From aa8fe6091146f0926576765b7c1bd4f2486c6c02 Mon Sep 17 00:00:00 2001
From: Michael Murtaugh <mm@automatist.org>
Date: Wed, 16 Sep 2020 16:59:07 +0000
Subject: [PATCH] Graphviz

---
 Graphviz.ipynb | 228 ++++++++++++++++++++++++++-----------------------
 1 file changed, 123 insertions(+), 105 deletions(-)

diff --git a/Graphviz.ipynb b/Graphviz.ipynb
index 44e806b..33a6bcf 100644
--- a/Graphviz.ipynb
+++ b/Graphviz.ipynb
@@ -11,7 +11,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 11,
+   "execution_count": 2,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -20,7 +20,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 3,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -29,7 +29,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": 4,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -43,7 +43,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
+   "execution_count": 5,
    "metadata": {},
    "outputs": [
     {
@@ -82,10 +82,10 @@
        "</svg>\n"
       ],
       "text/plain": [
-       "<graphviz.dot.Digraph at 0x7f465085e080>"
+       "<graphviz.dot.Digraph at 0x7f8c94ff4dd8>"
       ]
      },
-     "execution_count": 6,
+     "execution_count": 5,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -96,7 +96,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": 6,
    "metadata": {
     "jupyter": {
      "source_hidden": true
@@ -112,7 +112,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 7,
    "metadata": {},
    "outputs": [
     {
@@ -167,7 +167,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": 8,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -181,7 +181,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 8,
+   "execution_count": 9,
    "metadata": {},
    "outputs": [
     {
@@ -228,7 +228,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 14,
+   "execution_count": 10,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -238,7 +238,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 15,
+   "execution_count": 11,
    "metadata": {},
    "outputs": [
     {
@@ -255,332 +255,350 @@
        "<g id=\"graph0\" class=\"graph\" transform=\"scale(1 1) rotate(0) translate(4 760)\">\n",
        "<title>%3</title>\n",
        "<polygon fill=\"#ffffff\" stroke=\"transparent\" points=\"-4,4 -4,-760 599,-760 599,4 -4,4\"/>\n",
-       "<!-- I -->\n",
+       "<!-- 1 -->\n",
        "<g id=\"node1\" class=\"node\">\n",
+       "<title>1</title>\n",
+       "<ellipse fill=\"none\" stroke=\"#000000\" cx=\"143\" cy=\"-738\" rx=\"27\" ry=\"18\"/>\n",
+       "<text text-anchor=\"middle\" x=\"143\" y=\"-734.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">1</text>\n",
+       "</g>\n",
+       "<!-- 2 -->\n",
+       "<g id=\"node2\" class=\"node\">\n",
+       "<title>2</title>\n",
+       "<ellipse fill=\"none\" stroke=\"#000000\" cx=\"143\" cy=\"-666\" rx=\"27\" ry=\"18\"/>\n",
+       "<text text-anchor=\"middle\" x=\"143\" y=\"-662.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">2</text>\n",
+       "</g>\n",
+       "<!-- 1&#45;&gt;2 -->\n",
+       "<g id=\"edge1\" class=\"edge\">\n",
+       "<title>1&#45;&gt;2</title>\n",
+       "<path fill=\"none\" stroke=\"#000000\" d=\"M143,-719.8314C143,-712.131 143,-702.9743 143,-694.4166\"/>\n",
+       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"146.5001,-694.4132 143,-684.4133 139.5001,-694.4133 146.5001,-694.4132\"/>\n",
+       "</g>\n",
+       "<!-- I -->\n",
+       "<g id=\"node3\" class=\"node\">\n",
        "<title>I</title>\n",
        "<ellipse fill=\"none\" stroke=\"#000000\" cx=\"298\" cy=\"-738\" rx=\"27\" ry=\"18\"/>\n",
        "<text text-anchor=\"middle\" x=\"298\" y=\"-734.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">I</text>\n",
        "</g>\n",
        "<!-- have -->\n",
-       "<g id=\"node2\" class=\"node\">\n",
+       "<g id=\"node4\" class=\"node\">\n",
        "<title>have</title>\n",
        "<ellipse fill=\"none\" stroke=\"#000000\" cx=\"220\" cy=\"-666\" rx=\"32.4942\" ry=\"18\"/>\n",
        "<text text-anchor=\"middle\" x=\"220\" y=\"-662.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">have</text>\n",
        "</g>\n",
        "<!-- I&#45;&gt;have -->\n",
-       "<g id=\"edge1\" class=\"edge\">\n",
+       "<g id=\"edge2\" class=\"edge\">\n",
        "<title>I&#45;&gt;have</title>\n",
        "<path fill=\"none\" stroke=\"#000000\" d=\"M281.8383,-723.0816C271.0767,-713.1477 256.7328,-699.9072 244.5692,-688.6793\"/>\n",
        "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"246.6724,-685.8575 236.9504,-681.6465 241.9244,-691.0012 246.6724,-685.8575\"/>\n",
        "</g>\n",
        "<!-- was -->\n",
-       "<g id=\"node14\" class=\"node\">\n",
+       "<g id=\"node16\" class=\"node\">\n",
        "<title>was</title>\n",
-       "<ellipse fill=\"none\" stroke=\"#000000\" cx=\"359\" cy=\"-666\" rx=\"28.6953\" ry=\"18\"/>\n",
-       "<text text-anchor=\"middle\" x=\"359\" y=\"-662.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">was</text>\n",
+       "<ellipse fill=\"none\" stroke=\"#000000\" cx=\"364\" cy=\"-666\" rx=\"28.6953\" ry=\"18\"/>\n",
+       "<text text-anchor=\"middle\" x=\"364\" y=\"-662.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">was</text>\n",
        "</g>\n",
        "<!-- I&#45;&gt;was -->\n",
-       "<g id=\"edge16\" class=\"edge\">\n",
+       "<g id=\"edge17\" class=\"edge\">\n",
        "<title>I&#45;&gt;was</title>\n",
-       "<path fill=\"none\" stroke=\"#000000\" d=\"M311.5379,-722.0209C319.5933,-712.5128 329.9633,-700.2728 338.9544,-689.6604\"/>\n",
-       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"341.7062,-691.8268 345.5,-681.9345 336.3653,-687.3019 341.7062,-691.8268\"/>\n",
+       "<path fill=\"none\" stroke=\"#000000\" d=\"M312.321,-722.3771C321.2292,-712.659 332.8452,-699.987 342.8075,-689.1191\"/>\n",
+       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"345.5297,-691.3291 349.7069,-681.5924 340.3696,-686.599 345.5297,-691.3291\"/>\n",
        "</g>\n",
        "<!-- a -->\n",
-       "<g id=\"node3\" class=\"node\">\n",
+       "<g id=\"node5\" class=\"node\">\n",
        "<title>a</title>\n",
-       "<ellipse fill=\"none\" stroke=\"#000000\" cx=\"185\" cy=\"-594\" rx=\"27\" ry=\"18\"/>\n",
-       "<text text-anchor=\"middle\" x=\"185\" y=\"-590.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">a</text>\n",
+       "<ellipse fill=\"none\" stroke=\"#000000\" cx=\"211\" cy=\"-594\" rx=\"27\" ry=\"18\"/>\n",
+       "<text text-anchor=\"middle\" x=\"211\" y=\"-590.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">a</text>\n",
        "</g>\n",
        "<!-- have&#45;&gt;a -->\n",
-       "<g id=\"edge2\" class=\"edge\">\n",
+       "<g id=\"edge3\" class=\"edge\">\n",
        "<title>have&#45;&gt;a</title>\n",
-       "<path fill=\"none\" stroke=\"#000000\" d=\"M211.5275,-648.5708C207.4003,-640.0807 202.3507,-629.6929 197.7689,-620.2674\"/>\n",
-       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"200.9143,-618.7322 193.3945,-611.2687 194.6187,-621.7926 200.9143,-618.7322\"/>\n",
+       "<path fill=\"none\" stroke=\"#000000\" d=\"M217.7289,-647.8314C216.7664,-640.131 215.6218,-630.9743 214.5521,-622.4166\"/>\n",
+       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"218.0151,-621.9019 213.3017,-612.4133 211.0691,-622.7702 218.0151,-621.9019\"/>\n",
        "</g>\n",
        "<!-- tale -->\n",
-       "<g id=\"node4\" class=\"node\">\n",
+       "<g id=\"node6\" class=\"node\">\n",
        "<title>tale</title>\n",
-       "<ellipse fill=\"none\" stroke=\"#000000\" cx=\"115\" cy=\"-522\" rx=\"28.6953\" ry=\"18\"/>\n",
-       "<text text-anchor=\"middle\" x=\"115\" y=\"-518.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">tale</text>\n",
+       "<ellipse fill=\"none\" stroke=\"#000000\" cx=\"141\" cy=\"-522\" rx=\"28.6953\" ry=\"18\"/>\n",
+       "<text text-anchor=\"middle\" x=\"141\" y=\"-518.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">tale</text>\n",
        "</g>\n",
        "<!-- a&#45;&gt;tale -->\n",
-       "<g id=\"edge3\" class=\"edge\">\n",
+       "<g id=\"edge4\" class=\"edge\">\n",
        "<title>a&#45;&gt;tale</title>\n",
-       "<path fill=\"none\" stroke=\"#000000\" d=\"M170.1548,-578.7307C160.6334,-568.9372 148.0931,-556.0387 137.3763,-545.0156\"/>\n",
-       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"139.788,-542.4753 130.3077,-537.7451 134.769,-547.3548 139.788,-542.4753\"/>\n",
+       "<path fill=\"none\" stroke=\"#000000\" d=\"M196.1548,-578.7307C186.6334,-568.9372 174.0931,-556.0387 163.3763,-545.0156\"/>\n",
+       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"165.788,-542.4753 156.3077,-537.7451 160.769,-547.3548 165.788,-542.4753\"/>\n",
        "</g>\n",
        "<!-- to -->\n",
-       "<g id=\"node5\" class=\"node\">\n",
+       "<g id=\"node7\" class=\"node\">\n",
        "<title>to</title>\n",
-       "<ellipse fill=\"none\" stroke=\"#000000\" cx=\"108\" cy=\"-450\" rx=\"27\" ry=\"18\"/>\n",
-       "<text text-anchor=\"middle\" x=\"108\" y=\"-446.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">to</text>\n",
+       "<ellipse fill=\"none\" stroke=\"#000000\" cx=\"134\" cy=\"-450\" rx=\"27\" ry=\"18\"/>\n",
+       "<text text-anchor=\"middle\" x=\"134\" y=\"-446.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">to</text>\n",
        "</g>\n",
        "<!-- tale&#45;&gt;to -->\n",
-       "<g id=\"edge4\" class=\"edge\">\n",
+       "<g id=\"edge5\" class=\"edge\">\n",
        "<title>tale&#45;&gt;to</title>\n",
-       "<path fill=\"none\" stroke=\"#000000\" d=\"M113.2336,-503.8314C112.485,-496.131 111.5947,-486.9743 110.7627,-478.4166\"/>\n",
-       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"114.2415,-478.0276 109.7902,-468.4133 107.2744,-478.7051 114.2415,-478.0276\"/>\n",
+       "<path fill=\"none\" stroke=\"#000000\" d=\"M139.2336,-503.8314C138.485,-496.131 137.5947,-486.9743 136.7627,-478.4166\"/>\n",
+       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"140.2415,-478.0276 135.7902,-468.4133 133.2744,-478.7051 140.2415,-478.0276\"/>\n",
        "</g>\n",
        "<!-- tell -->\n",
-       "<g id=\"node6\" class=\"node\">\n",
+       "<g id=\"node8\" class=\"node\">\n",
        "<title>tell</title>\n",
        "<ellipse fill=\"none\" stroke=\"#000000\" cx=\"157\" cy=\"-378\" rx=\"27\" ry=\"18\"/>\n",
        "<text text-anchor=\"middle\" x=\"157\" y=\"-374.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">tell</text>\n",
        "</g>\n",
        "<!-- to&#45;&gt;tell -->\n",
-       "<g id=\"edge5\" class=\"edge\">\n",
+       "<g id=\"edge6\" class=\"edge\">\n",
        "<title>to&#45;&gt;tell</title>\n",
-       "<path fill=\"none\" stroke=\"#000000\" d=\"M119.3647,-433.3008C125.4873,-424.3043 133.1637,-413.0247 139.9841,-403.0029\"/>\n",
-       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"142.9641,-404.845 145.6969,-394.6087 137.1771,-400.9066 142.9641,-404.845\"/>\n",
+       "<path fill=\"none\" stroke=\"#000000\" d=\"M139.6854,-432.2022C142.2563,-424.1541 145.3534,-414.4588 148.2132,-405.5067\"/>\n",
+       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"151.5913,-406.4334 151.3003,-395.8425 144.9232,-404.3033 151.5913,-406.4334\"/>\n",
        "</g>\n",
        "<!-- hide -->\n",
-       "<g id=\"node12\" class=\"node\">\n",
+       "<g id=\"node14\" class=\"node\">\n",
        "<title>hide</title>\n",
        "<ellipse fill=\"none\" stroke=\"#000000\" cx=\"97\" cy=\"-306\" rx=\"30.5947\" ry=\"18\"/>\n",
        "<text text-anchor=\"middle\" x=\"97\" y=\"-302.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">hide</text>\n",
        "</g>\n",
        "<!-- to&#45;&gt;hide -->\n",
-       "<g id=\"edge12\" class=\"edge\">\n",
+       "<g id=\"edge13\" class=\"edge\">\n",
        "<title>to&#45;&gt;hide</title>\n",
-       "<path fill=\"none\" stroke=\"#000000\" d=\"M106.6068,-431.7623C104.7306,-407.201 101.3731,-363.2474 99.1659,-334.3541\"/>\n",
-       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"102.6334,-333.794 98.3818,-324.0896 95.6538,-334.3272 102.6334,-333.794\"/>\n",
+       "<path fill=\"none\" stroke=\"#000000\" d=\"M129.3887,-432.0535C123.074,-407.4774 111.6717,-363.1008 104.2195,-334.0974\"/>\n",
+       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"107.5479,-332.9871 101.6694,-324.1727 100.7682,-334.7291 107.5479,-332.9871\"/>\n",
        "</g>\n",
        "<!-- see -->\n",
-       "<g id=\"node22\" class=\"node\">\n",
+       "<g id=\"node24\" class=\"node\">\n",
        "<title>see</title>\n",
        "<ellipse fill=\"none\" stroke=\"#000000\" cx=\"238\" cy=\"-378\" rx=\"27\" ry=\"18\"/>\n",
        "<text text-anchor=\"middle\" x=\"238\" y=\"-374.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">see</text>\n",
        "</g>\n",
        "<!-- to&#45;&gt;see -->\n",
-       "<g id=\"edge25\" class=\"edge\">\n",
+       "<g id=\"edge26\" class=\"edge\">\n",
        "<title>to&#45;&gt;see</title>\n",
-       "<path fill=\"none\" stroke=\"#000000\" d=\"M128.8867,-438.432C150.398,-426.518 184.114,-407.8446 208.3749,-394.4077\"/>\n",
-       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"210.1129,-397.4462 217.1651,-389.5393 206.7214,-391.3226 210.1129,-397.4462\"/>\n",
+       "<path fill=\"none\" stroke=\"#000000\" d=\"M153.0752,-436.7941C169.2013,-425.6298 192.5041,-409.4971 210.6221,-396.9539\"/>\n",
+       "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"212.816,-399.692 219.0457,-391.1222 208.8315,-393.9367 212.816,-399.692\"/>\n",
        "</g>\n",
        "<!-- Sometimes -->\n",
-       "<g id=\"node7\" class=\"node\">\n",
+       "<g id=\"node9\" class=\"node\">\n",
        "<title>Sometimes</title>\n",
        "<ellipse fill=\"none\" stroke=\"#000000\" cx=\"208\" cy=\"-306\" rx=\"62.2891\" ry=\"18\"/>\n",
        "<text text-anchor=\"middle\" x=\"208\" y=\"-302.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">Sometimes</text>\n",
        "</g>\n",
        "<!-- tell&#45;&gt;Sometimes -->\n",
-       "<g id=\"edge6\" class=\"edge\">\n",
+       "<g id=\"edge7\" class=\"edge\">\n",
        "<title>tell&#45;&gt;Sometimes</title>\n",
        "<path fill=\"none\" stroke=\"#000000\" d=\"M168.5727,-361.6621C174.7554,-352.9336 182.5138,-341.9805 189.5092,-332.1047\"/>\n",
        "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"192.4773,-333.9695 195.4014,-323.7862 186.7651,-329.9234 192.4773,-333.9695\"/>\n",
        "</g>\n",
        "<!-- it -->\n",
-       "<g id=\"node8\" class=\"node\">\n",
+       "<g id=\"node10\" class=\"node\">\n",
        "<title>it</title>\n",
        "<ellipse fill=\"none\" stroke=\"#000000\" cx=\"204\" cy=\"-234\" rx=\"27\" ry=\"18\"/>\n",
        "<text text-anchor=\"middle\" x=\"204\" y=\"-230.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">it</text>\n",
        "</g>\n",
        "<!-- Sometimes&#45;&gt;it -->\n",
-       "<g id=\"edge7\" class=\"edge\">\n",
+       "<g id=\"edge8\" class=\"edge\">\n",
        "<title>Sometimes&#45;&gt;it</title>\n",
        "<path fill=\"none\" stroke=\"#000000\" d=\"M206.9906,-287.8314C206.5628,-280.131 206.0541,-270.9743 205.5787,-262.4166\"/>\n",
        "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"209.0724,-262.2037 205.023,-252.4133 202.0831,-262.592 209.0724,-262.2037\"/>\n",
        "</g>\n",
        "<!-- gets -->\n",
-       "<g id=\"node9\" class=\"node\">\n",
+       "<g id=\"node11\" class=\"node\">\n",
        "<title>gets</title>\n",
        "<ellipse fill=\"none\" stroke=\"#000000\" cx=\"194\" cy=\"-162\" rx=\"30.5947\" ry=\"18\"/>\n",
        "<text text-anchor=\"middle\" x=\"194\" y=\"-158.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">gets</text>\n",
        "</g>\n",
        "<!-- it&#45;&gt;gets -->\n",
-       "<g id=\"edge8\" class=\"edge\">\n",
+       "<g id=\"edge9\" class=\"edge\">\n",
        "<title>it&#45;&gt;gets</title>\n",
        "<path fill=\"none\" stroke=\"#000000\" d=\"M201.4766,-215.8314C200.4071,-208.131 199.1353,-198.9743 197.9468,-190.4166\"/>\n",
        "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"201.3999,-189.8367 196.5574,-180.4133 194.4664,-190.7997 201.3999,-189.8367\"/>\n",
        "</g>\n",
        "<!-- well -->\n",
-       "<g id=\"node13\" class=\"node\">\n",
+       "<g id=\"node15\" class=\"node\">\n",
        "<title>well</title>\n",
        "<ellipse fill=\"none\" stroke=\"#000000\" cx=\"287\" cy=\"-162\" rx=\"29.795\" ry=\"18\"/>\n",
        "<text text-anchor=\"middle\" x=\"287\" y=\"-158.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">well</text>\n",
        "</g>\n",
        "<!-- it&#45;&gt;well -->\n",
-       "<g id=\"edge14\" class=\"edge\">\n",
+       "<g id=\"edge15\" class=\"edge\">\n",
        "<title>it&#45;&gt;well</title>\n",
        "<path fill=\"none\" stroke=\"#000000\" d=\"M220.7963,-219.4297C232.6429,-209.1531 248.7123,-195.2134 262.0525,-183.6412\"/>\n",
        "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"264.6834,-185.9924 269.9438,-176.7957 260.0964,-180.7047 264.6834,-185.9924\"/>\n",
        "</g>\n",
        "<!-- so -->\n",
-       "<g id=\"node10\" class=\"node\">\n",
+       "<g id=\"node12\" class=\"node\">\n",
        "<title>so</title>\n",
        "<ellipse fill=\"none\" stroke=\"#000000\" cx=\"186\" cy=\"-90\" rx=\"27\" ry=\"18\"/>\n",
        "<text text-anchor=\"middle\" x=\"186\" y=\"-86.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">so</text>\n",
        "</g>\n",
        "<!-- gets&#45;&gt;so -->\n",
-       "<g id=\"edge9\" class=\"edge\">\n",
+       "<g id=\"edge10\" class=\"edge\">\n",
        "<title>gets&#45;&gt;so</title>\n",
        "<path fill=\"none\" stroke=\"#000000\" d=\"M191.9813,-143.8314C191.1257,-136.131 190.1083,-126.9743 189.1574,-118.4166\"/>\n",
        "<polygon fill=\"#000000\" stroke=\"#000000\" points=\"192.6289,-117.9656 188.0459,-108.4133 185.6717,-118.7386 192.6289,-117.9656\"/>\n",
        "</g>\n",
        "<!-- hard -->\n",
-       "<g id=\"node11\" class=\"node\">\n",
+       "<g id=\"node13\" class=\"node\">\n",
        "<title>hard</title>\n",
        "<ellipse fill=\"none\" stroke=\"#000000\" cx=\"101\" cy=\"-18\" rx=\"32.4942\" ry=\"18\"/>\n",
        "<text text-anchor=\"middle\" x=\"101\" y=\"-14.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">hard</text>\n",
        "</g>\n",
        "<!-- so&#45;&gt;hard -->\n",
-       "<g id=\"edge10\" class=\"edge\">\n",
+       "<g id=\"edge11\" class=\"edge\">\n",
        "<title>so&#45;&gt;hard</title>\n",
        "<path fill=\"none\" stroke=\"#000000\" d=\"M169.2067,-75.7751C157.0734,-65.4975 140.4625,-51.4271 126.6713,-39.7451\"/>\n",
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        "</g>\n",
        "<!-- hard&#45;&gt;to -->\n",
-       "<g id=\"edge11\" class=\"edge\">\n",
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