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RuleThreshold
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# PMR: Rule support confidence and lift"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Setup"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Add and import dependencies"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Starting download from https://brunelvis.org/jar/spark-kernel-brunel-all-2.4.jar\n",
"Finished download of spark-kernel-brunel-all-2.4.jar\n"
]
}
],
"source": [
"%AddJar -magic https://brunelvis.org/jar/spark-kernel-brunel-all-2.4.jar"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import org.apache.spark.sql.functions.{col, lit, udf}\n",
"import org.apache.spark.sql.types._"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Constants"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"// File locations, defines etc.\n",
"val ruleFileLocation = \"/tmp/pmThresholdsExperiment/pa-rules.parquet\"\n",
"val prefix = \"/tmp/pmThresholdsExperiment\"\n",
"val ruleFileSmallThresholdLocation = \"/tmp/pmThresholdsExperimentTwo/pa-rules_distinct.parquet\"\n",
"\n",
"// Literals\n",
"val RULEIDCOL = \"ruleid\"\n",
"val ANTECEDENTCOL = \"antecedent\"\n",
"val CONSEQUENTCOL = \"consequent\"\n",
"val SUPPORTCOL = \"support\"\n",
"val CONFIDENCECOL = \"confidence\"\n",
"val LIFTCOL = \"lift\"\n",
"val EVENTTRAINCOUNTCOL = \"traineventscount\"\n",
"val ITEMSETFREQCOL = \"itemsetfreq\"\n",
"val ANTECEDENTFREQCOL = \"antecedentfreq\"\n",
"val CONSEQUENTTFREQCOL = \"consequentfreq\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Load the raw rules, calculating suport, confidence and lift"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"val rulesRaw = spark.read.parquet(ruleFileSmallThresholdLocation)\n",
"val numTrainEvents = rulesRaw.select(col(EVENTTRAINCOUNTCOL)).distinct.first.getLong(0)\n",
"val rulesWithSupportConfidenceLift = rulesRaw.select(\n",
"// col(RULEIDCOL),\n",
" col(ANTECEDENTCOL),\n",
" col(CONSEQUENTCOL),\n",
" (col(ITEMSETFREQCOL).cast(DoubleType) / col(EVENTTRAINCOUNTCOL)).as(SUPPORTCOL),\n",
" (col(ITEMSETFREQCOL).cast(DoubleType) / col(ANTECEDENTFREQCOL)).as(CONFIDENCECOL),\n",
" ((col(ITEMSETFREQCOL) * col(EVENTTRAINCOUNTCOL)).cast(DoubleType) /\n",
" (col(ANTECEDENTFREQCOL) * col(CONSEQUENTTFREQCOL))).as(LIFTCOL)\n",
" )"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Graphical exploration\n",
"Explore the data in terms of support, confidence and lift distribution initially"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### A small sample of the data"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[antecedent: array<string>, consequent: array<string> ... 3 more fields]"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"val ruleSample = rulesWithSupportConfidenceLift.sample(false, 0.0001)\n",
"ruleSample.cache"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"text/html": [
"\n",
" <link rel=\"stylesheet\" type=\"text/css\" href=\"https://brunelvis.org/js/brunel.2.4.css\" charset=\"utf-8\">\n",
" <link rel=\"stylesheet\" type=\"text/css\" href=\"https://brunelvis.org/js/sumoselect.css\" charset=\"utf-8\">\n",
" <style> #visid12f7260d-beb4-4a41-af8e-cee32a77cee3.brunel .chart1 .element1 .element {\n",
"\topacity: 0.25;\n",
"} </style>\n",
" <div id=\"controlsId72ba56d5-3524-4f43-aac7-f0a12f85855f\" class=\"brunel\"/>\n",
"<svg id=\"visid12f7260d-beb4-4a41-af8e-cee32a77cee3\" width=\"800\" height=\"600\"></svg>\n",
"\n",
"<script>\n",
"require.config({\n",
" waitSeconds: 60,\n",
" paths: {\n",
" 'd3': '//cdnjs.cloudflare.com/ajax/libs/d3/4.2.1/d3.min',\n",
" 'topojson' : '//cdnjs.cloudflare.com/ajax/libs/topojson/1.6.20/topojson.min',\n",
" 'brunel' : 'https://brunelvis.org/js/brunel.2.4.min',\n",
" 'brunelControls' : 'https://brunelvis.org/js/brunel.controls.2.4.min'\n",
" },\n",
"\n",
" shim: {\n",
" 'brunel' : {\n",
" exports: 'BrunelD3',\n",
" deps: ['d3', 'topojson'],\n",
" init: function() {\n",
" return {\n",
" BrunelD3 : BrunelD3,\n",
" BrunelData : BrunelData\n",
" }\n",
" }\n",
" },\n",
" 'brunelControls' : {\n",
" exports: 'BrunelEventHandlers',\n",
" init: function() {\n",
" return {\n",
" BrunelEventHandlers: BrunelEventHandlers,\n",
" BrunelJQueryControlFactory: BrunelJQueryControlFactory\n",
" }\n",
" }\n",
" }\n",
"\n",
" }\n",
"\n",
" });\n",
"\n",
" require([\"d3\"], function(d3) {\n",
" require([\"brunel\", \"brunelControls\"], function(brunel, brunelControls) {\n",
"\n",
" function BrunelVis(visId) {\n",
" \"use strict\"; // strict mode\n",
" var datasets = [], // array of datasets for the original data\n",
" pre = function(d, i) { return d }, // default pre-process does nothing\n",
" post = function(d, i) { return d }, // default post-process does nothing\n",
" transitionTime = 200, // transition time for animations\n",
" charts = [], // the charts in the system\n",
" vis = d3.select('#' + visId).attr('class', 'brunel'); // the SVG container\n",
"\n",
" BrunelD3.addDefinitions(vis); // ensure standard symbols present\n",
"\n",
" // Define chart #1 in the visualization //////////////////////////////////////////////////////////\n",
"\n",
" charts[0] = function(parentNode, filterRows) {\n",
" var geom = BrunelD3.geometry(parentNode || vis.node(), 0, 0, 1, 1, 5, 65, 37, 93),\n",
" elements = []; // array of elements in this chart\n",
"\n",
" // Define groups for the chart parts ///////////////////////////////////////////////////////////\n",
"\n",
" var chart = vis.append('g').attr('class', 'chart1')\n",
" .attr('transform','translate(' + geom.chart_left + ',' + geom.chart_top + ')');\n",
" var overlay = chart.append('g').attr('class', 'element').attr('class', 'overlay');\n",
" var zoom = d3.zoom().scaleExtent([1/3,3]);\n",
" var zoomNode = overlay.append('rect').attr('class', 'overlay')\n",
" .attr('x', geom.inner_left).attr('y', geom.inner_top)\n",
" .attr('width', geom.inner_rawWidth).attr('height', geom.inner_rawHeight)\n",
" .style('cursor', 'move').call(zoom)\n",
" .node();\n",
" zoomNode.__zoom = d3.zoomIdentity;\n",
" chart.append('rect').attr('class', 'background').attr('width', geom.chart_right-geom.chart_left).attr('height', geom.chart_bottom-geom.chart_top);\n",
" var interior = chart.append('g').attr('class', 'interior zoomNone')\n",
" .attr('transform','translate(' + geom.inner_left + ',' + geom.inner_top + ')')\n",
" .attr('clip-path', 'url(#clip_visid12f7260d-beb4-4a41-af8e-cee32a77cee3_chart1_inner)');\n",
" interior.append('rect').attr('class', 'inner').attr('width', geom.inner_width).attr('height', geom.inner_height);\n",
" var gridGroup = interior.append('g').attr('class', 'grid');\n",
" var axes = chart.append('g').attr('class', 'axis')\n",
" .attr('transform','translate(' + geom.inner_left + ',' + geom.inner_top + ')');\n",
" var legends = chart.append('g').attr('class', 'legend')\n",
" .attr('transform','translate(' + (geom.chart_right-geom.chart_left - 3) + ',' + 0 + ')');\n",
" vis.select('defs').append('clipPath').attr('id', 'clip_visid12f7260d-beb4-4a41-af8e-cee32a77cee3_chart1_inner').append('rect')\n",
" .attr('x', 0).attr('y', 0)\n",
" .attr('width', geom.inner_rawWidth+1).attr('height', geom.inner_rawHeight+1);\n",
"\n",
" // Scales //////////////////////////////////////////////////////////////////////////////////////\n",
"\n",
" var scale_x = d3.scaleSqrt().domain([-0.2, 1.2000001])\n",
" .range([0, geom.inner_width]);\n",
" var scale_inner = d3.scaleLinear().domain([0,1])\n",
" .range([-0.5, 0.5]);\n",
" var scale_y = d3.scaleLog().domain([1.0e-7, 1.0000001])\n",
" .range([geom.inner_height, 0]);\n",
" var base_scales = [scale_x, scale_y]; // untransformed original scales\n",
"\n",
" // Axes ////////////////////////////////////////////////////////////////////////////////////////\n",
"\n",
" axes.append('g').attr('class', 'x axis')\n",
" .attr('transform','translate(0,' + geom.inner_rawHeight + ')')\n",
" .attr('clip-path', 'url(#clip_visid12f7260d-beb4-4a41-af8e-cee32a77cee3_chart1_haxis)');\n",
" vis.select('defs').append('clipPath').attr('id', 'clip_visid12f7260d-beb4-4a41-af8e-cee32a77cee3_chart1_haxis').append('polyline')\n",
" .attr('points', '-1,-1000, -1,-1 -5,5, -1000,5, -100,1000, 10000,1000 10000,-1000');\n",
" axes.select('g.axis.x').append('text').attr('class', 'title').text('confidence').style('text-anchor', 'middle')\n",
" .attr('x',geom.inner_rawWidth/2)\n",
" .attr('y', geom.inner_bottom - 2.0).attr('dy','-0.27em');\n",
" axes.append('g').attr('class', 'y axis')\n",
" .attr('clip-path', 'url(#clip_visid12f7260d-beb4-4a41-af8e-cee32a77cee3_chart1_vaxis)');\n",
" vis.select('defs').append('clipPath').attr('id', 'clip_visid12f7260d-beb4-4a41-af8e-cee32a77cee3_chart1_vaxis').append('polyline')\n",
" .attr('points', '-1000,-10000, 10000,-10000, 10000,' + (geom.inner_rawHeight+1) + ', -1,' + (geom.inner_rawHeight+1) + ', -1,' + (geom.inner_rawHeight+5) + ', -1000,' + (geom.inner_rawHeight+5) );\n",
" axes.select('g.axis.y').append('text').attr('class', 'title').text('support').style('text-anchor', 'middle')\n",
" .attr('x',-geom.inner_rawHeight/2)\n",
" .attr('y', 4-geom.inner_left).attr('dy', '0.7em').attr('transform', 'rotate(270)');\n",
"\n",
" var axis_bottom = d3.axisBottom(scale_x).ticks(Math.min(10, Math.round(geom.inner_rawWidth / 33.0)));\n",
" var axis_left = d3.axisLeft(scale_y).ticks(Math.min(10, Math.round(geom.inner_rawHeight / 20)), ',');\n",
"\n",
" function buildAxes(time) {\n",
" var axis_x = axes.select('g.axis.x');\n",
" BrunelD3.transition(axis_x, time).call(axis_bottom.scale(scale_x));\n",
" var axis_y = axes.select('g.axis.y');\n",
" BrunelD3.transition(axis_y, time).call(axis_left.scale(scale_y));\n",
" }\n",
" zoom.on('zoom', function(t, time) {\n",
" t = t ||BrunelD3.restrictZoom(d3.event.transform, geom, this);\n",
" scale_x = t.rescaleX(base_scales[0]);\n",
" scale_y = t.rescaleY(base_scales[1]);\n",
" zoomNode.__zoom = t;\n",
" interior.attr('class', 'interior ' + BrunelD3.zoomLabel(t.k));;\n",
" build(time || -1);\n",
" });\n",
"\n",
" // Define element #1 ///////////////////////////////////////////////////////////////////////////\n",
"\n",
" elements[0] = function() {\n",
" var original, processed, // data sets passed in and then transformed\n",
" element, data, // brunel element information and brunel data\n",
" selection, merged; // d3 selection and merged selection\n",
" var elementGroup = interior.append('g').attr('class', 'element1'),\n",
" main = elementGroup.append('g').attr('class', 'main'),\n",
" labels = BrunelD3.undoTransform(elementGroup.append('g').attr('class', 'labels').attr('aria-hidden', 'true'), elementGroup);\n",
"\n",
" function makeData() {\n",
" original = datasets[0];\n",
" if (filterRows) original = original.retainRows(filterRows);\n",
" processed = pre(original, 0);\n",
" processed = post(processed, 0);\n",
" var f0 = processed.field('confidence'),\n",
" f1 = processed.field('support'),\n",
" f2 = processed.field('lift'),\n",
" f3 = processed.field('#row'),\n",
" f4 = processed.field('#selection');\n",
" var keyFunc = function(d) { return f3.value(d) };\n",
" data = {\n",
" confidence: function(d) { return f0.value(d.row) },\n",
" support: function(d) { return f1.value(d.row) },\n",
" lift: function(d) { return f2.value(d.row) },\n",
" $row: function(d) { return f3.value(d.row) },\n",
" $selection: function(d) { return f4.value(d.row) },\n",
" confidence_f: function(d) { return f0.valueFormatted(d.row) },\n",
" support_f: function(d) { return f1.valueFormatted(d.row) },\n",
" lift_f: function(d) { return f2.valueFormatted(d.row) },\n",
" $row_f: function(d) { return f3.valueFormatted(d.row) },\n",
" $selection_f: function(d) { return f4.valueFormatted(d.row) },\n",
" _split: function(d) { return f2.value(d.row) },\n",
" _key: keyFunc,\n",
" _rows: BrunelD3.makeRowsWithKeys(keyFunc, processed.rowCount())\n",
" };\n",
" }\n",
" // Aesthetic Functions\n",
" var scale_color = d3.scaleLog().domain([0.0009112, 0.0077443, 0.065821, 0.5594284, 4.754718, 40.411502, 343.46716, 2919.2107, 24811.08, 210875.39])\n",
" .interpolate(d3.interpolateHcl)\n",
" .range([ '#FFFFFF', '#FFE3E3', '#FFC6C6', '#FFAAAA', '#FF8E8E', '#FF7171', \n",
" '#FF5555', '#FF3939', '#FF1C1C', '#FF0000']);\n",
" var color = function(d) { var c = data.lift(d); return c!=null ? scale_color(c) : null };\n",
" legends._legend = legends._legend || { title: ['lift'], \n",
" ticks: [1000000, 100000, 10000, 1000, 100, 10, 1, 0.1, 0.01, 0.001, 0.0001]};\n",
" legends._legend.color = scale_color;\n",
"\n",
" // Build element from data ///////////////////////////////////////////////////////////////////\n",
"\n",
" function build(transitionMillis) {\n",
" element = elements[0];\n",
" var w = geom.default_point_size;\n",
" var x = function(d) { return scale_x(data.confidence(d))};\n",
" var h = geom.default_point_size;\n",
" var y = function(d) { return scale_y(data.support(d))};\n",
"\n",
" // Define selection entry operations\n",
" function initialState(selection) {\n",
" selection\n",
" .attr('class', 'element point filled')\n",
" .style('pointer-events', 'none')\n",
" .attr('cx',function(d) { return scale_x(data.confidence(d))})\n",
" .attr('cy',function(d) { return scale_y(data.support(d))})\n",
" .attr('r',0)\n",
" }\n",
"\n",
" // Define selection update operations on merged data\n",
" function updateState(selection) {\n",
" selection\n",
" .attr('cx',function(d) { return scale_x(data.confidence(d))})\n",
" .attr('cy',function(d) { return scale_y(data.support(d))})\n",
" .attr('r',geom.default_point_size / 2)\n",
" .filter(BrunelD3.hasData) // following only performed for data items\n",
" .style('fill', color);\n",
" }\n",
"\n",
" // Define labeling for the selection\n",
" function label(selection, transitionMillis) {\n",
" }\n",
" // Create selections, set the initial state and transition updates\n",
" selection = main.selectAll('.element').data(data._rows, function(d) { return d.key });\n",
" var added = selection.enter().append('circle');\n",
" merged = selection.merge(added);\n",
" initialState(added);\n",
" selection.filter(BrunelD3.hasData)\n",
" .classed('selected', BrunelD3.isSelected(data))\n",
" .filter(BrunelD3.isSelected(data)).raise();\n",
" updateState(BrunelD3.transition(merged, transitionMillis));\n",
"\n",
" selection.exit().each(function() { this.remove(); BrunelD3.removeLabels(this)} );\n",
" }\n",
"\n",
" return {\n",
" data: function() { return processed },\n",
" original: function() { return original },\n",
" internal: function() { return data },\n",
" selection: function() { return merged },\n",
" makeData: makeData,\n",
" build: build,\n",
" chart: function() { return charts[0] },\n",
" group: function() { return elementGroup },\n",
" fields: {\n",
" x: ['confidence'],\n",
" y: ['support'],\n",
" key: ['#row'],\n",
" color: ['lift']\n",
" }\n",
" };\n",
" }();\n",
"\n",
" function build(time, noData) {\n",
" var first = elements[0].data() == null;\n",
" if (first) time = 0; // no transition for first call\n",
" buildAxes(time);\n",
" if ((first || time > -1) && !noData) {\n",
" elements[0].makeData();\n",
" BrunelD3.addLegend(legends, legends._legend);\n",
" }\n",
" elements[0].build(time);\n",
" }\n",
"\n",
" // Expose the following components of the chart\n",
" return {\n",
" elements : elements,\n",
" interior : interior,\n",
" scales: {x:scale_x, y:scale_y},\n",
" zoom: function(params, time) {\n",
" if (params) zoom.on('zoom').call(zoomNode, params, time);\n",
" return d3.zoomTransform(zoomNode);\n",
" },\n",
" build : build\n",
" };\n",
" }();\n",
"\n",
" function setData(rowData, i) { datasets[i||0] = BrunelD3.makeData(rowData) }\n",
" function updateAll(time) { charts.forEach(function(x) {x.build(time || 0)}) }\n",
" function buildAll() {\n",
" for (var i=0;i<arguments.length;i++) setData(arguments[i], i);\n",
" updateAll(transitionTime);\n",
" }\n",
"\n",
" return {\n",
" dataPreProcess: function(f) { if (f) pre = f; return pre },\n",
" dataPostProcess: function(f) { if (f) post = f; return post },\n",
" data: function(d,i) { if (d) setData(d,i); return datasets[i||0] },\n",
" visId: visId,\n",
" build: buildAll,\n",
" rebuild: updateAll,\n",
" charts: charts\n",
" }\n",
"}\n",
"\n",
"// Data Tables /////////////////////////////////////////////////////////////////////////////////////\n",
"\n",
"var table1 = {\n",
" summarized: false,\n",
" names: ['confidence', 'support', 'lift'], \n",
" options: ['numeric', 'numeric', 'numeric'], \n",
" rows: [[0.8601528, 0.0000159, 7.0838823], [0.1993119, 0.0000024, 0.3862243],\n",
" [0.0001998, 0.0000689, 1.8280797], [0.0000033, 0.0000017, 1.9377889],\n",
" [0.0000141, 0.0000012, 5.1185872], [1, 0.0000034, 1.9640407], [0.0015985, 0.0000699, 22.87596],\n",
" [0.0000047, 0.0000027, 1.7318352], [0.2436258, 0.000022, 0.6233716],\n",
" [0.0001618, 0.0000134, 11.917427], [0.0000466, 0.0000099, 1.4874292],\n",
" [0.0000834, 0.0000052, 9.4630803], [0.000007, 0.000004, 1.7318352],\n",
" [0.0001761, 0.0000124, 1.5133694], [0.0000162, 0.0000056, 0.1825502],\n",
" [0.0000687, 0.0000146, 4.671246], [0.0000148, 0.0000076, 1.9377889],\n",
" [0.8010724, 0.0000011, 8.4507111], [0.0035464, 0.0000048, 6.7658904],\n",
" [0.1043228, 0.0000037, 2.6271843], [0.8480257, 0.0002279, 1.4686407],\n",
" [0.0064542, 0.0000036, 0.3360944], [0.0012745, 0.0000016, 0.3548935],\n",
" [0.0000042, 0.0000021, 1.9530158], [0.0000252, 0.0000055, 4.5769123],\n",
" [0.7328812, 0.0000051, 7.7433428], [0.7219684, 0.0000016, 1.8047485],\n",
" [0.0000025, 0.0000015, 1.7318352], [0.9601574, 0.0000015, 3.8415466],\n",
" [0.0017038, 0.0002048, 1.8364304], [0.0147671, 0.0000135, 0.7892817],\n",
" [0.0003088, 0.000017, 1.1564157], [0.0016009, 0.0000445, 0.8107517], [1, 0.0000035, 1.530578],\n",
" [0.0000548, 0.0000047, 3.9758238], [0.3634097, 0.0000023, 4.2419181],\n",
" [0.0005793, 0.0000168, 13.560088], [0.1534248, 0.0002233, 12.300261],\n",
" [0.9996044, 0.0000403, 1.9632637], [1, 0.000001, 1.7318352], [0.0002435, 0.0001003, 2.0831022],\n",
" [0.6504148, 0.0001043, 1.3487935], [1, 0.0001789, 2.4293534], [0.0006413, 0.0000501, 2.7511621],\n",
" [0.3902932, 0.0000547, 4.1654948], [0.0000119, 0.0000041, 1.9564742],\n",
" [0.004089, 0.0005687, 0.8307082], [0.7797409, 0.000002, 9.9580284],\n",
" [0.000089, 0.0000514, 1.7317074], [0.0000296, 0.0000034, 7.3523488],\n",
" [0.6525662, 0.0000115, 1.6312596], [0.0000142, 0.0000037, 2.1909545],\n",
" [0.0000045, 0.0000018, 1.2610245], [0.0016283, 0.0000022, 2.9763598],\n",
" [0.029087, 0.0000195, 0.6549953], [0.028707, 0.0000548, 51.558687],\n",
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" [0.0000467, 0.000003, 1.4633466], [0.0000982, 0.0000357, 2.3778477],\n",
" [0.8559464, 0.0000016, 11.843851], [0.0000032, 0.0000016, 1.9377889],\n",
" [0.0089447, 0.0000134, 0.1861392], [0.6002014, 0.0000032, 7.7926551],\n",
" [0.0001169, 0.0000425, 2.1385257], [0.0000095, 0.0000038, 2.3089327],\n",
" [0.0242383, 0.0000023, 0.7816562], [0.0030194, 0.0000037, 11.810795],\n",
" [0.4588684, 0.0000025, 9.7315705], [0.7627471, 0.0000022, 1.5817419],\n",
" [0.0349859, 0.0000577, 0.5564679], [0.9477563, 0.0000033, 2.3691646],\n",
" [0.7253008, 0.000003, 6.9538831], [0.0000062, 0.0000018, 2.8581478],\n",
" [0.7548198, 0.0000014, 2.9139256], [0.7184015, 0.0000023, 6.3084567],\n",
" [0.0000323, 0.000003, 5.2943021], [0.9950556, 0.0000012, 59803.979],\n",
" [0.9785424, 0.000002, 11.81887], [0.6630207, 0.0000022, 1.6964881],\n",
" [0.000405, 0.0000476, 8.3892173], [0.000008, 0.000002, 4.0009551],\n",
" [0.104268, 0.0001471, 1.1610206], [0.0061641, 0.0001211, 0.9937176],\n",
" [0.0141728, 0.0001754, 2.236191], [0.9899488, 0.000004, 1.5151939],\n",
" [0.2867229, 0.0000212, 9.2464791], [0.0000208, 0.0000015, 14.193767],\n",
" [0.0001141, 0.0000554, 0.6094406], [0.0749112, 0.0000025, 0.9144834],\n",
" [0.000042, 0.000002, 0.5768516], [0.3747767, 0.0000312, 1.4994648],\n",
" [0.4668853, 0.0000153, 2.0512883], [0.3434002, 0.000003, 1.7386131],\n",
" [0.0000509, 0.0000044, 1.0780269], [0.0071041, 0.0000025, 6.0928884],\n",
" [0.0000722, 0.0000065, 0.4404379], [0.0004972, 0.0000064, 0.715819],\n",
" [0.5224811, 0.0000036, 4.3458273], [0.257381, 0.0000022, 0.49875],\n",
" [0.0000399, 0.0000084, 1.2747299], [0.0068585, 0.0002735, 2.7413586],\n",
" [0.9955402, 0.000021, 2.0203804], [0.0276938, 0.0000022, 12.509848],\n",
" [0.5730484, 0.0000316, 6.3051067], [0.0000561, 0.0000011, 1.1410937],\n",
" [0.6386575, 0.0001307, 2.1548139], [0.0518173, 0.0000017, 3.2813136], [1, 0.0000292, 3.7946833],\n",
" [0.0007281, 0.0000185, 29.832754], [0.0000596, 0.0000012, 13.108376],\n",
" [0.7744565, 0.0000091, 8.0163802], [0.0000027, 0.0000013, 1.9616706],\n",
" [0.0197743, 0.000001, 0.7091429], [0.6505516, 0.0000015, 4.9103699],\n",
" [0.0000834, 0.0000035, 4.0760415], [0.0359723, 0.0027677, 11.717476],\n",
" [0.0699711, 0.000001, 2.356819], [0.3792565, 0.000009, 0.7349191],\n",
" [0.0000079, 0.000004, 1.9530158], [1, 0.0000025, 154.61046], [0.0000175, 0.0000052, 2.4022067],\n",
" [0.9994778, 0.0000029, 1.936777], [0.0000039, 0.0000012, 2.7409071],\n",
" [0.0007324, 0.0000213, 9.4539341], [0.074889, 0.000002, 1.7322719],\n",
" [0.0000031, 0.0000011, 2.236383], [0.1066431, 0.0000011, 2.43959],\n",
" [0.6964068, 0.0000017, 2.3076291], [0.8601645, 0.0000017, 1.7837605],\n",
" [0.2384742, 0.0000022, 23561.786], [0.0000921, 0.0000136, 6.7650847]]\n",
"};\n",
"\n",
"// Call Code to Build the system ///////////////////////////////////////////////////////////////////\n",
"\n",
"var v = new BrunelVis('visid12f7260d-beb4-4a41-af8e-cee32a77cee3');\n",
"var eventHandler = BrunelEventHandlers( v);\n",
"eventHandler.make_filter_handler( {\"support\":{\"filter_type\":\"range\",\"filter\":{\"min\":1.0027925405603527E-6,\"max\":0.14183563610986516},\"datasetIndex\":0,\"keepMissing\":false},\"confidence\":{\"filter_type\":\"range\",\"filter\":{\"min\":1.8785477227629706E-6,\"max\":1.0},\"datasetIndex\":0,\"keepMissing\":false},\"lift\":{\"filter_type\":\"range\",\"filter\":{\"min\":9.111793428749814E-4,\"max\":3.0},\"datasetIndex\":0,\"keepMissing\":false}});\n",
"v.build(table1);\n",
"\n",
"// Create and wire controls ////////////////////////////////////////////////////////////////////////\n",
"\n",
"$(function() {\n",
" $( '#controlsId72ba56d5-3524-4f43-aac7-f0a12f85855f').append( BrunelJQueryControlFactory .make_range_slider( 'visid12f7260d-beb4-4a41-af8e-cee32a77cee3', 0, 'support', 'support', false, null, null, v.data(null, 0).field( 'support'), false, null, null));\n",
" $( '#controlsId72ba56d5-3524-4f43-aac7-f0a12f85855f').append( BrunelJQueryControlFactory .make_range_slider( 'visid12f7260d-beb4-4a41-af8e-cee32a77cee3', 0, 'confidence', 'confidence', false, null, null, v.data(null, 0).field( 'confidence'), false, null, null));\n",
" $( '#controlsId72ba56d5-3524-4f43-aac7-f0a12f85855f').append( BrunelJQueryControlFactory .make_range_slider( 'visid12f7260d-beb4-4a41-af8e-cee32a77cee3', 0, 'lift', 'lift', false, 0.0009112, 3, v.data(null, 0).field( 'lift'), false, null, null));\n",
"\n",
"});\n",
"\n",
" \"\"\n",
" });\n",
" });\n",
" </script>"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%%brunel data('ruleSample') x(confidence) y(support) point color(lift:red) style(\"opacity:0.25\") filter(support, confidence, lift:0-3) :: width=800, height=600"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"17368962"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"val ruleCount = rulesWithSupportConfidenceLift.count\n",
"ruleCount"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can see from the above that there is far to much data to plot."
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Array(0.0, 1.0E-6, 2.0E-6, 3.0E-6, 4.0E-6, 5.0E-6, 5.0E-6, 6.0E-6, 8.0E-6, 9.0E-6, 1.0E-5, 1.0E-5, 1.1E-4, 2.1E-4, 3.1E-4, 4.1E-4, 5.1E-4, 6.1E-4, 7.1E-4, 8.1E-4, 9.1E-4, 0.001, 0.002, 0.003, 0.004, 0.005, 0.006, 0.007, 0.008, 0.009, 0.01, 0.011, 0.012, 0.013, 0.014, 0.015, 0.016, 0.017, 0.018, 0.019, 0.02, 0.021, 0.022, 0.023, 0.024, 0.025, 0.026, 0.027, 0.028, 0.029, 0.03, 0.031, 0.032, 0.033, 0.034, 0.035, 0.036, 0.037, 0.038, 0.039, 0.04, 0.041, 0.042, 0.043, 0.044, 0.045, 0.046, 0.047, 0.048, 0.049, 0.05, 0.051, 0.052, 0.053, 0.054, 0.055, 0.056, 0.057, 0.058, 0.059, 0.06, 0.061, 0.062, 0.063, 0.064, 0.065, 0.066, 0.067, 0.068, 0.069, 0.07, 0.071, 0.072, 0.073, 0.074, 0.075, 0.076, 0.077, 0.078, 0.079, 0.08, 0.081, 0.082, 0.083, 0.084, 0.085, 0.086, 0.087, 0...."
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"// Create the buckets in steps\n",
"val supBuckets = (\n",
" (0.0 to 0.00001 by 0.000001) ++ \n",
" (0.00001 to 0.001 by 0.0001) ++ \n",
" (0.001 to 1.0 by 0.001)\n",
").toArray.map( x => x.*(1000000).intValue.toDouble./(1000000))\n",
"supBuckets"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"// Make an RDD of support\n",
"val supCount = {\n",
" val s = spark.implicits\n",
" import s._\n",
" rulesWithSupportConfidenceLift.\n",
" select(col(SUPPORTCOL)).\n",
" map(_.getDouble(0)).\n",
" rdd.histogram(buckets = supBuckets, evenBuckets=false)\n",
"}\n"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [],
"source": [
"val supLabels = supBuckets.init.zipWithIndex.\n",
"map{case(x,i) => s\"${x}-${supBuckets(i+1)}\"}\n",
"val supHist = {\n",
" val s = spark.implicits\n",
" import s._\n",
" supLabels.zip(supCount).toSeq.toDF(\"value\", \"data\")\n",
"}"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<table><tr><th>value</th><th>data</th></tr><tr><td>0.0-1.0E-6</td><td>0</td></tr><tr><td>1.0E-6-2.0E-6</td><td>4995612</td></tr><tr><td>2.0E-6-3.0E-6</td><td>2294714</td></tr><tr><td>3.0E-6-4.0E-6</td><td>1440130</td></tr><tr><td>4.0E-6-5.0E-6</td><td>905362</td></tr><tr><td>5.0E-6-5.0E-6</td><td>0</td></tr><tr><td>5.0E-6-6.0E-6</td><td>705944</td></tr><tr><td>6.0E-6-8.0E-6</td><td>1030960</td></tr><tr><td>8.0E-6-9.0E-6</td><td>357524</td></tr><tr><td>9.0E-6-1.0E-5</td><td>277132</td></tr><tr><td>1.0E-5-1.0E-5</td><td>0</td></tr><tr><td>1.0E-5-1.1E-4</td><td>3982072</td></tr><tr><td>1.1E-4-2.1E-4</td><td>443800</td></tr><tr><td>2.1E-4-3.1E-4</td><td>211412</td></tr><tr><td>3.1E-4-4.1E-4</td><td>110354</td></tr><tr><td>4.1E-4-5.1E-4</td><td>71374</td></tr><tr><td>5.1E-4-6.1E-4</td><td>70328</td></tr><tr><td>6.1E-4-7.1E-4</td><td>56268</td></tr><tr><td>7.1E-4-8.1E-4</td><td>42228</td></tr><tr><td>8.1E-4-9.1E-4</td><td>38876</td></tr><tr><td>9.1E-4-0.001</td><td>17044</td></tr><tr><td>0.001-0.002</td><td>123708</td></tr><tr><td>0.002-0.003</td><td>46706</td></tr><tr><td>0.003-0.004</td><td>30424</td></tr><tr><td>0.004-0.005</td><td>13778</td></tr><tr><td>0.005-0.006</td><td>11342</td></tr><tr><td>0.006-0.007</td><td>9356</td></tr><tr><td>0.007-0.008</td><td>6386</td></tr><tr><td>0.008-0.009</td><td>11756</td></tr><tr><td>0.009-0.01</td><td>6072</td></tr><tr><td>0.01-0.011</td><td>2736</td></tr><tr><td>0.011-0.012</td><td>4370</td></tr><tr><td>0.012-0.013</td><td>5238</td></tr><tr><td>0.013-0.014</td><td>3154</td></tr><tr><td>0.014-0.015</td><td>3176</td></tr><tr><td>0.015-0.016</td><td>2658</td></tr><tr><td>0.016-0.017</td><td>1164</td></tr><tr><td>0.017-0.018</td><td>1606</td></tr><tr><td>0.018-0.019</td><td>1284</td></tr><tr><td>0.019-0.02</td><td>1650</td></tr><tr><td>0.02-0.021</td><td>1396</td></tr><tr><td>0.021-0.022</td><td>318</td></tr><tr><td>0.022-0.023</td><td>2776</td></tr><tr><td>0.023-0.024</td><td>2310</td></tr><tr><td>0.024-0.025</td><td>1184</td></tr><tr><td>0.025-0.026</td><td>822</td></tr><tr><td>0.026-0.027</td><td>828</td></tr><tr><td>0.027-0.028</td><td>908</td></tr><tr><td>0.028-0.029</td><td>556</td></tr><tr><td>0.029-0.03</td><td>780</td></tr><tr><td>0.03-0.031</td><td>552</td></tr><tr><td>0.031-0.032</td><td>426</td></tr><tr><td>0.032-0.033</td><td>1112</td></tr><tr><td>0.033-0.034</td><td>356</td></tr><tr><td>0.034-0.035</td><td>352</td></tr><tr><td>0.035-0.036</td><td>2164</td></tr><tr><td>0.036-0.037</td><td>1362</td></tr><tr><td>0.037-0.038</td><td>362</td></tr><tr><td>0.038-0.039</td><td>700</td></tr><tr><td>0.039-0.04</td><td>348</td></tr><tr><td>0.04-0.041</td><td>172</td></tr><tr><td>0.041-0.042</td><td>462</td></tr><tr><td>0.042-0.043</td><td>84</td></tr><tr><td>0.043-0.044</td><td>1212</td></tr><tr><td>0.044-0.045</td><td>884</td></tr><tr><td>0.045-0.046</td><td>272</td></tr><tr><td>0.046-0.047</td><td>238</td></tr><tr><td>0.047-0.048</td><td>194</td></tr><tr><td>0.048-0.049</td><td>196</td></tr><tr><td>0.049-0.05</td><td>8</td></tr><tr><td>0.05-0.051</td><td>112</td></tr><tr><td>0.051-0.052</td><td>6</td></tr><tr><td>0.052-0.053</td><td>194</td></tr><tr><td>0.053-0.054</td><td>20</td></tr><tr><td>0.054-0.055</td><td>104</td></tr><tr><td>0.055-0.056</td><td>160</td></tr><tr><td>0.056-0.057</td><td>74</td></tr><tr><td>0.057-0.058</td><td>122</td></tr><tr><td>0.058-0.059</td><td>28</td></tr><tr><td>0.059-0.06</td><td>98</td></tr><tr><td>0.06-0.061</td><td>34</td></tr><tr><td>0.061-0.062</td><td>64</td></tr><tr><td>0.062-0.063</td><td>152</td></tr><tr><td>0.063-0.064</td><td>56</td></tr><tr><td>0.064-0.065</td><td>62</td></tr><tr><td>0.065-0.066</td><td>58</td></tr><tr><td>0.066-0.067</td><td>14</td></tr><tr><td>0.067-0.068</td><td>538</td></tr><tr><td>0.068-0.069</td><td>92</td></tr><tr><td>0.069-0.07</td><td>70</td></tr><tr><td>0.07-0.071</td><td>312</td></tr><tr><td>0.071-0.072</td><td>0</td></tr><tr><td>0.072-0.073</td><td>14</td></tr><tr><td>0.073-0.074</td><td>56</td></tr><tr><td>0.074-0.075</td><td>796</td></tr><tr><td>0.075-0.076</td><td>60</td></tr><tr><td>0.076-0.077</td><td>14</td></tr><tr><td>0.077-0.078</td><td>6</td></tr><tr><td>0.078-0.079</td><td>22</td></tr><tr><td>0.079-0.08</td><td>0</td></tr><tr><td>0.08-0.081</td><td>20</td></tr><tr><td>0.081-0.082</td><td>12</td></tr><tr><td>0.082-0.083</td><td>50</td></tr><tr><td>0.083-0.084</td><td>8</td></tr><tr><td>0.084-0.085</td><td>0</td></tr><tr><td>0.085-0.086</td><td>16</td></tr><tr><td>0.086-0.087</td><td>0</td></tr><tr><td>0.087-0.088</td><td>6</td></tr><tr><td>0.088-0.089</td><td>14</td></tr><tr><td>0.089-0.09</td><td>270</td></tr><tr><td>0.09-0.091</td><td>26</td></tr><tr><td>0.091-0.092</td><td>2</td></tr><tr><td>0.092-0.093</td><td>0</td></tr><tr><td>0.093-0.094</td><td>104</td></tr><tr><td>0.094-0.095</td><td>18</td></tr><tr><td>0.095-0.096</td><td>30</td></tr><tr><td>0.096-0.097</td><td>290</td></tr><tr><td>0.097-0.098</td><td>14</td></tr><tr><td>0.098-0.099</td><td>12</td></tr><tr><td>0.099-0.1</td><td>0</td></tr><tr><td>0.1-0.101</td><td>0</td></tr><tr><td>0.101-0.102</td><td>20</td></tr><tr><td>0.102-0.103</td><td>32</td></tr><tr><td>0.103-0.104</td><td>44</td></tr><tr><td>0.104-0.105</td><td>40</td></tr><tr><td>0.105-0.106</td><td>8</td></tr><tr><td>0.106-0.107</td><td>72</td></tr><tr><td>0.107-0.108</td><td>6</td></tr><tr><td>0.108-0.109</td><td>0</td></tr><tr><td>0.109-0.11</td><td>0</td></tr><tr><td>0.11-0.111</td><td>616</td></tr><tr><td>0.111-0.112</td><td>264</td></tr><tr><td>0.112-0.113</td><td>206</td></tr><tr><td>0.113-0.114</td><td>162</td></tr><tr><td>0.114-0.115</td><td>56</td></tr><tr><td>0.115-0.116</td><td>2</td></tr><tr><td>0.116-0.117</td><td>90</td></tr><tr><td>0.117-0.118</td><td>44</td></tr><tr><td>0.118-0.119</td><td>166</td></tr><tr><td>0.119-0.12</td><td>0</td></tr><tr><td>0.12-0.121</td><td>102</td></tr><tr><td>0.121-0.122</td><td>64</td></tr><tr><td>0.122-0.123</td><td>20</td></tr><tr><td>0.123-0.124</td><td>58</td></tr><tr><td>0.124-0.125</td><td>0</td></tr><tr><td>0.125-0.126</td><td>32</td></tr><tr><td>0.126-0.127</td><td>46</td></tr><tr><td>0.127-0.128</td><td>12</td></tr><tr><td>0.128-0.129</td><td>6</td></tr><tr><td>0.129-0.13</td><td>22</td></tr><tr><td>0.13-0.131</td><td>6</td></tr><tr><td>0.131-0.132</td><td>0</td></tr><tr><td>0.132-0.133</td><td>6</td></tr><tr><td>0.133-0.134</td><td>0</td></tr><tr><td>0.134-0.135</td><td>0</td></tr><tr><td>0.135-0.136</td><td>0</td></tr><tr><td>0.136-0.137</td><td>0</td></tr><tr><td>0.137-0.138</td><td>0</td></tr><tr><td>0.138-0.139</td><td>20</td></tr><tr><td>0.139-0.14</td><td>12</td></tr><tr><td>0.14-0.141</td><td>6</td></tr><tr><td>0.141-0.142</td><td>252</td></tr><tr><td>0.142-0.143</td><td>20</td></tr><tr><td>0.143-0.144</td><td>0</td></tr><tr><td>0.144-0.145</td><td>104</td></tr><tr><td>0.145-0.146</td><td>6</td></tr><tr><td>0.146-0.147</td><td>20</td></tr><tr><td>0.147-0.148</td><td>56</td></tr><tr><td>0.148-0.149</td><td>12</td></tr><tr><td>0.149-0.15</td><td>0</td></tr><tr><td>0.15-0.151</td><td>2</td></tr><tr><td>0.151-0.152</td><td>12</td></tr><tr><td>0.152-0.153</td><td>0</td></tr><tr><td>0.153-0.154</td><td>12</td></tr><tr><td>0.154-0.155</td><td>0</td></tr><tr><td>0.155-0.156</td><td>6</td></tr><tr><td>0.156-0.157</td><td>0</td></tr><tr><td>0.157-0.158</td><td>0</td></tr><tr><td>0.158-0.159</td><td>0</td></tr><tr><td>0.159-0.16</td><td>6</td></tr><tr><td>0.16-0.161</td><td>2</td></tr><tr><td>0.161-0.162</td><td>0</td></tr><tr><td>0.162-0.163</td><td>0</td></tr><tr><td>0.163-0.164</td><td>2</td></tr><tr><td>0.164-0.165</td><td>0</td></tr><tr><td>0.165-0.166</td><td>6</td></tr><tr><td>0.166-0.167</td><td>2</td></tr><tr><td>0.167-0.168</td><td>0</td></tr><tr><td>0.168-0.169</td><td>8</td></tr><tr><td>0.169-0.17</td><td>2</td></tr><tr><td>0.17-0.171</td><td>0</td></tr><tr><td>0.171-0.172</td><td>0</td></tr><tr><td>0.172-0.173</td><td>0</td></tr><tr><td>0.173-0.174</td><td>0</td></tr><tr><td>0.174-0.175</td><td>0</td></tr><tr><td>0.175-0.176</td><td>0</td></tr><tr><td>0.176-0.177</td><td>0</td></tr><tr><td>0.177-0.178</td><td>0</td></tr><tr><td>0.178-0.179</td><td>0</td></tr><tr><td>0.179-0.18</td><td>0</td></tr><tr><td>0.18-0.181</td><td>0</td></tr><tr><td>0.181-0.182</td><td>0</td></tr><tr><td>0.182-0.183</td><td>0</td></tr><tr><td>0.183-0.184</td><td>0</td></tr><tr><td>0.184-0.185</td><td>2</td></tr><tr><td>0.185-0.186</td><td>0</td></tr><tr><td>0.186-0.187</td><td>20</td></tr><tr><td>0.187-0.188</td><td>0</td></tr><tr><td>0.188-0.189</td><td>0</td></tr><tr><td>0.189-0.19</td><td>6</td></tr><tr><td>0.19-0.191</td><td>0</td></tr><tr><td>0.191-0.192</td><td>0</td></tr><tr><td>0.192-0.193</td><td>0</td></tr><tr><td>0.193-0.194</td><td>0</td></tr><tr><td>0.194-0.195</td><td>6</td></tr><tr><td>0.195-0.196</td><td>18</td></tr><tr><td>0.196-0.197</td><td>0</td></tr><tr><td>0.197-0.198</td><td>6</td></tr><tr><td>0.198-0.199</td><td>2</td></tr><tr><td>0.199-0.2</td><td>0</td></tr><tr><td>0.2-0.201</td><td>0</td></tr><tr><td>0.201-0.202</td><td>0</td></tr><tr><td>0.202-0.203</td><td>0</td></tr><tr><td>0.203-0.204</td><td>0</td></tr><tr><td>0.204-0.205</td><td>0</td></tr><tr><td>0.205-0.206</td><td>0</td></tr><tr><td>0.206-0.207</td><td>0</td></tr><tr><td>0.207-0.208</td><td>78</td></tr><tr><td>0.208-0.209</td><td>0</td></tr><tr><td>0.209-0.21</td><td>54</td></tr><tr><td>0.21-0.211</td><td>14</td></tr><tr><td>0.211-0.212</td><td>0</td></tr><tr><td>0.212-0.213</td><td>2</td></tr><tr><td>0.213-0.214</td><td>8</td></tr><tr><td>0.214-0.215</td><td>0</td></tr><tr><td>0.215-0.216</td><td>10</td></tr><tr><td>0.216-0.217</td><td>0</td></tr><tr><td>0.217-0.218</td><td>26</td></tr><tr><td>0.218-0.219</td><td>8</td></tr><tr><td>0.219-0.22</td><td>0</td></tr><tr><td>0.22-0.221</td><td>10</td></tr><tr><td>0.221-0.222</td><td>2</td></tr><tr><td>0.222-0.223</td><td>0</td></tr><tr><td>0.223-0.224</td><td>0</td></tr><tr><td>0.224-0.225</td><td>0</td></tr><tr><td>0.225-0.226</td><td>0</td></tr><tr><td>0.226-0.227</td><td>0</td></tr><tr><td>0.227-0.228</td><td>2</td></tr><tr><td>0.228-0.229</td><td>0</td></tr><tr><td>0.229-0.23</td><td>0</td></tr><tr><td>0.23-0.231</td><td>0</td></tr><tr><td>0.231-0.232</td><td>2</td></tr><tr><td>0.232-0.233</td><td>0</td></tr><tr><td>0.233-0.234</td><td>0</td></tr><tr><td>0.234-0.235</td><td>0</td></tr><tr><td>0.235-0.236</td><td>0</td></tr><tr><td>0.236-0.237</td><td>0</td></tr><tr><td>0.237-0.238</td><td>0</td></tr><tr><td>0.238-0.239</td><td>0</td></tr><tr><td>0.239-0.24</td><td>0</td></tr><tr><td>0.24-0.241</td><td>0</td></tr><tr><td>0.241-0.242</td><td>0</td></tr><tr><td>0.242-0.243</td><td>0</td></tr><tr><td>0.243-0.244</td><td>0</td></tr><tr><td>0.244-0.245</td><td>0</td></tr><tr><td>0.245-0.246</td><td>0</td></tr><tr><td>0.246-0.247</td><td>0</td></tr><tr><td>0.247-0.248</td><td>2</td></tr><tr><td>0.248-0.249</td><td>0</td></tr><tr><td>0.249-0.25</td><td>2</td></tr><tr><td>0.25-0.251</td><td>2</td></tr><tr><td>0.251-0.252</td><td>0</td></tr><tr><td>0.252-0.253</td><td>2</td></tr><tr><td>0.253-0.254</td><td>0</td></tr><tr><td>0.254-0.255</td><td>0</td></tr><tr><td>0.255-0.256</td><td>0</td></tr><tr><td>0.256-0.257</td><td>8</td></tr><tr><td>0.257-0.258</td><td>0</td></tr><tr><td>0.258-0.259</td><td>0</td></tr><tr><td>0.259-0.26</td><td>294</td></tr><tr><td>0.26-0.261</td><td>0</td></tr><tr><td>0.261-0.262</td><td>0</td></tr><tr><td>0.262-0.263</td><td>64</td></tr><tr><td>0.263-0.264</td><td>28</td></tr><tr><td>0.264-0.265</td><td>112</td></tr><tr><td>0.265-0.266</td><td>8</td></tr><tr><td>0.266-0.267</td><td>0</td></tr><tr><td>0.267-0.268</td><td>20</td></tr><tr><td>0.268-0.269</td><td>10</td></tr><tr><td>0.269-0.27</td><td>0</td></tr><tr><td>0.27-0.271</td><td>0</td></tr><tr><td>0.271-0.272</td><td>6</td></tr><tr><td>0.272-0.273</td><td>2</td></tr><tr><td>0.273-0.274</td><td>0</td></tr><tr><td>0.274-0.275</td><td>0</td></tr><tr><td>0.275-0.276</td><td>0</td></tr><tr><td>0.276-0.277</td><td>20</td></tr><tr><td>0.277-0.278</td><td>0</td></tr><tr><td>0.278-0.279</td><td>0</td></tr><tr><td>0.279-0.28</td><td>0</td></tr><tr><td>0.28-0.281</td><td>0</td></tr><tr><td>0.281-0.282</td><td>6</td></tr><tr><td>0.282-0.283</td><td>0</td></tr><tr><td>0.283-0.284</td><td>0</td></tr><tr><td>0.284-0.285</td><td>0</td></tr><tr><td>0.285-0.286</td><td>8</td></tr><tr><td>0.286-0.287</td><td>0</td></tr><tr><td>0.287-0.288</td><td>0</td></tr><tr><td>0.288-0.289</td><td>0</td></tr><tr><td>0.289-0.29</td><td>0</td></tr><tr><td>0.29-0.291</td><td>0</td></tr><tr><td>0.291-0.292</td><td>0</td></tr><tr><td>0.292-0.293</td><td>0</td></tr><tr><td>0.293-0.294</td><td>14</td></tr><tr><td>0.294-0.295</td><td>2</td></tr><tr><td>0.295-0.296</td><td>0</td></tr><tr><td>0.296-0.297</td><td>10</td></tr><tr><td>0.297-0.298</td><td>0</td></tr><tr><td>0.298-0.299</td><td>0</td></tr><tr><td>0.299-0.3</td><td>2</td></tr><tr><td>0.3-0.301</td><td>0</td></tr><tr><td>0.301-0.302</td><td>2</td></tr><tr><td>0.302-0.303</td><td>0</td></tr><tr><td>0.303-0.304</td><td>0</td></tr><tr><td>0.304-0.305</td><td>0</td></tr><tr><td>0.305-0.306</td><td>0</td></tr><tr><td>0.306-0.307</td><td>0</td></tr><tr><td>0.307-0.308</td><td>0</td></tr><tr><td>0.308-0.309</td><td>0</td></tr><tr><td>0.309-0.31</td><td>0</td></tr><tr><td>0.31-0.311</td><td>0</td></tr><tr><td>0.311-0.312</td><td>0</td></tr><tr><td>0.312-0.313</td><td>0</td></tr><tr><td>0.313-0.314</td><td>0</td></tr><tr><td>0.314-0.315</td><td>0</td></tr><tr><td>0.315-0.316</td><td>0</td></tr><tr><td>0.316-0.317</td><td>0</td></tr><tr><td>0.317-0.318</td><td>0</td></tr><tr><td>0.318-0.319</td><td>0</td></tr><tr><td>0.319-0.32</td><td>0</td></tr><tr><td>0.32-0.321</td><td>0</td></tr><tr><td>0.321-0.322</td><td>0</td></tr><tr><td>0.322-0.323</td><td>0</td></tr><tr><td>0.323-0.324</td><td>0</td></tr><tr><td>0.324-0.325</td><td>0</td></tr><tr><td>0.325-0.326</td><td>0</td></tr><tr><td>0.326-0.327</td><td>0</td></tr><tr><td>0.327-0.328</td><td>0</td></tr><tr><td>0.328-0.329</td><td>0</td></tr><tr><td>0.329-0.33</td><td>0</td></tr><tr><td>0.33-0.331</td><td>0</td></tr><tr><td>0.331-0.332</td><td>0</td></tr><tr><td>0.332-0.333</td><td>0</td></tr><tr><td>0.333-0.334</td><td>0</td></tr><tr><td>0.334-0.335</td><td>0</td></tr><tr><td>0.335-0.336</td><td>0</td></tr><tr><td>0.336-0.337</td><td>0</td></tr><tr><td>0.337-0.338</td><td>0</td></tr><tr><td>0.338-0.339</td><td>0</td></tr><tr><td>0.339-0.34</td><td>0</td></tr><tr><td>0.34-0.341</td><td>0</td></tr><tr><td>0.341-0.342</td><td>0</td></tr><tr><td>0.342-0.343</td><td>6</td></tr><tr><td>0.343-0.344</td><td>0</td></tr><tr><td>0.344-0.345</td><td>2</td></tr><tr><td>0.345-0.346</td><td>0</td></tr><tr><td>0.346-0.347</td><td>0</td></tr><tr><td>0.347-0.348</td><td>0</td></tr><tr><td>0.348-0.349</td><td>0</td></tr><tr><td>0.349-0.35</td><td>2</td></tr><tr><td>0.35-0.351</td><td>0</td></tr><tr><td>0.351-0.352</td><td>0</td></tr><tr><td>0.352-0.353</td><td>0</td></tr><tr><td>0.353-0.354</td><td>0</td></tr><tr><td>0.354-0.355</td><td>0</td></tr><tr><td>0.355-0.356</td><td>0</td></tr><tr><td>0.356-0.357</td><td>0</td></tr><tr><td>0.357-0.358</td><td>0</td></tr><tr><td>0.358-0.359</td><td>0</td></tr><tr><td>0.359-0.36</td><td>0</td></tr><tr><td>0.36-0.361</td><td>0</td></tr><tr><td>0.361-0.362</td><td>0</td></tr><tr><td>0.362-0.363</td><td>0</td></tr><tr><td>0.363-0.364</td><td>2</td></tr><tr><td>0.364-0.365</td><td>0</td></tr><tr><td>0.365-0.366</td><td>0</td></tr><tr><td>0.366-0.367</td><td>0</td></tr><tr><td>0.367-0.368</td><td>0</td></tr><tr><td>0.368-0.369</td><td>0</td></tr><tr><td>0.369-0.37</td><td>0</td></tr><tr><td>0.37-0.371</td><td>0</td></tr><tr><td>0.371-0.372</td><td>0</td></tr><tr><td>0.372-0.373</td><td>0</td></tr><tr><td>0.373-0.374</td><td>0</td></tr><tr><td>0.374-0.375</td><td>0</td></tr><tr><td>0.375-0.376</td><td>0</td></tr><tr><td>0.376-0.377</td><td>0</td></tr><tr><td>0.377-0.378</td><td>0</td></tr><tr><td>0.378-0.379</td><td>0</td></tr><tr><td>0.379-0.38</td><td>0</td></tr><tr><td>0.38-0.381</td><td>0</td></tr><tr><td>0.381-0.382</td><td>0</td></tr><tr><td>0.382-0.383</td><td>0</td></tr><tr><td>0.383-0.384</td><td>0</td></tr><tr><td>0.384-0.385</td><td>0</td></tr><tr><td>0.385-0.386</td><td>0</td></tr><tr><td>0.386-0.387</td><td>0</td></tr><tr><td>0.387-0.388</td><td>0</td></tr><tr><td>0.388-0.389</td><td>0</td></tr><tr><td>0.389-0.39</td><td>0</td></tr><tr><td>0.39-0.391</td><td>8</td></tr><tr><td>0.391-0.392</td><td>0</td></tr><tr><td>0.392-0.393</td><td>0</td></tr><tr><td>0.393-0.394</td><td>0</td></tr><tr><td>0.394-0.395</td><td>0</td></tr><tr><td>0.395-0.396</td><td>0</td></tr><tr><td>0.396-0.397</td><td>0</td></tr><tr><td>0.397-0.398</td><td>2</td></tr><tr><td>0.398-0.399</td><td>0</td></tr><tr><td>0.399-0.4</td><td>0</td></tr><tr><td>0.4-0.401</td><td>0</td></tr><tr><td>0.401-0.402</td><td>0</td></tr><tr><td>0.402-0.403</td><td>0</td></tr><tr><td>0.403-0.404</td><td>0</td></tr><tr><td>0.404-0.405</td><td>0</td></tr><tr><td>0.405-0.406</td><td>0</td></tr><tr><td>0.406-0.407</td><td>0</td></tr><tr><td>0.407-0.408</td><td>0</td></tr><tr><td>0.408-0.409</td><td>0</td></tr><tr><td>0.409-0.41</td><td>0</td></tr><tr><td>0.41-0.411</td><td>0</td></tr><tr><td>0.411-0.412</td><td>2</td></tr><tr><td>0.412-0.413</td><td>0</td></tr><tr><td>0.413-0.414</td><td>0</td></tr><tr><td>0.414-0.415</td><td>0</td></tr><tr><td>0.415-0.416</td><td>0</td></tr><tr><td>0.416-0.417</td><td>0</td></tr><tr><td>0.417-0.418</td><td>0</td></tr><tr><td>0.418-0.419</td><td>0</td></tr><tr><td>0.419-0.42</td><td>0</td></tr><tr><td>0.42-0.421</td><td>0</td></tr><tr><td>0.421-0.422</td><td>2</td></tr><tr><td>0.422-0.423</td><td>0</td></tr><tr><td>0.423-0.424</td><td>0</td></tr><tr><td>0.424-0.425</td><td>0</td></tr><tr><td>0.425-0.426</td><td>0</td></tr><tr><td>0.426-0.427</td><td>0</td></tr><tr><td>0.427-0.428</td><td>0</td></tr><tr><td>0.428-0.429</td><td>0</td></tr><tr><td>0.429-0.43</td><td>0</td></tr><tr><td>0.43-0.431</td><td>0</td></tr><tr><td>0.431-0.432</td><td>0</td></tr><tr><td>0.432-0.433</td><td>0</td></tr><tr><td>0.433-0.434</td><td>0</td></tr><tr><td>0.434-0.435</td><td>0</td></tr><tr><td>0.435-0.436</td><td>0</td></tr><tr><td>0.436-0.437</td><td>0</td></tr><tr><td>0.437-0.438</td><td>0</td></tr><tr><td>0.438-0.439</td><td>0</td></tr><tr><td>0.439-0.44</td><td>0</td></tr><tr><td>0.44-0.441</td><td>0</td></tr><tr><td>0.441-0.442</td><td>0</td></tr><tr><td>0.442-0.443</td><td>0</td></tr><tr><td>0.443-0.444</td><td>0</td></tr><tr><td>0.444-0.445</td><td>0</td></tr><tr><td>0.445-0.446</td><td>0</td></tr><tr><td>0.446-0.447</td><td>0</td></tr><tr><td>0.447-0.448</td><td>0</td></tr><tr><td>0.448-0.449</td><td>0</td></tr><tr><td>0.449-0.45</td><td>0</td></tr><tr><td>0.45-0.451</td><td>0</td></tr><tr><td>0.451-0.452</td><td>0</td></tr><tr><td>0.452-0.453</td><td>0</td></tr><tr><td>0.453-0.454</td><td>0</td></tr><tr><td>0.454-0.455</td><td>0</td></tr><tr><td>0.455-0.456</td><td>0</td></tr><tr><td>0.456-0.457</td><td>0</td></tr><tr><td>0.457-0.458</td><td>0</td></tr><tr><td>0.458-0.459</td><td>0</td></tr><tr><td>0.459-0.46</td><td>0</td></tr><tr><td>0.46-0.461</td><td>0</td></tr><tr><td>0.461-0.462</td><td>0</td></tr><tr><td>0.462-0.463</td><td>0</td></tr><tr><td>0.463-0.464</td><td>0</td></tr><tr><td>0.464-0.465</td><td>0</td></tr><tr><td>0.465-0.466</td><td>0</td></tr><tr><td>0.466-0.467</td><td>0</td></tr><tr><td>0.467-0.468</td><td>0</td></tr><tr><td>0.468-0.469</td><td>0</td></tr><tr><td>0.469-0.47</td><td>0</td></tr><tr><td>0.47-0.471</td><td>0</td></tr><tr><td>0.471-0.472</td><td>0</td></tr><tr><td>0.472-0.473</td><td>0</td></tr><tr><td>0.473-0.474</td><td>0</td></tr><tr><td>0.474-0.475</td><td>0</td></tr><tr><td>0.475-0.476</td><td>0</td></tr><tr><td>0.476-0.477</td><td>0</td></tr><tr><td>0.477-0.478</td><td>0</td></tr><tr><td>0.478-0.479</td><td>0</td></tr><tr><td>0.479-0.48</td><td>0</td></tr><tr><td>0.48-0.481</td><td>0</td></tr><tr><td>0.481-0.482</td><td>0</td></tr><tr><td>0.482-0.483</td><td>0</td></tr><tr><td>0.483-0.484</td><td>0</td></tr><tr><td>0.484-0.485</td><td>0</td></tr><tr><td>0.485-0.486</td><td>2</td></tr><tr><td>0.486-0.487</td><td>0</td></tr><tr><td>0.487-0.488</td><td>0</td></tr><tr><td>0.488-0.489</td><td>0</td></tr><tr><td>0.489-0.49</td><td>0</td></tr><tr><td>0.49-0.491</td><td>0</td></tr><tr><td>0.491-0.492</td><td>0</td></tr><tr><td>0.492-0.493</td><td>0</td></tr><tr><td>0.493-0.494</td><td>0</td></tr><tr><td>0.494-0.495</td><td>0</td></tr><tr><td>0.495-0.496</td><td>0</td></tr><tr><td>0.496-0.497</td><td>0</td></tr><tr><td>0.497-0.498</td><td>0</td></tr><tr><td>0.498-0.499</td><td>0</td></tr><tr><td>0.499-0.5</td><td>0</td></tr><tr><td>0.5-0.501</td><td>0</td></tr><tr><td>0.501-0.502</td><td>0</td></tr><tr><td>0.502-0.503</td><td>0</td></tr><tr><td>0.503-0.504</td><td>0</td></tr><tr><td>0.504-0.505</td><td>0</td></tr><tr><td>0.505-0.506</td><td>0</td></tr><tr><td>0.506-0.507</td><td>0</td></tr><tr><td>0.507-0.508</td><td>0</td></tr><tr><td>0.508-0.509</td><td>0</td></tr><tr><td>0.509-0.51</td><td>2</td></tr><tr><td>0.51-0.511</td><td>0</td></tr><tr><td>0.511-0.512</td><td>0</td></tr><tr><td>0.512-0.513</td><td>0</td></tr><tr><td>0.513-0.514</td><td>0</td></tr><tr><td>0.514-0.515</td><td>0</td></tr><tr><td>0.515-0.516</td><td>0</td></tr><tr><td>0.516-0.517</td><td>0</td></tr><tr><td>0.517-0.518</td><td>0</td></tr><tr><td>0.518-0.519</td><td>0</td></tr><tr><td>0.519-0.52</td><td>0</td></tr><tr><td>0.52-0.521</td><td>0</td></tr><tr><td>0.521-0.522</td><td>0</td></tr><tr><td>0.522-0.523</td><td>0</td></tr><tr><td>0.523-0.524</td><td>0</td></tr><tr><td>0.524-0.525</td><td>0</td></tr><tr><td>0.525-0.526</td><td>0</td></tr><tr><td>0.526-0.527</td><td>0</td></tr><tr><td>0.527-0.528</td><td>0</td></tr><tr><td>0.528-0.529</td><td>0</td></tr><tr><td>0.529-0.53</td><td>0</td></tr><tr><td>0.53-0.531</td><td>0</td></tr><tr><td>0.531-0.532</td><td>0</td></tr><tr><td>0.532-0.533</td><td>0</td></tr><tr><td>0.533-0.534</td><td>0</td></tr><tr><td>0.534-0.535</td><td>0</td></tr><tr><td>0.535-0.536</td><td>0</td></tr><tr><td>0.536-0.537</td><td>0</td></tr><tr><td>0.537-0.538</td><td>0</td></tr><tr><td>0.538-0.539</td><td>0</td></tr><tr><td>0.539-0.54</td><td>0</td></tr><tr><td>0.54-0.541</td><td>0</td></tr><tr><td>0.541-0.542</td><td>0</td></tr><tr><td>0.542-0.543</td><td>0</td></tr><tr><td>0.543-0.544</td><td>0</td></tr><tr><td>0.544-0.545</td><td>0</td></tr><tr><td>0.545-0.546</td><td>0</td></tr><tr><td>0.546-0.547</td><td>0</td></tr><tr><td>0.547-0.548</td><td>0</td></tr><tr><td>0.548-0.549</td><td>0</td></tr><tr><td>0.549-0.55</td><td>0</td></tr><tr><td>0.55-0.551</td><td>0</td></tr><tr><td>0.551-0.552</td><td>0</td></tr><tr><td>0.552-0.553</td><td>0</td></tr><tr><td>0.553-0.554</td><td>0</td></tr><tr><td>0.554-0.555</td><td>0</td></tr><tr><td>0.555-0.556</td><td>0</td></tr><tr><td>0.556-0.557</td><td>0</td></tr><tr><td>0.557-0.558</td><td>0</td></tr><tr><td>0.558-0.559</td><td>0</td></tr><tr><td>0.559-0.56</td><td>0</td></tr><tr><td>0.56-0.561</td><td>0</td></tr><tr><td>0.561-0.562</td><td>0</td></tr><tr><td>0.562-0.563</td><td>0</td></tr><tr><td>0.563-0.564</td><td>0</td></tr><tr><td>0.564-0.565</td><td>0</td></tr><tr><td>0.565-0.566</td><td>0</td></tr><tr><td>0.566-0.567</td><td>0</td></tr><tr><td>0.567-0.568</td><td>0</td></tr><tr><td>0.568-0.569</td><td>0</td></tr><tr><td>0.569-0.57</td><td>0</td></tr><tr><td>0.57-0.571</td><td>0</td></tr><tr><td>0.571-0.572</td><td>0</td></tr><tr><td>0.572-0.573</td><td>0</td></tr><tr><td>0.573-0.574</td><td>0</td></tr><tr><td>0.574-0.575</td><td>0</td></tr><tr><td>0.575-0.576</td><td>0</td></tr><tr><td>0.576-0.577</td><td>0</td></tr><tr><td>0.577-0.578</td><td>0</td></tr><tr><td>0.578-0.579</td><td>0</td></tr><tr><td>0.579-0.58</td><td>0</td></tr><tr><td>0.58-0.581</td><td>0</td></tr><tr><td>0.581-0.582</td><td>0</td></tr><tr><td>0.582-0.583</td><td>0</td></tr><tr><td>0.583-0.584</td><td>0</td></tr><tr><td>0.584-0.585</td><td>0</td></tr><tr><td>0.585-0.586</td><td>0</td></tr><tr><td>0.586-0.587</td><td>0</td></tr><tr><td>0.587-0.588</td><td>0</td></tr><tr><td>0.588-0.589</td><td>0</td></tr><tr><td>0.589-0.59</td><td>0</td></tr><tr><td>0.59-0.591</td><td>0</td></tr><tr><td>0.591-0.592</td><td>0</td></tr><tr><td>0.592-0.593</td><td>0</td></tr><tr><td>0.593-0.594</td><td>0</td></tr><tr><td>0.594-0.595</td><td>0</td></tr><tr><td>0.595-0.596</td><td>0</td></tr><tr><td>0.596-0.597</td><td>0</td></tr><tr><td>0.597-0.598</td><td>0</td></tr><tr><td>0.598-0.599</td><td>0</td></tr><tr><td>0.599-0.6</td><td>0</td></tr><tr><td>0.6-0.601</td><td>0</td></tr><tr><td>0.601-0.602</td><td>0</td></tr><tr><td>0.602-0.603</td><td>0</td></tr><tr><td>0.603-0.604</td><td>0</td></tr><tr><td>0.604-0.605</td><td>0</td></tr><tr><td>0.605-0.606</td><td>0</td></tr><tr><td>0.606-0.607</td><td>0</td></tr><tr><td>0.607-0.608</td><td>0</td></tr><tr><td>0.608-0.609</td><td>0</td></tr><tr><td>0.609-0.61</td><td>0</td></tr><tr><td>0.61-0.611</td><td>0</td></tr><tr><td>0.611-0.612</td><td>0</td></tr><tr><td>0.612-0.613</td><td>0</td></tr><tr><td>0.613-0.614</td><td>0</td></tr><tr><td>0.614-0.615</td><td>0</td></tr><tr><td>0.615-0.616</td><td>0</td></tr><tr><td>0.616-0.617</td><td>0</td></tr><tr><td>0.617-0.618</td><td>0</td></tr><tr><td>0.618-0.619</td><td>0</td></tr><tr><td>0.619-0.62</td><td>0</td></tr><tr><td>0.62-0.621</td><td>0</td></tr><tr><td>0.621-0.622</td><td>0</td></tr><tr><td>0.622-0.623</td><td>0</td></tr><tr><td>0.623-0.624</td><td>0</td></tr><tr><td>0.624-0.625</td><td>0</td></tr><tr><td>0.625-0.626</td><td>0</td></tr><tr><td>0.626-0.627</td><td>0</td></tr><tr><td>0.627-0.628</td><td>0</td></tr><tr><td>0.628-0.629</td><td>0</td></tr><tr><td>0.629-0.63</td><td>0</td></tr><tr><td>0.63-0.631</td><td>0</td></tr><tr><td>0.631-0.632</td><td>0</td></tr><tr><td>0.632-0.633</td><td>0</td></tr><tr><td>0.633-0.634</td><td>0</td></tr><tr><td>0.634-0.635</td><td>0</td></tr><tr><td>0.635-0.636</td><td>0</td></tr><tr><td>0.636-0.637</td><td>0</td></tr><tr><td>0.637-0.638</td><td>0</td></tr><tr><td>0.638-0.639</td><td>0</td></tr><tr><td>0.639-0.64</td><td>0</td></tr><tr><td>0.64-0.641</td><td>0</td></tr><tr><td>0.641-0.642</td><td>0</td></tr><tr><td>0.642-0.643</td><td>0</td></tr><tr><td>0.643-0.644</td><td>0</td></tr><tr><td>0.644-0.645</td><td>0</td></tr><tr><td>0.645-0.646</td><td>0</td></tr><tr><td>0.646-0.647</td><td>0</td></tr><tr><td>0.647-0.648</td><td>0</td></tr><tr><td>0.648-0.649</td><td>0</td></tr><tr><td>0.649-0.65</td><td>0</td></tr><tr><td>0.65-0.651</td><td>0</td></tr><tr><td>0.651-0.652</td><td>0</td></tr><tr><td>0.652-0.653</td><td>0</td></tr><tr><td>0.653-0.654</td><td>0</td></tr><tr><td>0.654-0.655</td><td>0</td></tr><tr><td>0.655-0.656</td><td>0</td></tr><tr><td>0.656-0.657</td><td>0</td></tr><tr><td>0.657-0.658</td><td>0</td></tr><tr><td>0.658-0.659</td><td>0</td></tr><tr><td>0.659-0.66</td><td>0</td></tr><tr><td>0.66-0.661</td><td>0</td></tr><tr><td>0.661-0.662</td><td>0</td></tr><tr><td>0.662-0.663</td><td>0</td></tr><tr><td>0.663-0.664</td><td>0</td></tr><tr><td>0.664-0.665</td><td>0</td></tr><tr><td>0.665-0.666</td><td>0</td></tr><tr><td>0.666-0.667</td><td>0</td></tr><tr><td>0.667-0.668</td><td>0</td></tr><tr><td>0.668-0.669</td><td>0</td></tr><tr><td>0.669-0.67</td><td>0</td></tr><tr><td>0.67-0.671</td><td>0</td></tr><tr><td>0.671-0.672</td><td>0</td></tr><tr><td>0.672-0.673</td><td>0</td></tr><tr><td>0.673-0.674</td><td>0</td></tr><tr><td>0.674-0.675</td><td>0</td></tr><tr><td>0.675-0.676</td><td>0</td></tr><tr><td>0.676-0.677</td><td>0</td></tr><tr><td>0.677-0.678</td><td>0</td></tr><tr><td>0.678-0.679</td><td>0</td></tr><tr><td>0.679-0.68</td><td>0</td></tr><tr><td>0.68-0.681</td><td>0</td></tr><tr><td>0.681-0.682</td><td>0</td></tr><tr><td>0.682-0.683</td><td>0</td></tr><tr><td>0.683-0.684</td><td>0</td></tr><tr><td>0.684-0.685</td><td>0</td></tr><tr><td>0.685-0.686</td><td>0</td></tr><tr><td>0.686-0.687</td><td>0</td></tr><tr><td>0.687-0.688</td><td>0</td></tr><tr><td>0.688-0.689</td><td>0</td></tr><tr><td>0.689-0.69</td><td>0</td></tr><tr><td>0.69-0.691</td><td>0</td></tr><tr><td>0.691-0.692</td><td>0</td></tr><tr><td>0.692-0.693</td><td>0</td></tr><tr><td>0.693-0.694</td><td>0</td></tr><tr><td>0.694-0.695</td><td>0</td></tr><tr><td>0.695-0.696</td><td>0</td></tr><tr><td>0.696-0.697</td><td>0</td></tr><tr><td>0.697-0.698</td><td>0</td></tr><tr><td>0.698-0.699</td><td>0</td></tr><tr><td>0.699-0.7</td><td>0</td></tr><tr><td>0.7-0.701</td><td>0</td></tr><tr><td>0.701-0.702</td><td>0</td></tr><tr><td>0.702-0.703</td><td>0</td></tr><tr><td>0.703-0.704</td><td>0</td></tr><tr><td>0.704-0.705</td><td>0</td></tr><tr><td>0.705-0.706</td><td>0</td></tr><tr><td>0.706-0.707</td><td>0</td></tr><tr><td>0.707-0.708</td><td>0</td></tr><tr><td>0.708-0.709</td><td>0</td></tr><tr><td>0.709-0.71</td><td>0</td></tr><tr><td>0.71-0.711</td><td>0</td></tr><tr><td>0.711-0.712</td><td>0</td></tr><tr><td>0.712-0.713</td><td>0</td></tr><tr><td>0.713-0.714</td><td>0</td></tr><tr><td>0.714-0.715</td><td>0</td></tr><tr><td>0.715-0.716</td><td>0</td></tr><tr><td>0.716-0.717</td><td>0</td></tr><tr><td>0.717-0.718</td><td>0</td></tr><tr><td>0.718-0.719</td><td>0</td></tr><tr><td>0.719-0.72</td><td>0</td></tr><tr><td>0.72-0.721</td><td>0</td></tr><tr><td>0.721-0.722</td><td>0</td></tr><tr><td>0.722-0.723</td><td>0</td></tr><tr><td>0.723-0.724</td><td>0</td></tr><tr><td>0.724-0.725</td><td>0</td></tr><tr><td>0.725-0.726</td><td>0</td></tr><tr><td>0.726-0.727</td><td>0</td></tr><tr><td>0.727-0.728</td><td>0</td></tr><tr><td>0.728-0.729</td><td>0</td></tr><tr><td>0.729-0.73</td><td>0</td></tr><tr><td>0.73-0.731</td><td>0</td></tr><tr><td>0.731-0.732</td><td>0</td></tr><tr><td>0.732-0.733</td><td>0</td></tr><tr><td>0.733-0.734</td><td>0</td></tr><tr><td>0.734-0.735</td><td>0</td></tr><tr><td>0.735-0.736</td><td>0</td></tr><tr><td>0.736-0.737</td><td>0</td></tr><tr><td>0.737-0.738</td><td>0</td></tr><tr><td>0.738-0.739</td><td>0</td></tr><tr><td>0.739-0.74</td><td>0</td></tr><tr><td>0.74-0.741</td><td>0</td></tr><tr><td>0.741-0.742</td><td>0</td></tr><tr><td>0.742-0.743</td><td>0</td></tr><tr><td>0.743-0.744</td><td>0</td></tr><tr><td>0.744-0.745</td><td>0</td></tr><tr><td>0.745-0.746</td><td>0</td></tr><tr><td>0.746-0.747</td><td>0</td></tr><tr><td>0.747-0.748</td><td>0</td></tr><tr><td>0.748-0.749</td><td>0</td></tr><tr><td>0.749-0.75</td><td>0</td></tr><tr><td>0.75-0.751</td><td>0</td></tr><tr><td>0.751-0.752</td><td>0</td></tr><tr><td>0.752-0.753</td><td>0</td></tr><tr><td>0.753-0.754</td><td>0</td></tr><tr><td>0.754-0.755</td><td>0</td></tr><tr><td>0.755-0.756</td><td>0</td></tr><tr><td>0.756-0.757</td><td>0</td></tr><tr><td>0.757-0.758</td><td>0</td></tr><tr><td>0.758-0.759</td><td>0</td></tr><tr><td>0.759-0.76</td><td>0</td></tr><tr><td>0.76-0.761</td><td>0</td></tr><tr><td>0.761-0.762</td><td>0</td></tr><tr><td>0.762-0.763</td><td>0</td></tr><tr><td>0.763-0.764</td><td>0</td></tr><tr><td>0.764-0.765</td><td>0</td></tr><tr><td>0.765-0.766</td><td>0</td></tr><tr><td>0.766-0.767</td><td>0</td></tr><tr><td>0.767-0.768</td><td>0</td></tr><tr><td>0.768-0.769</td><td>0</td></tr><tr><td>0.769-0.77</td><td>0</td></tr><tr><td>0.77-0.771</td><td>0</td></tr><tr><td>0.771-0.772</td><td>0</td></tr><tr><td>0.772-0.773</td><td>0</td></tr><tr><td>0.773-0.774</td><td>0</td></tr><tr><td>0.774-0.775</td><td>0</td></tr><tr><td>0.775-0.776</td><td>0</td></tr><tr><td>0.776-0.777</td><td>0</td></tr><tr><td>0.777-0.778</td><td>0</td></tr><tr><td>0.778-0.779</td><td>0</td></tr><tr><td>0.779-0.78</td><td>0</td></tr><tr><td>0.78-0.781</td><td>0</td></tr><tr><td>0.781-0.782</td><td>0</td></tr><tr><td>0.782-0.783</td><td>0</td></tr><tr><td>0.783-0.784</td><td>0</td></tr><tr><td>0.784-0.785</td><td>0</td></tr><tr><td>0.785-0.786</td><td>0</td></tr><tr><td>0.786-0.787</td><td>0</td></tr><tr><td>0.787-0.788</td><td>0</td></tr><tr><td>0.788-0.789</td><td>0</td></tr><tr><td>0.789-0.79</td><td>0</td></tr><tr><td>0.79-0.791</td><td>0</td></tr><tr><td>0.791-0.792</td><td>0</td></tr><tr><td>0.792-0.793</td><td>0</td></tr><tr><td>0.793-0.794</td><td>0</td></tr><tr><td>0.794-0.795</td><td>0</td></tr><tr><td>0.795-0.796</td><td>0</td></tr><tr><td>0.796-0.797</td><td>0</td></tr><tr><td>0.797-0.798</td><td>0</td></tr><tr><td>0.798-0.799</td><td>0</td></tr><tr><td>0.799-0.8</td><td>0</td></tr><tr><td>0.8-0.801</td><td>0</td></tr><tr><td>0.801-0.802</td><td>0</td></tr><tr><td>0.802-0.803</td><td>0</td></tr><tr><td>0.803-0.804</td><td>0</td></tr><tr><td>0.804-0.805</td><td>0</td></tr><tr><td>0.805-0.806</td><td>0</td></tr><tr><td>0.806-0.807</td><td>0</td></tr><tr><td>0.807-0.808</td><td>0</td></tr><tr><td>0.808-0.809</td><td>0</td></tr><tr><td>0.809-0.81</td><td>0</td></tr><tr><td>0.81-0.811</td><td>0</td></tr><tr><td>0.811-0.812</td><td>0</td></tr><tr><td>0.812-0.813</td><td>0</td></tr><tr><td>0.813-0.814</td><td>0</td></tr><tr><td>0.814-0.815</td><td>0</td></tr><tr><td>0.815-0.816</td><td>0</td></tr><tr><td>0.816-0.817</td><td>0</td></tr><tr><td>0.817-0.818</td><td>0</td></tr><tr><td>0.818-0.819</td><td>0</td></tr><tr><td>0.819-0.82</td><td>0</td></tr><tr><td>0.82-0.821</td><td>0</td></tr><tr><td>0.821-0.822</td><td>0</td></tr><tr><td>0.822-0.823</td><td>0</td></tr><tr><td>0.823-0.824</td><td>0</td></tr><tr><td>0.824-0.825</td><td>0</td></tr><tr><td>0.825-0.826</td><td>0</td></tr><tr><td>0.826-0.827</td><td>0</td></tr><tr><td>0.827-0.828</td><td>0</td></tr><tr><td>0.828-0.829</td><td>0</td></tr><tr><td>0.829-0.83</td><td>0</td></tr><tr><td>0.83-0.831</td><td>0</td></tr><tr><td>0.831-0.832</td><td>0</td></tr><tr><td>0.832-0.833</td><td>0</td></tr><tr><td>0.833-0.834</td><td>0</td></tr><tr><td>0.834-0.835</td><td>0</td></tr><tr><td>0.835-0.836</td><td>0</td></tr><tr><td>0.836-0.837</td><td>0</td></tr><tr><td>0.837-0.838</td><td>0</td></tr><tr><td>0.838-0.839</td><td>0</td></tr><tr><td>0.839-0.84</td><td>0</td></tr><tr><td>0.84-0.841</td><td>0</td></tr><tr><td>0.841-0.842</td><td>0</td></tr><tr><td>0.842-0.843</td><td>0</td></tr><tr><td>0.843-0.844</td><td>0</td></tr><tr><td>0.844-0.845</td><td>0</td></tr><tr><td>0.845-0.846</td><td>0</td></tr><tr><td>0.846-0.847</td><td>0</td></tr><tr><td>0.847-0.848</td><td>0</td></tr><tr><td>0.848-0.849</td><td>0</td></tr><tr><td>0.849-0.85</td><td>0</td></tr><tr><td>0.85-0.851</td><td>0</td></tr><tr><td>0.851-0.852</td><td>0</td></tr><tr><td>0.852-0.853</td><td>0</td></tr><tr><td>0.853-0.854</td><td>0</td></tr><tr><td>0.854-0.855</td><td>0</td></tr><tr><td>0.855-0.856</td><td>0</td></tr><tr><td>0.856-0.857</td><td>0</td></tr><tr><td>0.857-0.858</td><td>0</td></tr><tr><td>0.858-0.859</td><td>0</td></tr><tr><td>0.859-0.86</td><td>0</td></tr><tr><td>0.86-0.861</td><td>0</td></tr><tr><td>0.861-0.862</td><td>0</td></tr><tr><td>0.862-0.863</td><td>0</td></tr><tr><td>0.863-0.864</td><td>0</td></tr><tr><td>0.864-0.865</td><td>0</td></tr><tr><td>0.865-0.866</td><td>0</td></tr><tr><td>0.866-0.867</td><td>0</td></tr><tr><td>0.867-0.868</td><td>0</td></tr><tr><td>0.868-0.869</td><td>0</td></tr><tr><td>0.869-0.87</td><td>0</td></tr><tr><td>0.87-0.871</td><td>0</td></tr><tr><td>0.871-0.872</td><td>0</td></tr><tr><td>0.872-0.873</td><td>0</td></tr><tr><td>0.873-0.874</td><td>0</td></tr><tr><td>0.874-0.875</td><td>0</td></tr><tr><td>0.875-0.876</td><td>0</td></tr><tr><td>0.876-0.877</td><td>0</td></tr><tr><td>0.877-0.878</td><td>0</td></tr><tr><td>0.878-0.879</td><td>0</td></tr><tr><td>0.879-0.88</td><td>0</td></tr><tr><td>0.88-0.881</td><td>0</td></tr><tr><td>0.881-0.882</td><td>0</td></tr><tr><td>0.882-0.883</td><td>0</td></tr><tr><td>0.883-0.884</td><td>0</td></tr><tr><td>0.884-0.885</td><td>0</td></tr><tr><td>0.885-0.886</td><td>0</td></tr><tr><td>0.886-0.887</td><td>0</td></tr><tr><td>0.887-0.888</td><td>0</td></tr><tr><td>0.888-0.889</td><td>0</td></tr><tr><td>0.889-0.89</td><td>0</td></tr><tr><td>0.89-0.891</td><td>0</td></tr><tr><td>0.891-0.892</td><td>0</td></tr><tr><td>0.892-0.893</td><td>0</td></tr><tr><td>0.893-0.894</td><td>0</td></tr><tr><td>0.894-0.895</td><td>0</td></tr><tr><td>0.895-0.896</td><td>0</td></tr><tr><td>0.896-0.897</td><td>0</td></tr><tr><td>0.897-0.898</td><td>0</td></tr><tr><td>0.898-0.899</td><td>0</td></tr><tr><td>0.899-0.9</td><td>0</td></tr><tr><td>0.9-0.901</td><td>0</td></tr><tr><td>0.901-0.902</td><td>0</td></tr><tr><td>0.902-0.903</td><td>0</td></tr><tr><td>0.903-0.904</td><td>0</td></tr><tr><td>0.904-0.905</td><td>0</td></tr><tr><td>0.905-0.906</td><td>0</td></tr><tr><td>0.906-0.907</td><td>0</td></tr><tr><td>0.907-0.908</td><td>0</td></tr><tr><td>0.908-0.909</td><td>0</td></tr><tr><td>0.909-0.91</td><td>0</td></tr><tr><td>0.91-0.911</td><td>0</td></tr><tr><td>0.911-0.912</td><td>0</td></tr><tr><td>0.912-0.913</td><td>0</td></tr><tr><td>0.913-0.914</td><td>0</td></tr><tr><td>0.914-0.915</td><td>0</td></tr><tr><td>0.915-0.916</td><td>0</td></tr><tr><td>0.916-0.917</td><td>0</td></tr><tr><td>0.917-0.918</td><td>0</td></tr><tr><td>0.918-0.919</td><td>0</td></tr><tr><td>0.919-0.92</td><td>0</td></tr><tr><td>0.92-0.921</td><td>0</td></tr><tr><td>0.921-0.922</td><td>0</td></tr><tr><td>0.922-0.923</td><td>0</td></tr><tr><td>0.923-0.924</td><td>0</td></tr><tr><td>0.924-0.925</td><td>0</td></tr><tr><td>0.925-0.926</td><td>0</td></tr><tr><td>0.926-0.927</td><td>0</td></tr><tr><td>0.927-0.928</td><td>0</td></tr><tr><td>0.928-0.929</td><td>0</td></tr><tr><td>0.929-0.93</td><td>0</td></tr><tr><td>0.93-0.931</td><td>0</td></tr><tr><td>0.931-0.932</td><td>0</td></tr><tr><td>0.932-0.933</td><td>0</td></tr><tr><td>0.933-0.934</td><td>0</td></tr><tr><td>0.934-0.935</td><td>0</td></tr><tr><td>0.935-0.936</td><td>0</td></tr><tr><td>0.936-0.937</td><td>0</td></tr><tr><td>0.937-0.938</td><td>0</td></tr><tr><td>0.938-0.939</td><td>0</td></tr><tr><td>0.939-0.94</td><td>0</td></tr><tr><td>0.94-0.941</td><td>0</td></tr><tr><td>0.941-0.942</td><td>0</td></tr><tr><td>0.942-0.943</td><td>0</td></tr><tr><td>0.943-0.944</td><td>0</td></tr><tr><td>0.944-0.945</td><td>0</td></tr><tr><td>0.945-0.946</td><td>0</td></tr><tr><td>0.946-0.947</td><td>0</td></tr><tr><td>0.947-0.948</td><td>0</td></tr><tr><td>0.948-0.949</td><td>0</td></tr><tr><td>0.949-0.95</td><td>0</td></tr><tr><td>0.95-0.951</td><td>0</td></tr><tr><td>0.951-0.952</td><td>0</td></tr><tr><td>0.952-0.953</td><td>0</td></tr><tr><td>0.953-0.954</td><td>0</td></tr><tr><td>0.954-0.955</td><td>0</td></tr><tr><td>0.955-0.956</td><td>0</td></tr><tr><td>0.956-0.957</td><td>0</td></tr><tr><td>0.957-0.958</td><td>0</td></tr><tr><td>0.958-0.959</td><td>0</td></tr><tr><td>0.959-0.96</td><td>0</td></tr><tr><td>0.96-0.961</td><td>0</td></tr><tr><td>0.961-0.962</td><td>0</td></tr><tr><td>0.962-0.963</td><td>0</td></tr><tr><td>0.963-0.964</td><td>0</td></tr><tr><td>0.964-0.965</td><td>0</td></tr><tr><td>0.965-0.966</td><td>0</td></tr><tr><td>0.966-0.967</td><td>0</td></tr><tr><td>0.967-0.968</td><td>0</td></tr><tr><td>0.968-0.969</td><td>0</td></tr><tr><td>0.969-0.97</td><td>0</td></tr><tr><td>0.97-0.971</td><td>0</td></tr><tr><td>0.971-0.972</td><td>0</td></tr><tr><td>0.972-0.973</td><td>0</td></tr><tr><td>0.973-0.974</td><td>0</td></tr><tr><td>0.974-0.975</td><td>0</td></tr><tr><td>0.975-0.976</td><td>0</td></tr><tr><td>0.976-0.977</td><td>0</td></tr><tr><td>0.977-0.978</td><td>0</td></tr><tr><td>0.978-0.979</td><td>0</td></tr><tr><td>0.979-0.98</td><td>0</td></tr></table>"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%%dataframe --limit 1000\n",
"supHist"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<table><tr><th>antecedent</th><th>consequent</th><th>support</th><th>confidence</th><th>lift</th></tr><tr><td>WrappedArray(csmethod-GET)</td><td>WrappedArray(csuriport-80)</td><td>0.5091544309023305</td><td>0.9943866658185297</td><td>1.7221138017302193</td></tr><tr><td>WrappedArray(csuriport-80)</td><td>WrappedArray(csmethod-GET)</td><td>0.5091544309023305</td><td>0.8817715510567937</td><td>1.7221138017302193</td></tr></table>"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"%%dataframe --limit 1000\n",
"rulesWithSupportConfidenceLift.filter(col(SUPPORTCOL) >= 0.5)"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Array(0.5091544309023305, 0.5091544309023305)"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"val sups = {\n",
" val s = spark.implicits\n",
" import s._\n",
" rulesWithSupportConfidenceLift.\n",
" select(col(SUPPORTCOL)).\n",
" map(_.getDouble(0)).\n",
" rdd\n",
"}\n",
"sups.filter( x => x>0.5).take(3)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"Magic brunel failed to execute with error: \n",
"compile-time error"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"// %%brunel data('supHist') bar x(value) y(data) style(\"size:100%\")"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Apache Toree - Scala",
"language": "scala",
"name": "apache_toree_scala"
},
"language_info": {
"file_extension": ".scala",
"name": "scala",
"version": "2.11.8"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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