docstrum_v1.ipynb

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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Simple Docstrum v1\n",
    "## Sources\n",
    "- [_The Document Spectrum for Page Layout Analysis_](https://ieeexplore.ieee.org/document/244677), Lawrence O’Gorman\n",
    "- https://inside.mines.edu/~whoff/courses/EENG510/projects/2015/Hoch.pdf\n",
    "- https://en.wikipedia.org/wiki/Document_layout_analysis#Example_of_a_bottom_up_approach\n",
    "\n",
    "\n",
    "- https://github.com/UglyToad/PdfPig\n",
    "\n",
    "## Steps\n",
    "0. Open pdf document, extract words and preprocess\n",
    "1. Estimate within-line and between-line spacing\n",
    "2. Get lines\n",
    "3. Get Paragraphs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<script type=\"text/javascript\">#!javascript\r\n",
       "if ((typeof(requirejs) !==  typeof(Function)) || (typeof(requirejs.config) !== typeof(Function))) { \r\n",
       "    let script = document.createElement(\"script\"); \r\n",
       "    script.setAttribute(\"src\", \"https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js\"); \r\n",
       "    script.onload = function(){\r\n",
       "        loadDotnetInteractiveApi();\r\n",
       "    };\r\n",
       "    document.getElementsByTagName(\"head\")[0].appendChild(script); \r\n",
       "}\r\n",
       "else {\r\n",
       "    loadDotnetInteractiveApi();\r\n",
       "}\r\n",
       "\r\n",
       "function loadDotnetInteractiveApi(){\r\n",
       "    let apiRequire = requirejs.config({context:\"dotnet-interactive.17116.62543\",paths:{dotnetInteractive:\"http://localhost:62543/resources/dotnet-interactive\"}});\r\n",
       "    apiRequire(['dotnetInteractive'], \r\n",
       "    function(api) {       \r\n",
       "        api.createDotnetInteractiveClient(\"http://localhost:62543/\", window);\r\n",
       "    },\r\n",
       "    function(error){\r\n",
       "        console.log(error);\r\n",
       "    });\r\n",
       "}</script>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "Installed package PdfPig version 0.1.2-alpha003"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#r \"nuget:PdfPig,0.1.2-alpha003\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "using UglyToad.PdfPig;\n",
    "using UglyToad.PdfPig.Content;\n",
    "using UglyToad.PdfPig.Core;\n",
    "using UglyToad.PdfPig.DocumentLayoutAnalysis;\n",
    "using UglyToad.PdfPig.DocumentLayoutAnalysis.WordExtractor;\n",
    "using XPlot.Plotly;\n",
    "using System.IO;\n",
    "using System.Linq;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 0. Open pdf document, extract words and preprocess"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "//string pdfName = @\"doc/Random 2 Columns Lists Hyph.pdf\";\n",
    "string pdfName = @\"doc/Random 2 Columns Lists Hyph - Justified.pdf\";\n",
    "int pageNo = 1;\n",
    "\n",
    "List<Word> wordsRaw = new List<Word>();\n",
    "double width = 0;\n",
    "double height = 0;\n",
    "\n",
    "using (PdfDocument document = PdfDocument.Open(pdfName))\n",
    "{\n",
    "    var page = document.GetPage(pageNo);\n",
    "    width = page.Width;\n",
    "    height = page.Height;\n",
    "    wordsRaw = page.GetWords(NearestNeighbourWordExtractor.Instance).ToList();\n",
    "}\n",
    "\n",
    "var words = new List<Word>();\n",
    "// only keep non space words\n",
    "foreach (var word in wordsRaw)\n",
    "{\n",
    "    if (string.IsNullOrWhiteSpace(word.Text.Trim())) continue;\n",
    "    words.Add(word);\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Plot words"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<div id=\"ed969a5f-fd53-4d9a-8e94-6ab990f14a57\" style=\"width: 595px; height: 841px;\"></div>\r\n",
       "<script type=\"text/javascript\">\r\n",
       "\r\n",
       "var renderPlotly = function() {\r\n",
       "    var xplotRequire = requirejs.config({context:'xplot-3.0.1',paths:{plotly:'https://cdn.plot.ly/plotly-1.49.2.min'}});\r\n",
       "    xplotRequire(['plotly'], function(Plotly) {\r\n",
       "\n",
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(br)\",\"Nam (br)\",\"ven- (br)\",\"enatis (br)\",\"metus (br)\",\"vitae (br)\",\"elementum (br)\",\"scelerisque. (br)\",\"Ali- (br)\",\"quam (br)\",\"tempor (br)\",\"sapien (br)\",\"at (br)\",\"turpis (br)\",\"posuere (br)\",\"eleifend. (br)\",\"Sed (br)\",\"placerat (br)\",\"posuere (br)\",\"nunc (br)\",\"vel (br)\",\"efficitur. (br)\",\"Quisque (br)\",\"auctor (br)\",\"felis (br)\",\"vel (br)\",\"lectus (br)\",\"dictum (br)\",\"fringilla. (br)\",\"Quisque (br)\",\"vo- (br)\",\"lutpat (br)\",\"pulvinar© (br)\",\"elit. (br)\",\"Aliquam (br)\",\"ultrices (br)\",\"feugiat (br)\",\"ali- (br)\",\"quam. (br)\",\"Vestibulum (br)\",\"ante (br)\",\"ipsum (br)\",\"primis (br)\",\"in (br)\",\"faucibus (br)\",\"orci (br)\",\"luctus (br)\",\"et (br)\",\"ultrices (br)\",\"posuere (br)\",\"cubilia (br)\",\"Curae; (br)\",\"Sus- (br)\",\"pendisse (br)\",\"imperdiet (br)\",\"ex (br)\",\"lorem, (br)\",\"porta (br)\",\"bibendum (br)\",\"pu- (br)\",\"rus (br)\",\"ultricies (br)\",\"id. (br)\",\"Integer (br)\",\"vel (br)\",\"lacus (br)\",\"sapien. (br)\",\"Nam (br)\",\"sodales (br)\",\"ante (br)\",\"eu (br)\",\"risus (br)\",\"facilisis (br)\",\"placerat. (br)\",\"Aliquam (br)\",\"suscipit (br)\",\"pulvinar (br)\",\"ultricies. (br)\",\"Aenean (br)\",\"pulvinar, (br)\",\"ex (br)\",\"ac (br)\",\"fermentum (br)\",\"egestas, (br)\",\"erat (br)\",\"nisi (br)\",\"feugiat (br)\",\"velit, (br)\",\"vitae (br)\",\"suscipit (br)\",\"tellus (br)\",\"odio (br)\",\"vitae (br)\",\"quam. (br)\",\"Morbi (br)\",\"elementum (br)\",\"sem (br)\",\"in (br)\",\"elit (br)\",\"posuere, (br)\",\"non (br)\",\"rhoncus (br)\",\"magna (br)\",\"fringilla. (br)\",\"Phasellus (br)\",\"cursus (br)\",\"in (br)\",\"dolor (br)\",\"laoreet (br)\",\"rutrum. (br)\",\"Curabitur (br)\",\"tincidunt (br)\",\"risus (br)\",\"ullamcor- (br)\",\"per, (br)\",\"vehicula (br)\",\"velit (br)\",\"at, (br)\",\"pulvinar (br)\",\"metus. (br)\",\"Donec (br)\",\"quis (br)\",\"ante (br)\",\"leo. (br)\",\"Vivamus (br)\",\"pharetra, (br)\",\"nisl (br)\",\"ac (br)\",\"vehi- (br)\",\"cula (br)\",\"tempor, (br)\",\"tellus (br)\",\"lacus (br)\",\"aliquam (br)\",\"sapien, (br)\",\"eu (br)\",\"congue (br)\",\"nibh (br)\",\"quam (br)\",\"sit (br)\",\"amet (br)\",\"odio. (br)\",\"Quisque (br)\",\"metus (br)\",\"arcu, (br)\",\"sem- (br)\",\"per (br)\",\"nec (br)\",\"consequat (br)\",\"eu, (br)\",\"pellentesque (br)\",\"vel (br)\",\"sem. (br)\",\"Sed (br)\",\"purus (br)\",\"risus, (br)\",\"tincidunt¹ (br)\",\"sit (br)\",\"amet (br)\",\"dictum (br)\",\"vitae, (br)\",\"euis- (br)\",\"mod (br)\",\"id (br)\",\"nibh. (br)\",\"Praesent (br)\",\"ultrices (br)\",\"libero (br)\",\"quis (br)\",\"enim (br)\",\"porta, (br)\",\"sit (br)\",\"amet (br)\",\"pellentesque (br)\",\"augue (br)\",\"pretium. (br)\",\"Viva- (br)\",\"mus (br)\",\"nec (br)\",\"molestie (br)\",\"nunc. (br)\",\"Donec (br)\",\"finibus (br)\",\"enim (br)\",\"nec (br)\",\"tel- (br)\",\"lus (br)\",\"laoreet (br)\",\"elementum. (br)\",\"Curabitur (br)\",\"efficitur (br)\",\"placerat (br)\",\"dolor (br)\",\"et (br)\",\"semper. (br)\",\"Morbi (br)\",\"laoreet (br)\",\"dui (br)\",\"eu (br)\",\"tortor (br)\",\"luctus, (br)\",\"nec (br)\",\"ultrices (br)\",\"do- (br)\",\"lor (br)\",\"ullamcorper. (br)\",\"Ut (br)\",\"gravida (br)\",\"sed (br)\",\"nisl (br)\",\"a (br)\",\"efficitur. (br)\",\"In (br)\",\"tincidunt (br)\",\"orci (br)\",\"a (br)\",\"condimentum (br)\",\"semper. (br)\",\"Suspendisse (br)\",\"scelerisque (br)\",\"fermentum (br)\",\"lacinia. (br)\",\"Vestibulum (br)\",\"sit (br)\",\"amet (br)\",\"ornare (br)\",\"tellus, (br)\",\"aliquet (br)\",\"euismod (br)\",\"mauris. (br)\",\"Cras (br)\",\"suscipit (br)\",\"venenatis (br)\",\"ultrices. (br)\",\"Sed (br)\",\"diam (br)\",\"erat, (br)\",\"aliquet (br)\",\"a (br)\",\"tellus (br)\",\"ut, (br)\",\"viverra (br)\",\"12º (br)\",\"ongue (br)\",\"magna. (br)\",\"Cras (br)\",\"id (br)\",\"justo (br)\",\"tortor. (br)\",\"Mauris (br)\",\"in (br)\",\"tortor (br)\",\"vulputate, (br)\",\"pellentesque (br)\",\"nisl (br)\",\"ac, (br)\",\"facilisis (br)\",\"ligula. (br)\",\"Class (br)\",\"aptent (br)\",\"taciti² (br)\",\"sociosqu (br)\",\"ad (br)\",\"li- (br)\",\"tora (br)\",\"torquent (br)\",\"per (br)\",\"conubia (br)\",\"nostra³, (br)\",\"per (br)\",\"inceptos (br)\",\"himenaeos. (br)\",\"Aliquam (br)\",\"eget (br)\",\"dolor (br)\",\"turpis. (br)\",\"Mauris (br)\",\"id (br)\",\"molestie (br)\",\"tellus. (br)\",\"Sed (br)\",\"elementum (br)\",\"molestie (br)\",\"nisi, (br)\",\"at (br)\",\"ali- (br)\",\"quet (br)\",\"sem (br)\",\"vehicula (br)\",\"nec. (br)\",\"Morbi (br)\",\"tempus (br)\",\"nulla (br)\",\"enim, (br)\",\"a (br)\",\"vulputate (br)\",\"magna (br)\",\"€51 (br)\",\"luctus (br)\",\"£66 (br)\",\"eu. (br)\",\"Fusce (br)\",\"sodales, (br)\",\"libero (br)\",\"quis (br)\",\"suscipit (br)\",\"ultrices, (br)\",\"metus (br)\",\"erat (br)\",\"auctor (br)\",\"urna, (br)\",\"sit (br)\",\"amet (br)\",\"dictum (br)\",\"arcu (br)\",\"tortor (br)\",\"eu (br)\",\"metus. (br)\",\"1. (br)\",\"Ut (br)\",\"volutpat, (br)\",\"velit (br)\",\"at (br)\",\"interdum (br)\",\"consectetur, (br)\",\"nisl (br)\",\"lorem (br)\",\"consequat (br)\",\"mauris, (br)\",\"feugiat (br)\",\"dignissim (br)\",\"tellus (br)\",\"massa (br)\",\"ut (br)\",\"nisl. (br)\",\"2. (br)\",\"Praesent (br)\",\"at (br)\",\"est (br)\",\"nisi. (br)\",\"Pellentesque (br)\",\"rutrum (br)\",\"lorem (br)\",\"sed (br)\",\"dui (br)\",\"accumsan (br)\",\"gravida. (br)\",\"3. (br)\",\"Pellentesque (br)\",\"dictum (br)\",\"nisl (br)\",\"vitae (br)\",\"urna (br)\",\"luctus, (br)\",\"congue (br)\",\"pulvinar (br)\",\"mi (br)\",\"congue. (br)\",\"Morbi (br)\",\"vestibulum (br)\",\"varius (br)\",\"ipsum (br)\",\"nec (br)\",\"molestie. (br)\",\"Proin (br)\",\"auctor (br)\",\"efficitur (br)\",\"diam (br)\",\"ut (br)\",\"luctus. (br)\",\"Phasellus (br)\",\"cursus (br)\",\"maximus (br)\",\"ultricies. (br)\",\"Mauris (br)\",\"eu (br)\",\"neque (br)\",\"ut (br)\",\"sem (br)\",\"semper (br)\",\"tempus. (br)\",\"Curabitur (br)\",\"non (br)\",\"lorem (br)\",\"eu (br)\",\"nunc (br)\",\"lobortis (br)\",\"vi- (br)\",\"verra (br)\",\"at (br)\",\"in (br)\",\"diam. (br)\",\"Pellentesque (br)\",\"euismod (br)\",\"purus (br)\",\"a (br)\",\"leo (br)\",\"lobortis (br)\",\"tempor. (br)\",\"Maecenas (br)\",\"mollis (br)\",\"ligula (br)\",\"at (br)\",\"sem (br)\",\"sus- (br)\",\"cipit (br)\",\"fringilla. (br)\",\"Mauris (br)\",\"sollicitudin (br)\",\"tincidunt (br)\",\"lectus (br)\",\"id (br)\",\"tempor. (br)\",\"Etiam (br)\",\"ut (br)\",\"nisi (br)\",\"est. (br)\"],\"mode\":\"markers\",\"marker\":{\"size\":4,\"color\":\"red\"},\"name\":\"\"}];\n",
       "            var layout = {\"title\":\"doc/Random 2 Columns Lists Hyph - Justified.pdf - Words\",\"width\":595.0,\"height\":841.0,\"showlegend\":false,\"hovermode\":\"closest\",\"xaxis\":{\"title\":\"X\",\"range\":[0.0,595.0],\"_isSubplotObj\":true},\"yaxis\":{\"title\":\"Y\",\"range\":[0.0,841.0],\"_isSubplotObj\":true}};\n",
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    "var graphs = new List<Graph.Scatter>();\n",
    "graphs.Add(new Graph.Scatter()\n",
    "{\n",
    "    x = new[] { 0, 0, width, width, 0 },\n",
    "    y = new[] { 0, height, height, 0, 0 },\n",
    "    mode = \"line\",\n",
    "    name = \"\",\n",
    "    text = \"page\",\n",
    "    marker = new Graph.Marker() { color = \"brown\" }\n",
    "});\n",
    "\n",
    "foreach (var w in words)\n",
    "{\n",
    "    graphs.Add(new Graph.Scatter()\n",
    "    {\n",
    "        x = new[] \n",
    "        { \n",
    "            w.BoundingBox.BottomLeft.X, \n",
    "            w.BoundingBox.BottomRight.X, \n",
    "            w.BoundingBox.TopRight.X, \n",
    "            w.BoundingBox.TopLeft.X,\n",
    "            w.BoundingBox.BottomLeft.X \n",
    "        },\n",
    "        y = new[]\n",
    "        { \n",
    "            w.BoundingBox.BottomLeft.Y,\n",
    "            w.BoundingBox.BottomRight.Y,\n",
    "            w.BoundingBox.TopRight.Y,\n",
    "            w.BoundingBox.TopLeft.Y,\n",
    "            w.BoundingBox.BottomLeft.Y\n",
    "        },\n",
    "        mode = \"lines\",\n",
    "        marker = new Graph.Marker() { color = \"black\" }\n",
    "    });\n",
    "}\n",
    "\n",
    "var topLefts = new Graph.Scatter()\n",
    "{\n",
    "    x = words.Select(w => w.BoundingBox.TopLeft.X),\n",
    "    y = words.Select(w => w.BoundingBox.TopLeft.Y),\n",
    "    name = \"\",\n",
    "    mode = \"markers\",\n",
    "    text = words.Select(w => w.Text + \" (tl)\"),\n",
    "    marker = new Graph.Marker() { color = \"blue\", size = 4 }\n",
    "};\n",
    "graphs.Add(topLefts);\n",
    "\n",
    "var bottomLefts = new Graph.Scatter()\n",
    "{\n",
    "    x = words.Select(w => w.BoundingBox.BottomLeft.X),\n",
    "    y = words.Select(w => w.BoundingBox.BottomLeft.Y),\n",
    "    name = \"\",\n",
    "    mode = \"markers\",\n",
    "    text = words.Select(w => w.Text + \" (bl)\"),\n",
    "    marker = new Graph.Marker() { color = \"yellow\", size = 4 }\n",
    "};\n",
    "graphs.Add(bottomLefts);\n",
    "\n",
    "var bottomRights = new Graph.Scatter()\n",
    "{\n",
    "    x = words.Select(w => w.BoundingBox.BottomRight.X),\n",
    "    y = words.Select(w => w.BoundingBox.BottomRight.Y),\n",
    "    name = \"\",\n",
    "    mode = \"markers\",\n",
    "    text = words.Select(w => w.Text + \" (br)\"),\n",
    "    marker = new Graph.Marker() { color = \"red\", size = 4 }\n",
    "\n",
    "};\n",
    "graphs.Add(bottomRights);\n",
    "\n",
    "var chart = Chart.Plot(graphs.ToArray());\n",
    "chart.WithLayout(new Layout.Layout() \n",
    "                 { \n",
    "                     title = pdfName + \" - Words\",\n",
    "                     showlegend = false,\n",
    "                     hovermode = \"closest\",\n",
    "                     width = width,\n",
    "                     height = height,\n",
    "                     xaxis = new Graph.Xaxis() {  range = new[] { 0, width } },\n",
    "                     yaxis = new Graph.Yaxis() {  range = new[] { 0, height } },\n",
    "                 });\n",
    "chart.WithXTitle(\"X\");\n",
    "chart.WithYTitle(\"Y\");\n",
    "chart.Width = (int)width;\n",
    "chart.Height = (int)height;\n",
    "display(chart);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.  Estimate within-line and between-line spacing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "/// <summary>\n",
    "/// The bounds for the angle between two words for them to have a certain type of relationship.\n",
    "/// </summary>\n",
    "public struct AngleBounds\n",
    "{\n",
    "    /// <summary>\n",
    "    /// The lower bound in degrees.\n",
    "    /// </summary>\n",
    "    public double Lower { get; }\n",
    "\n",
    "    /// <summary>\n",
    "    /// The upper bound in degrees.\n",
    "    /// </summary>\n",
    "    public double Upper { get; }\n",
    "\n",
    "    /// <summary>\n",
    "    /// Create a new <see cref=\"AngleBounds\"/>.\n",
    "    /// </summary>\n",
    "    public AngleBounds(double lowerBound, double upperBound)\n",
    "    {\n",
    "        Lower = lowerBound;\n",
    "        Upper = upperBound;\n",
    "    }\n",
    "\n",
    "    /// <summary>\n",
    "    /// Whether the bounds contain the angle.\n",
    "    /// </summary>\n",
    "    public bool Contains(double angle)\n",
    "    {\n",
    "        return angle >= Lower && angle <= Upper;\n",
    "    }\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "AngleBounds withinLine = new AngleBounds(-30, 30);\n",
    "AngleBounds betweenLine = new AngleBounds(-135, -45);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "/// <summary>\n",
    "/// Get the average distance value of the peak bucket of the histogram.\n",
    "/// </summary>\n",
    "/// <param name=\"distances\">The set of distances to average.</param>\n",
    "/// <param name=\"binLength\"></param>\n",
    "private static double? GetPeakAverageDistance(IEnumerable<double> distances, int binLength = 1)\n",
    "{\n",
    "    if (binLength <= 0)\n",
    "    {\n",
    "        throw new ArgumentException();\n",
    "    }\n",
    "    \n",
    "    var max = (int)Math.Ceiling(distances.Max());\n",
    "    if (max == 0)\n",
    "    {\n",
    "        max = binLength;\n",
    "    }\n",
    "    else\n",
    "    {\n",
    "        binLength = binLength > max ? max : binLength;\n",
    "    }\n",
    "    \n",
    "    var bins = Enumerable.Range(0, (int)Math.Ceiling(max / (double)binLength) + 1)\n",
    "        .Select(x => x * binLength)\n",
    "        .ToDictionary(x => x, _ => new List<double>());\n",
    "\n",
    "    foreach (var distance in distances)\n",
    "    {\n",
    "        var key = bins.Keys.ElementAt((int)Math.Floor(distance / binLength));\n",
    "        bins[key].Add(distance);\n",
    "    }\n",
    "\n",
    "    display(bins.ToDictionary(x => x.Key, x => Math.Round(x.Value.Count() / (double)distances.Count() * 100, 5)));\n",
    "    \n",
    "    var best = default(List<double>);\n",
    "    foreach (var bin in bins)\n",
    "    {\n",
    "        if (best == null || bin.Value.Count > best.Count)\n",
    "        {\n",
    "            best = bin.Value;\n",
    "        }\n",
    "    }\n",
    "\n",
    "    return best?.Average();\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 1.1 Within-line (between words) spacing\n",
    "For within-line spacing, the distance between the bottom left (in yellow) and bottom right (in red) point will be computed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
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distance\"}];\n",
       "            var layout = {\"title\":\"Distribution of within-line distances\",\"showlegend\":false,\"hovermode\":\"closest\",\"xaxis\":{\"title\":\"distance\",\"_isSubplotObj\":true},\"yaxis\":{\"title\":\"%\",\"_isSubplotObj\":true}};\n",
       "            Plotly.newPlot('bbe6fb82-7067-4781-a763-9f9892a637a9', data, layout);\n",
       "        \r\n",
       "});\r\n",
       "};\r\n",
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       "        renderPlotly();\r\n",
       "    };\r\n",
       "    document.getElementsByTagName(\"head\")[0].appendChild(script); \r\n",
       "}\r\n",
       "else {\r\n",
       "    renderPlotly();\r\n",
       "}\r\n",
       "</script>\r\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "KdTree<Word> kdTreeBottomLeft = new KdTree<Word>(words, w => w.BoundingBox.BottomLeft);\n",
    "\n",
    "// Create distribution\n",
    "var withinLineDistList = new List<double>();\n",
    "foreach (var candidateW in words)\n",
    "{\n",
    "    // 1.1.1 Find the 2 closest neighbours words to the candidate, using weighted euclidean distance that gives more weight to y axis.\n",
    "    // Words on the same line (same y) have more chance to be neighbours\n",
    "    // NB: might need to use a different method with rotated words\n",
    "    foreach (var n in kdTreeBottomLeft.FindNearestNeighbours(candidateW, 2, w => w.BoundingBox.BottomRight,\n",
    "                                                             (p1, p2) => Distances.WeightedEuclidean(p1, p2, 0.5)))\n",
    "    {\n",
    "        // 1.1.2 Check if the neighbour word is within the angle of the candidate\n",
    "        var angle = Distances.Angle(candidateW.BoundingBox.BottomRight, n.Item1.BoundingBox.BottomLeft);\n",
    "        if (withinLine.Contains(angle))\n",
    "        {\n",
    "            // 1.1.3 Compute the horizontal (within-line) distance between the candidate \n",
    "            // and the neighbour and add it to the within-line distances list\n",
    "            withinLineDistList.Add(Distances.Horizontal(candidateW.BoundingBox.BottomRight, n.Item1.BoundingBox.BottomLeft));\n",
    "        }\n",
    "    }\n",
    "}\n",
    "\n",
    "// Compute average peak value of distribution\n",
    "int wlBinSize = 10;\n",
    "var wlDist = GetPeakAverageDistance(withinLineDistList, wlBinSize).Value;\n",
    "\n",
    "// Plot histogram\n",
    "var histoWl = new Graph.Histogram()\n",
    "{ \n",
    "    x = withinLineDistList, \n",
    "    xbins = new Graph.Xbins()\n",
    "    { \n",
    "        start = 0,\n",
    "        end = Math.Ceiling(withinLineDistList.Max()),\n",
    "        size = wlBinSize\n",
    "    },\n",
    "    text = \"\",\n",
    "    name = \"\",\n",
    "    histnorm = \"percent\"\n",
    "};\n",
    "\n",
    "var lineWlAvg = new Graph.Scatter()\n",
    "{ \n",
    "    x = new[] { wlDist },\n",
    "    y = new[] { 0 },\n",
    "    mode = \"markers\",\n",
    "    name = \"wl distance\",\n",
    "    marker = new Graph.Marker()\n",
    "    { \n",
    "        color = \"red\",\n",
    "        size = 10\n",
    "    }\n",
    "};\n",
    "\n",
    "var plotWl = Chart.Plot(new Graph.Trace[] { histoWl, lineWlAvg });\n",
    "plotWl.WithLayout(new Layout.Layout() { title = \"Distribution of within-line distances\", showlegend = false, hovermode = \"closest\" });\n",
    "plotWl.WithXTitle(\"distance\");\n",
    "plotWl.WithYTitle(\"%\");\n",
    "display(plotWl);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 1.2 Between-line spacing\n",
    "For between-line spacing, the distance between the top left (blue) and bottom left (yellow) point will be computed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
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       "    xplotRequire(['plotly'], function(Plotly) {\r\n",
       "\n",
       "            var data = [{\"type\":\"histogram\",\"x\":[24.669140624999955,43.9921875,25.49519531249996,23.93660156249996,9.046640625000009,23.21085937500004,9.046640625000009,9.7474218750001,9.7474218750001,8.712421875000018,23.21085937500004,7.0108593749999955,7.512187499999982,7.0108593749999955,7.0324218749999545,6.973124999999982,8.067421875000036,7.0108593749999955,8.067421875000036,7.0108593749999955,7.0324218749999545,7.0108593749999955,9.171093750000068,6.890859375000105,7.0108593749999955,8.067421875000036,7.366640624999945,9.291093749999959,7.0108593749999955,7.366640624999945,9.291093749999959,8.067421875000036,8.067421875000036,7.0108593749999955,8.067421875000036,7.0108593749999955,7.0108593749999955,7.0108593749999955,8.067421875000036,9.291093749999959,7.032421875000068,8.067421875000036,7.0108593749999955,9.291093750000073,7.366640625000059,7.032421875000068,7.366640625000002,7.45828124999997,9.291093749999959,7.366640625000059,7.010859375000052,6.91242187499995,6.853124999999977,6.890859374999991,7.246640624999998,9.456796874999952,24.29109374999996,7.030859375000034,7.030859375000034,7.386640625000041,9.596796874999995,7.8466406250000205,7.8466406250000205,7.0108593749999955,7.0108593749999955,8.667421875000002,7.947421875000032,6.853125000000034,6.890859375000048,7.366640625000002,7.0324218749999545,7.246640624999998,23.691093749999993,7.947421874999975,7.246640624999998,6.890859374999991,21.373125000000016,6.890859374999991,9.291093750000016,8.067421875000036,7.366640625000059,8.067421875000036,9.291093750000016,6.973125000000039,7.032421874999983,6.973124999999982,7.366640624999974,6.973124999999982,7.0108593749999955,6.9208593750000205,6.883125000000007,6.9208593750000205,7.010859375000024,8.067421875000008,7.366640625000002,7.366640625000002,21.962109374999983,7.366640624999974,9.291093749999987,7.0108593749999955,7.032421875000011,7.032421875000011,7.010859375000024,9.291093750000016,6.97312500000001,7.0108593749999955,7.0108593749999955,7.366640625000002,7.0108593749999955,7.3921874999999915,6.890859374999991,9.171093749999997,6.8531249999999915,7.362640625000012,7.362640625000012,7.362640625000012,9.291093750000002,7.0108593749999955,7.0108593749999955,9.291093750000002,7.030859374999977,23.831093750000036,8.087421875000018,21.550859375000073,7.030859374999977,22.607421875000114,7.052421874999936,21.550859375000073,7.386640624999927,7.030859374999977,7.030859374999977,9.291093750000073,7.010859375000109,8.06742187500015,8.06742187500015,15.286640624999905,14.930859374999955,7.0108593749999955,8.067421875000036,7.0108593749999955,7.366640624999945,9.291093749999959,9.291093749999959,9.291093749999959,6.890859375000105,9.171093750000068,7.246640625000055,7.9474218750001455,9.291093749999959,9.291093749999959,7.0108593749999955,7.0108593749999955,9.291093749999959,7.0324218749999545,9.291093749999959,7.366640624999945,7.366640624999945,7.0324218749999545,7.0108593749999955,7.366640624999945,6.890859374999991,7.246640624999941,9.291093749999959,9.291093749999959,6.973124999999982,7.366640624999945,7.010859375000109,7.010859375000109,7.010859375000109,7.010859375000109,7.010859375000109,7.5121875000000955,7.5121875000000955,7.032421875000068,7.032421875000068,23.811093750000055,9.291093750000073,7.010859375000109,6.9731250000000955,7.5121875000000955,7.0324218749999545,9.291093749999959,21.766640624999923,7.0324218749999545,7.45828124999997,7.366640625000059,7.010859375000052,9.291093750000016,7.0108593749999955,7.442109374999973,9.291093749999959,7.45828124999997,7.0324218749999545,7.246640624999998,7.947421874999975,6.890859374999991,9.291093750000016,8.067421875000036,7.032421875000011,8.06742187499998,9.291093749999959,7.0108593749999955,7.366640625000002,6.91085937500003,6.91085937500003,7.0108593749999955,8.06742187499998,7.366640625000002,7.010859375000052,9.291093750000016,7.458281250000027,7.010859375000052,7.544531250000034,7.366640625000002,8.06742187499998,8.06742187499998,9.291093749999959,9.171093749999955,6.890859374999991,22.467421874999957,8.06742187499998,7.366640625000002,7.010859375000052,21.530859375000034,8.06742187499998,21.76664062499998,6.973124999999982,7.032421874999983,7.0108593749999955,7.0108593749999955,9.291093749999987,7.246640624999998,6.890859375000019,7.246640624999998,9.171093750000011,8.067421875000008,7.010859375000024,9.291093749999987,7.0108593749999955,7.032421874999983,9.291093749999987,7.0108593749999955,9.291093749999987,7.010859375000024,7.544531250000006,8.067421875000008,8.067421874999994,8.067421874999994,8.067421874999994],\"text\":\"\",\"histnorm\":\"percent\",\"xbins\":{\"start\":0.0,\"end\":44.0,\"size\":10},\"name\":\"\"},{\"type\":\"scatter\",\"x\":[7.681878220942993],\"y\":[0],\"mode\":\"markers\",\"marker\":{\"size\":10,\"color\":\"red\"},\"name\":\"bl distance\"}];\n",
       "            var layout = {\"title\":\"Distribution of between-line distances\",\"showlegend\":false,\"hovermode\":\"closest\",\"xaxis\":{\"title\":\"distance\",\"_isSubplotObj\":true},\"yaxis\":{\"title\":\"%\",\"_isSubplotObj\":true}};\n",
       "            Plotly.newPlot('12304ed2-1a16-498e-ba1c-4a23d32971f3', data, layout);\n",
       "        \r\n",
       "});\r\n",
       "};\r\n",
       "if ((typeof(requirejs) !==  typeof(Function)) || (typeof(requirejs.config) !== typeof(Function))) { \r\n",
       "    var script = document.createElement(\"script\"); \r\n",
       "    script.setAttribute(\"src\", \"https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js\"); \r\n",
       "    script.onload = function(){\r\n",
       "        renderPlotly();\r\n",
       "    };\r\n",
       "    document.getElementsByTagName(\"head\")[0].appendChild(script); \r\n",
       "}\r\n",
       "else {\r\n",
       "    renderPlotly();\r\n",
       "}\r\n",
       "</script>\r\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "// Create distribution\n",
    "var betweenLineDistList = new List<double>();\n",
    "foreach (var candidateW in words)\n",
    "{\n",
    "    // 1.2.1 Find the 2 closest neighbours words to the candidate, using weighted euclidean distance that gives more weight to x axis.\n",
    "    // Words on the same 'column' (same x) have more chance to be neighbours\n",
    "    // NB: might need to use a different method with rotated words\n",
    "    foreach (var n in kdTreeBottomLeft.FindNearestNeighbours(candidateW, 2, w => w.BoundingBox.TopLeft, (p1, p2) => Distances.WeightedEuclidean(p1, p2, 2.0)))\n",
    "    {\n",
    "        // 1.2.2 Check if the candidate words is within the angle\n",
    "        var angle = Distances.Angle(candidateW.BoundingBox.Centroid, n.Item1.BoundingBox.Centroid);\n",
    "        if (betweenLine.Contains(angle))\n",
    "        {\n",
    "            // 1.2.3 Compute the vertical (between-line) distance between the candidate \n",
    "            // and the neighbour and add it to the between-line distances list\n",
    "            betweenLineDistList.Add(Distances.Vertical(candidateW.BoundingBox.BottomLeft, n.Item1.BoundingBox.TopLeft));\n",
    "        }\n",
    "    }\n",
    "}\n",
    "\n",
    "// Compute average peak value of distribution\n",
    "int blBinSize = 10;\n",
    "var blDist = GetPeakAverageDistance(betweenLineDistList, blBinSize).Value;\n",
    "\n",
    "// Plot histogram``\n",
    "var histoBl = new Graph.Histogram() \n",
    "{ \n",
    "    x = betweenLineDistList, \n",
    "    xbins = new Graph.Xbins() \n",
    "    { \n",
    "        start = 0,\n",
    "        end = Math.Ceiling(betweenLineDistList.Max()),\n",
    "        size = blBinSize\n",
    "    },\n",
    "    text = \"\",\n",
    "    name = \"\",\n",
    "    histnorm = \"percent\" \n",
    "};\n",
    "\n",
    "var lineBlAvg = new Graph.Scatter() \n",
    "{ \n",
    "    x = new[] { blDist },\n",
    "    y = new[] { 0 },\n",
    "    mode = \"markers\",\n",
    "    name = \"bl distance\",\n",
    "    marker = new Graph.Marker() \n",
    "    { \n",
    "        color = \"red\", \n",
    "        size = 10 \n",
    "    } \n",
    "};\n",
    "\n",
    "var plotBl = Chart.Plot(new Graph.Trace[] { histoBl, lineBlAvg });\n",
    "plotBl.WithLayout(new Layout.Layout() { title = \"Distribution of between-line distances\", showlegend = false, hovermode = \"closest\" });\n",
    "plotBl.WithXTitle(\"distance\");\n",
    "plotBl.WithYTitle(\"%\");\n",
    "display(plotBl);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "maxWlDist=9.774"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "maxBlDist=9.986"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "double maxWlDist = 3.0 * wlDist; // Math.Min(3.0 * wlDist, 1.4142 * blDist); sqrt(2) * blDist\n",
    "double maxBlDist = blDist * 1.3;\n",
    "display(\"maxWlDist=\" + Math.Round(maxWlDist, 3));\n",
    "display(\"maxBlDist=\" + Math.Round( maxBlDist,3));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2. Get lines"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "var lines = new List<TextLine>();\n",
    "static double Angle(PdfPoint point1, PdfPoint point2)\n",
    "{\n",
    "    var angle = Distances.Angle(point1, point2);\n",
    "    // Angle is kept at max 90 degree to handle overlapping words\n",
    "    // TODO: check if need to use a different method with rotated words\n",
    "    return angle <= 90 ? angle : 180 - angle;\n",
    "}\n",
    "\n",
    "var groupedIndexes = Clustering.NearestNeighbours(\n",
    "    words,   // Group words into lines.\n",
    "    2,   // Use 2 candidate neighbours words when trying to build the line.\n",
    "    Distances.Euclidean,   // Use euclidian distance.\n",
    "    (_, __) => maxWlDist,   // The maximum distance between 2 words in a line is 'maxWlDist'.\n",
    "    pivot => pivot.BoundingBox.BottomRight,   // The distance will be computed between the pivot word's bottom right point and\n",
    "    candidate => candidate.BoundingBox.BottomLeft,   // the candidate neighbour word's bottom left point.\n",
    "    _ => true,   // No filter applied on the pivot word (always true).\n",
    "    (pivot, candidate) => withinLine.Contains(   // The angle between the pivot word's bottom right point and\n",
    "        Angle(pivot.BoundingBox.BottomRight,   // the candidate neighbour word's bottom left point should be\n",
    "              candidate.BoundingBox.BottomLeft) - pivot.BoundingBox.Rotation), // inside the 'withinLine' angle.\n",
    "    -1).ToList();   // Max degree of parallelism.\n",
    "\n",
    "for (var a = 0; a < groupedIndexes.Count; a++)\n",
    "{\n",
    "    lines.Add(new TextLine(groupedIndexes[a].Select(i => words[i]).ToList()));\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Plot lines"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "var graphs = new List<Graph.Scatter>();\n",
    "graphs.Add(new Graph.Scatter()\n",
    "{\n",
    "    x = new[] { 0, 0, width, width, 0 },\n",
    "    y = new[] { 0, height, height, 0, 0 },\n",
    "    mode = \"line\",\n",
    "    name = \"\",\n",
    "    text = \"page\",\n",
    "    marker = new Graph.Marker() { color = \"brown\" }\n",
    "});\n",
    "\n",
    "foreach (var p in lines)\n",
    "{\n",
    "    graphs.Add(new Graph.Scatter()\n",
    "    {\n",
    "        x = new[]\n",
    "        {\n",
    "            p.BoundingBox.BottomLeft.X, \n",
    "            p.BoundingBox.BottomRight.X, \n",
    "            p.BoundingBox.TopRight.X, \n",
    "            p.BoundingBox.TopLeft.X,\n",
    "            p.BoundingBox.BottomLeft.X \n",
    "        },\n",
    "        y = new[]\n",
    "        {\n",
    "            p.BoundingBox.BottomLeft.Y,\n",
    "            p.BoundingBox.BottomRight.Y,\n",
    "            p.BoundingBox.TopRight.Y,\n",
    "            p.BoundingBox.TopLeft.Y,\n",
    "            p.BoundingBox.BottomLeft.Y\n",
    "        },\n",
    "        text = p.Text.Count() <= 25 ? p.Text : string.Join(\"\", p.Text.Take(25)) + \"...\",\n",
    "        mode = \"lines\",\n",
    "        marker = new Graph.Marker() { color = \"red\" }\n",
    "    });\n",
    "}\n",
    "\n",
    "var chart = Chart.Plot(graphs.ToArray());\n",
    "chart.WithLayout(new Layout.Layout() \n",
    "                 { \n",
    "                     title = pdfName + \" - Lines\",\n",
    "                     showlegend = false,\n",
    "                     hovermode = \"closest\",\n",
    "                     width = width,\n",
    "                     height = height,\n",
    "                     xaxis = new Graph.Xaxis() {  range = new[] { 0, width } },\n",
    "                     yaxis = new Graph.Yaxis() {  range = new[] { 0, height } },\n",
    "                 });\n",
    "chart.WithXTitle(\"X\");\n",
    "chart.WithYTitle(\"Y\");\n",
    "chart.Width = (int)width;\n",
    "chart.Height = (int)height;\n",
    "display(chart);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3. Get paragraphs blocks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "var paragraphs = new List<TextBlock>();\n",
    "\n",
    "// We want to measure the distance between two lines using the following method:\n",
    "// - We check if two lines are overlapping horizontally.\n",
    "// - If they are overlapping, we compute the middle point (new X coordinate) of the overlapping area.\n",
    "// - We finally compute the Euclidean distance between these two middle points.\n",
    "// - If the two lines are not overlapping, the distance is set to the max distance.\n",
    "\n",
    "double euclidianOverlappingMiddleDistance(PdfLine l1, PdfLine l2)\n",
    "{\n",
    "    var left = Math.Max(l1.Point1.X, l2.Point1.X);\n",
    "    var d = (Math.Min(l1.Point2.X, l2.Point2.X) - left);\n",
    "\n",
    "    if (d < 0) return double.MaxValue; // not overlapping -> max distance\n",
    "    return Distances.Euclidean(new PdfPoint(left + (d / 2.0), l1.Point1.Y),\n",
    "                               new PdfPoint(left + (d / 2.0), l2.Point1.Y));\n",
    "}\n",
    "\n",
    "var groupedIndexes = Clustering.NearestNeighbours(\n",
    "    lines,   // Group lines into paragraphs / blocks.\n",
    "       // Use 1 candidate neighbour line when trying to build the paragraph.\n",
    "    euclidianOverlappingMiddleDistance,   // Use euclidian overlapping middle distance.\n",
    "    (_, __) => maxBlDist,   // The maximum distance between 2 lines in a paragraph is 'maxBlDist'.\n",
    "    pivot => new PdfLine(pivot.BoundingBox.BottomLeft,   // The distance will be computed between the pivot bottom line and \n",
    "                         pivot.BoundingBox.BottomRight),   // \n",
    "    candidate => new PdfLine(candidate.BoundingBox.TopLeft,   // the candidate neighbour top line.\n",
    "                             candidate.BoundingBox.TopRight),\n",
    "    _ => true,   // No filter applied on the pivot line (always true).\n",
    "    (_, __) => true,   // No other filter applied than the max dist (always true).\n",
    "    -1).ToList();   // Max degree of parallelism.\n",
    "\n",
    "for (int a = 0; a < groupedIndexes.Count; a++)\n",
    "{\n",
    "    paragraphs.Add(new TextBlock(groupedIndexes[a].Select(i => lines[i]).ToList()));\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Plot paragraphs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "ename": "Unhandled exception",
     "evalue": "(12,19): error CS0103: The name 'paragraphs' does not exist in the current context",
     "output_type": "error",
     "traceback": [
      "(12,19): error CS0103: The name 'paragraphs' does not exist in the current context"
     ]
    }
   ],
   "source": [
    "var graphs = new List<Graph.Scatter>();\n",
    "graphs.Add(new Graph.Scatter()\n",
    "{\n",
    "    x = new[] { 0, 0, width, width, 0 },\n",
    "    y = new[] { 0, height, height, 0, 0 },\n",
    "    mode = \"line\",\n",
    "    name = \"\",\n",
    "    text = \"page\",\n",
    "    marker = new Graph.Marker() { color = \"brown\" }\n",
    "});\n",
    "\n",
    "foreach (var p in paragraphs)\n",
    "{\n",
    "    graphs.Add(new Graph.Scatter()\n",
    "    {\n",
    "        x = new[] \n",
    "        { \n",
    "            p.BoundingBox.BottomLeft.X, \n",
    "            p.BoundingBox.BottomRight.X, \n",
    "            p.BoundingBox.TopRight.X, \n",
    "            p.BoundingBox.TopLeft.X,\n",
    "            p.BoundingBox.BottomLeft.X \n",
    "        },\n",
    "        y = new[]\n",
    "        { \n",
    "            p.BoundingBox.BottomLeft.Y,\n",
    "            p.BoundingBox.BottomRight.Y,\n",
    "            p.BoundingBox.TopRight.Y,\n",
    "            p.BoundingBox.TopLeft.Y,\n",
    "            p.BoundingBox.BottomLeft.Y\n",
    "        },\n",
    "        mode = \"lines\",\n",
    "        text = p.Text.Count() <= 25 ? p.Text : string.Join(\"\", p.Text.Take(25)) + \"...\",\n",
    "        marker = new Graph.Marker() { color = \"red\" }\n",
    "    });\n",
    "}\n",
    "\n",
    "var chart = Chart.Plot(graphs.ToArray());\n",
    "chart.WithLayout(new Layout.Layout() \n",
    "                 { \n",
    "                     title = pdfName + \" - Paragraphs\",\n",
    "                     showlegend = false,\n",
    "                     hovermode = \"closest\",\n",
    "                     width = width,\n",
    "                     height = height,\n",
    "                     xaxis = new Graph.Xaxis() {  range = new[] { 0, width } },\n",
    "                     yaxis = new Graph.Yaxis() {  range = new[] { 0, height } },\n",
    "                 });\n",
    "chart.WithXTitle(\"X\");\n",
    "chart.WithYTitle(\"Y\");\n",
    "chart.Width = (int)width;\n",
    "chart.Height = (int)height;\n",
    "display(chart);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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