docs/DOT-visualizations.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# DOT format visualizations"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "------\n",
    "\n",
    "## Setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "use Graph;\n",
    "use Graph::HexagonalGrid;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we set a collection of visualization variables:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{charge => {iterations => 4, strength => -30}, collision => {iterations => 4, radius => 50}, link => {distance => 30}}"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "my $title-color = 'Ivory';\n",
    "my $stroke-color = 'SlateGray';\n",
    "my $tooltip-color = 'LightBlue';\n",
    "my $tooltip-background-color = 'none';\n",
    "my $background = '#1F1F1F';\n",
    "my $color-scheme = 'schemeTableau10';\n",
    "my $edge-thickness = 3;\n",
    "my $vertex-size = 6;\n",
    "my $engine = 'neato';\n",
    "my $mmd-theme = q:to/END/;\n",
    "%%{\n",
    "  init: {\n",
    "    'theme': 'forest',\n",
    "    'themeVariables': {\n",
    "      'lineColor': 'Ivory'\n",
    "    }\n",
    "  }\n",
    "}%%\n",
    "END\n",
    "my %force = collision => {iterations => 0, radius => 10},link => {distance => 180};\n",
    "my %force2 = charge => {strength => -30, iterations => 4}, collision => {radius => 50, iterations => 4}, link => {distance => 30};"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Dot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "&neato"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sub dot(Graph:D $g, *%opts) { $g.dot(:svg, |%opts) }\n",
    "sub fdp(Graph:D $g, *%opts) { $g.dot(engine => 'fdp', :svg, |%opts) }\n",
    "sub sfdp(Graph:D $g, *%opts) { $g.dot(engine => 'sfdp', :svg, |%opts) }\n",
    "sub neato(Graph:D $g, *%opts) { $g.dot(engine => 'neato', :svg, |%opts) }"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "-----\n",
    "\n",
    "## Direct"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here is a graph:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "Graph(vertexes => 38, edges => 49, directed => False)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#% html\n",
    "my $g = Graph::HexagonalGrid.new(3, 4, scale => 0.4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Visualization using the Graphviz DOT language and CLI script `neato`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       " \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Generated by graphviz version 11.0.0 (20240428.1522)\n",
       " -->\n",
       "<!-- Pages: 1 -->\n",
       "<svg width=\"576pt\" height=\"346pt\"\n",
       " viewBox=\"0.00 0.00 576.00 346.19\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       "<g id=\"graph0\" class=\"graph\" transform=\"scale(1.09002 1.09002) rotate(0) translate(4 313.6)\">\n",
       "<polygon fill=\"#1f1f1f\" stroke=\"none\" points=\"-4,4 -4,-313.6 524.43,-313.6 524.43,4 -4,4\"/>\n",
       "<!-- 8 -->\n",
       "<g id=\"node1\" class=\"node\">\n",
       "<title>8</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"121.37,-270 115.97,-280.8 105.17,-280.8 99.77,-270 105.17,-259.2 115.97,-259.2 121.37,-270\"/>\n",
       "<text text-anchor=\"middle\" x=\"110.57\" y=\"-266.13\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">8</text>\n",
       "</g>\n",
       "<!-- 12 -->\n",
       "<g id=\"node2\" class=\"node\">\n",
       "<title>12</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"171.25,-298.8 165.85,-309.6 155.05,-309.6 149.65,-298.8 155.05,-288 165.85,-288 171.25,-298.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"160.45\" y=\"-294.93\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">12</text>\n",
       "</g>\n",
       "<!-- 12&#45;&#45;8 -->\n",
       "<g id=\"edge1\" class=\"edge\">\n",
       "<title>12&#45;&#45;8</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M151.76,-293.78C142.6,-288.5 128.27,-280.22 119.16,-274.96\"/>\n",
       "</g>\n",
       "<!-- 16 -->\n",
       "<g id=\"node4\" class=\"node\">\n",
       "<title>16</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"221.13,-270 215.73,-280.8 204.93,-280.8 199.53,-270 204.93,-259.2 215.73,-259.2 221.13,-270\"/>\n",
       "<text text-anchor=\"middle\" x=\"210.33\" y=\"-266.13\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">16</text>\n",
       "</g>\n",
       "<!-- 12&#45;&#45;16 -->\n",
       "<g id=\"edge11\" class=\"edge\">\n",
       "<title>12&#45;&#45;16</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M169.14,-293.78C178.29,-288.5 192.62,-280.22 201.74,-274.96\"/>\n",
       "</g>\n",
       "<!-- 15 -->\n",
       "<g id=\"node3\" class=\"node\">\n",
       "<title>15</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"221.13,-212.4 215.73,-223.2 204.93,-223.2 199.53,-212.4 204.93,-201.6 215.73,-201.6 221.13,-212.4\"/>\n",
       "<text text-anchor=\"middle\" x=\"210.33\" y=\"-208.53\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">15</text>\n",
       "</g>\n",
       "<!-- 15&#45;&#45;16 -->\n",
       "<g id=\"edge10\" class=\"edge\">\n",
       "<title>15&#45;&#45;16</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M210.33,-223.51C210.33,-233.71 210.33,-248.74 210.33,-258.93\"/>\n",
       "</g>\n",
       "<!-- 19 -->\n",
       "<g id=\"node22\" class=\"node\">\n",
       "<title>19</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"271.02,-183.6 265.62,-194.4 254.82,-194.4 249.42,-183.6 254.82,-172.8 265.62,-172.8 271.02,-183.6\"/>\n",
       "<text text-anchor=\"middle\" x=\"260.22\" y=\"-179.73\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">19</text>\n",
       "</g>\n",
       "<!-- 15&#45;&#45;19 -->\n",
       "<g id=\"edge41\" class=\"edge\">\n",
       "<title>15&#45;&#45;19</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M219.02,-207.38C228.18,-202.1 242.51,-193.82 251.63,-188.56\"/>\n",
       "</g>\n",
       "<!-- 20 -->\n",
       "<g id=\"node19\" class=\"node\">\n",
       "<title>20</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"271.02,-298.8 265.62,-309.6 254.82,-309.6 249.42,-298.8 254.82,-288 265.62,-288 271.02,-298.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"260.22\" y=\"-294.93\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">20</text>\n",
       "</g>\n",
       "<!-- 16&#45;&#45;20 -->\n",
       "<g id=\"edge9\" class=\"edge\">\n",
       "<title>16&#45;&#45;20</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M219.02,-275.02C228.18,-280.3 242.51,-288.58 251.63,-293.84\"/>\n",
       "</g>\n",
       "<!-- 10 -->\n",
       "<g id=\"node5\" class=\"node\">\n",
       "<title>10</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"171.25,-126 165.85,-136.8 155.05,-136.8 149.65,-126 155.05,-115.2 165.85,-115.2 171.25,-126\"/>\n",
       "<text text-anchor=\"middle\" x=\"160.45\" y=\"-122.12\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">10</text>\n",
       "</g>\n",
       "<!-- 14 -->\n",
       "<g id=\"node18\" class=\"node\">\n",
       "<title>14</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"221.13,-97.2 215.73,-108 204.93,-108 199.53,-97.2 204.93,-86.4 215.73,-86.4 221.13,-97.2\"/>\n",
       "<text text-anchor=\"middle\" x=\"210.33\" y=\"-93.32\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">14</text>\n",
       "</g>\n",
       "<!-- 10&#45;&#45;14 -->\n",
       "<g id=\"edge46\" class=\"edge\">\n",
       "<title>10&#45;&#45;14</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M169.14,-120.98C178.29,-115.7 192.62,-107.42 201.74,-102.16\"/>\n",
       "</g>\n",
       "<!-- 6 -->\n",
       "<g id=\"node26\" class=\"node\">\n",
       "<title>6</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"121.37,-97.2 115.97,-108 105.17,-108 99.77,-97.2 105.17,-86.4 115.97,-86.4 121.37,-97.2\"/>\n",
       "<text text-anchor=\"middle\" x=\"110.57\" y=\"-93.32\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">6</text>\n",
       "</g>\n",
       "<!-- 10&#45;&#45;6 -->\n",
       "<g id=\"edge17\" class=\"edge\">\n",
       "<title>10&#45;&#45;6</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M151.76,-120.98C142.6,-115.7 128.27,-107.42 119.16,-102.16\"/>\n",
       "</g>\n",
       "<!-- 11 -->\n",
       "<g id=\"node31\" class=\"node\">\n",
       "<title>11</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"171.25,-183.6 165.85,-194.4 155.05,-194.4 149.65,-183.6 155.05,-172.8 165.85,-172.8 171.25,-183.6\"/>\n",
       "<text text-anchor=\"middle\" x=\"160.45\" y=\"-179.73\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">11</text>\n",
       "</g>\n",
       "<!-- 10&#45;&#45;11 -->\n",
       "<g id=\"edge48\" class=\"edge\">\n",
       "<title>10&#45;&#45;11</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M160.45,-137.11C160.45,-147.31 160.45,-162.34 160.45,-172.53\"/>\n",
       "</g>\n",
       "<!-- 23 -->\n",
       "<g id=\"node6\" class=\"node\">\n",
       "<title>23</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"320.9,-212.4 315.5,-223.2 304.7,-223.2 299.3,-212.4 304.7,-201.6 315.5,-201.6 320.9,-212.4\"/>\n",
       "<text text-anchor=\"middle\" x=\"310.1\" y=\"-208.53\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">23</text>\n",
       "</g>\n",
       "<!-- 27 -->\n",
       "<g id=\"node7\" class=\"node\">\n",
       "<title>27</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"370.78,-183.6 365.38,-194.4 354.58,-194.4 349.18,-183.6 354.58,-172.8 365.38,-172.8 370.78,-183.6\"/>\n",
       "<text text-anchor=\"middle\" x=\"359.98\" y=\"-179.73\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">27</text>\n",
       "</g>\n",
       "<!-- 23&#45;&#45;27 -->\n",
       "<g id=\"edge6\" class=\"edge\">\n",
       "<title>23&#45;&#45;27</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M318.79,-207.38C327.94,-202.1 342.27,-193.82 351.39,-188.56\"/>\n",
       "</g>\n",
       "<!-- 24 -->\n",
       "<g id=\"node20\" class=\"node\">\n",
       "<title>24</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"320.9,-270 315.5,-280.8 304.7,-280.8 299.3,-270 304.7,-259.2 315.5,-259.2 320.9,-270\"/>\n",
       "<text text-anchor=\"middle\" x=\"310.1\" y=\"-266.13\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">24</text>\n",
       "</g>\n",
       "<!-- 23&#45;&#45;24 -->\n",
       "<g id=\"edge8\" class=\"edge\">\n",
       "<title>23&#45;&#45;24</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M310.1,-223.51C310.1,-233.71 310.1,-248.74 310.1,-258.93\"/>\n",
       "</g>\n",
       "<!-- 31 -->\n",
       "<g id=\"node33\" class=\"node\">\n",
       "<title>31</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"420.66,-212.4 415.26,-223.2 404.46,-223.2 399.06,-212.4 404.46,-201.6 415.26,-201.6 420.66,-212.4\"/>\n",
       "<text text-anchor=\"middle\" x=\"409.86\" y=\"-208.53\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">31</text>\n",
       "</g>\n",
       "<!-- 27&#45;&#45;31 -->\n",
       "<g id=\"edge39\" class=\"edge\">\n",
       "<title>27&#45;&#45;31</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M368.67,-188.62C377.83,-193.9 392.16,-202.18 401.28,-207.44\"/>\n",
       "</g>\n",
       "<!-- 5 -->\n",
       "<g id=\"node8\" class=\"node\">\n",
       "<title>5</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"121.37,-39.6 115.97,-50.4 105.17,-50.4 99.77,-39.6 105.17,-28.8 115.97,-28.8 121.37,-39.6\"/>\n",
       "<text text-anchor=\"middle\" x=\"110.57\" y=\"-35.72\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">5</text>\n",
       "</g>\n",
       "<!-- 9 -->\n",
       "<g id=\"node23\" class=\"node\">\n",
       "<title>9</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"171.25,-10.8 165.85,-21.6 155.05,-21.6 149.65,-10.8 155.05,0 165.85,0 171.25,-10.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"160.45\" y=\"-6.93\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">9</text>\n",
       "</g>\n",
       "<!-- 5&#45;&#45;9 -->\n",
       "<g id=\"edge21\" class=\"edge\">\n",
       "<title>5&#45;&#45;9</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M119.26,-34.58C128.41,-29.3 142.74,-21.02 151.86,-15.76\"/>\n",
       "</g>\n",
       "<!-- 5&#45;&#45;6 -->\n",
       "<g id=\"edge19\" class=\"edge\">\n",
       "<title>5&#45;&#45;6</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M110.57,-50.71C110.57,-60.91 110.57,-75.94 110.57,-86.13\"/>\n",
       "</g>\n",
       "<!-- 1 -->\n",
       "<g id=\"node9\" class=\"node\">\n",
       "<title>1</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"21.6,-97.2 16.2,-108 5.4,-108 0,-97.2 5.4,-86.4 16.2,-86.4 21.6,-97.2\"/>\n",
       "<text text-anchor=\"middle\" x=\"10.8\" y=\"-93.32\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">1</text>\n",
       "</g>\n",
       "<!-- 3 -->\n",
       "<g id=\"node13\" class=\"node\">\n",
       "<title>3</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"71.48,-126 66.08,-136.8 55.28,-136.8 49.88,-126 55.28,-115.2 66.08,-115.2 71.48,-126\"/>\n",
       "<text text-anchor=\"middle\" x=\"60.68\" y=\"-122.12\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">3</text>\n",
       "</g>\n",
       "<!-- 1&#45;&#45;3 -->\n",
       "<g id=\"edge29\" class=\"edge\">\n",
       "<title>1&#45;&#45;3</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M19.49,-102.22C28.64,-107.5 42.98,-115.78 52.09,-121.04\"/>\n",
       "</g>\n",
       "<!-- 37 -->\n",
       "<g id=\"node10\" class=\"node\">\n",
       "<title>37</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"520.43,-270 515.03,-280.8 504.23,-280.8 498.83,-270 504.23,-259.2 515.03,-259.2 520.43,-270\"/>\n",
       "<text text-anchor=\"middle\" x=\"509.63\" y=\"-266.13\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">37</text>\n",
       "</g>\n",
       "<!-- 0 -->\n",
       "<g id=\"node11\" class=\"node\">\n",
       "<title>0</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"21.6,-39.6 16.2,-50.4 5.4,-50.4 0,-39.6 5.4,-28.8 16.2,-28.8 21.6,-39.6\"/>\n",
       "<text text-anchor=\"middle\" x=\"10.8\" y=\"-35.72\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">0</text>\n",
       "</g>\n",
       "<!-- 0&#45;&#45;1 -->\n",
       "<g id=\"edge30\" class=\"edge\">\n",
       "<title>0&#45;&#45;1</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M10.8,-50.71C10.8,-60.91 10.8,-75.94 10.8,-86.13\"/>\n",
       "</g>\n",
       "<!-- 2 -->\n",
       "<g id=\"node24\" class=\"node\">\n",
       "<title>2</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"71.48,-10.8 66.08,-21.6 55.28,-21.6 49.88,-10.8 55.28,0 66.08,0 71.48,-10.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"60.68\" y=\"-6.93\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">2</text>\n",
       "</g>\n",
       "<!-- 0&#45;&#45;2 -->\n",
       "<g id=\"edge13\" class=\"edge\">\n",
       "<title>0&#45;&#45;2</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M19.49,-34.58C28.64,-29.3 42.98,-21.02 52.09,-15.76\"/>\n",
       "</g>\n",
       "<!-- 7 -->\n",
       "<g id=\"node12\" class=\"node\">\n",
       "<title>7</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"121.37,-212.4 115.97,-223.2 105.17,-223.2 99.77,-212.4 105.17,-201.6 115.97,-201.6 121.37,-212.4\"/>\n",
       "<text text-anchor=\"middle\" x=\"110.57\" y=\"-208.53\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">7</text>\n",
       "</g>\n",
       "<!-- 7&#45;&#45;8 -->\n",
       "<g id=\"edge2\" class=\"edge\">\n",
       "<title>7&#45;&#45;8</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M110.57,-223.51C110.57,-233.71 110.57,-248.74 110.57,-258.93\"/>\n",
       "</g>\n",
       "<!-- 4 -->\n",
       "<g id=\"node16\" class=\"node\">\n",
       "<title>4</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"71.48,-183.6 66.08,-194.4 55.28,-194.4 49.88,-183.6 55.28,-172.8 66.08,-172.8 71.48,-183.6\"/>\n",
       "<text text-anchor=\"middle\" x=\"60.68\" y=\"-179.73\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">4</text>\n",
       "</g>\n",
       "<!-- 3&#45;&#45;4 -->\n",
       "<g id=\"edge34\" class=\"edge\">\n",
       "<title>3&#45;&#45;4</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M60.68,-137.11C60.68,-147.31 60.68,-162.34 60.68,-172.53\"/>\n",
       "</g>\n",
       "<!-- 3&#45;&#45;6 -->\n",
       "<g id=\"edge18\" class=\"edge\">\n",
       "<title>3&#45;&#45;6</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M69.37,-120.98C78.53,-115.7 92.86,-107.42 101.98,-102.16\"/>\n",
       "</g>\n",
       "<!-- 18 -->\n",
       "<g id=\"node14\" class=\"node\">\n",
       "<title>18</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"271.02,-126 265.62,-136.8 254.82,-136.8 249.42,-126 254.82,-115.2 265.62,-115.2 271.02,-126\"/>\n",
       "<text text-anchor=\"middle\" x=\"260.22\" y=\"-122.12\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">18</text>\n",
       "</g>\n",
       "<!-- 18&#45;&#45;19 -->\n",
       "<g id=\"edge26\" class=\"edge\">\n",
       "<title>18&#45;&#45;19</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M260.22,-137.11C260.22,-147.31 260.22,-162.34 260.22,-172.53\"/>\n",
       "</g>\n",
       "<!-- 22 -->\n",
       "<g id=\"node25\" class=\"node\">\n",
       "<title>22</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"320.9,-97.2 315.5,-108 304.7,-108 299.3,-97.2 304.7,-86.4 315.5,-86.4 320.9,-97.2\"/>\n",
       "<text text-anchor=\"middle\" x=\"310.1\" y=\"-93.32\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">22</text>\n",
       "</g>\n",
       "<!-- 18&#45;&#45;22 -->\n",
       "<g id=\"edge24\" class=\"edge\">\n",
       "<title>18&#45;&#45;22</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M268.9,-120.98C278.06,-115.7 292.39,-107.42 301.51,-102.16\"/>\n",
       "</g>\n",
       "<!-- 13 -->\n",
       "<g id=\"node15\" class=\"node\">\n",
       "<title>13</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"221.13,-39.6 215.73,-50.4 204.93,-50.4 199.53,-39.6 204.93,-28.8 215.73,-28.8 221.13,-39.6\"/>\n",
       "<text text-anchor=\"middle\" x=\"210.33\" y=\"-35.72\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">13</text>\n",
       "</g>\n",
       "<!-- 13&#45;&#45;14 -->\n",
       "<g id=\"edge45\" class=\"edge\">\n",
       "<title>13&#45;&#45;14</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M210.33,-50.71C210.33,-60.91 210.33,-75.94 210.33,-86.13\"/>\n",
       "</g>\n",
       "<!-- 13&#45;&#45;9 -->\n",
       "<g id=\"edge20\" class=\"edge\">\n",
       "<title>13&#45;&#45;9</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M201.64,-34.58C192.49,-29.3 178.16,-21.02 169.04,-15.76\"/>\n",
       "</g>\n",
       "<!-- 17 -->\n",
       "<g id=\"node29\" class=\"node\">\n",
       "<title>17</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"271.02,-10.8 265.62,-21.6 254.82,-21.6 249.42,-10.8 254.82,0 265.62,0 271.02,-10.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"260.22\" y=\"-6.93\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">17</text>\n",
       "</g>\n",
       "<!-- 13&#45;&#45;17 -->\n",
       "<g id=\"edge37\" class=\"edge\">\n",
       "<title>13&#45;&#45;17</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M219.02,-34.58C228.18,-29.3 242.51,-21.02 251.63,-15.76\"/>\n",
       "</g>\n",
       "<!-- 4&#45;&#45;7 -->\n",
       "<g id=\"edge23\" class=\"edge\">\n",
       "<title>4&#45;&#45;7</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M69.37,-188.62C78.53,-193.9 92.86,-202.18 101.98,-207.44\"/>\n",
       "</g>\n",
       "<!-- 34 -->\n",
       "<g id=\"node17\" class=\"node\">\n",
       "<title>34</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"470.55,-183.6 465.15,-194.4 454.35,-194.4 448.95,-183.6 454.35,-172.8 465.15,-172.8 470.55,-183.6\"/>\n",
       "<text text-anchor=\"middle\" x=\"459.75\" y=\"-179.73\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">34</text>\n",
       "</g>\n",
       "<!-- 36 -->\n",
       "<g id=\"node36\" class=\"node\">\n",
       "<title>36</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"520.43,-212.4 515.03,-223.2 504.23,-223.2 498.83,-212.4 504.23,-201.6 515.03,-201.6 520.43,-212.4\"/>\n",
       "<text text-anchor=\"middle\" x=\"509.63\" y=\"-208.53\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">36</text>\n",
       "</g>\n",
       "<!-- 34&#45;&#45;36 -->\n",
       "<g id=\"edge32\" class=\"edge\">\n",
       "<title>34&#45;&#45;36</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M468.44,-188.62C477.59,-193.9 491.92,-202.18 501.04,-207.44\"/>\n",
       "</g>\n",
       "<!-- 14&#45;&#45;18 -->\n",
       "<g id=\"edge25\" class=\"edge\">\n",
       "<title>14&#45;&#45;18</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M219.02,-102.22C228.18,-107.5 242.51,-115.78 251.63,-121.04\"/>\n",
       "</g>\n",
       "<!-- 20&#45;&#45;24 -->\n",
       "<g id=\"edge27\" class=\"edge\">\n",
       "<title>20&#45;&#45;24</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M268.9,-293.78C278.06,-288.5 292.39,-280.22 301.51,-274.96\"/>\n",
       "</g>\n",
       "<!-- 28 -->\n",
       "<g id=\"node35\" class=\"node\">\n",
       "<title>28</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"370.78,-298.8 365.38,-309.6 354.58,-309.6 349.18,-298.8 354.58,-288 365.38,-288 370.78,-298.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"359.98\" y=\"-294.93\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">28</text>\n",
       "</g>\n",
       "<!-- 24&#45;&#45;28 -->\n",
       "<g id=\"edge28\" class=\"edge\">\n",
       "<title>24&#45;&#45;28</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M318.79,-275.02C327.94,-280.3 342.27,-288.58 351.39,-293.84\"/>\n",
       "</g>\n",
       "<!-- 33 -->\n",
       "<g id=\"node21\" class=\"node\">\n",
       "<title>33</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"470.55,-126 465.15,-136.8 454.35,-136.8 448.95,-126 454.35,-115.2 465.15,-115.2 470.55,-126\"/>\n",
       "<text text-anchor=\"middle\" x=\"459.75\" y=\"-122.12\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">33</text>\n",
       "</g>\n",
       "<!-- 33&#45;&#45;34 -->\n",
       "<g id=\"edge33\" class=\"edge\">\n",
       "<title>33&#45;&#45;34</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M459.75,-137.11C459.75,-147.31 459.75,-162.34 459.75,-172.53\"/>\n",
       "</g>\n",
       "<!-- 19&#45;&#45;23 -->\n",
       "<g id=\"edge7\" class=\"edge\">\n",
       "<title>19&#45;&#45;23</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M268.9,-188.62C278.06,-193.9 292.39,-202.18 301.51,-207.44\"/>\n",
       "</g>\n",
       "<!-- 2&#45;&#45;5 -->\n",
       "<g id=\"edge12\" class=\"edge\">\n",
       "<title>2&#45;&#45;5</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M69.37,-15.82C78.53,-21.1 92.86,-29.38 101.98,-34.64\"/>\n",
       "</g>\n",
       "<!-- 26 -->\n",
       "<g id=\"node32\" class=\"node\">\n",
       "<title>26</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"370.78,-126 365.38,-136.8 354.58,-136.8 349.18,-126 354.58,-115.2 365.38,-115.2 370.78,-126\"/>\n",
       "<text text-anchor=\"middle\" x=\"359.98\" y=\"-122.12\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">26</text>\n",
       "</g>\n",
       "<!-- 22&#45;&#45;26 -->\n",
       "<g id=\"edge49\" class=\"edge\">\n",
       "<title>22&#45;&#45;26</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M318.79,-102.22C327.94,-107.5 342.27,-115.78 351.39,-121.04\"/>\n",
       "</g>\n",
       "<!-- 21 -->\n",
       "<g id=\"node27\" class=\"node\">\n",
       "<title>21</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"320.9,-39.6 315.5,-50.4 304.7,-50.4 299.3,-39.6 304.7,-28.8 315.5,-28.8 320.9,-39.6\"/>\n",
       "<text text-anchor=\"middle\" x=\"310.1\" y=\"-35.72\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">21</text>\n",
       "</g>\n",
       "<!-- 21&#45;&#45;22 -->\n",
       "<g id=\"edge47\" class=\"edge\">\n",
       "<title>21&#45;&#45;22</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M310.1,-50.71C310.1,-60.91 310.1,-75.94 310.1,-86.13\"/>\n",
       "</g>\n",
       "<!-- 25 -->\n",
       "<g id=\"node28\" class=\"node\">\n",
       "<title>25</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"370.78,-10.8 365.38,-21.6 354.58,-21.6 349.18,-10.8 354.58,0 365.38,0 370.78,-10.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"359.98\" y=\"-6.93\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">25</text>\n",
       "</g>\n",
       "<!-- 21&#45;&#45;25 -->\n",
       "<g id=\"edge35\" class=\"edge\">\n",
       "<title>21&#45;&#45;25</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M318.79,-34.58C327.94,-29.3 342.27,-21.02 351.39,-15.76\"/>\n",
       "</g>\n",
       "<!-- 29 -->\n",
       "<g id=\"node37\" class=\"node\">\n",
       "<title>29</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"420.66,-39.6 415.26,-50.4 404.46,-50.4 399.06,-39.6 404.46,-28.8 415.26,-28.8 420.66,-39.6\"/>\n",
       "<text text-anchor=\"middle\" x=\"409.86\" y=\"-35.72\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">29</text>\n",
       "</g>\n",
       "<!-- 25&#45;&#45;29 -->\n",
       "<g id=\"edge36\" class=\"edge\">\n",
       "<title>25&#45;&#45;29</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M368.67,-15.82C377.83,-21.1 392.16,-29.38 401.28,-34.64\"/>\n",
       "</g>\n",
       "<!-- 17&#45;&#45;21 -->\n",
       "<g id=\"edge38\" class=\"edge\">\n",
       "<title>17&#45;&#45;21</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M268.9,-15.82C278.06,-21.1 292.39,-29.38 301.51,-34.64\"/>\n",
       "</g>\n",
       "<!-- 35 -->\n",
       "<g id=\"node30\" class=\"node\">\n",
       "<title>35</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"470.55,-298.8 465.15,-309.6 454.35,-309.6 448.95,-298.8 454.35,-288 465.15,-288 470.55,-298.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"459.75\" y=\"-294.93\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">35</text>\n",
       "</g>\n",
       "<!-- 35&#45;&#45;37 -->\n",
       "<g id=\"edge43\" class=\"edge\">\n",
       "<title>35&#45;&#45;37</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M468.44,-293.78C477.59,-288.5 491.92,-280.22 501.04,-274.96\"/>\n",
       "</g>\n",
       "<!-- 11&#45;&#45;15 -->\n",
       "<g id=\"edge42\" class=\"edge\">\n",
       "<title>11&#45;&#45;15</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M169.14,-188.62C178.29,-193.9 192.62,-202.18 201.74,-207.44\"/>\n",
       "</g>\n",
       "<!-- 11&#45;&#45;7 -->\n",
       "<g id=\"edge22\" class=\"edge\">\n",
       "<title>11&#45;&#45;7</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M151.76,-188.62C142.6,-193.9 128.27,-202.18 119.16,-207.44\"/>\n",
       "</g>\n",
       "<!-- 26&#45;&#45;27 -->\n",
       "<g id=\"edge40\" class=\"edge\">\n",
       "<title>26&#45;&#45;27</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M359.98,-137.11C359.98,-147.31 359.98,-162.34 359.98,-172.53\"/>\n",
       "</g>\n",
       "<!-- 30 -->\n",
       "<g id=\"node38\" class=\"node\">\n",
       "<title>30</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"420.66,-97.2 415.26,-108 404.46,-108 399.06,-97.2 404.46,-86.4 415.26,-86.4 420.66,-97.2\"/>\n",
       "<text text-anchor=\"middle\" x=\"409.86\" y=\"-93.32\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">30</text>\n",
       "</g>\n",
       "<!-- 26&#45;&#45;30 -->\n",
       "<g id=\"edge3\" class=\"edge\">\n",
       "<title>26&#45;&#45;30</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M368.67,-120.98C377.83,-115.7 392.16,-107.42 401.28,-102.16\"/>\n",
       "</g>\n",
       "<!-- 31&#45;&#45;34 -->\n",
       "<g id=\"edge31\" class=\"edge\">\n",
       "<title>31&#45;&#45;34</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M418.55,-207.38C427.71,-202.1 442.04,-193.82 451.16,-188.56\"/>\n",
       "</g>\n",
       "<!-- 32 -->\n",
       "<g id=\"node34\" class=\"node\">\n",
       "<title>32</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"420.66,-270 415.26,-280.8 404.46,-280.8 399.06,-270 404.46,-259.2 415.26,-259.2 420.66,-270\"/>\n",
       "<text text-anchor=\"middle\" x=\"409.86\" y=\"-266.13\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">32</text>\n",
       "</g>\n",
       "<!-- 31&#45;&#45;32 -->\n",
       "<g id=\"edge16\" class=\"edge\">\n",
       "<title>31&#45;&#45;32</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M409.86,-223.51C409.86,-233.71 409.86,-248.74 409.86,-258.93\"/>\n",
       "</g>\n",
       "<!-- 32&#45;&#45;35 -->\n",
       "<g id=\"edge15\" class=\"edge\">\n",
       "<title>32&#45;&#45;35</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M418.55,-275.02C427.71,-280.3 442.04,-288.58 451.16,-293.84\"/>\n",
       "</g>\n",
       "<!-- 28&#45;&#45;32 -->\n",
       "<g id=\"edge14\" class=\"edge\">\n",
       "<title>28&#45;&#45;32</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M368.67,-293.78C377.83,-288.5 392.16,-280.22 401.28,-274.96\"/>\n",
       "</g>\n",
       "<!-- 36&#45;&#45;37 -->\n",
       "<g id=\"edge44\" class=\"edge\">\n",
       "<title>36&#45;&#45;37</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M509.63,-223.51C509.63,-233.71 509.63,-248.74 509.63,-258.93\"/>\n",
       "</g>\n",
       "<!-- 29&#45;&#45;30 -->\n",
       "<g id=\"edge5\" class=\"edge\">\n",
       "<title>29&#45;&#45;30</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M409.86,-50.71C409.86,-60.91 409.86,-75.94 409.86,-86.13\"/>\n",
       "</g>\n",
       "<!-- 30&#45;&#45;33 -->\n",
       "<g id=\"edge4\" class=\"edge\">\n",
       "<title>30&#45;&#45;33</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M418.55,-102.22C427.71,-107.5 442.04,-115.78 451.16,-121.04\"/>\n",
       "</g>\n",
       "</g>\n",
       "</svg>\n"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#% html\n",
    "$g.dot(\n",
    "    background => '#1F1F1F',\n",
    "    :node-labels,\n",
    "    node-width => .3,\n",
    "    node-height => .3,\n",
    "    node-shape => 'hexagon',\n",
    "    node-color => 'Ivory',\n",
    "    node-penwidth => 1,\n",
    "    node-fill-color => 'SlateBlue',\n",
    "    node-font-size => 10,\n",
    "    edge-thickness => 4,\n",
    "    engine => 'neato', \n",
    "    graph-size => (8,8)\n",
    "):svg"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Remark:** The adverb \":svg\" specifies that the method `dot` to use Graphviz script specified with \":engine\" via Raku's `run`."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "-----\n",
    "\n",
    "# Using preamble"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In some cases it is better to write the graph visualization specs directly using the DOT language. \n",
    "Here is an example:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       " \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Generated by graphviz version 11.0.0 (20240428.1522)\n",
       " -->\n",
       "<!-- Pages: 1 -->\n",
       "<svg width=\"528pt\" height=\"348pt\"\n",
       " viewBox=\"0.00 0.00 528.43 348.10\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       "<g id=\"graph0\" class=\"graph\" transform=\"scale(1 1) rotate(0) translate(4 344.1)\">\n",
       "<polygon fill=\"#1f1f1f\" stroke=\"none\" points=\"-4,4 -4,-344.1 524.43,-344.1 524.43,4 -4,4\"/>\n",
       "<text text-anchor=\"middle\" x=\"260.22\" y=\"-317.1\" font-family=\"Times,serif\" font-size=\"20.00\" fill=\"Gray\">Hexagonal grid</text>\n",
       "<!-- 8 -->\n",
       "<g id=\"node1\" class=\"node\">\n",
       "<title>8</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"121.37,-270 115.97,-280.8 105.17,-280.8 99.77,-270 105.17,-259.2 115.97,-259.2 121.37,-270\"/>\n",
       "<text text-anchor=\"middle\" x=\"110.57\" y=\"-265.73\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">8</text>\n",
       "</g>\n",
       "<!-- 12 -->\n",
       "<g id=\"node2\" class=\"node\">\n",
       "<title>12</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"171.25,-298.8 165.85,-309.6 155.05,-309.6 149.65,-298.8 155.05,-288 165.85,-288 171.25,-298.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"160.45\" y=\"-294.53\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">12</text>\n",
       "</g>\n",
       "<!-- 12&#45;&#45;8 -->\n",
       "<g id=\"edge1\" class=\"edge\">\n",
       "<title>12&#45;&#45;8</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M151.76,-293.78C142.6,-288.5 128.27,-280.22 119.16,-274.96\"/>\n",
       "</g>\n",
       "<!-- 16 -->\n",
       "<g id=\"node4\" class=\"node\">\n",
       "<title>16</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"221.13,-270 215.73,-280.8 204.93,-280.8 199.53,-270 204.93,-259.2 215.73,-259.2 221.13,-270\"/>\n",
       "<text text-anchor=\"middle\" x=\"210.33\" y=\"-265.73\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">16</text>\n",
       "</g>\n",
       "<!-- 12&#45;&#45;16 -->\n",
       "<g id=\"edge11\" class=\"edge\">\n",
       "<title>12&#45;&#45;16</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M169.14,-293.78C178.29,-288.5 192.62,-280.22 201.74,-274.96\"/>\n",
       "</g>\n",
       "<!-- 15 -->\n",
       "<g id=\"node3\" class=\"node\">\n",
       "<title>15</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"221.13,-212.4 215.73,-223.2 204.93,-223.2 199.53,-212.4 204.93,-201.6 215.73,-201.6 221.13,-212.4\"/>\n",
       "<text text-anchor=\"middle\" x=\"210.33\" y=\"-208.13\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">15</text>\n",
       "</g>\n",
       "<!-- 15&#45;&#45;16 -->\n",
       "<g id=\"edge10\" class=\"edge\">\n",
       "<title>15&#45;&#45;16</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M210.33,-223.51C210.33,-233.71 210.33,-248.74 210.33,-258.93\"/>\n",
       "</g>\n",
       "<!-- 19 -->\n",
       "<g id=\"node22\" class=\"node\">\n",
       "<title>19</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"271.02,-183.6 265.62,-194.4 254.82,-194.4 249.42,-183.6 254.82,-172.8 265.62,-172.8 271.02,-183.6\"/>\n",
       "<text text-anchor=\"middle\" x=\"260.22\" y=\"-179.33\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">19</text>\n",
       "</g>\n",
       "<!-- 15&#45;&#45;19 -->\n",
       "<g id=\"edge41\" class=\"edge\">\n",
       "<title>15&#45;&#45;19</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M219.02,-207.38C228.18,-202.1 242.51,-193.82 251.63,-188.56\"/>\n",
       "</g>\n",
       "<!-- 20 -->\n",
       "<g id=\"node19\" class=\"node\">\n",
       "<title>20</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"271.02,-298.8 265.62,-309.6 254.82,-309.6 249.42,-298.8 254.82,-288 265.62,-288 271.02,-298.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"260.22\" y=\"-294.53\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">20</text>\n",
       "</g>\n",
       "<!-- 16&#45;&#45;20 -->\n",
       "<g id=\"edge9\" class=\"edge\">\n",
       "<title>16&#45;&#45;20</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M219.02,-275.02C228.18,-280.3 242.51,-288.58 251.63,-293.84\"/>\n",
       "</g>\n",
       "<!-- 10 -->\n",
       "<g id=\"node5\" class=\"node\">\n",
       "<title>10</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"171.25,-126 165.85,-136.8 155.05,-136.8 149.65,-126 155.05,-115.2 165.85,-115.2 171.25,-126\"/>\n",
       "<text text-anchor=\"middle\" x=\"160.45\" y=\"-121.72\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">10</text>\n",
       "</g>\n",
       "<!-- 14 -->\n",
       "<g id=\"node18\" class=\"node\">\n",
       "<title>14</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"221.13,-97.2 215.73,-108 204.93,-108 199.53,-97.2 204.93,-86.4 215.73,-86.4 221.13,-97.2\"/>\n",
       "<text text-anchor=\"middle\" x=\"210.33\" y=\"-92.92\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">14</text>\n",
       "</g>\n",
       "<!-- 10&#45;&#45;14 -->\n",
       "<g id=\"edge46\" class=\"edge\">\n",
       "<title>10&#45;&#45;14</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M169.14,-120.98C178.29,-115.7 192.62,-107.42 201.74,-102.16\"/>\n",
       "</g>\n",
       "<!-- 6 -->\n",
       "<g id=\"node26\" class=\"node\">\n",
       "<title>6</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"121.37,-97.2 115.97,-108 105.17,-108 99.77,-97.2 105.17,-86.4 115.97,-86.4 121.37,-97.2\"/>\n",
       "<text text-anchor=\"middle\" x=\"110.57\" y=\"-92.92\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">6</text>\n",
       "</g>\n",
       "<!-- 10&#45;&#45;6 -->\n",
       "<g id=\"edge17\" class=\"edge\">\n",
       "<title>10&#45;&#45;6</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M151.76,-120.98C142.6,-115.7 128.27,-107.42 119.16,-102.16\"/>\n",
       "</g>\n",
       "<!-- 11 -->\n",
       "<g id=\"node31\" class=\"node\">\n",
       "<title>11</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"171.25,-183.6 165.85,-194.4 155.05,-194.4 149.65,-183.6 155.05,-172.8 165.85,-172.8 171.25,-183.6\"/>\n",
       "<text text-anchor=\"middle\" x=\"160.45\" y=\"-179.33\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">11</text>\n",
       "</g>\n",
       "<!-- 10&#45;&#45;11 -->\n",
       "<g id=\"edge48\" class=\"edge\">\n",
       "<title>10&#45;&#45;11</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M160.45,-137.11C160.45,-147.31 160.45,-162.34 160.45,-172.53\"/>\n",
       "</g>\n",
       "<!-- 23 -->\n",
       "<g id=\"node6\" class=\"node\">\n",
       "<title>23</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"320.9,-212.4 315.5,-223.2 304.7,-223.2 299.3,-212.4 304.7,-201.6 315.5,-201.6 320.9,-212.4\"/>\n",
       "<text text-anchor=\"middle\" x=\"310.1\" y=\"-208.13\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">23</text>\n",
       "</g>\n",
       "<!-- 27 -->\n",
       "<g id=\"node7\" class=\"node\">\n",
       "<title>27</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"370.78,-183.6 365.38,-194.4 354.58,-194.4 349.18,-183.6 354.58,-172.8 365.38,-172.8 370.78,-183.6\"/>\n",
       "<text text-anchor=\"middle\" x=\"359.98\" y=\"-179.33\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">27</text>\n",
       "</g>\n",
       "<!-- 23&#45;&#45;27 -->\n",
       "<g id=\"edge6\" class=\"edge\">\n",
       "<title>23&#45;&#45;27</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M318.79,-207.38C327.94,-202.1 342.27,-193.82 351.39,-188.56\"/>\n",
       "</g>\n",
       "<!-- 24 -->\n",
       "<g id=\"node20\" class=\"node\">\n",
       "<title>24</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"320.9,-270 315.5,-280.8 304.7,-280.8 299.3,-270 304.7,-259.2 315.5,-259.2 320.9,-270\"/>\n",
       "<text text-anchor=\"middle\" x=\"310.1\" y=\"-265.73\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">24</text>\n",
       "</g>\n",
       "<!-- 23&#45;&#45;24 -->\n",
       "<g id=\"edge8\" class=\"edge\">\n",
       "<title>23&#45;&#45;24</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M310.1,-223.51C310.1,-233.71 310.1,-248.74 310.1,-258.93\"/>\n",
       "</g>\n",
       "<!-- 31 -->\n",
       "<g id=\"node33\" class=\"node\">\n",
       "<title>31</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"420.66,-212.4 415.26,-223.2 404.46,-223.2 399.06,-212.4 404.46,-201.6 415.26,-201.6 420.66,-212.4\"/>\n",
       "<text text-anchor=\"middle\" x=\"409.86\" y=\"-208.13\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">31</text>\n",
       "</g>\n",
       "<!-- 27&#45;&#45;31 -->\n",
       "<g id=\"edge39\" class=\"edge\">\n",
       "<title>27&#45;&#45;31</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M368.67,-188.62C377.83,-193.9 392.16,-202.18 401.28,-207.44\"/>\n",
       "</g>\n",
       "<!-- 5 -->\n",
       "<g id=\"node8\" class=\"node\">\n",
       "<title>5</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"121.37,-39.6 115.97,-50.4 105.17,-50.4 99.77,-39.6 105.17,-28.8 115.97,-28.8 121.37,-39.6\"/>\n",
       "<text text-anchor=\"middle\" x=\"110.57\" y=\"-35.32\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">5</text>\n",
       "</g>\n",
       "<!-- 9 -->\n",
       "<g id=\"node23\" class=\"node\">\n",
       "<title>9</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"171.25,-10.8 165.85,-21.6 155.05,-21.6 149.65,-10.8 155.05,0 165.85,0 171.25,-10.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"160.45\" y=\"-6.53\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">9</text>\n",
       "</g>\n",
       "<!-- 5&#45;&#45;9 -->\n",
       "<g id=\"edge21\" class=\"edge\">\n",
       "<title>5&#45;&#45;9</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M119.26,-34.58C128.41,-29.3 142.74,-21.02 151.86,-15.76\"/>\n",
       "</g>\n",
       "<!-- 5&#45;&#45;6 -->\n",
       "<g id=\"edge19\" class=\"edge\">\n",
       "<title>5&#45;&#45;6</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M110.57,-50.71C110.57,-60.91 110.57,-75.94 110.57,-86.13\"/>\n",
       "</g>\n",
       "<!-- 1 -->\n",
       "<g id=\"node9\" class=\"node\">\n",
       "<title>1</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"21.6,-97.2 16.2,-108 5.4,-108 0,-97.2 5.4,-86.4 16.2,-86.4 21.6,-97.2\"/>\n",
       "<text text-anchor=\"middle\" x=\"10.8\" y=\"-92.92\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">1</text>\n",
       "</g>\n",
       "<!-- 3 -->\n",
       "<g id=\"node13\" class=\"node\">\n",
       "<title>3</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"71.48,-126 66.08,-136.8 55.28,-136.8 49.88,-126 55.28,-115.2 66.08,-115.2 71.48,-126\"/>\n",
       "<text text-anchor=\"middle\" x=\"60.68\" y=\"-121.72\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">3</text>\n",
       "</g>\n",
       "<!-- 1&#45;&#45;3 -->\n",
       "<g id=\"edge29\" class=\"edge\">\n",
       "<title>1&#45;&#45;3</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M19.49,-102.22C28.64,-107.5 42.98,-115.78 52.09,-121.04\"/>\n",
       "</g>\n",
       "<!-- 37 -->\n",
       "<g id=\"node10\" class=\"node\">\n",
       "<title>37</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"520.43,-270 515.03,-280.8 504.23,-280.8 498.83,-270 504.23,-259.2 515.03,-259.2 520.43,-270\"/>\n",
       "<text text-anchor=\"middle\" x=\"509.63\" y=\"-265.73\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">37</text>\n",
       "</g>\n",
       "<!-- 0 -->\n",
       "<g id=\"node11\" class=\"node\">\n",
       "<title>0</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"21.6,-39.6 16.2,-50.4 5.4,-50.4 0,-39.6 5.4,-28.8 16.2,-28.8 21.6,-39.6\"/>\n",
       "<text text-anchor=\"middle\" x=\"10.8\" y=\"-35.32\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">0</text>\n",
       "</g>\n",
       "<!-- 0&#45;&#45;1 -->\n",
       "<g id=\"edge30\" class=\"edge\">\n",
       "<title>0&#45;&#45;1</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M10.8,-50.71C10.8,-60.91 10.8,-75.94 10.8,-86.13\"/>\n",
       "</g>\n",
       "<!-- 2 -->\n",
       "<g id=\"node24\" class=\"node\">\n",
       "<title>2</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"71.48,-10.8 66.08,-21.6 55.28,-21.6 49.88,-10.8 55.28,0 66.08,0 71.48,-10.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"60.68\" y=\"-6.53\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">2</text>\n",
       "</g>\n",
       "<!-- 0&#45;&#45;2 -->\n",
       "<g id=\"edge13\" class=\"edge\">\n",
       "<title>0&#45;&#45;2</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M19.49,-34.58C28.64,-29.3 42.98,-21.02 52.09,-15.76\"/>\n",
       "</g>\n",
       "<!-- 7 -->\n",
       "<g id=\"node12\" class=\"node\">\n",
       "<title>7</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"121.37,-212.4 115.97,-223.2 105.17,-223.2 99.77,-212.4 105.17,-201.6 115.97,-201.6 121.37,-212.4\"/>\n",
       "<text text-anchor=\"middle\" x=\"110.57\" y=\"-208.13\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">7</text>\n",
       "</g>\n",
       "<!-- 7&#45;&#45;8 -->\n",
       "<g id=\"edge2\" class=\"edge\">\n",
       "<title>7&#45;&#45;8</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M110.57,-223.51C110.57,-233.71 110.57,-248.74 110.57,-258.93\"/>\n",
       "</g>\n",
       "<!-- 4 -->\n",
       "<g id=\"node16\" class=\"node\">\n",
       "<title>4</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"71.48,-183.6 66.08,-194.4 55.28,-194.4 49.88,-183.6 55.28,-172.8 66.08,-172.8 71.48,-183.6\"/>\n",
       "<text text-anchor=\"middle\" x=\"60.68\" y=\"-179.33\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">4</text>\n",
       "</g>\n",
       "<!-- 3&#45;&#45;4 -->\n",
       "<g id=\"edge34\" class=\"edge\">\n",
       "<title>3&#45;&#45;4</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M60.68,-137.11C60.68,-147.31 60.68,-162.34 60.68,-172.53\"/>\n",
       "</g>\n",
       "<!-- 3&#45;&#45;6 -->\n",
       "<g id=\"edge18\" class=\"edge\">\n",
       "<title>3&#45;&#45;6</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M69.37,-120.98C78.53,-115.7 92.86,-107.42 101.98,-102.16\"/>\n",
       "</g>\n",
       "<!-- 18 -->\n",
       "<g id=\"node14\" class=\"node\">\n",
       "<title>18</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"271.02,-126 265.62,-136.8 254.82,-136.8 249.42,-126 254.82,-115.2 265.62,-115.2 271.02,-126\"/>\n",
       "<text text-anchor=\"middle\" x=\"260.22\" y=\"-121.72\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">18</text>\n",
       "</g>\n",
       "<!-- 18&#45;&#45;19 -->\n",
       "<g id=\"edge26\" class=\"edge\">\n",
       "<title>18&#45;&#45;19</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M260.22,-137.11C260.22,-147.31 260.22,-162.34 260.22,-172.53\"/>\n",
       "</g>\n",
       "<!-- 22 -->\n",
       "<g id=\"node25\" class=\"node\">\n",
       "<title>22</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"320.9,-97.2 315.5,-108 304.7,-108 299.3,-97.2 304.7,-86.4 315.5,-86.4 320.9,-97.2\"/>\n",
       "<text text-anchor=\"middle\" x=\"310.1\" y=\"-92.92\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">22</text>\n",
       "</g>\n",
       "<!-- 18&#45;&#45;22 -->\n",
       "<g id=\"edge24\" class=\"edge\">\n",
       "<title>18&#45;&#45;22</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M268.9,-120.98C278.06,-115.7 292.39,-107.42 301.51,-102.16\"/>\n",
       "</g>\n",
       "<!-- 13 -->\n",
       "<g id=\"node15\" class=\"node\">\n",
       "<title>13</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"221.13,-39.6 215.73,-50.4 204.93,-50.4 199.53,-39.6 204.93,-28.8 215.73,-28.8 221.13,-39.6\"/>\n",
       "<text text-anchor=\"middle\" x=\"210.33\" y=\"-35.32\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">13</text>\n",
       "</g>\n",
       "<!-- 13&#45;&#45;14 -->\n",
       "<g id=\"edge45\" class=\"edge\">\n",
       "<title>13&#45;&#45;14</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M210.33,-50.71C210.33,-60.91 210.33,-75.94 210.33,-86.13\"/>\n",
       "</g>\n",
       "<!-- 13&#45;&#45;9 -->\n",
       "<g id=\"edge20\" class=\"edge\">\n",
       "<title>13&#45;&#45;9</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M201.64,-34.58C192.49,-29.3 178.16,-21.02 169.04,-15.76\"/>\n",
       "</g>\n",
       "<!-- 17 -->\n",
       "<g id=\"node29\" class=\"node\">\n",
       "<title>17</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"271.02,-10.8 265.62,-21.6 254.82,-21.6 249.42,-10.8 254.82,0 265.62,0 271.02,-10.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"260.22\" y=\"-6.53\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">17</text>\n",
       "</g>\n",
       "<!-- 13&#45;&#45;17 -->\n",
       "<g id=\"edge37\" class=\"edge\">\n",
       "<title>13&#45;&#45;17</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M219.02,-34.58C228.18,-29.3 242.51,-21.02 251.63,-15.76\"/>\n",
       "</g>\n",
       "<!-- 4&#45;&#45;7 -->\n",
       "<g id=\"edge23\" class=\"edge\">\n",
       "<title>4&#45;&#45;7</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M69.37,-188.62C78.53,-193.9 92.86,-202.18 101.98,-207.44\"/>\n",
       "</g>\n",
       "<!-- 34 -->\n",
       "<g id=\"node17\" class=\"node\">\n",
       "<title>34</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"470.55,-183.6 465.15,-194.4 454.35,-194.4 448.95,-183.6 454.35,-172.8 465.15,-172.8 470.55,-183.6\"/>\n",
       "<text text-anchor=\"middle\" x=\"459.75\" y=\"-179.33\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">34</text>\n",
       "</g>\n",
       "<!-- 36 -->\n",
       "<g id=\"node36\" class=\"node\">\n",
       "<title>36</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"520.43,-212.4 515.03,-223.2 504.23,-223.2 498.83,-212.4 504.23,-201.6 515.03,-201.6 520.43,-212.4\"/>\n",
       "<text text-anchor=\"middle\" x=\"509.63\" y=\"-208.13\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">36</text>\n",
       "</g>\n",
       "<!-- 34&#45;&#45;36 -->\n",
       "<g id=\"edge32\" class=\"edge\">\n",
       "<title>34&#45;&#45;36</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M468.44,-188.62C477.59,-193.9 491.92,-202.18 501.04,-207.44\"/>\n",
       "</g>\n",
       "<!-- 14&#45;&#45;18 -->\n",
       "<g id=\"edge25\" class=\"edge\">\n",
       "<title>14&#45;&#45;18</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M219.02,-102.22C228.18,-107.5 242.51,-115.78 251.63,-121.04\"/>\n",
       "</g>\n",
       "<!-- 20&#45;&#45;24 -->\n",
       "<g id=\"edge27\" class=\"edge\">\n",
       "<title>20&#45;&#45;24</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M268.9,-293.78C278.06,-288.5 292.39,-280.22 301.51,-274.96\"/>\n",
       "</g>\n",
       "<!-- 28 -->\n",
       "<g id=\"node35\" class=\"node\">\n",
       "<title>28</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"370.78,-298.8 365.38,-309.6 354.58,-309.6 349.18,-298.8 354.58,-288 365.38,-288 370.78,-298.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"359.98\" y=\"-294.53\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">28</text>\n",
       "</g>\n",
       "<!-- 24&#45;&#45;28 -->\n",
       "<g id=\"edge28\" class=\"edge\">\n",
       "<title>24&#45;&#45;28</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M318.79,-275.02C327.94,-280.3 342.27,-288.58 351.39,-293.84\"/>\n",
       "</g>\n",
       "<!-- 33 -->\n",
       "<g id=\"node21\" class=\"node\">\n",
       "<title>33</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"470.55,-126 465.15,-136.8 454.35,-136.8 448.95,-126 454.35,-115.2 465.15,-115.2 470.55,-126\"/>\n",
       "<text text-anchor=\"middle\" x=\"459.75\" y=\"-121.72\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">33</text>\n",
       "</g>\n",
       "<!-- 33&#45;&#45;34 -->\n",
       "<g id=\"edge33\" class=\"edge\">\n",
       "<title>33&#45;&#45;34</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M459.75,-137.11C459.75,-147.31 459.75,-162.34 459.75,-172.53\"/>\n",
       "</g>\n",
       "<!-- 19&#45;&#45;23 -->\n",
       "<g id=\"edge7\" class=\"edge\">\n",
       "<title>19&#45;&#45;23</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M268.9,-188.62C278.06,-193.9 292.39,-202.18 301.51,-207.44\"/>\n",
       "</g>\n",
       "<!-- 2&#45;&#45;5 -->\n",
       "<g id=\"edge12\" class=\"edge\">\n",
       "<title>2&#45;&#45;5</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M69.37,-15.82C78.53,-21.1 92.86,-29.38 101.98,-34.64\"/>\n",
       "</g>\n",
       "<!-- 26 -->\n",
       "<g id=\"node32\" class=\"node\">\n",
       "<title>26</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"370.78,-126 365.38,-136.8 354.58,-136.8 349.18,-126 354.58,-115.2 365.38,-115.2 370.78,-126\"/>\n",
       "<text text-anchor=\"middle\" x=\"359.98\" y=\"-121.72\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">26</text>\n",
       "</g>\n",
       "<!-- 22&#45;&#45;26 -->\n",
       "<g id=\"edge49\" class=\"edge\">\n",
       "<title>22&#45;&#45;26</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M318.79,-102.22C327.94,-107.5 342.27,-115.78 351.39,-121.04\"/>\n",
       "</g>\n",
       "<!-- 21 -->\n",
       "<g id=\"node27\" class=\"node\">\n",
       "<title>21</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"320.9,-39.6 315.5,-50.4 304.7,-50.4 299.3,-39.6 304.7,-28.8 315.5,-28.8 320.9,-39.6\"/>\n",
       "<text text-anchor=\"middle\" x=\"310.1\" y=\"-35.32\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">21</text>\n",
       "</g>\n",
       "<!-- 21&#45;&#45;22 -->\n",
       "<g id=\"edge47\" class=\"edge\">\n",
       "<title>21&#45;&#45;22</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M310.1,-50.71C310.1,-60.91 310.1,-75.94 310.1,-86.13\"/>\n",
       "</g>\n",
       "<!-- 25 -->\n",
       "<g id=\"node28\" class=\"node\">\n",
       "<title>25</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"370.78,-10.8 365.38,-21.6 354.58,-21.6 349.18,-10.8 354.58,0 365.38,0 370.78,-10.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"359.98\" y=\"-6.53\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">25</text>\n",
       "</g>\n",
       "<!-- 21&#45;&#45;25 -->\n",
       "<g id=\"edge35\" class=\"edge\">\n",
       "<title>21&#45;&#45;25</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M318.79,-34.58C327.94,-29.3 342.27,-21.02 351.39,-15.76\"/>\n",
       "</g>\n",
       "<!-- 29 -->\n",
       "<g id=\"node37\" class=\"node\">\n",
       "<title>29</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"420.66,-39.6 415.26,-50.4 404.46,-50.4 399.06,-39.6 404.46,-28.8 415.26,-28.8 420.66,-39.6\"/>\n",
       "<text text-anchor=\"middle\" x=\"409.86\" y=\"-35.32\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">29</text>\n",
       "</g>\n",
       "<!-- 25&#45;&#45;29 -->\n",
       "<g id=\"edge36\" class=\"edge\">\n",
       "<title>25&#45;&#45;29</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M368.67,-15.82C377.83,-21.1 392.16,-29.38 401.28,-34.64\"/>\n",
       "</g>\n",
       "<!-- 17&#45;&#45;21 -->\n",
       "<g id=\"edge38\" class=\"edge\">\n",
       "<title>17&#45;&#45;21</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M268.9,-15.82C278.06,-21.1 292.39,-29.38 301.51,-34.64\"/>\n",
       "</g>\n",
       "<!-- 35 -->\n",
       "<g id=\"node30\" class=\"node\">\n",
       "<title>35</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"470.55,-298.8 465.15,-309.6 454.35,-309.6 448.95,-298.8 454.35,-288 465.15,-288 470.55,-298.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"459.75\" y=\"-294.53\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">35</text>\n",
       "</g>\n",
       "<!-- 35&#45;&#45;37 -->\n",
       "<g id=\"edge43\" class=\"edge\">\n",
       "<title>35&#45;&#45;37</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M468.44,-293.78C477.59,-288.5 491.92,-280.22 501.04,-274.96\"/>\n",
       "</g>\n",
       "<!-- 11&#45;&#45;15 -->\n",
       "<g id=\"edge42\" class=\"edge\">\n",
       "<title>11&#45;&#45;15</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M169.14,-188.62C178.29,-193.9 192.62,-202.18 201.74,-207.44\"/>\n",
       "</g>\n",
       "<!-- 11&#45;&#45;7 -->\n",
       "<g id=\"edge22\" class=\"edge\">\n",
       "<title>11&#45;&#45;7</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M151.76,-188.62C142.6,-193.9 128.27,-202.18 119.16,-207.44\"/>\n",
       "</g>\n",
       "<!-- 26&#45;&#45;27 -->\n",
       "<g id=\"edge40\" class=\"edge\">\n",
       "<title>26&#45;&#45;27</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M359.98,-137.11C359.98,-147.31 359.98,-162.34 359.98,-172.53\"/>\n",
       "</g>\n",
       "<!-- 30 -->\n",
       "<g id=\"node38\" class=\"node\">\n",
       "<title>30</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"420.66,-97.2 415.26,-108 404.46,-108 399.06,-97.2 404.46,-86.4 415.26,-86.4 420.66,-97.2\"/>\n",
       "<text text-anchor=\"middle\" x=\"409.86\" y=\"-92.92\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">30</text>\n",
       "</g>\n",
       "<!-- 26&#45;&#45;30 -->\n",
       "<g id=\"edge3\" class=\"edge\">\n",
       "<title>26&#45;&#45;30</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M368.67,-120.98C377.83,-115.7 392.16,-107.42 401.28,-102.16\"/>\n",
       "</g>\n",
       "<!-- 31&#45;&#45;34 -->\n",
       "<g id=\"edge31\" class=\"edge\">\n",
       "<title>31&#45;&#45;34</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M418.55,-207.38C427.71,-202.1 442.04,-193.82 451.16,-188.56\"/>\n",
       "</g>\n",
       "<!-- 32 -->\n",
       "<g id=\"node34\" class=\"node\">\n",
       "<title>32</title>\n",
       "<polygon fill=\"SlateBlue\" stroke=\"Ivory\" points=\"420.66,-270 415.26,-280.8 404.46,-280.8 399.06,-270 404.46,-259.2 415.26,-259.2 420.66,-270\"/>\n",
       "<text text-anchor=\"middle\" x=\"409.86\" y=\"-265.73\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">32</text>\n",
       "</g>\n",
       "<!-- 31&#45;&#45;32 -->\n",
       "<g id=\"edge16\" class=\"edge\">\n",
       "<title>31&#45;&#45;32</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M409.86,-223.51C409.86,-233.71 409.86,-248.74 409.86,-258.93\"/>\n",
       "</g>\n",
       "<!-- 32&#45;&#45;35 -->\n",
       "<g id=\"edge15\" class=\"edge\">\n",
       "<title>32&#45;&#45;35</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M418.55,-275.02C427.71,-280.3 442.04,-288.58 451.16,-293.84\"/>\n",
       "</g>\n",
       "<!-- 28&#45;&#45;32 -->\n",
       "<g id=\"edge14\" class=\"edge\">\n",
       "<title>28&#45;&#45;32</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M368.67,-293.78C377.83,-288.5 392.16,-280.22 401.28,-274.96\"/>\n",
       "</g>\n",
       "<!-- 36&#45;&#45;37 -->\n",
       "<g id=\"edge44\" class=\"edge\">\n",
       "<title>36&#45;&#45;37</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M509.63,-223.51C509.63,-233.71 509.63,-248.74 509.63,-258.93\"/>\n",
       "</g>\n",
       "<!-- 29&#45;&#45;30 -->\n",
       "<g id=\"edge5\" class=\"edge\">\n",
       "<title>29&#45;&#45;30</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M409.86,-50.71C409.86,-60.91 409.86,-75.94 409.86,-86.13\"/>\n",
       "</g>\n",
       "<!-- 30&#45;&#45;33 -->\n",
       "<g id=\"edge4\" class=\"edge\">\n",
       "<title>30&#45;&#45;33</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"6\" d=\"M418.55,-102.22C427.71,-107.5 442.04,-115.78 451.16,-121.04\"/>\n",
       "</g>\n",
       "</g>\n",
       "</svg>\n"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#% html\n",
    "my $preamble = q:to/END/;\n",
    "label = \"Hexagonal grid\";\n",
    "labelloc = \"t\";\n",
    "fontsize = 20;\n",
    "fontcolor=\"Gray\";\n",
    "bgcolor = \"#1F1F1F\";\n",
    "node [style=filled, color = \"Ivory\", fillcolor = \"SlateBlue\", fontsize=12, fontcolor = \"Ivory\", shape = \"hexagon\", fixedsize=true, width=0.3, height=0.3];\n",
    "edge [color = \"SteelBlue\", penwidth = 6]\n",
    "END\n",
    "\n",
    "$g.dot(:$preamble, engine => 'neato'):svg"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "-----\n",
    "\n",
    "## Redirection"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this section is shown how to generate the graph images using access to the Graphviz CLI scripts. (Like `dot`, `neato`, etc.)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Get the DOT spec for a graph:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "graph {\n",
       "\"8\" [pos=\"-0.692820323028,2!\"];\n",
       "\"12\" [pos=\"0,2.4!\"];\n",
       "\"15\" [pos=\"0.692820323028,1.2!\"];\n",
       "\"16\" [pos=\"0.692820323028,2!\"];\n",
       "\"10\" [pos=\"0,0!\"];\n",
       "\"23\" [pos=\"2.078460969083,1.2!\"];\n",
       "\"27\" [pos=\"2.77128129211,0.7999999999999999!\"];\n",
       "\"5\" [pos=\"-0.692820323028,-1.2!\"];\n",
       "\"1\" [pos=\"-2.078460969083,-0.39999999999999997!\"];\n",
       "\"37\" [pos=\"4.849742261193,2!\"];\n",
       "\"0\" [pos=\"-2.078460969083,-1.2!\"];\n",
       "\"7\" [pos=\"-0.692820323028,1.2!\"];\n",
       "\"3\" [pos=\"-1.385640646055,0!\"];\n",
       "\"18\" [pos=\"1.385640646055,0!\"];\n",
       "\"13\" [pos=\"0.692820323028,-1.2!\"];\n",
       "\"4\" [pos=\"-1.385640646055,0.7999999999999999!\"];\n",
       "\"34\" [pos=\"4.1569219381649996,0.7999999999999999!\"];\n",
       "\"14\" [pos=\"0.692820323028,-0.39999999999999997!\"];\n",
       "\"20\" [pos=\"1.385640646055,2.4!\"];\n",
       "\"24\" [pos=\"2.078460969083,2!\"];\n",
       "\"33\" [pos=\"4.1569219381649996,0!\"];\n",
       "\"19\" [pos=\"1.385640646055,0.7999999999999999!\"];\n",
       "\"9\" [pos=\"0,-1.5999999999999999!\"];\n",
       "\"2\" [pos=\"-1.385640646055,-1.5999999999999999!\"];\n",
       "\"22\" [pos=\"2.078460969083,-0.39999999999999997!\"];\n",
       "\"6\" [pos=\"-0.692820323028,-0.39999999999999997!\"];\n",
       "\"21\" [pos=\"2.078460969083,-1.2!\"];\n",
       "\"25\" [pos=\"2.77128129211,-1.5999999999999999!\"];\n",
       "\"17\" [pos=\"1.385640646055,-1.5999999999999999!\"];\n",
       "\"35\" [pos=\"4.1569219381649996,2.4!\"];\n",
       "\"11\" [pos=\"0,0.7999999999999999!\"];\n",
       "\"26\" [pos=\"2.77128129211,0!\"];\n",
       "\"31\" [pos=\"3.464101615138,1.2!\"];\n",
       "\"32\" [pos=\"3.464101615138,2!\"];\n",
       "\"28\" [pos=\"2.77128129211,2.4!\"];\n",
       "\"36\" [pos=\"4.849742261193,1.2!\"];\n",
       "\"29\" [pos=\"3.464101615138,-1.2!\"];\n",
       "\"30\" [pos=\"3.464101615138,-0.39999999999999997!\"]\n",
       "\"12\" -- \"8\"\n",
       "\"7\" -- \"8\"\n",
       "\"26\" -- \"30\"\n",
       "\"30\" -- \"33\"\n",
       "\"29\" -- \"30\"\n",
       "\"23\" -- \"27\"\n",
       "\"19\" -- \"23\"\n",
       "\"23\" -- \"24\"\n",
       "\"16\" -- \"20\"\n",
       "\"15\" -- \"16\"\n",
       "\"12\" -- \"16\"\n",
       "\"2\" -- \"5\"\n",
       "\"0\" -- \"2\"\n",
       "\"28\" -- \"32\"\n",
       "\"32\" -- \"35\"\n",
       "\"31\" -- \"32\"\n",
       "\"10\" -- \"6\"\n",
       "\"3\" -- \"6\"\n",
       "\"5\" -- \"6\"\n",
       "\"13\" -- \"9\"\n",
       "\"5\" -- \"9\"\n",
       "\"11\" -- \"7\"\n",
       "\"4\" -- \"7\"\n",
       "\"18\" -- \"22\"\n",
       "\"14\" -- \"18\"\n",
       "\"18\" -- \"19\"\n",
       "\"20\" -- \"24\"\n",
       "\"24\" -- \"28\"\n",
       "\"1\" -- \"3\"\n",
       "\"0\" -- \"1\"\n",
       "\"31\" -- \"34\"\n",
       "\"34\" -- \"36\"\n",
       "\"33\" -- \"34\"\n",
       "\"3\" -- \"4\"\n",
       "\"21\" -- \"25\"\n",
       "\"25\" -- \"29\"\n",
       "\"13\" -- \"17\"\n",
       "\"17\" -- \"21\"\n",
       "\"27\" -- \"31\"\n",
       "\"26\" -- \"27\"\n",
       "\"15\" -- \"19\"\n",
       "\"11\" -- \"15\"\n",
       "\"35\" -- \"37\"\n",
       "\"36\" -- \"37\"\n",
       "\"13\" -- \"14\"\n",
       "\"10\" -- \"14\"\n",
       "\"21\" -- \"22\"\n",
       "\"10\" -- \"11\"\n",
       "\"22\" -- \"26\"\n",
       "}"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "my $spec = $g.dot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Below the following steps are done:\n",
    "\n",
    "1. Export DOT spec into a file\n",
    "2. Generate the SVG code and safe to a file\n",
    "3. Import and show into an HTML magic cell"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Proc.new(in => IO::Pipe, out => IO::Pipe, err => IO::Pipe, os-error => Str, exitcode => 0, signal => 0, pid => 18409, command => (\"neato ./example-spec.dot  -Tsvg > example-spec.svg\",))"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "spurt('./example-spec.dot', $spec);\n",
    "shell \"neato ./example-spec.dot  -Tsvg > example-spec.svg\";"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       " \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Generated by graphviz version 11.0.0 (20240428.1522)\n",
       " -->\n",
       "<!-- Pages: 1 -->\n",
       "<svg width=\"561pt\" height=\"332pt\"\n",
       " viewBox=\"0.00 0.00 560.83 332.00\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       "<g id=\"graph0\" class=\"graph\" transform=\"scale(1 1) rotate(0) translate(4 328)\">\n",
       "<polygon fill=\"white\" stroke=\"none\" points=\"-4,4 -4,-328 556.83,-328 556.83,4 -4,4\"/>\n",
       "<!-- 8 -->\n",
       "<g id=\"node1\" class=\"node\">\n",
       "<title>8</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"126.77\" cy=\"-277.2\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"126.77\" y=\"-272.15\" font-family=\"Times,serif\" font-size=\"14.00\">8</text>\n",
       "</g>\n",
       "<!-- 12 -->\n",
       "<g id=\"node2\" class=\"node\">\n",
       "<title>12</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"176.65\" cy=\"-306\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"176.65\" y=\"-300.95\" font-family=\"Times,serif\" font-size=\"14.00\">12</text>\n",
       "</g>\n",
       "<!-- 12&#45;&#45;8 -->\n",
       "<g id=\"edge1\" class=\"edge\">\n",
       "<title>12&#45;&#45;8</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M155.78,-293.95C153.01,-292.35 150.16,-290.71 147.39,-289.11\"/>\n",
       "</g>\n",
       "<!-- 16 -->\n",
       "<g id=\"node4\" class=\"node\">\n",
       "<title>16</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"226.53\" cy=\"-277.2\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"226.53\" y=\"-272.15\" font-family=\"Times,serif\" font-size=\"14.00\">16</text>\n",
       "</g>\n",
       "<!-- 12&#45;&#45;16 -->\n",
       "<g id=\"edge11\" class=\"edge\">\n",
       "<title>12&#45;&#45;16</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M197.52,-293.95C200.29,-292.35 203.14,-290.71 205.91,-289.11\"/>\n",
       "</g>\n",
       "<!-- 15 -->\n",
       "<g id=\"node3\" class=\"node\">\n",
       "<title>15</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"226.53\" cy=\"-219.6\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"226.53\" y=\"-214.55\" font-family=\"Times,serif\" font-size=\"14.00\">15</text>\n",
       "</g>\n",
       "<!-- 15&#45;&#45;16 -->\n",
       "<g id=\"edge10\" class=\"edge\">\n",
       "<title>15&#45;&#45;16</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M226.53,-237.83C226.53,-244.55 226.53,-252.17 226.53,-258.9\"/>\n",
       "</g>\n",
       "<!-- 19 -->\n",
       "<g id=\"node22\" class=\"node\">\n",
       "<title>19</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"276.42\" cy=\"-190.8\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"276.42\" y=\"-185.75\" font-family=\"Times,serif\" font-size=\"14.00\">19</text>\n",
       "</g>\n",
       "<!-- 15&#45;&#45;19 -->\n",
       "<g id=\"edge41\" class=\"edge\">\n",
       "<title>15&#45;&#45;19</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M247.4,-207.55C250.17,-205.95 253.02,-204.31 255.79,-202.71\"/>\n",
       "</g>\n",
       "<!-- 20 -->\n",
       "<g id=\"node19\" class=\"node\">\n",
       "<title>20</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"276.42\" cy=\"-306\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"276.42\" y=\"-300.95\" font-family=\"Times,serif\" font-size=\"14.00\">20</text>\n",
       "</g>\n",
       "<!-- 16&#45;&#45;20 -->\n",
       "<g id=\"edge9\" class=\"edge\">\n",
       "<title>16&#45;&#45;20</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M247.4,-289.25C250.17,-290.85 253.02,-292.49 255.79,-294.09\"/>\n",
       "</g>\n",
       "<!-- 10 -->\n",
       "<g id=\"node5\" class=\"node\">\n",
       "<title>10</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"176.65\" cy=\"-133.2\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"176.65\" y=\"-128.15\" font-family=\"Times,serif\" font-size=\"14.00\">10</text>\n",
       "</g>\n",
       "<!-- 14 -->\n",
       "<g id=\"node18\" class=\"node\">\n",
       "<title>14</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"226.53\" cy=\"-104.4\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"226.53\" y=\"-99.35\" font-family=\"Times,serif\" font-size=\"14.00\">14</text>\n",
       "</g>\n",
       "<!-- 10&#45;&#45;14 -->\n",
       "<g id=\"edge46\" class=\"edge\">\n",
       "<title>10&#45;&#45;14</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M197.52,-121.15C200.29,-119.55 203.14,-117.91 205.91,-116.31\"/>\n",
       "</g>\n",
       "<!-- 6 -->\n",
       "<g id=\"node26\" class=\"node\">\n",
       "<title>6</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"126.77\" cy=\"-104.4\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"126.77\" y=\"-99.35\" font-family=\"Times,serif\" font-size=\"14.00\">6</text>\n",
       "</g>\n",
       "<!-- 10&#45;&#45;6 -->\n",
       "<g id=\"edge17\" class=\"edge\">\n",
       "<title>10&#45;&#45;6</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M155.78,-121.15C153.01,-119.55 150.16,-117.91 147.39,-116.31\"/>\n",
       "</g>\n",
       "<!-- 11 -->\n",
       "<g id=\"node31\" class=\"node\">\n",
       "<title>11</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"176.65\" cy=\"-190.8\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"176.65\" y=\"-185.75\" font-family=\"Times,serif\" font-size=\"14.00\">11</text>\n",
       "</g>\n",
       "<!-- 10&#45;&#45;11 -->\n",
       "<g id=\"edge48\" class=\"edge\">\n",
       "<title>10&#45;&#45;11</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M176.65,-151.42C176.65,-158.15 176.65,-165.77 176.65,-172.5\"/>\n",
       "</g>\n",
       "<!-- 23 -->\n",
       "<g id=\"node6\" class=\"node\">\n",
       "<title>23</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"326.3\" cy=\"-219.6\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"326.3\" y=\"-214.55\" font-family=\"Times,serif\" font-size=\"14.00\">23</text>\n",
       "</g>\n",
       "<!-- 27 -->\n",
       "<g id=\"node7\" class=\"node\">\n",
       "<title>27</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"376.18\" cy=\"-190.8\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"376.18\" y=\"-185.75\" font-family=\"Times,serif\" font-size=\"14.00\">27</text>\n",
       "</g>\n",
       "<!-- 23&#45;&#45;27 -->\n",
       "<g id=\"edge6\" class=\"edge\">\n",
       "<title>23&#45;&#45;27</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M347.16,-207.55C349.94,-205.95 352.79,-204.31 355.56,-202.71\"/>\n",
       "</g>\n",
       "<!-- 24 -->\n",
       "<g id=\"node20\" class=\"node\">\n",
       "<title>24</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"326.3\" cy=\"-277.2\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"326.3\" y=\"-272.15\" font-family=\"Times,serif\" font-size=\"14.00\">24</text>\n",
       "</g>\n",
       "<!-- 23&#45;&#45;24 -->\n",
       "<g id=\"edge8\" class=\"edge\">\n",
       "<title>23&#45;&#45;24</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M326.3,-237.83C326.3,-244.55 326.3,-252.17 326.3,-258.9\"/>\n",
       "</g>\n",
       "<!-- 31 -->\n",
       "<g id=\"node33\" class=\"node\">\n",
       "<title>31</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"426.06\" cy=\"-219.6\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"426.06\" y=\"-214.55\" font-family=\"Times,serif\" font-size=\"14.00\">31</text>\n",
       "</g>\n",
       "<!-- 27&#45;&#45;31 -->\n",
       "<g id=\"edge39\" class=\"edge\">\n",
       "<title>27&#45;&#45;31</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M397.05,-202.85C399.82,-204.45 402.67,-206.09 405.44,-207.69\"/>\n",
       "</g>\n",
       "<!-- 5 -->\n",
       "<g id=\"node8\" class=\"node\">\n",
       "<title>5</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"126.77\" cy=\"-46.8\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"126.77\" y=\"-41.75\" font-family=\"Times,serif\" font-size=\"14.00\">5</text>\n",
       "</g>\n",
       "<!-- 9 -->\n",
       "<g id=\"node23\" class=\"node\">\n",
       "<title>9</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"176.65\" cy=\"-18\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"176.65\" y=\"-12.95\" font-family=\"Times,serif\" font-size=\"14.00\">9</text>\n",
       "</g>\n",
       "<!-- 5&#45;&#45;9 -->\n",
       "<g id=\"edge21\" class=\"edge\">\n",
       "<title>5&#45;&#45;9</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M147.63,-34.75C150.41,-33.15 153.25,-31.51 156.03,-29.91\"/>\n",
       "</g>\n",
       "<!-- 5&#45;&#45;6 -->\n",
       "<g id=\"edge19\" class=\"edge\">\n",
       "<title>5&#45;&#45;6</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M126.77,-65.02C126.77,-71.75 126.77,-79.37 126.77,-86.1\"/>\n",
       "</g>\n",
       "<!-- 1 -->\n",
       "<g id=\"node9\" class=\"node\">\n",
       "<title>1</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"27\" cy=\"-104.4\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"27\" y=\"-99.35\" font-family=\"Times,serif\" font-size=\"14.00\">1</text>\n",
       "</g>\n",
       "<!-- 3 -->\n",
       "<g id=\"node13\" class=\"node\">\n",
       "<title>3</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"76.88\" cy=\"-133.2\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"76.88\" y=\"-128.15\" font-family=\"Times,serif\" font-size=\"14.00\">3</text>\n",
       "</g>\n",
       "<!-- 1&#45;&#45;3 -->\n",
       "<g id=\"edge29\" class=\"edge\">\n",
       "<title>1&#45;&#45;3</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M47.87,-116.45C50.64,-118.05 53.49,-119.69 56.26,-121.29\"/>\n",
       "</g>\n",
       "<!-- 37 -->\n",
       "<g id=\"node10\" class=\"node\">\n",
       "<title>37</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"525.83\" cy=\"-277.2\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"525.83\" y=\"-272.15\" font-family=\"Times,serif\" font-size=\"14.00\">37</text>\n",
       "</g>\n",
       "<!-- 0 -->\n",
       "<g id=\"node11\" class=\"node\">\n",
       "<title>0</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"27\" cy=\"-46.8\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"27\" y=\"-41.75\" font-family=\"Times,serif\" font-size=\"14.00\">0</text>\n",
       "</g>\n",
       "<!-- 0&#45;&#45;1 -->\n",
       "<g id=\"edge30\" class=\"edge\">\n",
       "<title>0&#45;&#45;1</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M27,-65.02C27,-71.75 27,-79.37 27,-86.1\"/>\n",
       "</g>\n",
       "<!-- 2 -->\n",
       "<g id=\"node24\" class=\"node\">\n",
       "<title>2</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"76.88\" cy=\"-18\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"76.88\" y=\"-12.95\" font-family=\"Times,serif\" font-size=\"14.00\">2</text>\n",
       "</g>\n",
       "<!-- 0&#45;&#45;2 -->\n",
       "<g id=\"edge13\" class=\"edge\">\n",
       "<title>0&#45;&#45;2</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M47.87,-34.75C50.64,-33.15 53.49,-31.51 56.26,-29.91\"/>\n",
       "</g>\n",
       "<!-- 7 -->\n",
       "<g id=\"node12\" class=\"node\">\n",
       "<title>7</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"126.77\" cy=\"-219.6\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"126.77\" y=\"-214.55\" font-family=\"Times,serif\" font-size=\"14.00\">7</text>\n",
       "</g>\n",
       "<!-- 7&#45;&#45;8 -->\n",
       "<g id=\"edge2\" class=\"edge\">\n",
       "<title>7&#45;&#45;8</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M126.77,-237.83C126.77,-244.55 126.77,-252.17 126.77,-258.9\"/>\n",
       "</g>\n",
       "<!-- 4 -->\n",
       "<g id=\"node16\" class=\"node\">\n",
       "<title>4</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"76.88\" cy=\"-190.8\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"76.88\" y=\"-185.75\" font-family=\"Times,serif\" font-size=\"14.00\">4</text>\n",
       "</g>\n",
       "<!-- 3&#45;&#45;4 -->\n",
       "<g id=\"edge34\" class=\"edge\">\n",
       "<title>3&#45;&#45;4</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M76.88,-151.42C76.88,-158.15 76.88,-165.77 76.88,-172.5\"/>\n",
       "</g>\n",
       "<!-- 3&#45;&#45;6 -->\n",
       "<g id=\"edge18\" class=\"edge\">\n",
       "<title>3&#45;&#45;6</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M97.75,-121.15C100.53,-119.55 103.37,-117.91 106.14,-116.31\"/>\n",
       "</g>\n",
       "<!-- 18 -->\n",
       "<g id=\"node14\" class=\"node\">\n",
       "<title>18</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"276.42\" cy=\"-133.2\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"276.42\" y=\"-128.15\" font-family=\"Times,serif\" font-size=\"14.00\">18</text>\n",
       "</g>\n",
       "<!-- 18&#45;&#45;19 -->\n",
       "<g id=\"edge26\" class=\"edge\">\n",
       "<title>18&#45;&#45;19</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M276.42,-151.42C276.42,-158.15 276.42,-165.77 276.42,-172.5\"/>\n",
       "</g>\n",
       "<!-- 22 -->\n",
       "<g id=\"node25\" class=\"node\">\n",
       "<title>22</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"326.3\" cy=\"-104.4\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"326.3\" y=\"-99.35\" font-family=\"Times,serif\" font-size=\"14.00\">22</text>\n",
       "</g>\n",
       "<!-- 18&#45;&#45;22 -->\n",
       "<g id=\"edge24\" class=\"edge\">\n",
       "<title>18&#45;&#45;22</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M297.28,-121.15C300.06,-119.55 302.9,-117.91 305.68,-116.31\"/>\n",
       "</g>\n",
       "<!-- 13 -->\n",
       "<g id=\"node15\" class=\"node\">\n",
       "<title>13</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"226.53\" cy=\"-46.8\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"226.53\" y=\"-41.75\" font-family=\"Times,serif\" font-size=\"14.00\">13</text>\n",
       "</g>\n",
       "<!-- 13&#45;&#45;14 -->\n",
       "<g id=\"edge45\" class=\"edge\">\n",
       "<title>13&#45;&#45;14</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M226.53,-65.02C226.53,-71.75 226.53,-79.37 226.53,-86.1\"/>\n",
       "</g>\n",
       "<!-- 13&#45;&#45;9 -->\n",
       "<g id=\"edge20\" class=\"edge\">\n",
       "<title>13&#45;&#45;9</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M205.67,-34.75C202.89,-33.15 200.04,-31.51 197.27,-29.91\"/>\n",
       "</g>\n",
       "<!-- 17 -->\n",
       "<g id=\"node29\" class=\"node\">\n",
       "<title>17</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"276.42\" cy=\"-18\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"276.42\" y=\"-12.95\" font-family=\"Times,serif\" font-size=\"14.00\">17</text>\n",
       "</g>\n",
       "<!-- 13&#45;&#45;17 -->\n",
       "<g id=\"edge37\" class=\"edge\">\n",
       "<title>13&#45;&#45;17</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M247.4,-34.75C250.17,-33.15 253.02,-31.51 255.79,-29.91\"/>\n",
       "</g>\n",
       "<!-- 4&#45;&#45;7 -->\n",
       "<g id=\"edge23\" class=\"edge\">\n",
       "<title>4&#45;&#45;7</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M97.75,-202.85C100.53,-204.45 103.37,-206.09 106.14,-207.69\"/>\n",
       "</g>\n",
       "<!-- 34 -->\n",
       "<g id=\"node17\" class=\"node\">\n",
       "<title>34</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"475.95\" cy=\"-190.8\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"475.95\" y=\"-185.75\" font-family=\"Times,serif\" font-size=\"14.00\">34</text>\n",
       "</g>\n",
       "<!-- 36 -->\n",
       "<g id=\"node36\" class=\"node\">\n",
       "<title>36</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"525.83\" cy=\"-219.6\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"525.83\" y=\"-214.55\" font-family=\"Times,serif\" font-size=\"14.00\">36</text>\n",
       "</g>\n",
       "<!-- 34&#45;&#45;36 -->\n",
       "<g id=\"edge32\" class=\"edge\">\n",
       "<title>34&#45;&#45;36</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M496.81,-202.85C499.59,-204.45 502.44,-206.09 505.21,-207.69\"/>\n",
       "</g>\n",
       "<!-- 14&#45;&#45;18 -->\n",
       "<g id=\"edge25\" class=\"edge\">\n",
       "<title>14&#45;&#45;18</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M247.4,-116.45C250.17,-118.05 253.02,-119.69 255.79,-121.29\"/>\n",
       "</g>\n",
       "<!-- 20&#45;&#45;24 -->\n",
       "<g id=\"edge27\" class=\"edge\">\n",
       "<title>20&#45;&#45;24</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M297.28,-293.95C300.06,-292.35 302.9,-290.71 305.68,-289.11\"/>\n",
       "</g>\n",
       "<!-- 28 -->\n",
       "<g id=\"node35\" class=\"node\">\n",
       "<title>28</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"376.18\" cy=\"-306\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"376.18\" y=\"-300.95\" font-family=\"Times,serif\" font-size=\"14.00\">28</text>\n",
       "</g>\n",
       "<!-- 24&#45;&#45;28 -->\n",
       "<g id=\"edge28\" class=\"edge\">\n",
       "<title>24&#45;&#45;28</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M347.16,-289.25C349.94,-290.85 352.79,-292.49 355.56,-294.09\"/>\n",
       "</g>\n",
       "<!-- 33 -->\n",
       "<g id=\"node21\" class=\"node\">\n",
       "<title>33</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"475.95\" cy=\"-133.2\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"475.95\" y=\"-128.15\" font-family=\"Times,serif\" font-size=\"14.00\">33</text>\n",
       "</g>\n",
       "<!-- 33&#45;&#45;34 -->\n",
       "<g id=\"edge33\" class=\"edge\">\n",
       "<title>33&#45;&#45;34</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M475.95,-151.42C475.95,-158.15 475.95,-165.77 475.95,-172.5\"/>\n",
       "</g>\n",
       "<!-- 19&#45;&#45;23 -->\n",
       "<g id=\"edge7\" class=\"edge\">\n",
       "<title>19&#45;&#45;23</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M297.28,-202.85C300.06,-204.45 302.9,-206.09 305.68,-207.69\"/>\n",
       "</g>\n",
       "<!-- 2&#45;&#45;5 -->\n",
       "<g id=\"edge12\" class=\"edge\">\n",
       "<title>2&#45;&#45;5</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M97.75,-30.05C100.53,-31.65 103.37,-33.29 106.14,-34.89\"/>\n",
       "</g>\n",
       "<!-- 26 -->\n",
       "<g id=\"node32\" class=\"node\">\n",
       "<title>26</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"376.18\" cy=\"-133.2\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"376.18\" y=\"-128.15\" font-family=\"Times,serif\" font-size=\"14.00\">26</text>\n",
       "</g>\n",
       "<!-- 22&#45;&#45;26 -->\n",
       "<g id=\"edge49\" class=\"edge\">\n",
       "<title>22&#45;&#45;26</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M347.16,-116.45C349.94,-118.05 352.79,-119.69 355.56,-121.29\"/>\n",
       "</g>\n",
       "<!-- 21 -->\n",
       "<g id=\"node27\" class=\"node\">\n",
       "<title>21</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"326.3\" cy=\"-46.8\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"326.3\" y=\"-41.75\" font-family=\"Times,serif\" font-size=\"14.00\">21</text>\n",
       "</g>\n",
       "<!-- 21&#45;&#45;22 -->\n",
       "<g id=\"edge47\" class=\"edge\">\n",
       "<title>21&#45;&#45;22</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M326.3,-65.02C326.3,-71.75 326.3,-79.37 326.3,-86.1\"/>\n",
       "</g>\n",
       "<!-- 25 -->\n",
       "<g id=\"node28\" class=\"node\">\n",
       "<title>25</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"376.18\" cy=\"-18\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"376.18\" y=\"-12.95\" font-family=\"Times,serif\" font-size=\"14.00\">25</text>\n",
       "</g>\n",
       "<!-- 21&#45;&#45;25 -->\n",
       "<g id=\"edge35\" class=\"edge\">\n",
       "<title>21&#45;&#45;25</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M347.16,-34.75C349.94,-33.15 352.79,-31.51 355.56,-29.91\"/>\n",
       "</g>\n",
       "<!-- 29 -->\n",
       "<g id=\"node37\" class=\"node\">\n",
       "<title>29</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"426.06\" cy=\"-46.8\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"426.06\" y=\"-41.75\" font-family=\"Times,serif\" font-size=\"14.00\">29</text>\n",
       "</g>\n",
       "<!-- 25&#45;&#45;29 -->\n",
       "<g id=\"edge36\" class=\"edge\">\n",
       "<title>25&#45;&#45;29</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M397.05,-30.05C399.82,-31.65 402.67,-33.29 405.44,-34.89\"/>\n",
       "</g>\n",
       "<!-- 17&#45;&#45;21 -->\n",
       "<g id=\"edge38\" class=\"edge\">\n",
       "<title>17&#45;&#45;21</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M297.28,-30.05C300.06,-31.65 302.9,-33.29 305.68,-34.89\"/>\n",
       "</g>\n",
       "<!-- 35 -->\n",
       "<g id=\"node30\" class=\"node\">\n",
       "<title>35</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"475.95\" cy=\"-306\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"475.95\" y=\"-300.95\" font-family=\"Times,serif\" font-size=\"14.00\">35</text>\n",
       "</g>\n",
       "<!-- 35&#45;&#45;37 -->\n",
       "<g id=\"edge43\" class=\"edge\">\n",
       "<title>35&#45;&#45;37</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M496.81,-293.95C499.59,-292.35 502.44,-290.71 505.21,-289.11\"/>\n",
       "</g>\n",
       "<!-- 11&#45;&#45;15 -->\n",
       "<g id=\"edge42\" class=\"edge\">\n",
       "<title>11&#45;&#45;15</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M197.52,-202.85C200.29,-204.45 203.14,-206.09 205.91,-207.69\"/>\n",
       "</g>\n",
       "<!-- 11&#45;&#45;7 -->\n",
       "<g id=\"edge22\" class=\"edge\">\n",
       "<title>11&#45;&#45;7</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M155.78,-202.85C153.01,-204.45 150.16,-206.09 147.39,-207.69\"/>\n",
       "</g>\n",
       "<!-- 26&#45;&#45;27 -->\n",
       "<g id=\"edge40\" class=\"edge\">\n",
       "<title>26&#45;&#45;27</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M376.18,-151.42C376.18,-158.15 376.18,-165.77 376.18,-172.5\"/>\n",
       "</g>\n",
       "<!-- 30 -->\n",
       "<g id=\"node38\" class=\"node\">\n",
       "<title>30</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"426.06\" cy=\"-104.4\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"426.06\" y=\"-99.35\" font-family=\"Times,serif\" font-size=\"14.00\">30</text>\n",
       "</g>\n",
       "<!-- 26&#45;&#45;30 -->\n",
       "<g id=\"edge3\" class=\"edge\">\n",
       "<title>26&#45;&#45;30</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M397.05,-121.15C399.82,-119.55 402.67,-117.91 405.44,-116.31\"/>\n",
       "</g>\n",
       "<!-- 31&#45;&#45;34 -->\n",
       "<g id=\"edge31\" class=\"edge\">\n",
       "<title>31&#45;&#45;34</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M446.93,-207.55C449.71,-205.95 452.55,-204.31 455.33,-202.71\"/>\n",
       "</g>\n",
       "<!-- 32 -->\n",
       "<g id=\"node34\" class=\"node\">\n",
       "<title>32</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"426.06\" cy=\"-277.2\" rx=\"27\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"426.06\" y=\"-272.15\" font-family=\"Times,serif\" font-size=\"14.00\">32</text>\n",
       "</g>\n",
       "<!-- 31&#45;&#45;32 -->\n",
       "<g id=\"edge16\" class=\"edge\">\n",
       "<title>31&#45;&#45;32</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M426.06,-237.83C426.06,-244.55 426.06,-252.17 426.06,-258.9\"/>\n",
       "</g>\n",
       "<!-- 32&#45;&#45;35 -->\n",
       "<g id=\"edge15\" class=\"edge\">\n",
       "<title>32&#45;&#45;35</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M446.93,-289.25C449.71,-290.85 452.55,-292.49 455.33,-294.09\"/>\n",
       "</g>\n",
       "<!-- 28&#45;&#45;32 -->\n",
       "<g id=\"edge14\" class=\"edge\">\n",
       "<title>28&#45;&#45;32</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M397.05,-293.95C399.82,-292.35 402.67,-290.71 405.44,-289.11\"/>\n",
       "</g>\n",
       "<!-- 36&#45;&#45;37 -->\n",
       "<g id=\"edge44\" class=\"edge\">\n",
       "<title>36&#45;&#45;37</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M525.83,-237.83C525.83,-244.55 525.83,-252.17 525.83,-258.9\"/>\n",
       "</g>\n",
       "<!-- 29&#45;&#45;30 -->\n",
       "<g id=\"edge5\" class=\"edge\">\n",
       "<title>29&#45;&#45;30</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M426.06,-65.02C426.06,-71.75 426.06,-79.37 426.06,-86.1\"/>\n",
       "</g>\n",
       "<!-- 30&#45;&#45;33 -->\n",
       "<g id=\"edge4\" class=\"edge\">\n",
       "<title>30&#45;&#45;33</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M446.93,-116.45C449.71,-118.05 452.55,-119.69 455.33,-121.29\"/>\n",
       "</g>\n",
       "</g>\n",
       "</svg>\n"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#% html\n",
    "slurp('./example-spec.svg')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "RakuChatbook",
   "language": "raku",
   "name": "raku"
  },
  "language_info": {
   "file_extension": ".raku",
   "mimetype": "text/x-raku",
   "name": "raku",
   "version": "6.d"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}