From 2f42c1c9bf4a502c733e573e2eec6976b2cd10df Mon Sep 17 00:00:00 2001
From: Alexandre Duret-Lutz <adl@lrde.epita.fr>
Date: Tue, 31 Mar 2015 13:46:25 +0200
Subject: [PATCH] randaut: add option --acc-type=random

Fixes #71.

* src/bin/randaut.cc: Implement option --acc-type.
* src/tgbaalgos/randomgraph.cc,
src/tgbaalgos/randomgraph.hh (random_acceptance): New function.
* src/tgbatest/randaut.test, wrap/python/tests/randaut.ipynb: Test it.
---
 src/bin/randaut.cc              |   41 +
 src/tgbaalgos/randomgraph.cc    |   39 +-
 src/tgbaalgos/randomgraph.hh    |    6 +-
 src/tgbatest/randaut.test       |   17 +
 wrap/python/tests/randaut.ipynb | 3744 ++++++++++++++++---------------
 5 files changed, 2017 insertions(+), 1830 deletions(-)

diff --git a/src/bin/randaut.cc b/src/bin/randaut.cc
index 1e74ddbd3..a7dbbd66d 100644
--- a/src/bin/randaut.cc
+++ b/src/bin/randaut.cc
@@ -26,6 +26,7 @@
 #include <sstream>
 #include <iterator>
 #include "error.h"
+#include "argmatch.h"
 
 #include "common_setup.hh"
 #include "common_range.hh"
@@ -64,12 +65,16 @@ states, 1 to 3 acceptance sets, and three atomic propositions:\n\
 enum {
   OPT_SEED = 1,
   OPT_STATE_ACC,
+  OPT_ACC_TYPE,
 };
 
 static const argp_option options[] =
   {
     /**************************************************/
     { 0, 0, 0, 0, "Generation:", 2 },
+    { "acc-type", OPT_ACC_TYPE, "buchi|random", 0,
+      "use a generalized buchi acceptance condition (default), or a "
+      "random acceptance condition", 0 },
     { "acc-sets", 'A', "RANGE", 0, "number of acceptance sets (0)", 0 },
     { "acc-probability", 'a', "FLOAT", 0,
       "probability that a transition belong to one acceptance set (0.2)", 0 },
@@ -102,6 +107,23 @@ static const struct argp_child children[] =
     { 0, 0, 0, 0 }
   };
 
+enum acc_type { acc_buchi, acc_random };
+
+static char const *const acc_args[] =
+{
+  "buchi", "ba", "gba",
+  "random",
+  0
+};
+static acc_type const acc_types[] =
+{
+  acc_buchi, acc_buchi, acc_buchi,
+  acc_random,
+};
+ARGMATCH_VERIFY(acc_args, acc_types);
+
+
+static acc_type opt_acc = acc_buchi;
 typedef spot::tgba_digraph::graph_t::trans_storage_t tr_t;
 typedef std::set<std::vector<tr_t>> unique_aut_t;
 static spot::ltl::atomic_prop_set aprops;
@@ -171,6 +193,9 @@ parse_opt(int key, char* arg, struct argp_state* as)
       opt_uniq =
         std::unique_ptr<unique_aut_t>(new std::set<std::vector<tr_t>>());
       break;
+    case OPT_ACC_TYPE:
+      opt_acc = XARGMATCH("--acc-type", arg, acc_args, acc_types);
+      break;
     case OPT_SEED:
       opt_seed = to_int(arg);
       opt_seed_str = arg;
@@ -229,9 +254,15 @@ main(int argc, char** argv)
   if (automaton_format == Spin && opt_acc_sets.max > 1)
     error(2, 0, "--spin is incompatible with --acc-sets=%d..%d",
 	  opt_acc_sets.min, opt_acc_sets.max);
+  if (automaton_format == Spin && opt_acc != acc_buchi)
+    error(2, 0,
+	  "--spin implies --acc-type=buchi but a different --acc-type is used");
   if (ba_wanted && opt_acc_sets.min != 1 && opt_acc_sets.max != 1)
     error(2, 0, "--ba is incompatible with --acc-sets=%d..%d",
 	  opt_acc_sets.min, opt_acc_sets.max);
+  if (ba_wanted && opt_acc != acc_buchi)
+    error(2, 0,
+	  "--ba implies --acc-type=buchi but a different --acc-type is used");
 
   try
     {
@@ -263,6 +294,16 @@ main(int argc, char** argv)
 			       accs, opt_acc_prob, 0.5,
 			       opt_deterministic, opt_state_acc);
 
+	  switch (opt_acc)
+	    {
+	    case acc_buchi:
+	      // Random_graph builds a GBA by default
+	      break;
+	    case acc_random:
+	      aut->set_acceptance(accs, spot::random_acceptance(accs));
+	      break;
+	    }
+
 	  if (opt_uniq)
 	    {
 	      auto tmp = spot::canonicalize
diff --git a/src/tgbaalgos/randomgraph.cc b/src/tgbaalgos/randomgraph.cc
index 009cec846..0d921ccb2 100644
--- a/src/tgbaalgos/randomgraph.cc
+++ b/src/tgbaalgos/randomgraph.cc
@@ -1,5 +1,5 @@
 // -*- coding: utf-8 -*-
-// Copyright (C) 2008, 2009, 2010, 2012, 2013, 2014 Laboratoire de
+// Copyright (C) 2008, 2009, 2010, 2012, 2013, 2014, 2015 Laboratoire de
 // Recherche et Développement de l'Epita (LRDE).
 // Copyright (C) 2004, 2005, 2007 Laboratoire d'Informatique de
 // Paris 6 (LIP6), département Systèmes Répartis Coopératifs (SRC),
@@ -241,4 +241,41 @@ namespace spot
     return res;
   }
 
+  acc_cond::acc_code random_acceptance(unsigned n_accs)
+  {
+    // With 0 acceptance sets, we always generate the true acceptance.
+    // (Working with false is somehow pointless, and the formulas we
+    // generate for n_accs>0 are always satisfiable, so it makes sense
+    // that it should be satisfiable for n_accs=0 as well.)
+    if (n_accs == 0)
+      return {};
+
+    acc_cond acc(n_accs);
+    std::vector<acc_cond::acc_code> codes;
+    codes.reserve(n_accs);
+    for (unsigned i = 0; i < n_accs; ++i)
+      if (drand() < 0.5)
+	codes.push_back(acc.inf(acc.mark(i)));
+      else
+	codes.push_back(acc.fin(acc.mark(i)));
+
+    int s = codes.size();
+    while (s > 1)
+      {
+	// Pick a random code and put it at the end
+	int p1 = mrand(s--);
+	std::swap(codes[p1], codes[s]);
+	// and another one
+	int p2 = mrand(s);
+
+	if (drand() < 0.5)
+	  codes[p2].append_or(std::move(codes.back()));
+	else
+	  codes[p2].append_and(std::move(codes.back()));
+
+	codes.pop_back();
+      }
+    return codes[0];
+  }
+
 }
diff --git a/src/tgbaalgos/randomgraph.hh b/src/tgbaalgos/randomgraph.hh
index 9e78fbcb2..dd58b977c 100644
--- a/src/tgbaalgos/randomgraph.hh
+++ b/src/tgbaalgos/randomgraph.hh
@@ -1,5 +1,5 @@
 // -*- coding: utf-8 -*-
-// Copyright (C) 2011, 2013, 2014 Laboratoire de Recherche et
+// Copyright (C) 2011, 2013, 2014, 2015 Laboratoire de Recherche et
 // Développement de l'Epita (LRDE).
 // Copyright (C) 2004, 2005  Laboratoire d'Informatique de Paris 6 (LIP6),
 // département Systèmes Répartis Coopératifs (SRC), Université Pierre
@@ -25,6 +25,7 @@
 #include "ltlvisit/apcollect.hh"
 #include "ltlenv/defaultenv.hh"
 #include "tgba/bdddict.hh"
+#include "tgba/acc.hh"
 
 namespace spot
 {
@@ -81,4 +82,7 @@ namespace spot
 	       const ltl::atomic_prop_set* ap, const bdd_dict_ptr& dict,
 	       unsigned n_accs = 0, float a = 0.1, float t = 0.5,
 	       bool deterministic = false, bool state_acc = false);
+
+  /// Build a random acceptance where each acceptance sets is used once.
+  SPOT_API acc_cond::acc_code random_acceptance(unsigned n_accs);
 }
diff --git a/src/tgbatest/randaut.test b/src/tgbatest/randaut.test
index 7247bf12d..6a3839572 100755
--- a/src/tgbatest/randaut.test
+++ b/src/tgbatest/randaut.test
@@ -81,3 +81,20 @@ test 6 = `$autfilt -c out-det1.hoa`
 
 $autfilt -H out.hoa -o foo -c 2>stderr && exit 1
 grep 'autfilt: options --output and --count are incompatible' stderr
+
+$randaut -n 2 -S5 -A4 -H 2 | grep Acceptance: > output
+$randaut --acc-type=random -n 2 -S5 -A4 -H 2 | grep Acceptance: >> output
+cat output
+
+cat >expected <<EOF
+Acceptance: 4 Inf(0)&Inf(1)&Inf(2)&Inf(3)
+Acceptance: 4 Inf(0)&Inf(1)&Inf(2)&Inf(3)
+Acceptance: 4 (Fin(2) & Inf(3)) | Inf(0) | Fin(1)
+Acceptance: 4 ((Inf(0) | Inf(1)) & Fin(3)) | Inf(2)
+EOF
+diff output expected
+
+$randaut --spin --acc-type=random 2 2>stderr && exit 1
+grep 'randaut: --spin.*--acc-type' stderr
+$randaut --ba --acc-type=random 2 2>stderr && exit 1
+grep 'randaut: --ba.*--acc-type' stderr
diff --git a/wrap/python/tests/randaut.ipynb b/wrap/python/tests/randaut.ipynb
index 724c79d81..fbe2c84dd 100644
--- a/wrap/python/tests/randaut.ipynb
+++ b/wrap/python/tests/randaut.ipynb
@@ -1,7 +1,7 @@
 {
  "metadata": {
   "name": "",
-  "signature": "sha256:f26e5cfdf72ab87cc41a6613deb2e29a0cca8a92678f062cd01b7513940e0424"
+  "signature": "sha256:f4c7efdcb7b97c3b11c230a6b18c8e46c1708289918a5dd8df73fe6baae3c8f6"
  },
  "nbformat": 3,
  "nbformat_minor": 0,
@@ -18,7 +18,7 @@
       "# the environment variables the first time it reads them, so\n",
       "# if you change those variables, the new values will be ignored\n",
       "# until you restart the kernel.\n",
-      "os.environ['SPOT_DOTEXTRA'] = 'size=\"5,5\" node[style=filled,fillcolor=\"#ffffaa\"] edge[arrowhead=vee, arrowsize=.7]'\n",
+      "os.environ['SPOT_DOTEXTRA'] = 'size=\"5.4,5\" node[style=filled,fillcolor=\"#ffffaa\"] edge[arrowhead=vee, arrowsize=.7]'\n",
       "os.environ['SPOT_DOTDEFAULT'] = 'rbcf(Lato)'\n",
       "import spot"
      ],
@@ -32,7 +32,7 @@
      "collapsed": false,
      "input": [
       "txt = \"<TABLE><TR><TH>before</TH><TH>after</TH>\"\n",
-      "for a in spot.automata('randaut -H -S5 -A 3 -n10 2|'):\n",
+      "for a in spot.automata('randaut --acc-type=random -H -S5 -A4 -n10 2|'):\n",
       "    txt += \"<TR><TD>{0}</TD><TD>{1}</TD></TR>\".format(a.show('.a').data, spot.cleanup_acceptance(a).show('.a').data)\n",
       "txt += (\"</TABLE>\")\n",
       "HTML(txt)"
@@ -42,1903 +42,1990 @@
      "outputs": [
       {
        "html": [
-        "<TABLE><TR><TH>before</TH><TH>after</TH><TR><TD><svg height=\"83pt\" viewBox=\"0.00 0.00 360.00 83.44\" width=\"360pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
-        "<g class=\"graph\" id=\"graph0\" transform=\"scale(0.552571 0.552571) rotate(0) translate(4 147)\">\n",
+        "<TABLE><TR><TH>before</TH><TH>after</TH><TR><TD><svg height=\"94pt\" viewBox=\"0.00 0.00 389.00 94.23\" width=\"389pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
+        "<g class=\"graph\" id=\"graph0\" transform=\"scale(0.604037 0.604037) rotate(0) translate(4 152)\">\n",
         "<title>G</title>\n",
-        "<polygon fill=\"white\" points=\"-4,4 -4,-147 647.5,-147 647.5,4 -4,4\" stroke=\"none\"/>\n",
-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"248.75\" y=\"-128.8\">Inf(</text>\n",
-        "<text fill=\"#5da5da\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"270.75\" y=\"-128.8\">\u24ff</text>\n",
-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"286.75\" y=\"-128.8\">)&amp;Inf(</text>\n",
-        "<text fill=\"#f17cb0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"322.75\" y=\"-128.8\">\u2776</text>\n",
-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"338.75\" y=\"-128.8\">)&amp;Inf(</text>\n",
-        "<text fill=\"#faa43a\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"374.75\" y=\"-128.8\">\u2777</text>\n",
-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"390.75\" y=\"-128.8\">)</text>\n",
+        "<polygon fill=\"white\" points=\"-4,4 -4,-152 640,-152 640,4 -4,4\" stroke=\"none\"/>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"208.5\" y=\"-133.8\">(Fin(</text>\n",
+        "<text fill=\"#faa43a\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"236.5\" y=\"-133.8\">\u2777</text>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"252.5\" y=\"-133.8\">) &amp; Inf(</text>\n",
+        "<text fill=\"#b276b2\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"295.5\" y=\"-133.8\">\u2778</text>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"311.5\" y=\"-133.8\">)) | Inf(</text>\n",
+        "<text fill=\"#5da5da\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"351.5\" y=\"-133.8\">\u24ff</text>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"367.5\" y=\"-133.8\">) | Fin(</text>\n",
+        "<text fill=\"#f17cb0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"407.5\" y=\"-133.8\">\u2776</text>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"423.5\" y=\"-133.8\">)</text>\n",
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-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"56\" y=\"-48.3\">0</text>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"56\" y=\"-39.3\">0</text>\n",
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-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"242\" y=\"-69.8\">!p0 &amp; p1</text>\n",
-        "</g>\n",
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-        "<g class=\"node\" id=\"node4\"><title>1</title>\n",
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-        "<g class=\"edge\" id=\"edge5\"><title>1-&gt;1</title>\n",
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-        "<!-- I&#45;&gt;0 -->\n",
-        "<g class=\"edge\" id=\"edge1\"><title>I-&gt;0</title>\n",
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-        "<g class=\"edge\" id=\"edge9\"><title>3-&gt;2</title>\n",
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-        "<g class=\"edge\" id=\"edge5\"><title>1-&gt;1</title>\n",
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-        "<g class=\"edge\" id=\"edge10\"><title>4-&gt;1</title>\n",
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-        "<g class=\"edge\" id=\"edge6\"><title>2-&gt;4</title>\n",
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-        "<g class=\"edge\" id=\"edge1\"><title>I-&gt;0</title>\n",
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-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"510.5\" y=\"-79.8\">p0 &amp; p1</text>\n",
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-        "<!-- I&#45;&gt;0 -->\n",
-        "<g class=\"edge\" id=\"edge1\"><title>I-&gt;0</title>\n",
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-        "<polygon fill=\"black\" points=\"37.9419,-154 30.9419,-157.15 34.4419,-154 30.9419,-154 30.9419,-154 30.9419,-154 34.4419,-154 30.9418,-150.85 37.9419,-154 37.9419,-154\" stroke=\"black\"/>\n",
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-        "<polygon fill=\"black\" points=\"165.654,-117.492 160.022,-122.708 162.337,-118.607 159.019,-119.722 159.019,-119.722 159.019,-119.722 162.337,-118.607 158.016,-116.736 165.654,-117.492 165.654,-117.492\" stroke=\"black\"/>\n",
-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"92\" y=\"-144.8\">p0 &amp; !p1</text>\n",
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-        "<g class=\"edge\" id=\"edge6\"><title>2-&gt;1</title>\n",
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-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"220.5\" y=\"-106.8\">p0 &amp; p1</text>\n",
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-        "<g class=\"edge\" id=\"edge11\"><title>4-&gt;0</title>\n",
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-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"292\" y=\"-181.8\">p0 &amp; !p1</text>\n",
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-        "<g class=\"edge\" id=\"edge8\"><title>3-&gt;4</title>\n",
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-        "<!-- I -->\n",
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-        "<!-- I&#45;&gt;0 -->\n",
-        "<g class=\"edge\" id=\"edge1\"><title>I-&gt;0</title>\n",
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+        "<path d=\"M1.15491,-43C2.79388,-43 17.1543,-43 30.6317,-43\" fill=\"none\" stroke=\"black\"/>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"196.5\" y=\"-103.3\">4</text>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"92\" y=\"-89.8\">!p0 &amp; !p1</text>\n",
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+        "<!-- 1 -->\n",
+        "<g class=\"node\" id=\"node4\"><title>1</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"337\" y=\"-68.3\">1</text>\n",
+        "</g>\n",
+        "<!-- 4&#45;&gt;1 -->\n",
+        "<g class=\"edge\" id=\"edge9\"><title>4-&gt;1</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"242\" y=\"-107.8\">!p0 &amp; !p1</text>\n",
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+        "<!-- 1&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge4\"><title>1-&gt;0</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"479.5\" y=\"-14.3\">2</text>\n",
+        "</g>\n",
+        "<!-- 1&#45;&gt;2 -->\n",
+        "<g class=\"edge\" id=\"edge5\"><title>1-&gt;2</title>\n",
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+        "<g class=\"edge\" id=\"edge6\"><title>2-&gt;0</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"269\" y=\"-135.8\">Inf(</text>\n",
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+        "<!-- I -->\n",
+        "<!-- 0 -->\n",
+        "<g class=\"node\" id=\"node2\"><title>0</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"56\" y=\"-39.3\">0</text>\n",
+        "</g>\n",
+        "<!-- I&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge1\"><title>I-&gt;0</title>\n",
+        "<path d=\"M1.15491,-43C2.79388,-43 17.1543,-43 30.6317,-43\" fill=\"none\" stroke=\"black\"/>\n",
+        "<polygon fill=\"black\" points=\"37.9419,-43 30.9419,-46.1501 34.4419,-43 30.9419,-43.0001 30.9419,-43.0001 30.9419,-43.0001 34.4419,-43 30.9418,-39.8501 37.9419,-43 37.9419,-43\" stroke=\"black\"/>\n",
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+        "<!-- 4 -->\n",
+        "<g class=\"node\" id=\"node3\"><title>4</title>\n",
+        "<ellipse cx=\"196.5\" cy=\"-109\" fill=\"#ffffaa\" rx=\"18\" ry=\"18\" stroke=\"black\"/>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"196.5\" y=\"-105.3\">4</text>\n",
+        "</g>\n",
+        "<!-- 0&#45;&gt;4 -->\n",
+        "<g class=\"edge\" id=\"edge2\"><title>0-&gt;4</title>\n",
+        "<path d=\"M72.6185,-50.4427C97.2443,-62.1778 145.184,-85.0228 173.354,-98.4468\" fill=\"none\" stroke=\"black\"/>\n",
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+        "<g class=\"node\" id=\"node4\"><title>1</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"337\" y=\"-68.3\">1</text>\n",
+        "</g>\n",
+        "<!-- 4&#45;&gt;1 -->\n",
+        "<g class=\"edge\" id=\"edge9\"><title>4-&gt;1</title>\n",
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+        "</g>\n",
+        "<!-- 1&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge4\"><title>1-&gt;0</title>\n",
+        "<path d=\"M319.285,-68.5504C313.501,-67.385 306.972,-66.1011 301,-65 266.869,-58.7071 258.495,-55.8289 224,-52 173.507,-46.3953 114.022,-44.2477 81.4244,-43.4497\" fill=\"none\" stroke=\"black\"/>\n",
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+        "<!-- 1&#45;&gt;4 -->\n",
+        "<g class=\"edge\" id=\"edge3\"><title>1-&gt;4</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"245.5\" y=\"-80.8\">p0 &amp; p1</text>\n",
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+        "<!-- 2 -->\n",
+        "<g class=\"node\" id=\"node5\"><title>2</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"479.5\" y=\"-14.3\">2</text>\n",
+        "</g>\n",
+        "<!-- 1&#45;&gt;2 -->\n",
+        "<g class=\"edge\" id=\"edge5\"><title>1-&gt;2</title>\n",
+        "<path d=\"M350.281,-59.4247C356.579,-53.6389 364.666,-47.153 373,-43 399.034,-30.0267 432.08,-23.6063 454.186,-20.5548\" fill=\"none\" stroke=\"black\"/>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"373\" y=\"-46.8\">!p0 &amp; !p1</text>\n",
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+        "<!-- 2&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge6\"><title>2-&gt;0</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"242\" y=\"-30.8\">!p0 &amp; !p1</text>\n",
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+        "<!-- 3 -->\n",
+        "<g class=\"node\" id=\"node6\"><title>3</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"618\" y=\"-43.3\">3</text>\n",
+        "</g>\n",
+        "<!-- 2&#45;&gt;3 -->\n",
+        "<g class=\"edge\" id=\"edge7\"><title>2-&gt;3</title>\n",
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+        "</g>\n",
+        "<!-- 3&#45;&gt;1 -->\n",
+        "<g class=\"edge\" id=\"edge8\"><title>3-&gt;1</title>\n",
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+        "</svg></TD></TR><TR><TD><svg height=\"161pt\" viewBox=\"0.00 0.00 389.00 161.12\" width=\"389pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
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+        "<title>G</title>\n",
+        "<polygon fill=\"white\" points=\"-4,4 -4,-267.292 651,-267.292 651,4 -4,4\" stroke=\"none\"/>\n",
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+        "<text fill=\"#5da5da\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"240.5\" y=\"-249.092\">\u24ff</text>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"431.5\" y=\"-249.092\">)</text>\n",
+        "<!-- I -->\n",
+        "<!-- 0 -->\n",
+        "<g class=\"node\" id=\"node2\"><title>0</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"56\" y=\"-104.592\">0</text>\n",
+        "</g>\n",
+        "<!-- I&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge1\"><title>I-&gt;0</title>\n",
+        "<path d=\"M1.15491,-108.292C2.79388,-108.292 17.1543,-108.292 30.6317,-108.292\" fill=\"none\" stroke=\"black\"/>\n",
+        "<polygon fill=\"black\" points=\"37.9419,-108.292 30.9419,-111.442 34.4419,-108.292 30.9419,-108.292 30.9419,-108.292 30.9419,-108.292 34.4419,-108.292 30.9418,-105.142 37.9419,-108.292 37.9419,-108.292\" stroke=\"black\"/>\n",
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+        "<!-- 4 -->\n",
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+        "<!-- 0&#45;&gt;4 -->\n",
+        "<g class=\"edge\" id=\"edge2\"><title>0-&gt;4</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"92\" y=\"-131.092\">p0 &amp; !p1</text>\n",
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+        "<!-- 2 -->\n",
+        "<g class=\"node\" id=\"node4\"><title>2</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"629\" y=\"-99.5923\">2</text>\n",
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+        "<g class=\"edge\" id=\"edge3\"><title>0-&gt;2</title>\n",
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+        "<g class=\"node\" id=\"node5\"><title>1</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"344.5\" y=\"-99.5923\">1</text>\n",
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+        "<g class=\"edge\" id=\"edge11\"><title>4-&gt;1</title>\n",
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+        "<g class=\"node\" id=\"node6\"><title>3</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"492.5\" y=\"-33.5923\">3</text>\n",
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+        "<g class=\"edge\" id=\"edge8\"><title>2-&gt;3</title>\n",
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+        "<g class=\"edge\" id=\"edge6\"><title>1-&gt;3</title>\n",
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+        "<g class=\"edge\" id=\"edge10\"><title>3-&gt;0</title>\n",
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+        "<!-- I -->\n",
+        "<!-- 0 -->\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"56\" y=\"-104.592\">0</text>\n",
+        "</g>\n",
+        "<!-- I&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge1\"><title>I-&gt;0</title>\n",
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+        "<!-- 4 -->\n",
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+        "</g>\n",
+        "<!-- 0&#45;&gt;4 -->\n",
+        "<g class=\"edge\" id=\"edge2\"><title>0-&gt;4</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"92\" y=\"-131.092\">p0 &amp; !p1</text>\n",
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+        "<g class=\"node\" id=\"node4\"><title>2</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"629\" y=\"-99.5923\">2</text>\n",
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+        "<g class=\"edge\" id=\"edge3\"><title>0-&gt;2</title>\n",
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+        "</g>\n",
+        "<!-- 4&#45;&gt;1 -->\n",
+        "<g class=\"edge\" id=\"edge11\"><title>4-&gt;1</title>\n",
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+        "<g class=\"edge\" id=\"edge7\"><title>2-&gt;1</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"492.5\" y=\"-33.5923\">3</text>\n",
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+        "<g class=\"edge\" id=\"edge8\"><title>2-&gt;3</title>\n",
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+        "<!-- 1&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge5\"><title>1-&gt;0</title>\n",
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+        "<g class=\"edge\" id=\"edge4\"><title>1-&gt;2</title>\n",
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+        "<g class=\"edge\" id=\"edge6\"><title>1-&gt;3</title>\n",
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+        "<g class=\"edge\" id=\"edge10\"><title>3-&gt;0</title>\n",
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+        "<g class=\"edge\" id=\"edge9\"><title>3-&gt;2</title>\n",
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+        "<!-- I&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge1\"><title>I-&gt;0</title>\n",
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+        "<!-- 0&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge3\"><title>0-&gt;0</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"180\" y=\"-42.3\">2</text>\n",
+        "</g>\n",
+        "<!-- 0&#45;&gt;2 -->\n",
+        "<g class=\"edge\" id=\"edge2\"><title>0-&gt;2</title>\n",
+        "<path d=\"M73.7078,-22.6976C94.762,-27.3572 131.09,-35.3969 155.083,-40.7069\" fill=\"none\" stroke=\"black\"/>\n",
+        "<polygon fill=\"black\" points=\"162.103,-42.2604 154.587,-43.8233 158.685,-41.5041 155.268,-40.7477 155.268,-40.7477 155.268,-40.7477 158.685,-41.5041 155.949,-37.6722 162.103,-42.2604 162.103,-42.2604\" stroke=\"black\"/>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"92\" y=\"-41.8\">p0 &amp; p1</text>\n",
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+        "<g class=\"edge\" id=\"edge6\"><title>2-&gt;2</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"154\" y=\"-100.8\">p0 &amp; p1</text>\n",
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+        "<!-- 2&#45;&gt;3 -->\n",
+        "<g class=\"edge\" id=\"edge7\"><title>2-&gt;3</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"216\" y=\"-91.8\">p0 &amp; !p1</text>\n",
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+        "</g>\n",
+        "<!-- 1 -->\n",
+        "<g class=\"node\" id=\"node4\"><title>1</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"584\" y=\"-39.3\">1</text>\n",
+        "</g>\n",
+        "<!-- 1&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge5\"><title>1-&gt;0</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"289\" y=\"-3.8\">!p0 &amp; !p1</text>\n",
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+        "<!-- 1&#45;&gt;2 -->\n",
+        "<g class=\"edge\" id=\"edge4\"><title>1-&gt;2</title>\n",
+        "<path d=\"M565.754,-43.1287C501.945,-43.6049 279.115,-45.2678 205.103,-45.8201\" fill=\"none\" stroke=\"black\"/>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"366\" y=\"-47.8\">!p0 &amp; p1</text>\n",
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+        "<!-- 4 -->\n",
+        "<g class=\"node\" id=\"node6\"><title>4</title>\n",
+        "<ellipse cx=\"457\" cy=\"-89\" fill=\"#ffffaa\" rx=\"18\" ry=\"18\" stroke=\"black\"/>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"457\" y=\"-85.3\">4</text>\n",
+        "</g>\n",
+        "<!-- 3&#45;&gt;4 -->\n",
+        "<g class=\"edge\" id=\"edge8\"><title>3-&gt;4</title>\n",
+        "<path d=\"M336.512,-89C360.421,-89 404.1,-89 431.506,-89\" fill=\"none\" stroke=\"black\"/>\n",
+        "<polygon fill=\"black\" points=\"438.774,-89 431.774,-92.1501 435.274,-89 431.774,-89.0001 431.774,-89.0001 431.774,-89.0001 435.274,-89 431.774,-85.8501 438.774,-89 438.774,-89\" stroke=\"black\"/>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"367.5\" y=\"-106.8\">p0 &amp; p1</text>\n",
+        "<text fill=\"#faa43a\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"377.5\" y=\"-92.8\">\u2777</text>\n",
+        "<text fill=\"#b276b2\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"393.5\" y=\"-92.8\">\u2778</text>\n",
+        "</g>\n",
+        "<!-- 4&#45;&gt;1 -->\n",
+        "<g class=\"edge\" id=\"edge9\"><title>4-&gt;1</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"493\" y=\"-79.8\">p0 &amp; !p1</text>\n",
+        "</g>\n",
+        "</g>\n",
+        "</svg></TD><TD><svg height=\"94pt\" viewBox=\"0.00 0.00 389.00 94.38\" width=\"389pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
+        "<g class=\"graph\" id=\"graph0\" transform=\"scale(0.637705 0.637705) rotate(0) translate(4 144)\">\n",
+        "<title>G</title>\n",
+        "<polygon fill=\"white\" points=\"-4,4 -4,-144 606,-144 606,4 -4,4\" stroke=\"none\"/>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"225.5\" y=\"-125.8\">Inf(</text>\n",
+        "<text fill=\"#f17cb0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"247.5\" y=\"-125.8\">\u2776</text>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"263.5\" y=\"-125.8\">) | Fin(</text>\n",
+        "<text fill=\"#faa43a\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"303.5\" y=\"-125.8\">\u2777</text>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"372.5\" y=\"-125.8\">)</text>\n",
+        "<!-- I -->\n",
+        "<!-- 0 -->\n",
+        "<g class=\"node\" id=\"node2\"><title>0</title>\n",
+        "<ellipse cx=\"56\" cy=\"-19\" fill=\"#ffffaa\" rx=\"18\" ry=\"18\" stroke=\"black\"/>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"56\" y=\"-15.3\">0</text>\n",
+        "</g>\n",
+        "<!-- I&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge1\"><title>I-&gt;0</title>\n",
+        "<path d=\"M1.15491,-19C2.79388,-19 17.1543,-19 30.6317,-19\" fill=\"none\" stroke=\"black\"/>\n",
+        "<polygon fill=\"black\" points=\"37.9419,-19 30.9419,-22.1501 34.4419,-19 30.9419,-19.0001 30.9419,-19.0001 30.9419,-19.0001 34.4419,-19 30.9418,-15.8501 37.9419,-19 37.9419,-19\" stroke=\"black\"/>\n",
+        "</g>\n",
+        "<!-- 0&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge3\"><title>0-&gt;0</title>\n",
+        "<path d=\"M49.6208,-36.0373C48.3189,-45.8579 50.4453,-55 56,-55 60.166,-55 62.4036,-49.8576 62.7128,-43.1433\" fill=\"none\" stroke=\"black\"/>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"26.5\" y=\"-73.8\">!p0 &amp; !p1</text>\n",
+        "<text fill=\"#5da5da\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"48\" y=\"-58.8\">\u24ff</text>\n",
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+        "<g class=\"node\" id=\"node3\"><title>2</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"180\" y=\"-42.3\">2</text>\n",
+        "</g>\n",
+        "<!-- 0&#45;&gt;2 -->\n",
+        "<g class=\"edge\" id=\"edge2\"><title>0-&gt;2</title>\n",
+        "<path d=\"M73.7078,-22.6976C94.762,-27.3572 131.09,-35.3969 155.083,-40.7069\" fill=\"none\" stroke=\"black\"/>\n",
+        "<polygon fill=\"black\" points=\"162.103,-42.2604 154.587,-43.8233 158.685,-41.5041 155.268,-40.7477 155.268,-40.7477 155.268,-40.7477 158.685,-41.5041 155.949,-37.6722 162.103,-42.2604 162.103,-42.2604\" stroke=\"black\"/>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"92\" y=\"-41.8\">p0 &amp; p1</text>\n",
+        "</g>\n",
+        "<!-- 2&#45;&gt;2 -->\n",
+        "<g class=\"edge\" id=\"edge6\"><title>2-&gt;2</title>\n",
+        "<path d=\"M169.627,-60.7917C166.249,-71.4165 169.707,-82 180,-82 187.881,-82 191.754,-75.7961 191.622,-68.1197\" fill=\"none\" stroke=\"black\"/>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"154\" y=\"-100.8\">p0 &amp; p1</text>\n",
+        "<text fill=\"#5da5da\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"172\" y=\"-85.8\">\u24ff</text>\n",
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+        "<g class=\"node\" id=\"node5\"><title>3</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"318.5\" y=\"-85.3\">3</text>\n",
+        "</g>\n",
+        "<!-- 2&#45;&gt;3 -->\n",
+        "<g class=\"edge\" id=\"edge7\"><title>2-&gt;3</title>\n",
+        "<path d=\"M197.465,-51.1868C221.549,-58.7736 266.503,-72.935 294.039,-81.6094\" fill=\"none\" stroke=\"black\"/>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"216\" y=\"-91.8\">p0 &amp; !p1</text>\n",
+        "<text fill=\"#f17cb0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"235.5\" y=\"-76.8\">\u2776</text>\n",
+        "</g>\n",
+        "<!-- 1 -->\n",
+        "<g class=\"node\" id=\"node4\"><title>1</title>\n",
+        "<ellipse cx=\"584\" cy=\"-43\" fill=\"#ffffaa\" rx=\"18\" ry=\"18\" stroke=\"black\"/>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"584\" y=\"-39.3\">1</text>\n",
+        "</g>\n",
+        "<!-- 1&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge5\"><title>1-&gt;0</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"289\" y=\"-3.8\">!p0 &amp; !p1</text>\n",
+        "</g>\n",
+        "<!-- 1&#45;&gt;2 -->\n",
+        "<g class=\"edge\" id=\"edge4\"><title>1-&gt;2</title>\n",
+        "<path d=\"M565.754,-43.1287C501.945,-43.6049 279.115,-45.2678 205.103,-45.8201\" fill=\"none\" stroke=\"black\"/>\n",
+        "<polygon fill=\"black\" points=\"198.017,-45.873 204.993,-42.6708 201.517,-45.8468 205.016,-45.8207 205.016,-45.8207 205.016,-45.8207 201.517,-45.8468 205.04,-48.9706 198.017,-45.873 198.017,-45.873\" stroke=\"black\"/>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"366\" y=\"-47.8\">!p0 &amp; p1</text>\n",
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+        "<g class=\"node\" id=\"node6\"><title>4</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"457\" y=\"-85.3\">4</text>\n",
+        "</g>\n",
+        "<!-- 3&#45;&gt;4 -->\n",
+        "<g class=\"edge\" id=\"edge8\"><title>3-&gt;4</title>\n",
+        "<path d=\"M336.512,-89C360.421,-89 404.1,-89 431.506,-89\" fill=\"none\" stroke=\"black\"/>\n",
+        "<polygon fill=\"black\" points=\"438.774,-89 431.774,-92.1501 435.274,-89 431.774,-89.0001 431.774,-89.0001 431.774,-89.0001 435.274,-89 431.774,-85.8501 438.774,-89 438.774,-89\" stroke=\"black\"/>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"367.5\" y=\"-106.8\">p0 &amp; p1</text>\n",
+        "<text fill=\"#f17cb0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"377.5\" y=\"-92.8\">\u2776</text>\n",
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+        "</g>\n",
+        "<!-- 4&#45;&gt;1 -->\n",
+        "<g class=\"edge\" id=\"edge9\"><title>4-&gt;1</title>\n",
+        "<path d=\"M474.328,-83.4085C492.413,-77.1655 522.402,-66.6662 548,-57 552.001,-55.4893 556.239,-53.8377 560.334,-52.2155\" fill=\"none\" stroke=\"black\"/>\n",
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+        "</g>\n",
+        "</g>\n",
+        "</svg></TD></TR><TR><TD><svg height=\"95pt\" viewBox=\"0.00 0.00 389.00 95.32\" width=\"389pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
+        "<g class=\"graph\" id=\"graph0\" transform=\"scale(0.63355 0.63355) rotate(0) translate(4 146.457)\">\n",
+        "<title>G</title>\n",
+        "<polygon fill=\"white\" points=\"-4,4 -4,-146.457 610,-146.457 610,4 -4,4\" stroke=\"none\"/>\n",
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+        "</g>\n",
+        "<!-- I&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge1\"><title>I-&gt;0</title>\n",
+        "<path d=\"M1.15491,-44.4574C2.79388,-44.4574 17.1543,-44.4574 30.6317,-44.4574\" fill=\"none\" stroke=\"black\"/>\n",
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+        "<!-- 0&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge4\"><title>0-&gt;0</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"26.5\" y=\"-84.2574\">!p0 &amp; !p1</text>\n",
+        "</g>\n",
+        "<!-- 2 -->\n",
+        "<g class=\"node\" id=\"node3\"><title>2</title>\n",
+        "<ellipse cx=\"461\" cy=\"-66.4574\" fill=\"#ffffaa\" rx=\"18\" ry=\"18\" stroke=\"black\"/>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"461\" y=\"-62.7574\">2</text>\n",
+        "</g>\n",
+        "<!-- 0&#45;&gt;2 -->\n",
+        "<g class=\"edge\" id=\"edge2\"><title>0-&gt;2</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"242\" y=\"-108.257\">!p0 &amp; !p1</text>\n",
+        "</g>\n",
+        "<!-- 1 -->\n",
+        "<g class=\"node\" id=\"node4\"><title>1</title>\n",
+        "<ellipse cx=\"196.5\" cy=\"-44.4574\" fill=\"#ffffaa\" rx=\"18\" ry=\"18\" stroke=\"black\"/>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"196.5\" y=\"-40.7574\">1</text>\n",
+        "</g>\n",
+        "<!-- 0&#45;&gt;1 -->\n",
+        "<g class=\"edge\" id=\"edge3\"><title>0-&gt;1</title>\n",
+        "<path d=\"M74.2611,-44.4574C98.7573,-44.4574 143.707,-44.4574 171.456,-44.4574\" fill=\"none\" stroke=\"black\"/>\n",
+        "<polygon fill=\"black\" points=\"178.456,-44.4574 171.457,-47.6075 174.956,-44.4575 171.456,-44.4575 171.456,-44.4575 171.456,-44.4575 174.956,-44.4575 171.456,-41.3075 178.456,-44.4574 178.456,-44.4574\" stroke=\"black\"/>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"92\" y=\"-63.2574\">!p0 &amp; !p1</text>\n",
+        "<text fill=\"#b276b2\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"113.5\" y=\"-48.2574\">\u2778</text>\n",
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+        "<g class=\"node\" id=\"node6\"><title>4</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"588\" y=\"-62.7574\">4</text>\n",
+        "</g>\n",
+        "<!-- 2&#45;&gt;4 -->\n",
+        "<g class=\"edge\" id=\"edge6\"><title>2-&gt;4</title>\n",
+        "<path d=\"M479.119,-66.4574C500.691,-66.4574 537.912,-66.4574 562.495,-66.4574\" fill=\"none\" stroke=\"black\"/>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"497\" y=\"-85.2574\">p0 &amp; !p1</text>\n",
+        "<text fill=\"#faa43a\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"516.5\" y=\"-70.2574\">\u2777</text>\n",
+        "</g>\n",
+        "<!-- 3 -->\n",
+        "<g class=\"node\" id=\"node5\"><title>3</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"337\" y=\"-35.7574\">3</text>\n",
+        "</g>\n",
+        "<!-- 1&#45;&gt;3 -->\n",
+        "<g class=\"edge\" id=\"edge5\"><title>1-&gt;3</title>\n",
+        "<path d=\"M214.807,-42.5817C223.034,-41.772 233.013,-40.9084 242,-40.4574 265.599,-39.2731 292.571,-39.1086 311.553,-39.1891\" fill=\"none\" stroke=\"black\"/>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"242\" y=\"-58.2574\">!p0 &amp; !p1</text>\n",
+        "<text fill=\"#faa43a\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"255.5\" y=\"-44.2574\">\u2777</text>\n",
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+        "</g>\n",
+        "<!-- 3&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge8\"><title>3-&gt;0</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"169\" y=\"-6.25745\">p0 &amp; !p1</text>\n",
+        "</g>\n",
+        "<!-- 3&#45;&gt;2 -->\n",
+        "<g class=\"edge\" id=\"edge7\"><title>3-&gt;2</title>\n",
+        "<path d=\"M355.038,-39.3705C372.845,-39.7041 401.421,-41.4457 425,-48.4574 429.664,-49.8445 434.442,-51.8529 438.91,-54.0296\" fill=\"none\" stroke=\"black\"/>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"373\" y=\"-66.2574\">p0 &amp; p1</text>\n",
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+        "<path d=\"M572.689,-56.5917C566.598,-52.964 559.237,-49.2952 552,-47.4574 528.307,-41.4413 520.693,-41.4413 497,-47.4574 492.137,-48.6922 487.219,-50.7535 482.668,-53.0735\" fill=\"none\" stroke=\"black\"/>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"498.5\" y=\"-51.2574\">p0 &amp; p1</text>\n",
+        "</g>\n",
+        "</g>\n",
+        "</svg></TD><TD><svg height=\"95pt\" viewBox=\"0.00 0.00 389.00 95.32\" width=\"389pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
+        "<g class=\"graph\" id=\"graph0\" transform=\"scale(0.63355 0.63355) rotate(0) translate(4 146.457)\">\n",
+        "<title>G</title>\n",
+        "<polygon fill=\"white\" points=\"-4,4 -4,-146.457 610,-146.457 610,4 -4,4\" stroke=\"none\"/>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"218.5\" y=\"-128.257\">Fin(</text>\n",
+        "<text fill=\"#f17cb0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"243.5\" y=\"-128.257\">\u2776</text>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"259.5\" y=\"-128.257\">) &amp; Fin(</text>\n",
+        "<text fill=\"#5da5da\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"305.5\" y=\"-128.257\">\u24ff</text>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"321.5\" y=\"-128.257\">) &amp; Fin(</text>\n",
+        "<text fill=\"#faa43a\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"367.5\" y=\"-128.257\">\u2777</text>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"383.5\" y=\"-128.257\">)</text>\n",
+        "<!-- I -->\n",
+        "<!-- 0 -->\n",
+        "<g class=\"node\" id=\"node2\"><title>0</title>\n",
+        "<ellipse cx=\"56\" cy=\"-44.4574\" fill=\"#ffffaa\" rx=\"18\" ry=\"18\" stroke=\"black\"/>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"56\" y=\"-40.7574\">0</text>\n",
+        "</g>\n",
+        "<!-- I&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge1\"><title>I-&gt;0</title>\n",
+        "<path d=\"M1.15491,-44.4574C2.79388,-44.4574 17.1543,-44.4574 30.6317,-44.4574\" fill=\"none\" stroke=\"black\"/>\n",
+        "<polygon fill=\"black\" points=\"37.9419,-44.4574 30.9419,-47.6075 34.4419,-44.4575 30.9419,-44.4575 30.9419,-44.4575 30.9419,-44.4575 34.4419,-44.4575 30.9418,-41.3075 37.9419,-44.4574 37.9419,-44.4574\" stroke=\"black\"/>\n",
+        "</g>\n",
+        "<!-- 0&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge4\"><title>0-&gt;0</title>\n",
+        "<path d=\"M49.6208,-61.4948C48.3189,-71.3154 50.4453,-80.4574 56,-80.4574 60.166,-80.4574 62.4036,-75.315 62.7128,-68.6007\" fill=\"none\" stroke=\"black\"/>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"26.5\" y=\"-84.2574\">!p0 &amp; !p1</text>\n",
+        "</g>\n",
+        "<!-- 2 -->\n",
+        "<g class=\"node\" id=\"node3\"><title>2</title>\n",
+        "<ellipse cx=\"461\" cy=\"-66.4574\" fill=\"#ffffaa\" rx=\"18\" ry=\"18\" stroke=\"black\"/>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"461\" y=\"-62.7574\">2</text>\n",
+        "</g>\n",
+        "<!-- 0&#45;&gt;2 -->\n",
+        "<g class=\"edge\" id=\"edge2\"><title>0-&gt;2</title>\n",
+        "<path d=\"M67.7291,-58.2601C73.9738,-65.1392 82.4828,-72.7625 92,-76.4574 229.967,-130.022 278.431,-96.9852 425,-76.4574 428.912,-75.9096 432.999,-75.0332 436.944,-74.0214\" fill=\"none\" stroke=\"black\"/>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"242\" y=\"-108.257\">!p0 &amp; !p1</text>\n",
+        "</g>\n",
+        "<!-- 1 -->\n",
+        "<g class=\"node\" id=\"node4\"><title>1</title>\n",
+        "<ellipse cx=\"196.5\" cy=\"-44.4574\" fill=\"#ffffaa\" rx=\"18\" ry=\"18\" stroke=\"black\"/>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"196.5\" y=\"-40.7574\">1</text>\n",
+        "</g>\n",
+        "<!-- 0&#45;&gt;1 -->\n",
+        "<g class=\"edge\" id=\"edge3\"><title>0-&gt;1</title>\n",
+        "<path d=\"M74.2611,-44.4574C98.7573,-44.4574 143.707,-44.4574 171.456,-44.4574\" fill=\"none\" stroke=\"black\"/>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"92\" y=\"-63.2574\">!p0 &amp; !p1</text>\n",
+        "<text fill=\"#faa43a\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"113.5\" y=\"-48.2574\">\u2777</text>\n",
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+        "<!-- 4 -->\n",
+        "<g class=\"node\" id=\"node6\"><title>4</title>\n",
+        "<ellipse cx=\"588\" cy=\"-66.4574\" fill=\"#ffffaa\" rx=\"18\" ry=\"18\" stroke=\"black\"/>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"588\" y=\"-62.7574\">4</text>\n",
+        "</g>\n",
+        "<!-- 2&#45;&gt;4 -->\n",
+        "<g class=\"edge\" id=\"edge6\"><title>2-&gt;4</title>\n",
+        "<path d=\"M479.119,-66.4574C500.691,-66.4574 537.912,-66.4574 562.495,-66.4574\" fill=\"none\" stroke=\"black\"/>\n",
+        "<polygon fill=\"black\" points=\"569.687,-66.4574 562.687,-69.6075 566.187,-66.4575 562.687,-66.4575 562.687,-66.4575 562.687,-66.4575 566.187,-66.4575 562.687,-63.3075 569.687,-66.4574 569.687,-66.4574\" stroke=\"black\"/>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"497\" y=\"-85.2574\">p0 &amp; !p1</text>\n",
+        "<text fill=\"#f17cb0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"516.5\" y=\"-70.2574\">\u2776</text>\n",
+        "</g>\n",
+        "<!-- 3 -->\n",
+        "<g class=\"node\" id=\"node5\"><title>3</title>\n",
+        "<ellipse cx=\"337\" cy=\"-39.4574\" fill=\"#ffffaa\" rx=\"18\" ry=\"18\" stroke=\"black\"/>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"337\" y=\"-35.7574\">3</text>\n",
+        "</g>\n",
+        "<!-- 1&#45;&gt;3 -->\n",
+        "<g class=\"edge\" id=\"edge5\"><title>1-&gt;3</title>\n",
+        "<path d=\"M214.807,-42.5817C223.034,-41.772 233.013,-40.9084 242,-40.4574 265.599,-39.2731 292.571,-39.1086 311.553,-39.1891\" fill=\"none\" stroke=\"black\"/>\n",
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+        "</g>\n",
+        "<!-- 3&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge8\"><title>3-&gt;0</title>\n",
+        "<path d=\"M320.425,-31.7687C290.988,-18.1834 225.102,7.71572 169,-2.45745 136.409,-8.36739 100.952,-23.2169 78.8524,-33.5722\" fill=\"none\" stroke=\"black\"/>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"169\" y=\"-6.25745\">p0 &amp; !p1</text>\n",
+        "</g>\n",
+        "<!-- 3&#45;&gt;2 -->\n",
+        "<g class=\"edge\" id=\"edge7\"><title>3-&gt;2</title>\n",
+        "<path d=\"M355.038,-39.3705C372.845,-39.7041 401.421,-41.4457 425,-48.4574 429.664,-49.8445 434.442,-51.8529 438.91,-54.0296\" fill=\"none\" stroke=\"black\"/>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"373\" y=\"-66.2574\">p0 &amp; p1</text>\n",
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+        "</g>\n",
+        "<!-- 4&#45;&gt;2 -->\n",
+        "<g class=\"edge\" id=\"edge9\"><title>4-&gt;2</title>\n",
+        "<path d=\"M572.689,-56.5917C566.598,-52.964 559.237,-49.2952 552,-47.4574 528.307,-41.4413 520.693,-41.4413 497,-47.4574 492.137,-48.6922 487.219,-50.7535 482.668,-53.0735\" fill=\"none\" stroke=\"black\"/>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"498.5\" y=\"-51.2574\">p0 &amp; p1</text>\n",
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+        "<polygon fill=\"white\" points=\"-4,4 -4,-219 482,-219 482,4 -4,4\" stroke=\"none\"/>\n",
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+        "<!-- I -->\n",
+        "<!-- 0 -->\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"56\" y=\"-71.3\">0</text>\n",
+        "</g>\n",
+        "<!-- I&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge1\"><title>I-&gt;0</title>\n",
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+        "<polygon fill=\"black\" points=\"37.9419,-75 30.9419,-78.1501 34.4419,-75 30.9419,-75.0001 30.9419,-75.0001 30.9419,-75.0001 34.4419,-75 30.9418,-71.8501 37.9419,-75 37.9419,-75\" stroke=\"black\"/>\n",
+        "</g>\n",
+        "<!-- 1 -->\n",
+        "<g class=\"node\" id=\"node3\"><title>1</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"194.5\" y=\"-39.3\">1</text>\n",
+        "</g>\n",
+        "<!-- 0&#45;&gt;1 -->\n",
+        "<g class=\"edge\" id=\"edge2\"><title>0-&gt;1</title>\n",
+        "<path d=\"M71.3705,-65.0479C77.4707,-61.2955 84.8216,-57.3662 92,-55 117.365,-46.6388 147.991,-43.9613 168.922,-43.1744\" fill=\"none\" stroke=\"black\"/>\n",
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+        "<!-- 3 -->\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"460\" y=\"-141.3\">3</text>\n",
+        "</g>\n",
+        "<!-- 0&#45;&gt;3 -->\n",
+        "<g class=\"edge\" id=\"edge3\"><title>0-&gt;3</title>\n",
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+        "<!-- 2 -->\n",
+        "<g class=\"node\" id=\"node5\"><title>2</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"333\" y=\"-71.3\">2</text>\n",
+        "</g>\n",
+        "<!-- 1&#45;&gt;2 -->\n",
+        "<g class=\"edge\" id=\"edge4\"><title>1-&gt;2</title>\n",
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+        "<g class=\"edge\" id=\"edge8\"><title>3-&gt;2</title>\n",
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+        "<g class=\"edge\" id=\"edge5\"><title>2-&gt;0</title>\n",
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+        "</g>\n",
+        "<!-- 2&#45;&gt;3 -->\n",
+        "<g class=\"edge\" id=\"edge6\"><title>2-&gt;3</title>\n",
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+        "<g class=\"node\" id=\"node6\"><title>4</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"460\" y=\"-14.3\">4</text>\n",
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+        "<!-- 2&#45;&gt;4 -->\n",
+        "<g class=\"edge\" id=\"edge7\"><title>2-&gt;4</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"369\" y=\"-22.8\">!p0 &amp; p1</text>\n",
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+        "<!-- 4&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge9\"><title>4-&gt;0</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"242\" y=\"-10.8\">p0 &amp; !p1</text>\n",
+        "</g>\n",
+        "<!-- 4&#45;&gt;2 -->\n",
+        "<g class=\"edge\" id=\"edge10\"><title>4-&gt;2</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"369\" y=\"-60.8\">!p0 &amp; p1</text>\n",
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+        "<text fill=\"#faa43a\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"322\" y=\"-200.8\">\u2777</text>\n",
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+        "<!-- I -->\n",
+        "<!-- 0 -->\n",
+        "<g class=\"node\" id=\"node2\"><title>0</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"56\" y=\"-71.3\">0</text>\n",
+        "</g>\n",
+        "<!-- I&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge1\"><title>I-&gt;0</title>\n",
+        "<path d=\"M1.15491,-75C2.79388,-75 17.1543,-75 30.6317,-75\" fill=\"none\" stroke=\"black\"/>\n",
+        "<polygon fill=\"black\" points=\"37.9419,-75 30.9419,-78.1501 34.4419,-75 30.9419,-75.0001 30.9419,-75.0001 30.9419,-75.0001 34.4419,-75 30.9418,-71.8501 37.9419,-75 37.9419,-75\" stroke=\"black\"/>\n",
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+        "<!-- 1 -->\n",
+        "<g class=\"node\" id=\"node3\"><title>1</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"194.5\" y=\"-39.3\">1</text>\n",
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+        "<!-- 0&#45;&gt;1 -->\n",
+        "<g class=\"edge\" id=\"edge2\"><title>0-&gt;1</title>\n",
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+        "<g class=\"node\" id=\"node4\"><title>3</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"460\" y=\"-141.3\">3</text>\n",
+        "</g>\n",
+        "<!-- 0&#45;&gt;3 -->\n",
+        "<g class=\"edge\" id=\"edge3\"><title>0-&gt;3</title>\n",
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+        "<g class=\"node\" id=\"node5\"><title>2</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"333\" y=\"-71.3\">2</text>\n",
+        "</g>\n",
+        "<!-- 1&#45;&gt;2 -->\n",
+        "<g class=\"edge\" id=\"edge4\"><title>1-&gt;2</title>\n",
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+        "<g class=\"edge\" id=\"edge8\"><title>3-&gt;2</title>\n",
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+        "<g class=\"edge\" id=\"edge5\"><title>2-&gt;0</title>\n",
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+        "</g>\n",
+        "<!-- 2&#45;&gt;3 -->\n",
+        "<g class=\"edge\" id=\"edge6\"><title>2-&gt;3</title>\n",
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+        "<g class=\"edge\" id=\"edge10\"><title>4-&gt;2</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"56\" y=\"-14.3\">0</text>\n",
+        "</g>\n",
+        "<!-- I&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge1\"><title>I-&gt;0</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"188\" y=\"-57.3\">3</text>\n",
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+        "<g class=\"edge\" id=\"edge2\"><title>0-&gt;3</title>\n",
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+        "<g class=\"edge\" id=\"edge8\"><title>3-&gt;2</title>\n",
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+        "<g class=\"edge\" id=\"edge4\"><title>1-&gt;3</title>\n",
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+        "<g class=\"edge\" id=\"edge9\"><title>4-&gt;2</title>\n",
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+        "<!-- I&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge1\"><title>I-&gt;0</title>\n",
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+        "<g class=\"edge\" id=\"edge9\"><title>4-&gt;2</title>\n",
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+        "<!-- 4&#45;&gt;1 -->\n",
+        "<g class=\"edge\" id=\"edge10\"><title>4-&gt;1</title>\n",
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+        "<!-- I -->\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"56\" y=\"-29.3\">0</text>\n",
+        "</g>\n",
+        "<!-- I&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge1\"><title>I-&gt;0</title>\n",
+        "<path d=\"M1.15491,-33C2.79388,-33 17.1543,-33 30.6317,-33\" fill=\"none\" stroke=\"black\"/>\n",
+        "<polygon fill=\"black\" points=\"37.9419,-33 30.9419,-36.1501 34.4419,-33 30.9419,-33.0001 30.9419,-33.0001 30.9419,-33.0001 34.4419,-33 30.9418,-29.8501 37.9419,-33 37.9419,-33\" stroke=\"black\"/>\n",
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+        "<!-- 1 -->\n",
+        "<g class=\"node\" id=\"node3\"><title>1</title>\n",
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+        "<!-- 0&#45;&gt;1 -->\n",
+        "<g class=\"edge\" id=\"edge2\"><title>0-&gt;1</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"92\" y=\"-78.8\">p0 &amp; p1</text>\n",
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+        "<!-- 1&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge4\"><title>1-&gt;0</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"316.5\" y=\"-75.3\">2</text>\n",
+        "</g>\n",
+        "<!-- 1&#45;&gt;2 -->\n",
+        "<g class=\"edge\" id=\"edge3\"><title>1-&gt;2</title>\n",
+        "<path d=\"M198.035,-79C221.554,-79 264.11,-79 291.03,-79\" fill=\"none\" stroke=\"black\"/>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"216\" y=\"-82.8\">!p0 &amp; p1</text>\n",
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+        "<g class=\"node\" id=\"node5\"><title>4</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"458\" y=\"-108.3\">4</text>\n",
+        "</g>\n",
+        "<!-- 2&#45;&gt;4 -->\n",
+        "<g class=\"edge\" id=\"edge5\"><title>2-&gt;4</title>\n",
+        "<path d=\"M333.36,-85.4367C341.763,-88.6593 352.323,-92.4143 362,-95 385.827,-101.367 413.661,-106.032 433.017,-108.848\" fill=\"none\" stroke=\"black\"/>\n",
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+        "</g>\n",
+        "<!-- 4&#45;&gt;2 -->\n",
+        "<g class=\"edge\" id=\"edge9\"><title>4-&gt;2</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"362\" y=\"-79.8\">p0 &amp; p1</text>\n",
+        "</g>\n",
+        "<!-- 3 -->\n",
+        "<g class=\"node\" id=\"node6\"><title>3</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"593\" y=\"-42.3\">3</text>\n",
+        "</g>\n",
+        "<!-- 4&#45;&gt;3 -->\n",
+        "<g class=\"edge\" id=\"edge8\"><title>4-&gt;3</title>\n",
+        "<path d=\"M474.517,-104.3C498.143,-92.5758 543.224,-70.2046 570.151,-56.8423\" fill=\"none\" stroke=\"black\"/>\n",
+        "<polygon fill=\"black\" points=\"576.582,-53.6512 571.712,-59.5845 573.447,-55.207 570.311,-56.7628 570.311,-56.7628 570.311,-56.7628 573.447,-55.207 568.911,-53.9412 576.582,-53.6512 576.582,-53.6512\" stroke=\"black\"/>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"502\" y=\"-93.8\">p0 &amp; !p1</text>\n",
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+        "<!-- 3&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge7\"><title>3-&gt;0</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"289\" y=\"-3.8\">p0 &amp; !p1</text>\n",
+        "</g>\n",
+        "<!-- 3&#45;&gt;2 -->\n",
+        "<g class=\"edge\" id=\"edge6\"><title>3-&gt;2</title>\n",
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+        "</g>\n",
+        "</g>\n",
+        "</svg></TD><TD><svg height=\"104pt\" viewBox=\"0.00 0.00 389.00 104.32\" width=\"389pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
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+        "<title>G</title>\n",
+        "<polygon fill=\"white\" points=\"-4,4 -4,-162 615,-162 615,4 -4,4\" stroke=\"none\"/>\n",
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+        "<!-- I -->\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"56\" y=\"-29.3\">0</text>\n",
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+        "<!-- I&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge1\"><title>I-&gt;0</title>\n",
+        "<path d=\"M1.15491,-33C2.79388,-33 17.1543,-33 30.6317,-33\" fill=\"none\" stroke=\"black\"/>\n",
+        "<polygon fill=\"black\" points=\"37.9419,-33 30.9419,-36.1501 34.4419,-33 30.9419,-33.0001 30.9419,-33.0001 30.9419,-33.0001 34.4419,-33 30.9418,-29.8501 37.9419,-33 37.9419,-33\" stroke=\"black\"/>\n",
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+        "<g class=\"edge\" id=\"edge2\"><title>0-&gt;1</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"92\" y=\"-78.8\">p0 &amp; p1</text>\n",
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+        "<!-- 1&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge4\"><title>1-&gt;0</title>\n",
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+        "<g class=\"node\" id=\"node4\"><title>2</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"316.5\" y=\"-75.3\">2</text>\n",
+        "</g>\n",
+        "<!-- 1&#45;&gt;2 -->\n",
+        "<g class=\"edge\" id=\"edge3\"><title>1-&gt;2</title>\n",
+        "<path d=\"M198.035,-79C221.554,-79 264.11,-79 291.03,-79\" fill=\"none\" stroke=\"black\"/>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"216\" y=\"-82.8\">!p0 &amp; p1</text>\n",
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+        "<!-- 2&#45;&gt;4 -->\n",
+        "<g class=\"edge\" id=\"edge5\"><title>2-&gt;4</title>\n",
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+        "<!-- 4&#45;&gt;3 -->\n",
+        "<g class=\"edge\" id=\"edge8\"><title>4-&gt;3</title>\n",
+        "<path d=\"M474.517,-104.3C498.143,-92.5758 543.224,-70.2046 570.151,-56.8423\" fill=\"none\" stroke=\"black\"/>\n",
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+        "<!-- I&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge1\"><title>I-&gt;0</title>\n",
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+        "<polygon fill=\"black\" points=\"37.9419,-19 30.9419,-22.1501 34.4419,-19 30.9419,-19.0001 30.9419,-19.0001 30.9419,-19.0001 34.4419,-19 30.9418,-15.8501 37.9419,-19 37.9419,-19\" stroke=\"black\"/>\n",
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+        "<!-- 0&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge3\"><title>0-&gt;0</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"183\" y=\"-44.3\">4</text>\n",
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+        "<g class=\"edge\" id=\"edge2\"><title>0-&gt;4</title>\n",
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+        "<!-- 4&#45;&gt;4 -->\n",
+        "<g class=\"edge\" id=\"edge7\"><title>4-&gt;4</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"319.5\" y=\"-47.3\">2</text>\n",
+        "</g>\n",
+        "<!-- 4&#45;&gt;2 -->\n",
+        "<g class=\"edge\" id=\"edge8\"><title>4-&gt;2</title>\n",
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+        "<!-- 3 -->\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"580\" y=\"-16.3\">3</text>\n",
+        "</g>\n",
+        "<!-- 1&#45;&gt;3 -->\n",
+        "<g class=\"edge\" id=\"edge4\"><title>1-&gt;3</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"292\" y=\"-3.8\">!p0 &amp; p1</text>\n",
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+        "<!-- 2&#45;&gt;1 -->\n",
+        "<g class=\"edge\" id=\"edge5\"><title>2-&gt;1</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"56\" y=\"-15.3\">0</text>\n",
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+        "<!-- I&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge1\"><title>I-&gt;0</title>\n",
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+        "<polygon fill=\"black\" points=\"37.9419,-19 30.9419,-22.1501 34.4419,-19 30.9419,-19.0001 30.9419,-19.0001 30.9419,-19.0001 34.4419,-19 30.9418,-15.8501 37.9419,-19 37.9419,-19\" stroke=\"black\"/>\n",
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+        "<!-- 0&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge3\"><title>0-&gt;0</title>\n",
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+        "<g class=\"node\" id=\"node3\"><title>4</title>\n",
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+        "<!-- 0&#45;&gt;4 -->\n",
+        "<g class=\"edge\" id=\"edge2\"><title>0-&gt;4</title>\n",
+        "<path d=\"M73.599,-22.851C95.359,-27.8993 133.663,-36.7858 158.424,-42.5304\" fill=\"none\" stroke=\"black\"/>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"92\" y=\"-42.8\">!p0 &amp; p1</text>\n",
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+        "<!-- 4&#45;&gt;4 -->\n",
+        "<g class=\"edge\" id=\"edge7\"><title>4-&gt;4</title>\n",
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+        "<g class=\"node\" id=\"node6\"><title>2</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"319.5\" y=\"-47.3\">2</text>\n",
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+        "<g class=\"edge\" id=\"edge8\"><title>4-&gt;2</title>\n",
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+        "<g class=\"edge\" id=\"edge4\"><title>1-&gt;3</title>\n",
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+        "<g class=\"edge\" id=\"edge5\"><title>2-&gt;1</title>\n",
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+        "<g class=\"graph\" id=\"graph0\" transform=\"scale(0.660441 0.660441) rotate(0) translate(4 111)\">\n",
+        "<title>G</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"174\" y=\"-92.8\">((Fin(</text>\n",
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+        "<!-- I -->\n",
+        "<!-- 0 -->\n",
+        "<g class=\"node\" id=\"node2\"><title>0</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"56\" y=\"-14.3\">0</text>\n",
+        "</g>\n",
+        "<!-- I&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge1\"><title>I-&gt;0</title>\n",
+        "<path d=\"M1.15491,-18C2.79388,-18 17.1543,-18 30.6317,-18\" fill=\"none\" stroke=\"black\"/>\n",
+        "<polygon fill=\"black\" points=\"37.9419,-18 30.9419,-21.1501 34.4419,-18 30.9419,-18.0001 30.9419,-18.0001 30.9419,-18.0001 34.4419,-18 30.9418,-14.8501 37.9419,-18 37.9419,-18\" stroke=\"black\"/>\n",
+        "</g>\n",
+        "<!-- 0&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge3\"><title>0-&gt;0</title>\n",
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+        "<g class=\"node\" id=\"node3\"><title>1</title>\n",
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+        "<!-- 0&#45;&gt;1 -->\n",
+        "<g class=\"edge\" id=\"edge2\"><title>0-&gt;1</title>\n",
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+        "<polygon fill=\"black\" points=\"161.867,-18 154.867,-21.1501 158.367,-18 154.867,-18.0001 154.867,-18.0001 154.867,-18.0001 158.367,-18 154.867,-14.8501 161.867,-18 161.867,-18\" stroke=\"black\"/>\n",
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+        "<g class=\"node\" id=\"node4\"><title>4</title>\n",
+        "<ellipse cx=\"307\" cy=\"-18\" fill=\"#ffffaa\" rx=\"18\" ry=\"18\" stroke=\"black\"/>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"307\" y=\"-14.3\">4</text>\n",
+        "</g>\n",
+        "<!-- 1&#45;&gt;4 -->\n",
+        "<g class=\"edge\" id=\"edge4\"><title>1-&gt;4</title>\n",
+        "<path d=\"M198.119,-18C219.691,-18 256.912,-18 281.495,-18\" fill=\"none\" stroke=\"black\"/>\n",
+        "<polygon fill=\"black\" points=\"288.687,-18 281.687,-21.1501 285.187,-18 281.687,-18.0001 281.687,-18.0001 281.687,-18.0001 285.187,-18 281.687,-14.8501 288.687,-18 288.687,-18\" stroke=\"black\"/>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"216\" y=\"-21.8\">p0 &amp; !p1</text>\n",
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+        "<!-- 2 -->\n",
+        "<g class=\"node\" id=\"node5\"><title>2</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"431\" y=\"-14.3\">2</text>\n",
+        "</g>\n",
+        "<!-- 4&#45;&gt;2 -->\n",
+        "<g class=\"edge\" id=\"edge7\"><title>4-&gt;2</title>\n",
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+        "<polygon fill=\"black\" points=\"412.867,-18 405.867,-21.1501 409.367,-18 405.867,-18.0001 405.867,-18.0001 405.867,-18.0001 409.367,-18 405.867,-14.8501 412.867,-18 412.867,-18\" stroke=\"black\"/>\n",
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+        "<g class=\"node\" id=\"node6\"><title>3</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"555\" y=\"-14.3\">3</text>\n",
+        "</g>\n",
+        "<!-- 2&#45;&gt;3 -->\n",
+        "<g class=\"edge\" id=\"edge5\"><title>2-&gt;3</title>\n",
+        "<path d=\"M449.221,-18C470.202,-18 505.787,-18 529.587,-18\" fill=\"none\" stroke=\"black\"/>\n",
+        "<polygon fill=\"black\" points=\"536.867,-18 529.867,-21.1501 533.367,-18 529.867,-18.0001 529.867,-18.0001 529.867,-18.0001 533.367,-18 529.867,-14.8501 536.867,-18 536.867,-18\" stroke=\"black\"/>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"467\" y=\"-21.8\">p0 &amp; p1</text>\n",
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+        "<!-- 3&#45;&gt;3 -->\n",
+        "<g class=\"edge\" id=\"edge6\"><title>3-&gt;3</title>\n",
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+        "</svg></TD><TD><svg height=\"76pt\" viewBox=\"0.00 0.00 389.00 75.95\" width=\"389pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
+        "<g class=\"graph\" id=\"graph0\" transform=\"scale(0.660441 0.660441) rotate(0) translate(4 111)\">\n",
+        "<title>G</title>\n",
+        "<polygon fill=\"white\" points=\"-4,4 -4,-111 585,-111 585,4 -4,4\" stroke=\"none\"/>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"208.5\" y=\"-92.8\">(Inf(</text>\n",
+        "<text fill=\"#faa43a\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"233.5\" y=\"-92.8\">\u2777</text>\n",
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+        "<!-- I -->\n",
+        "<!-- 0 -->\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"56\" y=\"-14.3\">0</text>\n",
+        "</g>\n",
+        "<!-- I&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge1\"><title>I-&gt;0</title>\n",
+        "<path d=\"M1.15491,-18C2.79388,-18 17.1543,-18 30.6317,-18\" fill=\"none\" stroke=\"black\"/>\n",
+        "<polygon fill=\"black\" points=\"37.9419,-18 30.9419,-21.1501 34.4419,-18 30.9419,-18.0001 30.9419,-18.0001 30.9419,-18.0001 34.4419,-18 30.9418,-14.8501 37.9419,-18 37.9419,-18\" stroke=\"black\"/>\n",
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+        "<!-- 0&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge3\"><title>0-&gt;0</title>\n",
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+        "<g class=\"edge\" id=\"edge2\"><title>0-&gt;1</title>\n",
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+        "<polygon fill=\"black\" points=\"161.867,-18 154.867,-21.1501 158.367,-18 154.867,-18.0001 154.867,-18.0001 154.867,-18.0001 158.367,-18 154.867,-14.8501 161.867,-18 161.867,-18\" stroke=\"black\"/>\n",
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+        "<!-- 4 -->\n",
+        "<g class=\"node\" id=\"node4\"><title>4</title>\n",
+        "<ellipse cx=\"307\" cy=\"-18\" fill=\"#ffffaa\" rx=\"18\" ry=\"18\" stroke=\"black\"/>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"307\" y=\"-14.3\">4</text>\n",
+        "</g>\n",
+        "<!-- 1&#45;&gt;4 -->\n",
+        "<g class=\"edge\" id=\"edge4\"><title>1-&gt;4</title>\n",
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+        "<polygon fill=\"black\" points=\"288.687,-18 281.687,-21.1501 285.187,-18 281.687,-18.0001 281.687,-18.0001 281.687,-18.0001 285.187,-18 281.687,-14.8501 288.687,-18 288.687,-18\" stroke=\"black\"/>\n",
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+        "<g class=\"node\" id=\"node5\"><title>2</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"431\" y=\"-14.3\">2</text>\n",
+        "</g>\n",
+        "<!-- 4&#45;&gt;2 -->\n",
+        "<g class=\"edge\" id=\"edge7\"><title>4-&gt;2</title>\n",
+        "<path d=\"M325.221,-18C346.202,-18 381.787,-18 405.587,-18\" fill=\"none\" stroke=\"black\"/>\n",
+        "<polygon fill=\"black\" points=\"412.867,-18 405.867,-21.1501 409.367,-18 405.867,-18.0001 405.867,-18.0001 405.867,-18.0001 409.367,-18 405.867,-14.8501 412.867,-18 412.867,-18\" stroke=\"black\"/>\n",
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+        "<g class=\"node\" id=\"node6\"><title>3</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"555\" y=\"-14.3\">3</text>\n",
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+        "<g class=\"edge\" id=\"edge5\"><title>2-&gt;3</title>\n",
+        "<path d=\"M449.221,-18C470.202,-18 505.787,-18 529.587,-18\" fill=\"none\" stroke=\"black\"/>\n",
+        "<polygon fill=\"black\" points=\"536.867,-18 529.867,-21.1501 533.367,-18 529.867,-18.0001 529.867,-18.0001 529.867,-18.0001 533.367,-18 529.867,-14.8501 536.867,-18 536.867,-18\" stroke=\"black\"/>\n",
+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"467\" y=\"-21.8\">p0 &amp; p1</text>\n",
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+        "<!-- 3&#45;&gt;3 -->\n",
+        "<g class=\"edge\" id=\"edge6\"><title>3-&gt;3</title>\n",
+        "<path d=\"M544.627,-32.7917C541.249,-43.4165 544.707,-54 555,-54 562.881,-54 566.754,-47.7961 566.622,-40.1197\" fill=\"none\" stroke=\"black\"/>\n",
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+        "</svg></TD></TR><TR><TD><svg height=\"131pt\" viewBox=\"0.00 0.00 389.00 131.14\" width=\"389pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
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+        "<!-- I&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge1\"><title>I-&gt;0</title>\n",
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+        "<polygon fill=\"black\" points=\"37.9419,-48 30.9419,-51.1501 34.4419,-48 30.9419,-48.0001 30.9419,-48.0001 30.9419,-48.0001 34.4419,-48 30.9418,-44.8501 37.9419,-48 37.9419,-48\" stroke=\"black\"/>\n",
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+        "<g class=\"edge\" id=\"edge2\"><title>0-&gt;4</title>\n",
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+        "</g>\n",
+        "<!-- 4&#45;&gt;1 -->\n",
+        "<g class=\"edge\" id=\"edge11\"><title>4-&gt;1</title>\n",
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+        "<!-- 2 -->\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"623\" y=\"-100.3\">2</text>\n",
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-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"437\" y=\"-57.8\">!p0 &amp; p1</text>\n",
+        "<!-- 4&#45;&gt;2 -->\n",
+        "<g class=\"edge\" id=\"edge10\"><title>4-&gt;2</title>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"387\" y=\"-179.8\">!p0 &amp; p1</text>\n",
+        "</g>\n",
+        "<!-- 1&#45;&gt;0 -->\n",
+        "<g class=\"edge\" id=\"edge4\"><title>1-&gt;0</title>\n",
+        "<path d=\"M320.078,-79.247C297.674,-72.9814 256.176,-62.1514 220,-57 171.165,-50.0459 113.39,-48.3875 81.4045,-48.0385\" fill=\"none\" stroke=\"black\"/>\n",
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+        "<g class=\"edge\" id=\"edge3\"><title>1-&gt;3</title>\n",
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-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"362\" y=\"-135.8\">p0 &amp; !p1</text>\n",
+        "<!-- 3&#45;&gt;1 -->\n",
+        "<g class=\"edge\" id=\"edge9\"><title>3-&gt;1</title>\n",
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-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"165\" y=\"-82.8\">!p0 &amp; p1</text>\n",
+        "<g class=\"edge\" id=\"edge7\"><title>2-&gt;0</title>\n",
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+        "<g class=\"edge\" id=\"edge5\"><title>2-&gt;1</title>\n",
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+        "</g>\n",
+        "<!-- 2&#45;&gt;2 -->\n",
+        "<g class=\"edge\" id=\"edge6\"><title>2-&gt;2</title>\n",
+        "<path d=\"M612.627,-118.792C609.249,-129.417 612.707,-140 623,-140 630.881,-140 634.754,-133.796 634.622,-126.12\" fill=\"none\" stroke=\"black\"/>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"243.25\" y=\"-199.8\">Fin(</text>\n",
+        "<text fill=\"#faa43a\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"268.25\" y=\"-199.8\">\u2777</text>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"347.25\" y=\"-199.8\">)&amp;Inf(</text>\n",
+        "<text fill=\"#f17cb0\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"383.25\" y=\"-199.8\">\u2776</text>\n",
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-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"56\" y=\"-102.3\">0</text>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"56\" y=\"-44.3\">0</text>\n",
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+        "<path d=\"M1.15491,-48C2.79388,-48 17.1543,-48 30.6317,-48\" fill=\"none\" stroke=\"black\"/>\n",
+        "<polygon fill=\"black\" points=\"37.9419,-48 30.9419,-51.1501 34.4419,-48 30.9419,-48.0001 30.9419,-48.0001 30.9419,-48.0001 34.4419,-48 30.9418,-44.8501 37.9419,-48 37.9419,-48\" stroke=\"black\"/>\n",
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+        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"192.5\" y=\"-110.3\">4</text>\n",
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-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"92\" y=\"-128.8\">!p0 &amp; p1</text>\n",
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+        "<g class=\"edge\" id=\"edge11\"><title>4-&gt;1</title>\n",
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-        "<!-- I -->\n",
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-        "<g class=\"edge\" id=\"edge1\"><title>I-&gt;0</title>\n",
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-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"500\" y=\"-48.8\">p0 &amp; !p1</text>\n",
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-        "<g class=\"edge\" id=\"edge6\"><title>3-&gt;4</title>\n",
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-        "<!-- 3&#45;&gt;2 -->\n",
-        "<g class=\"edge\" id=\"edge7\"><title>3-&gt;2</title>\n",
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-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"350\" y=\"-48.8\">!p0 &amp; !p1</text>\n",
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-        "<!-- 2&#45;&gt;2 -->\n",
-        "<g class=\"edge\" id=\"edge4\"><title>2-&gt;2</title>\n",
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-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"276\" y=\"-119.8\">)&amp;Inf(</text>\n",
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-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"328\" y=\"-119.8\">)&amp;Inf(</text>\n",
-        "<text fill=\"#faa43a\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"364\" y=\"-119.8\">\u2777</text>\n",
-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"380\" y=\"-119.8\">)</text>\n",
-        "<!-- I -->\n",
-        "<!-- 0 -->\n",
-        "<g class=\"node\" id=\"node2\"><title>0</title>\n",
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-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"56\" y=\"-15.3\">0</text>\n",
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-        "<!-- I&#45;&gt;0 -->\n",
-        "<g class=\"edge\" id=\"edge1\"><title>I-&gt;0</title>\n",
-        "<path d=\"M1.15491,-19C2.79388,-19 17.1543,-19 30.6317,-19\" fill=\"none\" stroke=\"black\"/>\n",
-        "<polygon fill=\"black\" points=\"37.9419,-19 30.9419,-22.1501 34.4419,-19 30.9419,-19.0001 30.9419,-19.0001 30.9419,-19.0001 34.4419,-19 30.9418,-15.8501 37.9419,-19 37.9419,-19\" stroke=\"black\"/>\n",
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-        "<!-- 1 -->\n",
-        "<g class=\"node\" id=\"node3\"><title>1</title>\n",
-        "<ellipse cx=\"187\" cy=\"-46\" fill=\"#ffffaa\" rx=\"18\" ry=\"18\" stroke=\"black\"/>\n",
-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"187\" y=\"-42.3\">1</text>\n",
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-        "<!-- 0&#45;&gt;1 -->\n",
-        "<g class=\"edge\" id=\"edge2\"><title>0-&gt;1</title>\n",
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-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"92\" y=\"-56.8\">!p0 &amp; !p1</text>\n",
-        "<text fill=\"#faa43a\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"113.5\" y=\"-41.8\">\u2777</text>\n",
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-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"604\" y=\"-42.3\">3</text>\n",
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-        "<g class=\"edge\" id=\"edge3\"><title>0-&gt;3</title>\n",
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-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"300\" y=\"-18.8\">p0 &amp; p1</text>\n",
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-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"326\" y=\"-75.3\">2</text>\n",
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-        "<!-- 1&#45;&gt;2 -->\n",
-        "<g class=\"edge\" id=\"edge4\"><title>1-&gt;2</title>\n",
-        "<path d=\"M201.062,-57.3423C207.289,-62.0935 215.094,-67.163 223,-70 248.445,-79.131 279.652,-80.5897 300.797,-80.2692\" fill=\"none\" stroke=\"black\"/>\n",
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-        "<g class=\"edge\" id=\"edge7\"><title>3-&gt;2</title>\n",
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-        "<g class=\"edge\" id=\"edge8\"><title>4-&gt;3</title>\n",
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-        "<polygon fill=\"black\" points=\"585.804,-46 578.804,-49.1501 582.304,-46 578.804,-46.0001 578.804,-46.0001 578.804,-46.0001 582.304,-46 578.804,-42.8501 585.804,-46 585.804,-46\" stroke=\"black\"/>\n",
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-        "<title>G</title>\n",
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-        "<text fill=\"#faa43a\" font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"364.25\" y=\"-202.8\">\u2777</text>\n",
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-        "<!-- I -->\n",
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-        "<g class=\"node\" id=\"node2\"><title>0</title>\n",
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-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"56\" y=\"-47.3\">0</text>\n",
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-        "<!-- I&#45;&gt;0 -->\n",
-        "<g class=\"edge\" id=\"edge1\"><title>I-&gt;0</title>\n",
-        "<path d=\"M1.15491,-51C2.79388,-51 17.1543,-51 30.6317,-51\" fill=\"none\" stroke=\"black\"/>\n",
-        "<polygon fill=\"black\" points=\"37.9419,-51 30.9419,-54.1501 34.4419,-51 30.9419,-51.0001 30.9419,-51.0001 30.9419,-51.0001 34.4419,-51 30.9418,-47.8501 37.9419,-51 37.9419,-51\" stroke=\"black\"/>\n",
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-        "<!-- 2 -->\n",
-        "<g class=\"node\" id=\"node3\"><title>2</title>\n",
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-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"183\" y=\"-85.3\">2</text>\n",
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-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"93.5\" y=\"-99.8\">p0 &amp; p1</text>\n",
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-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"92\" y=\"-51.8\">p0 &amp; !p1</text>\n",
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-        "<g class=\"node\" id=\"node5\"><title>4</title>\n",
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-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"595\" y=\"-59.3\">4</text>\n",
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-        "<g class=\"edge\" id=\"edge6\"><title>2-&gt;4</title>\n",
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-        "<g class=\"edge\" id=\"edge3\"><title>1-&gt;4</title>\n",
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-        "<g class=\"edge\" id=\"edge1\"><title>I-&gt;0</title>\n",
-        "<path d=\"M1.15491,-51C2.79388,-51 17.1543,-51 30.6317,-51\" fill=\"none\" stroke=\"black\"/>\n",
-        "<polygon fill=\"black\" points=\"37.9419,-51 30.9419,-54.1501 34.4419,-51 30.9419,-51.0001 30.9419,-51.0001 30.9419,-51.0001 34.4419,-51 30.9418,-47.8501 37.9419,-51 37.9419,-51\" stroke=\"black\"/>\n",
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-        "<g class=\"edge\" id=\"edge3\"><title>1-&gt;4</title>\n",
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-        "<g class=\"edge\" id=\"edge11\"><title>4-&gt;2</title>\n",
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-        "<g class=\"edge\" id=\"edge9\"><title>4-&gt;4</title>\n",
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-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"567.5\" y=\"-102.8\">!p0 &amp; p1</text>\n",
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-        "<g class=\"edge\" id=\"edge8\"><title>3-&gt;1</title>\n",
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-        "<g class=\"edge\" id=\"edge1\"><title>I-&gt;0</title>\n",
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-        "<!-- I&#45;&gt;0 -->\n",
-        "<g class=\"edge\" id=\"edge1\"><title>I-&gt;0</title>\n",
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-        "<!-- I&#45;&gt;0 -->\n",
-        "<g class=\"edge\" id=\"edge1\"><title>I-&gt;0</title>\n",
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-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"92\" y=\"-69.622\">!p0 &amp; p1</text>\n",
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-        "<!-- 1&#45;&gt;0 -->\n",
-        "<g class=\"edge\" id=\"edge3\"><title>1-&gt;0</title>\n",
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-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"92\" y=\"-39.622\">!p0 &amp; p1</text>\n",
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-        "<g class=\"node\" id=\"node4\"><title>3</title>\n",
-        "<ellipse cx=\"326\" cy=\"-29.822\" fill=\"#ffffaa\" rx=\"18\" ry=\"18\" stroke=\"black\"/>\n",
-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"middle\" x=\"326\" y=\"-26.122\">3</text>\n",
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-        "<!-- 1&#45;&gt;3 -->\n",
-        "<g class=\"edge\" id=\"edge4\"><title>1-&gt;3</title>\n",
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-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"238\" y=\"-75.622\">p0 &amp; p1</text>\n",
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-        "<g class=\"edge\" id=\"edge6\"><title>3-&gt;0</title>\n",
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-        "<g class=\"node\" id=\"node6\"><title>4</title>\n",
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-        "<text font-family=\"Lato\" font-size=\"14.00\" text-anchor=\"start\" x=\"362\" y=\"-48.622\">p0 &amp; p1</text>\n",
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-        "<g class=\"edge\" id=\"edge1\"><title>I-&gt;0</title>\n",
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@@ -1947,7 +2034,7 @@
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        "prompt_number": 2,
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@@ -1959,7 +2046,8 @@
      "input": [],
      "language": "python",
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+     "outputs": [],
+     "prompt_number": 3
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