5+DRoJ+lNy0vWOAAAA6k1rsevfv/+aNWuMRmPNwTNnzqSnp/ft29cGwaA/6h0A\nAM6lHvfYFRcXR0ZGpqamCiGysrLmzZs3YMCA0tLShQsX2jIhdMZddwAAOAutxa5du3b79+8P\nDQ1Vnzwxf/78lJSUHj167Nu3Lzw83JYJ4RDUeqdkJ+gdBAAA1KoeT57o3r17dna20WjMz8/3\n8PBo3769v7+/7ZLBYSm7zpofCNU7BQAAuFk9ip0qMDCwf//+togC52JMLgx8N1jvFAAA4Bda\nL8VeuXIlKSmpffv2rW7HphHhyNSLs1yiBQDAEWidsZs1a9aqVav69OkzcOBAF5f6PWEWjYSS\nk26OjWcmDwAAvWgtdpmZmUOHDt2+fbtN00AamaniwT/euFyrHlfMnumx6G29cwEAIDOtc2/V\n1dUPPfSQTaMAAADg19Ba7Pr161dQUGDTKGgMMlOFYOtjAABsQ2uxmz9//vr161euXFlVVWXT\nQGg82BsPAICGZe0eu+jo6Jov3d3dp02bNmvWrHbt2nl6etZ86/DhwzZJBwAAAM2sFbvg4OCb\nXvbs2dPGedBYJW4X7w3TOwQAAM7NWrFjDSwAAIATsXaPXURExJIlS+wWBVAXVdT8CgAAtLNW\n7E6dOnX58mW7RQFuouSkU+8AANCOZ0jA0SnZCaycBQBAC4odnIMxuVDJTjAmFxqTC/XOAgCA\ng6rjkWL79u1744036vyUOXPmNFAeoG7qBnjv+Txuvn+N3lkAAHAgdRS7vXv37t27t85PodhB\nF0p2QsaXazp5KRG904QQiVceXfmQWe9QAADopo5iN3ny5OTkZPtEAX69U0uU8OfodgCARqqO\nYnf33Xf369fPPlGABqGkCfOjeocAAEAPLJ6AhJScdGNyoZKmdw4AAOyLYgeZKWlsdAwAaESs\nFbvJkydHRkbaLQpgI0pOelKGom6YoncWAABsyNo9dqtXr7ZbDsA+KmbPLLvyatCgYO7DAwDI\np47FE4CsMlPFQ6HCsPfGdsdBE7LYLQUA4Oy4xw4AAEASdpqxu379+qpVq/Ly8q5cuRIREfHE\nE0+EhoYKIcxm8/r16/fs2VNdXT1w4MBJkya5urraJxJwKyUnXVT0Ex4HhRDC9JkQQlS9Zn4g\nVN9UAABoZKcZu0WLFh06dOiJJ55ISUlxc3ObN29eSUmJEGLDhg3btm2bOnXqk08+uXfv3g8/\n/NA+eQDtLJunqIsw9I4DAECt7FHsCgsLDx8+/Oyzz/br169jx46zZ88uLS396quvqqqqtm3b\nNnHixJiYmOjo6KlTp+7cubO8vNwOkYA7ZkwuPLVEScpQWGMLAHA09ih2xcXF4eHhHTp0UF96\neHh4enoajcbz588bDIbevXur41FRUaWlpWfOnLFDJKBBKLvOUu8AAI7DHvfYhYWFvfXWW5aX\nhw8fvnLlSteuXS9fvqwoStOmTdVxX19fDw8Pg8FgOXPr1q3ffPONeuziwjqPO6Re9S4pKRHC\nt5bj2kZ+zdebf5a71Z/ie7vPcRZKdoL4aY1ok3416kG9swAAZFZZWWk2W9vAwa7bnZjN5l27\ndi1fvvzBBx+MiIjIycnx8PCo2di8vLyKi4stLw8fPrxjxw71OCAgoKXwtmdaaZSXl7sJUV5e\nLoSveqXbcuxW67t1f3WrY9z3pmN3qz/F93af5nSe2+P3XkDapS5D9A4CAJCTAxW7n376acmS\nJd99911iYuKwYcOEED4+PhUVFWazWVFu3JBeVlbm4+Nj+ZYZM2Y89thj6vG1a9eWPJdit7Qy\nCQwMLBHGwMBA9bjmV3W8tndr/3q1zs+89biqHp9/46uTCn7pcNKo4aOOm7d2V9SvfxtWqXco\nAIAMKisrrV/DtFOx+/bbb1999dXevXu//PLLAQEB6mBQUJDZbDYajUFBQUKIsrKyiooK9VjV\nunXr1q1bq8c1L9GiXtzc3Bzha1X9v0saVXNmeY74bcb++Af/qHcUAIAzsz5dJ+yzeKKqqmrB\nggVDhgx54YUXLK1OCBESEhIQEJCXl6e+PHLkiJeXV0REhB0iAbowJhdmpgolO0HJSdc7CwBA\nQvaYF8nLy7t8+XKXLl1OnDhhGWzdunXTpk2HDx++du3aNm3auLi4rF69Oi4uztPT0w6RAN0p\naUK0SU+88uh7AWnix3jD3sLAd4P1DgUAcG72KHbnz583m80LFy6sOTh9+vQRI0bEx8ebTKbF\nixdXV1cPGDBgypQpdsgDOCa16gkhhOkz4TZCCGGpfeZHdc4GAHAK9ih2o0ePHj169G3fUhQl\nISEhIYGdwABr1Eu3iVceXflQHXdXAAAaMzaHA5yJMblQ7wgAAMcl1dpDoDGwLLwwx8brmwQA\n4GiYsQOclZImjMmFSppgjS0AQEWxA2SQmSqUnHQlJz0pQ9E7CwBANxQ7QDbG5ELm8ACgcaLY\nAXKy7ISclKEou86eWqLQ9gBAehQ7oBFJylCUNJGUodx4BgZVDwDkwqpYoFFLylDUPZDVl+yE\nDABOjWIH4BfqHF75Zwc8e71NyQMAp0OxA3B7Sk66OpNn2FsYNCFLsHMeADg87rEDoJWSnaBu\nm3dqiZKZKkTi9lNLlKQMRclJ5449AHAEFDsADUYteUqaUHadVRdqAADsiWIHwIaUNHFqiaKk\nCSU74Ubty0lXl+UywwcADY577ADoRslJP5n7aETvNCGEYf0QIUTgu8F6hwIAJ0axA+BA1Eei\nvReQJkyfCbcRLNcAgHrhUiwAx6WuybDsq6x+5Xm4AFAbZuwAOB8lJ129dKvuwyLYigUAhBDM\n2AGQA/utAIBgxg6ATG50O9NnQgjhNkL8GM/zMwA0KszYAZCZMblQ3VRZ/ZqZqncgALAlih2A\nxsWYXKhkJ1TMnsmlWwDyodgBaLwyU288LcOyebJI3K53KAC4c9xjBwD/ISlDGXXc/FCoEEIY\n9hayZzIAJ8KMHQBYk5kq1AegKdkJemcBgDpQ7ABAK3URRlKGou6uoqTpHQgA/hPFDgDunDqZ\nl5kqlOyEzFShpAll11klTdD5AOiCYgcANqFusCISt6vlT+84ABoFih0A2IN6i576lcfdArAR\nih0A6EPdLbli9ky9gwCQB8UOAPSnzuFxxRbAr0SxAwDHotY7Y3Kh3kEAOB+KHQA4Lu7JA1Av\nFDsAcA43ll+k/XIMADeh2AGAs1KXX6glj0UYAATFDgBkot6Zp37dvIYLuECjQ7EDAJnxDAyg\nUaHYAYD81JW2rLcFpEexA4DGiD3zAClR7ACg8aq5/IKZPEACFDsAwC9ubKqiXrrl/jzA2VDs\nAADWMJMHOBGKHQCgDkpOupKdoOSkU/IAB+emdwAAgDNRctIz9scLIR6KPis8DhrWDxFC7G8b\n/OAf9U4GgBk7AECDSMpQlDSh5KQrOemb1yjM7QG6oNgBAGwiM1UoOelJGTwAA7Afih0AwLbo\ndoDdUOwAADaXlKGoyy/0DgJIjsUTAAA7StyuTLwihDDHxusdBZAQM3YAAB0oOemZqUKdxstM\nZTNkoGFQ7AAADkFdaWFMLlQfdAbgDnApFgDgcG7cjVfRT7i+ar5/jd5xAKdBsQMAOLSK2TM9\nioYZ3aKFEIHvBusdB3BoXIoFADgNJe3G9nh6BwEcFMUOAOB82DwFuC2KHQDAWSVlKCJxe1KG\noq660DsOoD+KHQBAEsqus0qaqJg9U8lJNyYXMqWHRohiBwCQV+J2JU2IxO0icbveUQB7oNgB\nABqFGzsh56RnplL1IC22OwEANFJKdoJwGyF4vhkkwowdAKCxU2/LU+fzkjKUitkzM1MFd+nB\nGVHsAAColTG50JhcmJSh6B0E0IRiBwBA3ZTshIrZM2l4cHAUOwAA6oEN8+DIKHYAANRPUoai\npAl1tzx1b2QlTe9MgBCCYgcAQIPgVjw4AoodAAANJjNVKGni1BJFSROZqXqnQeNDsQMAwFaU\n7AQlTagPOjMmFyrZCWyhAptig2IAAOzKsjGyYG9kNDRm7AAA0M2NK7aJ25nJQ4Ngxg4AAIdg\nWVqbcVY8cGWmx6K3dY0Dp8SMHQAAjkjJSVfSftlaRe84cA4UOwAAnEDF7JnKrrM0PFhHsQMA\nwJmoGyNvXqOoB1Q91MQ9dgAAOLcb3e7HeNEmnWW2jRwzdgAAyEPJSReJ2/VOAd1Q7AAAkI2S\nk35jS+ScdB501qhQ7AAAACRBsQMAQHLqBB6XaBsDih0AAI2FMbmQhbRyo9gBANDoqA1P7xRo\neBQ7AAAaqcxUnmkhG4odAACNWlKGwuydNCh2AABA3HgubU66+pWVFk6KJ08AAIDbyEwVD4WK\njLNCCPHgH/VOA22YsQMAAHXITBUVs2fqnQJ1o9gBAABNlDS9E6AuFDsAAABJUOwAAIBWmak3\nllnoHQS3R7EDAAD1xmVZx0SxAwAAdyIz9T93SIEDoNgBAIAGwC7HjsBp9rEzm816R3BWBoNB\nEcJgMAgRZDAYRI1jpdZ36/6q1DEedNOxt9WfEnS7TwMkc8t/yWv+aWj9E7v1D1k99q7xXUqt\n51t793Y/8cYfMqCRMbnQvMBV7xQyq6ysrK6utnKC0xQ7ReF/W+5QUFCQURQGBQWpxzW/quO1\nvVv7V2Odn3nrcUU9Pv/GV0Ayt/2vem1/GvX9w6zQ/Eet5Y/3pnE7/iPB6SkvVwW+G6x3CmlV\nVla6uFi73MqlWAAA0JCSMpSK2TO5604XFDsAAGAbidt55qydUewAAIAtJW7PTNU7Q6NBsQMA\nADanpAlm7+yAYgcAAOzEsu+d3kGkRbEDAAD2pqQJZddZvVNIiGIHAAB0wsXZhkaxAwAAumFj\nlIZFsQMAAJAExQ4AAOgsKUNRtzVmY5RfiWIHAAAgCYodAABwIEza/RoUOwAA4FjodneMYgcA\nABwOS2XvDMUOAAA4JHa5qz+KHQAAcFA8Yba+KHYAAMChcVlWO4odAABwdMbkQr0jOAeKHQAA\ncALM22lBsQMAAE6C++3qQrEDAACQBMUOAAA4DSVN7wSOjWIHAACcSuL2zFRuubs9ih0AAIAk\nKHYAAMA5sZbiFhQ7AADgrLggexOKHQAAgCQodgAAAJKg2AEAACeWmap3AkdCsQMAAM6NO+0s\nKHYAAMDpKTnp7F0sKHYAAEAaTN1R7AAAgDySMhS9I+iJYgcAAKSipDXeqTuKHQAAgCQodgAA\nQEKN85osxQ4AAEASFDsAACCnRrh3McUOAABAEhQ7AAAASVDsAACAtBrb1ViKHQAAkJmSnaB3\nBPuh2AEAAEiCYgcAACTXeC7IUuwAAID8GslDxih2AAAAkqDYAQAASIJiBwAAIAmKHQAAgCQo\ndgAAoFFoDGtjKXYAAACSoNgBAABIgmIHAAAai6QMRe8ItkWxAwAAjUnidr0T2BDFDgAANDLy\ndjuKHQAAgCQodgAAAJKg2AEAgEZH1lUUFDsAAABJUOwAAAAkQbEDAACQBMUOAABAEhQ7AADQ\nSBmTC/WO0MAodgAAAJKg2AEAAEiCYgcAACAJih0AAIAkKHYAAACSoNgBAABIgmIHAAAgCYod\nAACAJCh2AACgUctM1TtBw6HYAQAASIJiBwAAIAmKHQAAgFBy0vWO0AAodgAAAJKg2AEAAEiC\nYgcAACAJih0AAIAkKHYAAACSoNgBAADcoK6Ndd4VshQ7AAAASVDsAAAAJEGxAwAAkATFDgAA\n4Dac8U47ih0AAIAkKHYAAACSoNgBAABIgmIHAABQq1NLFL0j1APFDgAAQBIUOwAAAEm46fvj\nzWbz+vXr9+zZU11dPXDgwEmTJrm6uuobCQAA4CZKdoL5/jV6p6ibzsVuw4YN27Zte+qpp9zc\n3N555x0hxBNPPKFvJAAAACel56XYqqqqbdu2TZw4MSYmJjo6eurUqTt37iwvL9cxEgAAgPPS\ns9idP3/eYDD07t1bfRkVFVVaWnrmzBkdIwEAANQmM1XvBHXR81Ls5cuXFUVp2rSp+tLX19fD\nw8NgMFhO+Ne//nXlyhX1+Nq1azpElILJZPr3V7dajmsb+TVfa/tZt/8pbrf7HEAyDfRHV/cf\nVH1+iqZ3ASnd0R+jm8lkct/oVvmIqWrOLNc33tIlsxV6zthdvXrVw8PDxeWXDF5eXsXFxZaX\ny5YtS/i32bNn65FRBkaj0Um/ApJxhD8r/hgBiwb5A9nxZzfL1ye3uxuNxu/+x91oNLpvdDMa\njSVPGS3vuh/Y9MvxRjej0eiWvMtoNLrv+cHy7n8cb/zlu9Svqurqaiu/lGI2m237z1a73Nzc\n1157bcuWLYpyY+u/Rx555Omnn46NjVVfbt269ZtvvlGPXVxcjh49unLlSn2yAgAA6K2ysnLS\npEl///vfaztBz0uxQUFBZrPZaDQGBQUJIcrKyioqKtRj1ahRo0aNGqUe6uyxRAAAIABJREFU\nGwyGp556ytfXV5+sAAAAequsrLRMh92WnpdiQ0JCAgIC8vLy1JdHjhzx8vKKiIjQMRIAAIDz\n0nPGztXVdfjw4WvXrm3Tpo2Li8vq1avj4uI8PT11jAQAAOC8dN6gOD4+3mQyLV68uLq6esCA\nAVOmTNE3DwAAgPPSudgpiqIuetU3BgAAgAT0vMcOAAAADYhiBwAAIAmKHQAAgCQodgAAAJKg\n2AEAAEiCYgcAACAJih0AAIAkKHYAAACSoNgBAABIgmIHAAAgCYodAACAJCh2AAAAkqDYAQAA\nSIJiBwAAIAmKHQAAgCQodgAAAJKg2AEAAEiCYgcAACAJih0A/H979x7VxLX2D3wPBJFAEjiC\nWjkWEUsrUBZIUKTITUWggkHiBaWoID0q1AJilZsXtFWPF0SPrctaq7IsWF+8gEq1gD/AS5HW\nKr6CHrXSVqoiIiIiMcH8/hjfWSkhIWDkMnw/f7CSmT179syzd3iY2RkAAFgCiR0AAAAASyCx\nAwAAAGAJTnc3oANevnzZ0NDQ3a0AAAAA6B4ymUx9gV6T2NXV1TU2Ns6cOZN+S1GUXC7vUA30\nJjo6OnK5nH6tyU96285toqOj8/LlS81/6urqdqg8cywvX77UvHl0+Y62rdMt7GjbOnHeFNvW\nibOhxV6qxmseXUfPYeeOrlUf1lAXD8ZWTe05QxKDsVsGY+c2VGwbBiP7BmMXD8muH4ympqYN\nDQ18Pr/NmPaaxO7w4cP37t3r7lYAAAAAdKeampqzZ8/6+/u3uRZz7AAAAABYAokdAAAAAEsg\nsQMAAABgiV4zx87Hx+fx48cNDQ0dmuFLVEzS1NXVlclkqiY8cjgcqVSqp6en/JPeqqWlpc2f\nMpmsza3ony9evOjXr1+rn3SdHd1KX19fIpEo/2TKKC+XSqXtbqXhXtTvS/3P/v3706+bm5v7\n9++v+PP1W6K8lfJemH2p37bVz1bR53A4MplM8Scd/VbL6ZJSqVS5fLs/lXuX+sm2ijPWVU1z\nbnM2d5uzrTs9Pbxzg5E5zA4NRvrE9rrBqK+vT++rzSGpvit2YuCr2apzg5EeDqoGfrst7wuD\nsVU/13AwqvqCRbcMxjZ/P6ofjGp+P2p3MGpxgHTlYNTub0YrKys7OztV+VKHv0EDAAAAAD0T\nbsUCAAAAsAQSOwAAAACWQGIHAAAAwBJI7ACAnSQSSXp6+pgxY0xNTXk8nq2tbVJS0pMnT7q+\nJePGjRs7dmzX7xcA+iB8eQIAWEgmk3l5eZ09e3bChAkffPCBXC7/5ZdfTp48aWVlVVpa+o9/\n/KMrGzNu3DiZTHbhwoWu3CkA9E295nEnAACa271799mzZ9PS0mJiYpiFR44cmTp1alJS0ldf\nfdWNbQMAeHNwKxYAWOj8+fOEkPnz5ysuDAoKsrGx+eGHHzpUlUwma2lp0bwwboMAQDdCYgcA\nLERnV+Xl5a2Wnzp16scff2Tenjx50tPTc9CgQXw+39HR8euvv2ZW+fn5iUSitWvXCgQCfX19\noVB47NgxqVQaFxf3zjvvCASCDz/88M8//ySEtLS0UBS1a9euTz75hMvlcrlcV1fX/fv3q2pb\nVVVVSEiIpaWlQCBwd3c/ceKElg8eAPowzLEDABbKzc0NDAw0NDT8+OOPg4KCXFxc9PT0WpXZ\nt2/f3LlzR48eLRKJ5HL5sWPHLl68ePDgwenTpxNC/Pz8zp07x+FwlixZwufzN2zY8PDhQ3t7\ne0NDw5CQkEuXLu3atSswMPDYsWP0fzUwNzd/9OhRWFjYwIEDjxw5cu3atXXr1i1fvpz8fY7d\n1atXx40bx+PxQkNDDQwMDh8+XF5evnPnzo8//rjrzxIAsJAcAICN9uzZM3ToUPqDzsjIyN/f\nf9u2bXV1dUwBHx8fgUDALJFIJHw+PzIykn7r6+tLUVRpaSn99ssvvySEODk5tbS00Evefffd\ngQMHyuVymUxG76WgoIBe1dTUNHbsWCMjo5qaGrlc7ubm5uLiQq/y9va2sLB4/Pgx/VYqlXp6\nehoaGtL/LxEA4DXhViwAsNO8efOqqqouXry4bt06FxeXwsLCxYsXW1hYHD9+nC6QnZ1dXV1t\nYmJCv62rq5PJZM+fP2dqGD58+OjRo+nX7u7uhJAZM2bo6Lz62PTy8mpqamIKu7u7e3t7068N\nDAxSUlIaGxtPnz6t2KT6+vrCwsLIyEhjY2N6CYfD+de//vXs2bOffvpJ62cAAPogJHYAwFo6\nOjrOzs7Lly//8ccfa2pqtm3bJpPJZs+e/ejRI0KIkZFRRUXFihUrZsyYIRQKLS0tFRM1QgiP\nx2NeczgcQojic1LoJQx7e3vFt46OjoSQ27dvKy68fv06ISQ5OZlSEBISQgipra3V0kEDQJ+G\nx50AANs0NDRERESIRKLZs2czC3k83ieffPLkyZOUlJTz588HBASsXbt2xYoVo0aN8vb29vHx\nGTVqVFBQkLbaQKd9L168UFyor69PCElOTp4wYUKr8u+++662dg0AfRkSOwBgGx6Pl5ub++zZ\nM8XEjllFCDExMXn69GlqaurHH3+8c+dOZq3mjzVRdvXqVcW3ly9fJoRYW1srLrSysiKEcDgc\nDw8PZmFFRcWvv/4qFAo7vWsAAAZuxQIA21AUJRaL8/LyWj2I+PHjx19++aWJiYmzs/Pvv/8u\nlUoHDhzIrD179mx1dXWnd1pUVFRUVES/lkgka9as6d+///jx4xXL8Pn8iRMn7ty587fffqOX\nNDU1BQQEJCQkcLncTu8aAICBK3YAwEJbtmy5e/fuokWLvvnmG0dHR1NT03v37uXk5NTX1x8/\nflxfX//dd98dNmzY9u3bX7x4YW1tffHixezs7EGDBl24cKGgoKBVQqYJc3NzPz+/8PBwMzOz\nI0eOXLlyJTU11dzcvFWxf//73+7u7h988EFISEj//v2zs7Pv3LmTlZVFUZSWDh0A+jQkdgDA\nQgMHDiwoKNiyZUtRUdGpU6fq6urefvvtgICAJUuW0N9y0NPTO3nyZFxc3M6dO/l8vpub26+/\n/nrmzJn4+PiNGzd2IrGbN2/e8OHD//Of/9y8eXPkyJF79uyZN2+ecjEHB4dLly4tW7bs0KFD\nT58+tbe3T09P9/X11cIxAwDgAcUAAK+JfkBxcnLymjVrurstANDXYY4dAAAAAEsgsQMAAABg\nCSR2AACvhaKo6OjoMWPGdHdDAAAwxw4AAACALXDFDgAAAIAlkNgBAAAAsAQSOwAAAACWQGIH\nAAAAwBJI7AAAAABYAokdAAAAAEsgsQMAAABgCSR2AAAAACyBxA4AAACAJZDYAQAAALAEEjsA\nAAAAlkBiBwAAAMASSOwAAAAAWAKJHQAAAABLILEDAAAAYAkkdgAAAAAsgcQOAAAAgCWQ2AEA\nAACwBBI7AAAAAJZAYgcAAADAEkjsAAAAAFgCiR0AAAAASyCxAwAAAGAJJHYAAAAALIHEDgAA\nAIAlkNgBAAAAsAQSOwAAAACWQGIHAAAAwBJI7AAAAABYgtPdDQBom2TZYi3Wpr9hmxZrgzZF\n5lLarfDrALl2KwQ1qB/vaLE2+URLLdbGAvULarVYm/FOUy3WBiyDK3YAAAAALIHEDgAAAIAl\nkNgBAAAAsAQSOwAAAACWQGIHAAAAwBJI7AAAAABYAokdACGEBAUFUUr8/PxaFSstLaWoNh7q\n0dLSQlFUaWmpqvpv3LhBUdSTJ080aYz62iQSCUVRV65c0aQqdtMwasp4PF5BQYGqte1GU1u6\nbEc9U6fDpyE6ypqMl4cPHzY2Nmprvz3E65zeDn3IdPoTien/+EzTLjzHDuAVLy+vdevWKS4R\nCATd1Rg1dHV14+PjzczMurshPUJviRq0qQvCp8l4mTp1qkgkWrJkiXZ33e06fXo79CHz+p9I\n+EzTLiR2AK8MGDBgzJgx3d2K9nE4nI0bN3Z3K3qKLotaU1MTl8vtgh31KR0NXyei0JfHS6dH\nR4dO2uuf4b4cozcBt2IBOqy4uFgoFAoEAg8PD+XbB7du3RKJRIMGDeLz+Z6ensoFysrKjI2N\nv/rqK0JIQ0PDggULLCwsBAJBQEDA3bt3FUvGxcV5eXkxb9euXWtjY4PbFp1w69YtX19fY2Nj\nR0fHnJwcxeXqg0XfKpo0aVJISEib4SCE6Onpffnll0OHDjU0NPT29q6uro6JiRk8ePDAgQO3\nbdtGCCktLTUzM9u9e/eQIUP4fP748eMrKytb7UhVT1DVQj09vaNHj9rZ2XG53BEjRmRnZ2t4\nRL2RYhSI6mNsM8qK46XNDZ2dnc+ePRsfH0/fpmTlCVRjypQp06ZNY97u2LHDzMyssbGROWnt\ndm/FM9y5bqlYQ25urqOjI5fLtbS03Lp1a5edBzZBYgfwSl1d3S9/d+/evTZLhoeHJyQkHD9+\n3MjIyMPD49GjR4prAwMDGxoaMjMzjx07JpfLIyMjFddeuXLF19d31apVCxcuJIQEBQXduHEj\nIyMjPz+fz+dPmjSpvr6eKSwWi0tKSmprX/0zooMHD4aGhmr5sHs5TaLW1NTk4eHR0tKSk5OT\nkpISHR3d1NREr1IfLFpsbGxYWNiOHTvUhGPz5s2ZmZknT568cePGO++8w+fzi4qKpkyZEhcX\nRwe0rq5uxYoV27ZtO3HihIGBgbu7e0NDg+JeVPUENS2Mjo5etWpVWVmZs7NzaGhoc3OzhkfU\nc2g+6JgoEBXHqCbKjDY3LCsrc3Nz27RpU15enqoyvZQmp3fGjBl5eXl05yGEHDp0aNasWXp6\neopl2u3eil6nW/7xxx9isdjX17e4uHjRokWxsbEXLlzQzrnoS3ArFuCVwsJCoVCouGTVqlUr\nV65ULrl58+YpU6YQQoRC4bBhw/bu3RsTE0OvksvlERERU6dOtbS0JITcvXs3Li6O2bCiomLK\nlCkLFy6ky5eWlpaUlNTU1BgbGxNC9u/fb25unp2dPXfuXLr82LFjBw0alJOTEx4efu3atWvX\nrs2aNetNHHvvpUnUvvvuu+fPn2dnZ/P5fEKIrq6uSCQi7QWLERAQMHv2bEKIubm5qnCsXr3a\nzc2NEBIUFFRQUJCamkoISUpK2r17d3V1NSHk5cuX27dvDw4OJv/Xbfbt27do0SJ6c1U9ITw8\nXE0Lo6KixGIxvfesrKzq6urhw4drckQ9h+aDjomCqqipijJDk3Br2CV6C01Ob0BAQEtLy+nT\npwMDA+/fv19SUrJly5ZW9ajv3iNGjFAs/Drd8ubNm1KpdP78+VZWVkKh0MbGZsiQIa97Fvoe\nJHYAr4jF4kOHDmlS0tPTk35hYGDg6uqqeFuNoqioqKicnJxvvvnm+vXrhYWFurq6zNqAgACK\nom7fvk2/rayslEqlilOGZTLZX3/9pVhbcHDw4cOHw8PDs7KyXF1dhw0bJpFIXuMo2UaTqF27\ndm306NH073tCyIQJE+gX6oPFGDVqFFNeORz0qqFDh9IvTExMLCwsmNeK9bTqNhUVFcwqVT1B\nfQudnJzoFwMGDOjQEfUcmg86xSi0eYyqoszQ5OT0uhOonianl8fj+fv7HzlyJDAwMDs7e+TI\nkaNGjWr1IaNJ92a8Trd0dXV1cXGxtbX18/Pz9vYWiUTMrkFzuBUL8Fp0dXX79evHvG1sbBw7\nduzGjRsFAsHcuXPT0tIUCycmJn7//fdZWVmFhYWEEIFAMHjwYKkCuVyekpKiuIlYLM7Pz3/6\n9GlWVhZ9xQI6qtVvEX19fXqJ+mAxjIyMmNeahKPNB+IoN0kmkzFvVfUE9S3U19dvVa2GR9Qb\nMVFQdYyqoszQ5OSw+ASqMX369NzcXJlM9v3338+ZM0d94Xa79+t0SwMDg3PnzuXn59vZ2X37\n7bcjRow4evSohkcBDFyxA+iwoqKiwMBAQkhzc/O5c+dWrFjBrDpz5kxFRcX9+/fpP2cPHDig\nuGFERIRAIJg5c2Z0dPSVK1dsbW0fPHhQWVk5cuRIQkh1dXVwcPCuXbtsbW2ZTdzc3IyNjVNT\nU3///ffp06d30RGyy8iRI/fs2fP06VMej0cIOX/+fEtLC2kvWG16nXAUFRVNnTqVENLc3Hz+\n/PmlS5cyq1T1hN9//71DLezEEfU6qo5RVZTb3bCjZdhn8uTJ4eHhBw8evHDhQmZmptbr1/ys\nFhYWlpaWJiQkuLm5rVmzRiQS7d+/v9UtdWgXEjuAV+iJxq0W0rcV9u7d+/z5c/rrDoSQqKgo\nQoiZmRn9jKiwsDCm/IABA168eHH48GEfH5+ysrKkpKSmpiZmuj1t06ZN7733Xnp6enx8fFBQ\nkEgkSk9P79evX2pqamNjo2JWRwjR0dEJCgpKS0vz9/dnbm0AQ5OohYSEpKSkiMXilStX1tfX\nx8bG0o/MUBUsVfeYyOuFIyYmRldXd9CgQevXr5dIJPPmzWNWWVtbt9kTGhsb22yhqalpm7tQ\ndUSqync7zQcdQ9Uxqopyuxuamprq6OjcuXOnvr6+151A9TQ8vYaGhh9++GFMTIy3t/ebmNOm\n+UCjKCo5OZnH43l5eVVUVBQXF8fHx2u9PayHW7EAr9ATjRW5uLjQqw4cOLBnzx769ZAhQ5Yt\nW7Z8+XJfX9/m5uaSkhJDQ0OmEldX188//zw5OdnBwSEzM/PUqVMWFhb+/v6KOzI3N1+5cuXq\n1aurq6szMjLGjx8fGRkZHBxsYmJy4sQJ5dknYrG4paUF92HbpEnUuFxucXExIcTf33/58uXr\n168fPnw40SxYyjodjp07d65YscLHx+fJkyfFxcX09yQYbfaEjrawc0fUjTQcdIpUHaOqKLe7\nISEkLCwsKysrIiKi151A9TQ/vTNmzKitrVX8G1WLND+rXl5eW7ZsSUtLc3JyWrp06YIFCz77\n7LM30SR2o+RyeXe3AaANkmWLtVib/oZtWqyti+Xk5ISGhj548MDAwKC726JOZG77c8s65OuA\nnvjp1IlwlJaWuri4yGSynjwTn/rxjhZrk0+01GJtLFC/oLb9Qhoz3tkrryBC18CtWICeq6Wl\n5dmzZ5s3bw4ODu7hWV1fgHAAQM+HW7EAPdfPP/8sEAhu376dlJTU3W2BzodDX1+feTAKAMAb\nhSt2AD2Xs7PzjRs3rKysevItvL6j0+FwcHC4c0ebNzoBAFRBYgfQc+no6FhbW3d3K+AVhAMA\nej7cigUAAABgCSR2AAAAACyBxA4AAACAJfAcOwAAAACWwBU7AAAAAJbAt2Khh7qVps1/YzAi\nFlem3ziq8CPtVij3ztBuhaAGpdV//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      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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6i6ujomJoZfQxpioIYDA1Vzdrvdbrcz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\nAAAAwBL/B+zoyXCQA/E4AAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "db = mfq.sum %>%\n",
    "mutate(project=ifelse(Section%in%c(\"Maidenaria\", \"Eucalyptus\") | project==\"MMackinnon\", \"Dieback\", NA)) %>%\n",
    "filter(project==\"Dieback\", !is.na(species_other))\n",
    "\n",
    "db %>%\n",
    "group_by(project) %>%\n",
    "group_walk(plotby)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "id": "d0311d03-1842-48a2-b561-82304e5b3c27",
   "metadata": {},
   "outputs": [],
   "source": [
    "dbsamp = db %>%\n",
    "    pull(sample) %>%\n",
    "    as.character()\n",
    "writeLines(dbsamp, \"dieback_samples.txt\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "0a391ba7-1a96-44da-b552-1e0985ffdf56",
   "metadata": {},
   "outputs": [],
   "source": [
    "dbfq = meta %>%\n",
    "    filter(sample %in% dbsamp)  %>%\n",
    "    select(library, sample, read1, read2, interleaved)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "03844994-5002-47bc-be3c-45b0b61a385e",
   "metadata": {},
   "outputs": [],
   "source": [
    "write_tsv(dbfq, \"dieback_only.tsv\", na=\"\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "R",
   "language": "R",
   "name": "ir"
  },
  "language_info": {
   "codemirror_mode": "r",
   "file_extension": ".r",
   "mimetype": "text/x-r-source",
   "name": "R",
   "pygments_lexer": "r",
   "version": "4.0.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}