LuckCalculator.ipynb

{
  "cells" : [ {
    "metadata" : { },
    "cell_type" : "markdown",
    "source" : [ "# Luck-Meter Exploration\n", "\n", "This notebook is an attempt to explore different ways of representing “luck” in Blood Bowl. \"Luck\" is not well-defined, and will likely mean different things dependig on the context, so the goal of this notebook is to examine several possible approaches and compare them against each other. Ideally finding a way to represent this in the Jervis FFB Client.\n", "\n", "Most statistical analysis requires that we can assign probabilities to rolls. For some rolls, like Dodges or Rushes, this is trivial. For others, like block dice, it gets harder as it is unclear how to treat pushes, e.g., during one-turn-attempts they are probably \"success\" while during normal play, they are at best \"neutral\" (with exceptions). And finally, we have rolls like bounces that are close to impossible to assign success probabilities to.\n", "\n", "For now, we just examine the simple case of rolling single D6 with clear failure/success probabilities.\n", "\n", "**Caveat:** I am not a trained statistician, so it is very likely I am using some terms in this notebook imprecise or wrong. A lot of the implementations and wordings in this notebook came from either Wikipedia or ChatGPT." ],
    "id" : "59a96b414314441c"
  }, {
    "metadata" : { },
    "cell_type" : "markdown",
    "source" : [ "### How to look at dice rolls?\n", "\n", "When rolling dice in Blood Bowl, we are looking at two properties:\n", "1) We want them to be fair, i.e., each value needs to roll each value roughly the same number of times (16.67%).\n", "2) We want to roll the target number (e.g. 4+) every time. If we do, we say we are \"lucky\".\n", "\n", "Some observations:\n", "- These two properties are not connected, but generally it will not be possible to be maximally lucky using fair dice.\n", "- The same set of rolls can result in very different \"luck\" values. E.g. if you use all you 6's on 2+ dodges vs. using them rolling for armor.\n", "\n", "\n", "### Statistical analysis of dice rolls\n", "\n", "If we are rolling _n_ D6, each with their own probability of success. The following properties are true:\n", "\n", "* The total number of successes X is the sum of n independent but non-identical Bernoulli random variables.\n", "* That distribution of this is the Poisson Binomial Distribution.\n", "* For the amount of dice rolls in Blood Bowl, we expect 100-200 rolls and their probability of success is between\n", "  0.83 and 0.16. In this case the Normal Distribution can be used as an approximation.\n" ],
    "id" : "e624aa99c2987b1c"
  }, {
    "metadata" : {
      "ExecuteTime" : {
        "end_time" : "2025-08-21T14:34:02.662018Z",
        "start_time" : "2025-08-21T14:33:59.284222Z"
      }
    },
    "cell_type" : "code",
    "source" : "%use dataframe, kandy",
    "id" : "4120b9c33fe16d2d",
    "outputs" : [ ],
    "execution_count" : 1
  }, {
    "metadata" : {
      "ExecuteTime" : {
        "end_time" : "2025-08-21T14:34:03.379499Z",
        "start_time" : "2025-08-21T14:34:02.668800Z"
      }
    },
    "cell_type" : "code",
    "source" : [ "import kotlin.random.Random\n", "\n", "// First we setup some helpers and create the distributions we want\n", "// to investigate. For now, we only look at single D6's\n", "\n", "// Set to hard-coded value to reproduce results\n", "val seed = 8033212925733483815 // Random.nextLong()\n", "val random = Random(seed)\n", "\n", "/**\n", " * Die that can be configured to unfair.\n", " *\n", " * [bias] determines the percentage a given range is selected\n", " * [towardsLow] determines if [bias] is applied to 1-3 (on D6) or 4-6 (on D6)\n", " */\n", "fun skewedDie(\n", "    sides: Int = 6,\n", "    bias: Double = 0.5,\n", "    towardsLow: Boolean = true\n", "): Int {\n", "    require(sides >= 2) { \"Die must have at least 2 sides\" }\n", "    require(bias in 0.0..1.0) { \"Bias must be between 0.0 and 1.0\" }\n", "\n", "    val half = sides / 2\n", "    val lowCount = half + if (sides % 2 != 0) 1 else 0\n", "    val highCount = sides - lowCount\n", "\n", "    val (favoredCount, unfavoredCount) =\n", "        if (towardsLow) lowCount to highCount else highCount to lowCount\n", "\n", "    val pFav = bias / favoredCount\n", "    val pUnfav = (1 - bias) / unfavoredCount\n", "\n", "    val r = random.nextDouble()\n", "    var acc = 0.0\n", "\n", "    if (towardsLow) {\n", "        for (i in 1..lowCount) {\n", "            acc += pFav\n", "            if (r < acc) return i\n", "        }\n", "        for (i in (lowCount + 1)..sides) {\n", "            acc += pUnfav\n", "            if (r < acc) return i\n", "        }\n", "    } else {\n", "        for (i in 1..lowCount) {\n", "            acc += pUnfav\n", "            if (r < acc) return i\n", "        }\n", "        for (i in (lowCount + 1)..sides) {\n", "            acc += pFav\n", "            if (r < acc) return i\n", "        }\n", "    }\n", "    return sides // fallback due to rounding\n", "}\n", "\n", "@DataSchema\n", "data class DiceRoll(val roll: Int, val target: Int, val sides: Int) {\n", "    fun successPropability(): Double {\n", "        return (sides - (target - 1)) / sides.toDouble()\n", "    }\n", "    fun failurePropability(): Double {\n", "        if (target > sides) return 1.0\n", "        return (target - 1) / sides.toDouble()\n", "    }\n", "    fun neturalPropability() = 0.0\n", "    fun isSuccess() = roll >= target\n", "    fun isFailure() = roll < target\n", "}" ],
    "id" : "fe97ccc62aa12d7c",
    "outputs" : [ ],
    "execution_count" : 2
  }, {
    "metadata" : {
      "ExecuteTime" : {
        "end_time" : "2025-08-21T14:34:03.749613Z",
        "start_time" : "2025-08-21T14:34:03.404506Z"
      }
    },
    "cell_type" : "code",
    "source" : [ "// Create the distributions we want to test.\n", "// Make sure the amount of rolls are divisible by 6, as it makes it easier\n", "// to compare results later.\n", "val rolls: Int = 20 * 6\n", "val d6BucketSize: Int = rolls / 6\n", "\n", "// All dice roll the same value\n", "val allOnes = (1..rolls).map {\n", "    DiceRoll(1, random.nextInt(2, 7), 6)\n", "}\n", "val allSixes = (1..rolls).map {\n", "    DiceRoll(6, random.nextInt(2, 7), 6)\n", "}\n", "\n", "// Even buckets, all fail\n", "val fairDiceAllFail = (1..rolls).map { n ->\n", "    val roll = ((n - 1) / d6BucketSize) + 1 // Set dice value based on \"bucket\n", "    DiceRoll(roll, 7, 6)\n", "}\n", "val fairDiceAllSucceed = (1..rolls).map { n ->\n", "    val roll = ((n - 1) / d6BucketSize) + 1 // Set dice value based on \"bucket\n", "    DiceRoll(roll, 1, 6)\n", "}\n", "\n", "// Even distribution of dice. Target roll of 4 (=50% success)\n", "val fairDiceHalfSucceed = (1..rolls).map { n ->\n", "    val roll = ((n - 1) / d6BucketSize) + 1 // Set dice value based on \"bucket\n", "    DiceRoll(roll, 4, 6)\n", "}\n", "\n", "// Distribution skewed with 75% towards the bottom\n", "val skewedTowardsBottomHalf = (1..rolls).map { n ->\n", "    val roll = skewedDie(sides = 6, bias = 0.75, towardsLow = true)\n", "    val target = random.nextInt(2, 7)\n", "    DiceRoll(roll, target, 6)\n", "}\n", "\n", "// Distribution skewed with 75% towards the top\n", "val skewedTowardsTopHalf = (1..rolls).map { n ->\n", "    val roll = skewedDie(sides = 6, bias = 0.75, towardsLow = false)\n", "    val target = random.nextInt(2, 7)\n", "    DiceRoll(roll, target, 6)\n", "}\n", "\n", "// Random roll and target between 2-6\n", "val random1 = (1..rolls).map { n ->\n", "    val roll = random.nextInt(1, 7)\n", "    val target = random.nextInt(2, 7)\n", "    DiceRoll(roll, target, 6)\n", "}\n", "\n", "// Random roll and target between 2-6\n", "val random2 = (1..rolls).map { n ->\n", "    val roll = random.nextInt(1, 7)\n", "    val target = random.nextInt(2, 7)\n", "    DiceRoll(roll, target, 6)\n", "}\n", "\n", "// Random roll and target between 2-6\n", "val random3 = (1..rolls).map { n ->\n", "    val roll = random.nextInt(1, 7)\n", "    val target = random.nextInt(2, 7)\n", "    DiceRoll(roll, target, 6)\n", "}\n", "\n", "// Random roll with target 4+\n", "val randomDiceWith4Target = (1..rolls).map {\n", "    val roll = random.nextInt(1, 7)\n", "    DiceRoll(roll, 4, 6)\n", "}\n", "\n", "val distributions = listOf(\n", "    \"All 1's\" to allOnes,\n", "    \"All 6's\" to allSixes,\n", "    \"Even buckets - All fail\" to fairDiceAllFail,\n", "    \"Even buckets - All succed\" to fairDiceAllSucceed,\n", "    \"Even buckets - Half succeed\" to fairDiceHalfSucceed,\n", "    \"Scewed towards bottom\" to skewedTowardsBottomHalf,\n", "    \"Scewed towards top\" to skewedTowardsTopHalf,\n", "    \"Random (4+)\" to randomDiceWith4Target,\n", "    \"Random 1\"  to random1,\n", "    \"Random 2\" to random2,\n", "    \"Random 3\" to random3\n", ")" ],
    "id" : "b9560acdf7223042",
    "outputs" : [ ],
    "execution_count" : 3
  }, {
    "metadata" : {
      "ExecuteTime" : {
        "end_time" : "2025-08-21T14:34:04.755117Z",
        "start_time" : "2025-08-21T14:34:03.801985Z"
      }
    },
    "cell_type" : "code",
    "source" : [ "// Bucket rolls (how many of each dice was rolled).\n", "// For fair dice we expect 20 in each bucket.\n", "val rollDistributions = distributions.map {\n", "    val title = it.first\n", "    val df = it.second.toDataFrame()\n", "    title to df.groupBy { roll }.count()\n", "}.let { dfs ->\n", "    // ensure full dice set {1..6}, fill missing with 0\n", "    dfs.map { (name, df) ->\n", "        (1..6).toDataFrame(\"roll\")\n", "            .leftJoin(df) { \"roll\" match \"roll\" }\n", "            .fillNA(\"count\").withZero()\n", "            .rename(\"count\").into(name)\n", "    }.reduce { acc, df ->\n", "        acc.join(df) { \"roll\" match \"roll\" }\n", "    }\n", "}.gather { allExcept(\"roll\") }\n", "    .into(\"distribution\", \"value\")\n", "    .groupBy(\"distribution\")\n", "    .pivot(\"roll\")\n", "    .aggregate { first().get(\"value\") }\n", "    .flatten()\n", "rollDistributions" ],
    "id" : "67f398fa5ea2e16b",
    "outputs" : [ {
      "data" : {
        "text/html" : [ "            <iframe onload=\"o_resize_iframe_out_1()\" style=\"width:100%;\" class=\"result_container\" id=\"iframe_out_1\" frameBorder=\"0\" srcdoc=\"        &lt;html theme='dark'&gt;\n", "        &lt;head&gt;\n", "            &lt;style type=&quot;text&sol;css&quot;&gt;\n", "                :root {\n", "    --background: #fff;\n", "    --background-odd: #f5f5f5;\n", "    --background-hover: #d9edfd;\n", "    --header-text-color: #474747;\n", "    --text-color: #848484;\n", "    --text-color-dark: #000;\n", "    --text-color-medium: #737373;\n", "    --text-color-pale: #b3b3b3;\n", "    --inner-border-color: #aaa;\n", "    --bold-border-color: #000;\n", "    --link-color: #296eaa;\n", "    --link-color-pale: #296eaa;\n", "    --link-hover: #1a466c;\n", "}\n", "\n", ":root[theme=&quot;dark&quot;], :root [data-jp-theme-light=&quot;false&quot;], .dataframe_dark{\n", "    --background: #303030;\n", "    --background-odd: #3c3c3c;\n", "    --background-hover: #464646;\n", "    --header-text-color: #dddddd;\n", "    --text-color: #b3b3b3;\n", "    --text-color-dark: #dddddd;\n", "    --text-color-medium: #b2b2b2;\n", "    --text-color-pale: #737373;\n", "    --inner-border-color: #707070;\n", "    --bold-border-color: #777777;\n", "    --link-color: #008dc0;\n", "    --link-color-pale: #97e1fb;\n", "    --link-hover: #00688e;\n", "}\n", "\n", "p.dataframe_description {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe {\n", "    font-family: &quot;Helvetica Neue&quot;, Helvetica, Arial, sans-serif;\n", "    font-size: 12px;\n", "    background-color: var(--background);\n", "    color: var(--text-color-dark);\n", "    border: none;\n", "    border-collapse: collapse;\n", "}\n", "\n", "table.dataframe th, td {\n", "    padding: 6px;\n", "    border: 1px solid transparent;\n", "    text-align: left;\n", "}\n", "\n", "table.dataframe th {\n", "    background-color: var(--background);\n", "    color: var(--header-text-color);\n", "}\n", "\n", "table.dataframe td {\n", "    vertical-align: top;\n", "    white-space: nowrap;\n", "}\n", "\n", "table.dataframe th.bottomBorder {\n", "    border-bottom-color: var(--bold-border-color);\n", "}\n", "\n", "table.dataframe tbody &gt; tr:nth-child(odd) {\n", "    background: var(--background-odd);\n", "}\n", "\n", "table.dataframe tbody &gt; tr:nth-child(even) {\n", "    background: var(--background);\n", "}\n", "\n", "table.dataframe tbody &gt; tr:hover {\n", "    background: var(--background-hover);\n", "}\n", "\n", "table.dataframe a {\n", "    cursor: pointer;\n", "    color: var(--link-color);\n", "    text-decoration: none;\n", "}\n", "\n", "table.dataframe tr:hover &gt; td a {\n", "    color: var(--link-color-pale);\n", "}\n", "\n", "table.dataframe a:hover {\n", "    color: var(--link-hover);\n", "    text-decoration: underline;\n", "}\n", "\n", "table.dataframe img {\n", "    max-width: fit-content;\n", "}\n", "\n", "table.dataframe th.complex {\n", "    background-color: var(--background);\n", "    border: 1px solid var(--background);\n", "}\n", "\n", "table.dataframe .leftBorder {\n", "    border-left-color: var(--inner-border-color);\n", "}\n", "\n", "table.dataframe .rightBorder {\n", "    border-right-color: var(--inner-border-color);\n", "}\n", "\n", "table.dataframe .rightAlign {\n", "    text-align: right;\n", "}\n", "\n", "table.dataframe .expanderSvg {\n", "    width: 8px;\n", "    height: 8px;\n", "    margin-right: 3px;\n", "}\n", "\n", "table.dataframe .expander {\n", "    display: flex;\n", "    align-items: center;\n", "}\n", "\n", "&sol;* formatting *&sol;\n", "\n", "table.dataframe .null {\n", "    color: var(--text-color-pale);\n", "}\n", "\n", "table.dataframe .structural {\n", "    color: var(--text-color-medium);\n", "    font-weight: bold;\n", "}\n", "\n", "table.dataframe .dataFrameCaption {\n", "    font-weight: bold;\n", "}\n", "\n", "table.dataframe .numbers {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe td:hover .formatted .structural, .null {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe tr:hover .formatted .structural, .null {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "\n", ":root {\n", "    --scroll-bg: #f5f5f5;\n", "    --scroll-fg: #b3b3b3;\n", "}\n", ":root[theme=&quot;dark&quot;], :root [data-jp-theme-light=&quot;false&quot;]{\n", "    --scroll-bg: #3c3c3c;\n", "    --scroll-fg: #97e1fb;\n", "}\n", "body {\n", "    scrollbar-color: var(--scroll-fg) var(--scroll-bg);\n", "}\n", "body::-webkit-scrollbar {\n", "    width: 10px; &sol;* Mostly for vertical scrollbars *&sol;\n", "    height: 10px; &sol;* Mostly for horizontal scrollbars *&sol;\n", "}\n", "body::-webkit-scrollbar-thumb {\n", "    background-color: var(--scroll-fg);\n", "}\n", "body::-webkit-scrollbar-track {\n", "    background-color: var(--scroll-bg);\n", "}\n", "            &lt;&sol;style&gt;\n", "        &lt;&sol;head&gt;\n", "        &lt;body&gt;\n", "            &lt;table class=&quot;dataframe&quot; id=&quot;df_-1157627904&quot;&gt;&lt;&sol;table&gt;\n", "\n", "&lt;p class=&quot;dataframe_description&quot;&gt;DataFrame: rowsCount = 11, columnsCount = 7&lt;&sol;p&gt;\n", "\n", "        &lt;&sol;body&gt;\n", "        &lt;script&gt;\n", "            (function () {\n", "    window.DataFrame = window.DataFrame || new (function () {\n", "        this.addTable = function (df) {\n", "            let cols = df.cols;\n", "            for (let i = 0; i &lt; cols.length; i++) {\n", "                for (let c of cols[i].children) {\n", "                    cols[c].parent = i;\n", "                }\n", "            }\n", "            df.nrow = 0\n", "            for (let i = 0; i &lt; df.cols.length; i++) {\n", "                if (df.cols[i].values.length &gt; df.nrow) df.nrow = df.cols[i].values.length\n", "            }\n", "            if (df.id === df.rootId) {\n", "                df.expandedFrames = new Set()\n", "                df.childFrames = {}\n", "                const table = this.getTableElement(df.id)\n", "                table.df = df\n", "                for (let i = 0; i &lt; df.cols.length; i++) {\n", "                    let col = df.cols[i]\n", "                    if (col.parent === undefined &amp;&amp; col.children.length &gt; 0) col.expanded = true\n", "                }\n", "            } else {\n", "                const rootDf = this.getTableData(df.rootId)\n", "                rootDf.childFrames[df.id] = df\n", "            }\n", "        }\n", "\n", "        this.computeRenderData = function (df) {\n", "            let result = []\n", "            let pos = 0\n", "            for (let col = 0; col &lt; df.cols.length; col++) {\n", "                if (df.cols[col].parent === undefined)\n", "                    pos += this.computeRenderDataRec(df.cols, col, pos, 0, result, false, false)\n", "            }\n", "            for (let i = 0; i &lt; result.length; i++) {\n", "                let row = result[i]\n", "                for (let j = 0; j &lt; row.length; j++) {\n", "                    let cell = row[j]\n", "                    if (j === 0)\n", "                        cell.leftBd = false\n", "                    if (j &lt; row.length - 1) {\n", "                        let nextData = row[j + 1]\n", "                        if (nextData.leftBd) cell.rightBd = true\n", "                        else if (cell.rightBd) nextData.leftBd = true\n", "                    } else cell.rightBd = false\n", "                }\n", "            }\n", "            return result\n", "        }\n", "\n", "        this.computeRenderDataRec = function (cols, colId, pos, depth, result, leftBorder, rightBorder) {\n", "            if (result.length === depth) {\n", "                const array = [];\n", "                if (pos &gt; 0) {\n", "                    let j = 0\n", "                    for (let i = 0; j &lt; pos; i++) {\n", "                        let c = result[depth - 1][i]\n", "                        j += c.span\n", "                        let copy = Object.assign({empty: true}, c)\n", "                        array.push(copy)\n", "                    }\n", "                }\n", "                result.push(array)\n", "            }\n", "            const col = cols[colId];\n", "            let size = 0;\n", "            if (col.expanded) {\n", "                let childPos = pos\n", "                for (let i = 0; i &lt; col.children.length; i++) {\n", "                    let child = col.children[i]\n", "                    let childLeft = i === 0 &amp;&amp; (col.children.length &gt; 1 || leftBorder)\n", "                    let childRight = i === col.children.length - 1 &amp;&amp; (col.children.length &gt; 1 || rightBorder)\n", "                    let childSize = this.computeRenderDataRec(cols, child, childPos, depth + 1, result, childLeft, childRight)\n", "                    childPos += childSize\n", "                    size += childSize\n", "                }\n", "            } else {\n", "                for (let i = depth + 1; i &lt; result.length; i++)\n", "                    result[i].push({id: colId, span: 1, leftBd: leftBorder, rightBd: rightBorder, empty: true})\n", "                size = 1\n", "            }\n", "            let left = leftBorder\n", "            let right = rightBorder\n", "            if (size &gt; 1) {\n", "                left = true\n", "                right = true\n", "            }\n", "            result[depth].push({id: colId, span: size, leftBd: left, rightBd: right})\n", "            return size\n", "        }\n", "\n", "        this.getTableElement = function (id) {\n", "            return document.getElementById(&quot;df_&quot; + id)\n", "        }\n", "\n", "        this.getTableData = function (id) {\n", "            return this.getTableElement(id).df\n", "        }\n", "\n", "        this.createExpander = function (isExpanded) {\n", "            const svgNs = &quot;http:&sol;&sol;www.w3.org&sol;2000&sol;svg&quot;\n", "            let svg = document.createElementNS(svgNs, &quot;svg&quot;)\n", "            svg.classList.add(&quot;expanderSvg&quot;)\n", "            let path = document.createElementNS(svgNs, &quot;path&quot;)\n", "            if (isExpanded) {\n", "                svg.setAttribute(&quot;viewBox&quot;, &quot;0 -2 8 8&quot;)\n", "                path.setAttribute(&quot;d&quot;, &quot;M1 0 l-1 1 4 4 4 -4 -1 -1 -3 3Z&quot;)\n", "            } else {\n", "                svg.setAttribute(&quot;viewBox&quot;, &quot;-2 0 8 8&quot;)\n", "                path.setAttribute(&quot;d&quot;, &quot;M1 0 l-1 1 3 3 -3 3 1 1 4 -4Z&quot;)\n", "            }\n", "            path.setAttribute(&quot;fill&quot;, &quot;currentColor&quot;)\n", "            svg.appendChild(path)\n", "            return svg\n", "        }\n", "\n", "        this.renderTable = function (id) {\n", "\n", "            let table = this.getTableElement(id)\n", "\n", "            if (table === null) return\n", "\n", "            table.innerHTML = &quot;&quot;\n", "\n", "            let df = table.df\n", "            let rootDf = df.rootId === df.id ? df : this.getTableData(df.rootId)\n", "\n", "            &sol;&sol; header\n", "            let header = document.createElement(&quot;thead&quot;)\n", "            table.appendChild(header)\n", "\n", "            let renderData = this.computeRenderData(df)\n", "            for (let j = 0; j &lt; renderData.length; j++) {\n", "                let rowData = renderData[j]\n", "                let tr = document.createElement(&quot;tr&quot;);\n", "                let isLastRow = j === renderData.length - 1\n", "                header.appendChild(tr);\n", "                for (let i = 0; i &lt; rowData.length; i++) {\n", "                    let cell = rowData[i]\n", "                    let th = document.createElement(&quot;th&quot;);\n", "                    th.setAttribute(&quot;colspan&quot;, cell.span)\n", "                    let colId = cell.id\n", "                    let col = df.cols[colId];\n", "                    if (!cell.empty) {\n", "                        if (col.children.length === 0) {\n", "                            th.innerHTML = col.name\n", "                        } else {\n", "                            let link = document.createElement(&quot;a&quot;)\n", "                            link.className = &quot;expander&quot;\n", "                            let that = this\n", "                            link.onclick = function () {\n", "                                col.expanded = !col.expanded\n", "                                that.renderTable(id)\n", "                            }\n", "                            link.appendChild(this.createExpander(col.expanded))\n", "                            link.innerHTML += col.name\n", "                            th.appendChild(link)\n", "                        }\n", "                    }\n", "                    let classes = (cell.leftBd ? &quot; leftBorder&quot; : &quot;&quot;) + (cell.rightBd ? &quot; rightBorder&quot; : &quot;&quot;)\n", "                    if (col.rightAlign)\n", "                        classes += &quot; rightAlign&quot;\n", "                    if (isLastRow)\n", "                        classes += &quot; bottomBorder&quot;\n", "                    if (classes.length &gt; 0)\n", "                        th.setAttribute(&quot;class&quot;, classes)\n", "                    tr.appendChild(th)\n", "                }\n", "            }\n", "\n", "            &sol;&sol; body\n", "            let body = document.createElement(&quot;tbody&quot;)\n", "            table.appendChild(body)\n", "\n", "            let columns = renderData.pop()\n", "            for (let row = 0; row &lt; df.nrow; row++) {\n", "                let tr = document.createElement(&quot;tr&quot;);\n", "                body.appendChild(tr)\n", "                for (let i = 0; i &lt; columns.length; i++) {\n", "                    let cell = columns[i]\n", "                    let td = document.createElement(&quot;td&quot;);\n", "                    let colId = cell.id\n", "                    let col = df.cols[colId]\n", "                    let classes = (cell.leftBd ? &quot; leftBorder&quot; : &quot;&quot;) + (cell.rightBd ? &quot; rightBorder&quot; : &quot;&quot;)\n", "                    if (col.rightAlign)\n", "                        classes += &quot; rightAlign&quot;\n", "                    if (classes.length &gt; 0)\n", "                        td.setAttribute(&quot;class&quot;, classes)\n", "                    tr.appendChild(td)\n", "                    let value = col.values[row]\n", "                    if (value.frameId !== undefined) {\n", "                        let frameId = value.frameId\n", "                        let expanded = rootDf.expandedFrames.has(frameId)\n", "                        let link = document.createElement(&quot;a&quot;)\n", "                        link.className = &quot;expander&quot;\n", "                        let that = this\n", "                        link.onclick = function () {\n", "                            if (rootDf.expandedFrames.has(frameId))\n", "                                rootDf.expandedFrames.delete(frameId)\n", "                            else rootDf.expandedFrames.add(frameId)\n", "                            that.renderTable(id)\n", "                        }\n", "                        link.appendChild(this.createExpander(expanded))\n", "                        link.innerHTML += value.value\n", "                        if (expanded) {\n", "                            td.appendChild(link)\n", "                            td.appendChild(document.createElement(&quot;p&quot;))\n", "                            const childTable = document.createElement(&quot;table&quot;)\n", "                            childTable.className = &quot;dataframe&quot;\n", "                            childTable.id = &quot;df_&quot; + frameId\n", "                            let childDf = rootDf.childFrames[frameId]\n", "                            childTable.df = childDf\n", "                            td.appendChild(childTable)\n", "                            this.renderTable(frameId)\n", "                            if (childDf.nrow !== childDf.totalRows) {\n", "                                const footer = document.createElement(&quot;p&quot;)\n", "                                footer.innerText = `... showing only top ${childDf.nrow} of ${childDf.totalRows} rows`\n", "                                td.appendChild(footer)\n", "                            }\n", "                        } else {\n", "                            td.appendChild(link)\n", "                        }\n", "                    } else if (value.style !== undefined) {\n", "                        td.innerHTML = value.value\n", "                        td.setAttribute(&quot;style&quot;, value.style)\n", "                    } else td.innerHTML = value\n", "                    this.nodeScriptReplace(td)\n", "                }\n", "            }\n", "        }\n", "\n", "        this.nodeScriptReplace = function (node) {\n", "            if (this.nodeScriptIs(node) === true) {\n", "                node.parentNode.replaceChild(this.nodeScriptClone(node), node);\n", "            } else {\n", "                let i = -1, children = node.childNodes;\n", "                while (++i &lt; children.length) {\n", "                    this.nodeScriptReplace(children[i]);\n", "                }\n", "            }\n", "\n", "            return node;\n", "        }\n", "\n", "        this.nodeScriptClone = function (node) {\n", "            let script = document.createElement(&quot;script&quot;);\n", "            script.text = node.innerHTML;\n", "\n", "            let i = -1, attrs = node.attributes, attr;\n", "            while (++i &lt; attrs.length) {\n", "                script.setAttribute((attr = attrs[i]).name, attr.value);\n", "            }\n", "            return script;\n", "        }\n", "\n", "        this.nodeScriptIs = function (node) {\n", "            return node.tagName === 'SCRIPT';\n", "        }\n", "    })()\n", "\n", "    window.call_DataFrame = function (f) {\n", "        return f();\n", "    };\n", "\n", "    let funQueue = window[&quot;kotlinQueues&quot;] &amp;&amp; window[&quot;kotlinQueues&quot;][&quot;DataFrame&quot;];\n", "    if (funQueue) {\n", "        funQueue.forEach(function (f) {\n", "            f();\n", "        });\n", "        funQueue = [];\n", "    }\n", "})()\n", "\n", "&sol;*&lt;!--*&sol;\n", "call_DataFrame(function() { DataFrame.addTable({ cols: [{ name: &quot;&lt;span title=&bsol;&quot;distribution: String&bsol;&quot;&gt;distribution&lt;&sol;span&gt;&quot;, children: [], rightAlign: false, values: [&quot;All 1&amp;#39;s&quot;,&quot;All 6&amp;#39;s&quot;,&quot;Even buckets - All fail&quot;,&quot;Even buckets - All succed&quot;,&quot;Even buckets - Half succeed&quot;,&quot;Scewed towards bottom&quot;,&quot;Scewed towards top&quot;,&quot;Random (4+)&quot;,&quot;Random 1&quot;,&quot;Random 2&quot;,&quot;Random 3&quot;] }, \n", "{ name: &quot;&lt;span title=&bsol;&quot;1: Int&bsol;&quot;&gt;1&lt;&sol;span&gt;&quot;, children: [], rightAlign: true, values: [&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;120&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;20&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;20&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;20&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;28&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;9&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;22&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;27&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;20&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;19&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;] }, \n", "{ name: &quot;&lt;span title=&bsol;&quot;2: Int&bsol;&quot;&gt;2&lt;&sol;span&gt;&quot;, children: [], rightAlign: true, values: [&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;20&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;20&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;20&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;37&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;10&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;16&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;16&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;15&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;16&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;] }, \n", "{ name: &quot;&lt;span title=&bsol;&quot;3: Int&bsol;&quot;&gt;3&lt;&sol;span&gt;&quot;, children: [], rightAlign: true, values: [&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;20&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;20&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;20&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;26&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;10&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;23&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;22&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;19&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;18&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;] }, \n", "{ name: &quot;&lt;span title=&bsol;&quot;4: Int&bsol;&quot;&gt;4&lt;&sol;span&gt;&quot;, children: [], rightAlign: true, values: [&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;20&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;20&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;20&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;9&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;22&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;21&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;15&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;24&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;26&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;] }, \n", "{ name: &quot;&lt;span title=&bsol;&quot;5: Int&bsol;&quot;&gt;5&lt;&sol;span&gt;&quot;, children: [], rightAlign: true, values: [&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;20&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;20&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;20&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;10&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;41&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;19&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;20&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;23&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;18&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;] }, \n", "{ name: &quot;&lt;span title=&bsol;&quot;6: Int&bsol;&quot;&gt;6&lt;&sol;span&gt;&quot;, children: [], rightAlign: true, values: [&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;120&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;20&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;20&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;20&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;10&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;28&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;19&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;20&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;19&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;23&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;] }, \n", "], id: -1157627904, rootId: -1157627904, totalRows: 11 } ) });\n", "&sol;*--&gt;*&sol;\n", "\n", "call_DataFrame(function() { DataFrame.renderTable(-1157627904) });\n", "\n", "\n", "        &lt;&sol;script&gt;\n", "        &lt;&sol;html&gt;\"></iframe>\n", "            <script>\n", "                function o_resize_iframe_out_1() {\n", "                    let elem = document.getElementById(\"iframe_out_1\");\n", "                    resize_iframe_out_1(elem);\n", "                    setInterval(resize_iframe_out_1, 5000, elem);\n", "                }\n", "                function resize_iframe_out_1(el) {\n", "                    let h = el.contentWindow.document.body.scrollHeight;\n", "                    el.height = h === 0 ? 0 : h + 41;\n", "                }\n", "            </script>        <html theme='dark'>\n", "        <head>\n", "            <style type=\"text/css\">\n", "                :root {\n", "    --background: #fff;\n", "    --background-odd: #f5f5f5;\n", "    --background-hover: #d9edfd;\n", "    --header-text-color: #474747;\n", "    --text-color: #848484;\n", "    --text-color-dark: #000;\n", "    --text-color-medium: #737373;\n", "    --text-color-pale: #b3b3b3;\n", "    --inner-border-color: #aaa;\n", "    --bold-border-color: #000;\n", "    --link-color: #296eaa;\n", "    --link-color-pale: #296eaa;\n", "    --link-hover: #1a466c;\n", "}\n", "\n", ":root[theme=\"dark\"], :root [data-jp-theme-light=\"false\"], .dataframe_dark{\n", "    --background: #303030;\n", "    --background-odd: #3c3c3c;\n", "    --background-hover: #464646;\n", "    --header-text-color: #dddddd;\n", "    --text-color: #b3b3b3;\n", "    --text-color-dark: #dddddd;\n", "    --text-color-medium: #b2b2b2;\n", "    --text-color-pale: #737373;\n", "    --inner-border-color: #707070;\n", "    --bold-border-color: #777777;\n", "    --link-color: #008dc0;\n", "    --link-color-pale: #97e1fb;\n", "    --link-hover: #00688e;\n", "}\n", "\n", "p.dataframe_description {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe {\n", "    font-family: \"Helvetica Neue\", Helvetica, Arial, sans-serif;\n", "    font-size: 12px;\n", "    background-color: var(--background);\n", "    color: var(--text-color-dark);\n", "    border: none;\n", "    border-collapse: collapse;\n", "}\n", "\n", "table.dataframe th, td {\n", "    padding: 6px;\n", "    border: 1px solid transparent;\n", "    text-align: left;\n", "}\n", "\n", "table.dataframe th {\n", "    background-color: var(--background);\n", "    color: var(--header-text-color);\n", "}\n", "\n", "table.dataframe td {\n", "    vertical-align: top;\n", "    white-space: nowrap;\n", "}\n", "\n", "table.dataframe th.bottomBorder {\n", "    border-bottom-color: var(--bold-border-color);\n", "}\n", "\n", "table.dataframe tbody > tr:nth-child(odd) {\n", "    background: var(--background-odd);\n", "}\n", "\n", "table.dataframe tbody > tr:nth-child(even) {\n", "    background: var(--background);\n", "}\n", "\n", "table.dataframe tbody > tr:hover {\n", "    background: var(--background-hover);\n", "}\n", "\n", "table.dataframe a {\n", "    cursor: pointer;\n", "    color: var(--link-color);\n", "    text-decoration: none;\n", "}\n", "\n", "table.dataframe tr:hover > td a {\n", "    color: var(--link-color-pale);\n", "}\n", "\n", "table.dataframe a:hover {\n", "    color: var(--link-hover);\n", "    text-decoration: underline;\n", "}\n", "\n", "table.dataframe img {\n", "    max-width: fit-content;\n", "}\n", "\n", "table.dataframe th.complex {\n", "    background-color: var(--background);\n", "    border: 1px solid var(--background);\n", "}\n", "\n", "table.dataframe .leftBorder {\n", "    border-left-color: var(--inner-border-color);\n", "}\n", "\n", "table.dataframe .rightBorder {\n", "    border-right-color: var(--inner-border-color);\n", "}\n", "\n", "table.dataframe .rightAlign {\n", "    text-align: right;\n", "}\n", "\n", "table.dataframe .expanderSvg {\n", "    width: 8px;\n", "    height: 8px;\n", "    margin-right: 3px;\n", "}\n", "\n", "table.dataframe .expander {\n", "    display: flex;\n", "    align-items: center;\n", "}\n", "\n", "/* formatting */\n", "\n", "table.dataframe .null {\n", "    color: var(--text-color-pale);\n", "}\n", "\n", "table.dataframe .structural {\n", "    color: var(--text-color-medium);\n", "    font-weight: bold;\n", "}\n", "\n", "table.dataframe .dataFrameCaption {\n", "    font-weight: bold;\n", "}\n", "\n", "table.dataframe .numbers {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe td:hover .formatted .structural, .null {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe tr:hover .formatted .structural, .null {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "\n", "            </style>\n", "        </head>\n", "        <body>\n", "            <table class=\"dataframe\" id=\"static_df_-1157627903\"><thead><tr><th class=\"bottomBorder\" style=\"text-align:left\">distribution</th><th class=\"bottomBorder\" style=\"text-align:left\">1</th><th class=\"bottomBorder\" style=\"text-align:left\">2</th><th class=\"bottomBorder\" style=\"text-align:left\">3</th><th class=\"bottomBorder\" style=\"text-align:left\">4</th><th class=\"bottomBorder\" style=\"text-align:left\">5</th><th class=\"bottomBorder\" style=\"text-align:left\">6</th></tr></thead><tbody><tr><td  style=\"vertical-align:top\">All 1&#39;s</td><td  style=\"vertical-align:top\">120</td><td  style=\"vertical-align:top\">0</td><td  style=\"vertical-align:top\">0</td><td  style=\"vertical-align:top\">0</td><td  style=\"vertical-align:top\">0</td><td  style=\"vertical-align:top\">0</td></tr><tr><td  style=\"vertical-align:top\">All 6&#39;s</td><td  style=\"vertical-align:top\">0</td><td  style=\"vertical-align:top\">0</td><td  style=\"vertical-align:top\">0</td><td  style=\"vertical-align:top\">0</td><td  style=\"vertical-align:top\">0</td><td  style=\"vertical-align:top\">120</td></tr><tr><td  style=\"vertical-align:top\">Even buckets - All fail</td><td  style=\"vertical-align:top\">20</td><td  style=\"vertical-align:top\">20</td><td  style=\"vertical-align:top\">20</td><td  style=\"vertical-align:top\">20</td><td  style=\"vertical-align:top\">20</td><td  style=\"vertical-align:top\">20</td></tr><tr><td  style=\"vertical-align:top\">Even buckets - All succed</td><td  style=\"vertical-align:top\">20</td><td  style=\"vertical-align:top\">20</td><td  style=\"vertical-align:top\">20</td><td  style=\"vertical-align:top\">20</td><td  style=\"vertical-align:top\">20</td><td  style=\"vertical-align:top\">20</td></tr><tr><td  style=\"vertical-align:top\">Even buckets - Half succeed</td><td  style=\"vertical-align:top\">20</td><td  style=\"vertical-align:top\">20</td><td  style=\"vertical-align:top\">20</td><td  style=\"vertical-align:top\">20</td><td  style=\"vertical-align:top\">20</td><td  style=\"vertical-align:top\">20</td></tr><tr><td  style=\"vertical-align:top\">Scewed towards bottom</td><td  style=\"vertical-align:top\">28</td><td  style=\"vertical-align:top\">37</td><td  style=\"vertical-align:top\">26</td><td  style=\"vertical-align:top\">9</td><td  style=\"vertical-align:top\">10</td><td  style=\"vertical-align:top\">10</td></tr><tr><td  style=\"vertical-align:top\">Scewed towards top</td><td  style=\"vertical-align:top\">9</td><td  style=\"vertical-align:top\">10</td><td  style=\"vertical-align:top\">10</td><td  style=\"vertical-align:top\">22</td><td  style=\"vertical-align:top\">41</td><td  style=\"vertical-align:top\">28</td></tr><tr><td  style=\"vertical-align:top\">Random (4+)</td><td  style=\"vertical-align:top\">22</td><td  style=\"vertical-align:top\">16</td><td  style=\"vertical-align:top\">23</td><td  style=\"vertical-align:top\">21</td><td  style=\"vertical-align:top\">19</td><td  style=\"vertical-align:top\">19</td></tr><tr><td  style=\"vertical-align:top\">Random 1</td><td  style=\"vertical-align:top\">27</td><td  style=\"vertical-align:top\">16</td><td  style=\"vertical-align:top\">22</td><td  style=\"vertical-align:top\">15</td><td  style=\"vertical-align:top\">20</td><td  style=\"vertical-align:top\">20</td></tr><tr><td  style=\"vertical-align:top\">Random 2</td><td  style=\"vertical-align:top\">20</td><td  style=\"vertical-align:top\">15</td><td  style=\"vertical-align:top\">19</td><td  style=\"vertical-align:top\">24</td><td  style=\"vertical-align:top\">23</td><td  style=\"vertical-align:top\">19</td></tr><tr><td  style=\"vertical-align:top\">Random 3</td><td  style=\"vertical-align:top\">19</td><td  style=\"vertical-align:top\">16</td><td  style=\"vertical-align:top\">18</td><td  style=\"vertical-align:top\">26</td><td  style=\"vertical-align:top\">18</td><td  style=\"vertical-align:top\">23</td></tr></tbody></table>\n", "        </body>\n", "        <script>\n", "            document.getElementById(\"static_df_-1157627903\").style.display = \"none\";\n", "        </script>\n", "        </html>" ],
        "application/kotlindataframe+json" : "{\"$version\":\"2.1.1\",\"metadata\":{\"columns\":[\"distribution\",\"1\",\"2\",\"3\",\"4\",\"5\",\"6\"],\"types\":[{\"kind\":\"ValueColumn\",\"type\":\"kotlin.String\"},{\"kind\":\"ValueColumn\",\"type\":\"kotlin.Int\"},{\"kind\":\"ValueColumn\",\"type\":\"kotlin.Int\"},{\"kind\":\"ValueColumn\",\"type\":\"kotlin.Int\"},{\"kind\":\"ValueColumn\",\"type\":\"kotlin.Int\"},{\"kind\":\"ValueColumn\",\"type\":\"kotlin.Int\"},{\"kind\":\"ValueColumn\",\"type\":\"kotlin.Int\"}],\"nrow\":11,\"ncol\":7},\"kotlin_dataframe\":[{\"distribution\":\"All 1's\",\"1\":120,\"2\":0,\"3\":0,\"4\":0,\"5\":0,\"6\":0},{\"distribution\":\"All 6's\",\"1\":0,\"2\":0,\"3\":0,\"4\":0,\"5\":0,\"6\":120},{\"distribution\":\"Even buckets - All fail\",\"1\":20,\"2\":20,\"3\":20,\"4\":20,\"5\":20,\"6\":20},{\"distribution\":\"Even buckets - All succed\",\"1\":20,\"2\":20,\"3\":20,\"4\":20,\"5\":20,\"6\":20},{\"distribution\":\"Even buckets - Half succeed\",\"1\":20,\"2\":20,\"3\":20,\"4\":20,\"5\":20,\"6\":20},{\"distribution\":\"Scewed towards bottom\",\"1\":28,\"2\":37,\"3\":26,\"4\":9,\"5\":10,\"6\":10},{\"distribution\":\"Scewed towards top\",\"1\":9,\"2\":10,\"3\":10,\"4\":22,\"5\":41,\"6\":28},{\"distribution\":\"Random (4+)\",\"1\":22,\"2\":16,\"3\":23,\"4\":21,\"5\":19,\"6\":19},{\"distribution\":\"Random 1\",\"1\":27,\"2\":16,\"3\":22,\"4\":15,\"5\":20,\"6\":20},{\"distribution\":\"Random 2\",\"1\":20,\"2\":15,\"3\":19,\"4\":24,\"5\":23,\"6\":19},{\"distribution\":\"Random 3\",\"1\":19,\"2\":16,\"3\":18,\"4\":26,\"5\":18,\"6\":23}]}"
      },
      "execution_count" : 4,
      "metadata" : { },
      "output_type" : "execute_result"
    } ],
    "execution_count" : 4
  }, {
    "metadata" : {
      "ExecuteTime" : {
        "end_time" : "2025-08-21T14:34:05.499386Z",
        "start_time" : "2025-08-21T14:34:04.781308Z"
      }
    },
    "cell_type" : "code",
    "source" : [ "// Plot roll distribution.\n", "// Ignore distibutions that are either all 1's or all 6's as it skew the result too much.\n", "val bucketData = rollDistributions\n", "    .getRows(2..rollDistributions.rowsCount() - 1)\n", "    .gather { colsOf<Int>() }\n", "    .into(\"roll\", \"count\")\n", "\n", "// Plot how many of each roll to get a sense of how fair they roll\n", "plot(bucketData) {\n", "    bars {\n", "        x(\"roll\")\n", "        y(\"count\")\n", "        fillColor(\"distribution\")\n", "        position = Position.dodge()\n", "    }\n", "    hLine {\n", "        yIntercept.constant(20)\n", "        color = Color.WHITE\n", "        width = 1.0\n", "        alpha = 0.8\n", "        type = LineType.DASHED\n", "    }\n", "\n", "    x.axis.name = \"Roll\"\n", "    y.axis.name = \"Count\"\n", "}" ],
    "id" : "dc14e45747b1b762",
    "outputs" : [ {
      "data" : {
        "text/html" : [ "            <iframe src='about:blank' style='border:none !important;' width='600' height='400' srcdoc=\"&lt;html lang=&quot;en&quot;>\n", "   &lt;head>\n", "       &lt;meta charset=&quot;UTF-8&quot;>\n", "       &lt;style> html, body { margin: 0; overflow: hidden; } &lt;/style>\n", "       &lt;script type=&quot;text/javascript&quot; data-lets-plot-script=&quot;library&quot; src=&quot;https://cdn.jsdelivr.net/gh/JetBrains/[email protected]/js-package/distr/lets-plot.min.js&quot;>&lt;/script>\n", "   &lt;/head>\n", "   &lt;body>\n", "          &lt;div id=&quot;iuJLvj&quot;>&lt;/div>\n", "   &lt;script type=&quot;text/javascript&quot; data-lets-plot-script=&quot;plot&quot;>\n", "   \n", "   (function() {\n", "   // ----------\n", "   \n", "       var plotSpec={\n", "&quot;mapping&quot;:{\n", "},\n", "&quot;data&quot;:{\n", "&quot;roll&quot;:[&quot;1&quot;,&quot;2&quot;,&quot;3&quot;,&quot;4&quot;,&quot;5&quot;,&quot;6&quot;,&quot;1&quot;,&quot;2&quot;,&quot;3&quot;,&quot;4&quot;,&quot;5&quot;,&quot;6&quot;,&quot;1&quot;,&quot;2&quot;,&quot;3&quot;,&quot;4&quot;,&quot;5&quot;,&quot;6&quot;,&quot;1&quot;,&quot;2&quot;,&quot;3&quot;,&quot;4&quot;,&quot;5&quot;,&quot;6&quot;,&quot;1&quot;,&quot;2&quot;,&quot;3&quot;,&quot;4&quot;,&quot;5&quot;,&quot;6&quot;,&quot;1&quot;,&quot;2&quot;,&quot;3&quot;,&quot;4&quot;,&quot;5&quot;,&quot;6&quot;,&quot;1&quot;,&quot;2&quot;,&quot;3&quot;,&quot;4&quot;,&quot;5&quot;,&quot;6&quot;,&quot;1&quot;,&quot;2&quot;,&quot;3&quot;,&quot;4&quot;,&quot;5&quot;,&quot;6&quot;,&quot;1&quot;,&quot;2&quot;,&quot;3&quot;,&quot;4&quot;,&quot;5&quot;,&quot;6&quot;],\n", "&quot;count&quot;:[20.0,20.0,20.0,20.0,20.0,20.0,20.0,20.0,20.0,20.0,20.0,20.0,20.0,20.0,20.0,20.0,20.0,20.0,28.0,37.0,26.0,9.0,10.0,10.0,9.0,10.0,10.0,22.0,41.0,28.0,22.0,16.0,23.0,21.0,19.0,19.0,27.0,16.0,22.0,15.0,20.0,20.0,20.0,15.0,19.0,24.0,23.0,19.0,19.0,16.0,18.0,26.0,18.0,23.0],\n", "&quot;distribution&quot;:[&quot;Even buckets - All fail&quot;,&quot;Even buckets - All fail&quot;,&quot;Even buckets - All fail&quot;,&quot;Even buckets - All fail&quot;,&quot;Even buckets - All fail&quot;,&quot;Even buckets - All fail&quot;,&quot;Even buckets - All succed&quot;,&quot;Even buckets - All succed&quot;,&quot;Even buckets - All succed&quot;,&quot;Even buckets - All succed&quot;,&quot;Even buckets - All succed&quot;,&quot;Even buckets - All succed&quot;,&quot;Even buckets - Half succeed&quot;,&quot;Even buckets - Half succeed&quot;,&quot;Even buckets - Half succeed&quot;,&quot;Even buckets - Half succeed&quot;,&quot;Even buckets - Half succeed&quot;,&quot;Even buckets - Half succeed&quot;,&quot;Scewed towards bottom&quot;,&quot;Scewed towards bottom&quot;,&quot;Scewed towards bottom&quot;,&quot;Scewed towards bottom&quot;,&quot;Scewed towards bottom&quot;,&quot;Scewed towards bottom&quot;,&quot;Scewed towards top&quot;,&quot;Scewed towards top&quot;,&quot;Scewed towards top&quot;,&quot;Scewed towards top&quot;,&quot;Scewed towards top&quot;,&quot;Scewed towards top&quot;,&quot;Random (4+)&quot;,&quot;Random (4+)&quot;,&quot;Random (4+)&quot;,&quot;Random (4+)&quot;,&quot;Random (4+)&quot;,&quot;Random (4+)&quot;,&quot;Random 1&quot;,&quot;Random 1&quot;,&quot;Random 1&quot;,&quot;Random 1&quot;,&quot;Random 1&quot;,&quot;Random 1&quot;,&quot;Random 2&quot;,&quot;Random 2&quot;,&quot;Random 2&quot;,&quot;Random 2&quot;,&quot;Random 2&quot;,&quot;Random 2&quot;,&quot;Random 3&quot;,&quot;Random 3&quot;,&quot;Random 3&quot;,&quot;Random 3&quot;,&quot;Random 3&quot;,&quot;Random 3&quot;]\n", "},\n", "&quot;kind&quot;:&quot;plot&quot;,\n", "&quot;scales&quot;:[{\n", "&quot;aesthetic&quot;:&quot;x&quot;,\n", "&quot;discrete&quot;:true\n", "},{\n", "&quot;aesthetic&quot;:&quot;y&quot;,\n", "&quot;limits&quot;:[null,null]\n", "},{\n", "&quot;aesthetic&quot;:&quot;fill&quot;,\n", "&quot;discrete&quot;:true\n", "},{\n", "&quot;aesthetic&quot;:&quot;x&quot;,\n", "&quot;name&quot;:&quot;Roll&quot;,\n", "&quot;limits&quot;:[null,null]\n", "},{\n", "&quot;aesthetic&quot;:&quot;y&quot;,\n", "&quot;name&quot;:&quot;Count&quot;,\n", "&quot;limits&quot;:[null,null]\n", "}],\n", "&quot;layers&quot;:[{\n", "&quot;mapping&quot;:{\n", "&quot;x&quot;:&quot;roll&quot;,\n", "&quot;y&quot;:&quot;count&quot;,\n", "&quot;fill&quot;:&quot;distribution&quot;\n", "},\n", "&quot;stat&quot;:&quot;identity&quot;,\n", "&quot;sampling&quot;:&quot;none&quot;,\n", "&quot;inherit_aes&quot;:false,\n", "&quot;position&quot;:&quot;dodge&quot;,\n", "&quot;geom&quot;:&quot;bar&quot;,\n", "&quot;data&quot;:{\n", "}\n", "},{\n", "&quot;mapping&quot;:{\n", "},\n", "&quot;stat&quot;:&quot;identity&quot;,\n", "&quot;yintercept&quot;:20.0,\n", "&quot;color&quot;:&quot;#ffffff&quot;,\n", "&quot;size&quot;:1.0,\n", "&quot;linetype&quot;:&quot;dashed&quot;,\n", "&quot;sampling&quot;:&quot;none&quot;,\n", "&quot;alpha&quot;:0.8,\n", "&quot;inherit_aes&quot;:false,\n", "&quot;position&quot;:&quot;identity&quot;,\n", "&quot;geom&quot;:&quot;hline&quot;,\n", "&quot;data&quot;:{\n", "}\n", "}],\n", "&quot;data_meta&quot;:{\n", "&quot;series_annotations&quot;:[{\n", "&quot;type&quot;:&quot;str&quot;,\n", "&quot;column&quot;:&quot;roll&quot;\n", "},{\n", "&quot;type&quot;:&quot;int&quot;,\n", "&quot;column&quot;:&quot;count&quot;\n", "},{\n", "&quot;type&quot;:&quot;str&quot;,\n", "&quot;column&quot;:&quot;distribution&quot;\n", "}]\n", "},\n", "&quot;spec_id&quot;:&quot;2&quot;\n", "};\n", "       var containerDiv = document.getElementById(&quot;iuJLvj&quot;);\n", "       \n", "               var toolbar = null;\n", "               var plotContainer = containerDiv;               \n", "               \n", "       var options = {\n", "           sizing: {\n", "               width_mode: &quot;fixed&quot;,\n", "               height_mode: &quot;fixed&quot;,\n", "               width: 600.0,\n", "               height: 400.0\n", "           }\n", "       };\n", "       var fig = LetsPlot.buildPlotFromProcessedSpecs(plotSpec, -1, -1, plotContainer, options);\n", "       if (toolbar) {\n", "         toolbar.bind(fig);\n", "       }\n", "       \n", "   // ----------\n", "   })();\n", "   \n", "   &lt;/script>\n", "   &lt;/body>\n", "&lt;/html>\"></iframe>            <svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" display=\"block\" class=\"plt-container\" id=39b94022-1c44-43ca-94aa-f08f1725d212 width=\"100%\" height=\"100%\" style=\"max-width: 600.0px; max-height: 400.0px;\" viewBox=\"0 0 600.0 400.0\" preserveAspectRatio=\"xMinYMin meet\">\n", "  <style type=\"text/css\">\n", "  .plt-container {\n", "   font-family: Lucida Grande, sans-serif;\n", "   user-select: none;\n", "   -webkit-user-select: none;\n", "   -moz-user-select: none;\n", "   -ms-user-select: none;\n", "}\n", "text {\n", "   text-rendering: optimizeLegibility;\n", "}\n", "#pMzJzCr .plot-title {\n", "fill: #474747;\n", "font-weight: normal;\n", "   font-style: normal;font-family: Lucida Grande, sans-serif;\n", "font-size: 16.0px;\n", "\n", "}\n", "#pMzJzCr .plot-subtitle {\n", "fill: #474747;\n", "font-weight: normal;\n", "   font-style: normal;font-family: Lucida Grande, sans-serif;\n", "font-size: 15.0px;\n", "\n", "}\n", "#pMzJzCr .plot-caption {\n", "fill: #474747;\n", "font-weight: normal;\n", "   font-style: normal;font-family: Lucida Grande, sans-serif;\n", "font-size: 13.0px;\n", "\n", "}\n", "#pMzJzCr .hyperlink-element {\n", "fill: #118ed8;\n", "font-weight: normal;\n", "   font-style: normal;\n", "}\n", "#pMzJzCr .legend-title {\n", "fill: #474747;\n", "font-weight: normal;\n", "   font-style: normal;font-family: Lucida Grande, sans-serif;\n", "font-size: 15.0px;\n", "\n", "}\n", "#pMzJzCr .legend-item {\n", "fill: #474747;\n", "font-weight: normal;\n", "   font-style: normal;font-family: Lucida Grande, sans-serif;\n", "font-size: 13.0px;\n", "\n", "}\n", "#pMzJzCr .axis-title-x {\n", "fill: #474747;\n", "font-weight: normal;\n", "   font-style: normal;font-family: Lucida Grande, sans-serif;\n", "font-size: 15.0px;\n", "\n", "}\n", "#pMzJzCr .axis-text-x {\n", "fill: #474747;\n", "font-weight: normal;\n", "   font-style: normal;font-family: Lucida Grande, sans-serif;\n", "font-size: 13.0px;\n", "\n", "}\n", "#dx0Uuu4 .axis-tooltip-text-x {\n", "fill: #ffffff;\n", "font-weight: normal;\n", "   font-style: normal;font-family: Lucida Grande, sans-serif;\n", "font-size: 13.0px;\n", "\n", "}\n", "#pMzJzCr .axis-title-y {\n", "fill: #474747;\n", "font-weight: normal;\n", "   font-style: normal;font-family: Lucida Grande, sans-serif;\n", "font-size: 15.0px;\n", "\n", "}\n", "#pMzJzCr .axis-text-y {\n", "fill: #474747;\n", "font-weight: normal;\n", "   font-style: normal;font-family: Lucida Grande, sans-serif;\n", "font-size: 13.0px;\n", "\n", "}\n", "#dx0Uuu4 .axis-tooltip-text-y {\n", "fill: #ffffff;\n", "font-weight: normal;\n", "   font-style: normal;font-family: Lucida Grande, sans-serif;\n", "font-size: 13.0px;\n", "\n", "}\n", "#pMzJzCr .facet-strip-text-x {\n", "fill: #474747;\n", "font-weight: normal;\n", "   font-style: normal;font-family: Lucida Grande, sans-serif;\n", "font-size: 13.0px;\n", "\n", "}\n", "#pMzJzCr .facet-strip-text-y {\n", "fill: #474747;\n", "font-weight: normal;\n", "   font-style: normal;font-family: Lucida Grande, sans-serif;\n", "font-size: 13.0px;\n", "\n", "}\n", "#dx0Uuu4 .tooltip-text {\n", "fill: #474747;\n", "font-weight: normal;\n", "   font-style: normal;font-family: Lucida Grande, sans-serif;\n", "font-size: 13.0px;\n", "\n", "}\n", "#dx0Uuu4 .tooltip-title {\n", "fill: #474747;\n", "font-weight: bold;\n", "   font-style: normal;font-family: Lucida Grande, sans-serif;\n", "font-size: 13.0px;\n", "\n", "}\n", "#dx0Uuu4 .tooltip-label {\n", "fill: #474747;\n", "font-weight: bold;\n", "   font-style: normal;font-family: Lucida Grande, sans-serif;\n", "font-size: 13.0px;\n", "\n", "}\n", "\n", "  </style>\n", "  <g id=\"pMzJzCr\">\n", "    <path fill-rule=\"evenodd\" fill=\"rgb(255,255,255)\" fill-opacity=\"1.0\" d=\"M0.0 0.0 L0.0 400.0 L600.0 400.0 L600.0 0.0 Z\">\n", "    </path>\n", "    <g transform=\"translate(29.5 6.5 ) \">\n", "      <g>\n", "        <g transform=\"translate(21.961210910936405 0.0 ) \">\n", "          <g>\n", "            <line x1=\"30.25155991370841\" y1=\"0.0\" x2=\"30.25155991370841\" y2=\"341.0\" stroke=\"rgb(233,233,233)\" stroke-opacity=\"1.0\" stroke-width=\"1.0\" fill=\"none\">\n", "            </line>\n", "            <line x1=\"76.79242131941365\" y1=\"0.0\" x2=\"76.79242131941365\" y2=\"341.0\" stroke=\"rgb(233,233,233)\" stroke-opacity=\"1.0\" stroke-width=\"1.0\" fill=\"none\">\n", "            </line>\n", "            <line x1=\"123.33328272511889\" y1=\"0.0\" x2=\"123.33328272511889\" y2=\"341.0\" stroke=\"rgb(233,233,233)\" stroke-opacity=\"1.0\" stroke-width=\"1.0\" fill=\"none\">\n", "            </line>\n", "            <line x1=\"169.87414413082413\" y1=\"0.0\" x2=\"169.87414413082413\" y2=\"341.0\" stroke=\"rgb(233,233,233)\" stroke-opacity=\"1.0\" stroke-width=\"1.0\" fill=\"none\">\n", "            </line>\n", "            <line x1=\"216.41500553652938\" y1=\"0.0\" x2=\"216.41500553652938\" y2=\"341.0\" stroke=\"rgb(233,233,233)\" stroke-opacity=\"1.0\" stroke-width=\"1.0\" fill=\"none\">\n", "            </line>\n", "            <line x1=\"262.95586694223465\" y1=\"0.0\" x2=\"262.95586694223465\" y2=\"341.0\" stroke=\"rgb(233,233,233)\" stroke-opacity=\"1.0\" stroke-width=\"1.0\" fill=\"none\">\n", "            </line>\n", "          </g>\n", "        </g>\n", "        <g transform=\"translate(21.961210910936405 0.0 ) \">\n", "          <g>\n", "            <line x1=\"0.0\" y1=\"341.0\" x2=\"293.2074268559431\" y2=\"341.0\" stroke=\"rgb(233,233,233)\" stroke-opacity=\"1.0\" stroke-width=\"1.0\" fill=\"none\">\n", "            </line>\n", "            <line x1=\"0.0\" y1=\"301.3948896631823\" x2=\"293.2074268559431\" y2=\"301.3948896631823\" stroke=\"rgb(233,233,233)\" stroke-opacity=\"1.0\" stroke-width=\"1.0\" fill=\"none\">\n", "            </line>\n", "            <line x1=\"0.0\" y1=\"261.7897793263647\" x2=\"293.2074268559431\" y2=\"261.7897793263647\" stroke=\"rgb(233,233,233)\" stroke-opacity=\"1.0\" stroke-width=\"1.0\" fill=\"none\">\n", "            </line>\n", "            <line x1=\"0.0\" y1=\"222.18466898954705\" x2=\"293.2074268559431\" y2=\"222.18466898954705\" stroke=\"rgb(233,233,233)\" stroke-opacity=\"1.0\" stroke-width=\"1.0\" fill=\"none\">\n", "            </line>\n", "            <line x1=\"0.0\" y1=\"182.57955865272936\" x2=\"293.2074268559431\" y2=\"182.57955865272936\" stroke=\"rgb(233,233,233)\" stroke-opacity=\"1.0\" stroke-width=\"1.0\" fill=\"none\">\n", "            </line>\n", "            <line x1=\"0.0\" y1=\"142.9744483159117\" x2=\"293.2074268559431\" y2=\"142.9744483159117\" stroke=\"rgb(233,233,233)\" stroke-opacity=\"1.0\" stroke-width=\"1.0\" fill=\"none\">\n", "            </line>\n", "            <line x1=\"0.0\" y1=\"103.36933797909407\" x2=\"293.2074268559431\" y2=\"103.36933797909407\" stroke=\"rgb(233,233,233)\" stroke-opacity=\"1.0\" stroke-width=\"1.0\" fill=\"none\">\n", "            </line>\n", "            <line x1=\"0.0\" y1=\"63.76422764227641\" x2=\"293.2074268559431\" y2=\"63.76422764227641\" stroke=\"rgb(233,233,233)\" stroke-opacity=\"1.0\" stroke-width=\"1.0\" fill=\"none\">\n", "            </line>\n", "            <line x1=\"0.0\" y1=\"24.15911730545872\" x2=\"293.2074268559431\" y2=\"24.15911730545872\" stroke=\"rgb(233,233,233)\" stroke-opacity=\"1.0\" stroke-width=\"1.0\" fill=\"none\">\n", "            </line>\n", "          </g>\n", "        </g>\n", "      </g>\n", "      <g clip-path=\"url(#cf9sp2a)\" clip-bounds-jfx=\"[rect (21.961210910936405, 0.0), (293.2074268559431, 341.0)]\">\n", "        <g transform=\"translate(21.961210910936405 0.0 ) \">\n", "          <g>\n", "            <g>\n", "              <rect x=\"279.24516843423146\" y=\"158.81649245063878\" height=\"182.18350754936122\" width=\"4.654086140570541\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(153,153,153)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"232.7043070285262\" y=\"198.42160278745644\" height=\"142.57839721254356\" width=\"4.65408614057057\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(153,153,153)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"186.16344562282097\" y=\"135.0534262485482\" height=\"205.9465737514518\" width=\"4.654086140570541\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(153,153,153)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"139.62258421711573\" y=\"198.42160278745644\" height=\"142.57839721254356\" width=\"4.654086140570541\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(153,153,153)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"93.08172281141049\" y=\"214.2636469221835\" height=\"126.73635307781649\" width=\"4.654086140570527\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(153,153,153)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"46.54086140570524\" y=\"190.5005807200929\" height=\"150.4994192799071\" width=\"4.654086140570527\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(153,153,153)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"274.591082293661\" y=\"190.5005807200929\" height=\"150.4994192799071\" width=\"4.6540861405704845\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(247,129,191)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"228.0502208879557\" y=\"158.81649245063878\" height=\"182.18350754936122\" width=\"4.6540861405704845\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(247,129,191)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"181.50935948225046\" y=\"150.89547038327524\" height=\"190.10452961672476\" width=\"4.654086140570513\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(247,129,191)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"134.96849807654522\" y=\"190.5005807200929\" height=\"150.4994192799071\" width=\"4.654086140570513\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(247,129,191)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"88.42763667083996\" y=\"222.18466898954705\" height=\"118.81533101045295\" width=\"4.654086140570527\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(247,129,191)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"41.886775265134716\" y=\"182.57955865272936\" height=\"158.42044134727064\" width=\"4.654086140570527\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(247,129,191)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"269.93699615309043\" y=\"182.57955865272936\" height=\"158.42044134727064\" width=\"4.654086140570541\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(166,86,40)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"223.3961347473852\" y=\"182.57955865272936\" height=\"158.42044134727064\" width=\"4.654086140570513\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(166,86,40)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"176.85527334167992\" y=\"222.18466898954705\" height=\"118.81533101045295\" width=\"4.654086140570541\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(166,86,40)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"130.31441193597468\" y=\"166.7375145180023\" height=\"174.2624854819977\" width=\"4.654086140570541\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(166,86,40)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"83.77355053026943\" y=\"214.2636469221835\" height=\"126.73635307781649\" width=\"4.654086140570527\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(166,86,40)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"37.232689124564196\" y=\"127.13240418118465\" height=\"213.86759581881535\" width=\"4.65408614057052\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(166,86,40)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"265.2829100125199\" y=\"190.5005807200929\" height=\"150.4994192799071\" width=\"4.654086140570541\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(255,255,51)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"218.74204860681462\" y=\"190.5005807200929\" height=\"150.4994192799071\" width=\"4.65408614057057\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(255,255,51)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"172.20118720110938\" y=\"174.65853658536585\" height=\"166.34146341463415\" width=\"4.654086140570541\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(255,255,51)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"125.66032579540415\" y=\"158.81649245063878\" height=\"182.18350754936122\" width=\"4.654086140570527\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(255,255,51)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"79.11946438969892\" y=\"214.2636469221835\" height=\"126.73635307781649\" width=\"4.654086140570513\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(255,255,51)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"32.57860298399367\" y=\"166.7375145180023\" height=\"174.2624854819977\" width=\"4.654086140570527\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(255,255,51)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"260.6288238719494\" y=\"119.21138211382112\" height=\"221.78861788617888\" width=\"4.6540861405704845\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(255,127,0)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"214.08796246624414\" y=\"16.238095238095184\" height=\"324.7619047619048\" width=\"4.6540861405704845\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(255,127,0)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"167.5471010605389\" y=\"166.7375145180023\" height=\"174.2624854819977\" width=\"4.6540861405704845\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(255,127,0)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"121.00623965483362\" y=\"261.7897793263647\" height=\"79.21022067363532\" width=\"4.654086140570527\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(255,127,0)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"74.46537824912839\" y=\"261.7897793263647\" height=\"79.21022067363532\" width=\"4.654086140570527\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(255,127,0)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"27.92451684342315\" y=\"269.7108013937282\" height=\"71.28919860627178\" width=\"4.65408614057052\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(255,127,0)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"255.9747377313788\" y=\"261.7897793263647\" height=\"79.21022067363532\" width=\"4.654086140570598\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(152,78,163)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"209.4338763256736\" y=\"261.7897793263647\" height=\"79.21022067363532\" width=\"4.654086140570541\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(152,78,163)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"162.89301491996835\" y=\"269.7108013937282\" height=\"71.28919860627178\" width=\"4.654086140570541\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(152,78,163)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"116.35215351426311\" y=\"135.0534262485482\" height=\"205.9465737514518\" width=\"4.654086140570513\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(152,78,163)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"69.81129210855786\" y=\"47.922183507549335\" height=\"293.07781649245067\" width=\"4.654086140570527\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(152,78,163)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"23.27043070285262\" y=\"119.21138211382112\" height=\"221.78861788617888\" width=\"4.654086140570527\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(152,78,163)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"251.3206515908083\" y=\"182.57955865272936\" height=\"158.42044134727064\" width=\"4.654086140570513\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(77,175,74)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"204.77979018510305\" y=\"182.57955865272936\" height=\"158.42044134727064\" width=\"4.654086140570541\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(77,175,74)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"158.23892877939784\" y=\"182.57955865272936\" height=\"158.42044134727064\" width=\"4.654086140570513\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(77,175,74)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"111.69806737369258\" y=\"182.57955865272936\" height=\"158.42044134727064\" width=\"4.654086140570527\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(77,175,74)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"65.15720596798734\" y=\"182.57955865272936\" height=\"158.42044134727064\" width=\"4.654086140570527\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(77,175,74)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"18.616344562282098\" y=\"182.57955865272936\" height=\"158.42044134727064\" width=\"4.654086140570524\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(77,175,74)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"246.6665654502378\" y=\"182.57955865272936\" height=\"158.42044134727064\" width=\"4.6540861405704845\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(55,126,184)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"200.12570404453254\" y=\"182.57955865272936\" height=\"158.42044134727064\" width=\"4.654086140570513\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(55,126,184)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"153.5848426388273\" y=\"182.57955865272936\" height=\"158.42044134727064\" width=\"4.654086140570541\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(55,126,184)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"107.04398123312205\" y=\"182.57955865272936\" height=\"158.42044134727064\" width=\"4.654086140570527\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(55,126,184)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"60.50311982741681\" y=\"182.57955865272936\" height=\"158.42044134727064\" width=\"4.654086140570527\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(55,126,184)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"13.96225842171157\" y=\"182.57955865272936\" height=\"158.42044134727064\" width=\"4.654086140570527\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(55,126,184)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"242.01247930966724\" y=\"182.57955865272936\" height=\"158.42044134727064\" width=\"4.65408614057057\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(228,26,28)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"195.471617903962\" y=\"182.57955865272936\" height=\"158.42044134727064\" width=\"4.654086140570541\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(228,26,28)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"148.93075649825678\" y=\"182.57955865272936\" height=\"158.42044134727064\" width=\"4.654086140570513\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(228,26,28)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"102.38989509255154\" y=\"182.57955865272936\" height=\"158.42044134727064\" width=\"4.654086140570513\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(228,26,28)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"55.8490336868463\" y=\"182.57955865272936\" height=\"158.42044134727064\" width=\"4.65408614057052\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(228,26,28)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "              <rect x=\"9.30817228114105\" y=\"182.57955865272936\" height=\"158.42044134727064\" width=\"4.654086140570524\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(228,26,28)\" fill-opacity=\"1.0\" stroke-width=\"1.6500000000000001\">\n", "              </rect>\n", "            </g>\n", "            <g>\n", "              <line x1=\"0.0\" y1=\"182.57955865272936\" x2=\"293.2074268559431\" y2=\"182.57955865272936\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"0.8\" fill=\"none\" stroke-width=\"2.2\" stroke-dasharray=\"8.8,8.8\" stroke-dashoffset=\"0.0\">\n", "              </line>\n", "            </g>\n", "          </g>\n", "        </g>\n", "        <defs>\n", "          <clipPath id=\"coR9Qtz\">\n", "            <rect x=\"21.961210910936405\" y=\"0.0\" width=\"293.2074268559431\" height=\"341.0\">\n", "            </rect>\n", "          </clipPath>\n", "        </defs>\n", "        <defs>\n", "          <clipPath id=\"cf9sp2a\">\n", "            <rect x=\"21.961210910936405\" y=\"0.0\" width=\"293.2074268559431\" height=\"341.0\">\n", "            </rect>\n", "          </clipPath>\n", "        </defs>\n", "      </g>\n", "      <g>\n", "        <g transform=\"translate(21.961210910936405 341.0 ) \">\n", "          <g transform=\"translate(30.25155991370841 0.0 ) \">\n", "            <line stroke-width=\"1.0\" stroke=\"rgb(71,71,71)\" stroke-opacity=\"1.0\" x2=\"0.0\" y2=\"4.0\">\n", "            </line>\n", "            <g transform=\"translate(0.0 7.0 ) \">\n", "              <text class=\"axis-text-x\" text-anchor=\"middle\" dy=\"0.7em\">\n", "                <tspan>1</tspan>\n", "              </text>\n", "            </g>\n", "          </g>\n", "          <g transform=\"translate(76.79242131941365 0.0 ) \">\n", "            <line stroke-width=\"1.0\" stroke=\"rgb(71,71,71)\" stroke-opacity=\"1.0\" x2=\"0.0\" y2=\"4.0\">\n", "            </line>\n", "            <g transform=\"translate(0.0 7.0 ) \">\n", "              <text class=\"axis-text-x\" text-anchor=\"middle\" dy=\"0.7em\">\n", "                <tspan>2</tspan>\n", "              </text>\n", "            </g>\n", "          </g>\n", "          <g transform=\"translate(123.33328272511889 0.0 ) \">\n", "            <line stroke-width=\"1.0\" stroke=\"rgb(71,71,71)\" stroke-opacity=\"1.0\" x2=\"0.0\" y2=\"4.0\">\n", "            </line>\n", "            <g transform=\"translate(0.0 7.0 ) \">\n", "              <text class=\"axis-text-x\" text-anchor=\"middle\" dy=\"0.7em\">\n", "                <tspan>3</tspan>\n", "              </text>\n", "            </g>\n", "          </g>\n", "          <g transform=\"translate(169.87414413082413 0.0 ) \">\n", "            <line stroke-width=\"1.0\" stroke=\"rgb(71,71,71)\" stroke-opacity=\"1.0\" x2=\"0.0\" y2=\"4.0\">\n", "            </line>\n", "            <g transform=\"translate(0.0 7.0 ) \">\n", "              <text class=\"axis-text-x\" text-anchor=\"middle\" dy=\"0.7em\">\n", "                <tspan>4</tspan>\n", "              </text>\n", "            </g>\n", "          </g>\n", "          <g transform=\"translate(216.41500553652938 0.0 ) \">\n", "            <line stroke-width=\"1.0\" stroke=\"rgb(71,71,71)\" stroke-opacity=\"1.0\" x2=\"0.0\" y2=\"4.0\">\n", "            </line>\n", "            <g transform=\"translate(0.0 7.0 ) \">\n", "              <text class=\"axis-text-x\" text-anchor=\"middle\" dy=\"0.7em\">\n", "                <tspan>5</tspan>\n", "              </text>\n", "            </g>\n", "          </g>\n", "          <g transform=\"translate(262.95586694223465 0.0 ) \">\n", "            <line stroke-width=\"1.0\" stroke=\"rgb(71,71,71)\" stroke-opacity=\"1.0\" x2=\"0.0\" y2=\"4.0\">\n", "            </line>\n", "            <g transform=\"translate(0.0 7.0 ) \">\n", "              <text class=\"axis-text-x\" text-anchor=\"middle\" dy=\"0.7em\">\n", "                <tspan>6</tspan>\n", "              </text>\n", "            </g>\n", "          </g>\n", "          <line x1=\"0.0\" y1=\"0.0\" x2=\"293.2074268559431\" y2=\"0.0\" stroke-width=\"1.0\" stroke=\"rgb(71,71,71)\" stroke-opacity=\"1.0\">\n", "          </line>\n", "        </g>\n", "        <g transform=\"translate(21.961210910936405 0.0 ) \">\n", "          <g transform=\"translate(0.0 341.0 ) \">\n", "            <g transform=\"translate(-3.0 0.0 ) \">\n", "              <text class=\"axis-text-y\" text-anchor=\"end\" dy=\"0.35em\">\n", "                <tspan>0</tspan>\n", "              </text>\n", "            </g>\n", "          </g>\n", "          <g transform=\"translate(0.0 301.3948896631823 ) \">\n", "            <g transform=\"translate(-3.0 0.0 ) \">\n", "              <text class=\"axis-text-y\" text-anchor=\"end\" dy=\"0.35em\">\n", "                <tspan>5</tspan>\n", "              </text>\n", "            </g>\n", "          </g>\n", "          <g transform=\"translate(0.0 261.7897793263647 ) \">\n", "            <g transform=\"translate(-3.0 0.0 ) \">\n", "              <text class=\"axis-text-y\" text-anchor=\"end\" dy=\"0.35em\">\n", "                <tspan>10</tspan>\n", "              </text>\n", "            </g>\n", "          </g>\n", "          <g transform=\"translate(0.0 222.18466898954705 ) \">\n", "            <g transform=\"translate(-3.0 0.0 ) \">\n", "              <text class=\"axis-text-y\" text-anchor=\"end\" dy=\"0.35em\">\n", "                <tspan>15</tspan>\n", "              </text>\n", "            </g>\n", "          </g>\n", "          <g transform=\"translate(0.0 182.57955865272936 ) \">\n", "            <g transform=\"translate(-3.0 0.0 ) \">\n", "              <text class=\"axis-text-y\" text-anchor=\"end\" dy=\"0.35em\">\n", "                <tspan>20</tspan>\n", "              </text>\n", "            </g>\n", "          </g>\n", "          <g transform=\"translate(0.0 142.9744483159117 ) \">\n", "            <g transform=\"translate(-3.0 0.0 ) \">\n", "              <text class=\"axis-text-y\" text-anchor=\"end\" dy=\"0.35em\">\n", "                <tspan>25</tspan>\n", "              </text>\n", "            </g>\n", "          </g>\n", "          <g transform=\"translate(0.0 103.36933797909407 ) \">\n", "            <g transform=\"translate(-3.0 0.0 ) \">\n", "              <text class=\"axis-text-y\" text-anchor=\"end\" dy=\"0.35em\">\n", "                <tspan>30</tspan>\n", "              </text>\n", "            </g>\n", "          </g>\n", "          <g transform=\"translate(0.0 63.76422764227641 ) \">\n", "            <g transform=\"translate(-3.0 0.0 ) \">\n", "              <text class=\"axis-text-y\" text-anchor=\"end\" dy=\"0.35em\">\n", "                <tspan>35</tspan>\n", "              </text>\n", "            </g>\n", "          </g>\n", "          <g transform=\"translate(0.0 24.15911730545872 ) \">\n", "            <g transform=\"translate(-3.0 0.0 ) \">\n", "              <text class=\"axis-text-y\" text-anchor=\"end\" dy=\"0.35em\">\n", "                <tspan>40</tspan>\n", "              </text>\n", "            </g>\n", "          </g>\n", "        </g>\n", "      </g>\n", "    </g>\n", "    <g transform=\"translate(16.0 177.0 ) rotate(-90.0 ) \">\n", "      <text class=\"axis-title-y\" y=\"0.0\" text-anchor=\"middle\">\n", "        <tspan>Count</tspan>\n", "      </text>\n", "    </g>\n", "    <g transform=\"translate(198.06492433890793 393.0 ) \">\n", "      <text class=\"axis-title-x\" y=\"0.0\" text-anchor=\"middle\">\n", "        <tspan>Roll</tspan>\n", "      </text>\n", "    </g>\n", "    <g transform=\"translate(356.1686377668795 57.25 ) \">\n", "      <rect x=\"0.0\" y=\"0.0\" height=\"239.5\" width=\"243.8313622331205\" stroke=\"rgb(71,71,71)\" stroke-opacity=\"1.0\" stroke-width=\"0.0\" fill=\"rgb(255,255,255)\" fill-opacity=\"1.0\">\n", "      </rect>\n", "      <g transform=\"translate(5.0 5.0 ) \">\n", "        <g transform=\"translate(0.0 12.0 ) \">\n", "          <text class=\"legend-title\" y=\"0.0\">\n", "            <tspan>distribution</tspan>\n", "          </text>\n", "        </g>\n", "        <g transform=\"translate(0.0 22.5 ) \">\n", "          <g transform=\"\">\n", "            <g>\n", "              <g transform=\"translate(1.0 1.0 ) \">\n", "                <g>\n", "                  <rect x=\"0.0\" y=\"0.0\" height=\"21.0\" width=\"21.0\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(228,26,28)\" fill-opacity=\"1.0\" stroke-width=\"1.5\">\n", "                  </rect>\n", "                </g>\n", "              </g>\n", "            </g>\n", "            <g transform=\"translate(26.9903027277341 16.05 ) \">\n", "              <text class=\"legend-item\" y=\"0.0\">\n", "                <tspan>Even buckets - All fail</tspan>\n", "              </text>\n", "            </g>\n", "          </g>\n", "          <g transform=\"translate(0.0 23.0 ) \">\n", "            <g>\n", "              <g transform=\"translate(1.0 1.0 ) \">\n", "                <g>\n", "                  <rect x=\"0.0\" y=\"0.0\" height=\"21.0\" width=\"21.0\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(55,126,184)\" fill-opacity=\"1.0\" stroke-width=\"1.5\">\n", "                  </rect>\n", "                </g>\n", "              </g>\n", "            </g>\n", "            <g transform=\"translate(26.9903027277341 16.05 ) \">\n", "              <text class=\"legend-item\" y=\"0.0\">\n", "                <tspan>Even buckets - All succed</tspan>\n", "              </text>\n", "            </g>\n", "          </g>\n", "          <g transform=\"translate(0.0 46.0 ) \">\n", "            <g>\n", "              <g transform=\"translate(1.0 1.0 ) \">\n", "                <g>\n", "                  <rect x=\"0.0\" y=\"0.0\" height=\"21.0\" width=\"21.0\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(77,175,74)\" fill-opacity=\"1.0\" stroke-width=\"1.5\">\n", "                  </rect>\n", "                </g>\n", "              </g>\n", "            </g>\n", "            <g transform=\"translate(26.9903027277341 16.05 ) \">\n", "              <text class=\"legend-item\" y=\"0.0\">\n", "                <tspan>Even buckets - Half succeed</tspan>\n", "              </text>\n", "            </g>\n", "          </g>\n", "          <g transform=\"translate(0.0 69.0 ) \">\n", "            <g>\n", "              <g transform=\"translate(1.0 1.0 ) \">\n", "                <g>\n", "                  <rect x=\"0.0\" y=\"0.0\" height=\"21.0\" width=\"21.0\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(152,78,163)\" fill-opacity=\"1.0\" stroke-width=\"1.5\">\n", "                  </rect>\n", "                </g>\n", "              </g>\n", "            </g>\n", "            <g transform=\"translate(26.9903027277341 16.05 ) \">\n", "              <text class=\"legend-item\" y=\"0.0\">\n", "                <tspan>Scewed towards bottom</tspan>\n", "              </text>\n", "            </g>\n", "          </g>\n", "          <g transform=\"translate(0.0 92.0 ) \">\n", "            <g>\n", "              <g transform=\"translate(1.0 1.0 ) \">\n", "                <g>\n", "                  <rect x=\"0.0\" y=\"0.0\" height=\"21.0\" width=\"21.0\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(255,127,0)\" fill-opacity=\"1.0\" stroke-width=\"1.5\">\n", "                  </rect>\n", "                </g>\n", "              </g>\n", "            </g>\n", "            <g transform=\"translate(26.9903027277341 16.05 ) \">\n", "              <text class=\"legend-item\" y=\"0.0\">\n", "                <tspan>Scewed towards top</tspan>\n", "              </text>\n", "            </g>\n", "          </g>\n", "          <g transform=\"translate(0.0 115.0 ) \">\n", "            <g>\n", "              <g transform=\"translate(1.0 1.0 ) \">\n", "                <g>\n", "                  <rect x=\"0.0\" y=\"0.0\" height=\"21.0\" width=\"21.0\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(255,255,51)\" fill-opacity=\"1.0\" stroke-width=\"1.5\">\n", "                  </rect>\n", "                </g>\n", "              </g>\n", "            </g>\n", "            <g transform=\"translate(26.9903027277341 16.05 ) \">\n", "              <text class=\"legend-item\" y=\"0.0\">\n", "                <tspan>Random (4+)</tspan>\n", "              </text>\n", "            </g>\n", "          </g>\n", "          <g transform=\"translate(0.0 138.0 ) \">\n", "            <g>\n", "              <g transform=\"translate(1.0 1.0 ) \">\n", "                <g>\n", "                  <rect x=\"0.0\" y=\"0.0\" height=\"21.0\" width=\"21.0\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(166,86,40)\" fill-opacity=\"1.0\" stroke-width=\"1.5\">\n", "                  </rect>\n", "                </g>\n", "              </g>\n", "            </g>\n", "            <g transform=\"translate(26.9903027277341 16.05 ) \">\n", "              <text class=\"legend-item\" y=\"0.0\">\n", "                <tspan>Random 1</tspan>\n", "              </text>\n", "            </g>\n", "          </g>\n", "          <g transform=\"translate(0.0 161.0 ) \">\n", "            <g>\n", "              <g transform=\"translate(1.0 1.0 ) \">\n", "                <g>\n", "                  <rect x=\"0.0\" y=\"0.0\" height=\"21.0\" width=\"21.0\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(247,129,191)\" fill-opacity=\"1.0\" stroke-width=\"1.5\">\n", "                  </rect>\n", "                </g>\n", "              </g>\n", "            </g>\n", "            <g transform=\"translate(26.9903027277341 16.05 ) \">\n", "              <text class=\"legend-item\" y=\"0.0\">\n", "                <tspan>Random 2</tspan>\n", "              </text>\n", "            </g>\n", "          </g>\n", "          <g transform=\"translate(0.0 184.0 ) \">\n", "            <g>\n", "              <g transform=\"translate(1.0 1.0 ) \">\n", "                <g>\n", "                  <rect x=\"0.0\" y=\"0.0\" height=\"21.0\" width=\"21.0\" stroke=\"rgb(255,255,255)\" stroke-opacity=\"1.0\" fill=\"rgb(153,153,153)\" fill-opacity=\"1.0\" stroke-width=\"1.5\">\n", "                  </rect>\n", "                </g>\n", "              </g>\n", "            </g>\n", "            <g transform=\"translate(26.9903027277341 16.05 ) \">\n", "              <text class=\"legend-item\" y=\"0.0\">\n", "                <tspan>Random 3</tspan>\n", "              </text>\n", "            </g>\n", "          </g>\n", "        </g>\n", "      </g>\n", "    </g>\n", "    <path fill=\"rgb(0,0,0)\" fill-opacity=\"0.0\" stroke=\"rgb(71,71,71)\" stroke-opacity=\"1.0\" stroke-width=\"0.0\" d=\"M0.0 0.0 L0.0 400.0 L600.0 400.0 L600.0 0.0 Z\" pointer-events=\"none\">\n", "    </path>\n", "  </g>\n", "  <g id=\"dx0Uuu4\">\n", "  </g>\n", "</svg>\n", "        <script>document.getElementById(\"39b94022-1c44-43ca-94aa-f08f1725d212\").style.display = \"none\";</script>" ],
        "application/plot+json" : {
          "output_type" : "lets_plot_spec",
          "output" : {
            "mapping" : { },
            "data" : {
              "roll" : [ "1", "2", "3", "4", "5", "6", "1", "2", "3", "4", "5", "6", "1", "2", "3", "4", "5", "6", "1", "2", "3", "4", "5", "6", "1", "2", "3", "4", "5", "6", "1", "2", "3", "4", "5", "6", "1", "2", "3", "4", "5", "6", "1", "2", "3", "4", "5", "6", "1", "2", "3", "4", "5", "6" ],
              "count" : [ 20.0, 20.0, 20.0, 20.0, 20.0, 20.0, 20.0, 20.0, 20.0, 20.0, 20.0, 20.0, 20.0, 20.0, 20.0, 20.0, 20.0, 20.0, 28.0, 37.0, 26.0, 9.0, 10.0, 10.0, 9.0, 10.0, 10.0, 22.0, 41.0, 28.0, 22.0, 16.0, 23.0, 21.0, 19.0, 19.0, 27.0, 16.0, 22.0, 15.0, 20.0, 20.0, 20.0, 15.0, 19.0, 24.0, 23.0, 19.0, 19.0, 16.0, 18.0, 26.0, 18.0, 23.0 ],
              "distribution" : [ "Even buckets - All fail", "Even buckets - All fail", "Even buckets - All fail", "Even buckets - All fail", "Even buckets - All fail", "Even buckets - All fail", "Even buckets - All succed", "Even buckets - All succed", "Even buckets - All succed", "Even buckets - All succed", "Even buckets - All succed", "Even buckets - All succed", "Even buckets - Half succeed", "Even buckets - Half succeed", "Even buckets - Half succeed", "Even buckets - Half succeed", "Even buckets - Half succeed", "Even buckets - Half succeed", "Scewed towards bottom", "Scewed towards bottom", "Scewed towards bottom", "Scewed towards bottom", "Scewed towards bottom", "Scewed towards bottom", "Scewed towards top", "Scewed towards top", "Scewed towards top", "Scewed towards top", "Scewed towards top", "Scewed towards top", "Random (4+)", "Random (4+)", "Random (4+)", "Random (4+)", "Random (4+)", "Random (4+)", "Random 1", "Random 1", "Random 1", "Random 1", "Random 1", "Random 1", "Random 2", "Random 2", "Random 2", "Random 2", "Random 2", "Random 2", "Random 3", "Random 3", "Random 3", "Random 3", "Random 3", "Random 3" ]
            },
            "kind" : "plot",
            "scales" : [ {
              "aesthetic" : "x",
              "discrete" : true
            }, {
              "aesthetic" : "y",
              "limits" : [ null, null ]
            }, {
              "aesthetic" : "fill",
              "discrete" : true
            }, {
              "aesthetic" : "x",
              "name" : "Roll",
              "limits" : [ null, null ]
            }, {
              "aesthetic" : "y",
              "name" : "Count",
              "limits" : [ null, null ]
            } ],
            "layers" : [ {
              "mapping" : {
                "x" : "roll",
                "y" : "count",
                "fill" : "distribution"
              },
              "stat" : "identity",
              "sampling" : "none",
              "inherit_aes" : false,
              "position" : "dodge",
              "geom" : "bar"
            }, {
              "mapping" : { },
              "stat" : "identity",
              "yintercept" : 20.0,
              "color" : "#ffffff",
              "size" : 1.0,
              "linetype" : "dashed",
              "sampling" : "none",
              "alpha" : 0.8,
              "inherit_aes" : false,
              "position" : "identity",
              "geom" : "hline"
            } ],
            "data_meta" : {
              "series_annotations" : [ {
                "type" : "str",
                "column" : "roll"
              }, {
                "type" : "int",
                "column" : "count"
              }, {
                "type" : "str",
                "column" : "distribution"
              } ]
            }
          },
          "apply_color_scheme" : true,
          "swing_enabled" : true
        }
      },
      "execution_count" : 5,
      "metadata" : { },
      "output_type" : "execute_result"
    } ],
    "execution_count" : 5
  }, {
    "metadata" : {
      "ExecuteTime" : {
        "end_time" : "2025-08-21T14:34:06.038633Z",
        "start_time" : "2025-08-21T14:34:05.596246Z"
      }
    },
    "cell_type" : "code",
    "source" : [ "/**\n", " * Jensen–Shannon divergence (JSD)\n", " * Informally, this is the \"distance\" [0-1] away from the expected distribution.\n", " *\n", " * Critic:\n", " * - While the JSD value tells you something about how \"fair\" a die is, it doesn't\n", " *   say anything about \"luck\",.e.g., rolling all 1's and rolling all 6's will\n", " *   result in the same JSD value.\n", " * - It turns out the maximum value is ~0.65486. Apparently because bigger values\n", " *   can only happen when the distributions have disjoint support. I didn't totally\n", " *   understand ChatGPTs answer here with regard to dice rolls, but I guess we can\n", " *   scale the values so they fit in the [0-1] range if needed.\n", " * - JSD doesn't scale linearly, so exposing it as 0-100% is wrong. If exposed it\n", " *   should be a \"fairness index\" instead.\n", " *\n", " * See https://en.wikipedia.org/wiki/Jensen%E2%80%93Shannon_divergence\n", " */\n", "\n", "/**\n", " * Calculate the Jensen-Shanon Divergence value.\n", " *\n", " * @param rollProbabilities The result of all dice rolls with each index + 1\n", " * being a side on the die and the probability for rolling that die in the trial.\n", " */\n", "fun jensenShannonBits(rollProbabilities: List<Double>): Double {\n", "    val sides = rollProbabilities.size\n", "    val u = 1 / sides.toDouble() // Uniform distribution\n", "    var jsd = 0.0\n", "    for (i in 1..sides) {\n", "        val p = rollProbabilities[i - 1]\n", "        val m = 0.5 * (p + u)\n", "        if (p > 0.0) {\n", "            jsd += 0.5 * p * (ln(p / m) / ln(2.0))\n", "        }\n", "        jsd += 0.5 * u * (ln(u / m) / ln(2.0))\n", "    }\n", "    return jsd // ∈ [0, 1] (bounded by 1 bit)\n", "}\n", "\n", "val jsdMaxForD6 = 0.6548575458\n", "val jsdScale = 1.0 / jsdMaxForD6\n", "val jsdValues = rollDistributions\n", "     // Informally try to use the numeric \"distance\" from the expected value as a heuristic.\n", "     // Since this will require another value to also shift, we just count values above the expected,\n", "     // so we do not \"double-count\".\n", "    .add(\"distance\") { row ->\n", "        row.valuesOf<Int>().fold(0) { acc, v ->\n", "            if (v > d6BucketSize) {\n", "                acc + (v - d6BucketSize)\n", "            } else {\n", "                acc\n", "            }\n", "        }\n", "    }\n", "    .convert { allExcept(\"distribution\", \"distance\") }.toDouble()\n", "    .update { colsOf<Double>() }.with { it / rolls }\n", "    .groupBy(\"distribution\")\n", "    .aggregate {\n", "        val rollProps = it.values { colsOf<Double>() }.toList()\n", "        val jsd = jensenShannonBits(rollProps)\n", "        // Convert into a [0-1] range with 1.0 meaning uniform distribution\n", "        jsd into \"jsd\"\n", "        abs(jsdMaxForD6 - jsd)*jsdScale into \"adjustedJSD\"\n", "        it.values().last() into \"distance\"\n", "    }\n", "jsdValues" ],
    "id" : "230c79eb87fad39b",
    "outputs" : [ {
      "data" : {
        "text/html" : [ "            <iframe onload=\"o_resize_iframe_out_3()\" style=\"width:100%;\" class=\"result_container\" id=\"iframe_out_3\" frameBorder=\"0\" srcdoc=\"        &lt;html theme='dark'&gt;\n", "        &lt;head&gt;\n", "            &lt;style type=&quot;text&sol;css&quot;&gt;\n", "                :root {\n", "    --background: #fff;\n", "    --background-odd: #f5f5f5;\n", "    --background-hover: #d9edfd;\n", "    --header-text-color: #474747;\n", "    --text-color: #848484;\n", "    --text-color-dark: #000;\n", "    --text-color-medium: #737373;\n", "    --text-color-pale: #b3b3b3;\n", "    --inner-border-color: #aaa;\n", "    --bold-border-color: #000;\n", "    --link-color: #296eaa;\n", "    --link-color-pale: #296eaa;\n", "    --link-hover: #1a466c;\n", "}\n", "\n", ":root[theme=&quot;dark&quot;], :root [data-jp-theme-light=&quot;false&quot;], .dataframe_dark{\n", "    --background: #303030;\n", "    --background-odd: #3c3c3c;\n", "    --background-hover: #464646;\n", "    --header-text-color: #dddddd;\n", "    --text-color: #b3b3b3;\n", "    --text-color-dark: #dddddd;\n", "    --text-color-medium: #b2b2b2;\n", "    --text-color-pale: #737373;\n", "    --inner-border-color: #707070;\n", "    --bold-border-color: #777777;\n", "    --link-color: #008dc0;\n", "    --link-color-pale: #97e1fb;\n", "    --link-hover: #00688e;\n", "}\n", "\n", "p.dataframe_description {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe {\n", "    font-family: &quot;Helvetica Neue&quot;, Helvetica, Arial, sans-serif;\n", "    font-size: 12px;\n", "    background-color: var(--background);\n", "    color: var(--text-color-dark);\n", "    border: none;\n", "    border-collapse: collapse;\n", "}\n", "\n", "table.dataframe th, td {\n", "    padding: 6px;\n", "    border: 1px solid transparent;\n", "    text-align: left;\n", "}\n", "\n", "table.dataframe th {\n", "    background-color: var(--background);\n", "    color: var(--header-text-color);\n", "}\n", "\n", "table.dataframe td {\n", "    vertical-align: top;\n", "    white-space: nowrap;\n", "}\n", "\n", "table.dataframe th.bottomBorder {\n", "    border-bottom-color: var(--bold-border-color);\n", "}\n", "\n", "table.dataframe tbody &gt; tr:nth-child(odd) {\n", "    background: var(--background-odd);\n", "}\n", "\n", "table.dataframe tbody &gt; tr:nth-child(even) {\n", "    background: var(--background);\n", "}\n", "\n", "table.dataframe tbody &gt; tr:hover {\n", "    background: var(--background-hover);\n", "}\n", "\n", "table.dataframe a {\n", "    cursor: pointer;\n", "    color: var(--link-color);\n", "    text-decoration: none;\n", "}\n", "\n", "table.dataframe tr:hover &gt; td a {\n", "    color: var(--link-color-pale);\n", "}\n", "\n", "table.dataframe a:hover {\n", "    color: var(--link-hover);\n", "    text-decoration: underline;\n", "}\n", "\n", "table.dataframe img {\n", "    max-width: fit-content;\n", "}\n", "\n", "table.dataframe th.complex {\n", "    background-color: var(--background);\n", "    border: 1px solid var(--background);\n", "}\n", "\n", "table.dataframe .leftBorder {\n", "    border-left-color: var(--inner-border-color);\n", "}\n", "\n", "table.dataframe .rightBorder {\n", "    border-right-color: var(--inner-border-color);\n", "}\n", "\n", "table.dataframe .rightAlign {\n", "    text-align: right;\n", "}\n", "\n", "table.dataframe .expanderSvg {\n", "    width: 8px;\n", "    height: 8px;\n", "    margin-right: 3px;\n", "}\n", "\n", "table.dataframe .expander {\n", "    display: flex;\n", "    align-items: center;\n", "}\n", "\n", "&sol;* formatting *&sol;\n", "\n", "table.dataframe .null {\n", "    color: var(--text-color-pale);\n", "}\n", "\n", "table.dataframe .structural {\n", "    color: var(--text-color-medium);\n", "    font-weight: bold;\n", "}\n", "\n", "table.dataframe .dataFrameCaption {\n", "    font-weight: bold;\n", "}\n", "\n", "table.dataframe .numbers {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe td:hover .formatted .structural, .null {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe tr:hover .formatted .structural, .null {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "\n", ":root {\n", "    --scroll-bg: #f5f5f5;\n", "    --scroll-fg: #b3b3b3;\n", "}\n", ":root[theme=&quot;dark&quot;], :root [data-jp-theme-light=&quot;false&quot;]{\n", "    --scroll-bg: #3c3c3c;\n", "    --scroll-fg: #97e1fb;\n", "}\n", "body {\n", "    scrollbar-color: var(--scroll-fg) var(--scroll-bg);\n", "}\n", "body::-webkit-scrollbar {\n", "    width: 10px; &sol;* Mostly for vertical scrollbars *&sol;\n", "    height: 10px; &sol;* Mostly for horizontal scrollbars *&sol;\n", "}\n", "body::-webkit-scrollbar-thumb {\n", "    background-color: var(--scroll-fg);\n", "}\n", "body::-webkit-scrollbar-track {\n", "    background-color: var(--scroll-bg);\n", "}\n", "            &lt;&sol;style&gt;\n", "        &lt;&sol;head&gt;\n", "        &lt;body&gt;\n", "            &lt;table class=&quot;dataframe&quot; id=&quot;df_-1157627900&quot;&gt;&lt;&sol;table&gt;\n", "\n", "&lt;p class=&quot;dataframe_description&quot;&gt;DataFrame: rowsCount = 11, columnsCount = 4&lt;&sol;p&gt;\n", "\n", "        &lt;&sol;body&gt;\n", "        &lt;script&gt;\n", "            (function () {\n", "    window.DataFrame = window.DataFrame || new (function () {\n", "        this.addTable = function (df) {\n", "            let cols = df.cols;\n", "            for (let i = 0; i &lt; cols.length; i++) {\n", "                for (let c of cols[i].children) {\n", "                    cols[c].parent = i;\n", "                }\n", "            }\n", "            df.nrow = 0\n", "            for (let i = 0; i &lt; df.cols.length; i++) {\n", "                if (df.cols[i].values.length &gt; df.nrow) df.nrow = df.cols[i].values.length\n", "            }\n", "            if (df.id === df.rootId) {\n", "                df.expandedFrames = new Set()\n", "                df.childFrames = {}\n", "                const table = this.getTableElement(df.id)\n", "                table.df = df\n", "                for (let i = 0; i &lt; df.cols.length; i++) {\n", "                    let col = df.cols[i]\n", "                    if (col.parent === undefined &amp;&amp; col.children.length &gt; 0) col.expanded = true\n", "                }\n", "            } else {\n", "                const rootDf = this.getTableData(df.rootId)\n", "                rootDf.childFrames[df.id] = df\n", "            }\n", "        }\n", "\n", "        this.computeRenderData = function (df) {\n", "            let result = []\n", "            let pos = 0\n", "            for (let col = 0; col &lt; df.cols.length; col++) {\n", "                if (df.cols[col].parent === undefined)\n", "                    pos += this.computeRenderDataRec(df.cols, col, pos, 0, result, false, false)\n", "            }\n", "            for (let i = 0; i &lt; result.length; i++) {\n", "                let row = result[i]\n", "                for (let j = 0; j &lt; row.length; j++) {\n", "                    let cell = row[j]\n", "                    if (j === 0)\n", "                        cell.leftBd = false\n", "                    if (j &lt; row.length - 1) {\n", "                        let nextData = row[j + 1]\n", "                        if (nextData.leftBd) cell.rightBd = true\n", "                        else if (cell.rightBd) nextData.leftBd = true\n", "                    } else cell.rightBd = false\n", "                }\n", "            }\n", "            return result\n", "        }\n", "\n", "        this.computeRenderDataRec = function (cols, colId, pos, depth, result, leftBorder, rightBorder) {\n", "            if (result.length === depth) {\n", "                const array = [];\n", "                if (pos &gt; 0) {\n", "                    let j = 0\n", "                    for (let i = 0; j &lt; pos; i++) {\n", "                        let c = result[depth - 1][i]\n", "                        j += c.span\n", "                        let copy = Object.assign({empty: true}, c)\n", "                        array.push(copy)\n", "                    }\n", "                }\n", "                result.push(array)\n", "            }\n", "            const col = cols[colId];\n", "            let size = 0;\n", "            if (col.expanded) {\n", "                let childPos = pos\n", "                for (let i = 0; i &lt; col.children.length; i++) {\n", "                    let child = col.children[i]\n", "                    let childLeft = i === 0 &amp;&amp; (col.children.length &gt; 1 || leftBorder)\n", "                    let childRight = i === col.children.length - 1 &amp;&amp; (col.children.length &gt; 1 || rightBorder)\n", "                    let childSize = this.computeRenderDataRec(cols, child, childPos, depth + 1, result, childLeft, childRight)\n", "                    childPos += childSize\n", "                    size += childSize\n", "                }\n", "            } else {\n", "                for (let i = depth + 1; i &lt; result.length; i++)\n", "                    result[i].push({id: colId, span: 1, leftBd: leftBorder, rightBd: rightBorder, empty: true})\n", "                size = 1\n", "            }\n", "            let left = leftBorder\n", "            let right = rightBorder\n", "            if (size &gt; 1) {\n", "                left = true\n", "                right = true\n", "            }\n", "            result[depth].push({id: colId, span: size, leftBd: left, rightBd: right})\n", "            return size\n", "        }\n", "\n", "        this.getTableElement = function (id) {\n", "            return document.getElementById(&quot;df_&quot; + id)\n", "        }\n", "\n", "        this.getTableData = function (id) {\n", "            return this.getTableElement(id).df\n", "        }\n", "\n", "        this.createExpander = function (isExpanded) {\n", "            const svgNs = &quot;http:&sol;&sol;www.w3.org&sol;2000&sol;svg&quot;\n", "            let svg = document.createElementNS(svgNs, &quot;svg&quot;)\n", "            svg.classList.add(&quot;expanderSvg&quot;)\n", "            let path = document.createElementNS(svgNs, &quot;path&quot;)\n", "            if (isExpanded) {\n", "                svg.setAttribute(&quot;viewBox&quot;, &quot;0 -2 8 8&quot;)\n", "                path.setAttribute(&quot;d&quot;, &quot;M1 0 l-1 1 4 4 4 -4 -1 -1 -3 3Z&quot;)\n", "            } else {\n", "                svg.setAttribute(&quot;viewBox&quot;, &quot;-2 0 8 8&quot;)\n", "                path.setAttribute(&quot;d&quot;, &quot;M1 0 l-1 1 3 3 -3 3 1 1 4 -4Z&quot;)\n", "            }\n", "            path.setAttribute(&quot;fill&quot;, &quot;currentColor&quot;)\n", "            svg.appendChild(path)\n", "            return svg\n", "        }\n", "\n", "        this.renderTable = function (id) {\n", "\n", "            let table = this.getTableElement(id)\n", "\n", "            if (table === null) return\n", "\n", "            table.innerHTML = &quot;&quot;\n", "\n", "            let df = table.df\n", "            let rootDf = df.rootId === df.id ? df : this.getTableData(df.rootId)\n", "\n", "            &sol;&sol; header\n", "            let header = document.createElement(&quot;thead&quot;)\n", "            table.appendChild(header)\n", "\n", "            let renderData = this.computeRenderData(df)\n", "            for (let j = 0; j &lt; renderData.length; j++) {\n", "                let rowData = renderData[j]\n", "                let tr = document.createElement(&quot;tr&quot;);\n", "                let isLastRow = j === renderData.length - 1\n", "                header.appendChild(tr);\n", "                for (let i = 0; i &lt; rowData.length; i++) {\n", "                    let cell = rowData[i]\n", "                    let th = document.createElement(&quot;th&quot;);\n", "                    th.setAttribute(&quot;colspan&quot;, cell.span)\n", "                    let colId = cell.id\n", "                    let col = df.cols[colId];\n", "                    if (!cell.empty) {\n", "                        if (col.children.length === 0) {\n", "                            th.innerHTML = col.name\n", "                        } else {\n", "                            let link = document.createElement(&quot;a&quot;)\n", "                            link.className = &quot;expander&quot;\n", "                            let that = this\n", "                            link.onclick = function () {\n", "                                col.expanded = !col.expanded\n", "                                that.renderTable(id)\n", "                            }\n", "                            link.appendChild(this.createExpander(col.expanded))\n", "                            link.innerHTML += col.name\n", "                            th.appendChild(link)\n", "                        }\n", "                    }\n", "                    let classes = (cell.leftBd ? &quot; leftBorder&quot; : &quot;&quot;) + (cell.rightBd ? &quot; rightBorder&quot; : &quot;&quot;)\n", "                    if (col.rightAlign)\n", "                        classes += &quot; rightAlign&quot;\n", "                    if (isLastRow)\n", "                        classes += &quot; bottomBorder&quot;\n", "                    if (classes.length &gt; 0)\n", "                        th.setAttribute(&quot;class&quot;, classes)\n", "                    tr.appendChild(th)\n", "                }\n", "            }\n", "\n", "            &sol;&sol; body\n", "            let body = document.createElement(&quot;tbody&quot;)\n", "            table.appendChild(body)\n", "\n", "            let columns = renderData.pop()\n", "            for (let row = 0; row &lt; df.nrow; row++) {\n", "                let tr = document.createElement(&quot;tr&quot;);\n", "                body.appendChild(tr)\n", "                for (let i = 0; i &lt; columns.length; i++) {\n", "                    let cell = columns[i]\n", "                    let td = document.createElement(&quot;td&quot;);\n", "                    let colId = cell.id\n", "                    let col = df.cols[colId]\n", "                    let classes = (cell.leftBd ? &quot; leftBorder&quot; : &quot;&quot;) + (cell.rightBd ? &quot; rightBorder&quot; : &quot;&quot;)\n", "                    if (col.rightAlign)\n", "                        classes += &quot; rightAlign&quot;\n", "                    if (classes.length &gt; 0)\n", "                        td.setAttribute(&quot;class&quot;, classes)\n", "                    tr.appendChild(td)\n", "                    let value = col.values[row]\n", "                    if (value.frameId !== undefined) {\n", "                        let frameId = value.frameId\n", "                        let expanded = rootDf.expandedFrames.has(frameId)\n", "                        let link = document.createElement(&quot;a&quot;)\n", "                        link.className = &quot;expander&quot;\n", "                        let that = this\n", "                        link.onclick = function () {\n", "                            if (rootDf.expandedFrames.has(frameId))\n", "                                rootDf.expandedFrames.delete(frameId)\n", "                            else rootDf.expandedFrames.add(frameId)\n", "                            that.renderTable(id)\n", "                        }\n", "                        link.appendChild(this.createExpander(expanded))\n", "                        link.innerHTML += value.value\n", "                        if (expanded) {\n", "                            td.appendChild(link)\n", "                            td.appendChild(document.createElement(&quot;p&quot;))\n", "                            const childTable = document.createElement(&quot;table&quot;)\n", "                            childTable.className = &quot;dataframe&quot;\n", "                            childTable.id = &quot;df_&quot; + frameId\n", "                            let childDf = rootDf.childFrames[frameId]\n", "                            childTable.df = childDf\n", "                            td.appendChild(childTable)\n", "                            this.renderTable(frameId)\n", "                            if (childDf.nrow !== childDf.totalRows) {\n", "                                const footer = document.createElement(&quot;p&quot;)\n", "                                footer.innerText = `... showing only top ${childDf.nrow} of ${childDf.totalRows} rows`\n", "                                td.appendChild(footer)\n", "                            }\n", "                        } else {\n", "                            td.appendChild(link)\n", "                        }\n", "                    } else if (value.style !== undefined) {\n", "                        td.innerHTML = value.value\n", "                        td.setAttribute(&quot;style&quot;, value.style)\n", "                    } else td.innerHTML = value\n", "                    this.nodeScriptReplace(td)\n", "                }\n", "            }\n", "        }\n", "\n", "        this.nodeScriptReplace = function (node) {\n", "            if (this.nodeScriptIs(node) === true) {\n", "                node.parentNode.replaceChild(this.nodeScriptClone(node), node);\n", "            } else {\n", "                let i = -1, children = node.childNodes;\n", "                while (++i &lt; children.length) {\n", "                    this.nodeScriptReplace(children[i]);\n", "                }\n", "            }\n", "\n", "            return node;\n", "        }\n", "\n", "        this.nodeScriptClone = function (node) {\n", "            let script = document.createElement(&quot;script&quot;);\n", "            script.text = node.innerHTML;\n", "\n", "            let i = -1, attrs = node.attributes, attr;\n", "            while (++i &lt; attrs.length) {\n", "                script.setAttribute((attr = attrs[i]).name, attr.value);\n", "            }\n", "            return script;\n", "        }\n", "\n", "        this.nodeScriptIs = function (node) {\n", "            return node.tagName === 'SCRIPT';\n", "        }\n", "    })()\n", "\n", "    window.call_DataFrame = function (f) {\n", "        return f();\n", "    };\n", "\n", "    let funQueue = window[&quot;kotlinQueues&quot;] &amp;&amp; window[&quot;kotlinQueues&quot;][&quot;DataFrame&quot;];\n", "    if (funQueue) {\n", "        funQueue.forEach(function (f) {\n", "            f();\n", "        });\n", "        funQueue = [];\n", "    }\n", "})()\n", "\n", "&sol;*&lt;!--*&sol;\n", "call_DataFrame(function() { DataFrame.addTable({ cols: [{ name: &quot;&lt;span title=&bsol;&quot;distribution: String&bsol;&quot;&gt;distribution&lt;&sol;span&gt;&quot;, children: [], rightAlign: false, values: [&quot;All 1&amp;#39;s&quot;,&quot;All 6&amp;#39;s&quot;,&quot;Even buckets - All fail&quot;,&quot;Even buckets - All succed&quot;,&quot;Even buckets - Half succeed&quot;,&quot;Scewed towards bottom&quot;,&quot;Scewed towards top&quot;,&quot;Random (4+)&quot;,&quot;Random 1&quot;,&quot;Random 2&quot;,&quot;Random 3&quot;] }, \n", "{ name: &quot;&lt;span title=&bsol;&quot;jsd: Double&bsol;&quot;&gt;jsd&lt;&sol;span&gt;&quot;, children: [], rightAlign: true, values: [&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.654858&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.654858&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.055145&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.059779&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.002482&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.006924&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.004032&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.005037&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;] }, \n", "{ name: &quot;&lt;span title=&bsol;&quot;adjustedJSD: Double&bsol;&quot;&gt;adjustedJSD&lt;&sol;span&gt;&quot;, children: [], rightAlign: true, values: [&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;1.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;1.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;1.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.915791&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.908715&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.996210&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.989426&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.993842&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.992308&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;] }, \n", "{ name: &quot;&lt;span title=&bsol;&quot;distance: Any&bsol;&quot;&gt;distance&lt;&sol;span&gt;&quot;, children: [], rightAlign: false, values: [&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;100&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;100&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;31&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;31&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;6&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;9&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;7&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;9&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;] }, \n", "], id: -1157627900, rootId: -1157627900, totalRows: 11 } ) });\n", "&sol;*--&gt;*&sol;\n", "\n", "call_DataFrame(function() { DataFrame.renderTable(-1157627900) });\n", "\n", "\n", "        &lt;&sol;script&gt;\n", "        &lt;&sol;html&gt;\"></iframe>\n", "            <script>\n", "                function o_resize_iframe_out_3() {\n", "                    let elem = document.getElementById(\"iframe_out_3\");\n", "                    resize_iframe_out_3(elem);\n", "                    setInterval(resize_iframe_out_3, 5000, elem);\n", "                }\n", "                function resize_iframe_out_3(el) {\n", "                    let h = el.contentWindow.document.body.scrollHeight;\n", "                    el.height = h === 0 ? 0 : h + 41;\n", "                }\n", "            </script>        <html theme='dark'>\n", "        <head>\n", "            <style type=\"text/css\">\n", "                :root {\n", "    --background: #fff;\n", "    --background-odd: #f5f5f5;\n", "    --background-hover: #d9edfd;\n", "    --header-text-color: #474747;\n", "    --text-color: #848484;\n", "    --text-color-dark: #000;\n", "    --text-color-medium: #737373;\n", "    --text-color-pale: #b3b3b3;\n", "    --inner-border-color: #aaa;\n", "    --bold-border-color: #000;\n", "    --link-color: #296eaa;\n", "    --link-color-pale: #296eaa;\n", "    --link-hover: #1a466c;\n", "}\n", "\n", ":root[theme=\"dark\"], :root [data-jp-theme-light=\"false\"], .dataframe_dark{\n", "    --background: #303030;\n", "    --background-odd: #3c3c3c;\n", "    --background-hover: #464646;\n", "    --header-text-color: #dddddd;\n", "    --text-color: #b3b3b3;\n", "    --text-color-dark: #dddddd;\n", "    --text-color-medium: #b2b2b2;\n", "    --text-color-pale: #737373;\n", "    --inner-border-color: #707070;\n", "    --bold-border-color: #777777;\n", "    --link-color: #008dc0;\n", "    --link-color-pale: #97e1fb;\n", "    --link-hover: #00688e;\n", "}\n", "\n", "p.dataframe_description {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe {\n", "    font-family: \"Helvetica Neue\", Helvetica, Arial, sans-serif;\n", "    font-size: 12px;\n", "    background-color: var(--background);\n", "    color: var(--text-color-dark);\n", "    border: none;\n", "    border-collapse: collapse;\n", "}\n", "\n", "table.dataframe th, td {\n", "    padding: 6px;\n", "    border: 1px solid transparent;\n", "    text-align: left;\n", "}\n", "\n", "table.dataframe th {\n", "    background-color: var(--background);\n", "    color: var(--header-text-color);\n", "}\n", "\n", "table.dataframe td {\n", "    vertical-align: top;\n", "    white-space: nowrap;\n", "}\n", "\n", "table.dataframe th.bottomBorder {\n", "    border-bottom-color: var(--bold-border-color);\n", "}\n", "\n", "table.dataframe tbody > tr:nth-child(odd) {\n", "    background: var(--background-odd);\n", "}\n", "\n", "table.dataframe tbody > tr:nth-child(even) {\n", "    background: var(--background);\n", "}\n", "\n", "table.dataframe tbody > tr:hover {\n", "    background: var(--background-hover);\n", "}\n", "\n", "table.dataframe a {\n", "    cursor: pointer;\n", "    color: var(--link-color);\n", "    text-decoration: none;\n", "}\n", "\n", "table.dataframe tr:hover > td a {\n", "    color: var(--link-color-pale);\n", "}\n", "\n", "table.dataframe a:hover {\n", "    color: var(--link-hover);\n", "    text-decoration: underline;\n", "}\n", "\n", "table.dataframe img {\n", "    max-width: fit-content;\n", "}\n", "\n", "table.dataframe th.complex {\n", "    background-color: var(--background);\n", "    border: 1px solid var(--background);\n", "}\n", "\n", "table.dataframe .leftBorder {\n", "    border-left-color: var(--inner-border-color);\n", "}\n", "\n", "table.dataframe .rightBorder {\n", "    border-right-color: var(--inner-border-color);\n", "}\n", "\n", "table.dataframe .rightAlign {\n", "    text-align: right;\n", "}\n", "\n", "table.dataframe .expanderSvg {\n", "    width: 8px;\n", "    height: 8px;\n", "    margin-right: 3px;\n", "}\n", "\n", "table.dataframe .expander {\n", "    display: flex;\n", "    align-items: center;\n", "}\n", "\n", "/* formatting */\n", "\n", "table.dataframe .null {\n", "    color: var(--text-color-pale);\n", "}\n", "\n", "table.dataframe .structural {\n", "    color: var(--text-color-medium);\n", "    font-weight: bold;\n", "}\n", "\n", "table.dataframe .dataFrameCaption {\n", "    font-weight: bold;\n", "}\n", "\n", "table.dataframe .numbers {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe td:hover .formatted .structural, .null {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe tr:hover .formatted .structural, .null {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "\n", "            </style>\n", "        </head>\n", "        <body>\n", "            <table class=\"dataframe\" id=\"static_df_-1157627899\"><thead><tr><th class=\"bottomBorder\" style=\"text-align:left\">distribution</th><th class=\"bottomBorder\" style=\"text-align:left\">jsd</th><th class=\"bottomBorder\" style=\"text-align:left\">adjustedJSD</th><th class=\"bottomBorder\" style=\"text-align:left\">distance</th></tr></thead><tbody><tr><td  style=\"vertical-align:top\">All 1&#39;s</td><td  style=\"vertical-align:top\">0.654858</td><td  style=\"vertical-align:top\">0.000000</td><td  style=\"vertical-align:top\">100</td></tr><tr><td  style=\"vertical-align:top\">All 6&#39;s</td><td  style=\"vertical-align:top\">0.654858</td><td  style=\"vertical-align:top\">0.000000</td><td  style=\"vertical-align:top\">100</td></tr><tr><td  style=\"vertical-align:top\">Even buckets - All fail</td><td  style=\"vertical-align:top\">0.000000</td><td  style=\"vertical-align:top\">1.000000</td><td  style=\"vertical-align:top\">0</td></tr><tr><td  style=\"vertical-align:top\">Even buckets - All succed</td><td  style=\"vertical-align:top\">0.000000</td><td  style=\"vertical-align:top\">1.000000</td><td  style=\"vertical-align:top\">0</td></tr><tr><td  style=\"vertical-align:top\">Even buckets - Half succeed</td><td  style=\"vertical-align:top\">0.000000</td><td  style=\"vertical-align:top\">1.000000</td><td  style=\"vertical-align:top\">0</td></tr><tr><td  style=\"vertical-align:top\">Scewed towards bottom</td><td  style=\"vertical-align:top\">0.055145</td><td  style=\"vertical-align:top\">0.915791</td><td  style=\"vertical-align:top\">31</td></tr><tr><td  style=\"vertical-align:top\">Scewed towards top</td><td  style=\"vertical-align:top\">0.059779</td><td  style=\"vertical-align:top\">0.908715</td><td  style=\"vertical-align:top\">31</td></tr><tr><td  style=\"vertical-align:top\">Random (4+)</td><td  style=\"vertical-align:top\">0.002482</td><td  style=\"vertical-align:top\">0.996210</td><td  style=\"vertical-align:top\">6</td></tr><tr><td  style=\"vertical-align:top\">Random 1</td><td  style=\"vertical-align:top\">0.006924</td><td  style=\"vertical-align:top\">0.989426</td><td  style=\"vertical-align:top\">9</td></tr><tr><td  style=\"vertical-align:top\">Random 2</td><td  style=\"vertical-align:top\">0.004032</td><td  style=\"vertical-align:top\">0.993842</td><td  style=\"vertical-align:top\">7</td></tr><tr><td  style=\"vertical-align:top\">Random 3</td><td  style=\"vertical-align:top\">0.005037</td><td  style=\"vertical-align:top\">0.992308</td><td  style=\"vertical-align:top\">9</td></tr></tbody></table>\n", "        </body>\n", "        <script>\n", "            document.getElementById(\"static_df_-1157627899\").style.display = \"none\";\n", "        </script>\n", "        </html>" ],
        "application/kotlindataframe+json" : "{\"$version\":\"2.1.1\",\"metadata\":{\"columns\":[\"distribution\",\"jsd\",\"adjustedJSD\",\"distance\"],\"types\":[{\"kind\":\"ValueColumn\",\"type\":\"kotlin.String\"},{\"kind\":\"ValueColumn\",\"type\":\"kotlin.Double\"},{\"kind\":\"ValueColumn\",\"type\":\"kotlin.Double\"},{\"kind\":\"ValueColumn\",\"type\":\"kotlin.Any\"}],\"nrow\":11,\"ncol\":4},\"kotlin_dataframe\":[{\"distribution\":\"All 1's\",\"jsd\":0.6548575458269756,\"adjustedJSD\":4.119314821038707E-11,\"distance\":\"100\"},{\"distribution\":\"All 6's\",\"jsd\":0.6548575458269756,\"adjustedJSD\":4.119314821038707E-11,\"distance\":\"100\"},{\"distribution\":\"Even buckets - All fail\",\"jsd\":0.0,\"adjustedJSD\":1.0,\"distance\":\"0\"},{\"distribution\":\"Even buckets - All succed\",\"jsd\":0.0,\"adjustedJSD\":1.0,\"distance\":\"0\"},{\"distribution\":\"Even buckets - Half succeed\",\"jsd\":0.0,\"adjustedJSD\":1.0,\"distance\":\"0\"},{\"distribution\":\"Scewed towards bottom\",\"jsd\":0.05514474124552049,\"adjustedJSD\":0.9157912410123433,\"distance\":\"31\"},{\"distribution\":\"Scewed towards top\",\"jsd\":0.05977887473465095,\"adjustedJSD\":0.9087146889914467,\"distance\":\"31\"},{\"distribution\":\"Random (4+)\",\"jsd\":0.0024820077233640193,\"adjustedJSD\":0.9962098509221087,\"distance\":\"6\"},{\"distribution\":\"Random 1\",\"jsd\":0.006924380262487557,\"adjustedJSD\":0.98942612739687,\"distance\":\"9\"},{\"distribution\":\"Random 2\",\"jsd\":0.004032435849078475,\"adjustedJSD\":0.9938422701625094,\"distance\":\"7\"},{\"distribution\":\"Random 3\",\"jsd\":0.005037249228076367,\"adjustedJSD\":0.9923078702224883,\"distance\":\"9\"}]}"
      },
      "execution_count" : 6,
      "metadata" : { },
      "output_type" : "execute_result"
    } ],
    "execution_count" : 6
  }, {
    "metadata" : {
      "ExecuteTime" : {
        "end_time" : "2025-08-21T14:34:06.412725Z",
        "start_time" : "2025-08-21T14:34:06.064069Z"
      }
    },
    "cell_type" : "code",
    "source" : [ "/**\n", " * Luck-meter, as described on FUMBBL: https://fumbbl.com/help:Luck\n", " * The luck value is a semi-statistical figure that represents the outcome of your rolls compared to the statistically expected average.\n", " *\n", " * It produces a value between [0 - 100], where 50% is \"expected luck\" and 0% is maximally unlucky and 100% is maximally lucky.\n", " *\n", " * Luck = Nominator / Denominator\n", " *\n", " * **Success**\n", " * - Nominator is increased by 1 / (pSuccess + pNeutral / 2)\n", " * - Denominator is increased by 1 / (pSuccess + pNeutral / 2)\n", " *\n", " * This will increase the luck value, but never take it above 1.0.\n", " *\n", " * **Failure**\n", " * - Nominator is unchanged.\n", " * - Denominator is increased by 1 / (pFailure + pNeutral / 2)\n", " *\n", " * This will decrease the luck value, but never take it below 0.\n", " *\n", " * **Neutral**\n", " * - Nominator is increased by 1 / (2 * pSuccess + pNeutral)\n", " * - Denominator is increased by 1 / (2 * pSuccess + pNeutral) + 1 / (2 * pFailure + pNeutral)\n", " *\n", " * Advantage:\n", " * - Tells you something about how lucky or unlucky you are.\n", " * - Easy to calculate.\n", " *\n", " * Critic:\n", " * - Number cannot be compared between games and players.\n", " */\n", "val names = mutableListOf<String>()\n", "val nominators = mutableListOf<Double>()\n", "val denominators = mutableListOf<Double>()\n", "val luckValues = mutableListOf<Double>()\n", "distributions.forEach { (name, rolls) ->\n", "    var nominator = 0.0\n", "    var denominator = 0.0\n", "    rolls.forEach { roll ->\n", "        when (roll.isSuccess()) {\n", "            true -> {\n", "                val change = (1.0 / ((roll.successPropability() + roll.neturalPropability()/2.0)) )\n", "                nominator += change\n", "                denominator += change\n", "            }\n", "            false -> {\n", "                denominator += (1.0 / ((roll.failurePropability() + roll.neturalPropability()/2.0)) )\n", "            }\n", "        }\n", "    }\n", "    names.add(name)\n", "    nominators.add(nominator)\n", "    denominators.add(denominator)\n", "    luckValues.add(if (denominator == 0.0) 1.0 else (nominator/denominator))\n", "}\n", "val fumbblLuckValue = dataFrameOf(\n", "    \"distribution\" to names,\n", "    \"nominator\" to nominators,\n", "    \"denominator\" to denominators,\n", "    \"luck\" to luckValues\n", ")\n", "fumbblLuckValue" ],
    "id" : "92a73f2edcc5840",
    "outputs" : [ {
      "data" : {
        "text/html" : [ "            <iframe onload=\"o_resize_iframe_out_4()\" style=\"width:100%;\" class=\"result_container\" id=\"iframe_out_4\" frameBorder=\"0\" srcdoc=\"        &lt;html theme='dark'&gt;\n", "        &lt;head&gt;\n", "            &lt;style type=&quot;text&sol;css&quot;&gt;\n", "                :root {\n", "    --background: #fff;\n", "    --background-odd: #f5f5f5;\n", "    --background-hover: #d9edfd;\n", "    --header-text-color: #474747;\n", "    --text-color: #848484;\n", "    --text-color-dark: #000;\n", "    --text-color-medium: #737373;\n", "    --text-color-pale: #b3b3b3;\n", "    --inner-border-color: #aaa;\n", "    --bold-border-color: #000;\n", "    --link-color: #296eaa;\n", "    --link-color-pale: #296eaa;\n", "    --link-hover: #1a466c;\n", "}\n", "\n", ":root[theme=&quot;dark&quot;], :root [data-jp-theme-light=&quot;false&quot;], .dataframe_dark{\n", "    --background: #303030;\n", "    --background-odd: #3c3c3c;\n", "    --background-hover: #464646;\n", "    --header-text-color: #dddddd;\n", "    --text-color: #b3b3b3;\n", "    --text-color-dark: #dddddd;\n", "    --text-color-medium: #b2b2b2;\n", "    --text-color-pale: #737373;\n", "    --inner-border-color: #707070;\n", "    --bold-border-color: #777777;\n", "    --link-color: #008dc0;\n", "    --link-color-pale: #97e1fb;\n", "    --link-hover: #00688e;\n", "}\n", "\n", "p.dataframe_description {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe {\n", "    font-family: &quot;Helvetica Neue&quot;, Helvetica, Arial, sans-serif;\n", "    font-size: 12px;\n", "    background-color: var(--background);\n", "    color: var(--text-color-dark);\n", "    border: none;\n", "    border-collapse: collapse;\n", "}\n", "\n", "table.dataframe th, td {\n", "    padding: 6px;\n", "    border: 1px solid transparent;\n", "    text-align: left;\n", "}\n", "\n", "table.dataframe th {\n", "    background-color: var(--background);\n", "    color: var(--header-text-color);\n", "}\n", "\n", "table.dataframe td {\n", "    vertical-align: top;\n", "    white-space: nowrap;\n", "}\n", "\n", "table.dataframe th.bottomBorder {\n", "    border-bottom-color: var(--bold-border-color);\n", "}\n", "\n", "table.dataframe tbody &gt; tr:nth-child(odd) {\n", "    background: var(--background-odd);\n", "}\n", "\n", "table.dataframe tbody &gt; tr:nth-child(even) {\n", "    background: var(--background);\n", "}\n", "\n", "table.dataframe tbody &gt; tr:hover {\n", "    background: var(--background-hover);\n", "}\n", "\n", "table.dataframe a {\n", "    cursor: pointer;\n", "    color: var(--link-color);\n", "    text-decoration: none;\n", "}\n", "\n", "table.dataframe tr:hover &gt; td a {\n", "    color: var(--link-color-pale);\n", "}\n", "\n", "table.dataframe a:hover {\n", "    color: var(--link-hover);\n", "    text-decoration: underline;\n", "}\n", "\n", "table.dataframe img {\n", "    max-width: fit-content;\n", "}\n", "\n", "table.dataframe th.complex {\n", "    background-color: var(--background);\n", "    border: 1px solid var(--background);\n", "}\n", "\n", "table.dataframe .leftBorder {\n", "    border-left-color: var(--inner-border-color);\n", "}\n", "\n", "table.dataframe .rightBorder {\n", "    border-right-color: var(--inner-border-color);\n", "}\n", "\n", "table.dataframe .rightAlign {\n", "    text-align: right;\n", "}\n", "\n", "table.dataframe .expanderSvg {\n", "    width: 8px;\n", "    height: 8px;\n", "    margin-right: 3px;\n", "}\n", "\n", "table.dataframe .expander {\n", "    display: flex;\n", "    align-items: center;\n", "}\n", "\n", "&sol;* formatting *&sol;\n", "\n", "table.dataframe .null {\n", "    color: var(--text-color-pale);\n", "}\n", "\n", "table.dataframe .structural {\n", "    color: var(--text-color-medium);\n", "    font-weight: bold;\n", "}\n", "\n", "table.dataframe .dataFrameCaption {\n", "    font-weight: bold;\n", "}\n", "\n", "table.dataframe .numbers {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe td:hover .formatted .structural, .null {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe tr:hover .formatted .structural, .null {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "\n", ":root {\n", "    --scroll-bg: #f5f5f5;\n", "    --scroll-fg: #b3b3b3;\n", "}\n", ":root[theme=&quot;dark&quot;], :root [data-jp-theme-light=&quot;false&quot;]{\n", "    --scroll-bg: #3c3c3c;\n", "    --scroll-fg: #97e1fb;\n", "}\n", "body {\n", "    scrollbar-color: var(--scroll-fg) var(--scroll-bg);\n", "}\n", "body::-webkit-scrollbar {\n", "    width: 10px; &sol;* Mostly for vertical scrollbars *&sol;\n", "    height: 10px; &sol;* Mostly for horizontal scrollbars *&sol;\n", "}\n", "body::-webkit-scrollbar-thumb {\n", "    background-color: var(--scroll-fg);\n", "}\n", "body::-webkit-scrollbar-track {\n", "    background-color: var(--scroll-bg);\n", "}\n", "            &lt;&sol;style&gt;\n", "        &lt;&sol;head&gt;\n", "        &lt;body&gt;\n", "            &lt;table class=&quot;dataframe&quot; id=&quot;df_-1157627898&quot;&gt;&lt;&sol;table&gt;\n", "\n", "&lt;p class=&quot;dataframe_description&quot;&gt;DataFrame: rowsCount = 11, columnsCount = 4&lt;&sol;p&gt;\n", "\n", "        &lt;&sol;body&gt;\n", "        &lt;script&gt;\n", "            (function () {\n", "    window.DataFrame = window.DataFrame || new (function () {\n", "        this.addTable = function (df) {\n", "            let cols = df.cols;\n", "            for (let i = 0; i &lt; cols.length; i++) {\n", "                for (let c of cols[i].children) {\n", "                    cols[c].parent = i;\n", "                }\n", "            }\n", "            df.nrow = 0\n", "            for (let i = 0; i &lt; df.cols.length; i++) {\n", "                if (df.cols[i].values.length &gt; df.nrow) df.nrow = df.cols[i].values.length\n", "            }\n", "            if (df.id === df.rootId) {\n", "                df.expandedFrames = new Set()\n", "                df.childFrames = {}\n", "                const table = this.getTableElement(df.id)\n", "                table.df = df\n", "                for (let i = 0; i &lt; df.cols.length; i++) {\n", "                    let col = df.cols[i]\n", "                    if (col.parent === undefined &amp;&amp; col.children.length &gt; 0) col.expanded = true\n", "                }\n", "            } else {\n", "                const rootDf = this.getTableData(df.rootId)\n", "                rootDf.childFrames[df.id] = df\n", "            }\n", "        }\n", "\n", "        this.computeRenderData = function (df) {\n", "            let result = []\n", "            let pos = 0\n", "            for (let col = 0; col &lt; df.cols.length; col++) {\n", "                if (df.cols[col].parent === undefined)\n", "                    pos += this.computeRenderDataRec(df.cols, col, pos, 0, result, false, false)\n", "            }\n", "            for (let i = 0; i &lt; result.length; i++) {\n", "                let row = result[i]\n", "                for (let j = 0; j &lt; row.length; j++) {\n", "                    let cell = row[j]\n", "                    if (j === 0)\n", "                        cell.leftBd = false\n", "                    if (j &lt; row.length - 1) {\n", "                        let nextData = row[j + 1]\n", "                        if (nextData.leftBd) cell.rightBd = true\n", "                        else if (cell.rightBd) nextData.leftBd = true\n", "                    } else cell.rightBd = false\n", "                }\n", "            }\n", "            return result\n", "        }\n", "\n", "        this.computeRenderDataRec = function (cols, colId, pos, depth, result, leftBorder, rightBorder) {\n", "            if (result.length === depth) {\n", "                const array = [];\n", "                if (pos &gt; 0) {\n", "                    let j = 0\n", "                    for (let i = 0; j &lt; pos; i++) {\n", "                        let c = result[depth - 1][i]\n", "                        j += c.span\n", "                        let copy = Object.assign({empty: true}, c)\n", "                        array.push(copy)\n", "                    }\n", "                }\n", "                result.push(array)\n", "            }\n", "            const col = cols[colId];\n", "            let size = 0;\n", "            if (col.expanded) {\n", "                let childPos = pos\n", "                for (let i = 0; i &lt; col.children.length; i++) {\n", "                    let child = col.children[i]\n", "                    let childLeft = i === 0 &amp;&amp; (col.children.length &gt; 1 || leftBorder)\n", "                    let childRight = i === col.children.length - 1 &amp;&amp; (col.children.length &gt; 1 || rightBorder)\n", "                    let childSize = this.computeRenderDataRec(cols, child, childPos, depth + 1, result, childLeft, childRight)\n", "                    childPos += childSize\n", "                    size += childSize\n", "                }\n", "            } else {\n", "                for (let i = depth + 1; i &lt; result.length; i++)\n", "                    result[i].push({id: colId, span: 1, leftBd: leftBorder, rightBd: rightBorder, empty: true})\n", "                size = 1\n", "            }\n", "            let left = leftBorder\n", "            let right = rightBorder\n", "            if (size &gt; 1) {\n", "                left = true\n", "                right = true\n", "            }\n", "            result[depth].push({id: colId, span: size, leftBd: left, rightBd: right})\n", "            return size\n", "        }\n", "\n", "        this.getTableElement = function (id) {\n", "            return document.getElementById(&quot;df_&quot; + id)\n", "        }\n", "\n", "        this.getTableData = function (id) {\n", "            return this.getTableElement(id).df\n", "        }\n", "\n", "        this.createExpander = function (isExpanded) {\n", "            const svgNs = &quot;http:&sol;&sol;www.w3.org&sol;2000&sol;svg&quot;\n", "            let svg = document.createElementNS(svgNs, &quot;svg&quot;)\n", "            svg.classList.add(&quot;expanderSvg&quot;)\n", "            let path = document.createElementNS(svgNs, &quot;path&quot;)\n", "            if (isExpanded) {\n", "                svg.setAttribute(&quot;viewBox&quot;, &quot;0 -2 8 8&quot;)\n", "                path.setAttribute(&quot;d&quot;, &quot;M1 0 l-1 1 4 4 4 -4 -1 -1 -3 3Z&quot;)\n", "            } else {\n", "                svg.setAttribute(&quot;viewBox&quot;, &quot;-2 0 8 8&quot;)\n", "                path.setAttribute(&quot;d&quot;, &quot;M1 0 l-1 1 3 3 -3 3 1 1 4 -4Z&quot;)\n", "            }\n", "            path.setAttribute(&quot;fill&quot;, &quot;currentColor&quot;)\n", "            svg.appendChild(path)\n", "            return svg\n", "        }\n", "\n", "        this.renderTable = function (id) {\n", "\n", "            let table = this.getTableElement(id)\n", "\n", "            if (table === null) return\n", "\n", "            table.innerHTML = &quot;&quot;\n", "\n", "            let df = table.df\n", "            let rootDf = df.rootId === df.id ? df : this.getTableData(df.rootId)\n", "\n", "            &sol;&sol; header\n", "            let header = document.createElement(&quot;thead&quot;)\n", "            table.appendChild(header)\n", "\n", "            let renderData = this.computeRenderData(df)\n", "            for (let j = 0; j &lt; renderData.length; j++) {\n", "                let rowData = renderData[j]\n", "                let tr = document.createElement(&quot;tr&quot;);\n", "                let isLastRow = j === renderData.length - 1\n", "                header.appendChild(tr);\n", "                for (let i = 0; i &lt; rowData.length; i++) {\n", "                    let cell = rowData[i]\n", "                    let th = document.createElement(&quot;th&quot;);\n", "                    th.setAttribute(&quot;colspan&quot;, cell.span)\n", "                    let colId = cell.id\n", "                    let col = df.cols[colId];\n", "                    if (!cell.empty) {\n", "                        if (col.children.length === 0) {\n", "                            th.innerHTML = col.name\n", "                        } else {\n", "                            let link = document.createElement(&quot;a&quot;)\n", "                            link.className = &quot;expander&quot;\n", "                            let that = this\n", "                            link.onclick = function () {\n", "                                col.expanded = !col.expanded\n", "                                that.renderTable(id)\n", "                            }\n", "                            link.appendChild(this.createExpander(col.expanded))\n", "                            link.innerHTML += col.name\n", "                            th.appendChild(link)\n", "                        }\n", "                    }\n", "                    let classes = (cell.leftBd ? &quot; leftBorder&quot; : &quot;&quot;) + (cell.rightBd ? &quot; rightBorder&quot; : &quot;&quot;)\n", "                    if (col.rightAlign)\n", "                        classes += &quot; rightAlign&quot;\n", "                    if (isLastRow)\n", "                        classes += &quot; bottomBorder&quot;\n", "                    if (classes.length &gt; 0)\n", "                        th.setAttribute(&quot;class&quot;, classes)\n", "                    tr.appendChild(th)\n", "                }\n", "            }\n", "\n", "            &sol;&sol; body\n", "            let body = document.createElement(&quot;tbody&quot;)\n", "            table.appendChild(body)\n", "\n", "            let columns = renderData.pop()\n", "            for (let row = 0; row &lt; df.nrow; row++) {\n", "                let tr = document.createElement(&quot;tr&quot;);\n", "                body.appendChild(tr)\n", "                for (let i = 0; i &lt; columns.length; i++) {\n", "                    let cell = columns[i]\n", "                    let td = document.createElement(&quot;td&quot;);\n", "                    let colId = cell.id\n", "                    let col = df.cols[colId]\n", "                    let classes = (cell.leftBd ? &quot; leftBorder&quot; : &quot;&quot;) + (cell.rightBd ? &quot; rightBorder&quot; : &quot;&quot;)\n", "                    if (col.rightAlign)\n", "                        classes += &quot; rightAlign&quot;\n", "                    if (classes.length &gt; 0)\n", "                        td.setAttribute(&quot;class&quot;, classes)\n", "                    tr.appendChild(td)\n", "                    let value = col.values[row]\n", "                    if (value.frameId !== undefined) {\n", "                        let frameId = value.frameId\n", "                        let expanded = rootDf.expandedFrames.has(frameId)\n", "                        let link = document.createElement(&quot;a&quot;)\n", "                        link.className = &quot;expander&quot;\n", "                        let that = this\n", "                        link.onclick = function () {\n", "                            if (rootDf.expandedFrames.has(frameId))\n", "                                rootDf.expandedFrames.delete(frameId)\n", "                            else rootDf.expandedFrames.add(frameId)\n", "                            that.renderTable(id)\n", "                        }\n", "                        link.appendChild(this.createExpander(expanded))\n", "                        link.innerHTML += value.value\n", "                        if (expanded) {\n", "                            td.appendChild(link)\n", "                            td.appendChild(document.createElement(&quot;p&quot;))\n", "                            const childTable = document.createElement(&quot;table&quot;)\n", "                            childTable.className = &quot;dataframe&quot;\n", "                            childTable.id = &quot;df_&quot; + frameId\n", "                            let childDf = rootDf.childFrames[frameId]\n", "                            childTable.df = childDf\n", "                            td.appendChild(childTable)\n", "                            this.renderTable(frameId)\n", "                            if (childDf.nrow !== childDf.totalRows) {\n", "                                const footer = document.createElement(&quot;p&quot;)\n", "                                footer.innerText = `... showing only top ${childDf.nrow} of ${childDf.totalRows} rows`\n", "                                td.appendChild(footer)\n", "                            }\n", "                        } else {\n", "                            td.appendChild(link)\n", "                        }\n", "                    } else if (value.style !== undefined) {\n", "                        td.innerHTML = value.value\n", "                        td.setAttribute(&quot;style&quot;, value.style)\n", "                    } else td.innerHTML = value\n", "                    this.nodeScriptReplace(td)\n", "                }\n", "            }\n", "        }\n", "\n", "        this.nodeScriptReplace = function (node) {\n", "            if (this.nodeScriptIs(node) === true) {\n", "                node.parentNode.replaceChild(this.nodeScriptClone(node), node);\n", "            } else {\n", "                let i = -1, children = node.childNodes;\n", "                while (++i &lt; children.length) {\n", "                    this.nodeScriptReplace(children[i]);\n", "                }\n", "            }\n", "\n", "            return node;\n", "        }\n", "\n", "        this.nodeScriptClone = function (node) {\n", "            let script = document.createElement(&quot;script&quot;);\n", "            script.text = node.innerHTML;\n", "\n", "            let i = -1, attrs = node.attributes, attr;\n", "            while (++i &lt; attrs.length) {\n", "                script.setAttribute((attr = attrs[i]).name, attr.value);\n", "            }\n", "            return script;\n", "        }\n", "\n", "        this.nodeScriptIs = function (node) {\n", "            return node.tagName === 'SCRIPT';\n", "        }\n", "    })()\n", "\n", "    window.call_DataFrame = function (f) {\n", "        return f();\n", "    };\n", "\n", "    let funQueue = window[&quot;kotlinQueues&quot;] &amp;&amp; window[&quot;kotlinQueues&quot;][&quot;DataFrame&quot;];\n", "    if (funQueue) {\n", "        funQueue.forEach(function (f) {\n", "            f();\n", "        });\n", "        funQueue = [];\n", "    }\n", "})()\n", "\n", "&sol;*&lt;!--*&sol;\n", "call_DataFrame(function() { DataFrame.addTable({ cols: [{ name: &quot;&lt;span title=&bsol;&quot;distribution: String&bsol;&quot;&gt;distribution&lt;&sol;span&gt;&quot;, children: [], rightAlign: false, values: [&quot;All 1&amp;#39;s&quot;,&quot;All 6&amp;#39;s&quot;,&quot;Even buckets - All fail&quot;,&quot;Even buckets - All succed&quot;,&quot;Even buckets - Half succeed&quot;,&quot;Scewed towards bottom&quot;,&quot;Scewed towards top&quot;,&quot;Random (4+)&quot;,&quot;Random 1&quot;,&quot;Random 2&quot;,&quot;Random 3&quot;] }, \n", "{ name: &quot;&lt;span title=&bsol;&quot;nominator: Double&bsol;&quot;&gt;nominator&lt;&sol;span&gt;&quot;, children: [], rightAlign: true, values: [&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;309.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;120.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;120.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;69.300000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;166.400000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;118.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;109.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;140.600000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;149.500000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;] }, \n", "{ name: &quot;&lt;span title=&bsol;&quot;denominator: Double&bsol;&quot;&gt;denominator&lt;&sol;span&gt;&quot;, children: [], rightAlign: true, values: [&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;312.200000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;309.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;120.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;120.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;240.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;243.600000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;240.600000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;240.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;256.700000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;274.100000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;250.600000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;] }, \n", "{ name: &quot;&lt;span title=&bsol;&quot;luck: Double&bsol;&quot;&gt;luck&lt;&sol;span&gt;&quot;, children: [], rightAlign: true, values: [&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;1.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;1.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.500000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.284483&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.691604&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.491667&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.424620&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.512951&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.596568&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;] }, \n", "], id: -1157627898, rootId: -1157627898, totalRows: 11 } ) });\n", "&sol;*--&gt;*&sol;\n", "\n", "call_DataFrame(function() { DataFrame.renderTable(-1157627898) });\n", "\n", "\n", "        &lt;&sol;script&gt;\n", "        &lt;&sol;html&gt;\"></iframe>\n", "            <script>\n", "                function o_resize_iframe_out_4() {\n", "                    let elem = document.getElementById(\"iframe_out_4\");\n", "                    resize_iframe_out_4(elem);\n", "                    setInterval(resize_iframe_out_4, 5000, elem);\n", "                }\n", "                function resize_iframe_out_4(el) {\n", "                    let h = el.contentWindow.document.body.scrollHeight;\n", "                    el.height = h === 0 ? 0 : h + 41;\n", "                }\n", "            </script>        <html theme='dark'>\n", "        <head>\n", "            <style type=\"text/css\">\n", "                :root {\n", "    --background: #fff;\n", "    --background-odd: #f5f5f5;\n", "    --background-hover: #d9edfd;\n", "    --header-text-color: #474747;\n", "    --text-color: #848484;\n", "    --text-color-dark: #000;\n", "    --text-color-medium: #737373;\n", "    --text-color-pale: #b3b3b3;\n", "    --inner-border-color: #aaa;\n", "    --bold-border-color: #000;\n", "    --link-color: #296eaa;\n", "    --link-color-pale: #296eaa;\n", "    --link-hover: #1a466c;\n", "}\n", "\n", ":root[theme=\"dark\"], :root [data-jp-theme-light=\"false\"], .dataframe_dark{\n", "    --background: #303030;\n", "    --background-odd: #3c3c3c;\n", "    --background-hover: #464646;\n", "    --header-text-color: #dddddd;\n", "    --text-color: #b3b3b3;\n", "    --text-color-dark: #dddddd;\n", "    --text-color-medium: #b2b2b2;\n", "    --text-color-pale: #737373;\n", "    --inner-border-color: #707070;\n", "    --bold-border-color: #777777;\n", "    --link-color: #008dc0;\n", "    --link-color-pale: #97e1fb;\n", "    --link-hover: #00688e;\n", "}\n", "\n", "p.dataframe_description {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe {\n", "    font-family: \"Helvetica Neue\", Helvetica, Arial, sans-serif;\n", "    font-size: 12px;\n", "    background-color: var(--background);\n", "    color: var(--text-color-dark);\n", "    border: none;\n", "    border-collapse: collapse;\n", "}\n", "\n", "table.dataframe th, td {\n", "    padding: 6px;\n", "    border: 1px solid transparent;\n", "    text-align: left;\n", "}\n", "\n", "table.dataframe th {\n", "    background-color: var(--background);\n", "    color: var(--header-text-color);\n", "}\n", "\n", "table.dataframe td {\n", "    vertical-align: top;\n", "    white-space: nowrap;\n", "}\n", "\n", "table.dataframe th.bottomBorder {\n", "    border-bottom-color: var(--bold-border-color);\n", "}\n", "\n", "table.dataframe tbody > tr:nth-child(odd) {\n", "    background: var(--background-odd);\n", "}\n", "\n", "table.dataframe tbody > tr:nth-child(even) {\n", "    background: var(--background);\n", "}\n", "\n", "table.dataframe tbody > tr:hover {\n", "    background: var(--background-hover);\n", "}\n", "\n", "table.dataframe a {\n", "    cursor: pointer;\n", "    color: var(--link-color);\n", "    text-decoration: none;\n", "}\n", "\n", "table.dataframe tr:hover > td a {\n", "    color: var(--link-color-pale);\n", "}\n", "\n", "table.dataframe a:hover {\n", "    color: var(--link-hover);\n", "    text-decoration: underline;\n", "}\n", "\n", "table.dataframe img {\n", "    max-width: fit-content;\n", "}\n", "\n", "table.dataframe th.complex {\n", "    background-color: var(--background);\n", "    border: 1px solid var(--background);\n", "}\n", "\n", "table.dataframe .leftBorder {\n", "    border-left-color: var(--inner-border-color);\n", "}\n", "\n", "table.dataframe .rightBorder {\n", "    border-right-color: var(--inner-border-color);\n", "}\n", "\n", "table.dataframe .rightAlign {\n", "    text-align: right;\n", "}\n", "\n", "table.dataframe .expanderSvg {\n", "    width: 8px;\n", "    height: 8px;\n", "    margin-right: 3px;\n", "}\n", "\n", "table.dataframe .expander {\n", "    display: flex;\n", "    align-items: center;\n", "}\n", "\n", "/* formatting */\n", "\n", "table.dataframe .null {\n", "    color: var(--text-color-pale);\n", "}\n", "\n", "table.dataframe .structural {\n", "    color: var(--text-color-medium);\n", "    font-weight: bold;\n", "}\n", "\n", "table.dataframe .dataFrameCaption {\n", "    font-weight: bold;\n", "}\n", "\n", "table.dataframe .numbers {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe td:hover .formatted .structural, .null {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe tr:hover .formatted .structural, .null {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "\n", "            </style>\n", "        </head>\n", "        <body>\n", "            <table class=\"dataframe\" id=\"static_df_-1157627897\"><thead><tr><th class=\"bottomBorder\" style=\"text-align:left\">distribution</th><th class=\"bottomBorder\" style=\"text-align:left\">nominator</th><th class=\"bottomBorder\" style=\"text-align:left\">denominator</th><th class=\"bottomBorder\" style=\"text-align:left\">luck</th></tr></thead><tbody><tr><td  style=\"vertical-align:top\">All 1&#39;s</td><td  style=\"vertical-align:top\">0.000000</td><td  style=\"vertical-align:top\">312.200000</td><td  style=\"vertical-align:top\">0.000000</td></tr><tr><td  style=\"vertical-align:top\">All 6&#39;s</td><td  style=\"vertical-align:top\">309.000000</td><td  style=\"vertical-align:top\">309.000000</td><td  style=\"vertical-align:top\">1.000000</td></tr><tr><td  style=\"vertical-align:top\">Even buckets - All fail</td><td  style=\"vertical-align:top\">0.000000</td><td  style=\"vertical-align:top\">120.000000</td><td  style=\"vertical-align:top\">0.000000</td></tr><tr><td  style=\"vertical-align:top\">Even buckets - All succed</td><td  style=\"vertical-align:top\">120.000000</td><td  style=\"vertical-align:top\">120.000000</td><td  style=\"vertical-align:top\">1.000000</td></tr><tr><td  style=\"vertical-align:top\">Even buckets - Half succeed</td><td  style=\"vertical-align:top\">120.000000</td><td  style=\"vertical-align:top\">240.000000</td><td  style=\"vertical-align:top\">0.500000</td></tr><tr><td  style=\"vertical-align:top\">Scewed towards bottom</td><td  style=\"vertical-align:top\">69.300000</td><td  style=\"vertical-align:top\">243.600000</td><td  style=\"vertical-align:top\">0.284483</td></tr><tr><td  style=\"vertical-align:top\">Scewed towards top</td><td  style=\"vertical-align:top\">166.400000</td><td  style=\"vertical-align:top\">240.600000</td><td  style=\"vertical-align:top\">0.691604</td></tr><tr><td  style=\"vertical-align:top\">Random (4+)</td><td  style=\"vertical-align:top\">118.000000</td><td  style=\"vertical-align:top\">240.000000</td><td  style=\"vertical-align:top\">0.491667</td></tr><tr><td  style=\"vertical-align:top\">Random 1</td><td  style=\"vertical-align:top\">109.000000</td><td  style=\"vertical-align:top\">256.700000</td><td  style=\"vertical-align:top\">0.424620</td></tr><tr><td  style=\"vertical-align:top\">Random 2</td><td  style=\"vertical-align:top\">140.600000</td><td  style=\"vertical-align:top\">274.100000</td><td  style=\"vertical-align:top\">0.512951</td></tr><tr><td  style=\"vertical-align:top\">Random 3</td><td  style=\"vertical-align:top\">149.500000</td><td  style=\"vertical-align:top\">250.600000</td><td  style=\"vertical-align:top\">0.596568</td></tr></tbody></table>\n", "        </body>\n", "        <script>\n", "            document.getElementById(\"static_df_-1157627897\").style.display = \"none\";\n", "        </script>\n", "        </html>" ],
        "application/kotlindataframe+json" : "{\"$version\":\"2.1.1\",\"metadata\":{\"columns\":[\"distribution\",\"nominator\",\"denominator\",\"luck\"],\"types\":[{\"kind\":\"ValueColumn\",\"type\":\"kotlin.String\"},{\"kind\":\"ValueColumn\",\"type\":\"kotlin.Double\"},{\"kind\":\"ValueColumn\",\"type\":\"kotlin.Double\"},{\"kind\":\"ValueColumn\",\"type\":\"kotlin.Double\"}],\"nrow\":11,\"ncol\":4},\"kotlin_dataframe\":[{\"distribution\":\"All 1's\",\"nominator\":0.0,\"denominator\":312.19999999999993,\"luck\":0.0},{\"distribution\":\"All 6's\",\"nominator\":308.9999999999999,\"denominator\":308.9999999999999,\"luck\":1.0},{\"distribution\":\"Even buckets - All fail\",\"nominator\":0.0,\"denominator\":120.0,\"luck\":0.0},{\"distribution\":\"Even buckets - All succed\",\"nominator\":120.0,\"denominator\":120.0,\"luck\":1.0},{\"distribution\":\"Even buckets - Half succeed\",\"nominator\":120.0,\"denominator\":240.0,\"luck\":0.5},{\"distribution\":\"Scewed towards bottom\",\"nominator\":69.30000000000003,\"denominator\":243.59999999999985,\"luck\":0.28448275862068995},{\"distribution\":\"Scewed towards top\",\"nominator\":166.40000000000003,\"denominator\":240.59999999999994,\"luck\":0.6916043225270161},{\"distribution\":\"Random (4+)\",\"nominator\":118.0,\"denominator\":240.0,\"luck\":0.49166666666666664},{\"distribution\":\"Random 1\",\"nominator\":109.00000000000004,\"denominator\":256.6999999999998,\"luck\":0.4246201791975073},{\"distribution\":\"Random 2\",\"nominator\":140.60000000000002,\"denominator\":274.0999999999998,\"luck\":0.5129514775629337},{\"distribution\":\"Random 3\",\"nominator\":149.50000000000006,\"denominator\":250.59999999999985,\"luck\":0.5965682362330412}]}"
      },
      "execution_count" : 7,
      "metadata" : { },
      "output_type" : "execute_result"
    } ],
    "execution_count" : 7
  }, {
    "metadata" : {
      "ExecuteTime" : {
        "end_time" : "2025-08-21T14:34:07.291493Z",
        "start_time" : "2025-08-21T14:34:06.545679Z"
      }
    },
    "cell_type" : "code",
    "source" : [ "import org.jetbrains.kotlinx.statistics.math3.special.Erf.erf\n", "\n", "/***\n", " * Use the Z-score as a measure of \"luck\", i.e. how far from the average did we roll. This takes into account the roll\n", " * and probability for each roll, e.g., it takes into account that rolling a 2+ is easer than a 6+.\n", " *\n", " * Definition: Z-score is the number (distance) of standard deviation away (above or below) the mean.\n", " * By definition the Z score of the mean is 0.\n", " *\n", " * This means that the Z-score can say something about how extreme an outcome is within its own distribution,\n", " * which can be compared to other games or players. The absolute number of dice rolled and success can be different\n", " * and still have the same Z-score. It just tells you something about how likely the outcome was given the amount of dice\n", " * rolled and their successes.\n", " *\n", " * Advantage:\n", " * - Standard way to look at probabilities\n", " * - Can be compared against other players and games\n", " *\n", " * Critic:\n", " * - Z-score is not a [0-1] range, making it harder to interpret.\n", " * - Z-score is not linear.\n", " * - If either all succeed or all fail the Z-score is `null`.\n", " *\n", " * See https://en.wikipedia.org/wiki/Standard_score\n", " * See https://en.wikipedia.org/wiki/Bernoulli_trial\n", " */\n", "\n", "/**\n", " * Wrap Roll results for Bernoulli trial calculations\n", " * @param p Probability [0-1] that the roll is a success\n", " * @param success the roll was an actual success\n", " */\n", "data class Roll(val p: Double, val success: Boolean)\n", "\n", "@DataSchema\n", "data class LuckSummary(\n", "    val n: Int,\n", "    val successes: Int,\n", "    val expected: Double,\n", "    val variance: Double,\n", "    val centeredLuck: Double,     // S - μ\n", "    val zScore: Double?,          // (S-μ)/σ, null if σ==0\n", "    val tailP: Double,            // P(X >= S)\n", "    val surprisalLog10: Double,   // -log10(tailP)\n", "    val rarityPercentage: Double? // Two-sided rarity % (assuming normal distribution)\n", ")\n", "\n", "@DataSchema\n", "data class LuckRow(\n", "    val distribution: String,\n", "    val summary: LuckSummary\n", ")\n", "\n", "/** Exact Poisson–binomial tail P(X >= s) via O(n^2) DP. */\n", "fun tailProbAtLeast(ps: DoubleArray, s: Int): Double {\n", "    val n = ps.size\n", "    var dp = DoubleArray(n + 1) { 0.0 }\n", "    dp[0] = 1.0\n", "    for (p in ps) {\n", "        val next = DoubleArray(n + 1)\n", "        for (k in 0..n) {\n", "            if (dp[k] == 0.0) continue\n", "            next[k] += dp[k] * (1 - p)         // failure\n", "            if (k + 1 <= n) next[k + 1] += dp[k] * p // success\n", "        }\n", "        dp = next\n", "    }\n", "    var tail = 0.0\n", "    for (k in s..n) tail += dp[k]\n", "    return tail.coerceIn(0.0, 1.0)\n", "}\n", "\n", "/**\n", " * One-sided rarity % for a Z-score (negative is \"bad luck\", positive is \"good luck\").\n", " * Note, this assumes a normal distribution, which dice rolls only approximate.\n", " * It will especially be off at a low amount of rolls\n", " */\n", "fun rarityPercent(zScore: Double): Double {\n", "    val oneSidedTail = 0.5 * (1 - erf(abs(zScore) / sqrt(2.0))) * 100.0\n", "    return if (zScore >= 0) oneSidedTail else -oneSidedTail\n", "}\n", "\n", "fun summarizeLuck(rolls: List<Roll>): LuckSummary {\n", "    val ps = rolls.map { it.p }.toDoubleArray()\n", "    val s = rolls.count { it.success }\n", "    val expected = ps.sum()\n", "    val variance = ps.sumOf { it * (1 - it) }\n", "    val sigma = kotlin.math.sqrt(variance)\n", "    val centered = s - expected\n", "    val z = if (sigma > 0) centered / sigma else null\n", "    val tailP = tailProbAtLeast(ps, s)\n", "    val surprisal = if (tailP > 0) -kotlin.math.log10(tailP) else Double.POSITIVE_INFINITY\n", "    return LuckSummary(\n", "        n = rolls.size,\n", "        successes = s,\n", "        expected = expected,\n", "        variance = variance,\n", "        centeredLuck = centered,\n", "        zScore = z,\n", "        tailP = tailP,\n", "        surprisalLog10 = surprisal,\n", "        rarityPercentage = if (z != null) rarityPercent(z) else null\n", "    )\n", "}\n", "\n", "val zScoreLuckSummary = distributions.map { (name, rolls) ->\n", "    val rollsWithProbabilities = rolls.map {\n", "        Roll(it.successPropability(), it.isSuccess())\n", "    }\n", "    LuckRow(name, summarizeLuck(rollsWithProbabilities))\n", "}.toDataFrame().flatten()\n", "zScoreLuckSummary" ],
    "id" : "e473c59b8da9bbc6",
    "outputs" : [ {
      "data" : {
        "text/html" : [ "            <iframe onload=\"o_resize_iframe_out_7()\" style=\"width:100%;\" class=\"result_container\" id=\"iframe_out_7\" frameBorder=\"0\" srcdoc=\"        &lt;html theme='dark'&gt;\n", "        &lt;head&gt;\n", "            &lt;style type=&quot;text&sol;css&quot;&gt;\n", "                :root {\n", "    --background: #fff;\n", "    --background-odd: #f5f5f5;\n", "    --background-hover: #d9edfd;\n", "    --header-text-color: #474747;\n", "    --text-color: #848484;\n", "    --text-color-dark: #000;\n", "    --text-color-medium: #737373;\n", "    --text-color-pale: #b3b3b3;\n", "    --inner-border-color: #aaa;\n", "    --bold-border-color: #000;\n", "    --link-color: #296eaa;\n", "    --link-color-pale: #296eaa;\n", "    --link-hover: #1a466c;\n", "}\n", "\n", ":root[theme=&quot;dark&quot;], :root [data-jp-theme-light=&quot;false&quot;], .dataframe_dark{\n", "    --background: #303030;\n", "    --background-odd: #3c3c3c;\n", "    --background-hover: #464646;\n", "    --header-text-color: #dddddd;\n", "    --text-color: #b3b3b3;\n", "    --text-color-dark: #dddddd;\n", "    --text-color-medium: #b2b2b2;\n", "    --text-color-pale: #737373;\n", "    --inner-border-color: #707070;\n", "    --bold-border-color: #777777;\n", "    --link-color: #008dc0;\n", "    --link-color-pale: #97e1fb;\n", "    --link-hover: #00688e;\n", "}\n", "\n", "p.dataframe_description {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe {\n", "    font-family: &quot;Helvetica Neue&quot;, Helvetica, Arial, sans-serif;\n", "    font-size: 12px;\n", "    background-color: var(--background);\n", "    color: var(--text-color-dark);\n", "    border: none;\n", "    border-collapse: collapse;\n", "}\n", "\n", "table.dataframe th, td {\n", "    padding: 6px;\n", "    border: 1px solid transparent;\n", "    text-align: left;\n", "}\n", "\n", "table.dataframe th {\n", "    background-color: var(--background);\n", "    color: var(--header-text-color);\n", "}\n", "\n", "table.dataframe td {\n", "    vertical-align: top;\n", "    white-space: nowrap;\n", "}\n", "\n", "table.dataframe th.bottomBorder {\n", "    border-bottom-color: var(--bold-border-color);\n", "}\n", "\n", "table.dataframe tbody &gt; tr:nth-child(odd) {\n", "    background: var(--background-odd);\n", "}\n", "\n", "table.dataframe tbody &gt; tr:nth-child(even) {\n", "    background: var(--background);\n", "}\n", "\n", "table.dataframe tbody &gt; tr:hover {\n", "    background: var(--background-hover);\n", "}\n", "\n", "table.dataframe a {\n", "    cursor: pointer;\n", "    color: var(--link-color);\n", "    text-decoration: none;\n", "}\n", "\n", "table.dataframe tr:hover &gt; td a {\n", "    color: var(--link-color-pale);\n", "}\n", "\n", "table.dataframe a:hover {\n", "    color: var(--link-hover);\n", "    text-decoration: underline;\n", "}\n", "\n", "table.dataframe img {\n", "    max-width: fit-content;\n", "}\n", "\n", "table.dataframe th.complex {\n", "    background-color: var(--background);\n", "    border: 1px solid var(--background);\n", "}\n", "\n", "table.dataframe .leftBorder {\n", "    border-left-color: var(--inner-border-color);\n", "}\n", "\n", "table.dataframe .rightBorder {\n", "    border-right-color: var(--inner-border-color);\n", "}\n", "\n", "table.dataframe .rightAlign {\n", "    text-align: right;\n", "}\n", "\n", "table.dataframe .expanderSvg {\n", "    width: 8px;\n", "    height: 8px;\n", "    margin-right: 3px;\n", "}\n", "\n", "table.dataframe .expander {\n", "    display: flex;\n", "    align-items: center;\n", "}\n", "\n", "&sol;* formatting *&sol;\n", "\n", "table.dataframe .null {\n", "    color: var(--text-color-pale);\n", "}\n", "\n", "table.dataframe .structural {\n", "    color: var(--text-color-medium);\n", "    font-weight: bold;\n", "}\n", "\n", "table.dataframe .dataFrameCaption {\n", "    font-weight: bold;\n", "}\n", "\n", "table.dataframe .numbers {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe td:hover .formatted .structural, .null {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe tr:hover .formatted .structural, .null {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "\n", ":root {\n", "    --scroll-bg: #f5f5f5;\n", "    --scroll-fg: #b3b3b3;\n", "}\n", ":root[theme=&quot;dark&quot;], :root [data-jp-theme-light=&quot;false&quot;]{\n", "    --scroll-bg: #3c3c3c;\n", "    --scroll-fg: #97e1fb;\n", "}\n", "body {\n", "    scrollbar-color: var(--scroll-fg) var(--scroll-bg);\n", "}\n", "body::-webkit-scrollbar {\n", "    width: 10px; &sol;* Mostly for vertical scrollbars *&sol;\n", "    height: 10px; &sol;* Mostly for horizontal scrollbars *&sol;\n", "}\n", "body::-webkit-scrollbar-thumb {\n", "    background-color: var(--scroll-fg);\n", "}\n", "body::-webkit-scrollbar-track {\n", "    background-color: var(--scroll-bg);\n", "}\n", "            &lt;&sol;style&gt;\n", "        &lt;&sol;head&gt;\n", "        &lt;body&gt;\n", "            &lt;table class=&quot;dataframe&quot; id=&quot;df_-1157627892&quot;&gt;&lt;&sol;table&gt;\n", "\n", "&lt;p class=&quot;dataframe_description&quot;&gt;DataFrame: rowsCount = 11, columnsCount = 10&lt;&sol;p&gt;\n", "\n", "        &lt;&sol;body&gt;\n", "        &lt;script&gt;\n", "            (function () {\n", "    window.DataFrame = window.DataFrame || new (function () {\n", "        this.addTable = function (df) {\n", "            let cols = df.cols;\n", "            for (let i = 0; i &lt; cols.length; i++) {\n", "                for (let c of cols[i].children) {\n", "                    cols[c].parent = i;\n", "                }\n", "            }\n", "            df.nrow = 0\n", "            for (let i = 0; i &lt; df.cols.length; i++) {\n", "                if (df.cols[i].values.length &gt; df.nrow) df.nrow = df.cols[i].values.length\n", "            }\n", "            if (df.id === df.rootId) {\n", "                df.expandedFrames = new Set()\n", "                df.childFrames = {}\n", "                const table = this.getTableElement(df.id)\n", "                table.df = df\n", "                for (let i = 0; i &lt; df.cols.length; i++) {\n", "                    let col = df.cols[i]\n", "                    if (col.parent === undefined &amp;&amp; col.children.length &gt; 0) col.expanded = true\n", "                }\n", "            } else {\n", "                const rootDf = this.getTableData(df.rootId)\n", "                rootDf.childFrames[df.id] = df\n", "            }\n", "        }\n", "\n", "        this.computeRenderData = function (df) {\n", "            let result = []\n", "            let pos = 0\n", "            for (let col = 0; col &lt; df.cols.length; col++) {\n", "                if (df.cols[col].parent === undefined)\n", "                    pos += this.computeRenderDataRec(df.cols, col, pos, 0, result, false, false)\n", "            }\n", "            for (let i = 0; i &lt; result.length; i++) {\n", "                let row = result[i]\n", "                for (let j = 0; j &lt; row.length; j++) {\n", "                    let cell = row[j]\n", "                    if (j === 0)\n", "                        cell.leftBd = false\n", "                    if (j &lt; row.length - 1) {\n", "                        let nextData = row[j + 1]\n", "                        if (nextData.leftBd) cell.rightBd = true\n", "                        else if (cell.rightBd) nextData.leftBd = true\n", "                    } else cell.rightBd = false\n", "                }\n", "            }\n", "            return result\n", "        }\n", "\n", "        this.computeRenderDataRec = function (cols, colId, pos, depth, result, leftBorder, rightBorder) {\n", "            if (result.length === depth) {\n", "                const array = [];\n", "                if (pos &gt; 0) {\n", "                    let j = 0\n", "                    for (let i = 0; j &lt; pos; i++) {\n", "                        let c = result[depth - 1][i]\n", "                        j += c.span\n", "                        let copy = Object.assign({empty: true}, c)\n", "                        array.push(copy)\n", "                    }\n", "                }\n", "                result.push(array)\n", "            }\n", "            const col = cols[colId];\n", "            let size = 0;\n", "            if (col.expanded) {\n", "                let childPos = pos\n", "                for (let i = 0; i &lt; col.children.length; i++) {\n", "                    let child = col.children[i]\n", "                    let childLeft = i === 0 &amp;&amp; (col.children.length &gt; 1 || leftBorder)\n", "                    let childRight = i === col.children.length - 1 &amp;&amp; (col.children.length &gt; 1 || rightBorder)\n", "                    let childSize = this.computeRenderDataRec(cols, child, childPos, depth + 1, result, childLeft, childRight)\n", "                    childPos += childSize\n", "                    size += childSize\n", "                }\n", "            } else {\n", "                for (let i = depth + 1; i &lt; result.length; i++)\n", "                    result[i].push({id: colId, span: 1, leftBd: leftBorder, rightBd: rightBorder, empty: true})\n", "                size = 1\n", "            }\n", "            let left = leftBorder\n", "            let right = rightBorder\n", "            if (size &gt; 1) {\n", "                left = true\n", "                right = true\n", "            }\n", "            result[depth].push({id: colId, span: size, leftBd: left, rightBd: right})\n", "            return size\n", "        }\n", "\n", "        this.getTableElement = function (id) {\n", "            return document.getElementById(&quot;df_&quot; + id)\n", "        }\n", "\n", "        this.getTableData = function (id) {\n", "            return this.getTableElement(id).df\n", "        }\n", "\n", "        this.createExpander = function (isExpanded) {\n", "            const svgNs = &quot;http:&sol;&sol;www.w3.org&sol;2000&sol;svg&quot;\n", "            let svg = document.createElementNS(svgNs, &quot;svg&quot;)\n", "            svg.classList.add(&quot;expanderSvg&quot;)\n", "            let path = document.createElementNS(svgNs, &quot;path&quot;)\n", "            if (isExpanded) {\n", "                svg.setAttribute(&quot;viewBox&quot;, &quot;0 -2 8 8&quot;)\n", "                path.setAttribute(&quot;d&quot;, &quot;M1 0 l-1 1 4 4 4 -4 -1 -1 -3 3Z&quot;)\n", "            } else {\n", "                svg.setAttribute(&quot;viewBox&quot;, &quot;-2 0 8 8&quot;)\n", "                path.setAttribute(&quot;d&quot;, &quot;M1 0 l-1 1 3 3 -3 3 1 1 4 -4Z&quot;)\n", "            }\n", "            path.setAttribute(&quot;fill&quot;, &quot;currentColor&quot;)\n", "            svg.appendChild(path)\n", "            return svg\n", "        }\n", "\n", "        this.renderTable = function (id) {\n", "\n", "            let table = this.getTableElement(id)\n", "\n", "            if (table === null) return\n", "\n", "            table.innerHTML = &quot;&quot;\n", "\n", "            let df = table.df\n", "            let rootDf = df.rootId === df.id ? df : this.getTableData(df.rootId)\n", "\n", "            &sol;&sol; header\n", "            let header = document.createElement(&quot;thead&quot;)\n", "            table.appendChild(header)\n", "\n", "            let renderData = this.computeRenderData(df)\n", "            for (let j = 0; j &lt; renderData.length; j++) {\n", "                let rowData = renderData[j]\n", "                let tr = document.createElement(&quot;tr&quot;);\n", "                let isLastRow = j === renderData.length - 1\n", "                header.appendChild(tr);\n", "                for (let i = 0; i &lt; rowData.length; i++) {\n", "                    let cell = rowData[i]\n", "                    let th = document.createElement(&quot;th&quot;);\n", "                    th.setAttribute(&quot;colspan&quot;, cell.span)\n", "                    let colId = cell.id\n", "                    let col = df.cols[colId];\n", "                    if (!cell.empty) {\n", "                        if (col.children.length === 0) {\n", "                            th.innerHTML = col.name\n", "                        } else {\n", "                            let link = document.createElement(&quot;a&quot;)\n", "                            link.className = &quot;expander&quot;\n", "                            let that = this\n", "                            link.onclick = function () {\n", "                                col.expanded = !col.expanded\n", "                                that.renderTable(id)\n", "                            }\n", "                            link.appendChild(this.createExpander(col.expanded))\n", "                            link.innerHTML += col.name\n", "                            th.appendChild(link)\n", "                        }\n", "                    }\n", "                    let classes = (cell.leftBd ? &quot; leftBorder&quot; : &quot;&quot;) + (cell.rightBd ? &quot; rightBorder&quot; : &quot;&quot;)\n", "                    if (col.rightAlign)\n", "                        classes += &quot; rightAlign&quot;\n", "                    if (isLastRow)\n", "                        classes += &quot; bottomBorder&quot;\n", "                    if (classes.length &gt; 0)\n", "                        th.setAttribute(&quot;class&quot;, classes)\n", "                    tr.appendChild(th)\n", "                }\n", "            }\n", "\n", "            &sol;&sol; body\n", "            let body = document.createElement(&quot;tbody&quot;)\n", "            table.appendChild(body)\n", "\n", "            let columns = renderData.pop()\n", "            for (let row = 0; row &lt; df.nrow; row++) {\n", "                let tr = document.createElement(&quot;tr&quot;);\n", "                body.appendChild(tr)\n", "                for (let i = 0; i &lt; columns.length; i++) {\n", "                    let cell = columns[i]\n", "                    let td = document.createElement(&quot;td&quot;);\n", "                    let colId = cell.id\n", "                    let col = df.cols[colId]\n", "                    let classes = (cell.leftBd ? &quot; leftBorder&quot; : &quot;&quot;) + (cell.rightBd ? &quot; rightBorder&quot; : &quot;&quot;)\n", "                    if (col.rightAlign)\n", "                        classes += &quot; rightAlign&quot;\n", "                    if (classes.length &gt; 0)\n", "                        td.setAttribute(&quot;class&quot;, classes)\n", "                    tr.appendChild(td)\n", "                    let value = col.values[row]\n", "                    if (value.frameId !== undefined) {\n", "                        let frameId = value.frameId\n", "                        let expanded = rootDf.expandedFrames.has(frameId)\n", "                        let link = document.createElement(&quot;a&quot;)\n", "                        link.className = &quot;expander&quot;\n", "                        let that = this\n", "                        link.onclick = function () {\n", "                            if (rootDf.expandedFrames.has(frameId))\n", "                                rootDf.expandedFrames.delete(frameId)\n", "                            else rootDf.expandedFrames.add(frameId)\n", "                            that.renderTable(id)\n", "                        }\n", "                        link.appendChild(this.createExpander(expanded))\n", "                        link.innerHTML += value.value\n", "                        if (expanded) {\n", "                            td.appendChild(link)\n", "                            td.appendChild(document.createElement(&quot;p&quot;))\n", "                            const childTable = document.createElement(&quot;table&quot;)\n", "                            childTable.className = &quot;dataframe&quot;\n", "                            childTable.id = &quot;df_&quot; + frameId\n", "                            let childDf = rootDf.childFrames[frameId]\n", "                            childTable.df = childDf\n", "                            td.appendChild(childTable)\n", "                            this.renderTable(frameId)\n", "                            if (childDf.nrow !== childDf.totalRows) {\n", "                                const footer = document.createElement(&quot;p&quot;)\n", "                                footer.innerText = `... showing only top ${childDf.nrow} of ${childDf.totalRows} rows`\n", "                                td.appendChild(footer)\n", "                            }\n", "                        } else {\n", "                            td.appendChild(link)\n", "                        }\n", "                    } else if (value.style !== undefined) {\n", "                        td.innerHTML = value.value\n", "                        td.setAttribute(&quot;style&quot;, value.style)\n", "                    } else td.innerHTML = value\n", "                    this.nodeScriptReplace(td)\n", "                }\n", "            }\n", "        }\n", "\n", "        this.nodeScriptReplace = function (node) {\n", "            if (this.nodeScriptIs(node) === true) {\n", "                node.parentNode.replaceChild(this.nodeScriptClone(node), node);\n", "            } else {\n", "                let i = -1, children = node.childNodes;\n", "                while (++i &lt; children.length) {\n", "                    this.nodeScriptReplace(children[i]);\n", "                }\n", "            }\n", "\n", "            return node;\n", "        }\n", "\n", "        this.nodeScriptClone = function (node) {\n", "            let script = document.createElement(&quot;script&quot;);\n", "            script.text = node.innerHTML;\n", "\n", "            let i = -1, attrs = node.attributes, attr;\n", "            while (++i &lt; attrs.length) {\n", "                script.setAttribute((attr = attrs[i]).name, attr.value);\n", "            }\n", "            return script;\n", "        }\n", "\n", "        this.nodeScriptIs = function (node) {\n", "            return node.tagName === 'SCRIPT';\n", "        }\n", "    })()\n", "\n", "    window.call_DataFrame = function (f) {\n", "        return f();\n", "    };\n", "\n", "    let funQueue = window[&quot;kotlinQueues&quot;] &amp;&amp; window[&quot;kotlinQueues&quot;][&quot;DataFrame&quot;];\n", "    if (funQueue) {\n", "        funQueue.forEach(function (f) {\n", "            f();\n", "        });\n", "        funQueue = [];\n", "    }\n", "})()\n", "\n", "&sol;*&lt;!--*&sol;\n", "call_DataFrame(function() { DataFrame.addTable({ cols: [{ name: &quot;&lt;span title=&bsol;&quot;distribution: String&bsol;&quot;&gt;distribution&lt;&sol;span&gt;&quot;, children: [], rightAlign: false, values: [&quot;All 1&amp;#39;s&quot;,&quot;All 6&amp;#39;s&quot;,&quot;Even buckets - All fail&quot;,&quot;Even buckets - All succed&quot;,&quot;Even buckets - Half succeed&quot;,&quot;Scewed towards bottom&quot;,&quot;Scewed towards top&quot;,&quot;Random (4+)&quot;,&quot;Random 1&quot;,&quot;Random 2&quot;,&quot;Random 3&quot;] }, \n", "{ name: &quot;&lt;span title=&bsol;&quot;n: Int&bsol;&quot;&gt;n&lt;&sol;span&gt;&quot;, children: [], rightAlign: true, values: [&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;120&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;120&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;120&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;120&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;120&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;120&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;120&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;120&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;120&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;120&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;120&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;] }, \n", "{ name: &quot;&lt;span title=&bsol;&quot;successes: Int&bsol;&quot;&gt;successes&lt;&sol;span&gt;&quot;, children: [], rightAlign: true, values: [&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;120&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;120&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;60&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;39&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;80&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;59&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;53&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;62&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;66&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;] }, \n", "{ name: &quot;&lt;span title=&bsol;&quot;expected: Double&bsol;&quot;&gt;expected&lt;&sol;span&gt;&quot;, children: [], rightAlign: true, values: [&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;58.333333&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;62.166667&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;120.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;60.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;60.166667&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;60.500000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;60.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;62.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;60.500000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;58.500000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;] }, \n", "{ name: &quot;&lt;span title=&bsol;&quot;variance: Double&bsol;&quot;&gt;variance&lt;&sol;span&gt;&quot;, children: [], rightAlign: true, values: [&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;23.777778&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;23.750000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;30.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;24.083333&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;23.250000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;30.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;23.444444&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;23.194444&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;22.638889&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;] }, \n", "{ name: &quot;&lt;span title=&bsol;&quot;centeredLuck: Double&bsol;&quot;&gt;centeredLuck&lt;&sol;span&gt;&quot;, children: [], rightAlign: true, values: [&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;-58.333333&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;57.833333&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;-21.166667&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;19.500000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;-1.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;-9.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;1.500000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;7.500000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;] }, \n", "{ name: &quot;&lt;span title=&bsol;&quot;zScore: Double?&bsol;&quot;&gt;zScore&lt;&sol;span&gt;&quot;, children: [], rightAlign: true, values: [&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;-11.962754&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;11.867150&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;null&bsol;&quot;&gt;null&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;null&bsol;&quot;&gt;null&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;-4.313146&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;4.044112&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;-0.182574&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;-1.858757&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.311458&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;1.576281&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;] }, \n", "{ name: &quot;&lt;span title=&bsol;&quot;tailP: Double&bsol;&quot;&gt;tailP&lt;&sol;span&gt;&quot;, children: [], rightAlign: true, values: [&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;1.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;1.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;1.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.536342&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.999996&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.000035&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.607836&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.975214&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.417738&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.070507&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;] }, \n", "{ name: &quot;&lt;span title=&bsol;&quot;surprisalLog10: Double&bsol;&quot;&gt;surprisalLog10&lt;&sol;span&gt;&quot;, children: [], rightAlign: true, values: [&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;-0.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;40.819193&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;-0.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;-0.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.270558&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.000002&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;4.456033&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.216214&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.010900&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.379096&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;1.151769&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;] }, \n", "{ name: &quot;&lt;span title=&bsol;&quot;rarityPercentage: Double?&bsol;&quot;&gt;rarityPercentage&lt;&sol;span&gt;&quot;, children: [], rightAlign: true, values: [&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;-0.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;null&bsol;&quot;&gt;null&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;null&bsol;&quot;&gt;null&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;50.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;-0.000805&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.002626&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;-42.756607&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;-3.153082&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;37.772629&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;5.748050&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;] }, \n", "], id: -1157627892, rootId: -1157627892, totalRows: 11 } ) });\n", "&sol;*--&gt;*&sol;\n", "\n", "call_DataFrame(function() { DataFrame.renderTable(-1157627892) });\n", "\n", "\n", "        &lt;&sol;script&gt;\n", "        &lt;&sol;html&gt;\"></iframe>\n", "            <script>\n", "                function o_resize_iframe_out_7() {\n", "                    let elem = document.getElementById(\"iframe_out_7\");\n", "                    resize_iframe_out_7(elem);\n", "                    setInterval(resize_iframe_out_7, 5000, elem);\n", "                }\n", "                function resize_iframe_out_7(el) {\n", "                    let h = el.contentWindow.document.body.scrollHeight;\n", "                    el.height = h === 0 ? 0 : h + 41;\n", "                }\n", "            </script>        <html theme='dark'>\n", "        <head>\n", "            <style type=\"text/css\">\n", "                :root {\n", "    --background: #fff;\n", "    --background-odd: #f5f5f5;\n", "    --background-hover: #d9edfd;\n", "    --header-text-color: #474747;\n", "    --text-color: #848484;\n", "    --text-color-dark: #000;\n", "    --text-color-medium: #737373;\n", "    --text-color-pale: #b3b3b3;\n", "    --inner-border-color: #aaa;\n", "    --bold-border-color: #000;\n", "    --link-color: #296eaa;\n", "    --link-color-pale: #296eaa;\n", "    --link-hover: #1a466c;\n", "}\n", "\n", ":root[theme=\"dark\"], :root [data-jp-theme-light=\"false\"], .dataframe_dark{\n", "    --background: #303030;\n", "    --background-odd: #3c3c3c;\n", "    --background-hover: #464646;\n", "    --header-text-color: #dddddd;\n", "    --text-color: #b3b3b3;\n", "    --text-color-dark: #dddddd;\n", "    --text-color-medium: #b2b2b2;\n", "    --text-color-pale: #737373;\n", "    --inner-border-color: #707070;\n", "    --bold-border-color: #777777;\n", "    --link-color: #008dc0;\n", "    --link-color-pale: #97e1fb;\n", "    --link-hover: #00688e;\n", "}\n", "\n", "p.dataframe_description {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe {\n", "    font-family: \"Helvetica Neue\", Helvetica, Arial, sans-serif;\n", "    font-size: 12px;\n", "    background-color: var(--background);\n", "    color: var(--text-color-dark);\n", "    border: none;\n", "    border-collapse: collapse;\n", "}\n", "\n", "table.dataframe th, td {\n", "    padding: 6px;\n", "    border: 1px solid transparent;\n", "    text-align: left;\n", "}\n", "\n", "table.dataframe th {\n", "    background-color: var(--background);\n", "    color: var(--header-text-color);\n", "}\n", "\n", "table.dataframe td {\n", "    vertical-align: top;\n", "    white-space: nowrap;\n", "}\n", "\n", "table.dataframe th.bottomBorder {\n", "    border-bottom-color: var(--bold-border-color);\n", "}\n", "\n", "table.dataframe tbody > tr:nth-child(odd) {\n", "    background: var(--background-odd);\n", "}\n", "\n", "table.dataframe tbody > tr:nth-child(even) {\n", "    background: var(--background);\n", "}\n", "\n", "table.dataframe tbody > tr:hover {\n", "    background: var(--background-hover);\n", "}\n", "\n", "table.dataframe a {\n", "    cursor: pointer;\n", "    color: var(--link-color);\n", "    text-decoration: none;\n", "}\n", "\n", "table.dataframe tr:hover > td a {\n", "    color: var(--link-color-pale);\n", "}\n", "\n", "table.dataframe a:hover {\n", "    color: var(--link-hover);\n", "    text-decoration: underline;\n", "}\n", "\n", "table.dataframe img {\n", "    max-width: fit-content;\n", "}\n", "\n", "table.dataframe th.complex {\n", "    background-color: var(--background);\n", "    border: 1px solid var(--background);\n", "}\n", "\n", "table.dataframe .leftBorder {\n", "    border-left-color: var(--inner-border-color);\n", "}\n", "\n", "table.dataframe .rightBorder {\n", "    border-right-color: var(--inner-border-color);\n", "}\n", "\n", "table.dataframe .rightAlign {\n", "    text-align: right;\n", "}\n", "\n", "table.dataframe .expanderSvg {\n", "    width: 8px;\n", "    height: 8px;\n", "    margin-right: 3px;\n", "}\n", "\n", "table.dataframe .expander {\n", "    display: flex;\n", "    align-items: center;\n", "}\n", "\n", "/* formatting */\n", "\n", "table.dataframe .null {\n", "    color: var(--text-color-pale);\n", "}\n", "\n", "table.dataframe .structural {\n", "    color: var(--text-color-medium);\n", "    font-weight: bold;\n", "}\n", "\n", "table.dataframe .dataFrameCaption {\n", "    font-weight: bold;\n", "}\n", "\n", "table.dataframe .numbers {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe td:hover .formatted .structural, .null {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe tr:hover .formatted .structural, .null {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "\n", "            </style>\n", "        </head>\n", "        <body>\n", "            <table class=\"dataframe\" id=\"static_df_-1157627891\"><thead><tr><th class=\"bottomBorder\" style=\"text-align:left\">distribution</th><th class=\"bottomBorder\" style=\"text-align:left\">n</th><th class=\"bottomBorder\" style=\"text-align:left\">successes</th><th class=\"bottomBorder\" style=\"text-align:left\">expected</th><th class=\"bottomBorder\" style=\"text-align:left\">variance</th><th class=\"bottomBorder\" style=\"text-align:left\">centeredLuck</th><th class=\"bottomBorder\" style=\"text-align:left\">zScore</th><th class=\"bottomBorder\" style=\"text-align:left\">tailP</th><th class=\"bottomBorder\" style=\"text-align:left\">surprisalLog10</th><th class=\"bottomBorder\" style=\"text-align:left\">rarityPercentage</th></tr></thead><tbody><tr><td  style=\"vertical-align:top\">All 1&#39;s</td><td  style=\"vertical-align:top\">120</td><td  style=\"vertical-align:top\">0</td><td  style=\"vertical-align:top\">58.333333</td><td  style=\"vertical-align:top\">23.777778</td><td  style=\"vertical-align:top\">-58.333333</td><td  style=\"vertical-align:top\">-11.962754</td><td  style=\"vertical-align:top\">1.000000</td><td  style=\"vertical-align:top\">-0.000000</td><td  style=\"vertical-align:top\">-0.000000</td></tr><tr><td  style=\"vertical-align:top\">All 6&#39;s</td><td  style=\"vertical-align:top\">120</td><td  style=\"vertical-align:top\">120</td><td  style=\"vertical-align:top\">62.166667</td><td  style=\"vertical-align:top\">23.750000</td><td  style=\"vertical-align:top\">57.833333</td><td  style=\"vertical-align:top\">11.867150</td><td  style=\"vertical-align:top\">0.000000</td><td  style=\"vertical-align:top\">40.819193</td><td  style=\"vertical-align:top\">0.000000</td></tr><tr><td  style=\"vertical-align:top\">Even buckets - All fail</td><td  style=\"vertical-align:top\">120</td><td  style=\"vertical-align:top\">0</td><td  style=\"vertical-align:top\">0.000000</td><td  style=\"vertical-align:top\">0.000000</td><td  style=\"vertical-align:top\">0.000000</td><td  style=\"vertical-align:top\">null</td><td  style=\"vertical-align:top\">1.000000</td><td  style=\"vertical-align:top\">-0.000000</td><td  style=\"vertical-align:top\">null</td></tr><tr><td  style=\"vertical-align:top\">Even buckets - All succed</td><td  style=\"vertical-align:top\">120</td><td  style=\"vertical-align:top\">120</td><td  style=\"vertical-align:top\">120.000000</td><td  style=\"vertical-align:top\">0.000000</td><td  style=\"vertical-align:top\">0.000000</td><td  style=\"vertical-align:top\">null</td><td  style=\"vertical-align:top\">1.000000</td><td  style=\"vertical-align:top\">-0.000000</td><td  style=\"vertical-align:top\">null</td></tr><tr><td  style=\"vertical-align:top\">Even buckets - Half succeed</td><td  style=\"vertical-align:top\">120</td><td  style=\"vertical-align:top\">60</td><td  style=\"vertical-align:top\">60.000000</td><td  style=\"vertical-align:top\">30.000000</td><td  style=\"vertical-align:top\">0.000000</td><td  style=\"vertical-align:top\">0.000000</td><td  style=\"vertical-align:top\">0.536342</td><td  style=\"vertical-align:top\">0.270558</td><td  style=\"vertical-align:top\">50.000000</td></tr><tr><td  style=\"vertical-align:top\">Scewed towards bottom</td><td  style=\"vertical-align:top\">120</td><td  style=\"vertical-align:top\">39</td><td  style=\"vertical-align:top\">60.166667</td><td  style=\"vertical-align:top\">24.083333</td><td  style=\"vertical-align:top\">-21.166667</td><td  style=\"vertical-align:top\">-4.313146</td><td  style=\"vertical-align:top\">0.999996</td><td  style=\"vertical-align:top\">0.000002</td><td  style=\"vertical-align:top\">-0.000805</td></tr><tr><td  style=\"vertical-align:top\">Scewed towards top</td><td  style=\"vertical-align:top\">120</td><td  style=\"vertical-align:top\">80</td><td  style=\"vertical-align:top\">60.500000</td><td  style=\"vertical-align:top\">23.250000</td><td  style=\"vertical-align:top\">19.500000</td><td  style=\"vertical-align:top\">4.044112</td><td  style=\"vertical-align:top\">0.000035</td><td  style=\"vertical-align:top\">4.456033</td><td  style=\"vertical-align:top\">0.002626</td></tr><tr><td  style=\"vertical-align:top\">Random (4+)</td><td  style=\"vertical-align:top\">120</td><td  style=\"vertical-align:top\">59</td><td  style=\"vertical-align:top\">60.000000</td><td  style=\"vertical-align:top\">30.000000</td><td  style=\"vertical-align:top\">-1.000000</td><td  style=\"vertical-align:top\">-0.182574</td><td  style=\"vertical-align:top\">0.607836</td><td  style=\"vertical-align:top\">0.216214</td><td  style=\"vertical-align:top\">-42.756607</td></tr><tr><td  style=\"vertical-align:top\">Random 1</td><td  style=\"vertical-align:top\">120</td><td  style=\"vertical-align:top\">53</td><td  style=\"vertical-align:top\">62.000000</td><td  style=\"vertical-align:top\">23.444444</td><td  style=\"vertical-align:top\">-9.000000</td><td  style=\"vertical-align:top\">-1.858757</td><td  style=\"vertical-align:top\">0.975214</td><td  style=\"vertical-align:top\">0.010900</td><td  style=\"vertical-align:top\">-3.153082</td></tr><tr><td  style=\"vertical-align:top\">Random 2</td><td  style=\"vertical-align:top\">120</td><td  style=\"vertical-align:top\">62</td><td  style=\"vertical-align:top\">60.500000</td><td  style=\"vertical-align:top\">23.194444</td><td  style=\"vertical-align:top\">1.500000</td><td  style=\"vertical-align:top\">0.311458</td><td  style=\"vertical-align:top\">0.417738</td><td  style=\"vertical-align:top\">0.379096</td><td  style=\"vertical-align:top\">37.772629</td></tr><tr><td  style=\"vertical-align:top\">Random 3</td><td  style=\"vertical-align:top\">120</td><td  style=\"vertical-align:top\">66</td><td  style=\"vertical-align:top\">58.500000</td><td  style=\"vertical-align:top\">22.638889</td><td  style=\"vertical-align:top\">7.500000</td><td  style=\"vertical-align:top\">1.576281</td><td  style=\"vertical-align:top\">0.070507</td><td  style=\"vertical-align:top\">1.151769</td><td  style=\"vertical-align:top\">5.748050</td></tr></tbody></table>\n", "        </body>\n", "        <script>\n", "            document.getElementById(\"static_df_-1157627891\").style.display = \"none\";\n", "        </script>\n", "        </html>" ],
        "application/kotlindataframe+json" : "{\"$version\":\"2.1.1\",\"metadata\":{\"columns\":[\"distribution\",\"n\",\"successes\",\"expected\",\"variance\",\"centeredLuck\",\"zScore\",\"tailP\",\"surprisalLog10\",\"rarityPercentage\"],\"types\":[{\"kind\":\"ValueColumn\",\"type\":\"kotlin.String\"},{\"kind\":\"ValueColumn\",\"type\":\"kotlin.Int\"},{\"kind\":\"ValueColumn\",\"type\":\"kotlin.Int\"},{\"kind\":\"ValueColumn\",\"type\":\"kotlin.Double\"},{\"kind\":\"ValueColumn\",\"type\":\"kotlin.Double\"},{\"kind\":\"ValueColumn\",\"type\":\"kotlin.Double\"},{\"kind\":\"ValueColumn\",\"type\":\"kotlin.Double?\"},{\"kind\":\"ValueColumn\",\"type\":\"kotlin.Double\"},{\"kind\":\"ValueColumn\",\"type\":\"kotlin.Double\"},{\"kind\":\"ValueColumn\",\"type\":\"kotlin.Double?\"}],\"nrow\":11,\"ncol\":10},\"kotlin_dataframe\":[{\"distribution\":\"All 1's\",\"n\":120,\"successes\":0,\"expected\":58.33333333333334,\"variance\":23.77777777777776,\"centeredLuck\":-58.33333333333334,\"zScore\":-11.962753722931613,\"tailP\":1.0,\"surprisalLog10\":-0.0,\"rarityPercentage\":-0.0},{\"distribution\":\"All 6's\",\"n\":120,\"successes\":120,\"expected\":62.16666666666669,\"variance\":23.749999999999986,\"centeredLuck\":57.83333333333331,\"zScore\":11.867149605784947,\"tailP\":1.5163777549713305E-41,\"surprisalLog10\":40.81919259523219,\"rarityPercentage\":0.0},{\"distribution\":\"Even buckets - All fail\",\"n\":120,\"successes\":0,\"expected\":0.0,\"variance\":0.0,\"centeredLuck\":0.0,\"zScore\":null,\"tailP\":1.0,\"surprisalLog10\":-0.0,\"rarityPercentage\":null},{\"distribution\":\"Even buckets - All succed\",\"n\":120,\"successes\":120,\"expected\":120.0,\"variance\":0.0,\"centeredLuck\":0.0,\"zScore\":null,\"tailP\":1.0,\"surprisalLog10\":-0.0,\"rarityPercentage\":null},{\"distribution\":\"Even buckets - Half succeed\",\"n\":120,\"successes\":60,\"expected\":60.0,\"variance\":30.0,\"centeredLuck\":0.0,\"zScore\":0.0,\"tailP\":0.5363424894550584,\"surprisalLog10\":0.2705577965388452,\"rarityPercentage\":50.0},{\"distribution\":\"Scewed towards bottom\",\"n\":120,\"successes\":39,\"expected\":60.16666666666667,\"variance\":24.083333333333318,\"centeredLuck\":-21.16666666666667,\"zScore\":-4.313146128651913,\"tailP\":0.9999958229067214,\"surprisalLog10\":1.8140923501107664E-6,\"rarityPercentage\":-8.047383087683713E-4},{\"distribution\":\"Scewed towards top\",\"n\":120,\"successes\":80,\"expected\":60.5,\"variance\":23.249999999999996,\"centeredLuck\":19.5,\"zScore\":4.044111609448659,\"tailP\":3.4991842627240265E-5,\"surprisalLog10\":4.456033187503593,\"rarityPercentage\":0.0026260948221668023},{\"distribution\":\"Random (4+)\",\"n\":120,\"successes\":59,\"expected\":60.0,\"variance\":30.0,\"centeredLuck\":-1.0,\"zScore\":-0.18257418583505536,\"tailP\":0.6078359113338617,\"surprisalLog10\":0.2162136451027175,\"rarityPercentage\":-42.7566070292353},{\"distribution\":\"Random 1\",\"n\":120,\"successes\":53,\"expected\":62.000000000000014,\"variance\":23.444444444444436,\"centeredLuck\":-9.000000000000014,\"zScore\":-1.8587566552180916,\"tailP\":0.9752140209765248,\"surprisalLog10\":0.010900063348491217,\"rarityPercentage\":-3.153081943852709},{\"distribution\":\"Random 2\",\"n\":120,\"successes\":62,\"expected\":60.50000000000002,\"variance\":23.19444444444444,\"centeredLuck\":1.4999999999999787,\"zScore\":0.31145784309268787,\"tailP\":0.41773762641060946,\"surprisalLog10\":0.3790964052554684,\"rarityPercentage\":37.772629324558004},{\"distribution\":\"Random 3\",\"n\":120,\"successes\":66,\"expected\":58.50000000000001,\"variance\":22.63888888888888,\"centeredLuck\":7.499999999999993,\"zScore\":1.5762812492341312,\"tailP\":0.07050673954225631,\"surprisalLog10\":1.151769368028194,\"rarityPercentage\":5.7480500483650605}]}"
      },
      "execution_count" : 8,
      "metadata" : { },
      "output_type" : "execute_result"
    } ],
    "execution_count" : 8
  }, {
    "metadata" : {
      "ExecuteTime" : {
        "end_time" : "2025-08-21T14:34:07.549376Z",
        "start_time" : "2025-08-21T14:34:07.316759Z"
      }
    },
    "cell_type" : "code",
    "source" : [ "/**\n", " * Instead of using the Z-Score, we instead describe the \"likely outcome\" in the given distribution, mapped\n", " * to [-100 - 100] range.\n", " *\n", " * Formally:\n", " * LuckSym is a linear rescale of the mid-rank CDF of the Poisson–binomial distribution of successes.\n", " * With -100 being maximally unlucky, 0 being average and +100 being maximally lucky.\n", " *\n", " * The interpretation is:\n", " * - 0: The average outcome\n", " * - +100: All rolls succeed\n", " * - -100: All rolls fail\n", " * - +20:\n", " *   - 60% of games are ≤ this lucky (so unluckier or equal).\n", " *   - 40% of games are luckier.\n", " * - -60:\n", " *   - 20% of games are ≤ this lucky (so unluckier or equal).\n", " *   - 80% of games are luckier.\n", " */\n", "\n", "// -------- Exact LuckSym from per-roll p_i and observed successes S --------\n", "fun pbPmf(ps: List<Double>): DoubleArray {\n", "    val n = ps.size\n", "    var dp = DoubleArray(n + 1) { 0.0 }\n", "    dp[0] = 1.0\n", "    for (p in ps) {\n", "        val next = DoubleArray(n + 1)\n", "        for (k in 0..n) {\n", "            val v = dp[k]; if (v == 0.0) continue\n", "            next[k] += v * (1 - p)\n", "            if (k + 1 <= n) next[k + 1] += v * p\n", "        }\n", "        dp = next\n", "    }\n", "    return dp\n", "}\n", "\n", "fun midCdf(pmf: DoubleArray, s: Int): Double {\n", "    val ss = s.coerceIn(0, pmf.lastIndex)\n", "    var lt = 0.0\n", "    for (k in 0 until ss) lt += pmf[k]\n", "    return lt + 0.5 * pmf[ss]\n", "}\n", "\n", "// ps: Probability array of \"success\" for each roll\n", "fun luckSymExact(ps: List<Double>, successes: Int): Double {\n", "    // Check for all fail/succeed case, since this will reported wrong otherwise\n", "    val variance = ps.sumOf { it * (1 - it) }\n", "    if (variance == 0.0) {\n", "        return when (successes > 0) {\n", "            true -> 100.0\n", "            false -> -100.0\n", "        }\n", "    }\n", "    val pmf = pbPmf(ps)\n", "    val mid = midCdf(pmf, successes)        // in [0,1]\n", "    return (2.0 * mid - 1.0) * 100.0        // in [-100,+100]\n", "}\n", "\n", "val luckSym = distributions.map {\n", "    val title = it.first\n", "    val rolls = it.second\n", "    val ps = rolls.map { it.successPropability() }\n", "    val successes  = rolls.count { it.isSuccess() }\n", "    val luckSym = luckSymExact(ps, successes)\n", "    title to luckSym\n", "}.toDataFrame().rename(\"first\" to \"distribution\", \"second\" to \"luckSym\")\n", "luckSym" ],
    "id" : "f872d2e60efaa2fd",
    "outputs" : [ {
      "data" : {
        "text/html" : [ "            <iframe onload=\"o_resize_iframe_out_8()\" style=\"width:100%;\" class=\"result_container\" id=\"iframe_out_8\" frameBorder=\"0\" srcdoc=\"        &lt;html theme='dark'&gt;\n", "        &lt;head&gt;\n", "            &lt;style type=&quot;text&sol;css&quot;&gt;\n", "                :root {\n", "    --background: #fff;\n", "    --background-odd: #f5f5f5;\n", "    --background-hover: #d9edfd;\n", "    --header-text-color: #474747;\n", "    --text-color: #848484;\n", "    --text-color-dark: #000;\n", "    --text-color-medium: #737373;\n", "    --text-color-pale: #b3b3b3;\n", "    --inner-border-color: #aaa;\n", "    --bold-border-color: #000;\n", "    --link-color: #296eaa;\n", "    --link-color-pale: #296eaa;\n", "    --link-hover: #1a466c;\n", "}\n", "\n", ":root[theme=&quot;dark&quot;], :root [data-jp-theme-light=&quot;false&quot;], .dataframe_dark{\n", "    --background: #303030;\n", "    --background-odd: #3c3c3c;\n", "    --background-hover: #464646;\n", "    --header-text-color: #dddddd;\n", "    --text-color: #b3b3b3;\n", "    --text-color-dark: #dddddd;\n", "    --text-color-medium: #b2b2b2;\n", "    --text-color-pale: #737373;\n", "    --inner-border-color: #707070;\n", "    --bold-border-color: #777777;\n", "    --link-color: #008dc0;\n", "    --link-color-pale: #97e1fb;\n", "    --link-hover: #00688e;\n", "}\n", "\n", "p.dataframe_description {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe {\n", "    font-family: &quot;Helvetica Neue&quot;, Helvetica, Arial, sans-serif;\n", "    font-size: 12px;\n", "    background-color: var(--background);\n", "    color: var(--text-color-dark);\n", "    border: none;\n", "    border-collapse: collapse;\n", "}\n", "\n", "table.dataframe th, td {\n", "    padding: 6px;\n", "    border: 1px solid transparent;\n", "    text-align: left;\n", "}\n", "\n", "table.dataframe th {\n", "    background-color: var(--background);\n", "    color: var(--header-text-color);\n", "}\n", "\n", "table.dataframe td {\n", "    vertical-align: top;\n", "    white-space: nowrap;\n", "}\n", "\n", "table.dataframe th.bottomBorder {\n", "    border-bottom-color: var(--bold-border-color);\n", "}\n", "\n", "table.dataframe tbody &gt; tr:nth-child(odd) {\n", "    background: var(--background-odd);\n", "}\n", "\n", "table.dataframe tbody &gt; tr:nth-child(even) {\n", "    background: var(--background);\n", "}\n", "\n", "table.dataframe tbody &gt; tr:hover {\n", "    background: var(--background-hover);\n", "}\n", "\n", "table.dataframe a {\n", "    cursor: pointer;\n", "    color: var(--link-color);\n", "    text-decoration: none;\n", "}\n", "\n", "table.dataframe tr:hover &gt; td a {\n", "    color: var(--link-color-pale);\n", "}\n", "\n", "table.dataframe a:hover {\n", "    color: var(--link-hover);\n", "    text-decoration: underline;\n", "}\n", "\n", "table.dataframe img {\n", "    max-width: fit-content;\n", "}\n", "\n", "table.dataframe th.complex {\n", "    background-color: var(--background);\n", "    border: 1px solid var(--background);\n", "}\n", "\n", "table.dataframe .leftBorder {\n", "    border-left-color: var(--inner-border-color);\n", "}\n", "\n", "table.dataframe .rightBorder {\n", "    border-right-color: var(--inner-border-color);\n", "}\n", "\n", "table.dataframe .rightAlign {\n", "    text-align: right;\n", "}\n", "\n", "table.dataframe .expanderSvg {\n", "    width: 8px;\n", "    height: 8px;\n", "    margin-right: 3px;\n", "}\n", "\n", "table.dataframe .expander {\n", "    display: flex;\n", "    align-items: center;\n", "}\n", "\n", "&sol;* formatting *&sol;\n", "\n", "table.dataframe .null {\n", "    color: var(--text-color-pale);\n", "}\n", "\n", "table.dataframe .structural {\n", "    color: var(--text-color-medium);\n", "    font-weight: bold;\n", "}\n", "\n", "table.dataframe .dataFrameCaption {\n", "    font-weight: bold;\n", "}\n", "\n", "table.dataframe .numbers {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe td:hover .formatted .structural, .null {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe tr:hover .formatted .structural, .null {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "\n", ":root {\n", "    --scroll-bg: #f5f5f5;\n", "    --scroll-fg: #b3b3b3;\n", "}\n", ":root[theme=&quot;dark&quot;], :root [data-jp-theme-light=&quot;false&quot;]{\n", "    --scroll-bg: #3c3c3c;\n", "    --scroll-fg: #97e1fb;\n", "}\n", "body {\n", "    scrollbar-color: var(--scroll-fg) var(--scroll-bg);\n", "}\n", "body::-webkit-scrollbar {\n", "    width: 10px; &sol;* Mostly for vertical scrollbars *&sol;\n", "    height: 10px; &sol;* Mostly for horizontal scrollbars *&sol;\n", "}\n", "body::-webkit-scrollbar-thumb {\n", "    background-color: var(--scroll-fg);\n", "}\n", "body::-webkit-scrollbar-track {\n", "    background-color: var(--scroll-bg);\n", "}\n", "            &lt;&sol;style&gt;\n", "        &lt;&sol;head&gt;\n", "        &lt;body&gt;\n", "            &lt;table class=&quot;dataframe&quot; id=&quot;df_-1157627890&quot;&gt;&lt;&sol;table&gt;\n", "\n", "&lt;p class=&quot;dataframe_description&quot;&gt;DataFrame: rowsCount = 11, columnsCount = 2&lt;&sol;p&gt;\n", "\n", "        &lt;&sol;body&gt;\n", "        &lt;script&gt;\n", "            (function () {\n", "    window.DataFrame = window.DataFrame || new (function () {\n", "        this.addTable = function (df) {\n", "            let cols = df.cols;\n", "            for (let i = 0; i &lt; cols.length; i++) {\n", "                for (let c of cols[i].children) {\n", "                    cols[c].parent = i;\n", "                }\n", "            }\n", "            df.nrow = 0\n", "            for (let i = 0; i &lt; df.cols.length; i++) {\n", "                if (df.cols[i].values.length &gt; df.nrow) df.nrow = df.cols[i].values.length\n", "            }\n", "            if (df.id === df.rootId) {\n", "                df.expandedFrames = new Set()\n", "                df.childFrames = {}\n", "                const table = this.getTableElement(df.id)\n", "                table.df = df\n", "                for (let i = 0; i &lt; df.cols.length; i++) {\n", "                    let col = df.cols[i]\n", "                    if (col.parent === undefined &amp;&amp; col.children.length &gt; 0) col.expanded = true\n", "                }\n", "            } else {\n", "                const rootDf = this.getTableData(df.rootId)\n", "                rootDf.childFrames[df.id] = df\n", "            }\n", "        }\n", "\n", "        this.computeRenderData = function (df) {\n", "            let result = []\n", "            let pos = 0\n", "            for (let col = 0; col &lt; df.cols.length; col++) {\n", "                if (df.cols[col].parent === undefined)\n", "                    pos += this.computeRenderDataRec(df.cols, col, pos, 0, result, false, false)\n", "            }\n", "            for (let i = 0; i &lt; result.length; i++) {\n", "                let row = result[i]\n", "                for (let j = 0; j &lt; row.length; j++) {\n", "                    let cell = row[j]\n", "                    if (j === 0)\n", "                        cell.leftBd = false\n", "                    if (j &lt; row.length - 1) {\n", "                        let nextData = row[j + 1]\n", "                        if (nextData.leftBd) cell.rightBd = true\n", "                        else if (cell.rightBd) nextData.leftBd = true\n", "                    } else cell.rightBd = false\n", "                }\n", "            }\n", "            return result\n", "        }\n", "\n", "        this.computeRenderDataRec = function (cols, colId, pos, depth, result, leftBorder, rightBorder) {\n", "            if (result.length === depth) {\n", "                const array = [];\n", "                if (pos &gt; 0) {\n", "                    let j = 0\n", "                    for (let i = 0; j &lt; pos; i++) {\n", "                        let c = result[depth - 1][i]\n", "                        j += c.span\n", "                        let copy = Object.assign({empty: true}, c)\n", "                        array.push(copy)\n", "                    }\n", "                }\n", "                result.push(array)\n", "            }\n", "            const col = cols[colId];\n", "            let size = 0;\n", "            if (col.expanded) {\n", "                let childPos = pos\n", "                for (let i = 0; i &lt; col.children.length; i++) {\n", "                    let child = col.children[i]\n", "                    let childLeft = i === 0 &amp;&amp; (col.children.length &gt; 1 || leftBorder)\n", "                    let childRight = i === col.children.length - 1 &amp;&amp; (col.children.length &gt; 1 || rightBorder)\n", "                    let childSize = this.computeRenderDataRec(cols, child, childPos, depth + 1, result, childLeft, childRight)\n", "                    childPos += childSize\n", "                    size += childSize\n", "                }\n", "            } else {\n", "                for (let i = depth + 1; i &lt; result.length; i++)\n", "                    result[i].push({id: colId, span: 1, leftBd: leftBorder, rightBd: rightBorder, empty: true})\n", "                size = 1\n", "            }\n", "            let left = leftBorder\n", "            let right = rightBorder\n", "            if (size &gt; 1) {\n", "                left = true\n", "                right = true\n", "            }\n", "            result[depth].push({id: colId, span: size, leftBd: left, rightBd: right})\n", "            return size\n", "        }\n", "\n", "        this.getTableElement = function (id) {\n", "            return document.getElementById(&quot;df_&quot; + id)\n", "        }\n", "\n", "        this.getTableData = function (id) {\n", "            return this.getTableElement(id).df\n", "        }\n", "\n", "        this.createExpander = function (isExpanded) {\n", "            const svgNs = &quot;http:&sol;&sol;www.w3.org&sol;2000&sol;svg&quot;\n", "            let svg = document.createElementNS(svgNs, &quot;svg&quot;)\n", "            svg.classList.add(&quot;expanderSvg&quot;)\n", "            let path = document.createElementNS(svgNs, &quot;path&quot;)\n", "            if (isExpanded) {\n", "                svg.setAttribute(&quot;viewBox&quot;, &quot;0 -2 8 8&quot;)\n", "                path.setAttribute(&quot;d&quot;, &quot;M1 0 l-1 1 4 4 4 -4 -1 -1 -3 3Z&quot;)\n", "            } else {\n", "                svg.setAttribute(&quot;viewBox&quot;, &quot;-2 0 8 8&quot;)\n", "                path.setAttribute(&quot;d&quot;, &quot;M1 0 l-1 1 3 3 -3 3 1 1 4 -4Z&quot;)\n", "            }\n", "            path.setAttribute(&quot;fill&quot;, &quot;currentColor&quot;)\n", "            svg.appendChild(path)\n", "            return svg\n", "        }\n", "\n", "        this.renderTable = function (id) {\n", "\n", "            let table = this.getTableElement(id)\n", "\n", "            if (table === null) return\n", "\n", "            table.innerHTML = &quot;&quot;\n", "\n", "            let df = table.df\n", "            let rootDf = df.rootId === df.id ? df : this.getTableData(df.rootId)\n", "\n", "            &sol;&sol; header\n", "            let header = document.createElement(&quot;thead&quot;)\n", "            table.appendChild(header)\n", "\n", "            let renderData = this.computeRenderData(df)\n", "            for (let j = 0; j &lt; renderData.length; j++) {\n", "                let rowData = renderData[j]\n", "                let tr = document.createElement(&quot;tr&quot;);\n", "                let isLastRow = j === renderData.length - 1\n", "                header.appendChild(tr);\n", "                for (let i = 0; i &lt; rowData.length; i++) {\n", "                    let cell = rowData[i]\n", "                    let th = document.createElement(&quot;th&quot;);\n", "                    th.setAttribute(&quot;colspan&quot;, cell.span)\n", "                    let colId = cell.id\n", "                    let col = df.cols[colId];\n", "                    if (!cell.empty) {\n", "                        if (col.children.length === 0) {\n", "                            th.innerHTML = col.name\n", "                        } else {\n", "                            let link = document.createElement(&quot;a&quot;)\n", "                            link.className = &quot;expander&quot;\n", "                            let that = this\n", "                            link.onclick = function () {\n", "                                col.expanded = !col.expanded\n", "                                that.renderTable(id)\n", "                            }\n", "                            link.appendChild(this.createExpander(col.expanded))\n", "                            link.innerHTML += col.name\n", "                            th.appendChild(link)\n", "                        }\n", "                    }\n", "                    let classes = (cell.leftBd ? &quot; leftBorder&quot; : &quot;&quot;) + (cell.rightBd ? &quot; rightBorder&quot; : &quot;&quot;)\n", "                    if (col.rightAlign)\n", "                        classes += &quot; rightAlign&quot;\n", "                    if (isLastRow)\n", "                        classes += &quot; bottomBorder&quot;\n", "                    if (classes.length &gt; 0)\n", "                        th.setAttribute(&quot;class&quot;, classes)\n", "                    tr.appendChild(th)\n", "                }\n", "            }\n", "\n", "            &sol;&sol; body\n", "            let body = document.createElement(&quot;tbody&quot;)\n", "            table.appendChild(body)\n", "\n", "            let columns = renderData.pop()\n", "            for (let row = 0; row &lt; df.nrow; row++) {\n", "                let tr = document.createElement(&quot;tr&quot;);\n", "                body.appendChild(tr)\n", "                for (let i = 0; i &lt; columns.length; i++) {\n", "                    let cell = columns[i]\n", "                    let td = document.createElement(&quot;td&quot;);\n", "                    let colId = cell.id\n", "                    let col = df.cols[colId]\n", "                    let classes = (cell.leftBd ? &quot; leftBorder&quot; : &quot;&quot;) + (cell.rightBd ? &quot; rightBorder&quot; : &quot;&quot;)\n", "                    if (col.rightAlign)\n", "                        classes += &quot; rightAlign&quot;\n", "                    if (classes.length &gt; 0)\n", "                        td.setAttribute(&quot;class&quot;, classes)\n", "                    tr.appendChild(td)\n", "                    let value = col.values[row]\n", "                    if (value.frameId !== undefined) {\n", "                        let frameId = value.frameId\n", "                        let expanded = rootDf.expandedFrames.has(frameId)\n", "                        let link = document.createElement(&quot;a&quot;)\n", "                        link.className = &quot;expander&quot;\n", "                        let that = this\n", "                        link.onclick = function () {\n", "                            if (rootDf.expandedFrames.has(frameId))\n", "                                rootDf.expandedFrames.delete(frameId)\n", "                            else rootDf.expandedFrames.add(frameId)\n", "                            that.renderTable(id)\n", "                        }\n", "                        link.appendChild(this.createExpander(expanded))\n", "                        link.innerHTML += value.value\n", "                        if (expanded) {\n", "                            td.appendChild(link)\n", "                            td.appendChild(document.createElement(&quot;p&quot;))\n", "                            const childTable = document.createElement(&quot;table&quot;)\n", "                            childTable.className = &quot;dataframe&quot;\n", "                            childTable.id = &quot;df_&quot; + frameId\n", "                            let childDf = rootDf.childFrames[frameId]\n", "                            childTable.df = childDf\n", "                            td.appendChild(childTable)\n", "                            this.renderTable(frameId)\n", "                            if (childDf.nrow !== childDf.totalRows) {\n", "                                const footer = document.createElement(&quot;p&quot;)\n", "                                footer.innerText = `... showing only top ${childDf.nrow} of ${childDf.totalRows} rows`\n", "                                td.appendChild(footer)\n", "                            }\n", "                        } else {\n", "                            td.appendChild(link)\n", "                        }\n", "                    } else if (value.style !== undefined) {\n", "                        td.innerHTML = value.value\n", "                        td.setAttribute(&quot;style&quot;, value.style)\n", "                    } else td.innerHTML = value\n", "                    this.nodeScriptReplace(td)\n", "                }\n", "            }\n", "        }\n", "\n", "        this.nodeScriptReplace = function (node) {\n", "            if (this.nodeScriptIs(node) === true) {\n", "                node.parentNode.replaceChild(this.nodeScriptClone(node), node);\n", "            } else {\n", "                let i = -1, children = node.childNodes;\n", "                while (++i &lt; children.length) {\n", "                    this.nodeScriptReplace(children[i]);\n", "                }\n", "            }\n", "\n", "            return node;\n", "        }\n", "\n", "        this.nodeScriptClone = function (node) {\n", "            let script = document.createElement(&quot;script&quot;);\n", "            script.text = node.innerHTML;\n", "\n", "            let i = -1, attrs = node.attributes, attr;\n", "            while (++i &lt; attrs.length) {\n", "                script.setAttribute((attr = attrs[i]).name, attr.value);\n", "            }\n", "            return script;\n", "        }\n", "\n", "        this.nodeScriptIs = function (node) {\n", "            return node.tagName === 'SCRIPT';\n", "        }\n", "    })()\n", "\n", "    window.call_DataFrame = function (f) {\n", "        return f();\n", "    };\n", "\n", "    let funQueue = window[&quot;kotlinQueues&quot;] &amp;&amp; window[&quot;kotlinQueues&quot;][&quot;DataFrame&quot;];\n", "    if (funQueue) {\n", "        funQueue.forEach(function (f) {\n", "            f();\n", "        });\n", "        funQueue = [];\n", "    }\n", "})()\n", "\n", "&sol;*&lt;!--*&sol;\n", "call_DataFrame(function() { DataFrame.addTable({ cols: [{ name: &quot;&lt;span title=&bsol;&quot;distribution: Any&bsol;&quot;&gt;distribution&lt;&sol;span&gt;&quot;, children: [], rightAlign: false, values: [&quot;All 1&amp;#39;s&quot;,&quot;All 6&amp;#39;s&quot;,&quot;Even buckets - All fail&quot;,&quot;Even buckets - All succed&quot;,&quot;Even buckets - Half succeed&quot;,&quot;Scewed towards bottom&quot;,&quot;Scewed towards top&quot;,&quot;Random (4+)&quot;,&quot;Random 1&quot;,&quot;Random 2&quot;,&quot;Random 3&quot;] }, \n", "{ name: &quot;&lt;span title=&bsol;&quot;luckSym: Any&bsol;&quot;&gt;luckSym&lt;&sol;span&gt;&quot;, children: [], rightAlign: false, values: [&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;-100.0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;100.0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;-100.0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;100.0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;-100.0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;100.0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;-14.4&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;-93.6&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;24.3&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;88.3&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;] }, \n", "], id: -1157627890, rootId: -1157627890, totalRows: 11 } ) });\n", "&sol;*--&gt;*&sol;\n", "\n", "call_DataFrame(function() { DataFrame.renderTable(-1157627890) });\n", "\n", "\n", "        &lt;&sol;script&gt;\n", "        &lt;&sol;html&gt;\"></iframe>\n", "            <script>\n", "                function o_resize_iframe_out_8() {\n", "                    let elem = document.getElementById(\"iframe_out_8\");\n", "                    resize_iframe_out_8(elem);\n", "                    setInterval(resize_iframe_out_8, 5000, elem);\n", "                }\n", "                function resize_iframe_out_8(el) {\n", "                    let h = el.contentWindow.document.body.scrollHeight;\n", "                    el.height = h === 0 ? 0 : h + 41;\n", "                }\n", "            </script>        <html theme='dark'>\n", "        <head>\n", "            <style type=\"text/css\">\n", "                :root {\n", "    --background: #fff;\n", "    --background-odd: #f5f5f5;\n", "    --background-hover: #d9edfd;\n", "    --header-text-color: #474747;\n", "    --text-color: #848484;\n", "    --text-color-dark: #000;\n", "    --text-color-medium: #737373;\n", "    --text-color-pale: #b3b3b3;\n", "    --inner-border-color: #aaa;\n", "    --bold-border-color: #000;\n", "    --link-color: #296eaa;\n", "    --link-color-pale: #296eaa;\n", "    --link-hover: #1a466c;\n", "}\n", "\n", ":root[theme=\"dark\"], :root [data-jp-theme-light=\"false\"], .dataframe_dark{\n", "    --background: #303030;\n", "    --background-odd: #3c3c3c;\n", "    --background-hover: #464646;\n", "    --header-text-color: #dddddd;\n", "    --text-color: #b3b3b3;\n", "    --text-color-dark: #dddddd;\n", "    --text-color-medium: #b2b2b2;\n", "    --text-color-pale: #737373;\n", "    --inner-border-color: #707070;\n", "    --bold-border-color: #777777;\n", "    --link-color: #008dc0;\n", "    --link-color-pale: #97e1fb;\n", "    --link-hover: #00688e;\n", "}\n", "\n", "p.dataframe_description {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe {\n", "    font-family: \"Helvetica Neue\", Helvetica, Arial, sans-serif;\n", "    font-size: 12px;\n", "    background-color: var(--background);\n", "    color: var(--text-color-dark);\n", "    border: none;\n", "    border-collapse: collapse;\n", "}\n", "\n", "table.dataframe th, td {\n", "    padding: 6px;\n", "    border: 1px solid transparent;\n", "    text-align: left;\n", "}\n", "\n", "table.dataframe th {\n", "    background-color: var(--background);\n", "    color: var(--header-text-color);\n", "}\n", "\n", "table.dataframe td {\n", "    vertical-align: top;\n", "    white-space: nowrap;\n", "}\n", "\n", "table.dataframe th.bottomBorder {\n", "    border-bottom-color: var(--bold-border-color);\n", "}\n", "\n", "table.dataframe tbody > tr:nth-child(odd) {\n", "    background: var(--background-odd);\n", "}\n", "\n", "table.dataframe tbody > tr:nth-child(even) {\n", "    background: var(--background);\n", "}\n", "\n", "table.dataframe tbody > tr:hover {\n", "    background: var(--background-hover);\n", "}\n", "\n", "table.dataframe a {\n", "    cursor: pointer;\n", "    color: var(--link-color);\n", "    text-decoration: none;\n", "}\n", "\n", "table.dataframe tr:hover > td a {\n", "    color: var(--link-color-pale);\n", "}\n", "\n", "table.dataframe a:hover {\n", "    color: var(--link-hover);\n", "    text-decoration: underline;\n", "}\n", "\n", "table.dataframe img {\n", "    max-width: fit-content;\n", "}\n", "\n", "table.dataframe th.complex {\n", "    background-color: var(--background);\n", "    border: 1px solid var(--background);\n", "}\n", "\n", "table.dataframe .leftBorder {\n", "    border-left-color: var(--inner-border-color);\n", "}\n", "\n", "table.dataframe .rightBorder {\n", "    border-right-color: var(--inner-border-color);\n", "}\n", "\n", "table.dataframe .rightAlign {\n", "    text-align: right;\n", "}\n", "\n", "table.dataframe .expanderSvg {\n", "    width: 8px;\n", "    height: 8px;\n", "    margin-right: 3px;\n", "}\n", "\n", "table.dataframe .expander {\n", "    display: flex;\n", "    align-items: center;\n", "}\n", "\n", "/* formatting */\n", "\n", "table.dataframe .null {\n", "    color: var(--text-color-pale);\n", "}\n", "\n", "table.dataframe .structural {\n", "    color: var(--text-color-medium);\n", "    font-weight: bold;\n", "}\n", "\n", "table.dataframe .dataFrameCaption {\n", "    font-weight: bold;\n", "}\n", "\n", "table.dataframe .numbers {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe td:hover .formatted .structural, .null {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe tr:hover .formatted .structural, .null {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "\n", "            </style>\n", "        </head>\n", "        <body>\n", "            <table class=\"dataframe\" id=\"static_df_-1157627889\"><thead><tr><th class=\"bottomBorder\" style=\"text-align:left\">distribution</th><th class=\"bottomBorder\" style=\"text-align:left\">luckSym</th></tr></thead><tbody><tr><td  style=\"vertical-align:top\">All 1&#39;s</td><td  style=\"vertical-align:top\">-100.000000</td></tr><tr><td  style=\"vertical-align:top\">All 6&#39;s</td><td  style=\"vertical-align:top\">100.000000</td></tr><tr><td  style=\"vertical-align:top\">Even buckets - All fail</td><td  style=\"vertical-align:top\">-100.000000</td></tr><tr><td  style=\"vertical-align:top\">Even buckets - All succed</td><td  style=\"vertical-align:top\">100.000000</td></tr><tr><td  style=\"vertical-align:top\">Even buckets - Half succeed</td><td  style=\"vertical-align:top\">0.000000</td></tr><tr><td  style=\"vertical-align:top\">Scewed towards bottom</td><td  style=\"vertical-align:top\">-99.998497</td></tr><tr><td  style=\"vertical-align:top\">Scewed towards top</td><td  style=\"vertical-align:top\">99.995101</td></tr><tr><td  style=\"vertical-align:top\">Random (4+)</td><td  style=\"vertical-align:top\">-14.417840</td></tr><tr><td  style=\"vertical-align:top\">Random 1</td><td  style=\"vertical-align:top\">-93.573787</td></tr><tr><td  style=\"vertical-align:top\">Random 2</td><td  style=\"vertical-align:top\">24.336664</td></tr><tr><td  style=\"vertical-align:top\">Random 3</td><td  style=\"vertical-align:top\">88.322126</td></tr></tbody></table>\n", "        </body>\n", "        <script>\n", "            document.getElementById(\"static_df_-1157627889\").style.display = \"none\";\n", "        </script>\n", "        </html>" ],
        "application/kotlindataframe+json" : "{\"$version\":\"2.1.1\",\"metadata\":{\"columns\":[\"distribution\",\"luckSym\"],\"types\":[{\"kind\":\"ValueColumn\",\"type\":\"kotlin.Any\"},{\"kind\":\"ValueColumn\",\"type\":\"kotlin.Any\"}],\"nrow\":11,\"ncol\":2},\"kotlin_dataframe\":[{\"distribution\":\"All 1's\",\"luckSym\":\"-100.0\"},{\"distribution\":\"All 6's\",\"luckSym\":\"100.0000000000004\"},{\"distribution\":\"Even buckets - All fail\",\"luckSym\":\"-100.0\"},{\"distribution\":\"Even buckets - All succed\",\"luckSym\":\"100.0\"},{\"distribution\":\"Even buckets - Half succeed\",\"luckSym\":\"2.220446049250313E-14\"},{\"distribution\":\"Scewed towards bottom\",\"luckSym\":\"-99.99849725580138\"},{\"distribution\":\"Scewed towards top\",\"luckSym\":\"99.99510121798447\"},{\"distribution\":\"Random (4+)\",\"luckSym\":\"-14.417840078891997\"},{\"distribution\":\"Random 1\",\"luckSym\":\"-93.5737874558042\"},{\"distribution\":\"Random 2\",\"luckSym\":\"24.336664151898812\"},{\"distribution\":\"Random 3\",\"luckSym\":\"88.32212628082203\"}]}"
      },
      "execution_count" : 9,
      "metadata" : { },
      "output_type" : "execute_result"
    } ],
    "execution_count" : 9
  }, {
    "metadata" : {
      "ExecuteTime" : {
        "end_time" : "2025-08-21T14:34:07.778964Z",
        "start_time" : "2025-08-21T14:34:07.652058Z"
      }
    },
    "cell_type" : "code",
    "source" : [ "/**\n", " * Map luckSym into percentiles [0-100]. This gives the following interpretation:\n", " *\n", " * - 50 : Average outcome\n", " * - 0 : All fails\n", " * - 100 : All successes\n", " * - 20 : 80% of outcomes are more lucky than this\n", " * - 60 : 40% of outcomes are more lucky than this\n", " */\n", "fun luckSymToPercentile(luckSym: Double): Double =\n", "    ((luckSym + 100.0) / 200.0) * 100.0  // returns 0..100\n", "\n", "val luckSymPercentiles = luckSym\n", "    .update(\"luckSym\") { luckSymToPercentile(it as Double) }\n", "    .rename(\"luckSym\").into(\"luckSymPercentile\")\n", "luckSymPercentiles" ],
    "id" : "c02f587799d6f67f",
    "outputs" : [ {
      "data" : {
        "text/html" : [ "            <iframe onload=\"o_resize_iframe_out_11()\" style=\"width:100%;\" class=\"result_container\" id=\"iframe_out_11\" frameBorder=\"0\" srcdoc=\"        &lt;html theme='dark'&gt;\n", "        &lt;head&gt;\n", "            &lt;style type=&quot;text&sol;css&quot;&gt;\n", "                :root {\n", "    --background: #fff;\n", "    --background-odd: #f5f5f5;\n", "    --background-hover: #d9edfd;\n", "    --header-text-color: #474747;\n", "    --text-color: #848484;\n", "    --text-color-dark: #000;\n", "    --text-color-medium: #737373;\n", "    --text-color-pale: #b3b3b3;\n", "    --inner-border-color: #aaa;\n", "    --bold-border-color: #000;\n", "    --link-color: #296eaa;\n", "    --link-color-pale: #296eaa;\n", "    --link-hover: #1a466c;\n", "}\n", "\n", ":root[theme=&quot;dark&quot;], :root [data-jp-theme-light=&quot;false&quot;], .dataframe_dark{\n", "    --background: #303030;\n", "    --background-odd: #3c3c3c;\n", "    --background-hover: #464646;\n", "    --header-text-color: #dddddd;\n", "    --text-color: #b3b3b3;\n", "    --text-color-dark: #dddddd;\n", "    --text-color-medium: #b2b2b2;\n", "    --text-color-pale: #737373;\n", "    --inner-border-color: #707070;\n", "    --bold-border-color: #777777;\n", "    --link-color: #008dc0;\n", "    --link-color-pale: #97e1fb;\n", "    --link-hover: #00688e;\n", "}\n", "\n", "p.dataframe_description {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe {\n", "    font-family: &quot;Helvetica Neue&quot;, Helvetica, Arial, sans-serif;\n", "    font-size: 12px;\n", "    background-color: var(--background);\n", "    color: var(--text-color-dark);\n", "    border: none;\n", "    border-collapse: collapse;\n", "}\n", "\n", "table.dataframe th, td {\n", "    padding: 6px;\n", "    border: 1px solid transparent;\n", "    text-align: left;\n", "}\n", "\n", "table.dataframe th {\n", "    background-color: var(--background);\n", "    color: var(--header-text-color);\n", "}\n", "\n", "table.dataframe td {\n", "    vertical-align: top;\n", "    white-space: nowrap;\n", "}\n", "\n", "table.dataframe th.bottomBorder {\n", "    border-bottom-color: var(--bold-border-color);\n", "}\n", "\n", "table.dataframe tbody &gt; tr:nth-child(odd) {\n", "    background: var(--background-odd);\n", "}\n", "\n", "table.dataframe tbody &gt; tr:nth-child(even) {\n", "    background: var(--background);\n", "}\n", "\n", "table.dataframe tbody &gt; tr:hover {\n", "    background: var(--background-hover);\n", "}\n", "\n", "table.dataframe a {\n", "    cursor: pointer;\n", "    color: var(--link-color);\n", "    text-decoration: none;\n", "}\n", "\n", "table.dataframe tr:hover &gt; td a {\n", "    color: var(--link-color-pale);\n", "}\n", "\n", "table.dataframe a:hover {\n", "    color: var(--link-hover);\n", "    text-decoration: underline;\n", "}\n", "\n", "table.dataframe img {\n", "    max-width: fit-content;\n", "}\n", "\n", "table.dataframe th.complex {\n", "    background-color: var(--background);\n", "    border: 1px solid var(--background);\n", "}\n", "\n", "table.dataframe .leftBorder {\n", "    border-left-color: var(--inner-border-color);\n", "}\n", "\n", "table.dataframe .rightBorder {\n", "    border-right-color: var(--inner-border-color);\n", "}\n", "\n", "table.dataframe .rightAlign {\n", "    text-align: right;\n", "}\n", "\n", "table.dataframe .expanderSvg {\n", "    width: 8px;\n", "    height: 8px;\n", "    margin-right: 3px;\n", "}\n", "\n", "table.dataframe .expander {\n", "    display: flex;\n", "    align-items: center;\n", "}\n", "\n", "&sol;* formatting *&sol;\n", "\n", "table.dataframe .null {\n", "    color: var(--text-color-pale);\n", "}\n", "\n", "table.dataframe .structural {\n", "    color: var(--text-color-medium);\n", "    font-weight: bold;\n", "}\n", "\n", "table.dataframe .dataFrameCaption {\n", "    font-weight: bold;\n", "}\n", "\n", "table.dataframe .numbers {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe td:hover .formatted .structural, .null {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe tr:hover .formatted .structural, .null {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "\n", ":root {\n", "    --scroll-bg: #f5f5f5;\n", "    --scroll-fg: #b3b3b3;\n", "}\n", ":root[theme=&quot;dark&quot;], :root [data-jp-theme-light=&quot;false&quot;]{\n", "    --scroll-bg: #3c3c3c;\n", "    --scroll-fg: #97e1fb;\n", "}\n", "body {\n", "    scrollbar-color: var(--scroll-fg) var(--scroll-bg);\n", "}\n", "body::-webkit-scrollbar {\n", "    width: 10px; &sol;* Mostly for vertical scrollbars *&sol;\n", "    height: 10px; &sol;* Mostly for horizontal scrollbars *&sol;\n", "}\n", "body::-webkit-scrollbar-thumb {\n", "    background-color: var(--scroll-fg);\n", "}\n", "body::-webkit-scrollbar-track {\n", "    background-color: var(--scroll-bg);\n", "}\n", "            &lt;&sol;style&gt;\n", "        &lt;&sol;head&gt;\n", "        &lt;body&gt;\n", "            &lt;table class=&quot;dataframe&quot; id=&quot;df_-1157627884&quot;&gt;&lt;&sol;table&gt;\n", "\n", "&lt;p class=&quot;dataframe_description&quot;&gt;DataFrame: rowsCount = 11, columnsCount = 2&lt;&sol;p&gt;\n", "\n", "        &lt;&sol;body&gt;\n", "        &lt;script&gt;\n", "            (function () {\n", "    window.DataFrame = window.DataFrame || new (function () {\n", "        this.addTable = function (df) {\n", "            let cols = df.cols;\n", "            for (let i = 0; i &lt; cols.length; i++) {\n", "                for (let c of cols[i].children) {\n", "                    cols[c].parent = i;\n", "                }\n", "            }\n", "            df.nrow = 0\n", "            for (let i = 0; i &lt; df.cols.length; i++) {\n", "                if (df.cols[i].values.length &gt; df.nrow) df.nrow = df.cols[i].values.length\n", "            }\n", "            if (df.id === df.rootId) {\n", "                df.expandedFrames = new Set()\n", "                df.childFrames = {}\n", "                const table = this.getTableElement(df.id)\n", "                table.df = df\n", "                for (let i = 0; i &lt; df.cols.length; i++) {\n", "                    let col = df.cols[i]\n", "                    if (col.parent === undefined &amp;&amp; col.children.length &gt; 0) col.expanded = true\n", "                }\n", "            } else {\n", "                const rootDf = this.getTableData(df.rootId)\n", "                rootDf.childFrames[df.id] = df\n", "            }\n", "        }\n", "\n", "        this.computeRenderData = function (df) {\n", "            let result = []\n", "            let pos = 0\n", "            for (let col = 0; col &lt; df.cols.length; col++) {\n", "                if (df.cols[col].parent === undefined)\n", "                    pos += this.computeRenderDataRec(df.cols, col, pos, 0, result, false, false)\n", "            }\n", "            for (let i = 0; i &lt; result.length; i++) {\n", "                let row = result[i]\n", "                for (let j = 0; j &lt; row.length; j++) {\n", "                    let cell = row[j]\n", "                    if (j === 0)\n", "                        cell.leftBd = false\n", "                    if (j &lt; row.length - 1) {\n", "                        let nextData = row[j + 1]\n", "                        if (nextData.leftBd) cell.rightBd = true\n", "                        else if (cell.rightBd) nextData.leftBd = true\n", "                    } else cell.rightBd = false\n", "                }\n", "            }\n", "            return result\n", "        }\n", "\n", "        this.computeRenderDataRec = function (cols, colId, pos, depth, result, leftBorder, rightBorder) {\n", "            if (result.length === depth) {\n", "                const array = [];\n", "                if (pos &gt; 0) {\n", "                    let j = 0\n", "                    for (let i = 0; j &lt; pos; i++) {\n", "                        let c = result[depth - 1][i]\n", "                        j += c.span\n", "                        let copy = Object.assign({empty: true}, c)\n", "                        array.push(copy)\n", "                    }\n", "                }\n", "                result.push(array)\n", "            }\n", "            const col = cols[colId];\n", "            let size = 0;\n", "            if (col.expanded) {\n", "                let childPos = pos\n", "                for (let i = 0; i &lt; col.children.length; i++) {\n", "                    let child = col.children[i]\n", "                    let childLeft = i === 0 &amp;&amp; (col.children.length &gt; 1 || leftBorder)\n", "                    let childRight = i === col.children.length - 1 &amp;&amp; (col.children.length &gt; 1 || rightBorder)\n", "                    let childSize = this.computeRenderDataRec(cols, child, childPos, depth + 1, result, childLeft, childRight)\n", "                    childPos += childSize\n", "                    size += childSize\n", "                }\n", "            } else {\n", "                for (let i = depth + 1; i &lt; result.length; i++)\n", "                    result[i].push({id: colId, span: 1, leftBd: leftBorder, rightBd: rightBorder, empty: true})\n", "                size = 1\n", "            }\n", "            let left = leftBorder\n", "            let right = rightBorder\n", "            if (size &gt; 1) {\n", "                left = true\n", "                right = true\n", "            }\n", "            result[depth].push({id: colId, span: size, leftBd: left, rightBd: right})\n", "            return size\n", "        }\n", "\n", "        this.getTableElement = function (id) {\n", "            return document.getElementById(&quot;df_&quot; + id)\n", "        }\n", "\n", "        this.getTableData = function (id) {\n", "            return this.getTableElement(id).df\n", "        }\n", "\n", "        this.createExpander = function (isExpanded) {\n", "            const svgNs = &quot;http:&sol;&sol;www.w3.org&sol;2000&sol;svg&quot;\n", "            let svg = document.createElementNS(svgNs, &quot;svg&quot;)\n", "            svg.classList.add(&quot;expanderSvg&quot;)\n", "            let path = document.createElementNS(svgNs, &quot;path&quot;)\n", "            if (isExpanded) {\n", "                svg.setAttribute(&quot;viewBox&quot;, &quot;0 -2 8 8&quot;)\n", "                path.setAttribute(&quot;d&quot;, &quot;M1 0 l-1 1 4 4 4 -4 -1 -1 -3 3Z&quot;)\n", "            } else {\n", "                svg.setAttribute(&quot;viewBox&quot;, &quot;-2 0 8 8&quot;)\n", "                path.setAttribute(&quot;d&quot;, &quot;M1 0 l-1 1 3 3 -3 3 1 1 4 -4Z&quot;)\n", "            }\n", "            path.setAttribute(&quot;fill&quot;, &quot;currentColor&quot;)\n", "            svg.appendChild(path)\n", "            return svg\n", "        }\n", "\n", "        this.renderTable = function (id) {\n", "\n", "            let table = this.getTableElement(id)\n", "\n", "            if (table === null) return\n", "\n", "            table.innerHTML = &quot;&quot;\n", "\n", "            let df = table.df\n", "            let rootDf = df.rootId === df.id ? df : this.getTableData(df.rootId)\n", "\n", "            &sol;&sol; header\n", "            let header = document.createElement(&quot;thead&quot;)\n", "            table.appendChild(header)\n", "\n", "            let renderData = this.computeRenderData(df)\n", "            for (let j = 0; j &lt; renderData.length; j++) {\n", "                let rowData = renderData[j]\n", "                let tr = document.createElement(&quot;tr&quot;);\n", "                let isLastRow = j === renderData.length - 1\n", "                header.appendChild(tr);\n", "                for (let i = 0; i &lt; rowData.length; i++) {\n", "                    let cell = rowData[i]\n", "                    let th = document.createElement(&quot;th&quot;);\n", "                    th.setAttribute(&quot;colspan&quot;, cell.span)\n", "                    let colId = cell.id\n", "                    let col = df.cols[colId];\n", "                    if (!cell.empty) {\n", "                        if (col.children.length === 0) {\n", "                            th.innerHTML = col.name\n", "                        } else {\n", "                            let link = document.createElement(&quot;a&quot;)\n", "                            link.className = &quot;expander&quot;\n", "                            let that = this\n", "                            link.onclick = function () {\n", "                                col.expanded = !col.expanded\n", "                                that.renderTable(id)\n", "                            }\n", "                            link.appendChild(this.createExpander(col.expanded))\n", "                            link.innerHTML += col.name\n", "                            th.appendChild(link)\n", "                        }\n", "                    }\n", "                    let classes = (cell.leftBd ? &quot; leftBorder&quot; : &quot;&quot;) + (cell.rightBd ? &quot; rightBorder&quot; : &quot;&quot;)\n", "                    if (col.rightAlign)\n", "                        classes += &quot; rightAlign&quot;\n", "                    if (isLastRow)\n", "                        classes += &quot; bottomBorder&quot;\n", "                    if (classes.length &gt; 0)\n", "                        th.setAttribute(&quot;class&quot;, classes)\n", "                    tr.appendChild(th)\n", "                }\n", "            }\n", "\n", "            &sol;&sol; body\n", "            let body = document.createElement(&quot;tbody&quot;)\n", "            table.appendChild(body)\n", "\n", "            let columns = renderData.pop()\n", "            for (let row = 0; row &lt; df.nrow; row++) {\n", "                let tr = document.createElement(&quot;tr&quot;);\n", "                body.appendChild(tr)\n", "                for (let i = 0; i &lt; columns.length; i++) {\n", "                    let cell = columns[i]\n", "                    let td = document.createElement(&quot;td&quot;);\n", "                    let colId = cell.id\n", "                    let col = df.cols[colId]\n", "                    let classes = (cell.leftBd ? &quot; leftBorder&quot; : &quot;&quot;) + (cell.rightBd ? &quot; rightBorder&quot; : &quot;&quot;)\n", "                    if (col.rightAlign)\n", "                        classes += &quot; rightAlign&quot;\n", "                    if (classes.length &gt; 0)\n", "                        td.setAttribute(&quot;class&quot;, classes)\n", "                    tr.appendChild(td)\n", "                    let value = col.values[row]\n", "                    if (value.frameId !== undefined) {\n", "                        let frameId = value.frameId\n", "                        let expanded = rootDf.expandedFrames.has(frameId)\n", "                        let link = document.createElement(&quot;a&quot;)\n", "                        link.className = &quot;expander&quot;\n", "                        let that = this\n", "                        link.onclick = function () {\n", "                            if (rootDf.expandedFrames.has(frameId))\n", "                                rootDf.expandedFrames.delete(frameId)\n", "                            else rootDf.expandedFrames.add(frameId)\n", "                            that.renderTable(id)\n", "                        }\n", "                        link.appendChild(this.createExpander(expanded))\n", "                        link.innerHTML += value.value\n", "                        if (expanded) {\n", "                            td.appendChild(link)\n", "                            td.appendChild(document.createElement(&quot;p&quot;))\n", "                            const childTable = document.createElement(&quot;table&quot;)\n", "                            childTable.className = &quot;dataframe&quot;\n", "                            childTable.id = &quot;df_&quot; + frameId\n", "                            let childDf = rootDf.childFrames[frameId]\n", "                            childTable.df = childDf\n", "                            td.appendChild(childTable)\n", "                            this.renderTable(frameId)\n", "                            if (childDf.nrow !== childDf.totalRows) {\n", "                                const footer = document.createElement(&quot;p&quot;)\n", "                                footer.innerText = `... showing only top ${childDf.nrow} of ${childDf.totalRows} rows`\n", "                                td.appendChild(footer)\n", "                            }\n", "                        } else {\n", "                            td.appendChild(link)\n", "                        }\n", "                    } else if (value.style !== undefined) {\n", "                        td.innerHTML = value.value\n", "                        td.setAttribute(&quot;style&quot;, value.style)\n", "                    } else td.innerHTML = value\n", "                    this.nodeScriptReplace(td)\n", "                }\n", "            }\n", "        }\n", "\n", "        this.nodeScriptReplace = function (node) {\n", "            if (this.nodeScriptIs(node) === true) {\n", "                node.parentNode.replaceChild(this.nodeScriptClone(node), node);\n", "            } else {\n", "                let i = -1, children = node.childNodes;\n", "                while (++i &lt; children.length) {\n", "                    this.nodeScriptReplace(children[i]);\n", "                }\n", "            }\n", "\n", "            return node;\n", "        }\n", "\n", "        this.nodeScriptClone = function (node) {\n", "            let script = document.createElement(&quot;script&quot;);\n", "            script.text = node.innerHTML;\n", "\n", "            let i = -1, attrs = node.attributes, attr;\n", "            while (++i &lt; attrs.length) {\n", "                script.setAttribute((attr = attrs[i]).name, attr.value);\n", "            }\n", "            return script;\n", "        }\n", "\n", "        this.nodeScriptIs = function (node) {\n", "            return node.tagName === 'SCRIPT';\n", "        }\n", "    })()\n", "\n", "    window.call_DataFrame = function (f) {\n", "        return f();\n", "    };\n", "\n", "    let funQueue = window[&quot;kotlinQueues&quot;] &amp;&amp; window[&quot;kotlinQueues&quot;][&quot;DataFrame&quot;];\n", "    if (funQueue) {\n", "        funQueue.forEach(function (f) {\n", "            f();\n", "        });\n", "        funQueue = [];\n", "    }\n", "})()\n", "\n", "&sol;*&lt;!--*&sol;\n", "call_DataFrame(function() { DataFrame.addTable({ cols: [{ name: &quot;&lt;span title=&bsol;&quot;distribution: Any&bsol;&quot;&gt;distribution&lt;&sol;span&gt;&quot;, children: [], rightAlign: false, values: [&quot;All 1&amp;#39;s&quot;,&quot;All 6&amp;#39;s&quot;,&quot;Even buckets - All fail&quot;,&quot;Even buckets - All succed&quot;,&quot;Even buckets - Half succeed&quot;,&quot;Scewed towards bottom&quot;,&quot;Scewed towards top&quot;,&quot;Random (4+)&quot;,&quot;Random 1&quot;,&quot;Random 2&quot;,&quot;Random 3&quot;] }, \n", "{ name: &quot;&lt;span title=&bsol;&quot;luckSymPercentile: Any&bsol;&quot;&gt;luckSymPercentile&lt;&sol;span&gt;&quot;, children: [], rightAlign: false, values: [&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;100.0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;100.0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;50.0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;100.0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;42.8&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;3.2&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;62.2&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;94.2&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;] }, \n", "], id: -1157627884, rootId: -1157627884, totalRows: 11 } ) });\n", "&sol;*--&gt;*&sol;\n", "\n", "call_DataFrame(function() { DataFrame.renderTable(-1157627884) });\n", "\n", "\n", "        &lt;&sol;script&gt;\n", "        &lt;&sol;html&gt;\"></iframe>\n", "            <script>\n", "                function o_resize_iframe_out_11() {\n", "                    let elem = document.getElementById(\"iframe_out_11\");\n", "                    resize_iframe_out_11(elem);\n", "                    setInterval(resize_iframe_out_11, 5000, elem);\n", "                }\n", "                function resize_iframe_out_11(el) {\n", "                    let h = el.contentWindow.document.body.scrollHeight;\n", "                    el.height = h === 0 ? 0 : h + 41;\n", "                }\n", "            </script>        <html theme='dark'>\n", "        <head>\n", "            <style type=\"text/css\">\n", "                :root {\n", "    --background: #fff;\n", "    --background-odd: #f5f5f5;\n", "    --background-hover: #d9edfd;\n", "    --header-text-color: #474747;\n", "    --text-color: #848484;\n", "    --text-color-dark: #000;\n", "    --text-color-medium: #737373;\n", "    --text-color-pale: #b3b3b3;\n", "    --inner-border-color: #aaa;\n", "    --bold-border-color: #000;\n", "    --link-color: #296eaa;\n", "    --link-color-pale: #296eaa;\n", "    --link-hover: #1a466c;\n", "}\n", "\n", ":root[theme=\"dark\"], :root [data-jp-theme-light=\"false\"], .dataframe_dark{\n", "    --background: #303030;\n", "    --background-odd: #3c3c3c;\n", "    --background-hover: #464646;\n", "    --header-text-color: #dddddd;\n", "    --text-color: #b3b3b3;\n", "    --text-color-dark: #dddddd;\n", "    --text-color-medium: #b2b2b2;\n", "    --text-color-pale: #737373;\n", "    --inner-border-color: #707070;\n", "    --bold-border-color: #777777;\n", "    --link-color: #008dc0;\n", "    --link-color-pale: #97e1fb;\n", "    --link-hover: #00688e;\n", "}\n", "\n", "p.dataframe_description {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe {\n", "    font-family: \"Helvetica Neue\", Helvetica, Arial, sans-serif;\n", "    font-size: 12px;\n", "    background-color: var(--background);\n", "    color: var(--text-color-dark);\n", "    border: none;\n", "    border-collapse: collapse;\n", "}\n", "\n", "table.dataframe th, td {\n", "    padding: 6px;\n", "    border: 1px solid transparent;\n", "    text-align: left;\n", "}\n", "\n", "table.dataframe th {\n", "    background-color: var(--background);\n", "    color: var(--header-text-color);\n", "}\n", "\n", "table.dataframe td {\n", "    vertical-align: top;\n", "    white-space: nowrap;\n", "}\n", "\n", "table.dataframe th.bottomBorder {\n", "    border-bottom-color: var(--bold-border-color);\n", "}\n", "\n", "table.dataframe tbody > tr:nth-child(odd) {\n", "    background: var(--background-odd);\n", "}\n", "\n", "table.dataframe tbody > tr:nth-child(even) {\n", "    background: var(--background);\n", "}\n", "\n", "table.dataframe tbody > tr:hover {\n", "    background: var(--background-hover);\n", "}\n", "\n", "table.dataframe a {\n", "    cursor: pointer;\n", "    color: var(--link-color);\n", "    text-decoration: none;\n", "}\n", "\n", "table.dataframe tr:hover > td a {\n", "    color: var(--link-color-pale);\n", "}\n", "\n", "table.dataframe a:hover {\n", "    color: var(--link-hover);\n", "    text-decoration: underline;\n", "}\n", "\n", "table.dataframe img {\n", "    max-width: fit-content;\n", "}\n", "\n", "table.dataframe th.complex {\n", "    background-color: var(--background);\n", "    border: 1px solid var(--background);\n", "}\n", "\n", "table.dataframe .leftBorder {\n", "    border-left-color: var(--inner-border-color);\n", "}\n", "\n", "table.dataframe .rightBorder {\n", "    border-right-color: var(--inner-border-color);\n", "}\n", "\n", "table.dataframe .rightAlign {\n", "    text-align: right;\n", "}\n", "\n", "table.dataframe .expanderSvg {\n", "    width: 8px;\n", "    height: 8px;\n", "    margin-right: 3px;\n", "}\n", "\n", "table.dataframe .expander {\n", "    display: flex;\n", "    align-items: center;\n", "}\n", "\n", "/* formatting */\n", "\n", "table.dataframe .null {\n", "    color: var(--text-color-pale);\n", "}\n", "\n", "table.dataframe .structural {\n", "    color: var(--text-color-medium);\n", "    font-weight: bold;\n", "}\n", "\n", "table.dataframe .dataFrameCaption {\n", "    font-weight: bold;\n", "}\n", "\n", "table.dataframe .numbers {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe td:hover .formatted .structural, .null {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe tr:hover .formatted .structural, .null {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "\n", "            </style>\n", "        </head>\n", "        <body>\n", "            <table class=\"dataframe\" id=\"static_df_-1157627883\"><thead><tr><th class=\"bottomBorder\" style=\"text-align:left\">distribution</th><th class=\"bottomBorder\" style=\"text-align:left\">luckSymPercentile</th></tr></thead><tbody><tr><td  style=\"vertical-align:top\">All 1&#39;s</td><td  style=\"vertical-align:top\">0.000000</td></tr><tr><td  style=\"vertical-align:top\">All 6&#39;s</td><td  style=\"vertical-align:top\">100.000000</td></tr><tr><td  style=\"vertical-align:top\">Even buckets - All fail</td><td  style=\"vertical-align:top\">0.000000</td></tr><tr><td  style=\"vertical-align:top\">Even buckets - All succed</td><td  style=\"vertical-align:top\">100.000000</td></tr><tr><td  style=\"vertical-align:top\">Even buckets - Half succeed</td><td  style=\"vertical-align:top\">50.000000</td></tr><tr><td  style=\"vertical-align:top\">Scewed towards bottom</td><td  style=\"vertical-align:top\">0.000751</td></tr><tr><td  style=\"vertical-align:top\">Scewed towards top</td><td  style=\"vertical-align:top\">99.997551</td></tr><tr><td  style=\"vertical-align:top\">Random (4+)</td><td  style=\"vertical-align:top\">42.791080</td></tr><tr><td  style=\"vertical-align:top\">Random 1</td><td  style=\"vertical-align:top\">3.213106</td></tr><tr><td  style=\"vertical-align:top\">Random 2</td><td  style=\"vertical-align:top\">62.168332</td></tr><tr><td  style=\"vertical-align:top\">Random 3</td><td  style=\"vertical-align:top\">94.161063</td></tr></tbody></table>\n", "        </body>\n", "        <script>\n", "            document.getElementById(\"static_df_-1157627883\").style.display = \"none\";\n", "        </script>\n", "        </html>" ],
        "application/kotlindataframe+json" : "{\"$version\":\"2.1.1\",\"metadata\":{\"columns\":[\"distribution\",\"luckSymPercentile\"],\"types\":[{\"kind\":\"ValueColumn\",\"type\":\"kotlin.Any\"},{\"kind\":\"ValueColumn\",\"type\":\"kotlin.Any\"}],\"nrow\":11,\"ncol\":2},\"kotlin_dataframe\":[{\"distribution\":\"All 1's\",\"luckSymPercentile\":\"0.0\"},{\"distribution\":\"All 6's\",\"luckSymPercentile\":\"100.0000000000002\"},{\"distribution\":\"Even buckets - All fail\",\"luckSymPercentile\":\"0.0\"},{\"distribution\":\"Even buckets - All succed\",\"luckSymPercentile\":\"100.0\"},{\"distribution\":\"Even buckets - Half succeed\",\"luckSymPercentile\":\"50.000000000000014\"},{\"distribution\":\"Scewed towards bottom\",\"luckSymPercentile\":\"7.513720993088668E-4\"},{\"distribution\":\"Scewed towards top\",\"luckSymPercentile\":\"99.99755060899224\"},{\"distribution\":\"Random (4+)\",\"luckSymPercentile\":\"42.791079960554\"},{\"distribution\":\"Random 1\",\"luckSymPercentile\":\"3.2131062720979027\"},{\"distribution\":\"Random 2\",\"luckSymPercentile\":\"62.16833207594941\"},{\"distribution\":\"Random 3\",\"luckSymPercentile\":\"94.16106314041102\"}]}"
      },
      "execution_count" : 10,
      "metadata" : { },
      "output_type" : "execute_result"
    } ],
    "execution_count" : 10
  }, {
    "metadata" : {
      "ExecuteTime" : {
        "end_time" : "2025-08-21T14:34:08.004933Z",
        "start_time" : "2025-08-21T14:34:07.898591Z"
      }
    },
    "cell_type" : "code",
    "source" : [ "/**\n", " * Compare the relevant results from all the experiments.\n", " */\n", "listOf(\n", "    jsdValues.select { \"distribution\" and \"jsd\"},\n", "    jsdValues.select { \"distribution\" and \"adjustedJSD\"},\n", "    fumbblLuckValue.select { \"distribution\" and \"luck\" }.rename(\"luck\").into(\"FFB Luck\"),\n", "    zScoreLuckSummary.select { \"distribution\" and \"zScore\" },\n", "    zScoreLuckSummary.select { \"distribution\" and \"rarityPercentage\" }.rename(\"rarityPercentage\").into(\"normalDist%\"),\n", "    luckSym.select { \"distribution\" and \"luckSym\"},\n", "    luckSymPercentiles.select { \"distribution\" and \"luckSymPercentile\"}\n", ").reduce { acc, df ->\n", "    acc.join(df) { \"distribution\" match \"distribution\" }\n", "}" ],
    "id" : "67022d515da32310",
    "outputs" : [ {
      "data" : {
        "text/html" : [ "            <iframe onload=\"o_resize_iframe_out_12()\" style=\"width:100%;\" class=\"result_container\" id=\"iframe_out_12\" frameBorder=\"0\" srcdoc=\"        &lt;html theme='dark'&gt;\n", "        &lt;head&gt;\n", "            &lt;style type=&quot;text&sol;css&quot;&gt;\n", "                :root {\n", "    --background: #fff;\n", "    --background-odd: #f5f5f5;\n", "    --background-hover: #d9edfd;\n", "    --header-text-color: #474747;\n", "    --text-color: #848484;\n", "    --text-color-dark: #000;\n", "    --text-color-medium: #737373;\n", "    --text-color-pale: #b3b3b3;\n", "    --inner-border-color: #aaa;\n", "    --bold-border-color: #000;\n", "    --link-color: #296eaa;\n", "    --link-color-pale: #296eaa;\n", "    --link-hover: #1a466c;\n", "}\n", "\n", ":root[theme=&quot;dark&quot;], :root [data-jp-theme-light=&quot;false&quot;], .dataframe_dark{\n", "    --background: #303030;\n", "    --background-odd: #3c3c3c;\n", "    --background-hover: #464646;\n", "    --header-text-color: #dddddd;\n", "    --text-color: #b3b3b3;\n", "    --text-color-dark: #dddddd;\n", "    --text-color-medium: #b2b2b2;\n", "    --text-color-pale: #737373;\n", "    --inner-border-color: #707070;\n", "    --bold-border-color: #777777;\n", "    --link-color: #008dc0;\n", "    --link-color-pale: #97e1fb;\n", "    --link-hover: #00688e;\n", "}\n", "\n", "p.dataframe_description {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe {\n", "    font-family: &quot;Helvetica Neue&quot;, Helvetica, Arial, sans-serif;\n", "    font-size: 12px;\n", "    background-color: var(--background);\n", "    color: var(--text-color-dark);\n", "    border: none;\n", "    border-collapse: collapse;\n", "}\n", "\n", "table.dataframe th, td {\n", "    padding: 6px;\n", "    border: 1px solid transparent;\n", "    text-align: left;\n", "}\n", "\n", "table.dataframe th {\n", "    background-color: var(--background);\n", "    color: var(--header-text-color);\n", "}\n", "\n", "table.dataframe td {\n", "    vertical-align: top;\n", "    white-space: nowrap;\n", "}\n", "\n", "table.dataframe th.bottomBorder {\n", "    border-bottom-color: var(--bold-border-color);\n", "}\n", "\n", "table.dataframe tbody &gt; tr:nth-child(odd) {\n", "    background: var(--background-odd);\n", "}\n", "\n", "table.dataframe tbody &gt; tr:nth-child(even) {\n", "    background: var(--background);\n", "}\n", "\n", "table.dataframe tbody &gt; tr:hover {\n", "    background: var(--background-hover);\n", "}\n", "\n", "table.dataframe a {\n", "    cursor: pointer;\n", "    color: var(--link-color);\n", "    text-decoration: none;\n", "}\n", "\n", "table.dataframe tr:hover &gt; td a {\n", "    color: var(--link-color-pale);\n", "}\n", "\n", "table.dataframe a:hover {\n", "    color: var(--link-hover);\n", "    text-decoration: underline;\n", "}\n", "\n", "table.dataframe img {\n", "    max-width: fit-content;\n", "}\n", "\n", "table.dataframe th.complex {\n", "    background-color: var(--background);\n", "    border: 1px solid var(--background);\n", "}\n", "\n", "table.dataframe .leftBorder {\n", "    border-left-color: var(--inner-border-color);\n", "}\n", "\n", "table.dataframe .rightBorder {\n", "    border-right-color: var(--inner-border-color);\n", "}\n", "\n", "table.dataframe .rightAlign {\n", "    text-align: right;\n", "}\n", "\n", "table.dataframe .expanderSvg {\n", "    width: 8px;\n", "    height: 8px;\n", "    margin-right: 3px;\n", "}\n", "\n", "table.dataframe .expander {\n", "    display: flex;\n", "    align-items: center;\n", "}\n", "\n", "&sol;* formatting *&sol;\n", "\n", "table.dataframe .null {\n", "    color: var(--text-color-pale);\n", "}\n", "\n", "table.dataframe .structural {\n", "    color: var(--text-color-medium);\n", "    font-weight: bold;\n", "}\n", "\n", "table.dataframe .dataFrameCaption {\n", "    font-weight: bold;\n", "}\n", "\n", "table.dataframe .numbers {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe td:hover .formatted .structural, .null {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe tr:hover .formatted .structural, .null {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "\n", ":root {\n", "    --scroll-bg: #f5f5f5;\n", "    --scroll-fg: #b3b3b3;\n", "}\n", ":root[theme=&quot;dark&quot;], :root [data-jp-theme-light=&quot;false&quot;]{\n", "    --scroll-bg: #3c3c3c;\n", "    --scroll-fg: #97e1fb;\n", "}\n", "body {\n", "    scrollbar-color: var(--scroll-fg) var(--scroll-bg);\n", "}\n", "body::-webkit-scrollbar {\n", "    width: 10px; &sol;* Mostly for vertical scrollbars *&sol;\n", "    height: 10px; &sol;* Mostly for horizontal scrollbars *&sol;\n", "}\n", "body::-webkit-scrollbar-thumb {\n", "    background-color: var(--scroll-fg);\n", "}\n", "body::-webkit-scrollbar-track {\n", "    background-color: var(--scroll-bg);\n", "}\n", "            &lt;&sol;style&gt;\n", "        &lt;&sol;head&gt;\n", "        &lt;body&gt;\n", "            &lt;table class=&quot;dataframe&quot; id=&quot;df_-1157627882&quot;&gt;&lt;&sol;table&gt;\n", "\n", "&lt;p class=&quot;dataframe_description&quot;&gt;DataFrame: rowsCount = 11, columnsCount = 8&lt;&sol;p&gt;\n", "\n", "        &lt;&sol;body&gt;\n", "        &lt;script&gt;\n", "            (function () {\n", "    window.DataFrame = window.DataFrame || new (function () {\n", "        this.addTable = function (df) {\n", "            let cols = df.cols;\n", "            for (let i = 0; i &lt; cols.length; i++) {\n", "                for (let c of cols[i].children) {\n", "                    cols[c].parent = i;\n", "                }\n", "            }\n", "            df.nrow = 0\n", "            for (let i = 0; i &lt; df.cols.length; i++) {\n", "                if (df.cols[i].values.length &gt; df.nrow) df.nrow = df.cols[i].values.length\n", "            }\n", "            if (df.id === df.rootId) {\n", "                df.expandedFrames = new Set()\n", "                df.childFrames = {}\n", "                const table = this.getTableElement(df.id)\n", "                table.df = df\n", "                for (let i = 0; i &lt; df.cols.length; i++) {\n", "                    let col = df.cols[i]\n", "                    if (col.parent === undefined &amp;&amp; col.children.length &gt; 0) col.expanded = true\n", "                }\n", "            } else {\n", "                const rootDf = this.getTableData(df.rootId)\n", "                rootDf.childFrames[df.id] = df\n", "            }\n", "        }\n", "\n", "        this.computeRenderData = function (df) {\n", "            let result = []\n", "            let pos = 0\n", "            for (let col = 0; col &lt; df.cols.length; col++) {\n", "                if (df.cols[col].parent === undefined)\n", "                    pos += this.computeRenderDataRec(df.cols, col, pos, 0, result, false, false)\n", "            }\n", "            for (let i = 0; i &lt; result.length; i++) {\n", "                let row = result[i]\n", "                for (let j = 0; j &lt; row.length; j++) {\n", "                    let cell = row[j]\n", "                    if (j === 0)\n", "                        cell.leftBd = false\n", "                    if (j &lt; row.length - 1) {\n", "                        let nextData = row[j + 1]\n", "                        if (nextData.leftBd) cell.rightBd = true\n", "                        else if (cell.rightBd) nextData.leftBd = true\n", "                    } else cell.rightBd = false\n", "                }\n", "            }\n", "            return result\n", "        }\n", "\n", "        this.computeRenderDataRec = function (cols, colId, pos, depth, result, leftBorder, rightBorder) {\n", "            if (result.length === depth) {\n", "                const array = [];\n", "                if (pos &gt; 0) {\n", "                    let j = 0\n", "                    for (let i = 0; j &lt; pos; i++) {\n", "                        let c = result[depth - 1][i]\n", "                        j += c.span\n", "                        let copy = Object.assign({empty: true}, c)\n", "                        array.push(copy)\n", "                    }\n", "                }\n", "                result.push(array)\n", "            }\n", "            const col = cols[colId];\n", "            let size = 0;\n", "            if (col.expanded) {\n", "                let childPos = pos\n", "                for (let i = 0; i &lt; col.children.length; i++) {\n", "                    let child = col.children[i]\n", "                    let childLeft = i === 0 &amp;&amp; (col.children.length &gt; 1 || leftBorder)\n", "                    let childRight = i === col.children.length - 1 &amp;&amp; (col.children.length &gt; 1 || rightBorder)\n", "                    let childSize = this.computeRenderDataRec(cols, child, childPos, depth + 1, result, childLeft, childRight)\n", "                    childPos += childSize\n", "                    size += childSize\n", "                }\n", "            } else {\n", "                for (let i = depth + 1; i &lt; result.length; i++)\n", "                    result[i].push({id: colId, span: 1, leftBd: leftBorder, rightBd: rightBorder, empty: true})\n", "                size = 1\n", "            }\n", "            let left = leftBorder\n", "            let right = rightBorder\n", "            if (size &gt; 1) {\n", "                left = true\n", "                right = true\n", "            }\n", "            result[depth].push({id: colId, span: size, leftBd: left, rightBd: right})\n", "            return size\n", "        }\n", "\n", "        this.getTableElement = function (id) {\n", "            return document.getElementById(&quot;df_&quot; + id)\n", "        }\n", "\n", "        this.getTableData = function (id) {\n", "            return this.getTableElement(id).df\n", "        }\n", "\n", "        this.createExpander = function (isExpanded) {\n", "            const svgNs = &quot;http:&sol;&sol;www.w3.org&sol;2000&sol;svg&quot;\n", "            let svg = document.createElementNS(svgNs, &quot;svg&quot;)\n", "            svg.classList.add(&quot;expanderSvg&quot;)\n", "            let path = document.createElementNS(svgNs, &quot;path&quot;)\n", "            if (isExpanded) {\n", "                svg.setAttribute(&quot;viewBox&quot;, &quot;0 -2 8 8&quot;)\n", "                path.setAttribute(&quot;d&quot;, &quot;M1 0 l-1 1 4 4 4 -4 -1 -1 -3 3Z&quot;)\n", "            } else {\n", "                svg.setAttribute(&quot;viewBox&quot;, &quot;-2 0 8 8&quot;)\n", "                path.setAttribute(&quot;d&quot;, &quot;M1 0 l-1 1 3 3 -3 3 1 1 4 -4Z&quot;)\n", "            }\n", "            path.setAttribute(&quot;fill&quot;, &quot;currentColor&quot;)\n", "            svg.appendChild(path)\n", "            return svg\n", "        }\n", "\n", "        this.renderTable = function (id) {\n", "\n", "            let table = this.getTableElement(id)\n", "\n", "            if (table === null) return\n", "\n", "            table.innerHTML = &quot;&quot;\n", "\n", "            let df = table.df\n", "            let rootDf = df.rootId === df.id ? df : this.getTableData(df.rootId)\n", "\n", "            &sol;&sol; header\n", "            let header = document.createElement(&quot;thead&quot;)\n", "            table.appendChild(header)\n", "\n", "            let renderData = this.computeRenderData(df)\n", "            for (let j = 0; j &lt; renderData.length; j++) {\n", "                let rowData = renderData[j]\n", "                let tr = document.createElement(&quot;tr&quot;);\n", "                let isLastRow = j === renderData.length - 1\n", "                header.appendChild(tr);\n", "                for (let i = 0; i &lt; rowData.length; i++) {\n", "                    let cell = rowData[i]\n", "                    let th = document.createElement(&quot;th&quot;);\n", "                    th.setAttribute(&quot;colspan&quot;, cell.span)\n", "                    let colId = cell.id\n", "                    let col = df.cols[colId];\n", "                    if (!cell.empty) {\n", "                        if (col.children.length === 0) {\n", "                            th.innerHTML = col.name\n", "                        } else {\n", "                            let link = document.createElement(&quot;a&quot;)\n", "                            link.className = &quot;expander&quot;\n", "                            let that = this\n", "                            link.onclick = function () {\n", "                                col.expanded = !col.expanded\n", "                                that.renderTable(id)\n", "                            }\n", "                            link.appendChild(this.createExpander(col.expanded))\n", "                            link.innerHTML += col.name\n", "                            th.appendChild(link)\n", "                        }\n", "                    }\n", "                    let classes = (cell.leftBd ? &quot; leftBorder&quot; : &quot;&quot;) + (cell.rightBd ? &quot; rightBorder&quot; : &quot;&quot;)\n", "                    if (col.rightAlign)\n", "                        classes += &quot; rightAlign&quot;\n", "                    if (isLastRow)\n", "                        classes += &quot; bottomBorder&quot;\n", "                    if (classes.length &gt; 0)\n", "                        th.setAttribute(&quot;class&quot;, classes)\n", "                    tr.appendChild(th)\n", "                }\n", "            }\n", "\n", "            &sol;&sol; body\n", "            let body = document.createElement(&quot;tbody&quot;)\n", "            table.appendChild(body)\n", "\n", "            let columns = renderData.pop()\n", "            for (let row = 0; row &lt; df.nrow; row++) {\n", "                let tr = document.createElement(&quot;tr&quot;);\n", "                body.appendChild(tr)\n", "                for (let i = 0; i &lt; columns.length; i++) {\n", "                    let cell = columns[i]\n", "                    let td = document.createElement(&quot;td&quot;);\n", "                    let colId = cell.id\n", "                    let col = df.cols[colId]\n", "                    let classes = (cell.leftBd ? &quot; leftBorder&quot; : &quot;&quot;) + (cell.rightBd ? &quot; rightBorder&quot; : &quot;&quot;)\n", "                    if (col.rightAlign)\n", "                        classes += &quot; rightAlign&quot;\n", "                    if (classes.length &gt; 0)\n", "                        td.setAttribute(&quot;class&quot;, classes)\n", "                    tr.appendChild(td)\n", "                    let value = col.values[row]\n", "                    if (value.frameId !== undefined) {\n", "                        let frameId = value.frameId\n", "                        let expanded = rootDf.expandedFrames.has(frameId)\n", "                        let link = document.createElement(&quot;a&quot;)\n", "                        link.className = &quot;expander&quot;\n", "                        let that = this\n", "                        link.onclick = function () {\n", "                            if (rootDf.expandedFrames.has(frameId))\n", "                                rootDf.expandedFrames.delete(frameId)\n", "                            else rootDf.expandedFrames.add(frameId)\n", "                            that.renderTable(id)\n", "                        }\n", "                        link.appendChild(this.createExpander(expanded))\n", "                        link.innerHTML += value.value\n", "                        if (expanded) {\n", "                            td.appendChild(link)\n", "                            td.appendChild(document.createElement(&quot;p&quot;))\n", "                            const childTable = document.createElement(&quot;table&quot;)\n", "                            childTable.className = &quot;dataframe&quot;\n", "                            childTable.id = &quot;df_&quot; + frameId\n", "                            let childDf = rootDf.childFrames[frameId]\n", "                            childTable.df = childDf\n", "                            td.appendChild(childTable)\n", "                            this.renderTable(frameId)\n", "                            if (childDf.nrow !== childDf.totalRows) {\n", "                                const footer = document.createElement(&quot;p&quot;)\n", "                                footer.innerText = `... showing only top ${childDf.nrow} of ${childDf.totalRows} rows`\n", "                                td.appendChild(footer)\n", "                            }\n", "                        } else {\n", "                            td.appendChild(link)\n", "                        }\n", "                    } else if (value.style !== undefined) {\n", "                        td.innerHTML = value.value\n", "                        td.setAttribute(&quot;style&quot;, value.style)\n", "                    } else td.innerHTML = value\n", "                    this.nodeScriptReplace(td)\n", "                }\n", "            }\n", "        }\n", "\n", "        this.nodeScriptReplace = function (node) {\n", "            if (this.nodeScriptIs(node) === true) {\n", "                node.parentNode.replaceChild(this.nodeScriptClone(node), node);\n", "            } else {\n", "                let i = -1, children = node.childNodes;\n", "                while (++i &lt; children.length) {\n", "                    this.nodeScriptReplace(children[i]);\n", "                }\n", "            }\n", "\n", "            return node;\n", "        }\n", "\n", "        this.nodeScriptClone = function (node) {\n", "            let script = document.createElement(&quot;script&quot;);\n", "            script.text = node.innerHTML;\n", "\n", "            let i = -1, attrs = node.attributes, attr;\n", "            while (++i &lt; attrs.length) {\n", "                script.setAttribute((attr = attrs[i]).name, attr.value);\n", "            }\n", "            return script;\n", "        }\n", "\n", "        this.nodeScriptIs = function (node) {\n", "            return node.tagName === 'SCRIPT';\n", "        }\n", "    })()\n", "\n", "    window.call_DataFrame = function (f) {\n", "        return f();\n", "    };\n", "\n", "    let funQueue = window[&quot;kotlinQueues&quot;] &amp;&amp; window[&quot;kotlinQueues&quot;][&quot;DataFrame&quot;];\n", "    if (funQueue) {\n", "        funQueue.forEach(function (f) {\n", "            f();\n", "        });\n", "        funQueue = [];\n", "    }\n", "})()\n", "\n", "&sol;*&lt;!--*&sol;\n", "call_DataFrame(function() { DataFrame.addTable({ cols: [{ name: &quot;&lt;span title=&bsol;&quot;distribution: String&bsol;&quot;&gt;distribution&lt;&sol;span&gt;&quot;, children: [], rightAlign: false, values: [&quot;All 1&amp;#39;s&quot;,&quot;All 6&amp;#39;s&quot;,&quot;Even buckets - All fail&quot;,&quot;Even buckets - All succed&quot;,&quot;Even buckets - Half succeed&quot;,&quot;Scewed towards bottom&quot;,&quot;Scewed towards top&quot;,&quot;Random (4+)&quot;,&quot;Random 1&quot;,&quot;Random 2&quot;,&quot;Random 3&quot;] }, \n", "{ name: &quot;&lt;span title=&bsol;&quot;jsd: Double&bsol;&quot;&gt;jsd&lt;&sol;span&gt;&quot;, children: [], rightAlign: true, values: [&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.654858&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.654858&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.055145&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.059779&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.002482&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.006924&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.004032&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.005037&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;] }, \n", "{ name: &quot;&lt;span title=&bsol;&quot;adjustedJSD: Double&bsol;&quot;&gt;adjustedJSD&lt;&sol;span&gt;&quot;, children: [], rightAlign: true, values: [&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;1.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;1.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;1.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.915791&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.908715&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.996210&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.989426&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.993842&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.992308&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;] }, \n", "{ name: &quot;&lt;span title=&bsol;&quot;FFB Luck: Double&bsol;&quot;&gt;FFB Luck&lt;&sol;span&gt;&quot;, children: [], rightAlign: true, values: [&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;1.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;1.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.500000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.284483&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.691604&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.491667&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.424620&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.512951&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.596568&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;] }, \n", "{ name: &quot;&lt;span title=&bsol;&quot;zScore: Double?&bsol;&quot;&gt;zScore&lt;&sol;span&gt;&quot;, children: [], rightAlign: true, values: [&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;-11.962754&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;11.867150&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;null&bsol;&quot;&gt;null&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;null&bsol;&quot;&gt;null&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;-4.313146&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;4.044112&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;-0.182574&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;-1.858757&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.311458&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;1.576281&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;] }, \n", "{ name: &quot;&lt;span title=&bsol;&quot;normalDist%: Double?&bsol;&quot;&gt;normalDist%&lt;&sol;span&gt;&quot;, children: [], rightAlign: true, values: [&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;-0.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;null&bsol;&quot;&gt;null&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;null&bsol;&quot;&gt;null&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;50.000000&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;-0.000805&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.002626&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;-42.756607&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;-3.153082&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;37.772629&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;5.748050&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;] }, \n", "{ name: &quot;&lt;span title=&bsol;&quot;luckSym: Any&bsol;&quot;&gt;luckSym&lt;&sol;span&gt;&quot;, children: [], rightAlign: false, values: [&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;-100.0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;100.0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;-100.0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;100.0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;-100.0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;100.0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;-14.4&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;-93.6&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;24.3&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;88.3&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;] }, \n", "{ name: &quot;&lt;span title=&bsol;&quot;luckSymPercentile: Any&bsol;&quot;&gt;luckSymPercentile&lt;&sol;span&gt;&quot;, children: [], rightAlign: false, values: [&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;100.0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;100.0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;50.0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;0.0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;100.0&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;42.8&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;3.2&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;62.2&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;,&quot;&lt;span class=&bsol;&quot;formatted&bsol;&quot; title=&bsol;&quot;&bsol;&quot;&gt;&lt;span class=&bsol;&quot;numbers&bsol;&quot;&gt;94.2&lt;&sol;span&gt;&lt;&sol;span&gt;&quot;] }, \n", "], id: -1157627882, rootId: -1157627882, totalRows: 11 } ) });\n", "&sol;*--&gt;*&sol;\n", "\n", "call_DataFrame(function() { DataFrame.renderTable(-1157627882) });\n", "\n", "\n", "        &lt;&sol;script&gt;\n", "        &lt;&sol;html&gt;\"></iframe>\n", "            <script>\n", "                function o_resize_iframe_out_12() {\n", "                    let elem = document.getElementById(\"iframe_out_12\");\n", "                    resize_iframe_out_12(elem);\n", "                    setInterval(resize_iframe_out_12, 5000, elem);\n", "                }\n", "                function resize_iframe_out_12(el) {\n", "                    let h = el.contentWindow.document.body.scrollHeight;\n", "                    el.height = h === 0 ? 0 : h + 41;\n", "                }\n", "            </script>        <html theme='dark'>\n", "        <head>\n", "            <style type=\"text/css\">\n", "                :root {\n", "    --background: #fff;\n", "    --background-odd: #f5f5f5;\n", "    --background-hover: #d9edfd;\n", "    --header-text-color: #474747;\n", "    --text-color: #848484;\n", "    --text-color-dark: #000;\n", "    --text-color-medium: #737373;\n", "    --text-color-pale: #b3b3b3;\n", "    --inner-border-color: #aaa;\n", "    --bold-border-color: #000;\n", "    --link-color: #296eaa;\n", "    --link-color-pale: #296eaa;\n", "    --link-hover: #1a466c;\n", "}\n", "\n", ":root[theme=\"dark\"], :root [data-jp-theme-light=\"false\"], .dataframe_dark{\n", "    --background: #303030;\n", "    --background-odd: #3c3c3c;\n", "    --background-hover: #464646;\n", "    --header-text-color: #dddddd;\n", "    --text-color: #b3b3b3;\n", "    --text-color-dark: #dddddd;\n", "    --text-color-medium: #b2b2b2;\n", "    --text-color-pale: #737373;\n", "    --inner-border-color: #707070;\n", "    --bold-border-color: #777777;\n", "    --link-color: #008dc0;\n", "    --link-color-pale: #97e1fb;\n", "    --link-hover: #00688e;\n", "}\n", "\n", "p.dataframe_description {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe {\n", "    font-family: \"Helvetica Neue\", Helvetica, Arial, sans-serif;\n", "    font-size: 12px;\n", "    background-color: var(--background);\n", "    color: var(--text-color-dark);\n", "    border: none;\n", "    border-collapse: collapse;\n", "}\n", "\n", "table.dataframe th, td {\n", "    padding: 6px;\n", "    border: 1px solid transparent;\n", "    text-align: left;\n", "}\n", "\n", "table.dataframe th {\n", "    background-color: var(--background);\n", "    color: var(--header-text-color);\n", "}\n", "\n", "table.dataframe td {\n", "    vertical-align: top;\n", "    white-space: nowrap;\n", "}\n", "\n", "table.dataframe th.bottomBorder {\n", "    border-bottom-color: var(--bold-border-color);\n", "}\n", "\n", "table.dataframe tbody > tr:nth-child(odd) {\n", "    background: var(--background-odd);\n", "}\n", "\n", "table.dataframe tbody > tr:nth-child(even) {\n", "    background: var(--background);\n", "}\n", "\n", "table.dataframe tbody > tr:hover {\n", "    background: var(--background-hover);\n", "}\n", "\n", "table.dataframe a {\n", "    cursor: pointer;\n", "    color: var(--link-color);\n", "    text-decoration: none;\n", "}\n", "\n", "table.dataframe tr:hover > td a {\n", "    color: var(--link-color-pale);\n", "}\n", "\n", "table.dataframe a:hover {\n", "    color: var(--link-hover);\n", "    text-decoration: underline;\n", "}\n", "\n", "table.dataframe img {\n", "    max-width: fit-content;\n", "}\n", "\n", "table.dataframe th.complex {\n", "    background-color: var(--background);\n", "    border: 1px solid var(--background);\n", "}\n", "\n", "table.dataframe .leftBorder {\n", "    border-left-color: var(--inner-border-color);\n", "}\n", "\n", "table.dataframe .rightBorder {\n", "    border-right-color: var(--inner-border-color);\n", "}\n", "\n", "table.dataframe .rightAlign {\n", "    text-align: right;\n", "}\n", "\n", "table.dataframe .expanderSvg {\n", "    width: 8px;\n", "    height: 8px;\n", "    margin-right: 3px;\n", "}\n", "\n", "table.dataframe .expander {\n", "    display: flex;\n", "    align-items: center;\n", "}\n", "\n", "/* formatting */\n", "\n", "table.dataframe .null {\n", "    color: var(--text-color-pale);\n", "}\n", "\n", "table.dataframe .structural {\n", "    color: var(--text-color-medium);\n", "    font-weight: bold;\n", "}\n", "\n", "table.dataframe .dataFrameCaption {\n", "    font-weight: bold;\n", "}\n", "\n", "table.dataframe .numbers {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe td:hover .formatted .structural, .null {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "table.dataframe tr:hover .formatted .structural, .null {\n", "    color: var(--text-color-dark);\n", "}\n", "\n", "\n", "            </style>\n", "        </head>\n", "        <body>\n", "            <table class=\"dataframe\" id=\"static_df_-1157627881\"><thead><tr><th class=\"bottomBorder\" style=\"text-align:left\">distribution</th><th class=\"bottomBorder\" style=\"text-align:left\">jsd</th><th class=\"bottomBorder\" style=\"text-align:left\">adjustedJSD</th><th class=\"bottomBorder\" style=\"text-align:left\">FFB Luck</th><th class=\"bottomBorder\" style=\"text-align:left\">zScore</th><th class=\"bottomBorder\" style=\"text-align:left\">normalDist%</th><th class=\"bottomBorder\" style=\"text-align:left\">luckSym</th><th class=\"bottomBorder\" style=\"text-align:left\">luckSymPercentile</th></tr></thead><tbody><tr><td  style=\"vertical-align:top\">All 1&#39;s</td><td  style=\"vertical-align:top\">0.654858</td><td  style=\"vertical-align:top\">0.000000</td><td  style=\"vertical-align:top\">0.000000</td><td  style=\"vertical-align:top\">-11.962754</td><td  style=\"vertical-align:top\">-0.000000</td><td  style=\"vertical-align:top\">-100.000000</td><td  style=\"vertical-align:top\">0.000000</td></tr><tr><td  style=\"vertical-align:top\">All 6&#39;s</td><td  style=\"vertical-align:top\">0.654858</td><td  style=\"vertical-align:top\">0.000000</td><td  style=\"vertical-align:top\">1.000000</td><td  style=\"vertical-align:top\">11.867150</td><td  style=\"vertical-align:top\">0.000000</td><td  style=\"vertical-align:top\">100.000000</td><td  style=\"vertical-align:top\">100.000000</td></tr><tr><td  style=\"vertical-align:top\">Even buckets - All fail</td><td  style=\"vertical-align:top\">0.000000</td><td  style=\"vertical-align:top\">1.000000</td><td  style=\"vertical-align:top\">0.000000</td><td  style=\"vertical-align:top\">null</td><td  style=\"vertical-align:top\">null</td><td  style=\"vertical-align:top\">-100.000000</td><td  style=\"vertical-align:top\">0.000000</td></tr><tr><td  style=\"vertical-align:top\">Even buckets - All succed</td><td  style=\"vertical-align:top\">0.000000</td><td  style=\"vertical-align:top\">1.000000</td><td  style=\"vertical-align:top\">1.000000</td><td  style=\"vertical-align:top\">null</td><td  style=\"vertical-align:top\">null</td><td  style=\"vertical-align:top\">100.000000</td><td  style=\"vertical-align:top\">100.000000</td></tr><tr><td  style=\"vertical-align:top\">Even buckets - Half succeed</td><td  style=\"vertical-align:top\">0.000000</td><td  style=\"vertical-align:top\">1.000000</td><td  style=\"vertical-align:top\">0.500000</td><td  style=\"vertical-align:top\">0.000000</td><td  style=\"vertical-align:top\">50.000000</td><td  style=\"vertical-align:top\">0.000000</td><td  style=\"vertical-align:top\">50.000000</td></tr><tr><td  style=\"vertical-align:top\">Scewed towards bottom</td><td  style=\"vertical-align:top\">0.055145</td><td  style=\"vertical-align:top\">0.915791</td><td  style=\"vertical-align:top\">0.284483</td><td  style=\"vertical-align:top\">-4.313146</td><td  style=\"vertical-align:top\">-0.000805</td><td  style=\"vertical-align:top\">-99.998497</td><td  style=\"vertical-align:top\">0.000751</td></tr><tr><td  style=\"vertical-align:top\">Scewed towards top</td><td  style=\"vertical-align:top\">0.059779</td><td  style=\"vertical-align:top\">0.908715</td><td  style=\"vertical-align:top\">0.691604</td><td  style=\"vertical-align:top\">4.044112</td><td  style=\"vertical-align:top\">0.002626</td><td  style=\"vertical-align:top\">99.995101</td><td  style=\"vertical-align:top\">99.997551</td></tr><tr><td  style=\"vertical-align:top\">Random (4+)</td><td  style=\"vertical-align:top\">0.002482</td><td  style=\"vertical-align:top\">0.996210</td><td  style=\"vertical-align:top\">0.491667</td><td  style=\"vertical-align:top\">-0.182574</td><td  style=\"vertical-align:top\">-42.756607</td><td  style=\"vertical-align:top\">-14.417840</td><td  style=\"vertical-align:top\">42.791080</td></tr><tr><td  style=\"vertical-align:top\">Random 1</td><td  style=\"vertical-align:top\">0.006924</td><td  style=\"vertical-align:top\">0.989426</td><td  style=\"vertical-align:top\">0.424620</td><td  style=\"vertical-align:top\">-1.858757</td><td  style=\"vertical-align:top\">-3.153082</td><td  style=\"vertical-align:top\">-93.573787</td><td  style=\"vertical-align:top\">3.213106</td></tr><tr><td  style=\"vertical-align:top\">Random 2</td><td  style=\"vertical-align:top\">0.004032</td><td  style=\"vertical-align:top\">0.993842</td><td  style=\"vertical-align:top\">0.512951</td><td  style=\"vertical-align:top\">0.311458</td><td  style=\"vertical-align:top\">37.772629</td><td  style=\"vertical-align:top\">24.336664</td><td  style=\"vertical-align:top\">62.168332</td></tr><tr><td  style=\"vertical-align:top\">Random 3</td><td  style=\"vertical-align:top\">0.005037</td><td  style=\"vertical-align:top\">0.992308</td><td  style=\"vertical-align:top\">0.596568</td><td  style=\"vertical-align:top\">1.576281</td><td  style=\"vertical-align:top\">5.748050</td><td  style=\"vertical-align:top\">88.322126</td><td  style=\"vertical-align:top\">94.161063</td></tr></tbody></table>\n", "        </body>\n", "        <script>\n", "            document.getElementById(\"static_df_-1157627881\").style.display = \"none\";\n", "        </script>\n", "        </html>" ],
        "application/kotlindataframe+json" : "{\"$version\":\"2.1.1\",\"metadata\":{\"columns\":[\"distribution\",\"jsd\",\"adjustedJSD\",\"FFB Luck\",\"zScore\",\"normalDist%\",\"luckSym\",\"luckSymPercentile\"],\"types\":[{\"kind\":\"ValueColumn\",\"type\":\"kotlin.String\"},{\"kind\":\"ValueColumn\",\"type\":\"kotlin.Double\"},{\"kind\":\"ValueColumn\",\"type\":\"kotlin.Double\"},{\"kind\":\"ValueColumn\",\"type\":\"kotlin.Double\"},{\"kind\":\"ValueColumn\",\"type\":\"kotlin.Double?\"},{\"kind\":\"ValueColumn\",\"type\":\"kotlin.Double?\"},{\"kind\":\"ValueColumn\",\"type\":\"kotlin.Any\"},{\"kind\":\"ValueColumn\",\"type\":\"kotlin.Any\"}],\"nrow\":11,\"ncol\":8},\"kotlin_dataframe\":[{\"distribution\":\"All 1's\",\"jsd\":0.6548575458269756,\"adjustedJSD\":4.119314821038707E-11,\"FFB Luck\":0.0,\"zScore\":-11.962753722931613,\"normalDist%\":-0.0,\"luckSym\":\"-100.0\",\"luckSymPercentile\":\"0.0\"},{\"distribution\":\"All 6's\",\"jsd\":0.6548575458269756,\"adjustedJSD\":4.119314821038707E-11,\"FFB Luck\":1.0,\"zScore\":11.867149605784947,\"normalDist%\":0.0,\"luckSym\":\"100.0000000000004\",\"luckSymPercentile\":\"100.0000000000002\"},{\"distribution\":\"Even buckets - All fail\",\"jsd\":0.0,\"adjustedJSD\":1.0,\"FFB Luck\":0.0,\"zScore\":null,\"normalDist%\":null,\"luckSym\":\"-100.0\",\"luckSymPercentile\":\"0.0\"},{\"distribution\":\"Even buckets - All succed\",\"jsd\":0.0,\"adjustedJSD\":1.0,\"FFB Luck\":1.0,\"zScore\":null,\"normalDist%\":null,\"luckSym\":\"100.0\",\"luckSymPercentile\":\"100.0\"},{\"distribution\":\"Even buckets - Half succeed\",\"jsd\":0.0,\"adjustedJSD\":1.0,\"FFB Luck\":0.5,\"zScore\":0.0,\"normalDist%\":50.0,\"luckSym\":\"2.220446049250313E-14\",\"luckSymPercentile\":\"50.000000000000014\"},{\"distribution\":\"Scewed towards bottom\",\"jsd\":0.05514474124552049,\"adjustedJSD\":0.9157912410123433,\"FFB Luck\":0.28448275862068995,\"zScore\":-4.313146128651913,\"normalDist%\":-8.047383087683713E-4,\"luckSym\":\"-99.99849725580138\",\"luckSymPercentile\":\"7.513720993088668E-4\"},{\"distribution\":\"Scewed towards top\",\"jsd\":0.05977887473465095,\"adjustedJSD\":0.9087146889914467,\"FFB Luck\":0.6916043225270161,\"zScore\":4.044111609448659,\"normalDist%\":0.0026260948221668023,\"luckSym\":\"99.99510121798447\",\"luckSymPercentile\":\"99.99755060899224\"},{\"distribution\":\"Random (4+)\",\"jsd\":0.0024820077233640193,\"adjustedJSD\":0.9962098509221087,\"FFB Luck\":0.49166666666666664,\"zScore\":-0.18257418583505536,\"normalDist%\":-42.7566070292353,\"luckSym\":\"-14.417840078891997\",\"luckSymPercentile\":\"42.791079960554\"},{\"distribution\":\"Random 1\",\"jsd\":0.006924380262487557,\"adjustedJSD\":0.98942612739687,\"FFB Luck\":0.4246201791975073,\"zScore\":-1.8587566552180916,\"normalDist%\":-3.153081943852709,\"luckSym\":\"-93.5737874558042\",\"luckSymPercentile\":\"3.2131062720979027\"},{\"distribution\":\"Random 2\",\"jsd\":0.004032435849078475,\"adjustedJSD\":0.9938422701625094,\"FFB Luck\":0.5129514775629337,\"zScore\":0.31145784309268787,\"normalDist%\":37.772629324558004,\"luckSym\":\"24.336664151898812\",\"luckSymPercentile\":\"62.16833207594941\"},{\"distribution\":\"Random 3\",\"jsd\":0.005037249228076367,\"adjustedJSD\":0.9923078702224883,\"FFB Luck\":0.5965682362330412,\"zScore\":1.5762812492341312,\"normalDist%\":5.7480500483650605,\"luckSym\":\"88.32212628082203\",\"luckSymPercentile\":\"94.16106314041102\"}]}"
      },
      "execution_count" : 11,
      "metadata" : { },
      "output_type" : "execute_result"
    } ],
    "execution_count" : 11
  } ],
  "metadata" : {
    "kernelspec" : {
      "display_name" : "Kotlin",
      "language" : "kotlin",
      "name" : "kotlin"
    },
    "language_info" : {
      "name" : "kotlin",
      "version" : "2.2.20-Beta2",
      "mimetype" : "text/x-kotlin",
      "file_extension" : ".kt",
      "pygments_lexer" : "kotlin",
      "codemirror_mode" : "text/x-kotlin",
      "nbconvert_exporter" : ""
    }
  },
  "nbformat" : 4,
  "nbformat_minor" : 0
}