diff --git a/docs/tutorials-notebook.rst b/docs/tutorials-notebook.rst
index ff276ed81..05b62c6e9 100644
--- a/docs/tutorials-notebook.rst
+++ b/docs/tutorials-notebook.rst
@@ -4,13 +4,20 @@
 Tutorials using Conjure notebook
 ================================
 
-
 We demonstrate the use of Conjure for some small problems.
 
-See `conjure-notebook repository <https://github.com/conjure-cp/conjure-notebook>`_ for details.
+Tutorials in this section are a copy of those in the tutorials section.
+They are adapted to use the notebook extension for better interactivity.
+We might add new tutorials using this style in the future.
 
+See `conjure-notebook repository <https://github.com/conjure-cp/conjure-notebook>`_ for details.
 
 .. toctree::
     :maxdepth: 1
 
     tutorials/notebooks/KnapsackProblem
+    tutorials/notebooks/NurseRostering
+    tutorials/notebooks/Futoshiki
+    tutorials/notebooks/Semigroups,_Monoids_and_Groups
+    tutorials/notebooks/Handcrafting_Instance_Generators_in_Essence
+    tutorials/notebooks/SimplePermutations
diff --git a/docs/tutorials/notebooks/Handcrafting_Instance_Generators_in_Essence.ipynb b/docs/tutorials/notebooks/Handcrafting_Instance_Generators_in_Essence.ipynb
index caec2a30f..327331ffa 100644
--- a/docs/tutorials/notebooks/Handcrafting_Instance_Generators_in_Essence.ipynb
+++ b/docs/tutorials/notebooks/Handcrafting_Instance_Generators_in_Essence.ipynb
@@ -1,64 +1,49 @@
 {
-  "nbformat": 4,
-  "nbformat_minor": 0,
-  "metadata": {
-    "colab": {
-      "provenance": [],
-      "authorship_tag": "ABX9TyOyOIxXu5LVVSWqJoksN5gj",
-      "include_colab_link": true
-    },
-    "kernelspec": {
-      "name": "python3",
-      "display_name": "Python 3"
-    },
-    "language_info": {
-      "name": "python"
-    }
-  },
   "cells": [
     {
+      "attachments": {},
       "cell_type": "markdown",
       "metadata": {
-        "id": "view-in-github",
-        "colab_type": "text"
+        "colab_type": "text",
+        "id": "view-in-github"
       },
       "source": [
         "<a href=\"https://colab.research.google.com/github/sasha704/conjure/blob/instances/docs/tutorials/notebooks/Handcrafting_Instance_Generators_in_Essence.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "# Handcrafting Instance Generators in Essence"
-      ],
       "metadata": {
         "id": "b_9MbyOpkR9A"
-      }
+      },
+      "source": [
+        "# Handcrafting Instance Generators in Essence"
+      ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "Original [Handcrafting Instance Generators in Essence](https://conjure.readthedocs.io/en/latest/tutorials.html#semigroups-monoids-and-groups) by Joan Espasa Arxer and Christopher Stone. Adapted by Alex Gallagher."
-      ],
       "metadata": {
         "id": "ws4OTYvkkU4Z"
-      }
+      },
+      "source": [
+        "Original [Handcrafting Instance Generators in Essence](https://conjure.readthedocs.io/en/latest/tutorials/knapsack_generator/KnapGen.html) by Joan Espasa Arxer and Christopher Stone. Adapted by Alex Gallagher."
+      ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "In modelling it is common to create an abstract model that expects some input parameters (Also known as “instances”) which are required to run and test the model. In this tutorial we demonstrate how to use ESSENCE to handcraft a generator of instances that can be used to produce input parameters for a specific model."
-      ],
       "metadata": {
         "id": "Hyk7zGoUkiV8"
-      }
+      },
+      "source": [
+        "In modelling it is common to create an abstract model that expects some input parameters (Also known as “instances”) which are required to run and test the model. In this tutorial we demonstrate how to use ESSENCE to handcraft a generator of instances that can be used to produce input parameters for a specific model."
+      ]
     },
     {
       "cell_type": "code",
-      "source": [
-        "!source <(curl -s https://raw.githubusercontent.com/conjure-cp/conjure-notebook/v0.0.2/scripts/install-colab.sh)\n",
-        "%load_ext conjure"
-      ],
+      "execution_count": null,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/",
@@ -67,11 +52,10 @@
         "id": "h8yaBmeymi1R",
         "outputId": "3da82d46-c6b8-4df8-b11a-e9faeba2b74a"
       },
-      "execution_count": null,
       "outputs": [
         {
-          "output_type": "stream",
           "name": "stdout",
+          "output_type": "stream",
           "text": [
             "  % Total    % Received % Xferd  Average Speed   Time    Time     Time  Current\n",
             "                                 Dload  Upload   Total   Spent    Left  Speed\n",
@@ -83,249 +67,45 @@
           ]
         },
         {
-          "output_type": "display_data",
           "data": {
+            "application/javascript": "\"use strict\";\n\nCodeMirror.defineMode(\"text/conjure\", function (config) {\n\n    var isOperatorChar = /[+\\-*=<>%^\\/]/;\n\n    var keywords = {\n        \"forall\": true,\n        \"allDifferent\": true,\n        \"allDiff\": true,\n        \"alldifferent_except\": true,\n        \"dim\": true,\n        \"toSet\": true,\n        \"toMSet\": true,\n        \"toRelation\": true,\n        \"maximising\": true,\n        \"minimising\": true,\n        \"forAll\": true,\n        \"exists\": true,\n        \"toInt\": true,\n        \"sum\": true,\n        \"be\": true,\n        \"bijective\": true,\n        \"bool\": true,\n        \"by\": true,\n        \"complete\": true,\n        \"defined\": true,\n        \"domain\": true,\n        \"in\": true,\n        \"or\": true,\n        \"and\": true,\n        \"false\": true,\n        \"find\": true,\n        \"from\": true,\n        \"function\": true,\n        \"given\": true,\n        \"image\": true,\n        \"indexed\": true,\n        \"injective\": true,\n        \"int\": true,\n        \"intersect\": true,\n        \"freq\": true,\n        \"lambda\": true,\n        \"language\": true,\n        \"letting\": true,\n        \"matrix\": true,\n        \"maxNumParts\": true,\n        \"maxOccur\": true,\n        \"maxPartSize\": true,\n        \"maxSize\": true,\n        \"minNumParts\": true,\n        \"minOccur\": true,\n        \"minPartSize\": true,\n        \"minSize\": true,\n        \"mset\": true,\n        \"numParts\": true,\n        \"of\": true,\n        \"partial\": true,\n        \"partition\": true,\n        \"partSize\": true,\n        \"preImage\": true,\n        \"quantifier\": true,\n        \"range\": true,\n        \"regular\": true,\n        \"relation\": true,\n        \"representation\": true,\n        \"set\": true,\n        \"size\": true,\n        \"subset\": true,\n        \"subsetEq\": true,\n        \"such\": true,\n        \"supset\": true,\n        \"supsetEq\": true,\n        \"surjective\": true,\n        \"that\": true,\n        \"together\": true,\n        \"enum\": true,\n        \"total\": true,\n        \"true\": true,\n        \"new\": true,\n        \"type\": true,\n        \"tuple\": true,\n        \"union\": true,\n        \"where\": true,\n        \"branching\": true,\n        \"on\": true\n    };  \n    var punc = \":;,.(){}[]\";\n\n    function tokenBase(stream, state) {\n        var ch = stream.next();\n        if (ch == '\"') {\n            state.tokenize.push(tokenString);\n            return tokenString(stream, state);\n        }\n        if (/[\\d\\.]/.test(ch)) {\n            if (ch == \".\") {\n                stream.match(/^[0-9]+([eE][\\-+]?[0-9]+)?/);\n            } else if (ch == \"0\") {\n                stream.match(/^[xX][0-9a-fA-F]+/) || stream.match(/^0[0-7]+/);\n            } else {\n                stream.match(/^[0-9]*\\.?[0-9]*([eE][\\-+]?[0-9]+)?/);\n            }\n            return \"number\";\n        }\n        if (ch == \"/\") {\n            if (stream.eat(\"*\")) {\n                state.tokenize.push(tokenComment);\n                return tokenComment(stream, state);\n            }\n        }\n        if (ch == \"$\") {\n            stream.skipToEnd();\n            return \"comment\";\n        }\n        if (isOperatorChar.test(ch)) {\n            stream.eatWhile(isOperatorChar);\n            return \"operator\";\n        }\n        if (punc.indexOf(ch) > -1) {\n            return \"punctuation\";\n        }\n        stream.eatWhile(/[\\w\\$_\\xa1-\\uffff]/);\n        var cur = stream.current();\n        \n        if (keywords.propertyIsEnumerable(cur)) {\n            return \"keyword\";\n        }\n        return \"variable\";\n    }\n\n    function tokenComment(stream, state) {\n        var maybeEnd = false, ch;\n        while (ch = stream.next()) {\n            if (ch == \"/\" && maybeEnd) {\n                state.tokenize.pop();\n                break;\n            }\n            maybeEnd = (ch == \"*\");\n        }\n        return \"comment\";\n    }\n\n    function tokenUntilClosingParen() {\n        var depth = 0;\n        return function (stream, state, prev) {\n            var inner = tokenBase(stream, state, prev);\n            console.log(\"untilClosing\", inner, stream.current());\n            if (inner == \"punctuation\") {\n                if (stream.current() == \"(\") {\n                    ++depth;\n                } else if (stream.current() == \")\") {\n                    if (depth == 0) {\n                        stream.backUp(1)\n                        state.tokenize.pop()\n                        return state.tokenize[state.tokenize.length - 1](stream, state)\n                    } else {\n                        --depth;\n                    }\n                }\n            }\n            return inner;\n        }\n    }\n\n    function tokenString(stream, state) {\n        var escaped = false, next, end = false;\n        while ((next = stream.next()) != null) {\n            if (next == '(' && escaped) {\n                state.tokenize.push(tokenUntilClosingParen());\n                return \"string\";\n            }\n            if (next == '\"' && !escaped) { end = true; break; }\n            escaped = !escaped && next == \"\\\\\";\n        }\n        if (end || !escaped)\n            state.tokenize.pop();\n        return \"string\";\n    }\n\n    return {\n        startState: function (basecolumn) {\n            return {\n                tokenize: []\n            };\n        },\n\n        token: function (stream, state) {\n            if (stream.eatSpace()) return null;\n            var style = (state.tokenize[state.tokenize.length - 1] || tokenBase)(stream, state);\n            console.log(\"token\", style);\n            return style;\n        },\n\n        blockCommentStart: \"/*\",\n        blockCommentEnd: \"*/\",\n        lineComment: \"$\"\n    };\n});\n\n\nCodeMirror.defineMIME(\"text/conjure\", \"text/conjure\");\n\nrequire(['notebook/js/codecell'], function (codecell) {\n    codecell.CodeCell.options_default.highlight_modes['magic_text/conjure'] = { 'reg': [/%?%conjure/] };\n    Jupyter.notebook.events.one('kernel_ready.Kernel', function () {\n        Jupyter.notebook.get_cells().map(function (cell) {\n            if (cell.cell_type == 'code') { cell.auto_highlight(); }\n        });\n    });\n});\n\n",
             "text/plain": [
               "<IPython.core.display.Javascript object>"
-            ],
-            "application/javascript": [
-              "\"use strict\";\n",
-              "\n",
-              "CodeMirror.defineMode(\"text/conjure\", function (config) {\n",
-              "\n",
-              "    var isOperatorChar = /[+\\-*=<>%^\\/]/;\n",
-              "\n",
-              "    var keywords = {\n",
-              "        \"forall\": true,\n",
-              "        \"allDifferent\": true,\n",
-              "        \"allDiff\": true,\n",
-              "        \"alldifferent_except\": true,\n",
-              "        \"dim\": true,\n",
-              "        \"toSet\": true,\n",
-              "        \"toMSet\": true,\n",
-              "        \"toRelation\": true,\n",
-              "        \"maximising\": true,\n",
-              "        \"minimising\": true,\n",
-              "        \"forAll\": true,\n",
-              "        \"exists\": true,\n",
-              "        \"toInt\": true,\n",
-              "        \"sum\": true,\n",
-              "        \"be\": true,\n",
-              "        \"bijective\": true,\n",
-              "        \"bool\": true,\n",
-              "        \"by\": true,\n",
-              "        \"complete\": true,\n",
-              "        \"defined\": true,\n",
-              "        \"domain\": true,\n",
-              "        \"in\": true,\n",
-              "        \"or\": true,\n",
-              "        \"and\": true,\n",
-              "        \"false\": true,\n",
-              "        \"find\": true,\n",
-              "        \"from\": true,\n",
-              "        \"function\": true,\n",
-              "        \"given\": true,\n",
-              "        \"image\": true,\n",
-              "        \"indexed\": true,\n",
-              "        \"injective\": true,\n",
-              "        \"int\": true,\n",
-              "        \"intersect\": true,\n",
-              "        \"freq\": true,\n",
-              "        \"lambda\": true,\n",
-              "        \"language\": true,\n",
-              "        \"letting\": true,\n",
-              "        \"matrix\": true,\n",
-              "        \"maxNumParts\": true,\n",
-              "        \"maxOccur\": true,\n",
-              "        \"maxPartSize\": true,\n",
-              "        \"maxSize\": true,\n",
-              "        \"minNumParts\": true,\n",
-              "        \"minOccur\": true,\n",
-              "        \"minPartSize\": true,\n",
-              "        \"minSize\": true,\n",
-              "        \"mset\": true,\n",
-              "        \"numParts\": true,\n",
-              "        \"of\": true,\n",
-              "        \"partial\": true,\n",
-              "        \"partition\": true,\n",
-              "        \"partSize\": true,\n",
-              "        \"preImage\": true,\n",
-              "        \"quantifier\": true,\n",
-              "        \"range\": true,\n",
-              "        \"regular\": true,\n",
-              "        \"relation\": true,\n",
-              "        \"representation\": true,\n",
-              "        \"set\": true,\n",
-              "        \"size\": true,\n",
-              "        \"subset\": true,\n",
-              "        \"subsetEq\": true,\n",
-              "        \"such\": true,\n",
-              "        \"supset\": true,\n",
-              "        \"supsetEq\": true,\n",
-              "        \"surjective\": true,\n",
-              "        \"that\": true,\n",
-              "        \"together\": true,\n",
-              "        \"enum\": true,\n",
-              "        \"total\": true,\n",
-              "        \"true\": true,\n",
-              "        \"new\": true,\n",
-              "        \"type\": true,\n",
-              "        \"tuple\": true,\n",
-              "        \"union\": true,\n",
-              "        \"where\": true,\n",
-              "        \"branching\": true,\n",
-              "        \"on\": true\n",
-              "    };  \n",
-              "    var punc = \":;,.(){}[]\";\n",
-              "\n",
-              "    function tokenBase(stream, state) {\n",
-              "        var ch = stream.next();\n",
-              "        if (ch == '\"') {\n",
-              "            state.tokenize.push(tokenString);\n",
-              "            return tokenString(stream, state);\n",
-              "        }\n",
-              "        if (/[\\d\\.]/.test(ch)) {\n",
-              "            if (ch == \".\") {\n",
-              "                stream.match(/^[0-9]+([eE][\\-+]?[0-9]+)?/);\n",
-              "            } else if (ch == \"0\") {\n",
-              "                stream.match(/^[xX][0-9a-fA-F]+/) || stream.match(/^0[0-7]+/);\n",
-              "            } else {\n",
-              "                stream.match(/^[0-9]*\\.?[0-9]*([eE][\\-+]?[0-9]+)?/);\n",
-              "            }\n",
-              "            return \"number\";\n",
-              "        }\n",
-              "        if (ch == \"/\") {\n",
-              "            if (stream.eat(\"*\")) {\n",
-              "                state.tokenize.push(tokenComment);\n",
-              "                return tokenComment(stream, state);\n",
-              "            }\n",
-              "        }\n",
-              "        if (ch == \"$\") {\n",
-              "            stream.skipToEnd();\n",
-              "            return \"comment\";\n",
-              "        }\n",
-              "        if (isOperatorChar.test(ch)) {\n",
-              "            stream.eatWhile(isOperatorChar);\n",
-              "            return \"operator\";\n",
-              "        }\n",
-              "        if (punc.indexOf(ch) > -1) {\n",
-              "            return \"punctuation\";\n",
-              "        }\n",
-              "        stream.eatWhile(/[\\w\\$_\\xa1-\\uffff]/);\n",
-              "        var cur = stream.current();\n",
-              "        \n",
-              "        if (keywords.propertyIsEnumerable(cur)) {\n",
-              "            return \"keyword\";\n",
-              "        }\n",
-              "        return \"variable\";\n",
-              "    }\n",
-              "\n",
-              "    function tokenComment(stream, state) {\n",
-              "        var maybeEnd = false, ch;\n",
-              "        while (ch = stream.next()) {\n",
-              "            if (ch == \"/\" && maybeEnd) {\n",
-              "                state.tokenize.pop();\n",
-              "                break;\n",
-              "            }\n",
-              "            maybeEnd = (ch == \"*\");\n",
-              "        }\n",
-              "        return \"comment\";\n",
-              "    }\n",
-              "\n",
-              "    function tokenUntilClosingParen() {\n",
-              "        var depth = 0;\n",
-              "        return function (stream, state, prev) {\n",
-              "            var inner = tokenBase(stream, state, prev);\n",
-              "            console.log(\"untilClosing\", inner, stream.current());\n",
-              "            if (inner == \"punctuation\") {\n",
-              "                if (stream.current() == \"(\") {\n",
-              "                    ++depth;\n",
-              "                } else if (stream.current() == \")\") {\n",
-              "                    if (depth == 0) {\n",
-              "                        stream.backUp(1)\n",
-              "                        state.tokenize.pop()\n",
-              "                        return state.tokenize[state.tokenize.length - 1](stream, state)\n",
-              "                    } else {\n",
-              "                        --depth;\n",
-              "                    }\n",
-              "                }\n",
-              "            }\n",
-              "            return inner;\n",
-              "        }\n",
-              "    }\n",
-              "\n",
-              "    function tokenString(stream, state) {\n",
-              "        var escaped = false, next, end = false;\n",
-              "        while ((next = stream.next()) != null) {\n",
-              "            if (next == '(' && escaped) {\n",
-              "                state.tokenize.push(tokenUntilClosingParen());\n",
-              "                return \"string\";\n",
-              "            }\n",
-              "            if (next == '\"' && !escaped) { end = true; break; }\n",
-              "            escaped = !escaped && next == \"\\\\\";\n",
-              "        }\n",
-              "        if (end || !escaped)\n",
-              "            state.tokenize.pop();\n",
-              "        return \"string\";\n",
-              "    }\n",
-              "\n",
-              "    return {\n",
-              "        startState: function (basecolumn) {\n",
-              "            return {\n",
-              "                tokenize: []\n",
-              "            };\n",
-              "        },\n",
-              "\n",
-              "        token: function (stream, state) {\n",
-              "            if (stream.eatSpace()) return null;\n",
-              "            var style = (state.tokenize[state.tokenize.length - 1] || tokenBase)(stream, state);\n",
-              "            console.log(\"token\", style);\n",
-              "            return style;\n",
-              "        },\n",
-              "\n",
-              "        blockCommentStart: \"/*\",\n",
-              "        blockCommentEnd: \"*/\",\n",
-              "        lineComment: \"$\"\n",
-              "    };\n",
-              "});\n",
-              "\n",
-              "\n",
-              "CodeMirror.defineMIME(\"text/conjure\", \"text/conjure\");\n",
-              "\n",
-              "require(['notebook/js/codecell'], function (codecell) {\n",
-              "    codecell.CodeCell.options_default.highlight_modes['magic_text/conjure'] = { 'reg': [/%?%conjure/] };\n",
-              "    Jupyter.notebook.events.one('kernel_ready.Kernel', function () {\n",
-              "        Jupyter.notebook.get_cells().map(function (cell) {\n",
-              "            if (cell.cell_type == 'code') { cell.auto_highlight(); }\n",
-              "        });\n",
-              "    });\n",
-              "});\n",
-              "\n"
             ]
           },
-          "metadata": {}
+          "metadata": {},
+          "output_type": "display_data"
         },
         {
-          "output_type": "stream",
           "name": "stdout",
+          "output_type": "stream",
           "text": [
             "Conjure extension is loaded.\n",
             "For usage help run: %conjure_help\n"
           ]
         }
+      ],
+      "source": [
+        "!source <(curl -s https://raw.githubusercontent.com/conjure-cp/conjure-notebook/v0.0.2/scripts/install-colab.sh)\n",
+        "%load_ext conjure"
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "## Instances for the Knapsack problem"
-      ],
       "metadata": {
         "id": "7DlRahOslGIO"
-      }
+      },
+      "source": [
+        "## Instances for the Knapsack problem"
+      ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
+      "metadata": {
+        "id": "yByksQbYmFwO"
+      },
       "source": [
         "This model from the [Knapsack Problem](https://conjure.readthedocs.io/en/latest/tutorials.html#the-knapsack-problem) has 4 different “given” statements :\n",
         "\n",
@@ -339,19 +119,17 @@
         "\n",
         "\n",
         "\n"
-      ],
-      "metadata": {
-        "id": "yByksQbYmFwO"
-      }
+      ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "The first parameter is fairly simple and we can even write this parameter with some value by hand as seen below."
-      ],
       "metadata": {
         "id": "xXdYIQKvmXOv"
-      }
+      },
+      "source": [
+        "The first parameter is fairly simple and we can even write this parameter with some value by hand as seen below."
+      ]
     },
     {
       "cell_type": "code",
@@ -365,14 +143,14 @@
       },
       "outputs": [
         {
-          "output_type": "execute_result",
           "data": {
             "text/plain": [
               "{}"
             ]
           },
+          "execution_count": 2,
           "metadata": {},
-          "execution_count": 2
+          "output_type": "execute_result"
         }
       ],
       "source": [
@@ -381,23 +159,18 @@
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "The remaining 3 parameters are more complex and labourious to be defined (too much work to be done by hand!) so we are going to write an ESSENCE specification that will create them for us. The fundamental starting step is writing find statements for each variable we wish to generate and ensure that the names of the variable (identifiers) are left unchanged. We can do so by writing:"
-      ],
       "metadata": {
         "id": "_EiqQ1uAnht9"
-      }
+      },
+      "source": [
+        "The remaining 3 parameters are more complex and labourious to be defined (too much work to be done by hand!) so we are going to write an ESSENCE specification that will create them for us. The fundamental starting step is writing find statements for each variable we wish to generate and ensure that the names of the variable (identifiers) are left unchanged. We can do so by writing:"
+      ]
     },
     {
       "cell_type": "code",
-      "source": [
-        "%%conjure\n",
-        "letting items be domain int(1..number_items)\n",
-        "find weight: function (total) items --> int(1..1000)\n",
-        "find gain: function (total) items --> int(1..1000)\n",
-        "find capacity: int(1..5000)"
-      ],
+      "execution_count": null,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/"
@@ -405,10 +178,8 @@
         "id": "cDYM3WlAn0Lb",
         "outputId": "15308a29-c827-4f47-d71a-02bf82d93c64"
       },
-      "execution_count": null,
       "outputs": [
         {
-          "output_type": "execute_result",
           "data": {
             "text/plain": [
               "{'capacity': 1,\n",
@@ -454,37 +225,42 @@
               "  '9': 1}}"
             ]
           },
+          "execution_count": 3,
           "metadata": {},
-          "execution_count": 3
+          "output_type": "execute_result"
         }
+      ],
+      "source": [
+        "%%conjure\n",
+        "letting items be domain int(1..number_items)\n",
+        "find weight: function (total) items --> int(1..1000)\n",
+        "find gain: function (total) items --> int(1..1000)\n",
+        "find capacity: int(1..5000)"
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "Solving the above model (by running the cell above) will create a set of parameters for our knapsack model. However, these instances are not interesting enough yet."
-      ],
       "metadata": {
         "id": "L3_5bdbxn-_6"
-      }
+      },
+      "source": [
+        "Solving the above model (by running the cell above) will create a set of parameters for our knapsack model. However, these instances are not interesting enough yet."
+      ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "We can make our instances more interesting by adding constraints into our generator’s model. The first thing we notice is that all values assigned are identical, a bit TOO symmetrical for our taste. One simple solution to this issue is ensuring that all weights and gains assignments are associated with distinct values. This can be done by imposing [injectivity](https://en.wikipedia.org/wiki/Injective_function) as a property of the function."
-      ],
       "metadata": {
         "id": "WqMwmD0OoGs4"
-      }
+      },
+      "source": [
+        "We can make our instances more interesting by adding constraints into our generator’s model. The first thing we notice is that all values assigned are identical, a bit TOO symmetrical for our taste. One simple solution to this issue is ensuring that all weights and gains assignments are associated with distinct values. This can be done by imposing [injectivity](https://en.wikipedia.org/wiki/Injective_function) as a property of the function."
+      ]
     },
     {
       "cell_type": "code",
-      "source": [
-        "%%conjure\n",
-        "find weight: function (total, injective) items --> int(1..1000)\n",
-        "find gain: function (total, injective) items --> int(1..1000)\n",
-        "find capacity: int(1..5000)"
-      ],
+      "execution_count": null,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/"
@@ -492,10 +268,8 @@
         "id": "LGHHUkfXoZOg",
         "outputId": "bb95af51-7709-42f9-b4f8-82a0e0c0ca93"
       },
-      "execution_count": null,
       "outputs": [
         {
-          "output_type": "execute_result",
           "data": {
             "text/plain": [
               "{'capacity': 1,\n",
@@ -541,47 +315,51 @@
               "  '9': 1}}"
             ]
           },
+          "execution_count": 12,
           "metadata": {},
-          "execution_count": 12
+          "output_type": "execute_result"
         }
+      ],
+      "source": [
+        "%%conjure\n",
+        "find weight: function (total, injective) items --> int(1..1000)\n",
+        "find gain: function (total, injective) items --> int(1..1000)\n",
+        "find capacity: int(1..5000)"
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "Running this gives us a slighly more interesting parameters set but it is not there yet The specific order that appears in the results is solver dependent. The default solver used by conjure is Minion and we can use an optional flag to have the variables assigned in a random order. This can be done with this command:"
-      ],
       "metadata": {
         "id": "RqTcTMtuoitZ"
-      }
+      },
+      "source": [
+        "Running this gives us a slighly more interesting parameters set but it is not there yet The specific order that appears in the results is solver dependent. The default solver used by conjure is Minion and we can use an optional flag to have the variables assigned in a random order. This can be done with this command:"
+      ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "`--solver-options=-randomiseorder`"
-      ],
       "metadata": {
         "id": "Zzg57cEHonBQ"
-      }
+      },
+      "source": [
+        "`--solver-options=-randomiseorder`"
+      ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "Alternatively one can use another solver that uses randomness by default"
-      ],
       "metadata": {
         "id": "qTeTX8s-oqjp"
-      }
+      },
+      "source": [
+        "Alternatively one can use another solver that uses randomness by default"
+      ]
     },
     {
       "cell_type": "code",
-      "source": [
-        "%%conjure --solver=minion --solver-options='-randomiseorder'\n",
-        "\n",
-        "find weight: function (total, injective) items --> int(1..1000)\n",
-        "find gain: function (total, injective) items --> int(1..1000)\n",
-        "find capacity: int(1..5000)"
-      ],
+      "execution_count": null,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/"
@@ -589,10 +367,8 @@
         "id": "v1vnAK0kouNI",
         "outputId": "c81ad75f-51f0-4bb8-877c-75bd50d690a5"
       },
-      "execution_count": null,
       "outputs": [
         {
-          "output_type": "execute_result",
           "data": {
             "text/plain": [
               "{'capacity': 4354,\n",
@@ -638,25 +414,32 @@
               "  '9': 194}}"
             ]
           },
+          "execution_count": 4,
           "metadata": {},
-          "execution_count": 4
+          "output_type": "execute_result"
         }
+      ],
+      "source": [
+        "%%conjure --solver=minion --solver-options='-randomiseorder'\n",
+        "\n",
+        "find weight: function (total, injective) items --> int(1..1000)\n",
+        "find gain: function (total, injective) items --> int(1..1000)\n",
+        "find capacity: int(1..5000)"
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "Now it is starting to look more like a proper instance. At this point we can add some knowledge about the problem to formulate some constraints that will ensure that the instances are not trivial. ie when the sum of all the weights is smaller than the capacity so we can’t put all the objects in the knapsack or when all the objects are heavier than the capacity so that no object can be picked. Thefore we add constraints such as:"
-      ],
       "metadata": {
         "id": "Y3zFC4dTtn-s"
-      }
+      },
+      "source": [
+        "Now it is starting to look more like a proper instance. At this point we can add some knowledge about the problem to formulate some constraints that will ensure that the instances are not trivial. ie when the sum of all the weights is smaller than the capacity so we can’t put all the objects in the knapsack or when all the objects are heavier than the capacity so that no object can be picked. Thefore we add constraints such as:"
+      ]
     },
     {
       "cell_type": "code",
-      "source": [
-        "%conjure_clear"
-      ],
+      "execution_count": null,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/"
@@ -664,29 +447,22 @@
         "id": "xtRJ0LK5ueb3",
         "outputId": "d277f389-ce6f-4070-e556-42d64da10989"
       },
-      "execution_count": null,
       "outputs": [
         {
-          "output_type": "stream",
           "name": "stdout",
+          "output_type": "stream",
           "text": [
             "Conjure model cleared\n"
           ]
         }
+      ],
+      "source": [
+        "%conjure_clear"
       ]
     },
     {
       "cell_type": "code",
-      "source": [
-        "%%conjure\n",
-        "letting number_items be 20\n",
-        "letting items be domain int(1..number_items)\n",
-        "find weight: function (total, injective) items --> int(1..1000)\n",
-        "find gain: function (total, injective) items --> int(1..1000)\n",
-        "find capacity: int(1..5000)\n",
-        "\n",
-        "such that (sum ([w | (_,w) <- weight]) > capacity*2),"
-      ],
+      "execution_count": null,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/"
@@ -694,10 +470,8 @@
         "id": "st_At4HvuFtD",
         "outputId": "b809637a-5f87-4848-df0f-29c41cf34227"
       },
-      "execution_count": null,
       "outputs": [
         {
-          "output_type": "execute_result",
           "data": {
             "text/plain": [
               "{'capacity': 43,\n",
@@ -743,27 +517,35 @@
               "  '9': 9}}"
             ]
           },
+          "execution_count": 26,
           "metadata": {},
-          "execution_count": 26
+          "output_type": "execute_result"
         }
+      ],
+      "source": [
+        "%%conjure\n",
+        "letting number_items be 20\n",
+        "letting items be domain int(1..number_items)\n",
+        "find weight: function (total, injective) items --> int(1..1000)\n",
+        "find gain: function (total, injective) items --> int(1..1000)\n",
+        "find capacity: int(1..5000)\n",
+        "\n",
+        "such that (sum ([w | (_,w) <- weight]) > capacity*2),"
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "This means that the sum of all the weights should be greater than twice the capacity of the knapsack. From this we can expect that on average no more than half of the objects will fit in the knapsack. The expression `[w | (_,w) <- weight]` is a list [comprehension](https://en.wikipedia.org/wiki/List_comprehension) that extracts all right hand values of the `weight` function. The underscore character means we do not care about the left hand side values. To ensure that the solver does not take it too far we impose an upper bound using a similar constraint. We impose that the sum of the objects weights 5 times the capacity of the knapsack, so we can expect that only between 20% and 50% of the items will fit in the knapsack in each instance."
-      ],
       "metadata": {
         "id": "XH7Q2h2Qux0G"
-      }
+      },
+      "source": [
+        "This means that the sum of all the weights should be greater than twice the capacity of the knapsack. From this we can expect that on average no more than half of the objects will fit in the knapsack. The expression `[w | (_,w) <- weight]` is a list [comprehension](https://en.wikipedia.org/wiki/List_comprehension) that extracts all right hand values of the `weight` function. The underscore character means we do not care about the left hand side values. To ensure that the solver does not take it too far we impose an upper bound using a similar constraint. We impose that the sum of the objects weights 5 times the capacity of the knapsack, so we can expect that only between 20% and 50% of the items will fit in the knapsack in each instance."
+      ]
     },
     {
       "cell_type": "code",
-      "source": [
-        "%%conjure\n",
-        "\n",
-        "such that (sum ([w | (_,w) <- weight]) < capacity*5),"
-      ],
+      "execution_count": null,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/"
@@ -771,10 +553,8 @@
         "id": "RGBsge0yu-LK",
         "outputId": "c7baf91c-74b5-4701-89a7-17a123492b5b"
       },
-      "execution_count": null,
       "outputs": [
         {
-          "output_type": "execute_result",
           "data": {
             "text/plain": [
               "{'capacity': 43,\n",
@@ -820,27 +600,30 @@
               "  '9': 9}}"
             ]
           },
+          "execution_count": 27,
           "metadata": {},
-          "execution_count": 27
+          "output_type": "execute_result"
         }
+      ],
+      "source": [
+        "%%conjure\n",
+        "\n",
+        "such that (sum ([w | (_,w) <- weight]) < capacity*5),"
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "At this point it will be harder to see specific properties of the instances just by eyeballing the parameters but we can be confident that the properties we have imposed are there. We can add some more constraints to refine the values of the instances for practice/exercise by enforcing that no object is heavier than a third of the knapsack capacity"
-      ],
       "metadata": {
         "id": "UAohhHG1vXFZ"
-      }
+      },
+      "source": [
+        "At this point it will be harder to see specific properties of the instances just by eyeballing the parameters but we can be confident that the properties we have imposed are there. We can add some more constraints to refine the values of the instances for practice/exercise by enforcing that no object is heavier than a third of the knapsack capacity"
+      ]
     },
     {
       "cell_type": "code",
-      "source": [
-        "%%conjure\n",
-        "\n",
-        "such that forAll (_,w) in weight .  w < capacity / 3,"
-      ],
+      "execution_count": null,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/"
@@ -848,11 +631,10 @@
         "id": "UPeiW9bOvZcJ",
         "outputId": "70de71bf-c701-4222-9547-fea521c33e47"
       },
-      "execution_count": null,
       "outputs": [
         {
-          "output_type": "stream",
           "name": "stderr",
+          "output_type": "stream",
           "text": [
             "Exception: Error:\n",
             "    Savile Row stdout: Created output file for domain filtering conjure-output/model000001.eprime-minion\n",
@@ -868,24 +650,26 @@
             "\n"
           ]
         }
+      ],
+      "source": [
+        "%%conjure\n",
+        "\n",
+        "such that forAll (_,w) in weight .  w < capacity / 3,"
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "On top of that we can enfore a constraint on the density of the values in each object by limiting the ratio between the weight and gain of each specific object with:"
-      ],
       "metadata": {
         "id": "cEy6PLNavc_T"
-      }
+      },
+      "source": [
+        "On top of that we can enfore a constraint on the density of the values in each object by limiting the ratio between the weight and gain of each specific object with:"
+      ]
     },
     {
       "cell_type": "code",
-      "source": [
-        "%%conjure\n",
-        "such that forAll element : items .\n",
-        "        gain(element) <= 3*weight(element)"
-      ],
+      "execution_count": null,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/"
@@ -893,10 +677,8 @@
         "id": "46OeSVrBvhOX",
         "outputId": "7ef012a2-d030-4dec-e3a8-2d5055042351"
       },
-      "execution_count": null,
       "outputs": [
         {
-          "output_type": "execute_result",
           "data": {
             "text/plain": [
               "{'capacity': 16,\n",
@@ -942,13 +724,23 @@
               "  '9': 3}}"
             ]
           },
+          "execution_count": 29,
           "metadata": {},
-          "execution_count": 29
+          "output_type": "execute_result"
         }
+      ],
+      "source": [
+        "%%conjure\n",
+        "such that forAll element : items .\n",
+        "        gain(element) <= 3*weight(element)"
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
+      "metadata": {
+        "id": "kr7LfH5Svrxx"
+      },
       "source": [
         "After running all cells, we can take the output solution and run the Knapsack Problem solution on it.\n",
         "\n",
@@ -957,10 +749,23 @@
         "If your computer is powerful enough you can try larger values in “letting number_items be 20” (40-50 items will already produce substantially harder instances) Like for other forms of modelling writing instance generators is in large part an art. If this is not your kind of thing and you would like a fully automated system that can produce instances you may check out this [method](https://link.springer.com/chapter/10.1007/978-3-030-30048-7_1)\n",
         "\n",
         "(code available [here](https://github.com/stacs-cp/CP2019-InstanceGen))"
-      ],
-      "metadata": {
-        "id": "kr7LfH5Svrxx"
-      }
+      ]
+    }
+  ],
+  "metadata": {
+    "colab": {
+      "authorship_tag": "ABX9TyOyOIxXu5LVVSWqJoksN5gj",
+      "include_colab_link": true,
+      "provenance": []
+    },
+    "kernelspec": {
+      "display_name": "Python 3",
+      "name": "python3"
+    },
+    "language_info": {
+      "name": "python"
     }
-  ]
-}
\ No newline at end of file
+  },
+  "nbformat": 4,
+  "nbformat_minor": 0
+}
diff --git a/docs/tutorials/notebooks/KnapsackProblem.ipynb b/docs/tutorials/notebooks/KnapsackProblem.ipynb
index 7ea425b39..3a9ba8042 100644
--- a/docs/tutorials/notebooks/KnapsackProblem.ipynb
+++ b/docs/tutorials/notebooks/KnapsackProblem.ipynb
@@ -28,7 +28,7 @@
         "id": "5I6cwwqhH19R"
       },
       "source": [
-        "Original [The Knapsack Problem](https://conjure.readthedocs.io/en/latest/tutorials.html#the-knapsack-problem) by Saad Attieh and Christopher Stone. Adapted by Alex Gallagher."
+        "Original [The Knapsack Problem](https://conjure.readthedocs.io/en/latest/tutorials/knapsack.html) by Saad Attieh and Christopher Stone. Adapted by Alex Gallagher."
       ]
     },
     {
@@ -90,7 +90,7 @@
         "id": "fU4y3zCXMNgX"
       },
       "source": [
-        "##Model Explained"
+        "## Model Explained"
       ]
     },
     {
diff --git a/docs/tutorials/notebooks/NurseRostering.ipynb b/docs/tutorials/notebooks/NurseRostering.ipynb
index 248e51e0f..230366d1d 100644
--- a/docs/tutorials/notebooks/NurseRostering.ipynb
+++ b/docs/tutorials/notebooks/NurseRostering.ipynb
@@ -1,34 +1,38 @@
 {
   "cells": [
     {
+      "attachments": {},
       "cell_type": "markdown",
       "metadata": {
-        "id": "view-in-github",
-        "colab_type": "text"
+        "colab_type": "text",
+        "id": "view-in-github"
       },
       "source": [
         "<a href=\"https://colab.research.google.com/github/sasha704/conjure/blob/nurseRostering/NurseRostering.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
       "metadata": {
         "id": "G0mPqC-63XVl"
       },
       "source": [
-        "#Nurse Rostering"
+        "# Nurse Rostering"
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
       "metadata": {
         "id": "sT5HA7OR3a_f"
       },
       "source": [
-        "Original [Nurse Rostering](https://conjure.readthedocs.io/en/latest/tutorials.html#nurse-rostering) by András Salamon, Nguyen Dang and Saad Attieh. Adapted by Alex Gallagher."
+        "Original [Nurse Rostering](https://conjure.readthedocs.io/en/latest/tutorials/NurseRostering.html) by András Salamon, Nguyen Dang and Saad Attieh. Adapted by Alex Gallagher."
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
       "metadata": {
         "id": "eyp734R43ttT"
@@ -52,8 +56,8 @@
       },
       "outputs": [
         {
-          "output_type": "stream",
           "name": "stdout",
+          "output_type": "stream",
           "text": [
             "Installing Conjure...\n",
             "Conjure: The Automated Constraint Modelling Tool\n",
@@ -62,231 +66,18 @@
           ]
         },
         {
-          "output_type": "display_data",
           "data": {
+            "application/javascript": "\"use strict\";\n\nCodeMirror.defineMode(\"text/conjure\", function (config) {\n\n    var isOperatorChar = /[+\\-*=<>%^\\/]/;\n\n    var keywords = {\n        \"forall\": true,\n        \"allDifferent\": true,\n        \"allDiff\": true,\n        \"alldifferent_except\": true,\n        \"dim\": true,\n        \"toSet\": true,\n        \"toMSet\": true,\n        \"toRelation\": true,\n        \"maximising\": true,\n        \"minimising\": true,\n        \"forAll\": true,\n        \"exists\": true,\n        \"toInt\": true,\n        \"sum\": true,\n        \"be\": true,\n        \"bijective\": true,\n        \"bool\": true,\n        \"by\": true,\n        \"complete\": true,\n        \"defined\": true,\n        \"domain\": true,\n        \"in\": true,\n        \"or\": true,\n        \"and\": true,\n        \"false\": true,\n        \"find\": true,\n        \"from\": true,\n        \"function\": true,\n        \"given\": true,\n        \"image\": true,\n        \"indexed\": true,\n        \"injective\": true,\n        \"int\": true,\n        \"intersect\": true,\n        \"freq\": true,\n        \"lambda\": true,\n        \"language\": true,\n        \"letting\": true,\n        \"matrix\": true,\n        \"maxNumParts\": true,\n        \"maxOccur\": true,\n        \"maxPartSize\": true,\n        \"maxSize\": true,\n        \"minNumParts\": true,\n        \"minOccur\": true,\n        \"minPartSize\": true,\n        \"minSize\": true,\n        \"mset\": true,\n        \"numParts\": true,\n        \"of\": true,\n        \"partial\": true,\n        \"partition\": true,\n        \"partSize\": true,\n        \"preImage\": true,\n        \"quantifier\": true,\n        \"range\": true,\n        \"regular\": true,\n        \"relation\": true,\n        \"representation\": true,\n        \"set\": true,\n        \"size\": true,\n        \"subset\": true,\n        \"subsetEq\": true,\n        \"such\": true,\n        \"supset\": true,\n        \"supsetEq\": true,\n        \"surjective\": true,\n        \"that\": true,\n        \"together\": true,\n        \"enum\": true,\n        \"total\": true,\n        \"true\": true,\n        \"new\": true,\n        \"type\": true,\n        \"tuple\": true,\n        \"union\": true,\n        \"where\": true,\n        \"branching\": true,\n        \"on\": true\n    };  \n    var punc = \":;,.(){}[]\";\n\n    function tokenBase(stream, state) {\n        var ch = stream.next();\n        if (ch == '\"') {\n            state.tokenize.push(tokenString);\n            return tokenString(stream, state);\n        }\n        if (/[\\d\\.]/.test(ch)) {\n            if (ch == \".\") {\n                stream.match(/^[0-9]+([eE][\\-+]?[0-9]+)?/);\n            } else if (ch == \"0\") {\n                stream.match(/^[xX][0-9a-fA-F]+/) || stream.match(/^0[0-7]+/);\n            } else {\n                stream.match(/^[0-9]*\\.?[0-9]*([eE][\\-+]?[0-9]+)?/);\n            }\n            return \"number\";\n        }\n        if (ch == \"/\") {\n            if (stream.eat(\"*\")) {\n                state.tokenize.push(tokenComment);\n                return tokenComment(stream, state);\n            }\n        }\n        if (ch == \"$\") {\n            stream.skipToEnd();\n            return \"comment\";\n        }\n        if (isOperatorChar.test(ch)) {\n            stream.eatWhile(isOperatorChar);\n            return \"operator\";\n        }\n        if (punc.indexOf(ch) > -1) {\n            return \"punctuation\";\n        }\n        stream.eatWhile(/[\\w\\$_\\xa1-\\uffff]/);\n        var cur = stream.current();\n        \n        if (keywords.propertyIsEnumerable(cur)) {\n            return \"keyword\";\n        }\n        return \"variable\";\n    }\n\n    function tokenComment(stream, state) {\n        var maybeEnd = false, ch;\n        while (ch = stream.next()) {\n            if (ch == \"/\" && maybeEnd) {\n                state.tokenize.pop();\n                break;\n            }\n            maybeEnd = (ch == \"*\");\n        }\n        return \"comment\";\n    }\n\n    function tokenUntilClosingParen() {\n        var depth = 0;\n        return function (stream, state, prev) {\n            var inner = tokenBase(stream, state, prev);\n            console.log(\"untilClosing\", inner, stream.current());\n            if (inner == \"punctuation\") {\n                if (stream.current() == \"(\") {\n                    ++depth;\n                } else if (stream.current() == \")\") {\n                    if (depth == 0) {\n                        stream.backUp(1)\n                        state.tokenize.pop()\n                        return state.tokenize[state.tokenize.length - 1](stream, state)\n                    } else {\n                        --depth;\n                    }\n                }\n            }\n            return inner;\n        }\n    }\n\n    function tokenString(stream, state) {\n        var escaped = false, next, end = false;\n        while ((next = stream.next()) != null) {\n            if (next == '(' && escaped) {\n                state.tokenize.push(tokenUntilClosingParen());\n                return \"string\";\n            }\n            if (next == '\"' && !escaped) { end = true; break; }\n            escaped = !escaped && next == \"\\\\\";\n        }\n        if (end || !escaped)\n            state.tokenize.pop();\n        return \"string\";\n    }\n\n    return {\n        startState: function (basecolumn) {\n            return {\n                tokenize: []\n            };\n        },\n\n        token: function (stream, state) {\n            if (stream.eatSpace()) return null;\n            var style = (state.tokenize[state.tokenize.length - 1] || tokenBase)(stream, state);\n            console.log(\"token\", style);\n            return style;\n        },\n\n        blockCommentStart: \"/*\",\n        blockCommentEnd: \"*/\",\n        lineComment: \"$\"\n    };\n});\n\n\nCodeMirror.defineMIME(\"text/conjure\", \"text/conjure\");\n\nrequire(['notebook/js/codecell'], function (codecell) {\n    codecell.CodeCell.options_default.highlight_modes['magic_text/conjure'] = { 'reg': [/%?%conjure/] };\n    Jupyter.notebook.events.one('kernel_ready.Kernel', function () {\n        Jupyter.notebook.get_cells().map(function (cell) {\n            if (cell.cell_type == 'code') { cell.auto_highlight(); }\n        });\n    });\n});\n\n",
             "text/plain": [
               "<IPython.core.display.Javascript object>"
-            ],
-            "application/javascript": [
-              "\"use strict\";\n",
-              "\n",
-              "CodeMirror.defineMode(\"text/conjure\", function (config) {\n",
-              "\n",
-              "    var isOperatorChar = /[+\\-*=<>%^\\/]/;\n",
-              "\n",
-              "    var keywords = {\n",
-              "        \"forall\": true,\n",
-              "        \"allDifferent\": true,\n",
-              "        \"allDiff\": true,\n",
-              "        \"alldifferent_except\": true,\n",
-              "        \"dim\": true,\n",
-              "        \"toSet\": true,\n",
-              "        \"toMSet\": true,\n",
-              "        \"toRelation\": true,\n",
-              "        \"maximising\": true,\n",
-              "        \"minimising\": true,\n",
-              "        \"forAll\": true,\n",
-              "        \"exists\": true,\n",
-              "        \"toInt\": true,\n",
-              "        \"sum\": true,\n",
-              "        \"be\": true,\n",
-              "        \"bijective\": true,\n",
-              "        \"bool\": true,\n",
-              "        \"by\": true,\n",
-              "        \"complete\": true,\n",
-              "        \"defined\": true,\n",
-              "        \"domain\": true,\n",
-              "        \"in\": true,\n",
-              "        \"or\": true,\n",
-              "        \"and\": true,\n",
-              "        \"false\": true,\n",
-              "        \"find\": true,\n",
-              "        \"from\": true,\n",
-              "        \"function\": true,\n",
-              "        \"given\": true,\n",
-              "        \"image\": true,\n",
-              "        \"indexed\": true,\n",
-              "        \"injective\": true,\n",
-              "        \"int\": true,\n",
-              "        \"intersect\": true,\n",
-              "        \"freq\": true,\n",
-              "        \"lambda\": true,\n",
-              "        \"language\": true,\n",
-              "        \"letting\": true,\n",
-              "        \"matrix\": true,\n",
-              "        \"maxNumParts\": true,\n",
-              "        \"maxOccur\": true,\n",
-              "        \"maxPartSize\": true,\n",
-              "        \"maxSize\": true,\n",
-              "        \"minNumParts\": true,\n",
-              "        \"minOccur\": true,\n",
-              "        \"minPartSize\": true,\n",
-              "        \"minSize\": true,\n",
-              "        \"mset\": true,\n",
-              "        \"numParts\": true,\n",
-              "        \"of\": true,\n",
-              "        \"partial\": true,\n",
-              "        \"partition\": true,\n",
-              "        \"partSize\": true,\n",
-              "        \"preImage\": true,\n",
-              "        \"quantifier\": true,\n",
-              "        \"range\": true,\n",
-              "        \"regular\": true,\n",
-              "        \"relation\": true,\n",
-              "        \"representation\": true,\n",
-              "        \"set\": true,\n",
-              "        \"size\": true,\n",
-              "        \"subset\": true,\n",
-              "        \"subsetEq\": true,\n",
-              "        \"such\": true,\n",
-              "        \"supset\": true,\n",
-              "        \"supsetEq\": true,\n",
-              "        \"surjective\": true,\n",
-              "        \"that\": true,\n",
-              "        \"together\": true,\n",
-              "        \"enum\": true,\n",
-              "        \"total\": true,\n",
-              "        \"true\": true,\n",
-              "        \"new\": true,\n",
-              "        \"type\": true,\n",
-              "        \"tuple\": true,\n",
-              "        \"union\": true,\n",
-              "        \"where\": true,\n",
-              "        \"branching\": true,\n",
-              "        \"on\": true\n",
-              "    };  \n",
-              "    var punc = \":;,.(){}[]\";\n",
-              "\n",
-              "    function tokenBase(stream, state) {\n",
-              "        var ch = stream.next();\n",
-              "        if (ch == '\"') {\n",
-              "            state.tokenize.push(tokenString);\n",
-              "            return tokenString(stream, state);\n",
-              "        }\n",
-              "        if (/[\\d\\.]/.test(ch)) {\n",
-              "            if (ch == \".\") {\n",
-              "                stream.match(/^[0-9]+([eE][\\-+]?[0-9]+)?/);\n",
-              "            } else if (ch == \"0\") {\n",
-              "                stream.match(/^[xX][0-9a-fA-F]+/) || stream.match(/^0[0-7]+/);\n",
-              "            } else {\n",
-              "                stream.match(/^[0-9]*\\.?[0-9]*([eE][\\-+]?[0-9]+)?/);\n",
-              "            }\n",
-              "            return \"number\";\n",
-              "        }\n",
-              "        if (ch == \"/\") {\n",
-              "            if (stream.eat(\"*\")) {\n",
-              "                state.tokenize.push(tokenComment);\n",
-              "                return tokenComment(stream, state);\n",
-              "            }\n",
-              "        }\n",
-              "        if (ch == \"$\") {\n",
-              "            stream.skipToEnd();\n",
-              "            return \"comment\";\n",
-              "        }\n",
-              "        if (isOperatorChar.test(ch)) {\n",
-              "            stream.eatWhile(isOperatorChar);\n",
-              "            return \"operator\";\n",
-              "        }\n",
-              "        if (punc.indexOf(ch) > -1) {\n",
-              "            return \"punctuation\";\n",
-              "        }\n",
-              "        stream.eatWhile(/[\\w\\$_\\xa1-\\uffff]/);\n",
-              "        var cur = stream.current();\n",
-              "        \n",
-              "        if (keywords.propertyIsEnumerable(cur)) {\n",
-              "            return \"keyword\";\n",
-              "        }\n",
-              "        return \"variable\";\n",
-              "    }\n",
-              "\n",
-              "    function tokenComment(stream, state) {\n",
-              "        var maybeEnd = false, ch;\n",
-              "        while (ch = stream.next()) {\n",
-              "            if (ch == \"/\" && maybeEnd) {\n",
-              "                state.tokenize.pop();\n",
-              "                break;\n",
-              "            }\n",
-              "            maybeEnd = (ch == \"*\");\n",
-              "        }\n",
-              "        return \"comment\";\n",
-              "    }\n",
-              "\n",
-              "    function tokenUntilClosingParen() {\n",
-              "        var depth = 0;\n",
-              "        return function (stream, state, prev) {\n",
-              "            var inner = tokenBase(stream, state, prev);\n",
-              "            console.log(\"untilClosing\", inner, stream.current());\n",
-              "            if (inner == \"punctuation\") {\n",
-              "                if (stream.current() == \"(\") {\n",
-              "                    ++depth;\n",
-              "                } else if (stream.current() == \")\") {\n",
-              "                    if (depth == 0) {\n",
-              "                        stream.backUp(1)\n",
-              "                        state.tokenize.pop()\n",
-              "                        return state.tokenize[state.tokenize.length - 1](stream, state)\n",
-              "                    } else {\n",
-              "                        --depth;\n",
-              "                    }\n",
-              "                }\n",
-              "            }\n",
-              "            return inner;\n",
-              "        }\n",
-              "    }\n",
-              "\n",
-              "    function tokenString(stream, state) {\n",
-              "        var escaped = false, next, end = false;\n",
-              "        while ((next = stream.next()) != null) {\n",
-              "            if (next == '(' && escaped) {\n",
-              "                state.tokenize.push(tokenUntilClosingParen());\n",
-              "                return \"string\";\n",
-              "            }\n",
-              "            if (next == '\"' && !escaped) { end = true; break; }\n",
-              "            escaped = !escaped && next == \"\\\\\";\n",
-              "        }\n",
-              "        if (end || !escaped)\n",
-              "            state.tokenize.pop();\n",
-              "        return \"string\";\n",
-              "    }\n",
-              "\n",
-              "    return {\n",
-              "        startState: function (basecolumn) {\n",
-              "            return {\n",
-              "                tokenize: []\n",
-              "            };\n",
-              "        },\n",
-              "\n",
-              "        token: function (stream, state) {\n",
-              "            if (stream.eatSpace()) return null;\n",
-              "            var style = (state.tokenize[state.tokenize.length - 1] || tokenBase)(stream, state);\n",
-              "            console.log(\"token\", style);\n",
-              "            return style;\n",
-              "        },\n",
-              "\n",
-              "        blockCommentStart: \"/*\",\n",
-              "        blockCommentEnd: \"*/\",\n",
-              "        lineComment: \"$\"\n",
-              "    };\n",
-              "});\n",
-              "\n",
-              "\n",
-              "CodeMirror.defineMIME(\"text/conjure\", \"text/conjure\");\n",
-              "\n",
-              "require(['notebook/js/codecell'], function (codecell) {\n",
-              "    codecell.CodeCell.options_default.highlight_modes['magic_text/conjure'] = { 'reg': [/%?%conjure/] };\n",
-              "    Jupyter.notebook.events.one('kernel_ready.Kernel', function () {\n",
-              "        Jupyter.notebook.get_cells().map(function (cell) {\n",
-              "            if (cell.cell_type == 'code') { cell.auto_highlight(); }\n",
-              "        });\n",
-              "    });\n",
-              "});\n",
-              "\n"
             ]
           },
-          "metadata": {}
+          "metadata": {},
+          "output_type": "display_data"
         },
         {
-          "output_type": "stream",
           "name": "stdout",
+          "output_type": "stream",
           "text": [
             "Conjure extension is loaded.\n",
             "For usage help run: %conjure_help\n"
@@ -299,15 +90,17 @@
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
       "metadata": {
         "id": "cFk1jIuP38LE"
       },
       "source": [
-        "##Initial specification"
+        "## Initial specification"
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
       "metadata": {
         "id": "JwAsti574JRJ"
@@ -317,6 +110,7 @@
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
       "metadata": {
         "id": "T1zikM3e9xl-"
@@ -358,6 +152,7 @@
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
       "metadata": {
         "id": "jOAzUfPt-lYH"
@@ -367,6 +162,7 @@
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
       "metadata": {
         "id": "_7i2Q2GG-utJ"
@@ -387,14 +183,14 @@
       },
       "outputs": [
         {
-          "output_type": "execute_result",
           "data": {
             "text/plain": [
               "{}"
             ]
           },
+          "execution_count": 2,
           "metadata": {},
-          "execution_count": 2
+          "output_type": "execute_result"
         }
       ],
       "source": [
@@ -420,6 +216,7 @@
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
       "metadata": {
         "id": "GZWxlTxR_Mc0"
@@ -429,15 +226,17 @@
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
       "metadata": {
         "id": "qsGFV5Dv_OOQ"
       },
       "source": [
-        "##Changing an overly restrictive assumption"
+        "## Changing an overly restrictive assumption"
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
       "metadata": {
         "id": "fv7fysoh_QtW"
@@ -461,8 +260,8 @@
       },
       "outputs": [
         {
-          "output_type": "stream",
           "name": "stderr",
+          "output_type": "stream",
           "text": [
             "Exception: Error:\n",
             "    In a 'such that' statement:\n",
@@ -497,6 +296,7 @@
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
       "metadata": {
         "id": "kE06me_J_09p"
@@ -510,15 +310,17 @@
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
       "metadata": {
         "id": "0uBBIwlX_9am"
       },
       "source": [
-        "##Final model"
+        "## Final model"
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
       "metadata": {
         "id": "6QotfeQu__8C"
@@ -528,6 +330,7 @@
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
       "metadata": {
         "id": "ISY-4C0-AGHi"
@@ -549,6 +352,7 @@
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
       "metadata": {
         "id": "8LptUFIwAV4v"
@@ -558,6 +362,7 @@
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
       "metadata": {
         "id": "Lg0TdcXwAbx_"
@@ -601,6 +406,7 @@
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
       "metadata": {
         "id": "KvbAlL_O_hrQ"
@@ -613,16 +419,16 @@
       "cell_type": "code",
       "execution_count": 6,
       "metadata": {
-        "id": "vm7aSCAp_2LF",
         "colab": {
           "base_uri": "https://localhost:8080/"
         },
+        "id": "vm7aSCAp_2LF",
         "outputId": "d7adbd4e-54cd-465d-bb97-bcd8f9c5558f"
       },
       "outputs": [
         {
-          "output_type": "stream",
           "name": "stdout",
+          "output_type": "stream",
           "text": [
             "[[[1, 2], 'Early'], [[1, 3], 'Early'], [[1, 4], 'Late'], [[1, 5], 'Late'], [[2, 2], 'Early'], [[2, 3], 'Late'], [[2, 4], 'Night'], [[2, 5], 'Night'], [[3, 2], 'Early'], [[3, 3], 'Late'], [[3, 4], 'Night'], [[4, 5], 'Night'], [[5, 2], 'Early'], [[5, 3], 'Late'], [[5, 4], 'Night'], [[5, 5], 'Night'], [[6, 1], 'Early'], [[6, 2], 'Early'], [[6, 3], 'Late'], [[6, 4], 'Night'], [[7, 4], 'Night'], [[7, 5], 'Late']]\n"
           ]
@@ -633,6 +439,7 @@
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
       "metadata": {
         "id": "vZZnYwBxANRW"
@@ -653,7 +460,6 @@
       },
       "outputs": [
         {
-          "output_type": "execute_result",
           "data": {
             "text/plain": [
               "{'roster': [[[1, 2], 'Early'],\n",
@@ -680,8 +486,9 @@
               "  [[7, 5], 'Late']]}"
             ]
           },
+          "execution_count": 5,
           "metadata": {},
-          "execution_count": 5
+          "output_type": "execute_result"
         }
       ],
       "source": [
@@ -709,6 +516,7 @@
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
       "metadata": {
         "id": "jav2lI9SA1mf"
@@ -718,6 +526,7 @@
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
       "metadata": {
         "id": "OZwGGTmKPqOQ"
@@ -727,6 +536,7 @@
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
       "metadata": {
         "id": "6XoriFZKPu0L"
@@ -750,6 +560,7 @@
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
       "metadata": {
         "id": "-1_QNf5HTYz-"
@@ -770,7 +581,6 @@
       },
       "outputs": [
         {
-          "output_type": "execute_result",
           "data": {
             "text/plain": [
               "{'roster': [[[1, 2], 'Early'],\n",
@@ -797,8 +607,9 @@
               "  [[7, 5], 'Late']]}"
             ]
           },
+          "execution_count": 8,
           "metadata": {},
-          "execution_count": 8
+          "output_type": "execute_result"
         }
       ],
       "source": [
@@ -826,15 +637,17 @@
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
       "metadata": {
         "id": "oEO7p5otBLGj"
       },
       "source": [
-        "##Representations"
+        "## Visualisations"
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
       "metadata": {
         "id": "vpX_tZdQBOGH"
@@ -856,15 +669,553 @@
       },
       "outputs": [
         {
-          "output_type": "execute_result",
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+              "<title>Late1</title>\n",
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+              "</g>\n",
+              "<!-- Late1&#45;&gt;0 -->\n",
+              "<g id=\"edge7\" class=\"edge\">\n",
+              "<title>Late1&#45;&gt;0</title>\n",
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+              "<g id=\"node5\" class=\"node\">\n",
+              "<title>2</title>\n",
+              "<polygon fill=\"none\" stroke=\"orange\" points=\"97.5,-1024 20.5,-1024 16.5,-1020 16.5,-988 93.5,-988 97.5,-992 97.5,-1024\"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"93.5,-1020 16.5,-1020 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"93.5,-1020 93.5,-988 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"93.5,-1020 97.5,-1024 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"57\" y=\"-1002.3\" font-family=\"Times,serif\" font-size=\"14.00\">Nurse ID: 2</text>\n",
+              "</g>\n",
+              "<!-- Early1&#45;&gt;2 -->\n",
+              "<g id=\"edge9\" class=\"edge\">\n",
+              "<title>Early1&#45;&gt;2</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M93.89,-1059.7C88.13,-1051.47 81.14,-1041.48 74.79,-1032.42\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"77.58,-1030.29 68.97,-1024.1 71.84,-1034.3 77.58,-1030.29\"/>\n",
+              "</g>\n",
+              "<!-- 3 -->\n",
+              "<g id=\"node6\" class=\"node\">\n",
+              "<title>3</title>\n",
+              "<polygon fill=\"none\" stroke=\"orange\" points=\"196.5,-1024 119.5,-1024 115.5,-1020 115.5,-988 192.5,-988 196.5,-992 196.5,-1024\"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"192.5,-1020 115.5,-1020 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"192.5,-1020 192.5,-988 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"192.5,-1020 196.5,-1024 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"156\" y=\"-1002.3\" font-family=\"Times,serif\" font-size=\"14.00\">Nurse ID: 3</text>\n",
+              "</g>\n",
+              "<!-- Early1&#45;&gt;3 -->\n",
+              "<g id=\"edge10\" class=\"edge\">\n",
+              "<title>Early1&#45;&gt;3</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M118.36,-1059.7C124.23,-1051.47 131.37,-1041.48 137.84,-1032.42\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"140.82,-1034.28 143.78,-1024.1 135.12,-1030.21 140.82,-1034.28\"/>\n",
+              "</g>\n",
+              "<!-- Early2 -->\n",
+              "<g id=\"node12\" class=\"node\">\n",
+              "<title>Early2</title>\n",
+              "<polygon fill=\"none\" stroke=\"purple\" points=\"84,-934 34,-934 30,-930 30,-898 80,-898 84,-902 84,-934\"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"80,-930 30,-930 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"80,-930 80,-898 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"80,-930 84,-934 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"57\" y=\"-912.3\" font-family=\"Times,serif\" font-size=\"14.00\">Early</text>\n",
+              "</g>\n",
+              "<!-- 2&#45;&gt;Early2 -->\n",
+              "<!-- Night2 -->\n",
+              "<g id=\"node7\" class=\"node\">\n",
+              "<title>Night2</title>\n",
+              "<polygon fill=\"none\" stroke=\"purple\" points=\"331,-934 281,-934 277,-930 277,-898 327,-898 331,-902 331,-934\"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"327,-930 277,-930 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"327,-930 327,-898 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"327,-930 331,-934 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"304\" y=\"-912.3\" font-family=\"Times,serif\" font-size=\"14.00\">Night</text>\n",
+              "</g>\n",
+              "<!-- 4 -->\n",
+              "<g id=\"node8\" class=\"node\">\n",
+              "<title>4</title>\n",
+              "<polygon fill=\"none\" stroke=\"orange\" points=\"295.5,-862 218.5,-862 214.5,-858 214.5,-826 291.5,-826 295.5,-830 295.5,-862\"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"291.5,-858 214.5,-858 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"291.5,-858 291.5,-826 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"291.5,-858 295.5,-862 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"255\" y=\"-840.3\" font-family=\"Times,serif\" font-size=\"14.00\">Nurse ID: 4</text>\n",
+              "</g>\n",
+              "<!-- Night2&#45;&gt;4 -->\n",
+              "<g id=\"edge11\" class=\"edge\">\n",
+              "<title>Night2&#45;&gt;4</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M291.89,-897.7C286.13,-889.47 279.14,-879.48 272.79,-870.42\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"275.58,-868.29 266.97,-862.1 269.84,-872.3 275.58,-868.29\"/>\n",
+              "</g>\n",
+              "<!-- 5 -->\n",
+              "<g id=\"node9\" class=\"node\">\n",
+              "<title>5</title>\n",
+              "<polygon fill=\"none\" stroke=\"orange\" points=\"394.5,-862 317.5,-862 313.5,-858 313.5,-826 390.5,-826 394.5,-830 394.5,-862\"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"390.5,-858 313.5,-858 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"390.5,-858 390.5,-826 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"390.5,-858 394.5,-862 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"354\" y=\"-840.3\" font-family=\"Times,serif\" font-size=\"14.00\">Nurse ID: 5</text>\n",
+              "</g>\n",
+              "<!-- Night2&#45;&gt;5 -->\n",
+              "<g id=\"edge12\" class=\"edge\">\n",
+              "<title>Night2&#45;&gt;5</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M316.36,-897.7C322.23,-889.47 329.37,-879.48 335.84,-870.42\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"338.82,-872.28 341.78,-862.1 333.12,-868.21 338.82,-872.28\"/>\n",
+              "</g>\n",
+              "<!-- Late2 -->\n",
+              "<g id=\"node10\" class=\"node\">\n",
+              "<title>Late2</title>\n",
+              "<polygon fill=\"none\" stroke=\"purple\" points=\"183,-934 133,-934 129,-930 129,-898 179,-898 183,-902 183,-934\"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"179,-930 129,-930 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"179,-930 179,-898 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"179,-930 183,-934 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"156\" y=\"-912.3\" font-family=\"Times,serif\" font-size=\"14.00\">Late</text>\n",
+              "</g>\n",
+              "<!-- 6 -->\n",
+              "<g id=\"node11\" class=\"node\">\n",
+              "<title>6</title>\n",
+              "<polygon fill=\"none\" stroke=\"orange\" points=\"196.5,-862 119.5,-862 115.5,-858 115.5,-826 192.5,-826 196.5,-830 196.5,-862\"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"192.5,-858 115.5,-858 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"192.5,-858 192.5,-826 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"192.5,-858 196.5,-862 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"156\" y=\"-840.3\" font-family=\"Times,serif\" font-size=\"14.00\">Nurse ID: 3</text>\n",
+              "</g>\n",
+              "<!-- Late2&#45;&gt;6 -->\n",
+              "<g id=\"edge13\" class=\"edge\">\n",
+              "<title>Late2&#45;&gt;6</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M156,-897.7C156,-889.98 156,-880.71 156,-872.11\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"159.5,-872.1 156,-862.1 152.5,-872.1 159.5,-872.1\"/>\n",
+              "</g>\n",
+              "<!-- 7 -->\n",
+              "<g id=\"node13\" class=\"node\">\n",
+              "<title>7</title>\n",
+              "<polygon fill=\"none\" stroke=\"orange\" points=\"97.5,-862 20.5,-862 16.5,-858 16.5,-826 93.5,-826 97.5,-830 97.5,-862\"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"93.5,-858 16.5,-858 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"93.5,-858 93.5,-826 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"93.5,-858 97.5,-862 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"57\" y=\"-840.3\" font-family=\"Times,serif\" font-size=\"14.00\">Nurse ID: 2</text>\n",
+              "</g>\n",
+              "<!-- Early2&#45;&gt;7 -->\n",
+              "<g id=\"edge14\" class=\"edge\">\n",
+              "<title>Early2&#45;&gt;7</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M57,-897.7C57,-889.98 57,-880.71 57,-872.11\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"60.5,-872.1 57,-862.1 53.5,-872.1 60.5,-872.1\"/>\n",
+              "</g>\n",
+              "<!-- Early3 -->\n",
+              "<g id=\"node18\" class=\"node\">\n",
+              "<title>Early3</title>\n",
+              "<polygon fill=\"none\" stroke=\"purple\" points=\"84,-772 34,-772 30,-768 30,-736 80,-736 84,-740 84,-772\"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"80,-768 30,-768 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"80,-768 80,-736 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"80,-768 84,-772 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"57\" y=\"-750.3\" font-family=\"Times,serif\" font-size=\"14.00\">Early</text>\n",
+              "</g>\n",
+              "<!-- 7&#45;&gt;Early3 -->\n",
+              "<!-- Night3 -->\n",
+              "<g id=\"node14\" class=\"node\">\n",
+              "<title>Night3</title>\n",
+              "<polygon fill=\"none\" stroke=\"purple\" points=\"282,-772 232,-772 228,-768 228,-736 278,-736 282,-740 282,-772\"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"278,-768 228,-768 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"278,-768 278,-736 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"278,-768 282,-772 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"255\" y=\"-750.3\" font-family=\"Times,serif\" font-size=\"14.00\">Night</text>\n",
+              "</g>\n",
+              "<!-- 8 -->\n",
+              "<g id=\"node15\" class=\"node\">\n",
+              "<title>8</title>\n",
+              "<polygon fill=\"none\" stroke=\"orange\" points=\"295.5,-700 218.5,-700 214.5,-696 214.5,-664 291.5,-664 295.5,-668 295.5,-700\"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"291.5,-696 214.5,-696 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"291.5,-696 291.5,-664 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"291.5,-696 295.5,-700 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"255\" y=\"-678.3\" font-family=\"Times,serif\" font-size=\"14.00\">Nurse ID: 4</text>\n",
+              "</g>\n",
+              "<!-- Night3&#45;&gt;8 -->\n",
+              "<g id=\"edge15\" class=\"edge\">\n",
+              "<title>Night3&#45;&gt;8</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M255,-735.7C255,-727.98 255,-718.71 255,-710.11\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"258.5,-710.1 255,-700.1 251.5,-710.1 258.5,-710.1\"/>\n",
+              "</g>\n",
+              "<!-- Late3 -->\n",
+              "<g id=\"node16\" class=\"node\">\n",
+              "<title>Late3</title>\n",
+              "<polygon fill=\"none\" stroke=\"purple\" points=\"183,-772 133,-772 129,-768 129,-736 179,-736 183,-740 183,-772\"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"179,-768 129,-768 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"179,-768 179,-736 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"179,-768 183,-772 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"156\" y=\"-750.3\" font-family=\"Times,serif\" font-size=\"14.00\">Late</text>\n",
+              "</g>\n",
+              "<!-- 9 -->\n",
+              "<g id=\"node17\" class=\"node\">\n",
+              "<title>9</title>\n",
+              "<polygon fill=\"none\" stroke=\"orange\" points=\"196.5,-700 119.5,-700 115.5,-696 115.5,-664 192.5,-664 196.5,-668 196.5,-700\"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"192.5,-696 115.5,-696 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"192.5,-696 192.5,-664 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"192.5,-696 196.5,-700 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"156\" y=\"-678.3\" font-family=\"Times,serif\" font-size=\"14.00\">Nurse ID: 3</text>\n",
+              "</g>\n",
+              "<!-- Late3&#45;&gt;9 -->\n",
+              "<g id=\"edge16\" class=\"edge\">\n",
+              "<title>Late3&#45;&gt;9</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M156,-735.7C156,-727.98 156,-718.71 156,-710.11\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"159.5,-710.1 156,-700.1 152.5,-710.1 159.5,-710.1\"/>\n",
+              "</g>\n",
+              "<!-- 10 -->\n",
+              "<g id=\"node19\" class=\"node\">\n",
+              "<title>10</title>\n",
+              "<polygon fill=\"none\" stroke=\"orange\" points=\"97.5,-700 20.5,-700 16.5,-696 16.5,-664 93.5,-664 97.5,-668 97.5,-700\"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"93.5,-696 16.5,-696 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"93.5,-696 93.5,-664 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"93.5,-696 97.5,-700 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"57\" y=\"-678.3\" font-family=\"Times,serif\" font-size=\"14.00\">Nurse ID: 2</text>\n",
+              "</g>\n",
+              "<!-- Early3&#45;&gt;10 -->\n",
+              "<g id=\"edge17\" class=\"edge\">\n",
+              "<title>Early3&#45;&gt;10</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M57,-735.7C57,-727.98 57,-718.71 57,-710.11\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"60.5,-710.1 57,-700.1 53.5,-710.1 60.5,-710.1\"/>\n",
+              "</g>\n",
+              "<!-- Night4 -->\n",
+              "<g id=\"node20\" class=\"node\">\n",
+              "<title>Night4</title>\n",
+              "<polygon fill=\"none\" stroke=\"purple\" points=\"84,-610 34,-610 30,-606 30,-574 80,-574 84,-578 84,-610\"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"80,-606 30,-606 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"80,-606 80,-574 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"80,-606 84,-610 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"57\" y=\"-588.3\" font-family=\"Times,serif\" font-size=\"14.00\">Night</text>\n",
+              "</g>\n",
+              "<!-- 10&#45;&gt;Night4 -->\n",
+              "<!-- 11 -->\n",
+              "<g id=\"node21\" class=\"node\">\n",
+              "<title>11</title>\n",
+              "<polygon fill=\"none\" stroke=\"orange\" points=\"97.5,-538 20.5,-538 16.5,-534 16.5,-502 93.5,-502 97.5,-506 97.5,-538\"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"93.5,-534 16.5,-534 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"93.5,-534 93.5,-502 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"93.5,-534 97.5,-538 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"57\" y=\"-516.3\" font-family=\"Times,serif\" font-size=\"14.00\">Nurse ID: 5</text>\n",
+              "</g>\n",
+              "<!-- Night4&#45;&gt;11 -->\n",
+              "<g id=\"edge18\" class=\"edge\">\n",
+              "<title>Night4&#45;&gt;11</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M57,-573.7C57,-565.98 57,-556.71 57,-548.11\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"60.5,-548.1 57,-538.1 53.5,-548.1 60.5,-548.1\"/>\n",
+              "</g>\n",
+              "<!-- Early5 -->\n",
+              "<g id=\"node27\" class=\"node\">\n",
+              "<title>Early5</title>\n",
+              "<polygon fill=\"none\" stroke=\"purple\" points=\"84,-448 34,-448 30,-444 30,-412 80,-412 84,-416 84,-448\"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"80,-444 30,-444 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"80,-444 80,-412 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"80,-444 84,-448 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"57\" y=\"-426.3\" font-family=\"Times,serif\" font-size=\"14.00\">Early</text>\n",
+              "</g>\n",
+              "<!-- 11&#45;&gt;Early5 -->\n",
+              "<!-- Night5 -->\n",
+              "<g id=\"node22\" class=\"node\">\n",
+              "<title>Night5</title>\n",
+              "<polygon fill=\"none\" stroke=\"purple\" points=\"331,-448 281,-448 277,-444 277,-412 327,-412 331,-416 331,-448\"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"327,-444 277,-444 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"327,-444 327,-412 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"327,-444 331,-448 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"304\" y=\"-426.3\" font-family=\"Times,serif\" font-size=\"14.00\">Night</text>\n",
+              "</g>\n",
+              "<!-- 12 -->\n",
+              "<g id=\"node23\" class=\"node\">\n",
+              "<title>12</title>\n",
+              "<polygon fill=\"none\" stroke=\"orange\" points=\"295.5,-376 218.5,-376 214.5,-372 214.5,-340 291.5,-340 295.5,-344 295.5,-376\"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"291.5,-372 214.5,-372 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"291.5,-372 291.5,-340 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"291.5,-372 295.5,-376 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"255\" y=\"-354.3\" font-family=\"Times,serif\" font-size=\"14.00\">Nurse ID: 4</text>\n",
+              "</g>\n",
+              "<!-- Night5&#45;&gt;12 -->\n",
+              "<g id=\"edge19\" class=\"edge\">\n",
+              "<title>Night5&#45;&gt;12</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M291.89,-411.7C286.13,-403.47 279.14,-393.48 272.79,-384.42\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"275.58,-382.29 266.97,-376.1 269.84,-386.3 275.58,-382.29\"/>\n",
+              "</g>\n",
+              "<!-- 13 -->\n",
+              "<g id=\"node24\" class=\"node\">\n",
+              "<title>13</title>\n",
+              "<polygon fill=\"none\" stroke=\"orange\" points=\"394.5,-376 317.5,-376 313.5,-372 313.5,-340 390.5,-340 394.5,-344 394.5,-376\"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"390.5,-372 313.5,-372 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"390.5,-372 390.5,-340 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"390.5,-372 394.5,-376 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"354\" y=\"-354.3\" font-family=\"Times,serif\" font-size=\"14.00\">Nurse ID: 5</text>\n",
+              "</g>\n",
+              "<!-- Night5&#45;&gt;13 -->\n",
+              "<g id=\"edge20\" class=\"edge\">\n",
+              "<title>Night5&#45;&gt;13</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M316.36,-411.7C322.23,-403.47 329.37,-393.48 335.84,-384.42\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"338.82,-386.28 341.78,-376.1 333.12,-382.21 338.82,-386.28\"/>\n",
+              "</g>\n",
+              "<!-- Late6 -->\n",
+              "<g id=\"node31\" class=\"node\">\n",
+              "<title>Late6</title>\n",
+              "<polygon fill=\"none\" stroke=\"purple\" points=\"282,-286 232,-286 228,-282 228,-250 278,-250 282,-254 282,-286\"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"278,-282 228,-282 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"278,-282 278,-250 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"278,-282 282,-286 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"255\" y=\"-264.3\" font-family=\"Times,serif\" font-size=\"14.00\">Late</text>\n",
+              "</g>\n",
+              "<!-- 12&#45;&gt;Late6 -->\n",
+              "<!-- Late5 -->\n",
+              "<g id=\"node25\" class=\"node\">\n",
+              "<title>Late5</title>\n",
+              "<polygon fill=\"none\" stroke=\"purple\" points=\"183,-448 133,-448 129,-444 129,-412 179,-412 183,-416 183,-448\"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"179,-444 129,-444 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"179,-444 179,-412 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"179,-444 183,-448 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"156\" y=\"-426.3\" font-family=\"Times,serif\" font-size=\"14.00\">Late</text>\n",
+              "</g>\n",
+              "<!-- 14 -->\n",
+              "<g id=\"node26\" class=\"node\">\n",
+              "<title>14</title>\n",
+              "<polygon fill=\"none\" stroke=\"orange\" points=\"196.5,-376 119.5,-376 115.5,-372 115.5,-340 192.5,-340 196.5,-344 196.5,-376\"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"192.5,-372 115.5,-372 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"192.5,-372 192.5,-340 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"192.5,-372 196.5,-376 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"156\" y=\"-354.3\" font-family=\"Times,serif\" font-size=\"14.00\">Nurse ID: 3</text>\n",
+              "</g>\n",
+              "<!-- Late5&#45;&gt;14 -->\n",
+              "<g id=\"edge21\" class=\"edge\">\n",
+              "<title>Late5&#45;&gt;14</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M156,-411.7C156,-403.98 156,-394.71 156,-386.11\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"159.5,-386.1 156,-376.1 152.5,-386.1 159.5,-386.1\"/>\n",
+              "</g>\n",
+              "<!-- 15 -->\n",
+              "<g id=\"node28\" class=\"node\">\n",
+              "<title>15</title>\n",
+              "<polygon fill=\"none\" stroke=\"orange\" points=\"97.5,-376 20.5,-376 16.5,-372 16.5,-340 93.5,-340 97.5,-344 97.5,-376\"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"93.5,-372 16.5,-372 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"93.5,-372 93.5,-340 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"93.5,-372 97.5,-376 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"57\" y=\"-354.3\" font-family=\"Times,serif\" font-size=\"14.00\">Nurse ID: 2</text>\n",
+              "</g>\n",
+              "<!-- Early5&#45;&gt;15 -->\n",
+              "<g id=\"edge22\" class=\"edge\">\n",
+              "<title>Early5&#45;&gt;15</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M57,-411.7C57,-403.98 57,-394.71 57,-386.11\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"60.5,-386.1 57,-376.1 53.5,-386.1 60.5,-386.1\"/>\n",
+              "</g>\n",
+              "<!-- Night6 -->\n",
+              "<g id=\"node29\" class=\"node\">\n",
+              "<title>Night6</title>\n",
+              "<polygon fill=\"none\" stroke=\"purple\" points=\"381,-286 331,-286 327,-282 327,-250 377,-250 381,-254 381,-286\"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"377,-282 327,-282 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"377,-282 377,-250 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"377,-282 381,-286 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"354\" y=\"-264.3\" font-family=\"Times,serif\" font-size=\"14.00\">Night</text>\n",
+              "</g>\n",
+              "<!-- 16 -->\n",
+              "<g id=\"node30\" class=\"node\">\n",
+              "<title>16</title>\n",
+              "<polygon fill=\"none\" stroke=\"orange\" points=\"394.5,-214 317.5,-214 313.5,-210 313.5,-178 390.5,-178 394.5,-182 394.5,-214\"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"390.5,-210 313.5,-210 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"390.5,-210 390.5,-178 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"390.5,-210 394.5,-214 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"354\" y=\"-192.3\" font-family=\"Times,serif\" font-size=\"14.00\">Nurse ID: 4</text>\n",
+              "</g>\n",
+              "<!-- Night6&#45;&gt;16 -->\n",
+              "<g id=\"edge23\" class=\"edge\">\n",
+              "<title>Night6&#45;&gt;16</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M354,-249.7C354,-241.98 354,-232.71 354,-224.11\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"357.5,-224.1 354,-214.1 350.5,-224.1 357.5,-224.1\"/>\n",
+              "</g>\n",
+              "<!-- 17 -->\n",
+              "<g id=\"node32\" class=\"node\">\n",
+              "<title>17</title>\n",
+              "<polygon fill=\"none\" stroke=\"orange\" points=\"295.5,-214 218.5,-214 214.5,-210 214.5,-178 291.5,-178 295.5,-182 295.5,-214\"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"291.5,-210 214.5,-210 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"291.5,-210 291.5,-178 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"291.5,-210 295.5,-214 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"255\" y=\"-192.3\" font-family=\"Times,serif\" font-size=\"14.00\">Nurse ID: 3</text>\n",
+              "</g>\n",
+              "<!-- Late6&#45;&gt;17 -->\n",
+              "<g id=\"edge24\" class=\"edge\">\n",
+              "<title>Late6&#45;&gt;17</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M255,-249.7C255,-241.98 255,-232.71 255,-224.11\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"258.5,-224.1 255,-214.1 251.5,-224.1 258.5,-224.1\"/>\n",
+              "</g>\n",
+              "<!-- Early6 -->\n",
+              "<g id=\"node33\" class=\"node\">\n",
+              "<title>Early6</title>\n",
+              "<polygon fill=\"none\" stroke=\"purple\" points=\"133,-286 83,-286 79,-282 79,-250 129,-250 133,-254 133,-286\"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"129,-282 79,-282 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"129,-282 129,-250 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"129,-282 133,-286 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"106\" y=\"-264.3\" font-family=\"Times,serif\" font-size=\"14.00\">Early</text>\n",
+              "</g>\n",
+              "<!-- 18 -->\n",
+              "<g id=\"node34\" class=\"node\">\n",
+              "<title>18</title>\n",
+              "<polygon fill=\"none\" stroke=\"orange\" points=\"97.5,-214 20.5,-214 16.5,-210 16.5,-178 93.5,-178 97.5,-182 97.5,-214\"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"93.5,-210 16.5,-210 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"93.5,-210 93.5,-178 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"93.5,-210 97.5,-214 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"57\" y=\"-192.3\" font-family=\"Times,serif\" font-size=\"14.00\">Nurse ID: 1</text>\n",
+              "</g>\n",
+              "<!-- Early6&#45;&gt;18 -->\n",
+              "<g id=\"edge25\" class=\"edge\">\n",
+              "<title>Early6&#45;&gt;18</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M93.89,-249.7C88.13,-241.47 81.14,-231.48 74.79,-222.42\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"77.58,-220.29 68.97,-214.1 71.84,-224.3 77.58,-220.29\"/>\n",
+              "</g>\n",
+              "<!-- 19 -->\n",
+              "<g id=\"node35\" class=\"node\">\n",
+              "<title>19</title>\n",
+              "<polygon fill=\"none\" stroke=\"orange\" points=\"196.5,-214 119.5,-214 115.5,-210 115.5,-178 192.5,-178 196.5,-182 196.5,-214\"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"192.5,-210 115.5,-210 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"192.5,-210 192.5,-178 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"192.5,-210 196.5,-214 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"156\" y=\"-192.3\" font-family=\"Times,serif\" font-size=\"14.00\">Nurse ID: 2</text>\n",
+              "</g>\n",
+              "<!-- Early6&#45;&gt;19 -->\n",
+              "<g id=\"edge26\" class=\"edge\">\n",
+              "<title>Early6&#45;&gt;19</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M118.36,-249.7C124.23,-241.47 131.37,-231.48 137.84,-222.42\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"140.82,-224.28 143.78,-214.1 135.12,-220.21 140.82,-224.28\"/>\n",
+              "</g>\n",
+              "<!-- Late7 -->\n",
+              "<g id=\"node38\" class=\"node\">\n",
+              "<title>Late7</title>\n",
+              "<polygon fill=\"none\" stroke=\"purple\" points=\"84,-124 34,-124 30,-120 30,-88 80,-88 84,-92 84,-124\"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"80,-120 30,-120 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"80,-120 80,-88 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"80,-120 84,-124 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"57\" y=\"-102.3\" font-family=\"Times,serif\" font-size=\"14.00\">Late</text>\n",
+              "</g>\n",
+              "<!-- 18&#45;&gt;Late7 -->\n",
+              "<!-- Night7 -->\n",
+              "<g id=\"node36\" class=\"node\">\n",
+              "<title>Night7</title>\n",
+              "<polygon fill=\"none\" stroke=\"purple\" points=\"183,-124 133,-124 129,-120 129,-88 179,-88 183,-92 183,-124\"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"179,-120 129,-120 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"179,-120 179,-88 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"179,-120 183,-124 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"156\" y=\"-102.3\" font-family=\"Times,serif\" font-size=\"14.00\">Night</text>\n",
+              "</g>\n",
+              "<!-- 20 -->\n",
+              "<g id=\"node37\" class=\"node\">\n",
+              "<title>20</title>\n",
+              "<polygon fill=\"none\" stroke=\"orange\" points=\"196.5,-52 119.5,-52 115.5,-48 115.5,-16 192.5,-16 196.5,-20 196.5,-52\"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"192.5,-48 115.5,-48 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"192.5,-48 192.5,-16 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"192.5,-48 196.5,-52 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"156\" y=\"-30.3\" font-family=\"Times,serif\" font-size=\"14.00\">Nurse ID: 4</text>\n",
+              "</g>\n",
+              "<!-- Night7&#45;&gt;20 -->\n",
+              "<g id=\"edge27\" class=\"edge\">\n",
+              "<title>Night7&#45;&gt;20</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M156,-87.7C156,-79.98 156,-70.71 156,-62.11\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"159.5,-62.1 156,-52.1 152.5,-62.1 159.5,-62.1\"/>\n",
+              "</g>\n",
+              "<!-- 21 -->\n",
+              "<g id=\"node39\" class=\"node\">\n",
+              "<title>21</title>\n",
+              "<polygon fill=\"none\" stroke=\"orange\" points=\"97.5,-52 20.5,-52 16.5,-48 16.5,-16 93.5,-16 97.5,-20 97.5,-52\"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"93.5,-48 16.5,-48 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"93.5,-48 93.5,-16 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"93.5,-48 97.5,-52 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"57\" y=\"-30.3\" font-family=\"Times,serif\" font-size=\"14.00\">Nurse ID: 5</text>\n",
+              "</g>\n",
+              "<!-- Late7&#45;&gt;21 -->\n",
+              "<g id=\"edge28\" class=\"edge\">\n",
+              "<title>Late7&#45;&gt;21</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M57,-87.7C57,-79.98 57,-70.71 57,-62.11\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"60.5,-62.1 57,-52.1 53.5,-62.1 60.5,-62.1\"/>\n",
+              "</g>\n",
+              "</g>\n",
+              "</svg>\n"
+            ],
             "text/plain": [
               "<graphviz.graphs.Digraph at 0x7f1004746680>"
             ]
           },
+          "execution_count": 24,
           "metadata": {},
-          "execution_count": 24
+          "output_type": "execute_result"
         }
       ],
       "source": [
@@ -883,15 +1234,15 @@
         "for day in range (1, nDays+1):\n",
         "    with p.subgraph(name='cluster'+str(day), node_attr={'shape': 'box3d', 'color': 'purple', 'style':'rounded'}) as c:\n",
         "      for item in roster:\n",
-        "        #if it is the selected day\n",
+        "        # if it is the selected day\n",
         "        if item[0][0] == day:\n",
-        "          #add the time of day if it doesn't exist already\n",
+        "          # add the time of day if it doesn't exist already\n",
         "          c.node(str(item[1])+str(day), item[1])\n",
-        "          #print(str(item[1])+str(day))\n",
-        "          #add the nurse\n",
+        "          # print(str(item[1])+str(day))\n",
+        "          # add the nurse\n",
         "          c.node(str(id), \"Nurse ID: \" + str(item[0][1]), color='orange')\n",
-        "          #print(str(id), \"nurse: \", str(item[0][1]))\n",
-        "          #add the edge\n",
+        "          # print(str(id), \"nurse: \", str(item[0][1]))\n",
+        "          # add the edge\n",
         "          edges.append([str(item[1])+str(day), str(id)])\n",
         "          id=id+1\n",
         "      c.attr(label=\"Day \"+str(day))\n",
@@ -912,36 +1263,608 @@
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "We can also display the roster as the timetable for each nurse:"
-      ],
       "metadata": {
         "id": "LMSsgljnrY8m"
-      }
+      },
+      "source": [
+        "We can also display the roster as the timetable for each nurse:"
+      ]
     },
     {
       "cell_type": "code",
       "execution_count": 10,
       "metadata": {
-        "id": "d-bgk-0-PITw",
         "colab": {
           "base_uri": "https://localhost:8080/",
           "height": 1000
         },
+        "id": "d-bgk-0-PITw",
         "outputId": "0ec19cd7-3ede-47c0-b8b9-ce5e5a29b537"
       },
       "outputs": [
         {
-          "output_type": "execute_result",
           "data": {
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y=\"-790\" font-family=\"Times,serif\" font-size=\"20.00\">Nurse 1</text>\n</g>\n<g id=\"clust2\" class=\"cluster\">\n<title>cluster2</title>\n<path fill=\"none\" stroke=\"black\" d=\"M20,-494C20,-494 354,-494 354,-494 360,-494 366,-500 366,-506 366,-506 366,-636 366,-636 366,-642 360,-648 354,-648 354,-648 20,-648 20,-648 14,-648 8,-642 8,-636 8,-636 8,-506 8,-506 8,-500 14,-494 20,-494\"/>\n<text text-anchor=\"middle\" x=\"187\" y=\"-628\" font-family=\"Times,serif\" font-size=\"20.00\">Nurse 2</text>\n</g>\n<g id=\"clust3\" class=\"cluster\">\n<title>cluster3</title>\n<path fill=\"none\" stroke=\"black\" d=\"M20,-332C20,-332 354,-332 354,-332 360,-332 366,-338 366,-344 366,-344 366,-474 366,-474 366,-480 360,-486 354,-486 354,-486 20,-486 20,-486 14,-486 8,-480 8,-474 8,-474 8,-344 8,-344 8,-338 14,-332 20,-332\"/>\n<text text-anchor=\"middle\" x=\"187\" y=\"-466\" font-family=\"Times,serif\" font-size=\"20.00\">Nurse 3</text>\n</g>\n<g id=\"clust4\" class=\"cluster\">\n<title>cluster4</title>\n<path fill=\"none\" stroke=\"black\" d=\"M20,-170C20,-170 426,-170 426,-170 432,-170 438,-176 438,-182 438,-182 438,-312 438,-312 438,-318 432,-324 426,-324 426,-324 20,-324 20,-324 14,-324 8,-318 8,-312 8,-312 8,-182 8,-182 8,-176 14,-170 20,-170\"/>\n<text text-anchor=\"middle\" x=\"223\" y=\"-304\" font-family=\"Times,serif\" font-size=\"20.00\">Nurse 4</text>\n</g>\n<g id=\"clust5\" class=\"cluster\">\n<title>cluster5</title>\n<path fill=\"none\" stroke=\"black\" d=\"M20,-8C20,-8 354,-8 354,-8 360,-8 366,-14 366,-20 366,-20 366,-150 366,-150 366,-156 360,-162 354,-162 354,-162 20,-162 20,-162 14,-162 8,-156 8,-150 8,-150 8,-20 8,-20 8,-14 14,-8 20,-8\"/>\n<text text-anchor=\"middle\" x=\"187\" y=\"-142\" font-family=\"Times,serif\" font-size=\"20.00\">Nurse 5</text>\n</g>\n<!-- 0 -->\n<g id=\"node1\" class=\"node\">\n<title>0</title>\n<polygon fill=\"none\" stroke=\"orange\" points=\"70,-772 20,-772 16,-768 16,-736 66,-736 70,-740 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stroke=\"black\" d=\"M43,-735.7C43,-727.98 43,-718.71 43,-710.11\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"46.5,-710.1 43,-700.1 39.5,-710.1 46.5,-710.1\"/>\n</g>\n<!-- 5 -->\n<g id=\"node11\" class=\"node\">\n<title>5</title>\n<polygon fill=\"none\" stroke=\"orange\" points=\"70,-610 20,-610 16,-606 16,-574 66,-574 70,-578 70,-610\"/>\n<polyline fill=\"none\" stroke=\"orange\" points=\"66,-606 16,-606 \"/>\n<polyline fill=\"none\" stroke=\"orange\" points=\"66,-606 66,-574 \"/>\n<polyline fill=\"none\" stroke=\"orange\" points=\"66,-606 70,-610 \"/>\n<text text-anchor=\"middle\" x=\"43\" y=\"-588.3\" font-family=\"Times,serif\" font-size=\"14.00\">Day 1</text>\n</g>\n<!-- 0Early1&#45;&gt;5 -->\n<!-- 1 -->\n<g id=\"node3\" class=\"node\">\n<title>1</title>\n<polygon fill=\"none\" stroke=\"orange\" points=\"358,-610 308,-610 304,-606 304,-574 354,-574 358,-578 358,-610\"/>\n<polyline fill=\"none\" stroke=\"orange\" points=\"354,-606 304,-606 \"/>\n<polyline fill=\"none\" stroke=\"orange\" points=\"354,-606 354,-574 \"/>\n<polyline fill=\"none\" stroke=\"orange\" points=\"354,-606 358,-610 \"/>\n<text text-anchor=\"middle\" x=\"331\" y=\"-588.3\" font-family=\"Times,serif\" font-size=\"14.00\">Day 6</text>\n</g>\n<!-- 1Early2 -->\n<g id=\"node4\" class=\"node\">\n<title>1Early2</title>\n<polygon fill=\"none\" stroke=\"purple\" points=\"358,-538 308,-538 304,-534 304,-502 354,-502 358,-506 358,-538\"/>\n<polyline fill=\"none\" stroke=\"purple\" points=\"354,-534 304,-534 \"/>\n<polyline fill=\"none\" stroke=\"purple\" points=\"354,-534 354,-502 \"/>\n<polyline fill=\"none\" stroke=\"purple\" points=\"354,-534 358,-538 \"/>\n<text text-anchor=\"middle\" x=\"331\" y=\"-516.3\" font-family=\"Times,serif\" font-size=\"14.00\">Early</text>\n</g>\n<!-- 1&#45;&gt;1Early2 -->\n<g id=\"edge6\" class=\"edge\">\n<title>1&#45;&gt;1Early2</title>\n<path fill=\"none\" stroke=\"black\" d=\"M331,-573.7C331,-565.98 331,-556.71 331,-548.11\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"334.5,-548.1 331,-538.1 327.5,-548.1 334.5,-548.1\"/>\n</g>\n<!-- 2 -->\n<g id=\"node5\" class=\"node\">\n<title>2</title>\n<polygon fill=\"none\" stroke=\"orange\" points=\"286,-610 236,-610 232,-606 232,-574 282,-574 286,-578 286,-610\"/>\n<polyline fill=\"none\" stroke=\"orange\" points=\"282,-606 232,-606 \"/>\n<polyline fill=\"none\" stroke=\"orange\" points=\"282,-606 282,-574 \"/>\n<polyline fill=\"none\" stroke=\"orange\" points=\"282,-606 286,-610 \"/>\n<text text-anchor=\"middle\" x=\"259\" y=\"-588.3\" font-family=\"Times,serif\" font-size=\"14.00\">Day 5</text>\n</g>\n<!-- 2Early2 -->\n<g id=\"node6\" class=\"node\">\n<title>2Early2</title>\n<polygon fill=\"none\" stroke=\"purple\" points=\"286,-538 236,-538 232,-534 232,-502 282,-502 286,-506 286,-538\"/>\n<polyline fill=\"none\" stroke=\"purple\" points=\"282,-534 232,-534 \"/>\n<polyline fill=\"none\" stroke=\"purple\" points=\"282,-534 282,-502 \"/>\n<polyline fill=\"none\" stroke=\"purple\" points=\"282,-534 286,-538 \"/>\n<text text-anchor=\"middle\" x=\"259\" y=\"-516.3\" font-family=\"Times,serif\" font-size=\"14.00\">Early</text>\n</g>\n<!-- 2&#45;&gt;2Early2 -->\n<g id=\"edge7\" class=\"edge\">\n<title>2&#45;&gt;2Early2</title>\n<path fill=\"none\" stroke=\"black\" d=\"M259,-573.7C259,-565.98 259,-556.71 259,-548.11\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"262.5,-548.1 259,-538.1 255.5,-548.1 262.5,-548.1\"/>\n</g>\n<!-- 3 -->\n<g id=\"node7\" class=\"node\">\n<title>3</title>\n<polygon fill=\"none\" stroke=\"orange\" points=\"214,-610 164,-610 160,-606 160,-574 210,-574 214,-578 214,-610\"/>\n<polyline fill=\"none\" stroke=\"orange\" points=\"210,-606 160,-606 \"/>\n<polyline fill=\"none\" stroke=\"orange\" points=\"210,-606 210,-574 \"/>\n<polyline fill=\"none\" stroke=\"orange\" points=\"210,-606 214,-610 \"/>\n<text text-anchor=\"middle\" x=\"187\" y=\"-588.3\" font-family=\"Times,serif\" font-size=\"14.00\">Day 3</text>\n</g>\n<!-- 3Early2 -->\n<g 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142,-610\"/>\n<polyline fill=\"none\" stroke=\"orange\" points=\"138,-606 88,-606 \"/>\n<polyline fill=\"none\" stroke=\"orange\" points=\"138,-606 138,-574 \"/>\n<polyline fill=\"none\" stroke=\"orange\" points=\"138,-606 142,-610 \"/>\n<text text-anchor=\"middle\" x=\"115\" y=\"-588.3\" font-family=\"Times,serif\" font-size=\"14.00\">Day 2</text>\n</g>\n<!-- 4Early2 -->\n<g id=\"node10\" class=\"node\">\n<title>4Early2</title>\n<polygon fill=\"none\" stroke=\"purple\" points=\"142,-538 92,-538 88,-534 88,-502 138,-502 142,-506 142,-538\"/>\n<polyline fill=\"none\" stroke=\"purple\" points=\"138,-534 88,-534 \"/>\n<polyline fill=\"none\" stroke=\"purple\" points=\"138,-534 138,-502 \"/>\n<polyline fill=\"none\" stroke=\"purple\" points=\"138,-534 142,-538 \"/>\n<text text-anchor=\"middle\" x=\"115\" y=\"-516.3\" font-family=\"Times,serif\" font-size=\"14.00\">Early</text>\n</g>\n<!-- 4&#45;&gt;4Early2 -->\n<g id=\"edge9\" class=\"edge\">\n<title>4&#45;&gt;4Early2</title>\n<path fill=\"none\" stroke=\"black\" d=\"M115,-573.7C115,-565.98 115,-556.71 115,-548.11\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"118.5,-548.1 115,-538.1 111.5,-548.1 118.5,-548.1\"/>\n</g>\n<!-- 5Early2 -->\n<g id=\"node12\" class=\"node\">\n<title>5Early2</title>\n<polygon fill=\"none\" stroke=\"purple\" points=\"70,-538 20,-538 16,-534 16,-502 66,-502 70,-506 70,-538\"/>\n<polyline fill=\"none\" stroke=\"purple\" points=\"66,-534 16,-534 \"/>\n<polyline fill=\"none\" stroke=\"purple\" points=\"66,-534 66,-502 \"/>\n<polyline fill=\"none\" stroke=\"purple\" points=\"66,-534 70,-538 \"/>\n<text text-anchor=\"middle\" x=\"43\" y=\"-516.3\" font-family=\"Times,serif\" font-size=\"14.00\">Early</text>\n</g>\n<!-- 5&#45;&gt;5Early2 -->\n<g id=\"edge10\" class=\"edge\">\n<title>5&#45;&gt;5Early2</title>\n<path fill=\"none\" stroke=\"black\" d=\"M43,-573.7C43,-565.98 43,-556.71 43,-548.11\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"46.5,-548.1 43,-538.1 39.5,-548.1 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text-anchor=\"middle\" x=\"331\" y=\"-426.3\" font-family=\"Times,serif\" font-size=\"14.00\">Day 6</text>\n</g>\n<!-- 6Late3 -->\n<g id=\"node14\" class=\"node\">\n<title>6Late3</title>\n<polygon fill=\"none\" stroke=\"purple\" points=\"358,-376 308,-376 304,-372 304,-340 354,-340 358,-344 358,-376\"/>\n<polyline fill=\"none\" stroke=\"purple\" points=\"354,-372 304,-372 \"/>\n<polyline fill=\"none\" stroke=\"purple\" points=\"354,-372 354,-340 \"/>\n<polyline fill=\"none\" stroke=\"purple\" points=\"354,-372 358,-376 \"/>\n<text text-anchor=\"middle\" x=\"331\" y=\"-354.3\" font-family=\"Times,serif\" font-size=\"14.00\">Late</text>\n</g>\n<!-- 6&#45;&gt;6Late3 -->\n<g id=\"edge11\" class=\"edge\">\n<title>6&#45;&gt;6Late3</title>\n<path fill=\"none\" stroke=\"black\" d=\"M331,-411.7C331,-403.98 331,-394.71 331,-386.11\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"334.5,-386.1 331,-376.1 327.5,-386.1 334.5,-386.1\"/>\n</g>\n<!-- 7 -->\n<g id=\"node15\" class=\"node\">\n<title>7</title>\n<polygon fill=\"none\" stroke=\"orange\" points=\"286,-448 236,-448 232,-444 232,-412 282,-412 286,-416 286,-448\"/>\n<polyline fill=\"none\" stroke=\"orange\" points=\"282,-444 232,-444 \"/>\n<polyline fill=\"none\" stroke=\"orange\" points=\"282,-444 282,-412 \"/>\n<polyline fill=\"none\" stroke=\"orange\" points=\"282,-444 286,-448 \"/>\n<text text-anchor=\"middle\" x=\"259\" y=\"-426.3\" font-family=\"Times,serif\" font-size=\"14.00\">Day 5</text>\n</g>\n<!-- 7Late3 -->\n<g id=\"node16\" class=\"node\">\n<title>7Late3</title>\n<polygon fill=\"none\" stroke=\"purple\" points=\"286,-376 236,-376 232,-372 232,-340 282,-340 286,-344 286,-376\"/>\n<polyline fill=\"none\" stroke=\"purple\" points=\"282,-372 232,-372 \"/>\n<polyline fill=\"none\" stroke=\"purple\" points=\"282,-372 282,-340 \"/>\n<polyline fill=\"none\" stroke=\"purple\" points=\"282,-372 286,-376 \"/>\n<text text-anchor=\"middle\" x=\"259\" y=\"-354.3\" font-family=\"Times,serif\" 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points=\"138,-444 138,-412 \"/>\n<polyline fill=\"none\" stroke=\"orange\" points=\"138,-444 142,-448 \"/>\n<text text-anchor=\"middle\" x=\"115\" y=\"-426.3\" font-family=\"Times,serif\" font-size=\"14.00\">Day 2</text>\n</g>\n<!-- 9Late3 -->\n<g id=\"node20\" class=\"node\">\n<title>9Late3</title>\n<polygon fill=\"none\" stroke=\"purple\" points=\"142,-376 92,-376 88,-372 88,-340 138,-340 142,-344 142,-376\"/>\n<polyline fill=\"none\" stroke=\"purple\" points=\"138,-372 88,-372 \"/>\n<polyline fill=\"none\" stroke=\"purple\" points=\"138,-372 138,-340 \"/>\n<polyline fill=\"none\" stroke=\"purple\" points=\"138,-372 142,-376 \"/>\n<text text-anchor=\"middle\" x=\"115\" y=\"-354.3\" font-family=\"Times,serif\" font-size=\"14.00\">Late</text>\n</g>\n<!-- 9&#45;&gt;9Late3 -->\n<g id=\"edge14\" class=\"edge\">\n<title>9&#45;&gt;9Late3</title>\n<path fill=\"none\" stroke=\"black\" d=\"M115,-411.7C115,-403.98 115,-394.71 115,-386.11\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"118.5,-386.1 115,-376.1 111.5,-386.1 118.5,-386.1\"/>\n</g>\n<!-- 10Early3 -->\n<g id=\"node22\" class=\"node\">\n<title>10Early3</title>\n<polygon fill=\"none\" stroke=\"purple\" points=\"70,-376 20,-376 16,-372 16,-340 66,-340 70,-344 70,-376\"/>\n<polyline fill=\"none\" stroke=\"purple\" points=\"66,-372 16,-372 \"/>\n<polyline fill=\"none\" stroke=\"purple\" points=\"66,-372 66,-340 \"/>\n<polyline fill=\"none\" stroke=\"purple\" points=\"66,-372 70,-376 \"/>\n<text text-anchor=\"middle\" x=\"43\" y=\"-354.3\" font-family=\"Times,serif\" font-size=\"14.00\">Early</text>\n</g>\n<!-- 10&#45;&gt;10Early3 -->\n<g id=\"edge15\" class=\"edge\">\n<title>10&#45;&gt;10Early3</title>\n<path fill=\"none\" stroke=\"black\" d=\"M43,-411.7C43,-403.98 43,-394.71 43,-386.11\"/>\n<polygon fill=\"black\" stroke=\"black\" points=\"46.5,-386.1 43,-376.1 39.5,-386.1 46.5,-386.1\"/>\n</g>\n<!-- 16 -->\n<g id=\"node33\" class=\"node\">\n<title>16</title>\n<polygon fill=\"none\" stroke=\"orange\" 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+              "<polyline fill=\"none\" stroke=\"orange\" points=\"354,-444 358,-448 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"331\" y=\"-426.3\" font-family=\"Times,serif\" font-size=\"14.00\">Day 6</text>\n",
+              "</g>\n",
+              "<!-- 6Late3 -->\n",
+              "<g id=\"node14\" class=\"node\">\n",
+              "<title>6Late3</title>\n",
+              "<polygon fill=\"none\" stroke=\"purple\" points=\"358,-376 308,-376 304,-372 304,-340 354,-340 358,-344 358,-376\"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"354,-372 304,-372 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"354,-372 354,-340 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"354,-372 358,-376 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"331\" y=\"-354.3\" font-family=\"Times,serif\" font-size=\"14.00\">Late</text>\n",
+              "</g>\n",
+              "<!-- 6&#45;&gt;6Late3 -->\n",
+              "<g id=\"edge11\" class=\"edge\">\n",
+              "<title>6&#45;&gt;6Late3</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M331,-411.7C331,-403.98 331,-394.71 331,-386.11\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"334.5,-386.1 331,-376.1 327.5,-386.1 334.5,-386.1\"/>\n",
+              "</g>\n",
+              "<!-- 7 -->\n",
+              "<g id=\"node15\" class=\"node\">\n",
+              "<title>7</title>\n",
+              "<polygon fill=\"none\" stroke=\"orange\" points=\"286,-448 236,-448 232,-444 232,-412 282,-412 286,-416 286,-448\"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"282,-444 232,-444 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"282,-444 282,-412 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"282,-444 286,-448 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"259\" y=\"-426.3\" font-family=\"Times,serif\" font-size=\"14.00\">Day 5</text>\n",
+              "</g>\n",
+              "<!-- 7Late3 -->\n",
+              "<g id=\"node16\" class=\"node\">\n",
+              "<title>7Late3</title>\n",
+              "<polygon fill=\"none\" stroke=\"purple\" points=\"286,-376 236,-376 232,-372 232,-340 282,-340 286,-344 286,-376\"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"282,-372 232,-372 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"282,-372 282,-340 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"282,-372 286,-376 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"259\" y=\"-354.3\" font-family=\"Times,serif\" font-size=\"14.00\">Late</text>\n",
+              "</g>\n",
+              "<!-- 7&#45;&gt;7Late3 -->\n",
+              "<g id=\"edge12\" class=\"edge\">\n",
+              "<title>7&#45;&gt;7Late3</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M259,-411.7C259,-403.98 259,-394.71 259,-386.11\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"262.5,-386.1 259,-376.1 255.5,-386.1 262.5,-386.1\"/>\n",
+              "</g>\n",
+              "<!-- 8 -->\n",
+              "<g id=\"node17\" class=\"node\">\n",
+              "<title>8</title>\n",
+              "<polygon fill=\"none\" stroke=\"orange\" points=\"214,-448 164,-448 160,-444 160,-412 210,-412 214,-416 214,-448\"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"210,-444 160,-444 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"210,-444 210,-412 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"210,-444 214,-448 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"187\" y=\"-426.3\" font-family=\"Times,serif\" font-size=\"14.00\">Day 3</text>\n",
+              "</g>\n",
+              "<!-- 8Late3 -->\n",
+              "<g id=\"node18\" class=\"node\">\n",
+              "<title>8Late3</title>\n",
+              "<polygon fill=\"none\" stroke=\"purple\" points=\"214,-376 164,-376 160,-372 160,-340 210,-340 214,-344 214,-376\"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"210,-372 160,-372 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"210,-372 210,-340 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"210,-372 214,-376 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"187\" y=\"-354.3\" font-family=\"Times,serif\" font-size=\"14.00\">Late</text>\n",
+              "</g>\n",
+              "<!-- 8&#45;&gt;8Late3 -->\n",
+              "<g id=\"edge13\" class=\"edge\">\n",
+              "<title>8&#45;&gt;8Late3</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M187,-411.7C187,-403.98 187,-394.71 187,-386.11\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"190.5,-386.1 187,-376.1 183.5,-386.1 190.5,-386.1\"/>\n",
+              "</g>\n",
+              "<!-- 9 -->\n",
+              "<g id=\"node19\" class=\"node\">\n",
+              "<title>9</title>\n",
+              "<polygon fill=\"none\" stroke=\"orange\" points=\"142,-448 92,-448 88,-444 88,-412 138,-412 142,-416 142,-448\"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"138,-444 88,-444 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"138,-444 138,-412 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"138,-444 142,-448 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"115\" y=\"-426.3\" font-family=\"Times,serif\" font-size=\"14.00\">Day 2</text>\n",
+              "</g>\n",
+              "<!-- 9Late3 -->\n",
+              "<g id=\"node20\" class=\"node\">\n",
+              "<title>9Late3</title>\n",
+              "<polygon fill=\"none\" stroke=\"purple\" points=\"142,-376 92,-376 88,-372 88,-340 138,-340 142,-344 142,-376\"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"138,-372 88,-372 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"138,-372 138,-340 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"138,-372 142,-376 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"115\" y=\"-354.3\" font-family=\"Times,serif\" font-size=\"14.00\">Late</text>\n",
+              "</g>\n",
+              "<!-- 9&#45;&gt;9Late3 -->\n",
+              "<g id=\"edge14\" class=\"edge\">\n",
+              "<title>9&#45;&gt;9Late3</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M115,-411.7C115,-403.98 115,-394.71 115,-386.11\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"118.5,-386.1 115,-376.1 111.5,-386.1 118.5,-386.1\"/>\n",
+              "</g>\n",
+              "<!-- 10Early3 -->\n",
+              "<g id=\"node22\" class=\"node\">\n",
+              "<title>10Early3</title>\n",
+              "<polygon fill=\"none\" stroke=\"purple\" points=\"70,-376 20,-376 16,-372 16,-340 66,-340 70,-344 70,-376\"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"66,-372 16,-372 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"66,-372 66,-340 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"66,-372 70,-376 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"43\" y=\"-354.3\" font-family=\"Times,serif\" font-size=\"14.00\">Early</text>\n",
+              "</g>\n",
+              "<!-- 10&#45;&gt;10Early3 -->\n",
+              "<g id=\"edge15\" class=\"edge\">\n",
+              "<title>10&#45;&gt;10Early3</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M43,-411.7C43,-403.98 43,-394.71 43,-386.11\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"46.5,-386.1 43,-376.1 39.5,-386.1 46.5,-386.1\"/>\n",
+              "</g>\n",
+              "<!-- 16 -->\n",
+              "<g id=\"node33\" class=\"node\">\n",
+              "<title>16</title>\n",
+              "<polygon fill=\"none\" stroke=\"orange\" points=\"70,-286 20,-286 16,-282 16,-250 66,-250 70,-254 70,-286\"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"66,-282 16,-282 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"66,-282 66,-250 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"66,-282 70,-286 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"43\" y=\"-264.3\" font-family=\"Times,serif\" font-size=\"14.00\">Day 1</text>\n",
+              "</g>\n",
+              "<!-- 10Early3&#45;&gt;16 -->\n",
+              "<!-- 11 -->\n",
+              "<g id=\"node23\" class=\"node\">\n",
+              "<title>11</title>\n",
+              "<polygon fill=\"none\" stroke=\"orange\" points=\"430,-286 380,-286 376,-282 376,-250 426,-250 430,-254 430,-286\"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"426,-282 376,-282 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"426,-282 426,-250 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"426,-282 430,-286 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"403\" y=\"-264.3\" font-family=\"Times,serif\" font-size=\"14.00\">Day 7</text>\n",
+              "</g>\n",
+              "<!-- 11Night4 -->\n",
+              "<g id=\"node24\" class=\"node\">\n",
+              "<title>11Night4</title>\n",
+              "<polygon fill=\"none\" stroke=\"purple\" points=\"430,-214 380,-214 376,-210 376,-178 426,-178 430,-182 430,-214\"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"426,-210 376,-210 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"426,-210 426,-178 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"426,-210 430,-214 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"403\" y=\"-192.3\" font-family=\"Times,serif\" font-size=\"14.00\">Night</text>\n",
+              "</g>\n",
+              "<!-- 11&#45;&gt;11Night4 -->\n",
+              "<g id=\"edge16\" class=\"edge\">\n",
+              "<title>11&#45;&gt;11Night4</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M403,-249.7C403,-241.98 403,-232.71 403,-224.11\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"406.5,-224.1 403,-214.1 399.5,-224.1 406.5,-224.1\"/>\n",
+              "</g>\n",
+              "<!-- 12 -->\n",
+              "<g id=\"node25\" class=\"node\">\n",
+              "<title>12</title>\n",
+              "<polygon fill=\"none\" stroke=\"orange\" points=\"358,-286 308,-286 304,-282 304,-250 354,-250 358,-254 358,-286\"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"354,-282 304,-282 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"354,-282 354,-250 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"354,-282 358,-286 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"331\" y=\"-264.3\" font-family=\"Times,serif\" font-size=\"14.00\">Day 6</text>\n",
+              "</g>\n",
+              "<!-- 12Night4 -->\n",
+              "<g id=\"node26\" class=\"node\">\n",
+              "<title>12Night4</title>\n",
+              "<polygon fill=\"none\" stroke=\"purple\" points=\"358,-214 308,-214 304,-210 304,-178 354,-178 358,-182 358,-214\"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"354,-210 304,-210 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"354,-210 354,-178 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"354,-210 358,-214 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"331\" y=\"-192.3\" font-family=\"Times,serif\" font-size=\"14.00\">Night</text>\n",
+              "</g>\n",
+              "<!-- 12&#45;&gt;12Night4 -->\n",
+              "<g id=\"edge17\" class=\"edge\">\n",
+              "<title>12&#45;&gt;12Night4</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M331,-249.7C331,-241.98 331,-232.71 331,-224.11\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"334.5,-224.1 331,-214.1 327.5,-224.1 334.5,-224.1\"/>\n",
+              "</g>\n",
+              "<!-- 13 -->\n",
+              "<g id=\"node27\" class=\"node\">\n",
+              "<title>13</title>\n",
+              "<polygon fill=\"none\" stroke=\"orange\" points=\"286,-286 236,-286 232,-282 232,-250 282,-250 286,-254 286,-286\"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"282,-282 232,-282 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"282,-282 282,-250 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"282,-282 286,-286 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"259\" y=\"-264.3\" font-family=\"Times,serif\" font-size=\"14.00\">Day 5</text>\n",
+              "</g>\n",
+              "<!-- 13Night4 -->\n",
+              "<g id=\"node28\" class=\"node\">\n",
+              "<title>13Night4</title>\n",
+              "<polygon fill=\"none\" stroke=\"purple\" points=\"286,-214 236,-214 232,-210 232,-178 282,-178 286,-182 286,-214\"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"282,-210 232,-210 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"282,-210 282,-178 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"282,-210 286,-214 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"259\" y=\"-192.3\" font-family=\"Times,serif\" font-size=\"14.00\">Night</text>\n",
+              "</g>\n",
+              "<!-- 13&#45;&gt;13Night4 -->\n",
+              "<g id=\"edge18\" class=\"edge\">\n",
+              "<title>13&#45;&gt;13Night4</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M259,-249.7C259,-241.98 259,-232.71 259,-224.11\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"262.5,-224.1 259,-214.1 255.5,-224.1 262.5,-224.1\"/>\n",
+              "</g>\n",
+              "<!-- 14 -->\n",
+              "<g id=\"node29\" class=\"node\">\n",
+              "<title>14</title>\n",
+              "<polygon fill=\"none\" stroke=\"orange\" points=\"214,-286 164,-286 160,-282 160,-250 210,-250 214,-254 214,-286\"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"210,-282 160,-282 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"210,-282 210,-250 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"210,-282 214,-286 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"187\" y=\"-264.3\" font-family=\"Times,serif\" font-size=\"14.00\">Day 3</text>\n",
+              "</g>\n",
+              "<!-- 14Night4 -->\n",
+              "<g id=\"node30\" class=\"node\">\n",
+              "<title>14Night4</title>\n",
+              "<polygon fill=\"none\" stroke=\"purple\" points=\"214,-214 164,-214 160,-210 160,-178 210,-178 214,-182 214,-214\"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"210,-210 160,-210 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"210,-210 210,-178 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"210,-210 214,-214 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"187\" y=\"-192.3\" font-family=\"Times,serif\" font-size=\"14.00\">Night</text>\n",
+              "</g>\n",
+              "<!-- 14&#45;&gt;14Night4 -->\n",
+              "<g id=\"edge19\" class=\"edge\">\n",
+              "<title>14&#45;&gt;14Night4</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M187,-249.7C187,-241.98 187,-232.71 187,-224.11\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"190.5,-224.1 187,-214.1 183.5,-224.1 190.5,-224.1\"/>\n",
+              "</g>\n",
+              "<!-- 15 -->\n",
+              "<g id=\"node31\" class=\"node\">\n",
+              "<title>15</title>\n",
+              "<polygon fill=\"none\" stroke=\"orange\" points=\"142,-286 92,-286 88,-282 88,-250 138,-250 142,-254 142,-286\"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"138,-282 88,-282 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"138,-282 138,-250 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"138,-282 142,-286 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"115\" y=\"-264.3\" font-family=\"Times,serif\" font-size=\"14.00\">Day 2</text>\n",
+              "</g>\n",
+              "<!-- 15Night4 -->\n",
+              "<g id=\"node32\" class=\"node\">\n",
+              "<title>15Night4</title>\n",
+              "<polygon fill=\"none\" stroke=\"purple\" points=\"142,-214 92,-214 88,-210 88,-178 138,-178 142,-182 142,-214\"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"138,-210 88,-210 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"138,-210 138,-178 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"138,-210 142,-214 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"115\" y=\"-192.3\" font-family=\"Times,serif\" font-size=\"14.00\">Night</text>\n",
+              "</g>\n",
+              "<!-- 15&#45;&gt;15Night4 -->\n",
+              "<g id=\"edge20\" class=\"edge\">\n",
+              "<title>15&#45;&gt;15Night4</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M115,-249.7C115,-241.98 115,-232.71 115,-224.11\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"118.5,-224.1 115,-214.1 111.5,-224.1 118.5,-224.1\"/>\n",
+              "</g>\n",
+              "<!-- 16Late4 -->\n",
+              "<g id=\"node34\" class=\"node\">\n",
+              "<title>16Late4</title>\n",
+              "<polygon fill=\"none\" stroke=\"purple\" points=\"70,-214 20,-214 16,-210 16,-178 66,-178 70,-182 70,-214\"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"66,-210 16,-210 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"66,-210 66,-178 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"66,-210 70,-214 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"43\" y=\"-192.3\" font-family=\"Times,serif\" font-size=\"14.00\">Late</text>\n",
+              "</g>\n",
+              "<!-- 16&#45;&gt;16Late4 -->\n",
+              "<g id=\"edge21\" class=\"edge\">\n",
+              "<title>16&#45;&gt;16Late4</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M43,-249.7C43,-241.98 43,-232.71 43,-224.11\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"46.5,-224.1 43,-214.1 39.5,-224.1 46.5,-224.1\"/>\n",
+              "</g>\n",
+              "<!-- 21 -->\n",
+              "<g id=\"node43\" class=\"node\">\n",
+              "<title>21</title>\n",
+              "<polygon fill=\"none\" stroke=\"orange\" points=\"70,-124 20,-124 16,-120 16,-88 66,-88 70,-92 70,-124\"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"66,-120 16,-120 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"66,-120 66,-88 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"66,-120 70,-124 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"43\" y=\"-102.3\" font-family=\"Times,serif\" font-size=\"14.00\">Day 1</text>\n",
+              "</g>\n",
+              "<!-- 16Late4&#45;&gt;21 -->\n",
+              "<!-- 17 -->\n",
+              "<g id=\"node35\" class=\"node\">\n",
+              "<title>17</title>\n",
+              "<polygon fill=\"none\" stroke=\"orange\" points=\"358,-124 308,-124 304,-120 304,-88 354,-88 358,-92 358,-124\"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"354,-120 304,-120 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"354,-120 354,-88 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"354,-120 358,-124 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"331\" y=\"-102.3\" font-family=\"Times,serif\" font-size=\"14.00\">Day 7</text>\n",
+              "</g>\n",
+              "<!-- 17Late5 -->\n",
+              "<g id=\"node36\" class=\"node\">\n",
+              "<title>17Late5</title>\n",
+              "<polygon fill=\"none\" stroke=\"purple\" points=\"358,-52 308,-52 304,-48 304,-16 354,-16 358,-20 358,-52\"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"354,-48 304,-48 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"354,-48 354,-16 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"354,-48 358,-52 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"331\" y=\"-30.3\" font-family=\"Times,serif\" font-size=\"14.00\">Late</text>\n",
+              "</g>\n",
+              "<!-- 17&#45;&gt;17Late5 -->\n",
+              "<g id=\"edge22\" class=\"edge\">\n",
+              "<title>17&#45;&gt;17Late5</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M331,-87.7C331,-79.98 331,-70.71 331,-62.11\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"334.5,-62.1 331,-52.1 327.5,-62.1 334.5,-62.1\"/>\n",
+              "</g>\n",
+              "<!-- 18 -->\n",
+              "<g id=\"node37\" class=\"node\">\n",
+              "<title>18</title>\n",
+              "<polygon fill=\"none\" stroke=\"orange\" points=\"286,-124 236,-124 232,-120 232,-88 282,-88 286,-92 286,-124\"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"282,-120 232,-120 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"282,-120 282,-88 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"282,-120 286,-124 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"259\" y=\"-102.3\" font-family=\"Times,serif\" font-size=\"14.00\">Day 5</text>\n",
+              "</g>\n",
+              "<!-- 18Night5 -->\n",
+              "<g id=\"node38\" class=\"node\">\n",
+              "<title>18Night5</title>\n",
+              "<polygon fill=\"none\" stroke=\"purple\" points=\"286,-52 236,-52 232,-48 232,-16 282,-16 286,-20 286,-52\"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"282,-48 232,-48 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"282,-48 282,-16 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"282,-48 286,-52 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"259\" y=\"-30.3\" font-family=\"Times,serif\" font-size=\"14.00\">Night</text>\n",
+              "</g>\n",
+              "<!-- 18&#45;&gt;18Night5 -->\n",
+              "<g id=\"edge23\" class=\"edge\">\n",
+              "<title>18&#45;&gt;18Night5</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M259,-87.7C259,-79.98 259,-70.71 259,-62.11\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"262.5,-62.1 259,-52.1 255.5,-62.1 262.5,-62.1\"/>\n",
+              "</g>\n",
+              "<!-- 19 -->\n",
+              "<g id=\"node39\" class=\"node\">\n",
+              "<title>19</title>\n",
+              "<polygon fill=\"none\" stroke=\"orange\" points=\"214,-124 164,-124 160,-120 160,-88 210,-88 214,-92 214,-124\"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"210,-120 160,-120 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"210,-120 210,-88 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"210,-120 214,-124 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"187\" y=\"-102.3\" font-family=\"Times,serif\" font-size=\"14.00\">Day 4</text>\n",
+              "</g>\n",
+              "<!-- 19Night5 -->\n",
+              "<g id=\"node40\" class=\"node\">\n",
+              "<title>19Night5</title>\n",
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+              "<polyline fill=\"none\" stroke=\"purple\" points=\"210,-48 210,-16 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"210,-48 214,-52 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"187\" y=\"-30.3\" font-family=\"Times,serif\" font-size=\"14.00\">Night</text>\n",
+              "</g>\n",
+              "<!-- 19&#45;&gt;19Night5 -->\n",
+              "<g id=\"edge24\" class=\"edge\">\n",
+              "<title>19&#45;&gt;19Night5</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M187,-87.7C187,-79.98 187,-70.71 187,-62.11\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"190.5,-62.1 187,-52.1 183.5,-62.1 190.5,-62.1\"/>\n",
+              "</g>\n",
+              "<!-- 20 -->\n",
+              "<g id=\"node41\" class=\"node\">\n",
+              "<title>20</title>\n",
+              "<polygon fill=\"none\" stroke=\"orange\" points=\"142,-124 92,-124 88,-120 88,-88 138,-88 142,-92 142,-124\"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"138,-120 88,-120 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"138,-120 138,-88 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"orange\" points=\"138,-120 142,-124 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"115\" y=\"-102.3\" font-family=\"Times,serif\" font-size=\"14.00\">Day 2</text>\n",
+              "</g>\n",
+              "<!-- 20Night5 -->\n",
+              "<g id=\"node42\" class=\"node\">\n",
+              "<title>20Night5</title>\n",
+              "<polygon fill=\"none\" stroke=\"purple\" points=\"142,-52 92,-52 88,-48 88,-16 138,-16 142,-20 142,-52\"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"138,-48 88,-48 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"138,-48 138,-16 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"138,-48 142,-52 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"115\" y=\"-30.3\" font-family=\"Times,serif\" font-size=\"14.00\">Night</text>\n",
+              "</g>\n",
+              "<!-- 20&#45;&gt;20Night5 -->\n",
+              "<g id=\"edge25\" class=\"edge\">\n",
+              "<title>20&#45;&gt;20Night5</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M115,-87.7C115,-79.98 115,-70.71 115,-62.11\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"118.5,-62.1 115,-52.1 111.5,-62.1 118.5,-62.1\"/>\n",
+              "</g>\n",
+              "<!-- 21Late5 -->\n",
+              "<g id=\"node44\" class=\"node\">\n",
+              "<title>21Late5</title>\n",
+              "<polygon fill=\"none\" stroke=\"purple\" points=\"70,-52 20,-52 16,-48 16,-16 66,-16 70,-20 70,-52\"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"66,-48 16,-48 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"66,-48 66,-16 \"/>\n",
+              "<polyline fill=\"none\" stroke=\"purple\" points=\"66,-48 70,-52 \"/>\n",
+              "<text text-anchor=\"middle\" x=\"43\" y=\"-30.3\" font-family=\"Times,serif\" font-size=\"14.00\">Late</text>\n",
+              "</g>\n",
+              "<!-- 21&#45;&gt;21Late5 -->\n",
+              "<g id=\"edge26\" class=\"edge\">\n",
+              "<title>21&#45;&gt;21Late5</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M43,-87.7C43,-79.98 43,-70.71 43,-62.11\"/>\n",
+              "<polygon fill=\"black\" stroke=\"black\" points=\"46.5,-62.1 43,-52.1 39.5,-62.1 46.5,-62.1\"/>\n",
+              "</g>\n",
+              "</g>\n",
+              "</svg>\n"
+            ],
             "text/plain": [
               "<graphviz.graphs.Digraph at 0x7f10043aa410>"
             ]
           },
+          "execution_count": 10,
           "metadata": {},
-          "execution_count": 10
+          "output_type": "execute_result"
         }
       ],
       "source": [
@@ -960,16 +1883,16 @@
         "    with p.subgraph(name='cluster'+str(nurse), node_attr={'shape': 'box3d', 'color': 'purple', 'style':'rounded'}) as c:\n",
         "      \n",
         "      for item in roster:\n",
-        "        #if it is the selected nurse\n",
+        "        # if it is the selected nurse\n",
         "        if item[0][1] == nurse:\n",
         "          \n",
-        "          #add the day\n",
+        "          # add the day\n",
         "          c.node(str(id), \"Day \" + str(item[0][0]), color='orange')\n",
         "\n",
-        "          #add the time of day\n",
+        "          # add the time of day\n",
         "          c.node((str(id) + str(item[1]))+str(nurse), item[1])\n",
         "          \n",
-        "          #add the edge\n",
+        "          # add the edge\n",
         "          edges.append([str(id), (str(id) + str(item[1]))+str(nurse)])\n",
         "          id=id+1\n",
         "      c.attr(label=\"Nurse \"+str(nurse))\n",
@@ -995,9 +1918,9 @@
       "collapsed_sections": [
         "qsGFV5Dv_OOQ"
       ],
+      "include_colab_link": true,
       "provenance": [],
-      "toc_visible": true,
-      "include_colab_link": true
+      "toc_visible": true
     },
     "kernelspec": {
       "display_name": "Python 3",
diff --git a/docs/tutorials/notebooks/Semigroups,_Monoids_and_Groups.ipynb b/docs/tutorials/notebooks/Semigroups,_Monoids_and_Groups.ipynb
index 6b383c8bf..dcddcd765 100644
--- a/docs/tutorials/notebooks/Semigroups,_Monoids_and_Groups.ipynb
+++ b/docs/tutorials/notebooks/Semigroups,_Monoids_and_Groups.ipynb
@@ -1,64 +1,49 @@
 {
-  "nbformat": 4,
-  "nbformat_minor": 0,
-  "metadata": {
-    "colab": {
-      "provenance": [],
-      "authorship_tag": "ABX9TyNmwuGfH/vOYeP0Tj5vUcu/",
-      "include_colab_link": true
-    },
-    "kernelspec": {
-      "name": "python3",
-      "display_name": "Python 3"
-    },
-    "language_info": {
-      "name": "python"
-    }
-  },
   "cells": [
     {
+      "attachments": {},
       "cell_type": "markdown",
       "metadata": {
-        "id": "view-in-github",
-        "colab_type": "text"
+        "colab_type": "text",
+        "id": "view-in-github"
       },
       "source": [
         "<a href=\"https://colab.research.google.com/github/sasha704/conjure/blob/semigroups/docs/tutorials/notebooks/Semigroups%2C_Monoids_and_Groups.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "# Semigroups, Monoids and Groups"
-      ],
       "metadata": {
         "id": "tlwA1gWxaq7u"
-      }
+      },
+      "source": [
+        "# Semigroups, Monoids and Groups"
+      ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "Original [Semigroups, Monoids and Groups](https://conjure.readthedocs.io/en/latest/tutorials.html#semigroups-monoids-and-groups) by Chris Jefferson and Alice Lynch. Adapted by Alex Gallagher."
-      ],
       "metadata": {
         "id": "3kKmC_37a2uo"
-      }
+      },
+      "source": [
+        "Original [Semigroups, Monoids and Groups](https://conjure.readthedocs.io/en/latest/tutorials/Groups.html) by Chris Jefferson and Alice Lynch. Adapted by Alex Gallagher."
+      ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "This tutorial discusses how to model semigroups, monoids and groups in Essence."
-      ],
       "metadata": {
         "id": "Tly_igpYbNYM"
-      }
+      },
+      "source": [
+        "This tutorial discusses how to model semigroups, monoids and groups in Essence."
+      ]
     },
     {
       "cell_type": "code",
-      "source": [
-        "!source <(curl -s https://raw.githubusercontent.com/conjure-cp/conjure-notebook/v0.0.2/scripts/install-colab.sh)\n",
-        "%load_ext conjure"
-      ],
+      "execution_count": null,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/",
@@ -67,11 +52,10 @@
         "id": "0RYHwN9UcZ0A",
         "outputId": "a740cb25-36a7-4a06-95bd-9a546aa001ea"
       },
-      "execution_count": null,
       "outputs": [
         {
-          "output_type": "stream",
           "name": "stdout",
+          "output_type": "stream",
           "text": [
             "  % Total    % Received % Xferd  Average Speed   Time    Time     Time  Current\n",
             "                                 Dload  Upload   Total   Spent    Left  Speed\n",
@@ -83,291 +67,79 @@
           ]
         },
         {
-          "output_type": "display_data",
           "data": {
+            "application/javascript": "\"use strict\";\n\nCodeMirror.defineMode(\"text/conjure\", function (config) {\n\n    var isOperatorChar = /[+\\-*=<>%^\\/]/;\n\n    var keywords = {\n        \"forall\": true,\n        \"allDifferent\": true,\n        \"allDiff\": true,\n        \"alldifferent_except\": true,\n        \"dim\": true,\n        \"toSet\": true,\n        \"toMSet\": true,\n        \"toRelation\": true,\n        \"maximising\": true,\n        \"minimising\": true,\n        \"forAll\": true,\n        \"exists\": true,\n        \"toInt\": true,\n        \"sum\": true,\n        \"be\": true,\n        \"bijective\": true,\n        \"bool\": true,\n        \"by\": true,\n        \"complete\": true,\n        \"defined\": true,\n        \"domain\": true,\n        \"in\": true,\n        \"or\": true,\n        \"and\": true,\n        \"false\": true,\n        \"find\": true,\n        \"from\": true,\n        \"function\": true,\n        \"given\": true,\n        \"image\": true,\n        \"indexed\": true,\n        \"injective\": true,\n        \"int\": true,\n        \"intersect\": true,\n        \"freq\": true,\n        \"lambda\": true,\n        \"language\": true,\n        \"letting\": true,\n        \"matrix\": true,\n        \"maxNumParts\": true,\n        \"maxOccur\": true,\n        \"maxPartSize\": true,\n        \"maxSize\": true,\n        \"minNumParts\": true,\n        \"minOccur\": true,\n        \"minPartSize\": true,\n        \"minSize\": true,\n        \"mset\": true,\n        \"numParts\": true,\n        \"of\": true,\n        \"partial\": true,\n        \"partition\": true,\n        \"partSize\": true,\n        \"preImage\": true,\n        \"quantifier\": true,\n        \"range\": true,\n        \"regular\": true,\n        \"relation\": true,\n        \"representation\": true,\n        \"set\": true,\n        \"size\": true,\n        \"subset\": true,\n        \"subsetEq\": true,\n        \"such\": true,\n        \"supset\": true,\n        \"supsetEq\": true,\n        \"surjective\": true,\n        \"that\": true,\n        \"together\": true,\n        \"enum\": true,\n        \"total\": true,\n        \"true\": true,\n        \"new\": true,\n        \"type\": true,\n        \"tuple\": true,\n        \"union\": true,\n        \"where\": true,\n        \"branching\": true,\n        \"on\": true\n    };  \n    var punc = \":;,.(){}[]\";\n\n    function tokenBase(stream, state) {\n        var ch = stream.next();\n        if (ch == '\"') {\n            state.tokenize.push(tokenString);\n            return tokenString(stream, state);\n        }\n        if (/[\\d\\.]/.test(ch)) {\n            if (ch == \".\") {\n                stream.match(/^[0-9]+([eE][\\-+]?[0-9]+)?/);\n            } else if (ch == \"0\") {\n                stream.match(/^[xX][0-9a-fA-F]+/) || stream.match(/^0[0-7]+/);\n            } else {\n                stream.match(/^[0-9]*\\.?[0-9]*([eE][\\-+]?[0-9]+)?/);\n            }\n            return \"number\";\n        }\n        if (ch == \"/\") {\n            if (stream.eat(\"*\")) {\n                state.tokenize.push(tokenComment);\n                return tokenComment(stream, state);\n            }\n        }\n        if (ch == \"$\") {\n            stream.skipToEnd();\n            return \"comment\";\n        }\n        if (isOperatorChar.test(ch)) {\n            stream.eatWhile(isOperatorChar);\n            return \"operator\";\n        }\n        if (punc.indexOf(ch) > -1) {\n            return \"punctuation\";\n        }\n        stream.eatWhile(/[\\w\\$_\\xa1-\\uffff]/);\n        var cur = stream.current();\n        \n        if (keywords.propertyIsEnumerable(cur)) {\n            return \"keyword\";\n        }\n        return \"variable\";\n    }\n\n    function tokenComment(stream, state) {\n        var maybeEnd = false, ch;\n        while (ch = stream.next()) {\n            if (ch == \"/\" && maybeEnd) {\n                state.tokenize.pop();\n                break;\n            }\n            maybeEnd = (ch == \"*\");\n        }\n        return \"comment\";\n    }\n\n    function tokenUntilClosingParen() {\n        var depth = 0;\n        return function (stream, state, prev) {\n            var inner = tokenBase(stream, state, prev);\n            console.log(\"untilClosing\", inner, stream.current());\n            if (inner == \"punctuation\") {\n                if (stream.current() == \"(\") {\n                    ++depth;\n                } else if (stream.current() == \")\") {\n                    if (depth == 0) {\n                        stream.backUp(1)\n                        state.tokenize.pop()\n                        return state.tokenize[state.tokenize.length - 1](stream, state)\n                    } else {\n                        --depth;\n                    }\n                }\n            }\n            return inner;\n        }\n    }\n\n    function tokenString(stream, state) {\n        var escaped = false, next, end = false;\n        while ((next = stream.next()) != null) {\n            if (next == '(' && escaped) {\n                state.tokenize.push(tokenUntilClosingParen());\n                return \"string\";\n            }\n            if (next == '\"' && !escaped) { end = true; break; }\n            escaped = !escaped && next == \"\\\\\";\n        }\n        if (end || !escaped)\n            state.tokenize.pop();\n        return \"string\";\n    }\n\n    return {\n        startState: function (basecolumn) {\n            return {\n                tokenize: []\n            };\n        },\n\n        token: function (stream, state) {\n            if (stream.eatSpace()) return null;\n            var style = (state.tokenize[state.tokenize.length - 1] || tokenBase)(stream, state);\n            console.log(\"token\", style);\n            return style;\n        },\n\n        blockCommentStart: \"/*\",\n        blockCommentEnd: \"*/\",\n        lineComment: \"$\"\n    };\n});\n\n\nCodeMirror.defineMIME(\"text/conjure\", \"text/conjure\");\n\nrequire(['notebook/js/codecell'], function (codecell) {\n    codecell.CodeCell.options_default.highlight_modes['magic_text/conjure'] = { 'reg': [/%?%conjure/] };\n    Jupyter.notebook.events.one('kernel_ready.Kernel', function () {\n        Jupyter.notebook.get_cells().map(function (cell) {\n            if (cell.cell_type == 'code') { cell.auto_highlight(); }\n        });\n    });\n});\n\n",
             "text/plain": [
               "<IPython.core.display.Javascript object>"
-            ],
-            "application/javascript": [
-              "\"use strict\";\n",
-              "\n",
-              "CodeMirror.defineMode(\"text/conjure\", function (config) {\n",
-              "\n",
-              "    var isOperatorChar = /[+\\-*=<>%^\\/]/;\n",
-              "\n",
-              "    var keywords = {\n",
-              "        \"forall\": true,\n",
-              "        \"allDifferent\": true,\n",
-              "        \"allDiff\": true,\n",
-              "        \"alldifferent_except\": true,\n",
-              "        \"dim\": true,\n",
-              "        \"toSet\": true,\n",
-              "        \"toMSet\": true,\n",
-              "        \"toRelation\": true,\n",
-              "        \"maximising\": true,\n",
-              "        \"minimising\": true,\n",
-              "        \"forAll\": true,\n",
-              "        \"exists\": true,\n",
-              "        \"toInt\": true,\n",
-              "        \"sum\": true,\n",
-              "        \"be\": true,\n",
-              "        \"bijective\": true,\n",
-              "        \"bool\": true,\n",
-              "        \"by\": true,\n",
-              "        \"complete\": true,\n",
-              "        \"defined\": true,\n",
-              "        \"domain\": true,\n",
-              "        \"in\": true,\n",
-              "        \"or\": true,\n",
-              "        \"and\": true,\n",
-              "        \"false\": true,\n",
-              "        \"find\": true,\n",
-              "        \"from\": true,\n",
-              "        \"function\": true,\n",
-              "        \"given\": true,\n",
-              "        \"image\": true,\n",
-              "        \"indexed\": true,\n",
-              "        \"injective\": true,\n",
-              "        \"int\": true,\n",
-              "        \"intersect\": true,\n",
-              "        \"freq\": true,\n",
-              "        \"lambda\": true,\n",
-              "        \"language\": true,\n",
-              "        \"letting\": true,\n",
-              "        \"matrix\": true,\n",
-              "        \"maxNumParts\": true,\n",
-              "        \"maxOccur\": true,\n",
-              "        \"maxPartSize\": true,\n",
-              "        \"maxSize\": true,\n",
-              "        \"minNumParts\": true,\n",
-              "        \"minOccur\": true,\n",
-              "        \"minPartSize\": true,\n",
-              "        \"minSize\": true,\n",
-              "        \"mset\": true,\n",
-              "        \"numParts\": true,\n",
-              "        \"of\": true,\n",
-              "        \"partial\": true,\n",
-              "        \"partition\": true,\n",
-              "        \"partSize\": true,\n",
-              "        \"preImage\": true,\n",
-              "        \"quantifier\": true,\n",
-              "        \"range\": true,\n",
-              "        \"regular\": true,\n",
-              "        \"relation\": true,\n",
-              "        \"representation\": true,\n",
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-              "        \"total\": true,\n",
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-              "        \"new\": true,\n",
-              "        \"type\": true,\n",
-              "        \"tuple\": true,\n",
-              "        \"union\": true,\n",
-              "        \"where\": true,\n",
-              "        \"branching\": true,\n",
-              "        \"on\": true\n",
-              "    };  \n",
-              "    var punc = \":;,.(){}[]\";\n",
-              "\n",
-              "    function tokenBase(stream, state) {\n",
-              "        var ch = stream.next();\n",
-              "        if (ch == '\"') {\n",
-              "            state.tokenize.push(tokenString);\n",
-              "            return tokenString(stream, state);\n",
-              "        }\n",
-              "        if (/[\\d\\.]/.test(ch)) {\n",
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-              "                stream.match(/^[0-9]+([eE][\\-+]?[0-9]+)?/);\n",
-              "            } else if (ch == \"0\") {\n",
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-              "            }\n",
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-              "            stream.skipToEnd();\n",
-              "            return \"comment\";\n",
-              "        }\n",
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-              "            return \"operator\";\n",
-              "        }\n",
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-              "            return \"punctuation\";\n",
-              "        }\n",
-              "        stream.eatWhile(/[\\w\\$_\\xa1-\\uffff]/);\n",
-              "        var cur = stream.current();\n",
-              "        \n",
-              "        if (keywords.propertyIsEnumerable(cur)) {\n",
-              "            return \"keyword\";\n",
-              "        }\n",
-              "        return \"variable\";\n",
-              "    }\n",
-              "\n",
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-              "                break;\n",
-              "            }\n",
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-              "            console.log(\"untilClosing\", inner, stream.current());\n",
-              "            if (inner == \"punctuation\") {\n",
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-              "                    ++depth;\n",
-              "                } else if (stream.current() == \")\") {\n",
-              "                    if (depth == 0) {\n",
-              "                        stream.backUp(1)\n",
-              "                        state.tokenize.pop()\n",
-              "                        return state.tokenize[state.tokenize.length - 1](stream, state)\n",
-              "                    } else {\n",
-              "                        --depth;\n",
-              "                    }\n",
-              "                }\n",
-              "            }\n",
-              "            return inner;\n",
-              "        }\n",
-              "    }\n",
-              "\n",
-              "    function tokenString(stream, state) {\n",
-              "        var escaped = false, next, end = false;\n",
-              "        while ((next = stream.next()) != null) {\n",
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-              "                return \"string\";\n",
-              "            }\n",
-              "            if (next == '\"' && !escaped) { end = true; break; }\n",
-              "            escaped = !escaped && next == \"\\\\\";\n",
-              "        }\n",
-              "        if (end || !escaped)\n",
-              "            state.tokenize.pop();\n",
-              "        return \"string\";\n",
-              "    }\n",
-              "\n",
-              "    return {\n",
-              "        startState: function (basecolumn) {\n",
-              "            return {\n",
-              "                tokenize: []\n",
-              "            };\n",
-              "        },\n",
-              "\n",
-              "        token: function (stream, state) {\n",
-              "            if (stream.eatSpace()) return null;\n",
-              "            var style = (state.tokenize[state.tokenize.length - 1] || tokenBase)(stream, state);\n",
-              "            console.log(\"token\", style);\n",
-              "            return style;\n",
-              "        },\n",
-              "\n",
-              "        blockCommentStart: \"/*\",\n",
-              "        blockCommentEnd: \"*/\",\n",
-              "        lineComment: \"$\"\n",
-              "    };\n",
-              "});\n",
-              "\n",
-              "\n",
-              "CodeMirror.defineMIME(\"text/conjure\", \"text/conjure\");\n",
-              "\n",
-              "require(['notebook/js/codecell'], function (codecell) {\n",
-              "    codecell.CodeCell.options_default.highlight_modes['magic_text/conjure'] = { 'reg': [/%?%conjure/] };\n",
-              "    Jupyter.notebook.events.one('kernel_ready.Kernel', function () {\n",
-              "        Jupyter.notebook.get_cells().map(function (cell) {\n",
-              "            if (cell.cell_type == 'code') { cell.auto_highlight(); }\n",
-              "        });\n",
-              "    });\n",
-              "});\n",
-              "\n"
             ]
           },
-          "metadata": {}
+          "metadata": {},
+          "output_type": "display_data"
         },
         {
-          "output_type": "stream",
           "name": "stdout",
+          "output_type": "stream",
           "text": [
             "Conjure extension is loaded.\n",
             "For usage help run: %conjure_help\n"
           ]
         }
+      ],
+      "source": [
+        "!source <(curl -s https://raw.githubusercontent.com/conjure-cp/conjure-notebook/v0.0.2/scripts/install-colab.sh)\n",
+        "%load_ext conjure"
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "## The Problem"
-      ],
       "metadata": {
         "id": "IIXm6aerbQEv"
-      }
+      },
+      "source": [
+        "## The Problem"
+      ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
+      "metadata": {
+        "id": "8_84KDprbpLq"
+      },
       "source": [
         "Semigroups, monoids and groups are all examples of binary operations, with added conditions.\n",
         "\n",
         "\n",
         "We will begin by building a binary operation. A binary relation `R` on a domain `S` is a two-argument function which maps two elements of `S` to a third element of `S`. We will make `S` be the integers from `1` to `n`, for some given `n`."
-      ],
-      "metadata": {
-        "id": "8_84KDprbpLq"
-      }
+      ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
+      "metadata": {
+        "id": "aP09RDjCc03v"
+      },
       "source": [
         "We make a new type of size `n` to represent the set the operation is defined on. We then define a function from `(S,S)` to `S`. Technically, this function doesn’t take two arguments - it takes a single argument which is a pair of values from `S`. This is mathematically the same, but will change how we use `R`.\n",
         "\n",
         "\n",
         "We will begin by creating a solution to this, for `n = 4`."
-      ],
-      "metadata": {
-        "id": "aP09RDjCc03v"
-      }
+      ]
     },
     {
       "cell_type": "code",
-      "source": [
-        "n = 4"
-      ],
+      "execution_count": null,
       "metadata": {
         "id": "WutDydBpcrlm"
       },
-      "execution_count": null,
-      "outputs": []
+      "outputs": [],
+      "source": [
+        "n = 4"
+      ]
     },
     {
       "cell_type": "code",
-      "source": [
-        "%%conjure\n",
-        "given n : int\n",
-        "letting S be domain int(1..n)\n",
-        "\n",
-        "find R : function(total) (S,S) --> S"
-      ],
+      "execution_count": null,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/"
@@ -375,10 +147,8 @@
         "id": "ruoE-Rc-b-eP",
         "outputId": "2404a163-69b6-466e-86a0-ef24f370ba85"
       },
-      "execution_count": null,
       "outputs": [
         {
-          "output_type": "execute_result",
           "data": {
             "text/plain": [
               "{'R': [[[1, 1], 1],\n",
@@ -399,63 +169,66 @@
               "  [[4, 4], 1]]}"
             ]
           },
+          "execution_count": 4,
           "metadata": {},
-          "execution_count": 4
+          "output_type": "execute_result"
         }
+      ],
+      "source": [
+        "%%conjure\n",
+        "given n : int\n",
+        "letting S be domain int(1..n)\n",
+        "\n",
+        "find R : function(total) (S,S) --> S"
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
+      "metadata": {
+        "id": "d6aN2lyydSpa"
+      },
       "source": [
         "At the moment this is quite boring, as the function can take any value at all! Asking Conjure how many solutions this problem has is unreasonable, but we can figure it out with maths:\n",
         "\n",
         "4<sup>16</sup> = 4,294,967,296\n",
         "\n",
         "Let’s try adding some constraints."
-      ],
-      "metadata": {
-        "id": "d6aN2lyydSpa"
-      }
+      ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "##Semigroups"
-      ],
       "metadata": {
         "id": "7fJvxGbLd3Rp"
-      }
+      },
+      "source": [
+        "## Semigroups"
+      ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "The simplest object we will consider is a **semigroup**. A semigroup adds one constraint to our binary operation, **associativity**. A binary operation is associative if for all i,j and k in S, R(i,R(j,k)) = R((R(i,j),k). This might look very abstract, but it is true of many binary operations, for example given integers i,j and k, (i+j)+k = i+(j+k), and (i * j) * k = i * (j * k)."
-      ],
       "metadata": {
         "id": "s7QuRhtUd52X"
-      }
+      },
+      "source": [
+        "The simplest object we will consider is a **semigroup**. A semigroup adds one constraint to our binary operation, **associativity**. A binary operation is associative if for all i,j and k in S, R(i,R(j,k)) = R((R(i,j),k). This might look very abstract, but it is true of many binary operations, for example given integers i,j and k, (i+j)+k = i+(j+k), and (i * j) * k = i * (j * k)."
+      ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "We begin by saying we want to check `forAll i,j,k: S`. The strangest bit is all of the brackets seem doubled. Your vision isn’t failing, this is because `M` is a one argument function (and we use `M(x)` to apply `M` to `x`), but `M` takes a tuple as its argument (which we write as `(i,j)`), so to apply `M` to `i` and `j` we write `M((i,j))`."
-      ],
       "metadata": {
         "id": "0gWAIm26eGVv"
-      }
+      },
+      "source": [
+        "We begin by saying we want to check `forAll i,j,k: S`. The strangest bit is all of the brackets seem doubled. Your vision isn’t failing, this is because `M` is a one argument function (and we use `M(x)` to apply `M` to `x`), but `M` takes a tuple as its argument (which we write as `(i,j)`), so to apply `M` to `i` and `j` we write `M((i,j))`."
+      ]
     },
     {
       "cell_type": "code",
-      "source": [
-        "%%conjure\n",
-        "letting S be domain int(1..n)\n",
-        "\n",
-        "find R : function(total) (S,S) --> S\n",
-        "\n",
-        "such that\n",
-        "\n",
-        "forAll i,j,k: S. R((i,R((j,k)))) = R((R((i,j)),k))"
-      ],
+      "execution_count": null,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/"
@@ -463,10 +236,8 @@
         "id": "E5hy8Xe7ebsM",
         "outputId": "e878e0f2-d253-46eb-c723-7eed146e726d"
       },
-      "execution_count": null,
       "outputs": [
         {
-          "output_type": "execute_result",
           "data": {
             "text/plain": [
               "{'R': [[[1, 1], 1],\n",
@@ -487,56 +258,57 @@
               "  [[4, 4], 1]]}"
             ]
           },
+          "execution_count": 6,
           "metadata": {},
-          "execution_count": 6
+          "output_type": "execute_result"
         }
+      ],
+      "source": [
+        "%%conjure\n",
+        "letting S be domain int(1..n)\n",
+        "\n",
+        "find R : function(total) (S,S) --> S\n",
+        "\n",
+        "such that\n",
+        "\n",
+        "forAll i,j,k: S. R((i,R((j,k)))) = R((R((i,j)),k))"
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "The first result is still the same, but there are fewer solutions to be found now - only 3,492. Is this correct? It’s always good to check. This number was first published in 1955, by George E. Forsythe, in his paper “SWAC Computes 126 Distinct Semigroups of Order 4”. Where does the number 126 come from? This small number comes from ignoring cases where the semigroup is the same except for rearranging the numbers 1,2,3,4. The number we found, 3,492, is found in the paper."
-      ],
       "metadata": {
         "id": "uQBnwZarenjL"
-      }
+      },
+      "source": [
+        "The first result is still the same, but there are fewer solutions to be found now - only 3,492. Is this correct? It’s always good to check. This number was first published in 1955, by George E. Forsythe, in his paper “SWAC Computes 126 Distinct Semigroups of Order 4”. Where does the number 126 come from? This small number comes from ignoring cases where the semigroup is the same except for rearranging the numbers 1,2,3,4. The number we found, 3,492, is found in the paper."
+      ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "##Monoids"
-      ],
       "metadata": {
         "id": "Kxr07DIuex8m"
-      }
+      },
+      "source": [
+        "## Monoids"
+      ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
+      "metadata": {
+        "id": "kHVypWgQe6Fr"
+      },
       "source": [
         "Let’s move further to monoids. A monoid is a semigroup with an extra condition, there has to exist some element of the semigroup, which we will call *e*, which acts as an **identity**. An **identity** is an element such that for all `i` in `S`, `R(e,i) = R(i,e) = e`.\n",
         "\n",
         "Firstly we will add a variable to store the value of this `e`, and then add the extra constraint which makes it an identity:"
-      ],
-      "metadata": {
-        "id": "kHVypWgQe6Fr"
-      }
+      ]
     },
     {
       "cell_type": "code",
-      "source": [
-        "%%conjure\n",
-        "\n",
-        "letting S be domain int(1..n)\n",
-        "\n",
-        "find R : function (total) (S,S) --> S\n",
-        "\n",
-        "find e : S\n",
-        "\n",
-        "such that\n",
-        "\n",
-        "forAll i,j,k: S. R((i,R((j,k)))) = R((R((i,j)),k)),\n",
-        "forAll i : S. R((e,i)) = i /\\ R((i,e)) = i,"
-      ],
+      "execution_count": null,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/"
@@ -544,10 +316,8 @@
         "id": "6d9Bng1hfpEm",
         "outputId": "e95c22bf-cd3f-4d3e-f37a-70ea909351b6"
       },
-      "execution_count": null,
       "outputs": [
         {
-          "output_type": "execute_result",
           "data": {
             "text/plain": [
               "{'R': [[[1, 1], 1],\n",
@@ -570,59 +340,61 @@
               " 'inv': {'1': 1, '2': 2, '3': 3, '4': 4}}"
             ]
           },
+          "execution_count": 12,
           "metadata": {},
-          "execution_count": 12
+          "output_type": "execute_result"
         }
+      ],
+      "source": [
+        "%%conjure\n",
+        "\n",
+        "letting S be domain int(1..n)\n",
+        "\n",
+        "find R : function (total) (S,S) --> S\n",
+        "\n",
+        "find e : S\n",
+        "\n",
+        "such that\n",
+        "\n",
+        "forAll i,j,k: S. R((i,R((j,k)))) = R((R((i,j)),k)),\n",
+        "forAll i : S. R((e,i)) = i /\\ R((i,e)) = i,"
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "We now have only 624 solutions! We can check this by looking at the amazing online encyclopedia of integer sequences https://oeis.org/A058153 , which tells us there are indeed 624 “labelled monoids” of order n."
-      ],
       "metadata": {
         "id": "8UUknSEagk34"
-      }
+      },
+      "source": [
+        "We now have only 624 solutions! We can check this by looking at the amazing online encyclopedia of integer sequences https://oeis.org/A058153 , which tells us there are indeed 624 “labelled monoids” of order n."
+      ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "##Groups"
-      ],
       "metadata": {
         "id": "2gudg9KYgp6R"
-      }
+      },
+      "source": [
+        "## Groups"
+      ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
+      "metadata": {
+        "id": "eWHVoUvPgrbh"
+      },
       "source": [
         "Finally, let us move to groups. Groups add one important requirement, the concept of an inverse. Given some `i` in `S`, `j` is an inverse of `i` if `R((i,j)) = R((j,i)) = e`, where `e` is our already existing identity.\n",
         "\n",
         "We will store the inverses as an extra array, and then add this final constraint:"
-      ],
-      "metadata": {
-        "id": "eWHVoUvPgrbh"
-      }
+      ]
     },
     {
       "cell_type": "code",
-      "source": [
-        "%%conjure\n",
-        "letting S be domain int(1..n)\n",
-        "\n",
-        "find R : function (total) (S,S) --> S\n",
-        "\n",
-        "find e : S\n",
-        "\n",
-        "find inv: function S --> S\n",
-        "\n",
-        "such that\n",
-        "\n",
-        "forAll i,j,k: S. R((i,R((j,k)))) = R((R((i,j)),k)),\n",
-        "forAll i : S. R((e,i)) = i /\\ R((i,e)) = i,\n",
-        "\n",
-        "forAll i : S. R((i,inv(i))) = e /\\ R((inv(i),i)) = e"
-      ],
+      "execution_count": null,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/"
@@ -630,10 +402,8 @@
         "id": "kjnJufr6g7RP",
         "outputId": "d612e8b4-54a2-4c5a-8651-1dd386771596"
       },
-      "execution_count": null,
       "outputs": [
         {
-          "output_type": "execute_result",
           "data": {
             "text/plain": [
               "{'R': [[[1, 1], 1],\n",
@@ -656,24 +426,11 @@
               " 'inv': {'1': 1, '2': 2, '3': 3, '4': 4}}"
             ]
           },
+          "execution_count": 9,
           "metadata": {},
-          "execution_count": 9
+          "output_type": "execute_result"
         }
-      ]
-    },
-    {
-      "cell_type": "markdown",
-      "source": [
-        "This solution has much more going on than our previous ones! For example, each row and column contains the numbers from `1` to `4`, in some order. This (and many, many other results) are true for all groups (but we won’t prove this here!). This problem only has 16 solutions, and once we removed the groups which are made by just swapping around 1,2,3 and 4, we would find there was only 2 groups! The extra structure means there are only a small number of groups for each size, compared to the number of semigroups and monoids.\n",
-        "\n",
-        "There are many special types of groups; we will consider just one here, abelian groups. A group is abelian if for all `i` and `j` in `S`, `R((i,j)) = R((j,i))`. Let’s add this condition!"
       ],
-      "metadata": {
-        "id": "HAdxspUohyta"
-      }
-    },
-    {
-      "cell_type": "code",
       "source": [
         "%%conjure\n",
         "letting S be domain int(1..n)\n",
@@ -688,9 +445,25 @@
         "\n",
         "forAll i,j,k: S. R((i,R((j,k)))) = R((R((i,j)),k)),\n",
         "forAll i : S. R((e,i)) = i /\\ R((i,e)) = i,\n",
-        "forAll i : S. R((i,inv(i))) = e /\\ R((inv(i),i)) = e,\n",
-        "forAll i,j : S. R((i,j)) = R((j,i))"
-      ],
+        "\n",
+        "forAll i : S. R((i,inv(i))) = e /\\ R((inv(i),i)) = e"
+      ]
+    },
+    {
+      "attachments": {},
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "HAdxspUohyta"
+      },
+      "source": [
+        "This solution has much more going on than our previous ones! For example, each row and column contains the numbers from `1` to `4`, in some order. This (and many, many other results) are true for all groups (but we won’t prove this here!). This problem only has 16 solutions, and once we removed the groups which are made by just swapping around 1,2,3 and 4, we would find there was only 2 groups! The extra structure means there are only a small number of groups for each size, compared to the number of semigroups and monoids.\n",
+        "\n",
+        "There are many special types of groups; we will consider just one here, abelian groups. A group is abelian if for all `i` and `j` in `S`, `R((i,j)) = R((j,i))`. Let’s add this condition!"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": null,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/"
@@ -698,10 +471,8 @@
         "id": "Kunrbz0-iXhY",
         "outputId": "2a1b5af6-f56e-4ba4-fc1e-c6f55b8be553"
       },
-      "execution_count": null,
       "outputs": [
         {
-          "output_type": "execute_result",
           "data": {
             "text/plain": [
               "{'R': [[[1, 1], 1],\n",
@@ -724,19 +495,54 @@
               " 'inv': {'1': 1, '2': 2, '3': 3, '4': 4}}"
             ]
           },
+          "execution_count": 11,
           "metadata": {},
-          "execution_count": 11
+          "output_type": "execute_result"
         }
+      ],
+      "source": [
+        "%%conjure\n",
+        "letting S be domain int(1..n)\n",
+        "\n",
+        "find R : function (total) (S,S) --> S\n",
+        "\n",
+        "find e : S\n",
+        "\n",
+        "find inv: function S --> S\n",
+        "\n",
+        "such that\n",
+        "\n",
+        "forAll i,j,k: S. R((i,R((j,k)))) = R((R((i,j)),k)),\n",
+        "forAll i : S. R((e,i)) = i /\\ R((i,e)) = i,\n",
+        "forAll i : S. R((i,inv(i))) = e /\\ R((inv(i),i)) = e,\n",
+        "forAll i,j : S. R((i,j)) = R((j,i))"
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "This gives us the same first solution. In fact, there is the same number of solutions (16) to this problem as the previous one, proving that all groups of size 4 are abelian! In fact, the smallest non-abelian group is size 60, and that is beyond the size of problems we can find all solutions to with our current, simple model."
-      ],
       "metadata": {
         "id": "yZDLJ0G6ifkn"
-      }
+      },
+      "source": [
+        "This gives us the same first solution. In fact, there is the same number of solutions (16) to this problem as the previous one, proving that all groups of size 4 are abelian! In fact, the smallest non-abelian group is size 60, and that is beyond the size of problems we can find all solutions to with our current, simple model."
+      ]
+    }
+  ],
+  "metadata": {
+    "colab": {
+      "authorship_tag": "ABX9TyNmwuGfH/vOYeP0Tj5vUcu/",
+      "include_colab_link": true,
+      "provenance": []
+    },
+    "kernelspec": {
+      "display_name": "Python 3",
+      "name": "python3"
+    },
+    "language_info": {
+      "name": "python"
     }
-  ]
-}
\ No newline at end of file
+  },
+  "nbformat": 4,
+  "nbformat_minor": 0
+}
diff --git a/docs/tutorials/notebooks/SimplePermutations.ipynb b/docs/tutorials/notebooks/SimplePermutations.ipynb
index 51e4e878f..3d4c740f0 100644
--- a/docs/tutorials/notebooks/SimplePermutations.ipynb
+++ b/docs/tutorials/notebooks/SimplePermutations.ipynb
@@ -1,93 +1,81 @@
 {
-  "nbformat": 4,
-  "nbformat_minor": 0,
-  "metadata": {
-    "colab": {
-      "provenance": [],
-      "authorship_tag": "ABX9TyPeoxDmDrpY9z9gXZGQBH/P",
-      "include_colab_link": true
-    },
-    "kernelspec": {
-      "name": "python3",
-      "display_name": "Python 3"
-    },
-    "language_info": {
-      "name": "python"
-    }
-  },
   "cells": [
     {
+      "attachments": {},
       "cell_type": "markdown",
       "metadata": {
-        "id": "view-in-github",
-        "colab_type": "text"
+        "colab_type": "text",
+        "id": "view-in-github"
       },
       "source": [
         "<a href=\"https://colab.research.google.com/github/sasha704/conjure/blob/simplePermutations/docs/tutorials/notebooks/SimplePermutations.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "# Simple Permutations"
-      ],
       "metadata": {
         "id": "ui5YqwoFv7LV"
-      }
+      },
+      "source": [
+        "# Simple Permutations"
+      ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "Original [Simple Permutations](https://conjure.readthedocs.io/en/latest/tutorials.html#simple-permutations) by Ruth Hoffmann and Gökberk Koçak, edited by András Salamon. Adapted by Alex Gallagher."
-      ],
       "metadata": {
         "id": "U-HzMB6vs1Zw"
-      }
+      },
+      "source": [
+        "Original [Simple Permutations](https://conjure.readthedocs.io/en/latest/tutorials/simple_perm/simple_perm.html) by Ruth Hoffmann and Gökberk Koçak, edited by András Salamon. Adapted by Alex Gallagher."
+      ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "## Problem"
-      ],
       "metadata": {
         "id": "2mcDxfXktRkP"
-      }
+      },
+      "source": [
+        "## Problem"
+      ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "Let a permutation be a sequence of length ***n*** consisting of numbers between 1 and ***n***, in any order with each number occurring exactly once."
-      ],
       "metadata": {
         "id": "vD4QRyo5tVXd"
-      }
+      },
+      "source": [
+        "Let a permutation be a sequence of length ***n*** consisting of numbers between 1 and ***n***, in any order with each number occurring exactly once."
+      ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
+      "metadata": {
+        "id": "0lb1eDuYtlM8"
+      },
       "source": [
         "An interval in a permutation **σ** is a factor of contiguous values of **σ** such that their indices are consecutive. For example, in the permutation **π=346978215**,\n",
         "**π(4)π(5)π(6)=978** is an interval, whereas **π(1)π(2)π(3)π(4)=3469** is not. It is easy to see that every permutation of length ***n*** has intervals of length 0, 1 and ***n***, at least. The permutations of length ***n*** that only contain intervals of length 0, 1 and ***n*** are said to be simple. So for example the permutation **π=346978215** is not simple as we have seen in the example above that it contains an interval, on the other hand \n",
         "**σ=526184937** is simple as there are no intervals of length strictly greater than 1, except the whole of **σ**. See [Hof15](https://conjure.readthedocs.io/en/latest/zreferences.html#id6) for more information on permutation patterns and simple permutations."
-      ],
-      "metadata": {
-        "id": "0lb1eDuYtlM8"
-      }
+      ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "## Parameter"
-      ],
       "metadata": {
         "id": "Xaie69Fh1n_M"
-      }
+      },
+      "source": [
+        "## Parameter"
+      ]
     },
     {
       "cell_type": "code",
-      "source": [
-        "!source <(curl -s https://raw.githubusercontent.com/conjure-cp/conjure-notebook/v0.0.2/scripts/install-colab.sh)\n",
-        "%load_ext conjure"
-      ],
+      "execution_count": null,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/",
@@ -96,11 +84,10 @@
         "id": "Ez_RQBSQw0DV",
         "outputId": "a1408b64-36d6-44b0-fec2-962b8929e2a3"
       },
-      "execution_count": null,
       "outputs": [
         {
-          "output_type": "stream",
           "name": "stdout",
+          "output_type": "stream",
           "text": [
             "Installing Conjure...\n",
             "Conjure: The Automated Constraint Modelling Tool\n",
@@ -109,244 +96,32 @@
           ]
         },
         {
-          "output_type": "display_data",
           "data": {
+            "application/javascript": "\"use strict\";\n\nCodeMirror.defineMode(\"text/conjure\", function (config) {\n\n    var isOperatorChar = /[+\\-*=<>%^\\/]/;\n\n    var keywords = {\n        \"forall\": true,\n        \"allDifferent\": true,\n        \"allDiff\": true,\n        \"alldifferent_except\": true,\n        \"dim\": true,\n        \"toSet\": true,\n        \"toMSet\": true,\n        \"toRelation\": true,\n        \"maximising\": true,\n        \"minimising\": true,\n        \"forAll\": true,\n        \"exists\": true,\n        \"toInt\": true,\n        \"sum\": true,\n        \"be\": true,\n        \"bijective\": true,\n        \"bool\": true,\n        \"by\": true,\n        \"complete\": true,\n        \"defined\": true,\n        \"domain\": true,\n        \"in\": true,\n        \"or\": true,\n        \"and\": true,\n        \"false\": true,\n        \"find\": true,\n        \"from\": true,\n        \"function\": true,\n        \"given\": true,\n        \"image\": true,\n        \"indexed\": true,\n        \"injective\": true,\n        \"int\": true,\n        \"intersect\": true,\n        \"freq\": true,\n        \"lambda\": true,\n        \"language\": true,\n        \"letting\": true,\n        \"matrix\": true,\n        \"maxNumParts\": true,\n        \"maxOccur\": true,\n        \"maxPartSize\": true,\n        \"maxSize\": true,\n        \"minNumParts\": true,\n        \"minOccur\": true,\n        \"minPartSize\": true,\n        \"minSize\": true,\n        \"mset\": true,\n        \"numParts\": true,\n        \"of\": true,\n        \"partial\": true,\n        \"partition\": true,\n        \"partSize\": true,\n        \"preImage\": true,\n        \"quantifier\": true,\n        \"range\": true,\n        \"regular\": true,\n        \"relation\": true,\n        \"representation\": true,\n        \"set\": true,\n        \"size\": true,\n        \"subset\": true,\n        \"subsetEq\": true,\n        \"such\": true,\n        \"supset\": true,\n        \"supsetEq\": true,\n        \"surjective\": true,\n        \"that\": true,\n        \"together\": true,\n        \"enum\": true,\n        \"total\": true,\n        \"true\": true,\n        \"new\": true,\n        \"type\": true,\n        \"tuple\": true,\n        \"union\": true,\n        \"where\": true,\n        \"branching\": true,\n        \"on\": true\n    };  \n    var punc = \":;,.(){}[]\";\n\n    function tokenBase(stream, state) {\n        var ch = stream.next();\n        if (ch == '\"') {\n            state.tokenize.push(tokenString);\n            return tokenString(stream, state);\n        }\n        if (/[\\d\\.]/.test(ch)) {\n            if (ch == \".\") {\n                stream.match(/^[0-9]+([eE][\\-+]?[0-9]+)?/);\n            } else if (ch == \"0\") {\n                stream.match(/^[xX][0-9a-fA-F]+/) || stream.match(/^0[0-7]+/);\n            } else {\n                stream.match(/^[0-9]*\\.?[0-9]*([eE][\\-+]?[0-9]+)?/);\n            }\n            return \"number\";\n        }\n        if (ch == \"/\") {\n            if (stream.eat(\"*\")) {\n                state.tokenize.push(tokenComment);\n                return tokenComment(stream, state);\n            }\n        }\n        if (ch == \"$\") {\n            stream.skipToEnd();\n            return \"comment\";\n        }\n        if (isOperatorChar.test(ch)) {\n            stream.eatWhile(isOperatorChar);\n            return \"operator\";\n        }\n        if (punc.indexOf(ch) > -1) {\n            return \"punctuation\";\n        }\n        stream.eatWhile(/[\\w\\$_\\xa1-\\uffff]/);\n        var cur = stream.current();\n        \n        if (keywords.propertyIsEnumerable(cur)) {\n            return \"keyword\";\n        }\n        return \"variable\";\n    }\n\n    function tokenComment(stream, state) {\n        var maybeEnd = false, ch;\n        while (ch = stream.next()) {\n            if (ch == \"/\" && maybeEnd) {\n                state.tokenize.pop();\n                break;\n            }\n            maybeEnd = (ch == \"*\");\n        }\n        return \"comment\";\n    }\n\n    function tokenUntilClosingParen() {\n        var depth = 0;\n        return function (stream, state, prev) {\n            var inner = tokenBase(stream, state, prev);\n            console.log(\"untilClosing\", inner, stream.current());\n            if (inner == \"punctuation\") {\n                if (stream.current() == \"(\") {\n                    ++depth;\n                } else if (stream.current() == \")\") {\n                    if (depth == 0) {\n                        stream.backUp(1)\n                        state.tokenize.pop()\n                        return state.tokenize[state.tokenize.length - 1](stream, state)\n                    } else {\n                        --depth;\n                    }\n                }\n            }\n            return inner;\n        }\n    }\n\n    function tokenString(stream, state) {\n        var escaped = false, next, end = false;\n        while ((next = stream.next()) != null) {\n            if (next == '(' && escaped) {\n                state.tokenize.push(tokenUntilClosingParen());\n                return \"string\";\n            }\n            if (next == '\"' && !escaped) { end = true; break; }\n            escaped = !escaped && next == \"\\\\\";\n        }\n        if (end || !escaped)\n            state.tokenize.pop();\n        return \"string\";\n    }\n\n    return {\n        startState: function (basecolumn) {\n            return {\n                tokenize: []\n            };\n        },\n\n        token: function (stream, state) {\n            if (stream.eatSpace()) return null;\n            var style = (state.tokenize[state.tokenize.length - 1] || tokenBase)(stream, state);\n            console.log(\"token\", style);\n            return style;\n        },\n\n        blockCommentStart: \"/*\",\n        blockCommentEnd: \"*/\",\n        lineComment: \"$\"\n    };\n});\n\n\nCodeMirror.defineMIME(\"text/conjure\", \"text/conjure\");\n\nrequire(['notebook/js/codecell'], function (codecell) {\n    codecell.CodeCell.options_default.highlight_modes['magic_text/conjure'] = { 'reg': [/%?%conjure/] };\n    Jupyter.notebook.events.one('kernel_ready.Kernel', function () {\n        Jupyter.notebook.get_cells().map(function (cell) {\n            if (cell.cell_type == 'code') { cell.auto_highlight(); }\n        });\n    });\n});\n\n",
             "text/plain": [
               "<IPython.core.display.Javascript object>"
-            ],
-            "application/javascript": [
-              "\"use strict\";\n",
-              "\n",
-              "CodeMirror.defineMode(\"text/conjure\", function (config) {\n",
-              "\n",
-              "    var isOperatorChar = /[+\\-*=<>%^\\/]/;\n",
-              "\n",
-              "    var keywords = {\n",
-              "        \"forall\": true,\n",
-              "        \"allDifferent\": true,\n",
-              "        \"allDiff\": true,\n",
-              "        \"alldifferent_except\": true,\n",
-              "        \"dim\": true,\n",
-              "        \"toSet\": true,\n",
-              "        \"toMSet\": true,\n",
-              "        \"toRelation\": true,\n",
-              "        \"maximising\": true,\n",
-              "        \"minimising\": true,\n",
-              "        \"forAll\": true,\n",
-              "        \"exists\": true,\n",
-              "        \"toInt\": true,\n",
-              "        \"sum\": true,\n",
-              "        \"be\": true,\n",
-              "        \"bijective\": true,\n",
-              "        \"bool\": true,\n",
-              "        \"by\": true,\n",
-              "        \"complete\": true,\n",
-              "        \"defined\": true,\n",
-              "        \"domain\": true,\n",
-              "        \"in\": true,\n",
-              "        \"or\": true,\n",
-              "        \"and\": true,\n",
-              "        \"false\": true,\n",
-              "        \"find\": true,\n",
-              "        \"from\": true,\n",
-              "        \"function\": true,\n",
-              "        \"given\": true,\n",
-              "        \"image\": true,\n",
-              "        \"indexed\": true,\n",
-              "        \"injective\": true,\n",
-              "        \"int\": true,\n",
-              "        \"intersect\": true,\n",
-              "        \"freq\": true,\n",
-              "        \"lambda\": true,\n",
-              "        \"language\": true,\n",
-              "        \"letting\": true,\n",
-              "        \"matrix\": true,\n",
-              "        \"maxNumParts\": true,\n",
-              "        \"maxOccur\": true,\n",
-              "        \"maxPartSize\": true,\n",
-              "        \"maxSize\": true,\n",
-              "        \"minNumParts\": true,\n",
-              "        \"minOccur\": true,\n",
-              "        \"minPartSize\": true,\n",
-              "        \"minSize\": true,\n",
-              "        \"mset\": true,\n",
-              "        \"numParts\": true,\n",
-              "        \"of\": true,\n",
-              "        \"partial\": true,\n",
-              "        \"partition\": true,\n",
-              "        \"partSize\": true,\n",
-              "        \"preImage\": true,\n",
-              "        \"quantifier\": true,\n",
-              "        \"range\": true,\n",
-              "        \"regular\": true,\n",
-              "        \"relation\": true,\n",
-              "        \"representation\": true,\n",
-              "        \"set\": true,\n",
-              "        \"size\": true,\n",
-              "        \"subset\": true,\n",
-              "        \"subsetEq\": true,\n",
-              "        \"such\": true,\n",
-              "        \"supset\": true,\n",
-              "        \"supsetEq\": true,\n",
-              "        \"surjective\": true,\n",
-              "        \"that\": true,\n",
-              "        \"together\": true,\n",
-              "        \"enum\": true,\n",
-              "        \"total\": true,\n",
-              "        \"true\": true,\n",
-              "        \"new\": true,\n",
-              "        \"type\": true,\n",
-              "        \"tuple\": true,\n",
-              "        \"union\": true,\n",
-              "        \"where\": true,\n",
-              "        \"branching\": true,\n",
-              "        \"on\": true\n",
-              "    };  \n",
-              "    var punc = \":;,.(){}[]\";\n",
-              "\n",
-              "    function tokenBase(stream, state) {\n",
-              "        var ch = stream.next();\n",
-              "        if (ch == '\"') {\n",
-              "            state.tokenize.push(tokenString);\n",
-              "            return tokenString(stream, state);\n",
-              "        }\n",
-              "        if (/[\\d\\.]/.test(ch)) {\n",
-              "            if (ch == \".\") {\n",
-              "                stream.match(/^[0-9]+([eE][\\-+]?[0-9]+)?/);\n",
-              "            } else if (ch == \"0\") {\n",
-              "                stream.match(/^[xX][0-9a-fA-F]+/) || stream.match(/^0[0-7]+/);\n",
-              "            } else {\n",
-              "                stream.match(/^[0-9]*\\.?[0-9]*([eE][\\-+]?[0-9]+)?/);\n",
-              "            }\n",
-              "            return \"number\";\n",
-              "        }\n",
-              "        if (ch == \"/\") {\n",
-              "            if (stream.eat(\"*\")) {\n",
-              "                state.tokenize.push(tokenComment);\n",
-              "                return tokenComment(stream, state);\n",
-              "            }\n",
-              "        }\n",
-              "        if (ch == \"$\") {\n",
-              "            stream.skipToEnd();\n",
-              "            return \"comment\";\n",
-              "        }\n",
-              "        if (isOperatorChar.test(ch)) {\n",
-              "            stream.eatWhile(isOperatorChar);\n",
-              "            return \"operator\";\n",
-              "        }\n",
-              "        if (punc.indexOf(ch) > -1) {\n",
-              "            return \"punctuation\";\n",
-              "        }\n",
-              "        stream.eatWhile(/[\\w\\$_\\xa1-\\uffff]/);\n",
-              "        var cur = stream.current();\n",
-              "        \n",
-              "        if (keywords.propertyIsEnumerable(cur)) {\n",
-              "            return \"keyword\";\n",
-              "        }\n",
-              "        return \"variable\";\n",
-              "    }\n",
-              "\n",
-              "    function tokenComment(stream, state) {\n",
-              "        var maybeEnd = false, ch;\n",
-              "        while (ch = stream.next()) {\n",
-              "            if (ch == \"/\" && maybeEnd) {\n",
-              "                state.tokenize.pop();\n",
-              "                break;\n",
-              "            }\n",
-              "            maybeEnd = (ch == \"*\");\n",
-              "        }\n",
-              "        return \"comment\";\n",
-              "    }\n",
-              "\n",
-              "    function tokenUntilClosingParen() {\n",
-              "        var depth = 0;\n",
-              "        return function (stream, state, prev) {\n",
-              "            var inner = tokenBase(stream, state, prev);\n",
-              "            console.log(\"untilClosing\", inner, stream.current());\n",
-              "            if (inner == \"punctuation\") {\n",
-              "                if (stream.current() == \"(\") {\n",
-              "                    ++depth;\n",
-              "                } else if (stream.current() == \")\") {\n",
-              "                    if (depth == 0) {\n",
-              "                        stream.backUp(1)\n",
-              "                        state.tokenize.pop()\n",
-              "                        return state.tokenize[state.tokenize.length - 1](stream, state)\n",
-              "                    } else {\n",
-              "                        --depth;\n",
-              "                    }\n",
-              "                }\n",
-              "            }\n",
-              "            return inner;\n",
-              "        }\n",
-              "    }\n",
-              "\n",
-              "    function tokenString(stream, state) {\n",
-              "        var escaped = false, next, end = false;\n",
-              "        while ((next = stream.next()) != null) {\n",
-              "            if (next == '(' && escaped) {\n",
-              "                state.tokenize.push(tokenUntilClosingParen());\n",
-              "                return \"string\";\n",
-              "            }\n",
-              "            if (next == '\"' && !escaped) { end = true; break; }\n",
-              "            escaped = !escaped && next == \"\\\\\";\n",
-              "        }\n",
-              "        if (end || !escaped)\n",
-              "            state.tokenize.pop();\n",
-              "        return \"string\";\n",
-              "    }\n",
-              "\n",
-              "    return {\n",
-              "        startState: function (basecolumn) {\n",
-              "            return {\n",
-              "                tokenize: []\n",
-              "            };\n",
-              "        },\n",
-              "\n",
-              "        token: function (stream, state) {\n",
-              "            if (stream.eatSpace()) return null;\n",
-              "            var style = (state.tokenize[state.tokenize.length - 1] || tokenBase)(stream, state);\n",
-              "            console.log(\"token\", style);\n",
-              "            return style;\n",
-              "        },\n",
-              "\n",
-              "        blockCommentStart: \"/*\",\n",
-              "        blockCommentEnd: \"*/\",\n",
-              "        lineComment: \"$\"\n",
-              "    };\n",
-              "});\n",
-              "\n",
-              "\n",
-              "CodeMirror.defineMIME(\"text/conjure\", \"text/conjure\");\n",
-              "\n",
-              "require(['notebook/js/codecell'], function (codecell) {\n",
-              "    codecell.CodeCell.options_default.highlight_modes['magic_text/conjure'] = { 'reg': [/%?%conjure/] };\n",
-              "    Jupyter.notebook.events.one('kernel_ready.Kernel', function () {\n",
-              "        Jupyter.notebook.get_cells().map(function (cell) {\n",
-              "            if (cell.cell_type == 'code') { cell.auto_highlight(); }\n",
-              "        });\n",
-              "    });\n",
-              "});\n",
-              "\n"
             ]
           },
-          "metadata": {}
+          "metadata": {},
+          "output_type": "display_data"
         },
         {
-          "output_type": "stream",
           "name": "stdout",
+          "output_type": "stream",
           "text": [
             "Conjure extension is loaded.\n",
             "For usage help run: %conjure_help\n"
           ]
         }
+      ],
+      "source": [
+        "!source <(curl -s https://raw.githubusercontent.com/conjure-cp/conjure-notebook/v0.0.2/scripts/install-colab.sh)\n",
+        "%load_ext conjure"
       ]
     },
     {
       "cell_type": "code",
-      "source": [
-        "%%conjure\n",
-        "letting n be 5"
-      ],
+      "execution_count": null,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/"
@@ -354,44 +129,46 @@
         "id": "KwusJPeEwu1s",
         "outputId": "ec3d4168-2451-4a08-adc3-096d38d12fef"
       },
-      "execution_count": null,
       "outputs": [
         {
-          "output_type": "execute_result",
           "data": {
             "text/plain": [
               "{}"
             ]
           },
+          "execution_count": 2,
           "metadata": {},
-          "execution_count": 2
+          "output_type": "execute_result"
         }
+      ],
+      "source": [
+        "%%conjure\n",
+        "letting n be 5"
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "## Enumeration/Generation Model"
-      ],
       "metadata": {
         "id": "Ita9c8GMvqB-"
-      }
+      },
+      "source": [
+        "## Enumeration/Generation Model"
+      ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "We define the size of the permutation to be `n` and we are trying to find all the permutations `perm` to contain the integers 1 to `n`, by specifying that it is `bijective`."
-      ],
       "metadata": {
         "id": "uekUqin9xitZ"
-      }
+      },
+      "source": [
+        "We define the size of the permutation to be `n` and we are trying to find all the permutations `perm` to contain the integers 1 to `n`, by specifying that it is `bijective`."
+      ]
     },
     {
       "cell_type": "code",
-      "source": [
-        "%%conjure\n",
-        "find perm : sequence (bijective, size n) of int(1..n)"
-      ],
+      "execution_count": null,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/"
@@ -399,38 +176,39 @@
         "id": "fS_FucWHxcQL",
         "outputId": "f71c97fb-e119-463b-c883-e0f1db1387f2"
       },
-      "execution_count": null,
       "outputs": [
         {
-          "output_type": "execute_result",
           "data": {
             "text/plain": [
               "{'perm': [1, 2, 3, 4, 5]}"
             ]
           },
+          "execution_count": 3,
           "metadata": {},
-          "execution_count": 3
+          "output_type": "execute_result"
         }
+      ],
+      "source": [
+        "%%conjure\n",
+        "find perm : sequence (bijective, size n) of int(1..n)"
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
+      "metadata": {
+        "id": "X4xBuOqPyGfP"
+      },
       "source": [
         "The idea of our approach is the property of an interval, where when sorted it creates a complete range. This can be translated to checking that the difference between the maximal and the minimal elements of the interval is not equal to the cardinality of the interval.\n",
         "\n",
         "\n",
         "We have one constraint to say that there are only intervals of length 0,1 and `n`. This constraint is defined as a matrix comprehension, which will build a matrix consisting of only boolean entries. We then check the matrix with an `and` constraint, to spot if there are any `false` entries, which would mean that we have an interval."
-      ],
-      "metadata": {
-        "id": "X4xBuOqPyGfP"
-      }
+      ]
     },
     {
       "cell_type": "code",
-      "source": [
-        "%%conjure\n",
-        "letting example be [ num | num : int(1..5), num != 3 ]"
-      ],
+      "execution_count": null,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/"
@@ -438,41 +216,36 @@
         "id": "R68A-dhzysUM",
         "outputId": "b7f25d30-e6b8-4ec3-f33e-bc6cafd14161"
       },
-      "execution_count": null,
       "outputs": [
         {
-          "output_type": "execute_result",
           "data": {
             "text/plain": [
               "{'perm': [1, 2, 3, 4, 5]}"
             ]
           },
+          "execution_count": 4,
           "metadata": {},
-          "execution_count": 4
+          "output_type": "execute_result"
         }
+      ],
+      "source": [
+        "%%conjure\n",
+        "letting example be [ num | num : int(1..5), num != 3 ]"
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "This is an example which creates a 1-dimensional matrix of `num`s where none of the entries are `3`. We allow also for `letting` statements inside the matrix comprehensions, which allow us to define intermediary statements."
-      ],
       "metadata": {
         "id": "LKPdMqnQ7PCY"
-      }
+      },
+      "source": [
+        "This is an example which creates a 1-dimensional matrix of `num`s where none of the entries are `3`. We allow also for `letting` statements inside the matrix comprehensions, which allow us to define intermediary statements."
+      ]
     },
     {
       "cell_type": "code",
-      "source": [
-        "%%conjure\n",
-        "such that\n",
-        "    and([ max(subs) - min(subs) + 1 != |subs| |\n",
-        "        i : int(1..n-1), j : int(2..n),\n",
-        "        i < j,\n",
-        "        !(i = 1 /\\ j = n),\n",
-        "        letting subs be [perm(k) | k : int(i..j)]]\n",
-        "    )"
-      ],
+      "execution_count": null,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/"
@@ -480,68 +253,72 @@
         "id": "zu4FYxB7yUoW",
         "outputId": "878d5a91-9df7-481b-a4d0-18cd65b3bb49"
       },
-      "execution_count": null,
       "outputs": [
         {
-          "output_type": "execute_result",
           "data": {
             "text/plain": [
               "{'perm': [2, 4, 1, 5, 3]}"
             ]
           },
+          "execution_count": 5,
           "metadata": {},
-          "execution_count": 5
+          "output_type": "execute_result"
         }
+      ],
+      "source": [
+        "%%conjure\n",
+        "such that\n",
+        "    and([ max(subs) - min(subs) + 1 != |subs| |\n",
+        "        i : int(1..n-1), j : int(2..n),\n",
+        "        i < j,\n",
+        "        !(i = 1 /\\ j = n),\n",
+        "        letting subs be [perm(k) | k : int(i..j)]]\n",
+        "    )"
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "We extract `i` and `j` to be the beginning and the end of the interval, and we need to make sure that `i` is less than `j` to have the right order. As we do not want to include the whole permutation as an interval, we restrict that `i` and `j` cannot be simultaneously at the respective ends of the permutation. The final line of the comprehension sets up the continuous subsequences. On the left hand side of the matrix comprehension we use the interval property that when it is turned into a sorted set it is a complete range."
-      ],
       "metadata": {
         "id": "Cf1BEeDg1glo"
-      }
+      },
+      "source": [
+        "We extract `i` and `j` to be the beginning and the end of the interval, and we need to make sure that `i` is less than `j` to have the right order. As we do not want to include the whole permutation as an interval, we restrict that `i` and `j` cannot be simultaneously at the respective ends of the permutation. The final line of the comprehension sets up the continuous subsequences. On the left hand side of the matrix comprehension we use the interval property that when it is turned into a sorted set it is a complete range."
+      ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "## Solving"
-      ],
       "metadata": {
         "id": "tvH81f_y2I_X"
-      }
+      },
+      "source": [
+        "## Solving"
+      ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "Using **n = 5**, the sample solution is `'perm': [2, 4, 1, 5, 3]`."
-      ],
       "metadata": {
         "id": "EL2YTOB52OPk"
-      }
+      },
+      "source": [
+        "Using **n = 5**, the sample solution is `'perm': [2, 4, 1, 5, 3]`."
+      ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "To find all solutions, type:"
-      ],
       "metadata": {
         "id": "S-m9cSca2kpn"
-      }
+      },
+      "source": [
+        "To find all solutions, type:"
+      ]
     },
     {
       "cell_type": "code",
-      "source": [
-        "%%conjure --number-of-solutions=all\n",
-        "such that\n",
-        "    and([ max(subs) - min(subs) + 1 != |subs| |\n",
-        "        i : int(1..n-1), j : int(2..n),\n",
-        "        i < j,\n",
-        "        !(i = 1 /\\ j = n),\n",
-        "        letting subs be [perm(k) | k : int(i..j)]]\n",
-        "    )"
-      ],
+      "execution_count": null,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/"
@@ -549,10 +326,8 @@
         "id": "eWYFmqAD2qBk",
         "outputId": "4ca16f13-36fe-40af-e5f8-f149096b4f8d"
       },
-      "execution_count": null,
       "outputs": [
         {
-          "output_type": "execute_result",
           "data": {
             "text/plain": [
               "[{'perm': [2, 4, 1, 5, 3]},\n",
@@ -563,43 +338,55 @@
               " {'perm': [4, 2, 5, 1, 3]}]"
             ]
           },
+          "execution_count": 6,
           "metadata": {},
-          "execution_count": 6
+          "output_type": "execute_result"
         }
+      ],
+      "source": [
+        "%%conjure --number-of-solutions=all\n",
+        "such that\n",
+        "    and([ max(subs) - min(subs) + 1 != |subs| |\n",
+        "        i : int(1..n-1), j : int(2..n),\n",
+        "        i < j,\n",
+        "        !(i = 1 /\\ j = n),\n",
+        "        letting subs be [perm(k) | k : int(i..j)]]\n",
+        "    )"
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "For `n be 5` you should get 6 solutions."
-      ],
       "metadata": {
         "id": "LQwpDusy21y5"
-      }
+      },
+      "source": [
+        "For `n be 5` you should get 6 solutions."
+      ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "## Checking Model with Instances"
-      ],
       "metadata": {
         "id": "i1bwy9HI29f6"
-      }
+      },
+      "source": [
+        "## Checking Model with Instances"
+      ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "What the model will tell us is that the permutation is simple (true) or not."
-      ],
       "metadata": {
         "id": "GN0CK3Ch3dRW"
-      }
+      },
+      "source": [
+        "What the model will tell us is that the permutation is simple (true) or not."
+      ]
     },
     {
       "cell_type": "code",
-      "source": [
-        "%conjure_clear"
-      ],
+      "execution_count": null,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/"
@@ -607,24 +394,22 @@
         "id": "ZM-TXupi4Crb",
         "outputId": "7db6ea45-864d-45e6-b2ff-cc0a9f37a6f9"
       },
-      "execution_count": null,
       "outputs": [
         {
-          "output_type": "stream",
           "name": "stdout",
+          "output_type": "stream",
           "text": [
             "Conjure model cleared\n"
           ]
         }
+      ],
+      "source": [
+        "%conjure_clear"
       ]
     },
     {
       "cell_type": "code",
-      "source": [
-        "%%conjure\n",
-        "letting n be 5\n",
-        "letting perm be sequence( 1, 4, 2, 5, 3)"
-      ],
+      "execution_count": null,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/"
@@ -632,33 +417,27 @@
         "id": "m--asAoP34hS",
         "outputId": "22e285f5-c529-4089-90ef-64de80414981"
       },
-      "execution_count": null,
       "outputs": [
         {
-          "output_type": "execute_result",
           "data": {
             "text/plain": [
               "{}"
             ]
           },
+          "execution_count": 8,
           "metadata": {},
-          "execution_count": 8
+          "output_type": "execute_result"
         }
+      ],
+      "source": [
+        "%%conjure\n",
+        "letting n be 5\n",
+        "letting perm be sequence( 1, 4, 2, 5, 3)"
       ]
     },
     {
       "cell_type": "code",
-      "source": [
-        "%%conjure\n",
-        "find result : bool\n",
-        "such that\n",
-        "    result = and([ max(subs) - min(subs) + 1 != |subs| |\n",
-        "        i : int(1..n-1), j : int(2..n),\n",
-        "        i < j,\n",
-        "        !(i = 1 /\\ j = n),\n",
-        "        letting subs be [perm(k) | k : int(i..j)]]\n",
-        "    )"
-      ],
+      "execution_count": null,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/"
@@ -666,34 +445,43 @@
         "id": "sA6J8xfk3HE3",
         "outputId": "39c5de0c-d436-416f-bc11-67d2bed424ed"
       },
-      "execution_count": null,
       "outputs": [
         {
-          "output_type": "execute_result",
           "data": {
             "text/plain": [
               "{'result': False}"
             ]
           },
+          "execution_count": 9,
           "metadata": {},
-          "execution_count": 9
+          "output_type": "execute_result"
         }
+      ],
+      "source": [
+        "%%conjure\n",
+        "find result : bool\n",
+        "such that\n",
+        "    result = and([ max(subs) - min(subs) + 1 != |subs| |\n",
+        "        i : int(1..n-1), j : int(2..n),\n",
+        "        i < j,\n",
+        "        !(i = 1 /\\ j = n),\n",
+        "        letting subs be [perm(k) | k : int(i..j)]]\n",
+        "    )"
       ]
     },
     {
+      "attachments": {},
       "cell_type": "markdown",
-      "source": [
-        "This is a non-simple permutation."
-      ],
       "metadata": {
         "id": "sFsXCCIl4Lbt"
-      }
+      },
+      "source": [
+        "This is a non-simple permutation."
+      ]
     },
     {
       "cell_type": "code",
-      "source": [
-        "%conjure_clear"
-      ],
+      "execution_count": null,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/"
@@ -701,24 +489,22 @@
         "id": "8IOTBuUw4ctW",
         "outputId": "3fa5a06b-1c09-4868-dac2-081fd3f55e69"
       },
-      "execution_count": null,
       "outputs": [
         {
-          "output_type": "stream",
           "name": "stdout",
+          "output_type": "stream",
           "text": [
             "Conjure model cleared\n"
           ]
         }
+      ],
+      "source": [
+        "%conjure_clear"
       ]
     },
     {
       "cell_type": "code",
-      "source": [
-        "%%conjure\n",
-        "letting n be 5\n",
-        "letting perm be sequence(2, 4, 1, 5, 3)"
-      ],
+      "execution_count": null,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/"
@@ -726,33 +512,27 @@
         "id": "m392EGci4QrA",
         "outputId": "2add3fd7-b24d-4622-d4f7-df543d8b5ce9"
       },
-      "execution_count": null,
       "outputs": [
         {
-          "output_type": "execute_result",
           "data": {
             "text/plain": [
               "{}"
             ]
           },
+          "execution_count": 11,
           "metadata": {},
-          "execution_count": 11
+          "output_type": "execute_result"
         }
+      ],
+      "source": [
+        "%%conjure\n",
+        "letting n be 5\n",
+        "letting perm be sequence(2, 4, 1, 5, 3)"
       ]
     },
     {
       "cell_type": "code",
-      "source": [
-        "%%conjure\n",
-        "find result : bool\n",
-        "such that\n",
-        "    result = and([ max(subs) - min(subs) + 1 != |subs| |\n",
-        "        i : int(1..n-1), j : int(2..n),\n",
-        "        i < j,\n",
-        "        !(i = 1 /\\ j = n),\n",
-        "        letting subs be [perm(k) | k : int(i..j)]]\n",
-        "    )"
-      ],
+      "execution_count": null,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/"
@@ -760,35 +540,20 @@
         "id": "iIJvB6FM4Zkj",
         "outputId": "f85d46dc-90c9-4bf4-ca96-da964a3792e3"
       },
-      "execution_count": null,
       "outputs": [
         {
-          "output_type": "execute_result",
           "data": {
             "text/plain": [
               "{'result': True}"
             ]
           },
+          "execution_count": 12,
           "metadata": {},
-          "execution_count": 12
+          "output_type": "execute_result"
         }
-      ]
-    },
-    {
-      "cell_type": "markdown",
-      "source": [
-        "It is important to clear the model between instances when redefining variables. If we attempt to run the test again without using `%conjure_clear`, the solutions will not reflect the instance provided in the cell."
       ],
-      "metadata": {
-        "id": "woAjLCyW4iUP"
-      }
-    },
-    {
-      "cell_type": "code",
       "source": [
         "%%conjure\n",
-        "letting n be 5\n",
-        "letting perm be sequence( 1, 4, 2, 5, 3)\n",
         "find result : bool\n",
         "such that\n",
         "    result = and([ max(subs) - min(subs) + 1 != |subs| |\n",
@@ -797,7 +562,21 @@
         "        !(i = 1 /\\ j = n),\n",
         "        letting subs be [perm(k) | k : int(i..j)]]\n",
         "    )"
-      ],
+      ]
+    },
+    {
+      "attachments": {},
+      "cell_type": "markdown",
+      "metadata": {
+        "id": "woAjLCyW4iUP"
+      },
+      "source": [
+        "It is important to clear the model between instances when redefining variables. If we attempt to run the test again without using `%conjure_clear`, the solutions will not reflect the instance provided in the cell."
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": null,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/"
@@ -805,22 +584,50 @@
         "id": "ggmtQf6q5FKE",
         "outputId": "9cbe2ec0-9be3-47de-ec3d-8da0b4800bcb"
       },
-      "execution_count": null,
       "outputs": [
         {
-          "output_type": "execute_result",
           "data": {
-            "text/plain": [
-              "'No solution'"
-            ],
             "application/vnd.google.colaboratory.intrinsic+json": {
               "type": "string"
-            }
+            },
+            "text/plain": [
+              "'No solution'"
+            ]
           },
+          "execution_count": 13,
           "metadata": {},
-          "execution_count": 13
+          "output_type": "execute_result"
         }
+      ],
+      "source": [
+        "%%conjure\n",
+        "letting n be 5\n",
+        "letting perm be sequence( 1, 4, 2, 5, 3)\n",
+        "find result : bool\n",
+        "such that\n",
+        "    result = and([ max(subs) - min(subs) + 1 != |subs| |\n",
+        "        i : int(1..n-1), j : int(2..n),\n",
+        "        i < j,\n",
+        "        !(i = 1 /\\ j = n),\n",
+        "        letting subs be [perm(k) | k : int(i..j)]]\n",
+        "    )"
       ]
     }
-  ]
-}
\ No newline at end of file
+  ],
+  "metadata": {
+    "colab": {
+      "authorship_tag": "ABX9TyPeoxDmDrpY9z9gXZGQBH/P",
+      "include_colab_link": true,
+      "provenance": []
+    },
+    "kernelspec": {
+      "display_name": "Python 3",
+      "name": "python3"
+    },
+    "language_info": {
+      "name": "python"
+    }
+  },
+  "nbformat": 4,
+  "nbformat_minor": 0
+}