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Day 12
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": { | |
"collapsed": true, | |
"ExecuteTime": { | |
"end_time": "2023-12-12T16:07:31.841695700Z", | |
"start_time": "2023-12-12T16:07:31.048696900Z" | |
} | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/html": " <iframe onload=\"o_resize_iframe_out_1()\" style=\"width:100%;\" class=\"result_container\" id=\"iframe_out_1\" frameBorder=\"0\" srcdoc=\" <html>\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\np.dataframe_description {\n color: var(--text-color-dark);\n}\n\ntable.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\ntable.dataframe th, td {\n padding: 6px;\n border: 1px solid transparent;\n text-align: left;\n}\n\ntable.dataframe th {\n background-color: var(--background);\n color: var(--header-text-color);\n}\n\ntable.dataframe td {\n vertical-align: top;\n}\n\ntable.dataframe th.bottomBorder {\n border-bottom-color: var(--bold-border-color);\n}\n\ntable.dataframe tbody > tr:nth-child(odd) {\n background: var(--background-odd);\n}\n\ntable.dataframe tbody > tr:nth-child(even) {\n background: var(--background);\n}\n\ntable.dataframe tbody > tr:hover {\n background: var(--background-hover);\n}\n\ntable.dataframe a {\n cursor: pointer;\n color: var(--link-color);\n text-decoration: none;\n}\n\ntable.dataframe tr:hover > td a {\n color: var(--link-color-pale);\n}\n\ntable.dataframe a:hover {\n color: var(--link-hover);\n text-decoration: underline;\n}\n\ntable.dataframe img {\n max-width: fit-content;\n}\n\ntable.dataframe th.complex {\n background-color: var(--background);\n border: 1px solid var(--background);\n}\n\ntable.dataframe .leftBorder {\n border-left-color: var(--inner-border-color);\n}\n\ntable.dataframe .rightBorder {\n border-right-color: var(--inner-border-color);\n}\n\ntable.dataframe .rightAlign {\n text-align: right;\n}\n\ntable.dataframe .expanderSvg {\n width: 8px;\n height: 8px;\n margin-right: 3px;\n}\n\ntable.dataframe .expander {\n display: flex;\n align-items: center;\n}\n\n/* formatting */\n\ntable.dataframe .null {\n color: var(--text-color-pale);\n}\n\ntable.dataframe .structural {\n color: var(--text-color-medium);\n font-weight: bold;\n}\n\ntable.dataframe .dataFrameCaption {\n font-weight: bold;\n}\n\ntable.dataframe .numbers {\n color: var(--text-color-dark);\n}\n\ntable.dataframe td:hover .formatted .structural, .null {\n color: var(--text-color-dark);\n}\n\ntable.dataframe tr:hover .formatted .structural, .null {\n color: var(--text-color-dark);\n}\n\n\n\n\n:root {\n --scroll-bg: #f5f5f5;\n --scroll-fg: #b3b3b3;\n}\n:root[theme="dark"], :root [data-jp-theme-light="false"]{\n --scroll-bg: #3c3c3c;\n --scroll-fg: #97e1fb;\n}\nbody {\n scrollbar-color: var(--scroll-fg) var(--scroll-bg);\n}\nbody::-webkit-scrollbar {\n width: 10px; /* Mostly for vertical scrollbars */\n height: 10px; /* Mostly for horizontal scrollbars */\n}\nbody::-webkit-scrollbar-thumb {\n background-color: var(--scroll-fg);\n}\nbody::-webkit-scrollbar-track {\n background-color: var(--scroll-bg);\n}\n </style>\n </head>\n <body>\n \n<table class="dataframe" id="df_-1912602624"></table>\n\n<p class="dataframe_description">DataFrame: rowsCount = 11, columnsCount = 13</p>\n\n </body>\n <script>\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 < 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 < df.cols.length; i++) {\n if (df.cols[i].values.length > 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 < df.cols.length; i++) {\n let col = df.cols[i]\n if (col.parent === undefined && col.children.length > 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 < 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 < result.length; i++) {\n let row = result[i]\n for (let j = 0; j < row.length; j++) {\n let cell = row[j]\n if (j === 0)\n cell.leftBd = false\n if (j < 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 > 0) {\n let j = 0\n for (let i = 0; j < 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 < col.children.length; i++) {\n let child = col.children[i]\n let childLeft = i === 0 && (col.children.length > 1 || leftBorder)\n let childRight = i === col.children.length - 1 && (col.children.length > 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 < 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 > 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("df_" + id)\n }\n\n this.getTableData = function (id) {\n return this.getTableElement(id).df\n }\n\n this.createExpander = function (isExpanded) {\n const svgNs = "http://www.w3.org/2000/svg"\n let svg = document.createElementNS(svgNs, "svg")\n svg.classList.add("expanderSvg")\n let path = document.createElementNS(svgNs, "path")\n if (isExpanded) {\n svg.setAttribute("viewBox", "0 -2 8 8")\n path.setAttribute("d", "M1 0 l-1 1 4 4 4 -4 -1 -1 -3 3Z")\n } else {\n svg.setAttribute("viewBox", "-2 0 8 8")\n path.setAttribute("d", "M1 0 l-1 1 3 3 -3 3 1 1 4 -4Z")\n }\n path.setAttribute("fill", "currentColor")\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 = ""\n\n let df = table.df\n let rootDf = df.rootId === df.id ? df : this.getTableData(df.rootId)\n\n // header\n let header = document.createElement("thead")\n table.appendChild(header)\n\n let renderData = this.computeRenderData(df)\n for (let j = 0; j < renderData.length; j++) {\n let rowData = renderData[j]\n let tr = document.createElement("tr");\n let isLastRow = j === renderData.length - 1\n header.appendChild(tr);\n for (let i = 0; i < rowData.length; i++) {\n let cell = rowData[i]\n let th = document.createElement("th");\n th.setAttribute("colspan", 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("a")\n link.className = "expander"\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 ? " leftBorder" : "") + (cell.rightBd ? " rightBorder" : "")\n if (col.rightAlign)\n classes += " rightAlign"\n if (isLastRow)\n classes += " bottomBorder"\n if (classes.length > 0)\n th.setAttribute("class", classes)\n tr.appendChild(th)\n }\n }\n\n // body\n let body = document.createElement("tbody")\n table.appendChild(body)\n\n let columns = renderData.pop()\n for (let row = 0; row < df.nrow; row++) {\n let tr = document.createElement("tr");\n body.appendChild(tr)\n for (let i = 0; i < columns.length; i++) {\n let cell = columns[i]\n let td = document.createElement("td");\n let colId = cell.id\n let col = df.cols[colId]\n let classes = (cell.leftBd ? " leftBorder" : "") + (cell.rightBd ? " rightBorder" : "")\n if (col.rightAlign)\n classes += " rightAlign"\n if (classes.length > 0)\n td.setAttribute("class", 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("a")\n link.className = "expander"\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("p"))\n const childTable = document.createElement("table")\n childTable.className = "dataframe"\n childTable.id = "df_" + 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("p")\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("style", 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 < 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("script");\n script.text = node.innerHTML;\n\n let i = -1, attrs = node.attributes, attr;\n while (++i < 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["kotlinQueues"] && window["kotlinQueues"]["DataFrame"];\n if (funQueue) {\n funQueue.forEach(function (f) {\n f();\n });\n funQueue = [];\n }\n})()\n\n/*<!--*/\ncall_DataFrame(function() { DataFrame.addTable({ cols: [{ name: "<span title=\" : Any\"> </span>", children: [], rightAlign: false, values: [".","#",".","#",".","#",".","#",".","#","."] }, \n{ name: "<span title=\"0\nE: Any\">0\nE</span>", children: [], rightAlign: false, values: ["<span class=\"formatted\" title=\"1\n1\"><span class=\"structural\">[</span><span class=\"numbers\">1</span><span class=\"structural\">, </span><span class=\"numbers\">1</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"0\n0\"><span class=\"structural\">[</span><span class=\"numbers\">0</span><span class=\"structural\">, </span><span class=\"numbers\">0</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"0\n0\"><span class=\"structural\">[</span><span class=\"numbers\">0</span><span class=\"structural\">, </span><span class=\"numbers\">0</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"0\n0\"><span class=\"structural\">[</span><span class=\"numbers\">0</span><span class=\"structural\">, </span><span class=\"numbers\">0</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"0\n0\"><span class=\"structural\">[</span><span class=\"numbers\">0</span><span class=\"structural\">, </span><span class=\"numbers\">0</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"0\n0\"><span class=\"structural\">[</span><span class=\"numbers\">0</span><span class=\"structural\">, </span><span class=\"numbers\">0</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"0\n0\"><span class=\"structural\">[</span><span class=\"numbers\">0</span><span class=\"structural\">, </span><span class=\"numbers\">0</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"0\n0\"><span class=\"structural\">[</span><span class=\"numbers\">0</span><span class=\"structural\">, </span><span class=\"numbers\">0</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"0\n0\"><span class=\"structural\">[</span><span class=\"numbers\">0</span><span class=\"structural\">, </span><span class=\"numbers\">0</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"0\n0\"><span class=\"structural\">[</span><span class=\"numbers\">0</span><span class=\"structural\">, </span><span class=\"numbers\">0</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"0\n0\"><span class=\"structural\">[</span><span class=\"numbers\">0</span><span class=\"structural\">, </span><span class=\"numbers\">0</span><span class=\"structural\">]</span></span>"] }, \n{ name: "<span title=\"1\n?: Any\">1\n?</span>", children: [], rightAlign: false, values: ["<span class=\"formatted\" title=\"1\n1\"><span class=\"structural\">[</span><span class=\"numbers\">1</span><span class=\"structural\">, </span><span class=\"numbers\">1</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"1\n1\"><span class=\"structural\">[</span><span class=\"numbers\">1</span><span class=\"structural\">, </span><span class=\"numbers\">1</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"0\n1\"><span class=\"structural\">[</span><span class=\"numbers\">0</span><span class=\"structural\">, </span><span class=\"numbers\">1</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"0\n0\"><span class=\"structural\">[</span><span class=\"numbers\">0</span><span class=\"structural\">, </span><span class=\"numbers\">0</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"0\n0\"><span class=\"structural\">[</span><span class=\"numbers\">0</span><span class=\"structural\">, </span><span class=\"numbers\">0</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"0\n0\"><span class=\"structural\">[</span><span class=\"numbers\">0</span><span class=\"structural\">, </span><span class=\"numbers\">0</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"0\n0\"><span class=\"structural\">[</span><span class=\"numbers\">0</span><span class=\"structural\">, </span><span class=\"numbers\">0</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"0\n0\"><span class=\"structural\">[</span><span class=\"numbers\">0</span><span class=\"structural\">, </span><span class=\"numbers\">0</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"0\n0\"><span class=\"structural\">[</span><span class=\"numbers\">0</span><span class=\"structural\">, </span><span class=\"numbers\">0</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"0\n0\"><span class=\"structural\">[</span><span class=\"numbers\">0</span><span class=\"structural\">, </span><span class=\"numbers\">0</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"0\n0\"><span class=\"structural\">[</span><span class=\"numbers\">0</span><span class=\"structural\">, </span><span class=\"numbers\">0</span><span class=\"structural\">]</span></span>"] }, \n{ name: "<span title=\"2\n?: Any\">2\n?</span>", children: [], rightAlign: false, values: ["<span class=\"formatted\" title=\"1\n1\"><span class=\"structural\">[</span><span class=\"numbers\">1</span><span class=\"structural\">, </span><span class=\"numbers\">1</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"1\n1\"><span class=\"structural\">[</span><span class=\"numbers\">1</span><span class=\"structural\">, </span><span class=\"numbers\">1</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"1\n2\"><span class=\"structural\">[</span><span class=\"numbers\">1</span><span class=\"structural\">, </span><span class=\"numbers\">2</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"0\n0\"><span class=\"structural\">[</span><span class=\"numbers\">0</span><span class=\"structural\">, </span><span class=\"numbers\">0</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"0\n0\"><span class=\"structural\">[</span><span class=\"numbers\">0</span><span class=\"structural\">, </span><span class=\"numbers\">0</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"0\n0\"><span class=\"structural\">[</span><span class=\"numbers\">0</span><span class=\"structural\">, </span><span class=\"numbers\">0</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"0\n0\"><span class=\"structural\">[</span><span class=\"numbers\">0</span><span class=\"structural\">, </span><span class=\"numbers\">0</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"0\n0\"><span class=\"structural\">[</span><span class=\"numbers\">0</span><span class=\"structural\">, </span><span class=\"numbers\">0</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"0\n0\"><span class=\"structural\">[</span><span class=\"numbers\">0</span><span class=\"structural\">, </span><span class=\"numbers\">0</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"0\n0\"><span class=\"structural\">[</span><span class=\"numbers\">0</span><span class=\"structural\">, </span><span class=\"numbers\">0</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"0\n0\"><span class=\"structural\">[</span><span class=\"numbers\">0</span><span class=\"structural\">, </span><span class=\"numbers\">0</span><span class=\"structural\">]</span></span>"] }, \n{ name: "<span title=\"3\n?: Any\">3\n?</span>", children: [], rightAlign: false, values: ["<span class=\"formatted\" title=\"1\n1\"><span class=\"structural\">[</span><span class=\"numbers\">1</span><span class=\"structural\">, </span><span class=\"numbers\">1</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"1\n1\"><span class=\"structural\">[</span><span class=\"numbers\">1</span><span class=\"structural\">, </span><span class=\"numbers\">1</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"2\n3\"><span class=\"structural\">[</span><span class=\"numbers\">2</span><span class=\"structural\">, </span><span class=\"numbers\">3</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"1\n1\"><span class=\"structural\">[</span><span class=\"numbers\">1</span><span class=\"structural\">, </span><span class=\"numbers\">1</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"0\n1\"><span class=\"structural\">[</span><span class=\"numbers\">0</span><span class=\"structural\">, </span><span class=\"numbers\">1</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"0\n0\"><span class=\"structural\">[</span><span class=\"numbers\">0</span><span class=\"structural\">, </span><span class=\"numbers\">0</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"0\n0\"><span class=\"structural\">[</span><span class=\"numbers\">0</span><span class=\"structural\">, </span><span class=\"numbers\">0</span><span class=\"structural\">]</span></span>","<span class=\"formatted\" title=\"0\n0\"><span class=\"structural\">[</span><span class=\"numbers\">0</span><span class=\"structural\">, 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class=\"formatted\" title=\"3\n6\"><span class=\"structural\">[</span><span class=\"numbers\">3</span><span class=\"structural\">, </span><span class=\"numbers\">6</span><span class=\"structural\">]</span></span>"] }, \n], id: -1912602624, rootId: -1912602624, totalRows: 11 } ) });\n/*-->*/\n\ncall_DataFrame(function() { DataFrame.renderTable(-1912602624) });\n\n\n\n </script>\n </html>\"></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>\n <head>\n <style type=\"text/css\">\n \n </style>\n </head>\n <body>\n <table class=\"dataframe\" id=\"static_df_-1912602623\"><thead><tr><th> </th><th>0\nE</th><th>1\n?</th><th>2\n?</th><th>3\n?</th><th>4\n?</th><th>5\n.</th><th>6\n?</th><th>7\n?</th><th>8\n#</th><th>9\n.</th><th>10\n?</th><th>11\n?</th></tr></thead><tbody><tr><td>.</td><td>[1, 1]</td><td>[1, 1]</td><td>[1, 1]</td><td>[1, 1]</td><td>[1, 1]</td><td>[1, 1]</td><td>[1, 1]</td><td>[1, 1]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td></tr><tr><td>#</td><td>[0, 0]</td><td>[1, 1]</td><td>[1, 1]</td><td>[1, 1]</td><td>[1, 1]</td><td>[0, 0]</td><td>[1, 1]</td><td>[1, 1]</td><td>[1, 1]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td></tr><tr><td>.</td><td>[0, 0]</td><td>[0, 1]</td><td>[1, 2]</td><td>[2, 3]</td><td>[3, 4]</td><td>[4, 4]</td><td>[4, 5]</td><td>[5, 6]</td><td>[0, 1]</td><td>[1, 1]</td><td>[1, 1]</td><td>[1, 1]</td></tr><tr><td>#</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[1, 1]</td><td>[2, 2]</td><td>[0, 0]</td><td>[4, 4]</td><td>[4, 4]</td><td>[5, 5]</td><td>[0, 0]</td><td>[1, 1]</td><td>[1, 1]</td></tr><tr><td>.</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 1]</td><td>[1, 3]</td><td>[3, 3]</td><td>[3, 7]</td><td>[7, 11]</td><td>[0, 5]</td><td>[5, 5]</td><td>[5, 6]</td><td>[6, 7]</td></tr><tr><td>#</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[3, 3]</td><td>[3, 3]</td><td>[7, 7]</td><td>[0, 0]</td><td>[5, 5]</td><td>[5, 5]</td></tr><tr><td>.</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 3]</td><td>[3, 6]</td><td>[0, 7]</td><td>[7, 7]</td><td>[7, 12]</td><td>[12, 17]</td></tr><tr><td>#</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[3, 3]</td><td>[0, 0]</td><td>[7, 7]</td><td>[7, 7]</td></tr><tr><td>.</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 3]</td><td>[3, 3]</td><td>[3, 10]</td><td>[10, 17]</td></tr><tr><td>#</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[3, 3]</td><td>[3, 3]</td></tr><tr><td>.</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 0]</td><td>[0, 3]</td><td>[3, 6]</td></tr></tbody></table>\n </body>\n <script>\n document.getElementById(\"static_df_-1912602623\").style.display = \"none\";\n </script>\n </html>", | |
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}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"text/plain": "6" | |
}, | |
"execution_count": 1, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"calcArrangements(\n", | |
" \"????.??#.??\",\n", | |
" listOf(1,1,1,1,1)\n", | |
") {\n", | |
" DISPLAY(it)\n", | |
"}" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "4" | |
}, | |
"execution_count": 2, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"fun Ag(n: Int, m: Int) = calcArrangements(\"?\".repeat(n), List(m) { 1 })\n", | |
"\n", | |
"Ag(6, 3)" | |
], | |
"metadata": { | |
"collapsed": false, | |
"ExecuteTime": { | |
"end_time": "2023-12-12T16:07:32.530700Z", | |
"start_time": "2023-12-12T16:07:31.787717600Z" | |
} | |
} | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"1 \r\n", | |
"2 0 \r\n", | |
"3 1 0 \r\n", | |
"4 3 0 0 \r\n", | |
"5 6 1 0 0 \r\n", | |
"6 10 4 0 0 0 \r\n", | |
"7 15 10 1 0 0 0 \r\n", | |
"8 21 20 5 0 0 0 0 \r\n", | |
"9 28 35 15 1 0 0 0 0 \r\n", | |
"10 36 56 35 6 0 0 0 0 0 \r\n", | |
"11 45 84 70 21 1 0 0 0 0 0 \r\n", | |
"12 55 120 126 56 7 0 0 0 0 0 0 \r\n", | |
"13 66 165 210 126 28 1 0 0 0 0 0 0 \r\n", | |
"14 78 220 330 252 84 8 0 0 0 0 0 0 0 \r\n", | |
"15 91 286 495 462 210 36 1 0 0 0 0 0 0 0 \r\n", | |
"16 105 364 715 792 462 120 9 0 0 0 0 0 0 0 0 \r\n" | |
] | |
} | |
], | |
"source": [ | |
"val N = 16\n", | |
"\n", | |
"for (i in 1..N) {\n", | |
" for (j in 1..i) {\n", | |
" print(\"${Ag(i, j)} \")\n", | |
" }\n", | |
" println()\n", | |
"}" | |
], | |
"metadata": { | |
"collapsed": false, | |
"ExecuteTime": { | |
"end_time": "2023-12-12T16:07:33.412699700Z", | |
"start_time": "2023-12-12T16:07:32.172699400Z" | |
} | |
} | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"1 \r\n", | |
"1 1 \r\n", | |
"1 2 1 \r\n", | |
"1 3 3 1 \r\n", | |
"1 4 6 4 1 \r\n", | |
"1 5 10 10 5 1 \r\n", | |
"1 6 15 20 15 6 1 \r\n", | |
"1 7 21 35 35 21 7 1 \r\n", | |
"1 8 28 56 70 56 28 8 1 \r\n", | |
"1 9 36 84 126 126 84 36 9 1 \r\n", | |
"1 10 45 120 210 252 210 120 45 10 1 \r\n", | |
"1 11 55 165 330 462 462 330 165 55 11 1 \r\n", | |
"1 12 66 220 495 792 924 792 495 220 66 12 1 \r\n", | |
"1 13 78 286 715 1287 1716 1716 1287 715 286 78 13 1 \r\n", | |
"1 14 91 364 1001 2002 3003 3432 3003 2002 1001 364 91 14 1 \r\n", | |
"1 15 105 455 1365 3003 5005 6435 6435 5005 3003 1365 455 105 15 1 \r\n" | |
] | |
} | |
], | |
"source": [ | |
"printPascalsTriangle(16)" | |
], | |
"metadata": { | |
"collapsed": false, | |
"ExecuteTime": { | |
"end_time": "2023-12-12T16:07:33.562700700Z", | |
"start_time": "2023-12-12T16:07:33.155702300Z" | |
} | |
} | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"outputs": [], | |
"source": [ | |
"fun plotFuns(xs: List<Int>, fns: List<(Int) -> Long>) =\n", | |
" plot {\n", | |
" val n = fns.size\n", | |
" line {\n", | |
" x(xs.repeatList(n))\n", | |
" y(fns.flatMap { f -> xs.map(f) })\n", | |
" color((1..n).flatMap { i -> List(xs.size) { i } })\n", | |
" }\n", | |
" }" | |
], | |
"metadata": { | |
"collapsed": false, | |
"ExecuteTime": { | |
"end_time": "2023-12-12T16:07:34.735701400Z", | |
"start_time": "2023-12-12T16:07:33.319704900Z" | |
} | |
} | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"outputs": [ | |
{ | |
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