Newton-Square-Roots.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Julia"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is a **notebook** interface to the technical-computing language **Julia**.  [Julia](http://julialang.org/) is a free dynamic, interactive language similar in spirit to Matlab or Python (+ SciPy/NumPy), with lots of built-in facilities for linear algebra and other numerics, but unlike those languages it *scales* to high-performance computing — Julia code compiles to perform similarly to C or Fortran.\n",
    "\n",
    "The notebook interface is called [IJulia](https://github.com/JuliaLang/IJulia.jl), and is provided by the [IPython](http://ipython.org/) project.  It allows us to mix formatted text, equations, figures, and interactivity with code and computation results.\n",
    "\n",
    "See: [notes on using Julia for MIT classes](https://github.com/stevengj/julia-mit)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Square Roots"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Although of course Julia has a built-in `sqrt(a)` function, here we will implement Newton's method for the square root, which corresponds to the iteration:\n",
    "$$ x_{n+1} = \\frac{1}{2} \\left( x_n + \\frac{a}{x_n} \\right)$$\n",
    "for $\\sqrt{a}$.   This is equivalent to Newton's method to find a root of $f(x) = x^2 - a$, in which we repeatedly approximate $f$ by its tangent at $x_n$ and find the root of the tangent line."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "iterate_sqrt (generic function with 1 method)"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# A Julia function to compute the n-th iterate of the Newton square-root algorithm starting with x\n",
    "function iterate_sqrt(a, n, x)\n",
    "    for i = 1:n\n",
    "        x = (x + a/x)/2\n",
    "    end\n",
    "    return x\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can easily see that this quickly converges just by running it a few times:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-2.220446049250313e-16"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "iterate_sqrt(2, 10, 1) - sqrt(2) # 10 iterations for sqrt(2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "But it is more fun to see this interactively, which we can do using the `Interact` package for Julia.  (*Note*: you will need to run `Pkg.add(\"Interact\")` to install `Interact` first.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "    <script class='js-collapse-script'>\n",
       "        var curMatch =\n",
       "            window.location.href\n",
       "            .match(/(.*?)\\/notebooks\\/.*\\.ipynb/);\n",
       "\n",
       "        curMatch = curMatch ||\n",
       "            window.location.href\n",
       "            .match(/(.*?)\\/apps\\/.*\\.ipynb/);\n",
       "\n",
       "        if ( curMatch ) {\n",
       "            $('head').append('<base href=\"' + curMatch[1] + '/\">');\n",
       "        }\n",
       "    </script>\n"
      ],
      "text/plain": [
       "HTML{String}(\"    <script class='js-collapse-script'>\\n        var curMatch =\\n            window.location.href\\n            .match(/(.*?)\\\\/notebooks\\\\/.*\\\\.ipynb/);\\n\\n        curMatch = curMatch ||\\n            window.location.href\\n            .match(/(.*?)\\\\/apps\\\\/.*\\\\.ipynb/);\\n\\n        if ( curMatch ) {\\n            \\$('head').append('<base href=\\\"' + curMatch[1] + '/\\\">');\\n        }\\n    </script>\\n\")"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<script class='js-collapse-script' src='/assetserver/1ddf0044e5053e123a52a2d10b9be1d8585101b2-assets/webio/dist/bundle.js'></script>"
      ],
      "text/plain": [
       "HTML{String}(\"<script class='js-collapse-script' src='/assetserver/1ddf0044e5053e123a52a2d10b9be1d8585101b2-assets/webio/dist/bundle.js'></script>\")"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<script class='js-collapse-script' src='/assetserver/1ddf0044e5053e123a52a2d10b9be1d8585101b2-assets/providers/ijulia_setup.js'></script>"
      ],
      "text/plain": [
       "HTML{String}(\"<script class='js-collapse-script' src='/assetserver/1ddf0044e5053e123a52a2d10b9be1d8585101b2-assets/providers/ijulia_setup.js'></script>\")"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "  <script class='js-collapse-script'>\n",
       "    $('.js-collapse-script').parent('.output_subarea').css('padding', '0');\n",
       "  </script>\n"
      ],
      "text/plain": [
       "HTML{String}(\"  <script class='js-collapse-script'>\\n    \\$('.js-collapse-script').parent('.output_subarea').css('padding', '0');\\n  </script>\\n\")"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div class='tex2jax_ignore interactbulma'>\n",
       "<div class='display:none'></div><unsafe-script style='display:none'>\n",
       "WebIO.mount(this.previousSibling,{&quot;props&quot;:{},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;div&quot;},&quot;children&quot;:[{&quot;props&quot;:{&quot;className&quot;:&quot;field&quot;},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;div&quot;},&quot;children&quot;:[{&quot;props&quot;:{},&quot;nodeType&quot;:&quot;Scope&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;imports&quot;:{&quot;data&quot;:[{&quot;name&quot;:&quot;knockout&quot;,&quot;type&quot;:&quot;js&quot;,&quot;url&quot;:&quot;/assetserver/429ea4842967203db7a2e10862642c116542d0e4-knockout.js&quot;},{&quot;name&quot;:&quot;knockout_punches&quot;,&quot;type&quot;:&quot;js&quot;,&quot;url&quot;:&quot;/assetserver/9998dbb29ca780269e6886a8c8c4b78bb9a73c26-knockout_punches.js&quot;},{&quot;name&quot;:null,&quot;type&quot;:&quot;js&quot;,&quot;url&quot;:&quot;/assetserver/6ee7ce3a8d8fbffe6a5785768ec923478100c144-all.js&quot;},{&quot;name&quot;:null,&quot;type&quot;:&quot;css&quot;,&quot;url&quot;:&quot;/assetserver/255cc2d911924b0ffa0f74016aac5f640f90a396-style.css&quot;},{&quot;name&quot;:null,&quot;type&quot;:&quot;css&quot;,&quot;url&quot;:&quot;/assetserver/66a9780e4509d09169a66d890937410d69e4da42-main.css&quot;}],&quot;type&quot;:&quot;async_block&quot;},&quot;id&quot;:&quot;knockout-component-22077278-9f1c-47f2-9e69-554f87f3fa1f&quot;,&quot;handlers&quot;:{&quot;_promises&quot;:{&quot;importsLoaded&quot;:[function (ko, koPunches) {\n",
       "    ko.punches.enableAll();\n",
       "    ko.bindingHandlers.numericValue = {\n",
       "        init : function(element, valueAccessor, allBindings, data, context) {\n",
       "            var stringified = ko.observable(ko.unwrap(valueAccessor()));\n",
       "            stringified.subscribe(function(value) {\n",
       "                var val = parseFloat(value);\n",
       "                if (!isNaN(val)) {\n",
       "                    valueAccessor()(val);\n",
       "                }\n",
       "            })\n",
       "            valueAccessor().subscribe(function(value) {\n",
       "                var str = JSON.stringify(value);\n",
       "                if ((str == &quot;0&quot;) &amp;&amp; ([&quot;-0&quot;, &quot;-0.&quot;].indexOf(stringified()) &gt;= 0))\n",
       "                     return;\n",
       "                 if ([&quot;null&quot;, &quot;&quot;].indexOf(str) &gt;= 0)\n",
       "                     return;\n",
       "                stringified(str);\n",
       "            })\n",
       "            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get(&#39;valueUpdate&#39;)}, context);\n",
       "        }\n",
       "    };\n",
       "    var json_data = JSON.parse(&quot;{\\&quot;changes\\&quot;:0,\\&quot;value\\&quot;:5}&quot;);\n",
       "    var self = this;\n",
       "    function AppViewModel() {\n",
       "        for (var key in json_data) {\n",
       "            var el = json_data[key];\n",
       "            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\n",
       "        }\n",
       "        \n",
       "        \n",
       "        [this[&quot;changes&quot;].subscribe((function (val){!(this.valueFromJulia[&quot;changes&quot;]) ? (WebIO.setval({&quot;name&quot;:&quot;changes&quot;,&quot;scope&quot;:&quot;knockout-component-22077278-9f1c-47f2-9e69-554f87f3fa1f&quot;,&quot;id&quot;:&quot;ob_02&quot;,&quot;type&quot;:&quot;observable&quot;},val)) : undefined; return this.valueFromJulia[&quot;changes&quot;]=false}),self),this[&quot;value&quot;].subscribe((function (val){!(this.valueFromJulia[&quot;value&quot;]) ? (WebIO.setval({&quot;name&quot;:&quot;value&quot;,&quot;scope&quot;:&quot;knockout-component-22077278-9f1c-47f2-9e69-554f87f3fa1f&quot;,&quot;id&quot;:&quot;ob_01&quot;,&quot;type&quot;:&quot;observable&quot;},val)) : undefined; return this.valueFromJulia[&quot;value&quot;]=false}),self)]\n",
       "        \n",
       "    }\n",
       "    self.model = new AppViewModel();\n",
       "    self.valueFromJulia = {};\n",
       "    for (var key in json_data) {\n",
       "        self.valueFromJulia[key] = false;\n",
       "    }\n",
       "    ko.applyBindings(self.model, self.dom);\n",
       "}\n",
       "]},&quot;changes&quot;:[(function (val){return (val!=this.model[&quot;changes&quot;]()) ? (this.valueFromJulia[&quot;changes&quot;]=true, this.model[&quot;changes&quot;](val)) : undefined})],&quot;value&quot;:[(function (val){return (val!=this.model[&quot;value&quot;]()) ? (this.valueFromJulia[&quot;value&quot;]=true, this.model[&quot;value&quot;](val)) : undefined})]},&quot;systemjs_options&quot;:null,&quot;observables&quot;:{&quot;changes&quot;:{&quot;sync&quot;:false,&quot;id&quot;:&quot;ob_02&quot;,&quot;value&quot;:0},&quot;value&quot;:{&quot;sync&quot;:true,&quot;id&quot;:&quot;ob_01&quot;,&quot;value&quot;:5}}},&quot;children&quot;:[{&quot;props&quot;:{&quot;attributes&quot;:{&quot;style&quot;:&quot;display:flex; justify-content:center; align-items:center;&quot;}},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;div&quot;},&quot;children&quot;:[{&quot;props&quot;:{&quot;attributes&quot;:{&quot;style&quot;:&quot;text-align:right;width:18%&quot;}},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;div&quot;},&quot;children&quot;:[{&quot;props&quot;:{&quot;className&quot;:&quot;interact &quot;,&quot;style&quot;:{&quot;padding&quot;:&quot;5px 10px 0px 10px&quot;}},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;label&quot;},&quot;children&quot;:[&quot;n&quot;]}]},{&quot;props&quot;:{&quot;attributes&quot;:{&quot;style&quot;:&quot;flex-grow:1; margin: 0 2%&quot;}},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;div&quot;},&quot;children&quot;:[{&quot;props&quot;:{&quot;max&quot;:10,&quot;min&quot;:0,&quot;attributes&quot;:{&quot;type&quot;:&quot;range&quot;,&quot;data-bind&quot;:&quot;numericValue: value, valueUpdate: &#39;input&#39;, event: {change : function () {this.changes(this.changes()+1)}}&quot;,&quot;orient&quot;:&quot;horizontal&quot;},&quot;step&quot;:1,&quot;className&quot;:&quot;slider slider is-fullwidth&quot;,&quot;style&quot;:{}},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;input&quot;},&quot;children&quot;:[]}]},{&quot;props&quot;:{&quot;attributes&quot;:{&quot;style&quot;:&quot;width:18%&quot;}},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;div&quot;},&quot;children&quot;:[{&quot;props&quot;:{&quot;attributes&quot;:{&quot;data-bind&quot;:&quot;text: value&quot;}},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;p&quot;},&quot;children&quot;:[]}]}]}]}]},{&quot;props&quot;:{},&quot;nodeType&quot;:&quot;Scope&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;imports&quot;:{&quot;data&quot;:[],&quot;type&quot;:&quot;async_block&quot;},&quot;id&quot;:&quot;scope-1f1595d2-4a38-4d19-b3d7-347fb495e251&quot;,&quot;handlers&quot;:{&quot;obs-output&quot;:[function (updated_htmlstr) {\n",
       "    var el = this.dom.querySelector(&quot;#out&quot;);\n",
       "    WebIO.propUtils.setInnerHtml(el, updated_htmlstr);\n",
       "}]},&quot;systemjs_options&quot;:null,&quot;observables&quot;:{&quot;obs-output&quot;:{&quot;sync&quot;:false,&quot;id&quot;:&quot;ob_05&quot;,&quot;value&quot;:&quot;&lt;div class=&#39;display:none&#39;&gt;&lt;/div&gt;&lt;unsafe-script style=&#39;display:none&#39;&gt;\\nWebIO.mount(this.previousSibling,{&amp;quot;props&amp;quot;:{&amp;quot;attributes&amp;quot;:{&amp;quot;style&amp;quot;:&amp;quot;display:flex; justify-content:center; align-items:center;&amp;quot;}},&amp;quot;nodeType&amp;quot;:&amp;quot;DOM&amp;quot;,&amp;quot;type&amp;quot;:&amp;quot;node&amp;quot;,&amp;quot;instanceArgs&amp;quot;:{&amp;quot;namespace&amp;quot;:&amp;quot;html&amp;quot;,&amp;quot;tag&amp;quot;:&amp;quot;div&amp;quot;},&amp;quot;children&amp;quot;:[{&amp;quot;props&amp;quot;:{&amp;quot;setInnerHtml&amp;quot;:&amp;quot;&amp;lt;pre&amp;gt;1.414213562373095&amp;lt;/pre&amp;gt;&amp;quot;},&amp;quot;nodeType&amp;quot;:&amp;quot;DOM&amp;quot;,&amp;quot;type&amp;quot;:&amp;quot;node&amp;quot;,&amp;quot;instanceArgs&amp;quot;:{&amp;quot;namespace&amp;quot;:&amp;quot;html&amp;quot;,&amp;quot;tag&amp;quot;:&amp;quot;div&amp;quot;},&amp;quot;children&amp;quot;:[]}]})&lt;/unsafe-script&gt;&quot;}}},&quot;children&quot;:[{&quot;props&quot;:{&quot;id&quot;:&quot;out&quot;,&quot;setInnerHtml&quot;:&quot;&lt;div class=&#39;display:none&#39;&gt;&lt;/div&gt;&lt;unsafe-script style=&#39;display:none&#39;&gt;\\nWebIO.mount(this.previousSibling,{&amp;quot;props&amp;quot;:{&amp;quot;attributes&amp;quot;:{&amp;quot;style&amp;quot;:&amp;quot;display:flex; justify-content:center; align-items:center;&amp;quot;}},&amp;quot;nodeType&amp;quot;:&amp;quot;DOM&amp;quot;,&amp;quot;type&amp;quot;:&amp;quot;node&amp;quot;,&amp;quot;instanceArgs&amp;quot;:{&amp;quot;namespace&amp;quot;:&amp;quot;html&amp;quot;,&amp;quot;tag&amp;quot;:&amp;quot;div&amp;quot;},&amp;quot;children&amp;quot;:[{&amp;quot;props&amp;quot;:{&amp;quot;setInnerHtml&amp;quot;:&amp;quot;&amp;lt;pre&amp;gt;1.414213562373095&amp;lt;/pre&amp;gt;&amp;quot;},&amp;quot;nodeType&amp;quot;:&amp;quot;DOM&amp;quot;,&amp;quot;type&amp;quot;:&amp;quot;node&amp;quot;,&amp;quot;instanceArgs&amp;quot;:{&amp;quot;namespace&amp;quot;:&amp;quot;html&amp;quot;,&amp;quot;tag&amp;quot;:&amp;quot;div&amp;quot;},&amp;quot;children&amp;quot;:[]}]})&lt;/unsafe-script&gt;&quot;},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;div&quot;},&quot;children&quot;:[]}]}]})</unsafe-script>\n",
       "</div>"
      ],
      "text/plain": [
       "Widget{:manipulate,Any}(OrderedDict{Symbol,Any}(:n=>Widget{:slider,Int64}(OrderedDict{Symbol,Any}(:changes=>Observable{Int64}(\"ob_02\", 0, Any[SyncCallback(Scope(\"knockout-component-22077278-9f1c-47f2-9e69-554f87f3fa1f\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"n\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>10,:min=>0,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(#= circular reference @-6 =#), nothing),\"value\"=>(Observable{Int64}(\"ob_01\", 5, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"value\"))), #g#15{##16#17{##3#5,Observable{Any}},Tuple{Observable{Int64}}}(##16#17{##3#5,Observable{Any}}(##3#5(), Observable{Any}(\"ob_03\", 1.41421, Any[])), (Observable{Int64}(#= circular reference @-4 =#),))]), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":5}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-22077278-9f1c-47f2-9e69-554f87f3fa1f\\\",\\\"id\\\":\\\"ob_02\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-22077278-9f1c-47f2-9e69-554f87f3fa1f\\\",\\\"id\\\":\\\"ob_01\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), SyncCallback(Scope(\"knockout-component-22077278-9f1c-47f2-9e69-554f87f3fa1f\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"n\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>10,:min=>0,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(#= circular reference @-7 =#), nothing),\"value\"=>(Observable{Int64}(\"ob_01\", 5, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"value\"))), #g#15{##16#17{##3#5,Observable{Any}},Tuple{Observable{Int64}}}(##16#17{##3#5,Observable{Any}}(##3#5(), Observable{Any}(\"ob_03\", 1.41421, Any[])), (Observable{Int64}(#= circular reference @-4 =#),))]), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":5}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-22077278-9f1c-47f2-9e69-554f87f3fa1f\\\",\\\"id\\\":\\\"ob_02\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-22077278-9f1c-47f2-9e69-554f87f3fa1f\\\",\\\"id\\\":\\\"ob_01\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), ##39#41{Scope,String}(Scope(\"knockout-component-22077278-9f1c-47f2-9e69-554f87f3fa1f\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"n\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>10,:min=>0,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(#= circular reference @-8 =#), nothing),\"value\"=>(Observable{Int64}(\"ob_01\", 5, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"value\"))), #g#15{##16#17{##3#5,Observable{Any}},Tuple{Observable{Int64}}}(##16#17{##3#5,Observable{Any}}(##3#5(), Observable{Any}(\"ob_03\", 1.41421, Any[])), (Observable{Int64}(#= circular reference @-4 =#),))]), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":5}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-22077278-9f1c-47f2-9e69-554f87f3fa1f\\\",\\\"id\\\":\\\"ob_02\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-22077278-9f1c-47f2-9e69-554f87f3fa1f\\\",\\\"id\\\":\\\"ob_01\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), \"changes\")))]),:value=>Observable{Int64}(\"ob_01\", 5, Any[SyncCallback(Scope(\"knockout-component-22077278-9f1c-47f2-9e69-554f87f3fa1f\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"n\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>10,:min=>0,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(\"ob_02\", 0, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"changes\")))]), nothing),\"value\"=>(Observable{Int64}(#= circular reference @-6 =#), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":5}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-22077278-9f1c-47f2-9e69-554f87f3fa1f\\\",\\\"id\\\":\\\"ob_02\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-22077278-9f1c-47f2-9e69-554f87f3fa1f\\\",\\\"id\\\":\\\"ob_01\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), SyncCallback(Scope(\"knockout-component-22077278-9f1c-47f2-9e69-554f87f3fa1f\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"n\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>10,:min=>0,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(\"ob_02\", 0, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"changes\")))]), nothing),\"value\"=>(Observable{Int64}(#= circular reference @-7 =#), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":5}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-22077278-9f1c-47f2-9e69-554f87f3fa1f\\\",\\\"id\\\":\\\"ob_02\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-22077278-9f1c-47f2-9e69-554f87f3fa1f\\\",\\\"id\\\":\\\"ob_01\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), ##39#41{Scope,String}(Scope(\"knockout-component-22077278-9f1c-47f2-9e69-554f87f3fa1f\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"n\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>10,:min=>0,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(\"ob_02\", 0, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"changes\")))]), nothing),\"value\"=>(Observable{Int64}(#= circular reference @-8 =#), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":5}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-22077278-9f1c-47f2-9e69-554f87f3fa1f\\\",\\\"id\\\":\\\"ob_02\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-22077278-9f1c-47f2-9e69-554f87f3fa1f\\\",\\\"id\\\":\\\"ob_01\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), \"value\"))), #g#15{##16#17{##3#5,Observable{Any}},Tuple{Observable{Int64}}}(##16#17{##3#5,Observable{Any}}(##3#5(), Observable{Any}(\"ob_03\", 1.41421, Any[])), (Observable{Int64}(#= circular reference @-4 =#),))])), Observable{Int64}(\"ob_01\", 5, Any[SyncCallback(Scope(\"knockout-component-22077278-9f1c-47f2-9e69-554f87f3fa1f\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"n\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>10,:min=>0,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(\"ob_02\", 0, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"changes\")))]), nothing),\"value\"=>(Observable{Int64}(#= circular reference @-6 =#), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":5}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-22077278-9f1c-47f2-9e69-554f87f3fa1f\\\",\\\"id\\\":\\\"ob_02\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-22077278-9f1c-47f2-9e69-554f87f3fa1f\\\",\\\"id\\\":\\\"ob_01\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), SyncCallback(Scope(\"knockout-component-22077278-9f1c-47f2-9e69-554f87f3fa1f\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"n\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>10,:min=>0,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(\"ob_02\", 0, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"changes\")))]), nothing),\"value\"=>(Observable{Int64}(#= circular reference @-7 =#), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":5}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-22077278-9f1c-47f2-9e69-554f87f3fa1f\\\",\\\"id\\\":\\\"ob_02\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-22077278-9f1c-47f2-9e69-554f87f3fa1f\\\",\\\"id\\\":\\\"ob_01\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), ##39#41{Scope,String}(Scope(\"knockout-component-22077278-9f1c-47f2-9e69-554f87f3fa1f\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"n\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>10,:min=>0,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(\"ob_02\", 0, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"changes\")))]), nothing),\"value\"=>(Observable{Int64}(#= circular reference @-8 =#), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":5}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-22077278-9f1c-47f2-9e69-554f87f3fa1f\\\",\\\"id\\\":\\\"ob_02\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-22077278-9f1c-47f2-9e69-554f87f3fa1f\\\",\\\"id\\\":\\\"ob_01\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), \"value\"))), #g#15{##16#17{##3#5,Observable{Any}},Tuple{Observable{Int64}}}(##16#17{##3#5,Observable{Any}}(##3#5(), Observable{Any}(\"ob_03\", 1.41421, Any[])), (Observable{Int64}(#= circular reference @-4 =#),))]), Scope(\"knockout-component-22077278-9f1c-47f2-9e69-554f87f3fa1f\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"n\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>10,:min=>0,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(\"ob_02\", 0, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"changes\")))]), nothing),\"value\"=>(Observable{Int64}(\"ob_01\", 5, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"value\"))), #g#15{##16#17{##3#5,Observable{Any}},Tuple{Observable{Int64}}}(##16#17{##3#5,Observable{Any}}(##3#5(), Observable{Any}(\"ob_03\", 1.41421, Any[])), (Observable{Int64}(#= circular reference @-4 =#),))]), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":5}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-22077278-9f1c-47f2-9e69-554f87f3fa1f\\\",\\\"id\\\":\\\"ob_02\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-22077278-9f1c-47f2-9e69-554f87f3fa1f\\\",\\\"id\\\":\\\"ob_01\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), ##52#53{#dom#14{##dom#12#13{Dict{Any,Any},DOM}},typeof(scope)}(#dom#14{##dom#12#13{Dict{Any,Any},DOM}}(##dom#12#13{Dict{Any,Any},DOM}(Dict{Any,Any}(:className=>\"field\"), DOM(:html, :div))), scope))), Observable{Any}(\"ob_03\", 1.414213562373095, Any[]), nothing, getfield(Main, Symbol(\"##4#6\")){Observable{Any}}(Observable{Any}(\"ob_03\", 1.414213562373095, Any[])))"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using Interact\n",
    "@manipulate for n = 0:10\n",
    "    iterate_sqrt(2, n, 1)\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Above, the accuracy is quickly limited by the fact that real numbers in Julia (like in most languages) default to **double-precision floating-point** values, or about **15 decimal digits**.  However, we can also use *arbitrary-precision* arithmetic to compute the result to more digits with the same code:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div class='tex2jax_ignore interactbulma'>\n",
       "<div class='display:none'></div><unsafe-script style='display:none'>\n",
       "WebIO.mount(this.previousSibling,{&quot;props&quot;:{},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;div&quot;},&quot;children&quot;:[{&quot;props&quot;:{&quot;className&quot;:&quot;field&quot;},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;div&quot;},&quot;children&quot;:[{&quot;props&quot;:{},&quot;nodeType&quot;:&quot;Scope&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;imports&quot;:{&quot;data&quot;:[{&quot;name&quot;:&quot;knockout&quot;,&quot;type&quot;:&quot;js&quot;,&quot;url&quot;:&quot;/assetserver/429ea4842967203db7a2e10862642c116542d0e4-knockout.js&quot;},{&quot;name&quot;:&quot;knockout_punches&quot;,&quot;type&quot;:&quot;js&quot;,&quot;url&quot;:&quot;/assetserver/9998dbb29ca780269e6886a8c8c4b78bb9a73c26-knockout_punches.js&quot;},{&quot;name&quot;:null,&quot;type&quot;:&quot;js&quot;,&quot;url&quot;:&quot;/assetserver/6ee7ce3a8d8fbffe6a5785768ec923478100c144-all.js&quot;},{&quot;name&quot;:null,&quot;type&quot;:&quot;css&quot;,&quot;url&quot;:&quot;/assetserver/255cc2d911924b0ffa0f74016aac5f640f90a396-style.css&quot;},{&quot;name&quot;:null,&quot;type&quot;:&quot;css&quot;,&quot;url&quot;:&quot;/assetserver/66a9780e4509d09169a66d890937410d69e4da42-main.css&quot;}],&quot;type&quot;:&quot;async_block&quot;},&quot;id&quot;:&quot;knockout-component-2c590104-8538-45a2-adbd-a092d728337c&quot;,&quot;handlers&quot;:{&quot;_promises&quot;:{&quot;importsLoaded&quot;:[function (ko, koPunches) {\n",
       "    ko.punches.enableAll();\n",
       "    ko.bindingHandlers.numericValue = {\n",
       "        init : function(element, valueAccessor, allBindings, data, context) {\n",
       "            var stringified = ko.observable(ko.unwrap(valueAccessor()));\n",
       "            stringified.subscribe(function(value) {\n",
       "                var val = parseFloat(value);\n",
       "                if (!isNaN(val)) {\n",
       "                    valueAccessor()(val);\n",
       "                }\n",
       "            })\n",
       "            valueAccessor().subscribe(function(value) {\n",
       "                var str = JSON.stringify(value);\n",
       "                if ((str == &quot;0&quot;) &amp;&amp; ([&quot;-0&quot;, &quot;-0.&quot;].indexOf(stringified()) &gt;= 0))\n",
       "                     return;\n",
       "                 if ([&quot;null&quot;, &quot;&quot;].indexOf(str) &gt;= 0)\n",
       "                     return;\n",
       "                stringified(str);\n",
       "            })\n",
       "            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get(&#39;valueUpdate&#39;)}, context);\n",
       "        }\n",
       "    };\n",
       "    var json_data = JSON.parse(&quot;{\\&quot;changes\\&quot;:0,\\&quot;value\\&quot;:10}&quot;);\n",
       "    var self = this;\n",
       "    function AppViewModel() {\n",
       "        for (var key in json_data) {\n",
       "            var el = json_data[key];\n",
       "            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\n",
       "        }\n",
       "        \n",
       "        \n",
       "        [this[&quot;changes&quot;].subscribe((function (val){!(this.valueFromJulia[&quot;changes&quot;]) ? (WebIO.setval({&quot;name&quot;:&quot;changes&quot;,&quot;scope&quot;:&quot;knockout-component-2c590104-8538-45a2-adbd-a092d728337c&quot;,&quot;id&quot;:&quot;ob_07&quot;,&quot;type&quot;:&quot;observable&quot;},val)) : undefined; return this.valueFromJulia[&quot;changes&quot;]=false}),self),this[&quot;value&quot;].subscribe((function (val){!(this.valueFromJulia[&quot;value&quot;]) ? (WebIO.setval({&quot;name&quot;:&quot;value&quot;,&quot;scope&quot;:&quot;knockout-component-2c590104-8538-45a2-adbd-a092d728337c&quot;,&quot;id&quot;:&quot;ob_06&quot;,&quot;type&quot;:&quot;observable&quot;},val)) : undefined; return this.valueFromJulia[&quot;value&quot;]=false}),self)]\n",
       "        \n",
       "    }\n",
       "    self.model = new AppViewModel();\n",
       "    self.valueFromJulia = {};\n",
       "    for (var key in json_data) {\n",
       "        self.valueFromJulia[key] = false;\n",
       "    }\n",
       "    ko.applyBindings(self.model, self.dom);\n",
       "}\n",
       "]},&quot;changes&quot;:[(function (val){return (val!=this.model[&quot;changes&quot;]()) ? (this.valueFromJulia[&quot;changes&quot;]=true, this.model[&quot;changes&quot;](val)) : undefined})],&quot;value&quot;:[(function (val){return (val!=this.model[&quot;value&quot;]()) ? (this.valueFromJulia[&quot;value&quot;]=true, this.model[&quot;value&quot;](val)) : undefined})]},&quot;systemjs_options&quot;:null,&quot;observables&quot;:{&quot;changes&quot;:{&quot;sync&quot;:false,&quot;id&quot;:&quot;ob_07&quot;,&quot;value&quot;:0},&quot;value&quot;:{&quot;sync&quot;:true,&quot;id&quot;:&quot;ob_06&quot;,&quot;value&quot;:10}}},&quot;children&quot;:[{&quot;props&quot;:{&quot;attributes&quot;:{&quot;style&quot;:&quot;display:flex; justify-content:center; align-items:center;&quot;}},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;div&quot;},&quot;children&quot;:[{&quot;props&quot;:{&quot;attributes&quot;:{&quot;style&quot;:&quot;text-align:right;width:18%&quot;}},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;div&quot;},&quot;children&quot;:[{&quot;props&quot;:{&quot;className&quot;:&quot;interact &quot;,&quot;style&quot;:{&quot;padding&quot;:&quot;5px 10px 0px 10px&quot;}},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;label&quot;},&quot;children&quot;:[&quot;n&quot;]}]},{&quot;props&quot;:{&quot;attributes&quot;:{&quot;style&quot;:&quot;flex-grow:1; margin: 0 2%&quot;}},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;div&quot;},&quot;children&quot;:[{&quot;props&quot;:{&quot;max&quot;:20,&quot;min&quot;:0,&quot;attributes&quot;:{&quot;type&quot;:&quot;range&quot;,&quot;data-bind&quot;:&quot;numericValue: value, valueUpdate: &#39;input&#39;, event: {change : function () {this.changes(this.changes()+1)}}&quot;,&quot;orient&quot;:&quot;horizontal&quot;},&quot;step&quot;:1,&quot;className&quot;:&quot;slider slider is-fullwidth&quot;,&quot;style&quot;:{}},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;input&quot;},&quot;children&quot;:[]}]},{&quot;props&quot;:{&quot;attributes&quot;:{&quot;style&quot;:&quot;width:18%&quot;}},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;div&quot;},&quot;children&quot;:[{&quot;props&quot;:{&quot;attributes&quot;:{&quot;data-bind&quot;:&quot;text: value&quot;}},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;p&quot;},&quot;children&quot;:[]}]}]}]}]},{&quot;props&quot;:{},&quot;nodeType&quot;:&quot;Scope&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;imports&quot;:{&quot;data&quot;:[],&quot;type&quot;:&quot;async_block&quot;},&quot;id&quot;:&quot;scope-177da386-3234-4b25-8f65-8d35471dd2b3&quot;,&quot;handlers&quot;:{&quot;obs-output&quot;:[function (updated_htmlstr) {\n",
       "    var el = this.dom.querySelector(&quot;#out&quot;);\n",
       "    WebIO.propUtils.setInnerHtml(el, updated_htmlstr);\n",
       "}]},&quot;systemjs_options&quot;:null,&quot;observables&quot;:{&quot;obs-output&quot;:{&quot;sync&quot;:false,&quot;id&quot;:&quot;ob_10&quot;,&quot;value&quot;:&quot;&lt;div class=&#39;display:none&#39;&gt;&lt;/div&gt;&lt;unsafe-script style=&#39;display:none&#39;&gt;\\nWebIO.mount(this.previousSibling,{&amp;quot;props&amp;quot;:{&amp;quot;attributes&amp;quot;:{&amp;quot;style&amp;quot;:&amp;quot;display:flex; justify-content:center; align-items:center;&amp;quot;}},&amp;quot;nodeType&amp;quot;:&amp;quot;DOM&amp;quot;,&amp;quot;type&amp;quot;:&amp;quot;node&amp;quot;,&amp;quot;instanceArgs&amp;quot;:{&amp;quot;namespace&amp;quot;:&amp;quot;html&amp;quot;,&amp;quot;tag&amp;quot;:&amp;quot;div&amp;quot;},&amp;quot;children&amp;quot;:[{&amp;quot;props&amp;quot;:{&amp;quot;setInnerHtml&amp;quot;:&amp;quot;1.4142135623730950488016887242096980785696718753769480731766796&amp;quot;},&amp;quot;nodeType&amp;quot;:&amp;quot;DOM&amp;quot;,&amp;quot;type&amp;quot;:&amp;quot;node&amp;quot;,&amp;quot;instanceArgs&amp;quot;:{&amp;quot;namespace&amp;quot;:&amp;quot;html&amp;quot;,&amp;quot;tag&amp;quot;:&amp;quot;div&amp;quot;},&amp;quot;children&amp;quot;:[]}]})&lt;/unsafe-script&gt;&quot;}}},&quot;children&quot;:[{&quot;props&quot;:{&quot;id&quot;:&quot;out&quot;,&quot;setInnerHtml&quot;:&quot;&lt;div class=&#39;display:none&#39;&gt;&lt;/div&gt;&lt;unsafe-script style=&#39;display:none&#39;&gt;\\nWebIO.mount(this.previousSibling,{&amp;quot;props&amp;quot;:{&amp;quot;attributes&amp;quot;:{&amp;quot;style&amp;quot;:&amp;quot;display:flex; justify-content:center; align-items:center;&amp;quot;}},&amp;quot;nodeType&amp;quot;:&amp;quot;DOM&amp;quot;,&amp;quot;type&amp;quot;:&amp;quot;node&amp;quot;,&amp;quot;instanceArgs&amp;quot;:{&amp;quot;namespace&amp;quot;:&amp;quot;html&amp;quot;,&amp;quot;tag&amp;quot;:&amp;quot;div&amp;quot;},&amp;quot;children&amp;quot;:[{&amp;quot;props&amp;quot;:{&amp;quot;setInnerHtml&amp;quot;:&amp;quot;1.4142135623730950488016887242096980785696718753769480731766796&amp;quot;},&amp;quot;nodeType&amp;quot;:&amp;quot;DOM&amp;quot;,&amp;quot;type&amp;quot;:&amp;quot;node&amp;quot;,&amp;quot;instanceArgs&amp;quot;:{&amp;quot;namespace&amp;quot;:&amp;quot;html&amp;quot;,&amp;quot;tag&amp;quot;:&amp;quot;div&amp;quot;},&amp;quot;children&amp;quot;:[]}]})&lt;/unsafe-script&gt;&quot;},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;div&quot;},&quot;children&quot;:[]}]}]})</unsafe-script>\n",
       "</div>"
      ],
      "text/plain": [
       "Widget{:manipulate,Any}(OrderedDict{Symbol,Any}(:n=>Widget{:slider,Int64}(OrderedDict{Symbol,Any}(:changes=>Observable{Int64}(\"ob_07\", 0, Any[SyncCallback(Scope(\"knockout-component-2c590104-8538-45a2-adbd-a092d728337c\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"n\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>20,:min=>0,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(#= circular reference @-6 =#), nothing),\"value\"=>(Observable{Int64}(\"ob_06\", 10, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"value\"))), #g#15{##16#17{##7#9,Observable{Any}},Tuple{Observable{Int64}}}(##16#17{##7#9,Observable{Any}}(##7#9(), Observable{Any}(\"ob_08\", HTML{BigFloat}(1.41421), Any[])), (Observable{Int64}(#= circular reference @-4 =#),))]), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":10}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-2c590104-8538-45a2-adbd-a092d728337c\\\",\\\"id\\\":\\\"ob_07\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-2c590104-8538-45a2-adbd-a092d728337c\\\",\\\"id\\\":\\\"ob_06\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), SyncCallback(Scope(\"knockout-component-2c590104-8538-45a2-adbd-a092d728337c\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"n\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>20,:min=>0,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(#= circular reference @-7 =#), nothing),\"value\"=>(Observable{Int64}(\"ob_06\", 10, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"value\"))), #g#15{##16#17{##7#9,Observable{Any}},Tuple{Observable{Int64}}}(##16#17{##7#9,Observable{Any}}(##7#9(), Observable{Any}(\"ob_08\", HTML{BigFloat}(1.41421), Any[])), (Observable{Int64}(#= circular reference @-4 =#),))]), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":10}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-2c590104-8538-45a2-adbd-a092d728337c\\\",\\\"id\\\":\\\"ob_07\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-2c590104-8538-45a2-adbd-a092d728337c\\\",\\\"id\\\":\\\"ob_06\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), ##39#41{Scope,String}(Scope(\"knockout-component-2c590104-8538-45a2-adbd-a092d728337c\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"n\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>20,:min=>0,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(#= circular reference @-8 =#), nothing),\"value\"=>(Observable{Int64}(\"ob_06\", 10, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"value\"))), #g#15{##16#17{##7#9,Observable{Any}},Tuple{Observable{Int64}}}(##16#17{##7#9,Observable{Any}}(##7#9(), Observable{Any}(\"ob_08\", HTML{BigFloat}(1.41421), Any[])), (Observable{Int64}(#= circular reference @-4 =#),))]), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":10}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-2c590104-8538-45a2-adbd-a092d728337c\\\",\\\"id\\\":\\\"ob_07\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-2c590104-8538-45a2-adbd-a092d728337c\\\",\\\"id\\\":\\\"ob_06\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), \"changes\")))]),:value=>Observable{Int64}(\"ob_06\", 10, Any[SyncCallback(Scope(\"knockout-component-2c590104-8538-45a2-adbd-a092d728337c\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"n\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>20,:min=>0,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(\"ob_07\", 0, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"changes\")))]), nothing),\"value\"=>(Observable{Int64}(#= circular reference @-6 =#), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":10}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-2c590104-8538-45a2-adbd-a092d728337c\\\",\\\"id\\\":\\\"ob_07\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-2c590104-8538-45a2-adbd-a092d728337c\\\",\\\"id\\\":\\\"ob_06\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), SyncCallback(Scope(\"knockout-component-2c590104-8538-45a2-adbd-a092d728337c\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"n\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>20,:min=>0,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(\"ob_07\", 0, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"changes\")))]), nothing),\"value\"=>(Observable{Int64}(#= circular reference @-7 =#), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":10}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-2c590104-8538-45a2-adbd-a092d728337c\\\",\\\"id\\\":\\\"ob_07\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-2c590104-8538-45a2-adbd-a092d728337c\\\",\\\"id\\\":\\\"ob_06\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), ##39#41{Scope,String}(Scope(\"knockout-component-2c590104-8538-45a2-adbd-a092d728337c\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"n\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>20,:min=>0,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(\"ob_07\", 0, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"changes\")))]), nothing),\"value\"=>(Observable{Int64}(#= circular reference @-8 =#), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":10}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-2c590104-8538-45a2-adbd-a092d728337c\\\",\\\"id\\\":\\\"ob_07\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-2c590104-8538-45a2-adbd-a092d728337c\\\",\\\"id\\\":\\\"ob_06\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), \"value\"))), #g#15{##16#17{##7#9,Observable{Any}},Tuple{Observable{Int64}}}(##16#17{##7#9,Observable{Any}}(##7#9(), Observable{Any}(\"ob_08\", HTML{BigFloat}(1.41421), Any[])), (Observable{Int64}(#= circular reference @-4 =#),))])), Observable{Int64}(\"ob_06\", 10, Any[SyncCallback(Scope(\"knockout-component-2c590104-8538-45a2-adbd-a092d728337c\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"n\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>20,:min=>0,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(\"ob_07\", 0, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"changes\")))]), nothing),\"value\"=>(Observable{Int64}(#= circular reference @-6 =#), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":10}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-2c590104-8538-45a2-adbd-a092d728337c\\\",\\\"id\\\":\\\"ob_07\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-2c590104-8538-45a2-adbd-a092d728337c\\\",\\\"id\\\":\\\"ob_06\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), SyncCallback(Scope(\"knockout-component-2c590104-8538-45a2-adbd-a092d728337c\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"n\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>20,:min=>0,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(\"ob_07\", 0, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"changes\")))]), nothing),\"value\"=>(Observable{Int64}(#= circular reference @-7 =#), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":10}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-2c590104-8538-45a2-adbd-a092d728337c\\\",\\\"id\\\":\\\"ob_07\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-2c590104-8538-45a2-adbd-a092d728337c\\\",\\\"id\\\":\\\"ob_06\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), ##39#41{Scope,String}(Scope(\"knockout-component-2c590104-8538-45a2-adbd-a092d728337c\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"n\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>20,:min=>0,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(\"ob_07\", 0, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"changes\")))]), nothing),\"value\"=>(Observable{Int64}(#= circular reference @-8 =#), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":10}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-2c590104-8538-45a2-adbd-a092d728337c\\\",\\\"id\\\":\\\"ob_07\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-2c590104-8538-45a2-adbd-a092d728337c\\\",\\\"id\\\":\\\"ob_06\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), \"value\"))), #g#15{##16#17{##7#9,Observable{Any}},Tuple{Observable{Int64}}}(##16#17{##7#9,Observable{Any}}(##7#9(), Observable{Any}(\"ob_08\", HTML{BigFloat}(1.41421), Any[])), (Observable{Int64}(#= circular reference @-4 =#),))]), Scope(\"knockout-component-2c590104-8538-45a2-adbd-a092d728337c\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"n\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>20,:min=>0,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(\"ob_07\", 0, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"changes\")))]), nothing),\"value\"=>(Observable{Int64}(\"ob_06\", 10, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"value\"))), #g#15{##16#17{##7#9,Observable{Any}},Tuple{Observable{Int64}}}(##16#17{##7#9,Observable{Any}}(##7#9(), Observable{Any}(\"ob_08\", HTML{BigFloat}(1.41421), Any[])), (Observable{Int64}(#= circular reference @-4 =#),))]), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":10}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-2c590104-8538-45a2-adbd-a092d728337c\\\",\\\"id\\\":\\\"ob_07\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-2c590104-8538-45a2-adbd-a092d728337c\\\",\\\"id\\\":\\\"ob_06\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), ##52#53{#dom#14{##dom#12#13{Dict{Any,Any},DOM}},typeof(scope)}(#dom#14{##dom#12#13{Dict{Any,Any},DOM}}(##dom#12#13{Dict{Any,Any},DOM}(Dict{Any,Any}(:className=>\"field\"), DOM(:html, :div))), scope))), Observable{Any}(\"ob_08\", HTML{BigFloat}(1.4142135623730950488016887242096980785696718753769480731766796), Any[]), nothing, getfield(Main, Symbol(\"##8#10\")){Observable{Any}}(Observable{Any}(\"ob_08\", HTML{BigFloat}(1.4142135623730950488016887242096980785696718753769480731766796), Any[])))"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "setprecision(BigFloat, 200) # 200 binary digits, about 60 decimal places\n",
    "@manipulate for n = 0:20\n",
    "    HTML(iterate_sqrt(big(2.0), n, big(1.0))) # the \"big\" function converts numbers to \"BigFloat\" precision\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It's a little hard from the above output to see the convergence, so I wrote a little Julia program to take two numbers (an approximation and the \"exact\" value), and display the approximate value with the accurate digits in boldface via HTML code."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "matchdigits (generic function with 1 method)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# output x as HTML, with digits matching x0 printed in bold\n",
    "function matchdigits(x, x0)\n",
    "    s = string(x)\n",
    "    s0 = string(x0)\n",
    "    buf = IOBuffer()\n",
    "    matches = true\n",
    "    i = 0\n",
    "    print(buf, \"<b>\")\n",
    "    while (i += 1) <= length(s)\n",
    "        i % 70 == 0 && print(buf, \"<br>\")\n",
    "        if matches && i <= length(s0) && isdigit(s[i])\n",
    "            if s[i] == s0[i]\n",
    "                print(buf, s[i])\n",
    "                continue\n",
    "            end\n",
    "            print(buf, \"</b>\")\n",
    "            matches = false\n",
    "        end\n",
    "        print(buf, s[i])\n",
    "    end\n",
    "    matches && print(buf, \"</b>\")\n",
    "    HTML(String(take!(buf)))\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we can see the output a bit more clearly, and we can see that the **number of accurate digits doubles on each Newton iteration**, giving us 1000 digits after about 10 iterations:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div class='tex2jax_ignore interactbulma'>\n",
       "<div class='display:none'></div><unsafe-script style='display:none'>\n",
       "WebIO.mount(this.previousSibling,{&quot;props&quot;:{},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;div&quot;},&quot;children&quot;:[{&quot;props&quot;:{&quot;className&quot;:&quot;field&quot;},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;div&quot;},&quot;children&quot;:[{&quot;props&quot;:{},&quot;nodeType&quot;:&quot;Scope&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;imports&quot;:{&quot;data&quot;:[{&quot;name&quot;:&quot;knockout&quot;,&quot;type&quot;:&quot;js&quot;,&quot;url&quot;:&quot;/assetserver/429ea4842967203db7a2e10862642c116542d0e4-knockout.js&quot;},{&quot;name&quot;:&quot;knockout_punches&quot;,&quot;type&quot;:&quot;js&quot;,&quot;url&quot;:&quot;/assetserver/9998dbb29ca780269e6886a8c8c4b78bb9a73c26-knockout_punches.js&quot;},{&quot;name&quot;:null,&quot;type&quot;:&quot;js&quot;,&quot;url&quot;:&quot;/assetserver/6ee7ce3a8d8fbffe6a5785768ec923478100c144-all.js&quot;},{&quot;name&quot;:null,&quot;type&quot;:&quot;css&quot;,&quot;url&quot;:&quot;/assetserver/255cc2d911924b0ffa0f74016aac5f640f90a396-style.css&quot;},{&quot;name&quot;:null,&quot;type&quot;:&quot;css&quot;,&quot;url&quot;:&quot;/assetserver/66a9780e4509d09169a66d890937410d69e4da42-main.css&quot;}],&quot;type&quot;:&quot;async_block&quot;},&quot;id&quot;:&quot;knockout-component-b1377b24-5f14-4de4-9931-bc0c4ade0aa2&quot;,&quot;handlers&quot;:{&quot;_promises&quot;:{&quot;importsLoaded&quot;:[function (ko, koPunches) {\n",
       "    ko.punches.enableAll();\n",
       "    ko.bindingHandlers.numericValue = {\n",
       "        init : function(element, valueAccessor, allBindings, data, context) {\n",
       "            var stringified = ko.observable(ko.unwrap(valueAccessor()));\n",
       "            stringified.subscribe(function(value) {\n",
       "                var val = parseFloat(value);\n",
       "                if (!isNaN(val)) {\n",
       "                    valueAccessor()(val);\n",
       "                }\n",
       "            })\n",
       "            valueAccessor().subscribe(function(value) {\n",
       "                var str = JSON.stringify(value);\n",
       "                if ((str == &quot;0&quot;) &amp;&amp; ([&quot;-0&quot;, &quot;-0.&quot;].indexOf(stringified()) &gt;= 0))\n",
       "                     return;\n",
       "                 if ([&quot;null&quot;, &quot;&quot;].indexOf(str) &gt;= 0)\n",
       "                     return;\n",
       "                stringified(str);\n",
       "            })\n",
       "            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get(&#39;valueUpdate&#39;)}, context);\n",
       "        }\n",
       "    };\n",
       "    var json_data = JSON.parse(&quot;{\\&quot;changes\\&quot;:0,\\&quot;value\\&quot;:6}&quot;);\n",
       "    var self = this;\n",
       "    function AppViewModel() {\n",
       "        for (var key in json_data) {\n",
       "            var el = json_data[key];\n",
       "            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\n",
       "        }\n",
       "        \n",
       "        \n",
       "        [this[&quot;changes&quot;].subscribe((function (val){!(this.valueFromJulia[&quot;changes&quot;]) ? (WebIO.setval({&quot;name&quot;:&quot;changes&quot;,&quot;scope&quot;:&quot;knockout-component-b1377b24-5f14-4de4-9931-bc0c4ade0aa2&quot;,&quot;id&quot;:&quot;ob_12&quot;,&quot;type&quot;:&quot;observable&quot;},val)) : undefined; return this.valueFromJulia[&quot;changes&quot;]=false}),self),this[&quot;value&quot;].subscribe((function (val){!(this.valueFromJulia[&quot;value&quot;]) ? (WebIO.setval({&quot;name&quot;:&quot;value&quot;,&quot;scope&quot;:&quot;knockout-component-b1377b24-5f14-4de4-9931-bc0c4ade0aa2&quot;,&quot;id&quot;:&quot;ob_11&quot;,&quot;type&quot;:&quot;observable&quot;},val)) : undefined; return this.valueFromJulia[&quot;value&quot;]=false}),self)]\n",
       "        \n",
       "    }\n",
       "    self.model = new AppViewModel();\n",
       "    self.valueFromJulia = {};\n",
       "    for (var key in json_data) {\n",
       "        self.valueFromJulia[key] = false;\n",
       "    }\n",
       "    ko.applyBindings(self.model, self.dom);\n",
       "}\n",
       "]},&quot;changes&quot;:[(function (val){return (val!=this.model[&quot;changes&quot;]()) ? (this.valueFromJulia[&quot;changes&quot;]=true, this.model[&quot;changes&quot;](val)) : undefined})],&quot;value&quot;:[(function (val){return (val!=this.model[&quot;value&quot;]()) ? (this.valueFromJulia[&quot;value&quot;]=true, this.model[&quot;value&quot;](val)) : undefined})]},&quot;systemjs_options&quot;:null,&quot;observables&quot;:{&quot;changes&quot;:{&quot;sync&quot;:false,&quot;id&quot;:&quot;ob_12&quot;,&quot;value&quot;:0},&quot;value&quot;:{&quot;sync&quot;:true,&quot;id&quot;:&quot;ob_11&quot;,&quot;value&quot;:6}}},&quot;children&quot;:[{&quot;props&quot;:{&quot;attributes&quot;:{&quot;style&quot;:&quot;display:flex; justify-content:center; align-items:center;&quot;}},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;div&quot;},&quot;children&quot;:[{&quot;props&quot;:{&quot;attributes&quot;:{&quot;style&quot;:&quot;text-align:right;width:18%&quot;}},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;div&quot;},&quot;children&quot;:[{&quot;props&quot;:{&quot;className&quot;:&quot;interact &quot;,&quot;style&quot;:{&quot;padding&quot;:&quot;5px 10px 0px 10px&quot;}},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;label&quot;},&quot;children&quot;:[&quot;n&quot;]}]},{&quot;props&quot;:{&quot;attributes&quot;:{&quot;style&quot;:&quot;flex-grow:1; margin: 0 2%&quot;}},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;div&quot;},&quot;children&quot;:[{&quot;props&quot;:{&quot;max&quot;:12,&quot;min&quot;:0,&quot;attributes&quot;:{&quot;type&quot;:&quot;range&quot;,&quot;data-bind&quot;:&quot;numericValue: value, valueUpdate: &#39;input&#39;, event: {change : function () {this.changes(this.changes()+1)}}&quot;,&quot;orient&quot;:&quot;horizontal&quot;},&quot;step&quot;:1,&quot;className&quot;:&quot;slider slider is-fullwidth&quot;,&quot;style&quot;:{}},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;input&quot;},&quot;children&quot;:[]}]},{&quot;props&quot;:{&quot;attributes&quot;:{&quot;style&quot;:&quot;width:18%&quot;}},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;div&quot;},&quot;children&quot;:[{&quot;props&quot;:{&quot;attributes&quot;:{&quot;data-bind&quot;:&quot;text: value&quot;}},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;p&quot;},&quot;children&quot;:[]}]}]}]}]},{&quot;props&quot;:{},&quot;nodeType&quot;:&quot;Scope&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;imports&quot;:{&quot;data&quot;:[],&quot;type&quot;:&quot;async_block&quot;},&quot;id&quot;:&quot;scope-35286314-9e91-407d-9792-e46c2201e7b5&quot;,&quot;handlers&quot;:{&quot;obs-output&quot;:[function (updated_htmlstr) {\n",
       "    var el = this.dom.querySelector(&quot;#out&quot;);\n",
       "    WebIO.propUtils.setInnerHtml(el, updated_htmlstr);\n",
       "}]},&quot;systemjs_options&quot;:null,&quot;observables&quot;:{&quot;obs-output&quot;:{&quot;sync&quot;:false,&quot;id&quot;:&quot;ob_15&quot;,&quot;value&quot;:&quot;&lt;div class=&#39;display:none&#39;&gt;&lt;/div&gt;&lt;unsafe-script style=&#39;display:none&#39;&gt;\\nWebIO.mount(this.previousSibling,{&amp;quot;props&amp;quot;:{&amp;quot;attributes&amp;quot;:{&amp;quot;style&amp;quot;:&amp;quot;display:flex; justify-content:center; align-items:center;&amp;quot;}},&amp;quot;nodeType&amp;quot;:&amp;quot;DOM&amp;quot;,&amp;quot;type&amp;quot;:&amp;quot;node&amp;quot;,&amp;quot;instanceArgs&amp;quot;:{&amp;quot;namespace&amp;quot;:&amp;quot;html&amp;quot;,&amp;quot;tag&amp;quot;:&amp;quot;div&amp;quot;},&amp;quot;children&amp;quot;:[{&amp;quot;props&amp;quot;:{&amp;quot;setInnerHtml&amp;quot;:&amp;quot;&amp;lt;b&amp;gt;1.41421356237309504880168872420969807856967187537&amp;lt;/b&amp;gt;72340015610131331132&amp;lt;br&amp;gt;6525563033997853178716125071047521604837511126183764071885126616811616&amp;lt;br&amp;gt;7162101238843783439868142965883500768770461491093225893183284963099150&amp;lt;br&amp;gt;6223392632878159092813277786538979868580721217647731492814500192417022&amp;lt;br&amp;gt;9472171819006034555296384461252100839755489484121494497350019536442723&amp;lt;br&amp;gt;1186013892541117637982975163051343793659178969354305706782842867722136&amp;lt;br&amp;gt;0285957751288290660871162016116423633508637413567618595194220018754226&amp;lt;br&amp;gt;1801686154053680749194851721319707504288565659712324798530363835278345&amp;lt;br&amp;gt;5973254916693639204870605354430942870677694229820494310675929250146641&amp;lt;br&amp;gt;2645913457281226540474057953952095640688020974185824746607391415094289&amp;lt;br&amp;gt;2441812940461284009104664219600320404302814630057846081941738363158363&amp;lt;br&amp;gt;8317266721225980924613645165405814743325094144337579160279284671770442&amp;lt;br&amp;gt;9530759848470907873115868637473604206790706897671651034802886383180636&amp;lt;br&amp;gt;3031085676303142896530895974673785817758584026717731172373036760007131&amp;lt;br&amp;gt;4768446381293291239275620713287712148407740265082744399444829151431986&amp;lt;br&amp;gt;8521995901527811389767397365894891299236246034306846011827758742150876&amp;lt;br&amp;gt;0762844059097228688168506666301030296662967578350355720143313095411898&amp;lt;br&amp;gt;229941569405143526&amp;quot;},&amp;quot;nodeType&amp;quot;:&amp;quot;DOM&amp;quot;,&amp;quot;type&amp;quot;:&amp;quot;node&amp;quot;,&amp;quot;instanceArgs&amp;quot;:{&amp;quot;namespace&amp;quot;:&amp;quot;html&amp;quot;,&amp;quot;tag&amp;quot;:&amp;quot;div&amp;quot;},&amp;quot;children&amp;quot;:[]}]})&lt;/unsafe-script&gt;&quot;}}},&quot;children&quot;:[{&quot;props&quot;:{&quot;id&quot;:&quot;out&quot;,&quot;setInnerHtml&quot;:&quot;&lt;div class=&#39;display:none&#39;&gt;&lt;/div&gt;&lt;unsafe-script style=&#39;display:none&#39;&gt;\\nWebIO.mount(this.previousSibling,{&amp;quot;props&amp;quot;:{&amp;quot;attributes&amp;quot;:{&amp;quot;style&amp;quot;:&amp;quot;display:flex; justify-content:center; align-items:center;&amp;quot;}},&amp;quot;nodeType&amp;quot;:&amp;quot;DOM&amp;quot;,&amp;quot;type&amp;quot;:&amp;quot;node&amp;quot;,&amp;quot;instanceArgs&amp;quot;:{&amp;quot;namespace&amp;quot;:&amp;quot;html&amp;quot;,&amp;quot;tag&amp;quot;:&amp;quot;div&amp;quot;},&amp;quot;children&amp;quot;:[{&amp;quot;props&amp;quot;:{&amp;quot;setInnerHtml&amp;quot;:&amp;quot;&amp;lt;b&amp;gt;1.41421356237309504880168872420969807856967187537&amp;lt;/b&amp;gt;72340015610131331132&amp;lt;br&amp;gt;6525563033997853178716125071047521604837511126183764071885126616811616&amp;lt;br&amp;gt;7162101238843783439868142965883500768770461491093225893183284963099150&amp;lt;br&amp;gt;6223392632878159092813277786538979868580721217647731492814500192417022&amp;lt;br&amp;gt;9472171819006034555296384461252100839755489484121494497350019536442723&amp;lt;br&amp;gt;1186013892541117637982975163051343793659178969354305706782842867722136&amp;lt;br&amp;gt;0285957751288290660871162016116423633508637413567618595194220018754226&amp;lt;br&amp;gt;1801686154053680749194851721319707504288565659712324798530363835278345&amp;lt;br&amp;gt;5973254916693639204870605354430942870677694229820494310675929250146641&amp;lt;br&amp;gt;2645913457281226540474057953952095640688020974185824746607391415094289&amp;lt;br&amp;gt;2441812940461284009104664219600320404302814630057846081941738363158363&amp;lt;br&amp;gt;8317266721225980924613645165405814743325094144337579160279284671770442&amp;lt;br&amp;gt;9530759848470907873115868637473604206790706897671651034802886383180636&amp;lt;br&amp;gt;3031085676303142896530895974673785817758584026717731172373036760007131&amp;lt;br&amp;gt;4768446381293291239275620713287712148407740265082744399444829151431986&amp;lt;br&amp;gt;8521995901527811389767397365894891299236246034306846011827758742150876&amp;lt;br&amp;gt;0762844059097228688168506666301030296662967578350355720143313095411898&amp;lt;br&amp;gt;229941569405143526&amp;quot;},&amp;quot;nodeType&amp;quot;:&amp;quot;DOM&amp;quot;,&amp;quot;type&amp;quot;:&amp;quot;node&amp;quot;,&amp;quot;instanceArgs&amp;quot;:{&amp;quot;namespace&amp;quot;:&amp;quot;html&amp;quot;,&amp;quot;tag&amp;quot;:&amp;quot;div&amp;quot;},&amp;quot;children&amp;quot;:[]}]})&lt;/unsafe-script&gt;&quot;},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;div&quot;},&quot;children&quot;:[]}]}]})</unsafe-script>\n",
       "</div>"
      ],
      "text/plain": [
       "Widget{:manipulate,Any}(OrderedDict{Symbol,Any}(:n=>Widget{:slider,Int64}(OrderedDict{Symbol,Any}(:changes=>Observable{Int64}(\"ob_12\", 0, Any[SyncCallback(Scope(\"knockout-component-b1377b24-5f14-4de4-9931-bc0c4ade0aa2\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"n\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>12,:min=>0,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(#= circular reference @-6 =#), nothing),\"value\"=>(Observable{Int64}(\"ob_11\", 6, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"value\"))), #g#15{##16#17{##11#13,Observable{Any}},Tuple{Observable{Int64}}}(##16#17{##11#13,Observable{Any}}(##11#13(), Observable{Any}(\"ob_13\", HTML{String}(\"<b>1.41421356237309504880168872420969807856967187537</b>72340015610131331132<br>6525563033997853178716125071047521604837511126183764071885126616811616<br>7162101238843783439868142965883500768770461491093225893183284963099150<br>6223392632878159092813277786538979868580721217647731492814500192417022<br>9472171819006034555296384461252100839755489484121494497350019536442723<br>1186013892541117637982975163051343793659178969354305706782842867722136<br>0285957751288290660871162016116423633508637413567618595194220018754226<br>1801686154053680749194851721319707504288565659712324798530363835278345<br>5973254916693639204870605354430942870677694229820494310675929250146641<br>2645913457281226540474057953952095640688020974185824746607391415094289<br>2441812940461284009104664219600320404302814630057846081941738363158363<br>8317266721225980924613645165405814743325094144337579160279284671770442<br>9530759848470907873115868637473604206790706897671651034802886383180636<br>3031085676303142896530895974673785817758584026717731172373036760007131<br>4768446381293291239275620713287712148407740265082744399444829151431986<br>8521995901527811389767397365894891299236246034306846011827758742150876<br>0762844059097228688168506666301030296662967578350355720143313095411898<br>229941569405143526\"), Any[])), (Observable{Int64}(#= circular reference @-4 =#),))]), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":6}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-b1377b24-5f14-4de4-9931-bc0c4ade0aa2\\\",\\\"id\\\":\\\"ob_12\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-b1377b24-5f14-4de4-9931-bc0c4ade0aa2\\\",\\\"id\\\":\\\"ob_11\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), SyncCallback(Scope(\"knockout-component-b1377b24-5f14-4de4-9931-bc0c4ade0aa2\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"n\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>12,:min=>0,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(#= circular reference @-7 =#), nothing),\"value\"=>(Observable{Int64}(\"ob_11\", 6, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"value\"))), #g#15{##16#17{##11#13,Observable{Any}},Tuple{Observable{Int64}}}(##16#17{##11#13,Observable{Any}}(##11#13(), Observable{Any}(\"ob_13\", HTML{String}(\"<b>1.41421356237309504880168872420969807856967187537</b>72340015610131331132<br>6525563033997853178716125071047521604837511126183764071885126616811616<br>7162101238843783439868142965883500768770461491093225893183284963099150<br>6223392632878159092813277786538979868580721217647731492814500192417022<br>9472171819006034555296384461252100839755489484121494497350019536442723<br>1186013892541117637982975163051343793659178969354305706782842867722136<br>0285957751288290660871162016116423633508637413567618595194220018754226<br>1801686154053680749194851721319707504288565659712324798530363835278345<br>5973254916693639204870605354430942870677694229820494310675929250146641<br>2645913457281226540474057953952095640688020974185824746607391415094289<br>2441812940461284009104664219600320404302814630057846081941738363158363<br>8317266721225980924613645165405814743325094144337579160279284671770442<br>9530759848470907873115868637473604206790706897671651034802886383180636<br>3031085676303142896530895974673785817758584026717731172373036760007131<br>4768446381293291239275620713287712148407740265082744399444829151431986<br>8521995901527811389767397365894891299236246034306846011827758742150876<br>0762844059097228688168506666301030296662967578350355720143313095411898<br>229941569405143526\"), Any[])), (Observable{Int64}(#= circular reference @-4 =#),))]), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":6}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-b1377b24-5f14-4de4-9931-bc0c4ade0aa2\\\",\\\"id\\\":\\\"ob_12\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-b1377b24-5f14-4de4-9931-bc0c4ade0aa2\\\",\\\"id\\\":\\\"ob_11\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), ##39#41{Scope,String}(Scope(\"knockout-component-b1377b24-5f14-4de4-9931-bc0c4ade0aa2\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"n\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>12,:min=>0,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(#= circular reference @-8 =#), nothing),\"value\"=>(Observable{Int64}(\"ob_11\", 6, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"value\"))), #g#15{##16#17{##11#13,Observable{Any}},Tuple{Observable{Int64}}}(##16#17{##11#13,Observable{Any}}(##11#13(), Observable{Any}(\"ob_13\", HTML{String}(\"<b>1.41421356237309504880168872420969807856967187537</b>72340015610131331132<br>6525563033997853178716125071047521604837511126183764071885126616811616<br>7162101238843783439868142965883500768770461491093225893183284963099150<br>6223392632878159092813277786538979868580721217647731492814500192417022<br>9472171819006034555296384461252100839755489484121494497350019536442723<br>1186013892541117637982975163051343793659178969354305706782842867722136<br>0285957751288290660871162016116423633508637413567618595194220018754226<br>1801686154053680749194851721319707504288565659712324798530363835278345<br>5973254916693639204870605354430942870677694229820494310675929250146641<br>2645913457281226540474057953952095640688020974185824746607391415094289<br>2441812940461284009104664219600320404302814630057846081941738363158363<br>8317266721225980924613645165405814743325094144337579160279284671770442<br>9530759848470907873115868637473604206790706897671651034802886383180636<br>3031085676303142896530895974673785817758584026717731172373036760007131<br>4768446381293291239275620713287712148407740265082744399444829151431986<br>8521995901527811389767397365894891299236246034306846011827758742150876<br>0762844059097228688168506666301030296662967578350355720143313095411898<br>229941569405143526\"), Any[])), (Observable{Int64}(#= circular reference @-4 =#),))]), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":6}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-b1377b24-5f14-4de4-9931-bc0c4ade0aa2\\\",\\\"id\\\":\\\"ob_12\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-b1377b24-5f14-4de4-9931-bc0c4ade0aa2\\\",\\\"id\\\":\\\"ob_11\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), \"changes\")))]),:value=>Observable{Int64}(\"ob_11\", 6, Any[SyncCallback(Scope(\"knockout-component-b1377b24-5f14-4de4-9931-bc0c4ade0aa2\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"n\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>12,:min=>0,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(\"ob_12\", 0, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"changes\")))]), nothing),\"value\"=>(Observable{Int64}(#= circular reference @-6 =#), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":6}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-b1377b24-5f14-4de4-9931-bc0c4ade0aa2\\\",\\\"id\\\":\\\"ob_12\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-b1377b24-5f14-4de4-9931-bc0c4ade0aa2\\\",\\\"id\\\":\\\"ob_11\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), SyncCallback(Scope(\"knockout-component-b1377b24-5f14-4de4-9931-bc0c4ade0aa2\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"n\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>12,:min=>0,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(\"ob_12\", 0, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"changes\")))]), nothing),\"value\"=>(Observable{Int64}(#= circular reference @-7 =#), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":6}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-b1377b24-5f14-4de4-9931-bc0c4ade0aa2\\\",\\\"id\\\":\\\"ob_12\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-b1377b24-5f14-4de4-9931-bc0c4ade0aa2\\\",\\\"id\\\":\\\"ob_11\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), ##39#41{Scope,String}(Scope(\"knockout-component-b1377b24-5f14-4de4-9931-bc0c4ade0aa2\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"n\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>12,:min=>0,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(\"ob_12\", 0, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"changes\")))]), nothing),\"value\"=>(Observable{Int64}(#= circular reference @-8 =#), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":6}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-b1377b24-5f14-4de4-9931-bc0c4ade0aa2\\\",\\\"id\\\":\\\"ob_12\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-b1377b24-5f14-4de4-9931-bc0c4ade0aa2\\\",\\\"id\\\":\\\"ob_11\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), \"value\"))), #g#15{##16#17{##11#13,Observable{Any}},Tuple{Observable{Int64}}}(##16#17{##11#13,Observable{Any}}(##11#13(), Observable{Any}(\"ob_13\", HTML{String}(\"<b>1.41421356237309504880168872420969807856967187537</b>72340015610131331132<br>6525563033997853178716125071047521604837511126183764071885126616811616<br>7162101238843783439868142965883500768770461491093225893183284963099150<br>6223392632878159092813277786538979868580721217647731492814500192417022<br>9472171819006034555296384461252100839755489484121494497350019536442723<br>1186013892541117637982975163051343793659178969354305706782842867722136<br>0285957751288290660871162016116423633508637413567618595194220018754226<br>1801686154053680749194851721319707504288565659712324798530363835278345<br>5973254916693639204870605354430942870677694229820494310675929250146641<br>2645913457281226540474057953952095640688020974185824746607391415094289<br>2441812940461284009104664219600320404302814630057846081941738363158363<br>8317266721225980924613645165405814743325094144337579160279284671770442<br>9530759848470907873115868637473604206790706897671651034802886383180636<br>3031085676303142896530895974673785817758584026717731172373036760007131<br>4768446381293291239275620713287712148407740265082744399444829151431986<br>8521995901527811389767397365894891299236246034306846011827758742150876<br>0762844059097228688168506666301030296662967578350355720143313095411898<br>229941569405143526\"), Any[])), (Observable{Int64}(#= circular reference @-4 =#),))])), Observable{Int64}(\"ob_11\", 6, Any[SyncCallback(Scope(\"knockout-component-b1377b24-5f14-4de4-9931-bc0c4ade0aa2\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"n\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>12,:min=>0,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(\"ob_12\", 0, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"changes\")))]), nothing),\"value\"=>(Observable{Int64}(#= circular reference @-6 =#), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":6}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-b1377b24-5f14-4de4-9931-bc0c4ade0aa2\\\",\\\"id\\\":\\\"ob_12\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-b1377b24-5f14-4de4-9931-bc0c4ade0aa2\\\",\\\"id\\\":\\\"ob_11\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), SyncCallback(Scope(\"knockout-component-b1377b24-5f14-4de4-9931-bc0c4ade0aa2\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"n\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>12,:min=>0,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(\"ob_12\", 0, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"changes\")))]), nothing),\"value\"=>(Observable{Int64}(#= circular reference @-7 =#), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":6}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-b1377b24-5f14-4de4-9931-bc0c4ade0aa2\\\",\\\"id\\\":\\\"ob_12\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-b1377b24-5f14-4de4-9931-bc0c4ade0aa2\\\",\\\"id\\\":\\\"ob_11\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), ##39#41{Scope,String}(Scope(\"knockout-component-b1377b24-5f14-4de4-9931-bc0c4ade0aa2\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"n\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>12,:min=>0,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(\"ob_12\", 0, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"changes\")))]), nothing),\"value\"=>(Observable{Int64}(#= circular reference @-8 =#), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":6}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-b1377b24-5f14-4de4-9931-bc0c4ade0aa2\\\",\\\"id\\\":\\\"ob_12\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-b1377b24-5f14-4de4-9931-bc0c4ade0aa2\\\",\\\"id\\\":\\\"ob_11\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), \"value\"))), #g#15{##16#17{##11#13,Observable{Any}},Tuple{Observable{Int64}}}(##16#17{##11#13,Observable{Any}}(##11#13(), Observable{Any}(\"ob_13\", HTML{String}(\"<b>1.41421356237309504880168872420969807856967187537</b>72340015610131331132<br>6525563033997853178716125071047521604837511126183764071885126616811616<br>7162101238843783439868142965883500768770461491093225893183284963099150<br>6223392632878159092813277786538979868580721217647731492814500192417022<br>9472171819006034555296384461252100839755489484121494497350019536442723<br>1186013892541117637982975163051343793659178969354305706782842867722136<br>0285957751288290660871162016116423633508637413567618595194220018754226<br>1801686154053680749194851721319707504288565659712324798530363835278345<br>5973254916693639204870605354430942870677694229820494310675929250146641<br>2645913457281226540474057953952095640688020974185824746607391415094289<br>2441812940461284009104664219600320404302814630057846081941738363158363<br>8317266721225980924613645165405814743325094144337579160279284671770442<br>9530759848470907873115868637473604206790706897671651034802886383180636<br>3031085676303142896530895974673785817758584026717731172373036760007131<br>4768446381293291239275620713287712148407740265082744399444829151431986<br>8521995901527811389767397365894891299236246034306846011827758742150876<br>0762844059097228688168506666301030296662967578350355720143313095411898<br>229941569405143526\"), Any[])), (Observable{Int64}(#= circular reference @-4 =#),))]), Scope(\"knockout-component-b1377b24-5f14-4de4-9931-bc0c4ade0aa2\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"n\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>12,:min=>0,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(\"ob_12\", 0, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"changes\")))]), nothing),\"value\"=>(Observable{Int64}(\"ob_11\", 6, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"value\"))), #g#15{##16#17{##11#13,Observable{Any}},Tuple{Observable{Int64}}}(##16#17{##11#13,Observable{Any}}(##11#13(), Observable{Any}(\"ob_13\", HTML{String}(\"<b>1.41421356237309504880168872420969807856967187537</b>72340015610131331132<br>6525563033997853178716125071047521604837511126183764071885126616811616<br>7162101238843783439868142965883500768770461491093225893183284963099150<br>6223392632878159092813277786538979868580721217647731492814500192417022<br>9472171819006034555296384461252100839755489484121494497350019536442723<br>1186013892541117637982975163051343793659178969354305706782842867722136<br>0285957751288290660871162016116423633508637413567618595194220018754226<br>1801686154053680749194851721319707504288565659712324798530363835278345<br>5973254916693639204870605354430942870677694229820494310675929250146641<br>2645913457281226540474057953952095640688020974185824746607391415094289<br>2441812940461284009104664219600320404302814630057846081941738363158363<br>8317266721225980924613645165405814743325094144337579160279284671770442<br>9530759848470907873115868637473604206790706897671651034802886383180636<br>3031085676303142896530895974673785817758584026717731172373036760007131<br>4768446381293291239275620713287712148407740265082744399444829151431986<br>8521995901527811389767397365894891299236246034306846011827758742150876<br>0762844059097228688168506666301030296662967578350355720143313095411898<br>229941569405143526\"), Any[])), (Observable{Int64}(#= circular reference @-4 =#),))]), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":6}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-b1377b24-5f14-4de4-9931-bc0c4ade0aa2\\\",\\\"id\\\":\\\"ob_12\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-b1377b24-5f14-4de4-9931-bc0c4ade0aa2\\\",\\\"id\\\":\\\"ob_11\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), ##52#53{#dom#14{##dom#12#13{Dict{Any,Any},DOM}},typeof(scope)}(#dom#14{##dom#12#13{Dict{Any,Any},DOM}}(##dom#12#13{Dict{Any,Any},DOM}(Dict{Any,Any}(:className=>\"field\"), DOM(:html, :div))), scope))), Observable{Any}(\"ob_13\", HTML{String}(\"<b>1.41421356237309504880168872420969807856967187537</b>72340015610131331132<br>6525563033997853178716125071047521604837511126183764071885126616811616<br>7162101238843783439868142965883500768770461491093225893183284963099150<br>6223392632878159092813277786538979868580721217647731492814500192417022<br>9472171819006034555296384461252100839755489484121494497350019536442723<br>1186013892541117637982975163051343793659178969354305706782842867722136<br>0285957751288290660871162016116423633508637413567618595194220018754226<br>1801686154053680749194851721319707504288565659712324798530363835278345<br>5973254916693639204870605354430942870677694229820494310675929250146641<br>2645913457281226540474057953952095640688020974185824746607391415094289<br>2441812940461284009104664219600320404302814630057846081941738363158363<br>8317266721225980924613645165405814743325094144337579160279284671770442<br>9530759848470907873115868637473604206790706897671651034802886383180636<br>3031085676303142896530895974673785817758584026717731172373036760007131<br>4768446381293291239275620713287712148407740265082744399444829151431986<br>8521995901527811389767397365894891299236246034306846011827758742150876<br>0762844059097228688168506666301030296662967578350355720143313095411898<br>229941569405143526\"), Any[]), nothing, getfield(Main, Symbol(\"##12#14\")){Observable{Any}}(Observable{Any}(\"ob_13\", HTML{String}(\"<b>1.41421356237309504880168872420969807856967187537</b>72340015610131331132<br>6525563033997853178716125071047521604837511126183764071885126616811616<br>7162101238843783439868142965883500768770461491093225893183284963099150<br>6223392632878159092813277786538979868580721217647731492814500192417022<br>9472171819006034555296384461252100839755489484121494497350019536442723<br>1186013892541117637982975163051343793659178969354305706782842867722136<br>0285957751288290660871162016116423633508637413567618595194220018754226<br>1801686154053680749194851721319707504288565659712324798530363835278345<br>5973254916693639204870605354430942870677694229820494310675929250146641<br>2645913457281226540474057953952095640688020974185824746607391415094289<br>2441812940461284009104664219600320404302814630057846081941738363158363<br>8317266721225980924613645165405814743325094144337579160279284671770442<br>9530759848470907873115868637473604206790706897671651034802886383180636<br>3031085676303142896530895974673785817758584026717731172373036760007131<br>4768446381293291239275620713287712148407740265082744399444829151431986<br>8521995901527811389767397365894891299236246034306846011827758742150876<br>0762844059097228688168506666301030296662967578350355720143313095411898<br>229941569405143526\"), Any[])))"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "setprecision(BigFloat, 4000) # 4000 binary digits, about 1200 decimal places\n",
    "@manipulate for n = 0:12\n",
    "    matchdigits(iterate_sqrt(big(2), n, big(1)), sqrt(big(2)))\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Or we can print the iterates as a table, again highlighting the accurate digits in bold:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<b>1</b>"
      ],
      "text/plain": [
       "HTML{String}(\"<b>1</b>\")"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<b>1.</b>5"
      ],
      "text/plain": [
       "HTML{String}(\"<b>1.</b>5\")"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<b>1.41</b>66666666666666666666666666666666666666666666666666666666675"
      ],
      "text/plain": [
       "HTML{String}(\"<b>1.41</b>66666666666666666666666666666666666666666666666666666666675\")"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<b>1.41421</b>56862745098039215686274509803921568627450980392156862745"
      ],
      "text/plain": [
       "HTML{String}(\"<b>1.41421</b>56862745098039215686274509803921568627450980392156862745\")"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<b>1.41421356237</b>46899106262955788901349101165596221157440445849057"
      ],
      "text/plain": [
       "HTML{String}(\"<b>1.41421356237</b>46899106262955788901349101165596221157440445849057\")"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<b>1.41421356237309504880168</b>9623502530243614981925776197428498289"
      ],
      "text/plain": [
       "HTML{String}(\"<b>1.41421356237309504880168</b>9623502530243614981925776197428498289\")"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<b>1.41421356237309504880168872420969807856967187537</b>72340015610125"
      ],
      "text/plain": [
       "HTML{String}(\"<b>1.41421356237309504880168872420969807856967187537</b>72340015610125\")"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<b>1.4142135623730950488016887242096980785696718753769480731766796</b>"
      ],
      "text/plain": [
       "HTML{String}(\"<b>1.4142135623730950488016887242096980785696718753769480731766796</b>\")"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<b>1.4142135623730950488016887242096980785696718753769480731766796</b>"
      ],
      "text/plain": [
       "HTML{String}(\"<b>1.4142135623730950488016887242096980785696718753769480731766796</b>\")"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<b>1.4142135623730950488016887242096980785696718753769480731766796</b>"
      ],
      "text/plain": [
       "HTML{String}(\"<b>1.4142135623730950488016887242096980785696718753769480731766796</b>\")"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<b>1.4142135623730950488016887242096980785696718753769480731766796</b>"
      ],
      "text/plain": [
       "HTML{String}(\"<b>1.4142135623730950488016887242096980785696718753769480731766796</b>\")"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "setprecision(BigFloat, 200)\n",
    "for k = 0:10\n",
    "    display(matchdigits(iterate_sqrt(big(2), k, big(1)), sqrt(big(2))))\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Of course, another way to see the convergence rate is to simply plot the error.   We will use the [PyPlot](https://github.com/stevengj/PyPlot.jl) package, which is a Julia interface to the Python [Matplotlib](http://matplotlib.org/) library.   (*Note*: You will need to run `Pkg.add(\"PyPlot\")` to install `PyPlot` first.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject Text(0.5,1,'error is a double exponential in the # iterations')"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using PyPlot\n",
    "\n",
    "setprecision(BigFloat, 4000)\n",
    "vals = [iterate_sqrt(big(2), k, big(1)) for k in 0:10]  # Newton iterates\n",
    "errs = abs.(vals .- sqrt(big(2))) ./ sqrt(big(2))  # relative errors\n",
    "errs = Float64.(errs) # convert back to double-precision for plotting\n",
    "\n",
    "plot(0:10, @.(log(-log(errs))), \"bo-\")\n",
    "ylabel(\"log(-log(relative error))\")\n",
    "xlabel(\"number of Newton iterations\")\n",
    "title(\"error is a double exponential in the # iterations\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Complex square roots"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The Newton iterations also work when $a$ is a *complex* number and a *complex* square root is desired, with some caveats.  For example, here we'll compute $\\sqrt{-2}$ starting with $x_0 = 2+3i$ (written `2+3im` in Julia):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2 + 3im\n",
      "0.8461538461538461 + 1.7307692307692308im\n",
      "0.19509764846552413 + 1.3317058589079314im\n",
      "-0.010150464830919706 + 1.4009913351414562im\n",
      "9.597830949879295e-5 + 1.4142384900461002im\n",
      "1.691940517119868e-9 + 1.4142135593360816im\n",
      "-3.633430028320694e-18 + 1.414213562373095im\n",
      "3.851859888774472e-34 + 1.414213562373095im\n",
      "-4.276423536147513e-50 + 1.414213562373095im\n",
      "4.7477838728798994e-66 + 1.414213562373095im\n",
      "-5.271098971615262e-82 + 1.414213562373095im\n"
     ]
    }
   ],
   "source": [
    "for k = 0:10\n",
    "    println(iterate_sqrt(-2, k, 2+3im))\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "But if we start with $x_0 = 2$, we'll find that it doesn't converge:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2\n",
      "0.5\n",
      "-1.75\n",
      "-0.3035714285714286\n",
      "3.142331932773109\n",
      "1.2529309672222557\n",
      "-0.1716630854488237\n",
      "5.739532701343778\n",
      "2.6955361385562107\n",
      "0.976784358209916\n",
      "-0.5353752385394334\n",
      "1.6001611866035577\n",
      "0.1751435504763853\n",
      "-5.6220304183911445\n",
      "-2.6331435284005456\n",
      "-0.9367975554591976\n",
      "0.5990677140139902\n",
      "-1.369726523091951\n",
      "0.045209481546310326\n",
      "-22.096649136881915\n",
      "-11.003068837863651\n"
     ]
    }
   ],
   "source": [
    "for k = 0:20\n",
    "    println(iterate_sqrt(-2, k, 2))\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we plot these iterates, the pattern is quite interesting (some fractal pattern?):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject Text(29.9028,0.5,'real Newton iterate for $\\\\sqrt{-2}$')"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(0:250, [iterate_sqrt(-2, k, 2) for k in 0:250], \"b.\")\n",
    "xlabel(\"Newton iterations\")\n",
    "ylabel(L\"real Newton iterate for $\\sqrt{-2}$\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The problem is that $f(z) = z^2 + 2$ has two roots: $\\pm i\\sqrt{2}$, and if we start with a real guess then it can't decide which way to go in the complex plane — the initial guess is sitting right on an extremum with respect to $\\Im z$.  Let's plot $f(z)$ in the complex plane, just for fun:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x400 with 4 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "┌ Warning: The default `strides(a::AbstractArray)` implementation is deprecated for general arrays.\n",
      "│ Specialize `strides(::LinearAlgebra.Adjoint)` if `LinearAlgebra.Adjoint` indeed uses a strided representation in memory.\n",
      "│ Warning: inappropriately implementing this method for an array type that does not use strided\n",
      "│ storage may lead to incorrect results or segfaults.\n",
      "│   caller = stride at abstractarray.jl:350 [inlined]\n",
      "└ @ Core ./abstractarray.jl:350\n",
      "┌ Warning: The default `strides(a::AbstractArray)` implementation is deprecated for general arrays.\n",
      "│ Specialize `strides(::LinearAlgebra.Adjoint)` if `LinearAlgebra.Adjoint` indeed uses a strided representation in memory.\n",
      "│ Warning: inappropriately implementing this method for an array type that does not use strided\n",
      "│ storage may lead to incorrect results or segfaults.\n",
      "│   caller = stride at abstractarray.jl:350 [inlined]\n",
      "└ @ Core ./abstractarray.jl:350\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "1-element Array{PyCall.PyObject,1}:\n",
       " PyObject <matplotlib.lines.Line2D object at 0x144baa0b8>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = range(-2,stop=2,length=100)\n",
    "f = (x' .+ im .* x).^2 .+ 2\n",
    "s = maximum(abs.(f)) # for plot scaling\n",
    "\n",
    "figure(figsize=(12,4))\n",
    "\n",
    "subplot(1,2,1)\n",
    "pcolor(x', x, real(f), cmap=\"RdBu\", vmin=-s, vmax=s)\n",
    "colorbar()\n",
    "xlabel(L\"\\Re[z]\")\n",
    "ylabel(L\"\\Im[z]\")\n",
    "title(L\"\\Re(z^2+2)\")\n",
    "plot([0,0],[-sqrt(2),+sqrt(2)], \"ko\")\n",
    "\n",
    "subplot(1,2,2)\n",
    "pcolor(x', x, imag(f), cmap=\"RdBu\", vmin=-s, vmax=s)\n",
    "colorbar()\n",
    "xlabel(L\"\\Re[z]\")\n",
    "title(L\"\\Im(z^2+2)\")\n",
    "plot([0,0],[-sqrt(2),+sqrt(2)], \"ko\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Another interesting thing to plot are **basins of attraction**: for each point $z$ in the complex plane (excluding the real axis), we plot whether Newton's method converges to $\\pm i\\sqrt{2}$, as measured by the distance after 25 Newton iterations.  (Julia's speed is *extremely* helpful here.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject Text(24.1563,0.5,'$\\\\Im z$')"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ξ = range(-2,stop=2,length=100)\n",
    "roots = ComplexF64[iterate_sqrt(-2, 25, x+im*y) for y in ξ, x in ξ]\n",
    "pcolor(ξ', ξ, imag(roots))\n",
    "xlabel(L\"\\Re z\")\n",
    "ylabel(L\"\\Im z\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Unfortunately, the plot is rather boring: the upper-half complex plane converges to $+i\\sqrt{2}$ and the lower-half complex plane converges to $-i\\sqrt{2}$.\n",
    "\n",
    "Matters are more interesting if we apply Newton's method to the $k$-th root of $a$, however: $f(z) = z^k - a$.   The Newton iteration is then:\n",
    "$$\n",
    "x_{n+1} = x_n - \\frac{x_n^k - a}{kx_n^{k-1}} = \\frac{1}{k}\\left[(k-1) x_n +  \\frac{a}{x_n^{k-1}} \\right]\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "newtonroot (generic function with 2 methods)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function newtonroot(k, a, n, x, tol=1e-3)\n",
    "    tol² = tol*tol\n",
    "    for i = 1:n\n",
    "        oldx = x\n",
    "        x = ((k-1)*x + a/x^(k-1))/k\n",
    "        # to speed things up, stop early if x changes by < tol\n",
    "        if abs2(x - oldx) < tol²\n",
    "            break\n",
    "        end\n",
    "    end\n",
    "    return x\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, we will plot the solutions of $z^k = 1$, i.e. the complex roots of unity, for which there are $k$ solutions.  Depending on the initial $z$, Newton will converge to different roots, and we will visualize these \"basins of attraction\" by plotting the phase angle $\\arg(z)$, given by `angle(z)` in Julia."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div class='tex2jax_ignore interactbulma'>\n",
       "<div class='display:none'></div><unsafe-script style='display:none'>\n",
       "WebIO.mount(this.previousSibling,{&quot;props&quot;:{},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;div&quot;},&quot;children&quot;:[{&quot;props&quot;:{&quot;className&quot;:&quot;field&quot;},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;div&quot;},&quot;children&quot;:[{&quot;props&quot;:{},&quot;nodeType&quot;:&quot;Scope&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;imports&quot;:{&quot;data&quot;:[{&quot;name&quot;:&quot;knockout&quot;,&quot;type&quot;:&quot;js&quot;,&quot;url&quot;:&quot;/assetserver/429ea4842967203db7a2e10862642c116542d0e4-knockout.js&quot;},{&quot;name&quot;:&quot;knockout_punches&quot;,&quot;type&quot;:&quot;js&quot;,&quot;url&quot;:&quot;/assetserver/9998dbb29ca780269e6886a8c8c4b78bb9a73c26-knockout_punches.js&quot;},{&quot;name&quot;:null,&quot;type&quot;:&quot;js&quot;,&quot;url&quot;:&quot;/assetserver/6ee7ce3a8d8fbffe6a5785768ec923478100c144-all.js&quot;},{&quot;name&quot;:null,&quot;type&quot;:&quot;css&quot;,&quot;url&quot;:&quot;/assetserver/255cc2d911924b0ffa0f74016aac5f640f90a396-style.css&quot;},{&quot;name&quot;:null,&quot;type&quot;:&quot;css&quot;,&quot;url&quot;:&quot;/assetserver/66a9780e4509d09169a66d890937410d69e4da42-main.css&quot;}],&quot;type&quot;:&quot;async_block&quot;},&quot;id&quot;:&quot;knockout-component-4a94cd47-0ed1-4fee-8304-8009f8c0e8ad&quot;,&quot;handlers&quot;:{&quot;_promises&quot;:{&quot;importsLoaded&quot;:[function (ko, koPunches) {\n",
       "    ko.punches.enableAll();\n",
       "    ko.bindingHandlers.numericValue = {\n",
       "        init : function(element, valueAccessor, allBindings, data, context) {\n",
       "            var stringified = ko.observable(ko.unwrap(valueAccessor()));\n",
       "            stringified.subscribe(function(value) {\n",
       "                var val = parseFloat(value);\n",
       "                if (!isNaN(val)) {\n",
       "                    valueAccessor()(val);\n",
       "                }\n",
       "            })\n",
       "            valueAccessor().subscribe(function(value) {\n",
       "                var str = JSON.stringify(value);\n",
       "                if ((str == &quot;0&quot;) &amp;&amp; ([&quot;-0&quot;, &quot;-0.&quot;].indexOf(stringified()) &gt;= 0))\n",
       "                     return;\n",
       "                 if ([&quot;null&quot;, &quot;&quot;].indexOf(str) &gt;= 0)\n",
       "                     return;\n",
       "                stringified(str);\n",
       "            })\n",
       "            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get(&#39;valueUpdate&#39;)}, context);\n",
       "        }\n",
       "    };\n",
       "    var json_data = JSON.parse(&quot;{\\&quot;changes\\&quot;:0,\\&quot;value\\&quot;:6}&quot;);\n",
       "    var self = this;\n",
       "    function AppViewModel() {\n",
       "        for (var key in json_data) {\n",
       "            var el = json_data[key];\n",
       "            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\n",
       "        }\n",
       "        \n",
       "        \n",
       "        [this[&quot;changes&quot;].subscribe((function (val){!(this.valueFromJulia[&quot;changes&quot;]) ? (WebIO.setval({&quot;name&quot;:&quot;changes&quot;,&quot;scope&quot;:&quot;knockout-component-4a94cd47-0ed1-4fee-8304-8009f8c0e8ad&quot;,&quot;id&quot;:&quot;ob_17&quot;,&quot;type&quot;:&quot;observable&quot;},val)) : undefined; return this.valueFromJulia[&quot;changes&quot;]=false}),self),this[&quot;value&quot;].subscribe((function (val){!(this.valueFromJulia[&quot;value&quot;]) ? (WebIO.setval({&quot;name&quot;:&quot;value&quot;,&quot;scope&quot;:&quot;knockout-component-4a94cd47-0ed1-4fee-8304-8009f8c0e8ad&quot;,&quot;id&quot;:&quot;ob_16&quot;,&quot;type&quot;:&quot;observable&quot;},val)) : undefined; return this.valueFromJulia[&quot;value&quot;]=false}),self)]\n",
       "        \n",
       "    }\n",
       "    self.model = new AppViewModel();\n",
       "    self.valueFromJulia = {};\n",
       "    for (var key in json_data) {\n",
       "        self.valueFromJulia[key] = false;\n",
       "    }\n",
       "    ko.applyBindings(self.model, self.dom);\n",
       "}\n",
       "]},&quot;changes&quot;:[(function (val){return (val!=this.model[&quot;changes&quot;]()) ? (this.valueFromJulia[&quot;changes&quot;]=true, this.model[&quot;changes&quot;](val)) : undefined})],&quot;value&quot;:[(function (val){return (val!=this.model[&quot;value&quot;]()) ? (this.valueFromJulia[&quot;value&quot;]=true, this.model[&quot;value&quot;](val)) : undefined})]},&quot;systemjs_options&quot;:null,&quot;observables&quot;:{&quot;changes&quot;:{&quot;sync&quot;:false,&quot;id&quot;:&quot;ob_17&quot;,&quot;value&quot;:0},&quot;value&quot;:{&quot;sync&quot;:true,&quot;id&quot;:&quot;ob_16&quot;,&quot;value&quot;:6}}},&quot;children&quot;:[{&quot;props&quot;:{&quot;attributes&quot;:{&quot;style&quot;:&quot;display:flex; justify-content:center; align-items:center;&quot;}},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;div&quot;},&quot;children&quot;:[{&quot;props&quot;:{&quot;attributes&quot;:{&quot;style&quot;:&quot;text-align:right;width:18%&quot;}},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;div&quot;},&quot;children&quot;:[{&quot;props&quot;:{&quot;className&quot;:&quot;interact &quot;,&quot;style&quot;:{&quot;padding&quot;:&quot;5px 10px 0px 10px&quot;}},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;label&quot;},&quot;children&quot;:[&quot;k&quot;]}]},{&quot;props&quot;:{&quot;attributes&quot;:{&quot;style&quot;:&quot;flex-grow:1; margin: 0 2%&quot;}},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;div&quot;},&quot;children&quot;:[{&quot;props&quot;:{&quot;max&quot;:10,&quot;min&quot;:2,&quot;attributes&quot;:{&quot;type&quot;:&quot;range&quot;,&quot;data-bind&quot;:&quot;numericValue: value, valueUpdate: &#39;input&#39;, event: {change : function () {this.changes(this.changes()+1)}}&quot;,&quot;orient&quot;:&quot;horizontal&quot;},&quot;step&quot;:1,&quot;className&quot;:&quot;slider slider is-fullwidth&quot;,&quot;style&quot;:{}},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;input&quot;},&quot;children&quot;:[]}]},{&quot;props&quot;:{&quot;attributes&quot;:{&quot;style&quot;:&quot;width:18%&quot;}},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;div&quot;},&quot;children&quot;:[{&quot;props&quot;:{&quot;attributes&quot;:{&quot;data-bind&quot;:&quot;text: value&quot;}},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;p&quot;},&quot;children&quot;:[]}]}]}]}]},{&quot;props&quot;:{},&quot;nodeType&quot;:&quot;Scope&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;imports&quot;:{&quot;data&quot;:[],&quot;type&quot;:&quot;async_block&quot;},&quot;id&quot;:&quot;scope-282c965e-9636-4ea0-ba8e-08c6fa70aa7f&quot;,&quot;handlers&quot;:{&quot;obs-output&quot;:[function (updated_htmlstr) {\n",
       "    var el = this.dom.querySelector(&quot;#out&quot;);\n",
       "    WebIO.propUtils.setInnerHtml(el, updated_htmlstr);\n",
       "}]},&quot;systemjs_options&quot;:null,&quot;observables&quot;:{&quot;obs-output&quot;:{&quot;sync&quot;:false,&quot;id&quot;:&quot;ob_20&quot;,&quot;value&quot;:&quot;&lt;div class=&#39;display:none&#39;&gt;&lt;/div&gt;&lt;unsafe-script style=&#39;display:none&#39;&gt;\\nWebIO.mount(this.previousSibling,{&amp;quot;props&amp;quot;:{&amp;quot;attributes&amp;quot;:{&amp;quot;style&amp;quot;:&amp;quot;display:flex; justify-content:center; align-items:center;&amp;quot;}},&amp;quot;nodeType&amp;quot;:&amp;quot;DOM&amp;quot;,&amp;quot;type&amp;quot;:&amp;quot;node&amp;quot;,&amp;quot;instanceArgs&amp;quot;:{&amp;quot;namespace&amp;quot;:&amp;quot;html&amp;quot;,&amp;quot;tag&amp;quot;:&amp;quot;div&amp;quot;},&amp;quot;children&amp;quot;:[{&amp;quot;props&amp;quot;:{&amp;quot;setInnerHtml&amp;quot;:&amp;quot;&amp;lt;img src=&amp;#39;data:image/png;base64,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&amp;#39;&amp;gt;&amp;lt;/img&amp;gt;&amp;quot;},&amp;quot;nodeType&amp;quot;:&amp;quot;DOM&amp;quot;,&amp;quot;type&amp;quot;:&amp;quot;node&amp;quot;,&amp;quot;instanceArgs&amp;quot;:{&amp;quot;namespace&amp;quot;:&amp;quot;html&amp;quot;,&amp;quot;tag&amp;quot;:&amp;quot;div&amp;quot;},&amp;quot;children&amp;quot;:[]}]})&lt;/unsafe-script&gt;&quot;}}},&quot;children&quot;:[{&quot;props&quot;:{&quot;id&quot;:&quot;out&quot;,&quot;setInnerHtml&quot;:&quot;&lt;div class=&#39;display:none&#39;&gt;&lt;/div&gt;&lt;unsafe-script style=&#39;display:none&#39;&gt;\\nWebIO.mount(this.previousSibling,{&amp;quot;props&amp;quot;:{&amp;quot;attributes&amp;quot;:{&amp;quot;style&amp;quot;:&amp;quot;display:flex; justify-content:center; align-items:center;&amp;quot;}},&amp;quot;nodeType&amp;quot;:&amp;quot;DOM&amp;quot;,&amp;quot;type&amp;quot;:&amp;quot;node&amp;quot;,&amp;quot;instanceArgs&amp;quot;:{&amp;quot;namespace&amp;quot;:&amp;quot;html&amp;quot;,&amp;quot;tag&amp;quot;:&amp;quot;div&amp;quot;},&amp;quot;children&amp;quot;:[{&amp;quot;props&amp;quot;:{&amp;quot;setInnerHtml&amp;quot;:&amp;quot;&amp;lt;img src=&amp;#39;data:image/png;base64,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&amp;#39;&amp;gt;&amp;lt;/img&amp;gt;&amp;quot;},&amp;quot;nodeType&amp;quot;:&amp;quot;DOM&amp;quot;,&amp;quot;type&amp;quot;:&amp;quot;node&amp;quot;,&amp;quot;instanceArgs&amp;quot;:{&amp;quot;namespace&amp;quot;:&amp;quot;html&amp;quot;,&amp;quot;tag&amp;quot;:&amp;quot;div&amp;quot;},&amp;quot;children&amp;quot;:[]}]})&lt;/unsafe-script&gt;&quot;},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;div&quot;},&quot;children&quot;:[]}]}]})</unsafe-script>\n",
       "</div>"
      ],
      "text/plain": [
       "Widget{:manipulate,Any}(OrderedDict{Symbol,Any}(:k=>Widget{:slider,Int64}(OrderedDict{Symbol,Any}(:changes=>Observable{Int64}(\"ob_17\", 0, Any[SyncCallback(Scope(\"knockout-component-4a94cd47-0ed1-4fee-8304-8009f8c0e8ad\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"k\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>10,:min=>2,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(#= circular reference @-6 =#), nothing),\"value\"=>(Observable{Int64}(\"ob_16\", 6, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"value\"))), #g#15{##16#17{##19#22,Observable{Any}},Tuple{Observable{Int64}}}(##16#17{##19#22,Observable{Any}}(##19#22(), Observable{Any}(\"ob_18\", Figure(PyObject <Figure size 640x480 with 2 Axes>), Any[])), (Observable{Int64}(#= circular reference @-4 =#),))]), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":6}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-4a94cd47-0ed1-4fee-8304-8009f8c0e8ad\\\",\\\"id\\\":\\\"ob_17\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-4a94cd47-0ed1-4fee-8304-8009f8c0e8ad\\\",\\\"id\\\":\\\"ob_16\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), SyncCallback(Scope(\"knockout-component-4a94cd47-0ed1-4fee-8304-8009f8c0e8ad\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"k\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>10,:min=>2,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(#= circular reference @-7 =#), nothing),\"value\"=>(Observable{Int64}(\"ob_16\", 6, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"value\"))), #g#15{##16#17{##19#22,Observable{Any}},Tuple{Observable{Int64}}}(##16#17{##19#22,Observable{Any}}(##19#22(), Observable{Any}(\"ob_18\", Figure(PyObject <Figure size 640x480 with 2 Axes>), Any[])), (Observable{Int64}(#= circular reference @-4 =#),))]), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":6}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-4a94cd47-0ed1-4fee-8304-8009f8c0e8ad\\\",\\\"id\\\":\\\"ob_17\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-4a94cd47-0ed1-4fee-8304-8009f8c0e8ad\\\",\\\"id\\\":\\\"ob_16\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), ##39#41{Scope,String}(Scope(\"knockout-component-4a94cd47-0ed1-4fee-8304-8009f8c0e8ad\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"k\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>10,:min=>2,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(#= circular reference @-8 =#), nothing),\"value\"=>(Observable{Int64}(\"ob_16\", 6, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"value\"))), #g#15{##16#17{##19#22,Observable{Any}},Tuple{Observable{Int64}}}(##16#17{##19#22,Observable{Any}}(##19#22(), Observable{Any}(\"ob_18\", Figure(PyObject <Figure size 640x480 with 2 Axes>), Any[])), (Observable{Int64}(#= circular reference @-4 =#),))]), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":6}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-4a94cd47-0ed1-4fee-8304-8009f8c0e8ad\\\",\\\"id\\\":\\\"ob_17\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-4a94cd47-0ed1-4fee-8304-8009f8c0e8ad\\\",\\\"id\\\":\\\"ob_16\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), \"changes\")))]),:value=>Observable{Int64}(\"ob_16\", 6, Any[SyncCallback(Scope(\"knockout-component-4a94cd47-0ed1-4fee-8304-8009f8c0e8ad\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"k\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>10,:min=>2,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(\"ob_17\", 0, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"changes\")))]), nothing),\"value\"=>(Observable{Int64}(#= circular reference @-6 =#), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":6}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-4a94cd47-0ed1-4fee-8304-8009f8c0e8ad\\\",\\\"id\\\":\\\"ob_17\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-4a94cd47-0ed1-4fee-8304-8009f8c0e8ad\\\",\\\"id\\\":\\\"ob_16\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), SyncCallback(Scope(\"knockout-component-4a94cd47-0ed1-4fee-8304-8009f8c0e8ad\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"k\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>10,:min=>2,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(\"ob_17\", 0, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"changes\")))]), nothing),\"value\"=>(Observable{Int64}(#= circular reference @-7 =#), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":6}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-4a94cd47-0ed1-4fee-8304-8009f8c0e8ad\\\",\\\"id\\\":\\\"ob_17\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-4a94cd47-0ed1-4fee-8304-8009f8c0e8ad\\\",\\\"id\\\":\\\"ob_16\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), ##39#41{Scope,String}(Scope(\"knockout-component-4a94cd47-0ed1-4fee-8304-8009f8c0e8ad\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"k\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>10,:min=>2,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(\"ob_17\", 0, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"changes\")))]), nothing),\"value\"=>(Observable{Int64}(#= circular reference @-8 =#), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":6}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-4a94cd47-0ed1-4fee-8304-8009f8c0e8ad\\\",\\\"id\\\":\\\"ob_17\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-4a94cd47-0ed1-4fee-8304-8009f8c0e8ad\\\",\\\"id\\\":\\\"ob_16\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), \"value\"))), #g#15{##16#17{##19#22,Observable{Any}},Tuple{Observable{Int64}}}(##16#17{##19#22,Observable{Any}}(##19#22(), Observable{Any}(\"ob_18\", Figure(PyObject <Figure size 640x480 with 2 Axes>), Any[])), (Observable{Int64}(#= circular reference @-4 =#),))])), Observable{Int64}(\"ob_16\", 6, Any[SyncCallback(Scope(\"knockout-component-4a94cd47-0ed1-4fee-8304-8009f8c0e8ad\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"k\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>10,:min=>2,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(\"ob_17\", 0, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"changes\")))]), nothing),\"value\"=>(Observable{Int64}(#= circular reference @-6 =#), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":6}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-4a94cd47-0ed1-4fee-8304-8009f8c0e8ad\\\",\\\"id\\\":\\\"ob_17\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-4a94cd47-0ed1-4fee-8304-8009f8c0e8ad\\\",\\\"id\\\":\\\"ob_16\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), SyncCallback(Scope(\"knockout-component-4a94cd47-0ed1-4fee-8304-8009f8c0e8ad\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"k\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>10,:min=>2,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(\"ob_17\", 0, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"changes\")))]), nothing),\"value\"=>(Observable{Int64}(#= circular reference @-7 =#), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":6}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-4a94cd47-0ed1-4fee-8304-8009f8c0e8ad\\\",\\\"id\\\":\\\"ob_17\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-4a94cd47-0ed1-4fee-8304-8009f8c0e8ad\\\",\\\"id\\\":\\\"ob_16\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), ##39#41{Scope,String}(Scope(\"knockout-component-4a94cd47-0ed1-4fee-8304-8009f8c0e8ad\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"k\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>10,:min=>2,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(\"ob_17\", 0, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"changes\")))]), nothing),\"value\"=>(Observable{Int64}(#= circular reference @-8 =#), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":6}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-4a94cd47-0ed1-4fee-8304-8009f8c0e8ad\\\",\\\"id\\\":\\\"ob_17\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-4a94cd47-0ed1-4fee-8304-8009f8c0e8ad\\\",\\\"id\\\":\\\"ob_16\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), \"value\"))), #g#15{##16#17{##19#22,Observable{Any}},Tuple{Observable{Int64}}}(##16#17{##19#22,Observable{Any}}(##19#22(), Observable{Any}(\"ob_18\", Figure(PyObject <Figure size 640x480 with 2 Axes>), Any[])), (Observable{Int64}(#= circular reference @-4 =#),))]), Scope(\"knockout-component-4a94cd47-0ed1-4fee-8304-8009f8c0e8ad\", Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :label), Any[\"k\"], Dict{Symbol,Any}(:className=>\"interact \",:style=>Dict{Any,Any}(:padding=>\"5px 10px 0px 10px\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"text-align:right;width:18%\")), 2), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :input), Any[], Dict{Symbol,Any}(:max=>10,:min=>2,:attributes=>Dict{Any,Any}(:type=>\"range\",Symbol(\"data-bind\")=>\"numericValue: value, valueUpdate: 'input', event: {change : function () {this.changes(this.changes()+1)}}\",\"orient\"=>\"horizontal\"),:step=>1,:className=>\"slider slider is-fullwidth\",:style=>Dict{Any,Any}()), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"flex-grow:1; margin: 0 2%\")), 1), Node{DOM}(DOM(:html, :div), Any[Node{DOM}(DOM(:html, :p), Any[], Dict{Symbol,Any}(:attributes=>Dict(\"data-bind\"=>\"text: value\")), 0)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"width:18%\")), 1)], Dict{Symbol,Any}(:attributes=>Dict(\"style\"=>\"display:flex; justify-content:center; align-items:center;\")), 7), Dict{String,Tuple{Observables.AbstractObservable,Union{Nothing, Bool}}}(\"changes\"=>(Observable{Int64}(\"ob_17\", 0, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"changes\")))]), nothing),\"value\"=>(Observable{Int64}(\"ob_16\", 6, Any[SyncCallback(Scope(#= circular reference @-6 =#), SyncCallback(Scope(#= circular reference @-7 =#), ##39#41{Scope,String}(Scope(#= circular reference @-8 =#), \"value\"))), #g#15{##16#17{##19#22,Observable{Any}},Tuple{Observable{Int64}}}(##16#17{##19#22,Observable{Any}}(##19#22(), Observable{Any}(\"ob_18\", Figure(PyObject <Figure size 640x480 with 2 Axes>), Any[])), (Observable{Int64}(#= circular reference @-4 =#),))]), nothing)), Set(String[]), nothing, Any[\"knockout\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout.js\", \"knockout_punches\"=>\"/Users/stevenj/.julia/packages/Knockout/JIqpG/src/../assets/knockout_punches.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/all.js\", \"/Users/stevenj/.julia/packages/InteractBase/Q4IkI/src/../assets/style.css\", \"/Users/stevenj/.julia/packages/InteractBulma/Ohu5Y/src/../assets/main.css\"], Dict{Any,Any}(\"_promises\"=>Dict{Any,Any}(\"importsLoaded\"=>Any[JSString(\"function (ko, koPunches) {\\n    ko.punches.enableAll();\\n    ko.bindingHandlers.numericValue = {\\n        init : function(element, valueAccessor, allBindings, data, context) {\\n            var stringified = ko.observable(ko.unwrap(valueAccessor()));\\n            stringified.subscribe(function(value) {\\n                var val = parseFloat(value);\\n                if (!isNaN(val)) {\\n                    valueAccessor()(val);\\n                }\\n            })\\n            valueAccessor().subscribe(function(value) {\\n                var str = JSON.stringify(value);\\n                if ((str == \\\"0\\\") && ([\\\"-0\\\", \\\"-0.\\\"].indexOf(stringified()) >= 0))\\n                     return;\\n                 if ([\\\"null\\\", \\\"\\\"].indexOf(str) >= 0)\\n                     return;\\n                stringified(str);\\n            })\\n            ko.applyBindingsToNode(element, { value: stringified, valueUpdate: allBindings.get('valueUpdate')}, context);\\n        }\\n    };\\n    var json_data = JSON.parse(\\\"{\\\\\\\"changes\\\\\\\":0,\\\\\\\"value\\\\\\\":6}\\\");\\n    var self = this;\\n    function AppViewModel() {\\n        for (var key in json_data) {\\n            var el = json_data[key];\\n            this[key] = Array.isArray(el) ? ko.observableArray(el) : ko.observable(el);\\n        }\\n        \\n        \\n        [this[\\\"changes\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"changes\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"knockout-component-4a94cd47-0ed1-4fee-8304-8009f8c0e8ad\\\",\\\"id\\\":\\\"ob_17\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"value\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"value\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"value\\\",\\\"scope\\\":\\\"knockout-component-4a94cd47-0ed1-4fee-8304-8009f8c0e8ad\\\",\\\"id\\\":\\\"ob_16\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"value\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n\")]),\"changes\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"changes\\\"]()) ? (this.valueFromJulia[\\\"changes\\\"]=true, this.model[\\\"changes\\\"](val)) : undefined})\")],\"value\"=>Any[JSString(\"(function (val){return (val!=this.model[\\\"value\\\"]()) ? (this.valueFromJulia[\\\"value\\\"]=true, this.model[\\\"value\\\"](val)) : undefined})\")]), ConnectionPool(Channel{Any}(sz_max:9223372036854775807,sz_curr:3), Set(AbstractConnection[]), Channel{AbstractConnection}(sz_max:32,sz_curr:0))), ##52#53{#dom#14{##dom#12#13{Dict{Any,Any},DOM}},typeof(scope)}(#dom#14{##dom#12#13{Dict{Any,Any},DOM}}(##dom#12#13{Dict{Any,Any},DOM}(Dict{Any,Any}(:className=>\"field\"), DOM(:html, :div))), scope))), Observable{Any}(\"ob_18\", Figure(PyObject <Figure size 640x480 with 2 Axes>), Any[]), nothing, getfield(Main, Symbol(\"##21#24\")){Observable{Any}}(Observable{Any}(\"ob_18\", Figure(PyObject <Figure size 640x480 with 2 Axes>), Any[])))"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function rootangle(k, z)\n",
    "    θ = angle(newtonroot(k, 1, 25, z))/pi\n",
    "    θ = θ < -0.95 ? 1.0 : θ # eliminate ±π oscillations from branch cut\n",
    "    return θ\n",
    "end\n",
    "rootangles(k, X, Y) = Float64[rootangle(k, x+im*y) for y in Y, x in X]   \n",
    "\n",
    "f = figure()\n",
    "ξ = range(-2,stop=2,length=600)\n",
    "@manipulate for k in 2:10\n",
    "    withfig(f) do\n",
    "        imshow(rootangles(k, ξ, ξ), extent=(-2,2,-2,2)) # imshow is faster than pcolor\n",
    "        xlabel(L\"\\Re z\")\n",
    "        ylabel(L\"\\Im z\")\n",
    "        title(\"Basins of attraction for $k-th roots of unity\")\n",
    "        colorbar(label=\"phase angle of root / π\")\n",
    "    end\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgIAAAHFCAYAAACAQJFdAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAPYQAAD2EBqD+naQAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvIxREBQAAIABJREFUeJzs3XdcU+f+B/BP2MgIKOIqIstVUSkORC1OIHFSax1xVa1aS73qbW+1WufPam2vWsXRVhRHVKwDVwCpiqPgqEpbe63GQaFVS10gDtDk+f2B50hIApmEwPf9ep2X5uSc5zw5Ced8zzMFjDEGQgghhNRINpbOACGEEEIshwIBQgghpAajQIAQQgipwSgQIIQQQmowCgQIIYSQGowCAUIIIaQGo0CAEEIIqcEoECCEEEJqMAoECCGEkBqsxgcCCQkJEAgEKkvdunXRrVs3HDx40KzHFggEmDdvnlmPYYzZs2ejcePGsLOzg4eHh9Hp/e9//8O8efOQnZ2t9t62bduwYsUKo49hjDVr1iAhIUFtfXZ2NgQCgcb3KsOqVasQGBgIBwcHCAQCPHz40GzHysrKQp8+fdC4cWM4Ozujdu3a6NSpE7Zu3apzGtq+S+48fvXVV6bMslncunUL8+bNQ1ZWlkWOn5iYiNdffx3Ozs4QCASVmo/09HQIBAKkp6fz62QyWZW+VhEjsRpu48aNDADbuHEjy8zMZBkZGWzPnj2sR48eDADbv3+/2Y6dmZnJcnNzzZa+MZKSkhgANmvWLHbq1Cl27tw5o9P8/vvvGQB27Ngxtff69OnDfH19jT6GMV5//XUWERGhtv7Zs2csMzOT5eXlVXqeLl68yACw8ePHs5MnT7LMzEz24sULsx3v2LFjbOLEiWzLli3s6NGj7MCBA2zo0KEMAFu4cKFOaWj7Lm/evMkAsC+//NLEuTa9c+fO8deFypaXl8fs7e1Zv379WHp6OsvMzGSPHz+utOPn5+ezzMxMlp+fz6/74IMPGN0uqi87i0UgVUyrVq3Qrl07/nV0dDQ8PT2xfft29OvXzyzHDAsLM0u6pnDp0iUAwJQpU+Dt7W3h3KhSKBR48eIFHB0dK+V4jo6OFvuufvvtNwDAe++9hw4dOpgkzSdPnqBWrVoa3+vWrRu6deumsq5v3764efMmvv32W8yePdskeTCVp0+fwsnJCQKBwNJZMZmrV6/i+fPnGDFiBCIiIir9+O7u7lX62kTMwNKRiKVxJQJln3iVSiVzc3Njo0aNUlk/b9481qFDB+bp6cnc3NxYSEgIW79+PVMqlSrbHTlyhEVERLDatWszJycn5uPjw9566y2VyB4Amzt3rlpejh49yiZNmsTq1KnDateuzWJiYthff/2ld/qaKBQK9sUXX7BmzZoxBwcHVrduXTZy5EiVkglfX18GQGUpnc+yzp07x4YMGcJ8fX2Zk5MT8/X1ZUOHDmXZ2dlqn63ssnHjRhYREaHxPcZePUV+8cUXbOHChaxJkybM1taWJScns6dPn7Lp06ezNm3aMHd3d+bp6cnCwsJYUlKSxs+9cuVK1qZNG+bk5MSEQiHr2LEj27dvn9bPzD3Vcnko+3R48uRJ1qNHD+bq6sqcnZ1Zp06d2MGDB1W20ec7LUvTeRk9ejT/fnx8PGvdujVzdHRknp6ebODAgex///ufShqjR49mLi4u7JdffmG9e/dmrq6uLCwsrNzjatKnTx/m5+dX4Xa6fJdffvkl++9//8uaNGnCXFxcWFhYGMvMzKwwbe5cpqamsnfffZd5eXkxAOzp06eMMd2+D8YY+/XXX1n//v2Zh4cHc3R0ZG3atGEJCQn8+8eOHdP4Gbi/gevXr7MhQ4awBg0aMAcHB+bt7c169OjBLl68WOFn2LdvHwsLC2POzs7M1dWV9erVi2VkZPDvjx49Wu24mkqpOHPnztX4pM6dq5s3b/LrfH19WZ8+fVhycjILCQlhTk5OrFmzZiw+Pl5lX+7zcyV3mvLEpd2jRw/WrFkzteufUqlkAQEBTCwWV3hOiOVRIPDyD+b06dPs+fPnrLi4mOXm5rIpU6YwGxsblpKSorL9mDFjWHx8PEtLS2NpaWls4cKFzNnZmc2fP5/f5ubNm8zJyYn17t2bJSUlsfT0dCaVStnIkSPZgwcP+O20BQL+/v7sww8/ZKmpqWz9+vXM09OTde/eXe/0NZkwYQIDwGJjY1lKSgpbt24dq1u3LvPx8WH//PMPY4yxCxcusHHjxjEALCUlpcIqjO+//57NmTOH7d27lx0/fpzt2LGDRUREsLp16/Jp5uXlsc8//5wBYKtXr2aZmZl8cftvv/3GOnfuzOrXr8+v524M3M2jUaNGrHv37mzXrl3s8OHD7ObNm+zhw4dszJgxfDF2SkoK++ijj5iNjQ3btGmTSh5HjhzJBAIBGz9+PNu3bx9LTk5mixYtYl9//TX/mf39/VlISAh//AsXLqjkoXQgkJ6ezuzt7VloaChLTExkSUlJLDIykgkEArZjxw69v1NNfvvtNzZ79myVqqtr164xxhh/LocNG8YOHTrENm/ezPz9/ZlQKGRXr17l0xg9ejSzt7dnTZo0YYsXL2ZHjhxhqamp5R6XsZLA6fnz5ywvL4+tXr2a2dnZsXXr1lW4ny7fZZMmTVh0dDRLSkpiSUlJLDg4mHl6erKHDx+WmzZ3Lhs1asQmTJjAkpOT2a5du9iLFy90/j5+//135ubmxgICAtjmzZvZoUOH2LBhw/hgk7GSonHuWLNnz+Y/A/c30KxZMxYYGMi2bNnCjh8/znbv3s3+/e9/a6zyKk0qlTIALDIykiUlJbHExEQWGhrKHBwc2MmTJxljjF27do2tXr2aAWCff/45y8zMZL/99pvWNPUNBF577TXWsmVLtnnzZpaamsoGDx7MALDjx4/z25UNBK5du8befvttBkDlO3327Bnbt28fA8DS0tJUjn/o0CEGgB06dKjcc0KqBgoEtDypOjo6sjVr1pS7L3exXLBgAatTpw4fFe/atYsBYFlZWeXury0QmDx5ssp2S5cuZQDY7du39Uq/rMuXL2tM/8yZMwwA+/TTT/l13AWGu5Hr48WLF6ywsJC5uLjwN1rGDGsjwN08AgICWHFxcYXHff78ORs3bhwLCQnh1584cYJv71AebW0ENAUCYWFhzNvbmz169Ejl+K1atWKvvfYa/1vQ9TvVRlOJ1YMHD5izs7Pa01ZOTg5zdHRkw4cP59dxT3MbNmwo9zhlTZw4kf9bcHBwqPBvobSKvsvg4GCVdg5nz55lANj27dvLTZc7F2VL6RjT/fsYOnQoc3R0ZDk5OSr7i0QiVqtWLT4Y0dZG4O7duwwAW7FiRbl5LUuhULCGDRuy4OBgplAo+PWPHj1i3t7eLDw8nF/H3Yi///77CtPVNxBwcnJif/zxB7/u6dOnrHbt2mzixIlqxy/9d6qtjYBCoWD+/v5swIABKutFIhELCAhQKykgVVON7zXA2bx5M86dO4dz584hOTkZo0ePxgcffIC4uDiV7Y4ePYpevXpBKBTC1tYW9vb2mDNnDu7du4e8vDwAQNu2beHg4IAJEyZg06ZNuHHjhl556d+/v8rr1q1bAwD++OMPo9I/duwYAGDMmDEq6zt06IAWLVrgyJEjeuWTU1hYiE8++QSBgYGws7ODnZ0dXF1d8fjxY1y+fNmgNMvq378/7O3t1dZ///336Ny5M1xdXWFnZwd7e3vEx8erHDc5ORkA8MEHH5gkL48fP8aZM2fw9ttvw9XVlV9va2uLkSNH4s8//8SVK1fU8l9a2e9UH5mZmXj69Kna9+jj44MePXpo/B4HDRqk1zE+/fRTnDt3DocOHcLYsWMRGxur0tpfqVTixYsX/KJQKHROu0+fPrC1teVf63suyn4Wfb6Po0ePomfPnvDx8VFJY8yYMXjy5AkyMzPLPXbt2rUREBCAL7/8EsuWLcPFixehVCorzPOVK1dw69YtjBw5EjY2ry67rq6uGDRoEE6fPo0nT55UmI6x2rZti8aNG/OvnZyc0LRpU4N+hwBgY2OD2NhYHDx4EDk5OQCA69evIyUlBZMnT65WbTeqMwoEXmrRogXatWuHdu3aITo6Gt988w0iIyPxn//8h++udfbsWURGRgIAvvvuO/z44484d+4cZs2aBaCk4RIABAQE4IcffoC3tzc++OADBAQEICAgAF9//bVOealTp47Ka65RnLHp37t3DwDQoEEDtfcaNmzIv6+v4cOHIy4uDuPHj0dqairOnj2Lc+fOoW7dunyejaUpz3v27ME777yDRo0aYevWrcjMzMS5c+cwduxYPHv2jN/un3/+ga2tLerXr2+SvDx48ACMMa3nEYDauazoO9WHvt9jrVq14O7urtcxGjdujHbt2kEsFmPt2rWYMGECZs6ciX/++QcAsGDBAtjb2/NLQECAzmkbey7Kfm59vo979+7p9b2VJRAIcOTIEURFRWHp0qV44403ULduXUyZMgWPHj3Sul9F35lSqcSDBw/KPbYplD33QMn5N+bvdOzYsXB2dsa6desAAKtXr4azszPGjh1rcJqkclGvgXK0bt0aqampuHr1Kjp06IAdO3bA3t4eBw8ehJOTE79dUlKS2r5du3ZF165doVAo8NNPP2HVqlWYOnUq6tWrh6FDhxqdN0PS5y4Ct2/fxmuvvaby3q1bt+Dl5aV3PvLz83Hw4EHMnTsXM2bM4NcXFRXh/v37eqenjaYni61bt8LPzw+JiYkq7xcVFalsV7duXSgUCty5c0fjhVhfnp6esLGxwe3bt9Xeu3XrFgAYdC51Vfp71HT8ssc2xVNZhw4dsG7dOty4cQN169bFhAkT0LdvX/79yurBAah/Hn2+jzp16hj9vfn6+iI+Ph5ASQv/nTt3Yt68eSguLuZvhmVV9J3Z2NjA09OzwmOXxV2HioqKVL6Du3fv6p2WoYRCIUaPHo3169fjo48+wsaNGzF8+HCTjD1CKgeVCJSDG8Sjbt26AEouQHZ2dirFmk+fPsWWLVu0pmFra4uOHTti9erVAIALFy6YNI/6pN+jRw8AUBsc5ty5c7h8+TJ69uyp9/EFAgEYY2o3gvXr16sVF5f35GfIU4lAIOAH2eHcuXMH+/btU9lOJBIBANauXVtuerrmwcXFBR07dsSePXtUtlcqldi6dStee+01NG3aVJ+PopdOnTrB2dlZ7Xv8888/+aJvUzt27BhsbGzg7+8PoOQplitBa9euHYKDg/ltjX3C1Jc+30fPnj1x9OhR/sbP2bx5M2rVqsV3m9O1lKJp06aYPXs2goODy/3ba9asGRo1aoRt27aBMcavf/z4MXbv3o1OnTpp7dJZniZNmgAAfvnlF5X1Bw4c0Dut8lR0PqZMmYK7d+/i7bffxsOHDxEbG2vS4xPzohKBly5duoQXL14AKCnG27NnD9LS0hATEwM/Pz8AJXWby5Ytw/DhwzFhwgTcu3cPX331ldpNcN26dTh69Cg/QtuzZ8+wYcMGAECvXr2Mzquh6Tdr1gwTJkzAqlWrYGNjA5FIhOzsbHz22Wfw8fHBtGnT9M6Lu7s73nzzTXz55Zfw8vJCkyZNcPz4ccTHx6s9EbRq1QoA8O2338LNzQ1OTk7w8/NDnTp1EBwcjD179mDt2rUIDQ2FjY2NyrgOmvTt2xd79uzB5MmT8fbbbyM3NxcLFy5EgwYNIJfL+e26du2KkSNH4v/+7//w999/o2/fvnB0dMTFixdRq1YtfPjhhwCA4OBg7NixA4mJifD394eTk5PKDa60xYsXo3fv3ujevTs++ugjODg4YM2aNbh06RK2b99u1rpRDw8PfPbZZ/j0008xatQoDBs2DPfu3cP8+fPh5OSEuXPnGpz2hAkT4O7ujg4dOqBevXq4e/cuvv/+eyQmJuLjjz/mg+LyGPJdGkvX72Pu3Lk4ePAgunfvjjlz5qB27dqQSqU4dOgQli5dCqFQCKCk+s3Z2RlSqRQtWrSAq6srGjZsiLt37yI2NhaDBw9GUFAQHBwccPToUfzyyy8qJWJl2djYYOnSpZBIJOjbty8mTpyIoqIifPnll3j48CGWLFli0OcWi8WoXbs2xo0bhwULFsDOzg4JCQnIzc01KD1tuL+DL774AiKRCLa2tmjdujUcHBwAlARE0dHRSE5ORpcuXdCmTRuTHp+YmWXbKlqepl4DQqGQtW3bli1btow9e/ZMZfsNGzawZs2aMUdHR+bv788WL17M4uPjVVroZmZmspiYGObr68scHR1ZnTp1WEREhNoohdDSa6DsmAZlW/Hqmr4m3DgCTZs2Zfb29szLy4uNGDFCrXugPr0G/vzzTzZo0CB+bIXo6Gh26dIl5uvrq9LvnTHGVqxYwfz8/Jitra1Kq+z79++zt99+m3l4eDCBQKCx77kmS5YsYU2aNGGOjo6sRYsW7LvvvtPYklqhULDly5ezVq1aMQcHByYUClmnTp3YgQMH+G2ys7NZZGQkc3Nz02scARcXF+bs7MzCwsJU0mNM9+9UG237M8bY+vXrWevWrfnPM2DAALWuZtw4ArrasGED69q1K/Py8mJ2dnbMw8ODRUREsC1btuichiHfZdm/BU3KOxeM6fZ9MFYyjkC/fv2YUChkDg4OrE2bNhpHENy+fTtr3rw5s7e35/P3999/szFjxrDmzZszFxcX5urqylq3bs2WL1+u04iPSUlJrGPHjszJyYm5uLiwnj17sh9//FFlG316DTBW0usiPDycubi4sEaNGrG5c+ey9evXax1HoKyIiAiV3jKafptFRUVs/PjxrG7duvx3WjptxhhLSEhgAFS6axLrIGCsVDkVIYQQYgCu90N2drbGHj6k6qKqAUIIIQYpKirChQsXcPbsWezduxfLli2jIMAKUYkAIYQQg2RnZ8PPzw/u7u58N+LSjamJdaBAgBBCCKnBqPsgIYSQGuPEiRPo168fGjZsCIFAoHEcmLKOHz+O0NBQODk5wd/fX+N4EWvWrIGfnx+cnJwQGhqKkydPmiP7ZkGBACGEkBrj8ePHaNOmjdrw8drcvHkTYrEYXbt2xcWLF/Hpp59iypQp2L17N79NYmIipk6dilmzZuHixYvo2rUrRCIRP+xyVUdVA4QQQmokgUCAvXv3YuDAgVq3+eSTT7B//36V+UsmTZqEn3/+mZ+bomPHjnjjjTdUBi1r0aIFBg4ciMWLF5vvA5gI9RowAaVSiVu3bsHNzY0m2SCEWDXGGB49eoSGDRuqTJBkas+ePUNxcbHR6TDG1K67jo6OJhv2OjMzk59jhhMVFYX4+Hg8f/4cjDGcP39ebUCpyMhIZGRkmCQP5kaBgAncunVLbTYzQgixZrm5uWpzkpjKs2fP4Ofrijt5us9aqY2rqysKCwtV1s2dOxfz5s0zOm2gZNjyevXqqayrV68eXrx4gbt374IxBoVCoXGbO3fumCQP5kaBgAm4ubkBAN58fSrsbCtv8pWa4Po77pgQmYbvkntD6cAQuF19hree689UmM6R8R35/xf6uuLvjtWreczoXscwrfYNtN05Du/2Pgp7gfEXWEvjvrPbMxmeXBdq3Y7ZMwRKS34XZX8L3x7uDQAI2FlgplxWPy8URTjx2wr+umYOxcXFuJOnwB/nm8DdzfC/xYJHSviGZiM3N1dlhk1TT4JVtsSBq1Hn5lrRto21lBBTIGAC3JdtZ+tIgYAJRUkzkCoJx3qnfhC4ALYAbo5yBgAESfMBAPKR7nByLf9nHCcTIcg2n3/9T0StatVKNlacDAAYMmQEpkmP4muZmF9nzfrsOI84mQh2cgGCuuTg+gXtpW62ds8RvfVHlL2kNdtdBLlEiD47jgEAUiXh5sxytVIZNzFXNwFc3Qw/jhIl+7q7u+s91bau6tevr/Zkn5eXBzs7O9SpUweMMdja2mrcpmwpQVVVna6HpBqSS7Q/CQJAbHRKhWlwN8UoaQaipNZRZ6ePVEk4vp8fDQCQSTpbODemFStOxqS3ZbD5t7vW4EagBJS17HG7uGSSKyWzgS0Y4mQi/vdDAQAxVKdOnZCWlqay7vDhw2jXrh3s7e3h4OCA0NBQtW3S0tIQHm4dvzsqESBVSpQ0A3GykmmDb1x6E0HSfI3BwM23hDgzdhk25rfQmlacTIQgaT7+7OWBpxIGSMIrDCysEVdyUp1xAZy2YCB1ezh2/9BJ6/5yiRBymQix0mT+d0EsT8GUUBjRb03BlHrvU1hYiGvXrvGvb968iaysLNSuXRuNGzfGzJkz8ddff2Hz5s0ASnoIxMXFYfr06XjvvfeQmZmJ+Ph4bN++nU9j+vTpGDlyJNq1a4dOnTrh22+/RU5ODiZNmmT4h6tEVCJAqqQgaT7eb3WC/3+9cwyx4mQEfJwJ3+RieHX4G13OjYNsfATq2j3C3eduWHU4mg8iUiXhcAooqRd+Wq/kSlMdgwAASB0SpvK66cLfLJQTy9Ll5h4nE1WLapPqQglm9KKvn376CSEhIQgJCQFQchMPCQnBnDlzAAC3b99W6f/v5+cHmUyG9PR0tG3bFgsXLsTKlSsxaNAgfpshQ4ZgxYoVWLBgAdq2bYsTJ05AJpPB19fXyDNUOWgcARMoKCiAUChEj9afUBsBI8glQp0v0qnDwsDsbXFtqHnqBa1N0433wBxKCviqY/VHeco+4esS8MWKk9VKUbjSqCBpvsr/a5oXiiIc/eUL5Ofnm63enbtm3rrymtGNBRs2+9Osea0JqESAVBm6XnT3T+sF2NhAYEyZYjVz9d06YAIBwjZlWTorlc6QJ3yu5IjDBQ+x4mQ+kHK8L6i2pUiElEaBAKkS5BKhzk+yjnlPzJwb6/Qo0BW17R5bOhsWp2tg0Hvr6XL3eW+EDC5/CRAlzcDsPVtNlj/yioIxoxdiPAoEiNnIJUKdnqj0qRIoi+p7gfAuvyFWnAxh1j/4WiZWe9qtCZig5IYtlwjxU34TnfZZkxwFpZOd1gA0VRKOx41KbjTnnvpT6YAZWKKNAFFHvQaIyXEXVvnLGxJ3AR0bdRQnR4Wqba/rzZy7wQXhVRXC6Yf+RuW1OnjDvaRhE3Nx0trLororGUPg1W/pnrShyvtcsJkqCQcTCDB8eyruK1zx4fAbaLbtA82JSkr+KR1Y1eS2A6T6ohIBYhaanko3pPbA75NdDE6z6VfXMVmUyr+WS4T4KaOZwelVB9yNb7zwd35ds2U3q313worIR7irVDfFiku6DUZJMxC99UfcV7gCAPqKJZgoOqxzutTrwLSUYFAYsVCJgGlQIEBMzknwXOt7tvl2uB/86olVnxbukUevwtHmebUdGMgQXMA1uO9Yfp2yXu0aWSpQWqwoRWUgKUBLyZNAgKMjOup1c+cCivJw1WJcMEK/V82oaqBqoKoBYhLcoDY2f9/HV4f6l7vtvdZA7V9L6nV1UfrptnQRL1d0S9TRU6t+9P09xclEKlVUpcklQgQmPkL0plP8tgC0bk+IpVGJADEaV28qlwjR+4ffofQuKrcOVenAcOVdd3TZdB61bIrhJHiOVEk4UkZ3QVyK6qBAqZLwV20OXj7llh46lqi7/g6dG0PoW++v7Sk/VpzMBwHca6IZ9RqoGmhAIROo6QMKKWrZw/bJc72KP1NGdIaAMbqhm4j/niewfVpSJdN762nYCPQferUm0jaokK5KD0xU3u//8IAQXJ1Ynw8KqnIbjsocUOj3y/XgZsSAQo8eKdG8xd80oJCRqESAGIyrAxV/d1zvOlABxZ8mld2vFv9/CgJ0F5rwq1H76xI0pLZvCObqrLKO2gyQqoTaCJBKV/ppiGvNTYyjtAf+aS9E7L9346GiVsU7EACAl/0jvt1JnEyEsBcl506f32V2fw/8a+g+PGP2/Lr8F7VwenRbAIB8/qtSr9JpxkpLSgd2LoyG8PcCoz+LNeJa/xuzPzEeBQLEIIYOAlS2SJQa/RlPEnkCnnaPMVWSjcBtkwAm4MfLJxXjive5G3OQNB+p0nC0W30F+R/UVzmP3DgE3LgFAPCc2WL/4C64Oqa2asIV/K65oKDZ2dtQuusevHH54drPVOVqhoooGIycfdB0eanJqGqAECtm2/gxPF8OKywSD8e14esAlARqaw5QSYuuSt/sb81jiJJm8GNU2AsUSBnRWWUcgtKGuf8MZm9r8LGvvN9Ap6CNq4qLk4kQJxNhwLbjOnVlrMqUJliI8ahEgPAN9nRtNX33DdOUBhDjvfirFtDq1WuReDj/JBqwIx/oZ5l8WbN3gzIBvGztLy554i978y/tvf4TAMCoUR3jZCLEStVnRORESTMQVWYdVxVRXldGQnRBJQIEseJkftY1XS5ktRPO6n0MbfWt1vw0UxU03VxSt7xprZhfFxezwVLZqfEqe+hhax/qWAkBFEYsSug2FgkpH5UI1FCl6xk1Tcmqab52TrOzhsWPd0OE8LpY6sJ1PZfaCBhJLhECknDUx0N+3ddvD0IQqI2ApRjaADZOJoJ7GFDvtOrNvbzvkSspWPNchMkDXpXSpUrCIZcIq3ygoGQlizH7E+NRiUANp60EQNugPXKJEP7O/+h9nFhxMrwu5vPDrd4PFkI+pxWNI2Ak+0cCjefQ2huRWZOy5z9VEm7wIEIFAcD1oboPwc0NuqW0B992gNtv06DVBuWB1DwUCNRgujy1lL0Q6XuBUzIbxMlESJWEo9uWc/z62r9W7ScVa/HcjWl86is9IiMxr/n9d6qtW5letkZfd0o92x2W/Z654GD07g90ru6zFGOqBbiFGI9GFjQBaxlZkK8OGBYG+UhPnfezee0JAr54rveIdaWna2W2AlwbSiN/mUPjtOdwzHuisk753wKI6l+yUI5qJk1zYhg8RoYNw29DV2HtwyA+bWYrQPTmkkaLuqbb5FAR+q4+qlfpUGWOLJjxWwO4GjGyYOEjJcJfv00jCxqJ2gjUIPzFY+SrRka6PC0o/6wFZvdI5yCAu+g08lHw6ygIMJ+c3vYIkqquoyCgcnEt97l6+SBpPuJgePdNpQND8wMfwPbRy+IByavj6CO7jyNfOlQ6MCekNKsJBBYtWoRDhw4hKysLDg4OePjwYcU7Abh8+TI++eQTHD9+HEqlEq+//jp27tyJxo0bq2xKSSu7AAAgAElEQVTHGINYLEZKSgr27t2LgQMHmuNjVDquFEBlRLOX3aJSJeH8haFsnXKOyAPvjZDxr9PWttV6EeKefLjuU7HS0k9CVbdYsjq5NlyIwG0l32VeRzrnlS1WnMzf+LnSAPZyPg3g1RwGseJkpIzqjGtD3fm/G65hrqYi/vxm7shrZ1zxt1wihJw7jrTikoGe68/gaAejDqkzJRNAyQz/fMbsS16xmqqBuXPnwsPDA3/++Sfi4+N1CgSuX7+ODh06YNy4cRg2bBiEQiEuX76M9u3bw9vbW2Xb5cuXIy0tDcnJyXoHAlW9asDmbj6UXkKDRwP85nsxmiQ9RKsNl7H3SJgZckhMwc63EP6fPUXknp8snRXyUtkAnGvNX9Hf4deZvdA8rqS6R9+JkMpTXm8gm3sF6J1yCc8KX2BWh/RKqRo4fqmR0VUDEa3+oqoBI1lNY8H58+dj2rRpCA4O1nmfWbNmQSwWY+nSpQgJCYG/vz/69OmjFgT8/PPPWLZsGTZsqF79r7mGQr1TfzMqnSZJJUHXpbEtTJEtYibFt13wzr4Tls4GKYW74XP/RkkzdArGbR+8mregdMmdscobibB3SuVXJylgY/RCjGc1VQP6UiqVOHToEP7zn/8gKioKFy9ehJ+fH2bOnKnytP/kyRMMGzYMcXFxqF+/vk5pFxUVoaioiH9dUFD1Jgwp+xShaWQyXZQdtczxvgBFta2iEKnG4G4stmBIfKcH3xCU2TN82DvFklkj0L+nTXnpmKJkIE4mAiSqgxFRD5OardqGU3l5eSgsLMSSJUsQHR2Nw4cPIyYmBm+99RaOHz/Obzdt2jSEh4djwIABOqe9ePFiCIVCfvHx8THHRzDKVM9sBEnzjboIaXoSaZysW9sMYn4CpnqTkUk6Azav/qQFzwU0lkA1Ysz4BJpcG2r5tiTsZRsBQxdGbQRMwqKBwLx58yAQCMpdfvrJsPpOpbKkhfuAAQMwbdo0tG3bFjNmzEDfvn2xbl3JxCz79+/H0aNHsWLFCr3SnjlzJvLz8/klNzfXoDyaU6D0faOjfG09CqjlcdWg7Rqo8v0oaVoWaxTT87TG9aacspsZPk+SydA4AlWDRasGYmNjMXTo0HK3adKkiUFpe3l5wc7ODi1btlRZ36JFC5w6dQoAcPToUVy/fh0eHh4q2wwaNAhdu3ZFenq6xrQdHR3h6Fj1GgVyTDWAiLYbfpQ0A3ITXpCIYYKk+VCKbLB9WRS8LmgJzmyqbaFftdbI8QE01diXnl7aFEGBXCJE0yVXAABfn+oN2wI7KJ89A5BudNrEelg0EPDy8oKXl5dZ0nZwcED79u1x5coVlfVXr16Fr68vAGDGjBkYP368yvvBwcFYvnw5+vWz3mnbFG4KNF9XCIgr3lab8mY0S4tuBUwxPG1iGnKJEGxkJzwYDnhdUH2Pv2EY8RsgVZfJ5uiwYRA4OyNOJoIlCggUzAYKZniwqqDmSiZhNY0Fc3JycP/+feTk5EChUCArKwsAEBgYCFdXVwBA8+bNsXjxYsTExAAAPv74YwwZMgRvvvkmunfvjpSUFBw4cIB/0q9fv77GBoKNGzeGn59f5XwwM/hX18NAV8P33ze9F4L+1l4aAABXZFWvXURNFL31x3LbAXD91In1KT0xWGli198QJzG8NKB0qQIApG4JN2oKZWMoIYDSiBpqJSgSMAWrCQTmzJmDTZs28a9DQkIAAMeOHUO3bt0AAFeuXEF+/qsbWExMDNatW4fFixdjypQpaNasGXbv3o0uXbpUat71UbqPcUobL0T/fFevEcHkEqFBvQNKy+1lD0B95jIubVPWUxLjKJmN1gmG+N8NlQpYLa6Fv2eLe3hwuQ4AQLzzI7W/zdK9hEqPVxC06QFgZ8NvU5KA5mNxAcLKPd3N82FIlWU1gUBCQgISEhLK3UbT2Ehjx47F2LFjdT6OJcZXmvj9fnyUNBJNF/6GWPGrSP3a4vYAkvk/UF0CAnNe+OnJsupZkxyl9TcRuKOAuoVZOe5vTtvIoGUFSfORKg3HkB0/IHFoL8DORq/fQKokHBhkfL51ZWyDP2osaBpWEwhUV3KJENnFXvwQpVdlr6u8zz0RlG6clxvtAZ8U9W58prrox4qTsepwNG4MFuL9gSUXorR+2ocYJpb1Zy8PvPaD+u/BpuCpBXJDzCFImo86a26hnTBb9Y2r2ZDPb8MPIQxxyTUjcWgvg68HATsL8IfxWdaJ8W0EqGrAFCgQqEJ0qacreZ9pLA7eP60X+i//weDjl05PIBHwQQAAKN1rGZwuMa+n9TRfDCOTLmhcT6yPpps6ty4Kt1TWcwEBIbqivkVVSI7Io+KNXoqTiWDzsFBlnTFBgKanfW4dV99Iqq6yN4qcz6jIlFR9JY0FjVuI8SgQsDCufjdOJtJ76N4rHzTC3ZCSG/TNGN2DCE6cTMTf7LXVM8fJRBQEWIE4mQgvhK/Gtniv+Y8WzA0hulEaOc+AMT0OyCt0FquA50YM8fWgJcAEAkx/J0mn7ff/qyeAVy3Kg6T5kE3oxk9QxP1LrE92HycAwNVRNAsb0Z0l/965NgLGLMR4dBYrGXejLb38r7Ahf1MW6Nn2xaFAgNtzlVh+qScOTe6Ov4o8+Sf9tUkipErCsepwNFIl4YiTiZAT5cC3BeDycmOgM18yQA0CrRcTADliD/R587yls0KsSKw4ucb1LlmzZg38/Pzg5OSE0NBQnDx5Uuu23bp10zj8fZ8+ffhtxowZo/Z+WJj1TNlOjQUrkaZ5xbnuQW2kuUiVhCNwm+qMYKmScMhHuiNoSwG/rqyUEZ3Rc0sGvukbiZtHXv34FA4l0b7ghWrUz/2fbvrWr2nCfUTuPMO/ThnRGcnCduAelIRyID+Iun6S8pU3kqg5KY0s3jdkQKHExERMnToVa9asQefOnfHNN99AJBLhf//7Hxo3bqy2/Z49e1BcXMy/vnfvHtq0aYPBgwerbBcdHY2NGzfyrx0cHPTOm6VQIFBZXlQ8+Uvpm3WQNJ/vOhgbnQxEa99PwBiOjuhomiFHiVUpHQQAJb+FwG0PIR9R0mYkP8i8Y0uQ6oHrvhwrTsahoaGVdlwFE0BhxAyChuy7bNkyjBs3jh9efsWKFUhNTcXatWuxePFite1r166t8nrHjh2oVauWWiDg6Oio81T2VQ0FApXFTjXqLTvMJ1DmqU0MnUYILN3l773oH/BdSi9jckmsSNkbPP9UJxCgbZgcWaeDALwMMCXhNa74l+gvTiaC8p1nwC+Wzol5FBcX4/z585gxY4bK+sjISGRk6Pb3ER8fj6FDh8LFxUVlfXp6Ory9veHh4YGIiAgsWrQI3t7eJsu7OVEgUEm44Xm51vmmuCiXLc5LH9meSgVqkLLDSZfu+fH4Q2/6LRC9cA8izwpfYNbsyjkm1/rf8P1LqgYKCgpU1mubIfbu3btQKBSoV6+eyvp69erhzp07FR7v7NmzuHTpEuLj41XWi0QiDB48GL6+vrh58yY+++wz9OjRA+fPn6/SM9VyqLFgJShd5B8lzTDZk1nTDXfV1l0eHmeStEnVV/rGr6m9x9DepyozO4ToTclsjF4AwMfHB0KhkF80FfGXJhCoVikwxtTWaRIfH49WrVqhQ4cOKuuHDBmCPn36oFWrVujXrx+Sk5Nx9epVHDp0SM8zYhkUCJiZuYpj42QiMEd7tfXRIyeY5Xik6pFLhGho/0DrHBTnxwQjSJoPZseoWoBUa7m5ucjPz+eXmTNnatzOy8sLtra2ak//eXl5aqUEZT158gQ7duxQm7pekwYNGsDX1xdyuVz3D2FBFAhYKW2twPutOlLJOSGWdOu5Z4UTUQle0OhrpGoyZjCh0tUK7u7uKou24ngHBweEhoYiLS1NZX1aWhrCw7VP5w0AO3fuRFFREUaMGFHh57p37x5yc3PRoEEDHc+EZVEgYGapknB+jABTiZOJtM5BHycTQVm3WON7pJqx0b3rlLbfCyGWpMSrngOGLBX3xVI3ffp0rF+/Hhs2bMDly5cxbdo05OTkYNKkSQCAUaNGaSxRiI+Px8CBA1GnTh2V9YWFhfjoo4+QmZmJ7OxspKeno1+/fvDy8kJMTIwBOax81FjQjLi2Aabsw50qCUesNBmpUs0Xdl0mLiLVQ9CWgnK7lXIUbgqqGiDkpSFDhuDevXtYsGABbt++jVatWkEmk8HX1xcAkJOTAxsb1Wfkq1ev4tSpUzh8+LBaera2tvj111+xefNmPHz4EA0aNED37t2RmJgINze3SvlMxqJAwMrIJUKwMV0hgELr+855Ajz1puk5qzu5RAi5DgPB2D4yfAhrQszJ+AGFDNt38uTJmDx5ssb30tPT1dY1bdoUTMuUx87OzkhNTTUoH1UFVQ2YkY3PY5OnGSTNh+C55iAAKCl9oCCgZum99XS575uyWooQU6K5BqoGOotmIpcIocx1MXm1ADcxkLZjUl1wzZM2Iqzc3wRVC5CqiqYhrhooEDCTWHEyJJEnTJomd0HXNkcAjSdfM8klQqQO0zzBCf0mCCEVoUDATOJkInjamb5qAABm9t3L/5+bwbD0a1LzyEd64vdJrqrr6LdAqjiqGqgaqLGgGZj1Aixg2DWsB4CXoxS+XJ0qDafZBGs4G9fnKq+pNIBUdcYPMUyBgClQIGAGPj88x4BlP5g0zTX7RVDaveoeSBd5UpbgthNyRM5onPwQ3bacs3R2CCFWggIBM8jtbbrTyjX+CyjTRUzt6Z8mmCEAimozvHB1gKPN84o3JsTClEwApRHTEBuzL3mFAgFzMNGPk+slULr7V5Q0A3KqAiAaiLv/hCDnPKSsDOYDRYECYLZUTUCqJqWRVQPGjEFAXqGzaAamuuiyy9fV+oBTOwBSWpA0H7HiZMSKk+Hv/A8UEEBZxx2TRSUDnLCXYwmVNyw1IaRmo0DAxD7anWjwvtzFmltsApuUlAC8bHxI/cFJabHiZLXfxOGIAAAlYwuUdW2YECuPRqmtJ8RSTDUNMTEOnUUT23u/nV7br0qLRqokXONUslfH1EacTATflGLIJUIqDSAqNP0e2GuvplItWzLFbIBm8Y/Mni9CdKWAwOiFGI8CARMSPFcgsNbfGt8r/aTPvY6TifBh7xR+m+vvlDz5lx0b4I9oBzPmmlirsjf6b7eJVV6XN0MlIYRwqLGgCb1wc8Tlxw3wx/v+ECiYys08UFCAnD5CFAtZSWO/l63840r9X2lPg8AQ3cSKkxEnE6kEA76HHmrdrjQHPyoVIFWDscX7VDVgGnQWTcj+r3s4fD4Y14a6q93Qrw13R7GQJgMiplG6KilOJkKR0l7jdqmScL4xIQDYrniACS1OVVo+CSmPAsZWDxBToBIBE1LWEaL5N4X0VE8qhVwiBCThgARIH9le63Z8FYEE6FX3ciXljpCKUYlA1UBn0Qy4rluEmFuUNEOvaYapCyEhpCwKBMwgbUQYzQFPzM4poEDvfai0ilQlNOlQ1UBn0Uyozz8xN58FJW1OdLm5c79HClBJVcIggNKIhVH3QZOgQMBMqAiWmFuUNAMJ34h1urlzv0cKUAkhZVEgYEY0vjsxpziZCGMmynS7ub9Qmj9DhOiJqgaqBjqLZpQqCaeiWFIlRCWept8iqXK42QeNWYjxKBAwMyqKJeYUJxMhTiaq8HemyzaEkJqJxhEgpBoor01K429vIsrldiXmhhDdKIychtiYfckrdBYJqQbkEqHWJ/4jx9tWcm4I0Q1VDVQNFAiYGU3wQiqLtt8aNVolhJSHAgEzixUnUyMtUmnKlgrIR7hbKCeEVEwJG6MXYjw6i5WARnMjlSVOJoJ85Kubf6wopZytCbEsBRMYvRDjUWNBMyo9KQwhlUYpQHEdZ/RbecTSOSGkXMbW81MbAdOgEgEzorpZYik5UQ7IeBCA28UeuFDQ2NLZIYRUYVQiQIiV89/zBLZPn6u0D0gZ0RmXg+rhQmZTAEAGXgdAwSmpWpiR0xAzGlnQJCgQMKHr77jDxskJADBRdLikFTdVCxAzqX9GCbdrjzR2GxQwhtfmA/Iyvz+uZ0GQNJ8GGCIWp4AACiMmDjJmX/IKhVMmNCEyDbHiZMSKk3F0REdLZ4dUc9qCgNLdCLWVAMglQuraSggBQIGAWdAFlphbrDgZzE7zn2/p7qrljThI3VqJpSmZsYMKWfoTVA8UCJgJdRkk5pQqCUf0plM6bVteqQAhlqR82UbAmIUYz2rO4qJFixAeHo5atWrBw8ND5/0uX76M/v37QygUws3NDWFhYcjJyVHZJjMzEz169ICLiws8PDzQrVs3PH36VO88HhlP1QGkcpQeK6A0TaVR2koFgqT55ZYYEEJqBqsJBIqLizF48GC8//77Ou9z/fp1dOnSBc2bN0d6ejp+/vlnfPbZZ3B62aAPKAkCoqOjERkZibNnz+LcuXOIjY2FjY3+p+b6O+5ULUDMLkiaj6AtBWo38TiZSGtxf5A0n1+414RYmhICoxdiPKvpNTB//nwAQEJCgs77zJo1C2KxGEuXLuXX+fv7q2wzbdo0TJkyBTNmzODXBQUFGZdZQsxILhGq3chTJeEIQvk3d7lEiFhxMuSlgtURian454WbWfJJSEWMHR2QRhY0DaspEdCXUqnEoUOH0LRpU0RFRcHb2xsdO3ZEUlISv01eXh7OnDkDb29vhIeHo169eoiIiMCpU7rVvRJiKaXr9+NkIp3q+7mqgCBpPqBUIkqaQUEAqZHWrFkDPz8/ODk5ITQ0FCdPntS6bUJCAgQCgdry7Nkzg9OsaqptIJCXl4fCwkIsWbIE0dHROHz4MGJiYvDWW2/h+PHjAIAbN24AAObNm4f33nsPKSkpeOONN9CzZ0/I5XKtaRcVFaGgoEBlIaSycTf/0kX+Ou030h3ykZ5UjUUszhKNBRMTEzF16lTMmjULFy9eRNeuXSESidTajpXm7u6O27dvqyylq5gNSbMqsWggMG/ePI2RVunlp59+MihtpVIJABgwYACmTZuGtm3bYsaMGejbty/WrVunss3EiRPx7rvvIiQkBMuXL0ezZs2wYcMGrWkvXrwYQqGQX3x8fAzKIyHGMLSeX1FLaeKcEGIYJYzpOmhYG4Fly5Zh3LhxGD9+PFq0aIEVK1bAx8cHa9eu1bqPQCBA/fr1VRZj06xKLBoIxMbG4vLly+UurVq1MihtLy8v2NnZoWXLlirrW7RowUdpDRo0AIByt9Fk5syZyM/P55fc3FyD8kiIMQwdGbD5N4UmzgkhhmFGNhRkLwOBsiW0RUVFGo9XXFyM8+fPIzIyUmV9ZGQkMjK0/z0VFhbC19cXr732Gvr27YuLFy8anWZVYtFAwMvLC82bNy93KV38og8HBwe0b98eV65cUVl/9epV+Pr6AgCaNGmChg0blruNJo6OjnB3d1dZCLEUfQMCbvsgaT5VD5BqwcfHR6WUdvHixRq3u3v3LhQKBerVq6eyvl69erhz547GfZo3b46EhATs378f27dvh5OTEzp37sxXHxuSZlVjNb0GcnJycP/+feTk5EChUCArKwsAEBgYCFdXVwAlX9jixYsRExMDAPj4448xZMgQvPnmm+jevTtSUlJw4MABpKenAygp7vn4448xd+5ctGnTBm3btsWmTZvw+++/Y9euXRb5nIToKlUS/qqdQAU9BsruN3lrKmzESkSZK3OE6MBU0xDn5uaqPJA5OjqWu59AoHpMxpjaOk5YWBjCwsL41507d8Ybb7yBVatWYeXKlQalWdVYTSAwZ84cbNq0iX8dEhICADh27Bi6desGALhy5Qry819dEGNiYrBu3TosXrwYU6ZMQbNmzbB792506dKF32bq1Kl49uwZpk2bhvv376NNmzZIS0tDQEBA5XwwQgzEBQGx4mSkSnUfGEguEUKeHEUzERKLM3Z0QG5fXUtmvby8YGtrq/aknpeXp/ZEr42NjQ3at2/PlwiYIk1Ls5peAwkJCWCMqS1cEACURGBjxoxR2W/s2LGQy+V4+vQpsrKyMGDAALW0Z8yYgdzcXDx+/BgZGRkqgQIhhJDqwcHBAaGhoUhLS1NZn5aWhvBw3YJpxhiysrL4NmamSNPSrKZEgBCiGVdFoGsvgk2DVuPcU/+KNyTEzExVNaCP6dOnY+TIkWjXrh06deqEb7/9Fjk5OZg0aRIAYNSoUWjUqBHfzmD+/PkICwtDUFAQCgoKsHLlSmRlZWH16tU6p1nVUSBAiJWTS4QQKHTffvTuD6hagFQJxg4TbMi+Q4YMwb1797BgwQLcvn0brVq1gkwm4xuI5+TkqAwx//DhQ0yYMAF37tyBUChESEgITpw4gQ4dOuicZlUnYIzRRI5GKigogFAohO//LYKNgb0cCDFGrDi53LkGOEVezuj/9ZFKyhWxRs8KX2BWh3Tk5+ebrUcUd83sd3gc7F0cDE7n+eNiHIiMN2teawIqESCkGoiTiRArTsYP7VtAMdVT4zaGjjtAiLlYomqAqLOaxoKEkPLFyUS4cqZJue8TUpUYNaqgkUEEeYVKBAipRrT1xBJk/4VYMZUIEELUUYkAIdWMppkII3/8wwI5IaR8VCJQNVAgQEg1VLo9wNWPyh9ljRBLoUCgaqBAgJBqKE4mAvvtGgDgw5BjFs4NIZoxwMhJh4gpUCBASDUl/+IN2Nw1bKpiQkjVtGDBAjx58kRt/T///IP+/fsblCY1FiSkmgmS5iNKmoHnzBb7MnohTtaYf6/pxntgDnaQS4Q0qBCxOOo+qL958+bh1q1bqFWrlsr633//HSdPnjQoTQoECKkm+Bu7uOSfb5IjEXQtH3c6vmo8ePXdOvz/uQGIaHwBYikUCBjm119/hYPDq4GYBAIB3NzcsHbtWoPSo0CAECsWJM3X+nTPjTKodFTCpkhzLaBcIgRezlVAJQSEWIe9e/fC29vbZOlRGwFCrBT3NF/RDbzZhkflbiOXCNH0279pwCFS6ajXgGEEAtN+bioRIMQKxYqT+SoATVIl4eqvJdq3v7bADUFf5JebJiGmRlUDhvnyyy/h6uqq8b05c+bonR4FAoRYoVRJuEnr9pV/1gJAPQwIsQbJycmws1O/fQsEAgoECCEvGwFquKkHSfPBBAJcG655lrYoaQY/eREhlYExAZgRT/XG7GutIiIisGfPHnh6ap5czBDURoAQK1ReaUB5N/LorT9qXB8kzVerTiDE3IwZTIhbappjx46ZNAgAKBAgxOrEipO13rTjZKIKb+jlBQpcTwNCSM1BVQOEWKmy7QS4cQEq2gcAYqWvgoHSvQVoTAFSmaixYNVAJQKEWJkipb3aOlPU7VMQQCob10bAmIUYj0oECLEy36X0AiQlxfg3ntaF7Fg7KB2YXnX8pbcNQj6YLV1QSeWjEgHdHT58GN27d4e9vfqDgLGoRIAQKyWXCOHv/A+CpPlotrHAqHSuDXWnxoKEVGGTJk1C3bp1MWTIEGzbtg0PHz40WdoUCBBipUzdzU8uEVa8ESEmRFUDurtx4wZOnDiB4OBgrFixAvXr10fPnj2xcuVKZGdnG5U2BQKEWDlj6vapXQCxJGbk8MI1KRAAgNatW2P27Nk4e/Ysbty4gcGDByMlJQUtWrRAmzZtMGfOHPz00096p0uBACFWiAb9IaRma9iwISZNmgSZTIa7d+9izpw5yM7ORnR0ND7//HO90qJAgBArFCcT8d3+jJksKFUSzgcVNIYAqWwMAGNGLJb+AFWEi4sLBg0ahM2bNyMvLw/vvfeeXvtTrwFCrFSQNB+p0nCNwwnrq6JJjAgxByUEEBgxOmBNHFmwIjY2Nqhbt65++5gpL4QQM5NLhCZp4KfLaISEkOqLAgFCrFjQpgeIkmZQi39ilajXQNVAgQAhVkw+2rjJR2K2pyNImk+9B4hFGNNjwNjBiMgrFAgQYuWMKdZfenAABQGEWBFbW1vk5eWprb937x5sbW0NSpMCAUKsnFwiRKw4Wa8bOt38SVVgVI+Bl0tNw7R86KKiIjg4OBiUJvUaIKQa+PpML/yr4w86b8/NXPjHNuoqQCzH2Hr+mtRGYOXKlQAAgUCA9evXw9XVlX9PoVDgxIkTaN68uUFpUyBASDVge8++ZDwBiW7jAcglQshlIsQOl1VC7gjRjAIB3S1fvhxASYnAunXrVKoBHBwc0KRJE6xbt86gtCkQIKQGogaChFiXmzdvAgC6d++OPXv2wNPTuIbCpVEbAUKqmYpu8HKJkIIAUiVQrwH9HTt2jA8CGGNa2wzogwIBQqqZlBGdkT3AQ+v7NE8BqSqosaBhNm/ejODgYDg7O8PZ2RmtW7fGli1bDE6PAgFCqplrw90x8R3Ndf/XhtLAQ4RYs2XLluH999+HWCzGzp07kZiYiOjoaEyaNIlvR6AvCgQIqYbiZCL8GalaKtBwXQ4+6EelAaTqKHmqN2ZkQcOOu2bNGvj5+cHJyQmhoaE4efKk1m2/++47dO3aFZ6envD09ESvXr1w9uxZlW3GjBkDgUCgsoSFhRmWuQqsWrUKa9euxRdffIH+/ftjwIABWLp0KdasWcP3LNAXBQKEVFNP66peJYPd/rRQTgjRzBJDDCcmJmLq1KmYNWsWLl68iK5du0IkEiEnJ0fj9unp6Rg2bBiOHTuGzMxMNG7cGJGRkfjrr79UtouOjsbt27f5RSYzT4+c27dvIzxcfRCx8PBw3L5926A0KRAgpBrbdmA9AEBwg4IAQoCSovVx48Zh/PjxaNGiBVasWAEfHx+sXbtW4/ZSqRSTJ09G27Zt0bx5c3z33XdQKpU4cuSIynaOjo6oX78+v9SuXdss+Q8MDMTOnTvV1icmJiIoKMigNKn7ICHVWPsd/0YDfyUGSTU/7RBiSezlYsz+AFBQUKCy3tHREY6OjmrbFxcX4/z585gxY4bK+sjISGRk6NaT5smTJ3j+/LnajT49PR3e3t7w8PBAREQEFi1aBG9vb90/jMvFzBMAACAASURBVI7mz5+PIUOG4MSJE+jcuTMEAgFOnTqFI0eOaAwQdEGBACHVRKw4GamScDxa8gxv+1zg16cta14y2FAZ3MBD1JWQWIqpBhTy8fFRWT937lzMmzdPbfu7d+9CoVCgXr16Kuvr1auHO3fu6HTMGTNmoFGjRujVqxe/TiQSYfDgwfD19cXNmzfx2WefoUePHjh//rzGgMQYgwYNwpkzZ7B8+XIkJSWBMYaWLVvi7NmzCAkJMShNCgQIqQZea1NSN6jppq6sVxux4mS1YICbujgKr4YcJsQa5ebmwt3dnX9d0c1XIFANPhhjaus0Wbp0KbZv34709HQ4OTnx64cMGcL/v1WrVmjXrh18fX1x6NAhvPXWW7p+DJ2FhoZi69atJkuPAgFCrFhFIwTGyUQIQn7JDIUS7dtAAuDlLIbcJEaEmJ2J6gbc3d1VAgFtvLy8YGtrq/b0n5eXp1ZKUNZXX32Fzz//HD/88ANat25d7rYNGjSAr68v5HJ5hXkyhEKhQFJSEi5fvgyBQICWLVuif//+NPsgITVJrDgZgdsK+Kd6bUrPOzCtz8Fyt5VLhJBLhDrNVUCISRjbY0DPagUHBweEhoYiLS1NZX1aWprGlvicL7/8EgsXLkRKSgratWtX4XHu3buH3NxcNGjQQK/86eLatWto2bIlRo0ahT179mDXrl0YMWIEXn/9dVy/ft2gNCkQIMQKpUrCIWCs3Cf3slUBB4d31Tn9pI96G5w3QnRliZEFp0+fjvXr12PDhg24fPkypk2bhpycHEyaNAkAMGrUKMycOZPffunSpZg9ezY2bNiAJk2a4M6dO7hz5w4KCwsBAIWFhfjoo4+QmZmJ7OxspKeno1+/fvDy8kJMTIxJzlNpU6ZMgb+/P3Jzc3HhwgVcvHgROTk58PPzw5QpUwxKk6oGCLEyuk4YpOnJXlNbgbK4qgFqN0CqoyFDhuDevXtYsGABbt++jVatWkEmk8HX1xcAkJOTAxubV8/Ia9asQXFxMd5++22VdLgGiba2tvj111+xefNmPHz4EA0aNED37t2RmJgINzc3k+f/+PHjOH36tEqvhTp16mDJkiXo3LmzQWlSIECIFeFu7iljuiI6QftoaFzbAE3rdZEq0V5MSoipWGoa4smTJ2Py5Mka30tPT1d5nZ2dXW5azs7OSE1NNSgfhnB0dMSjR4/U1hcWFsLBwcGgNKlqgBArVF4QAGifWChImq9TQ8CK2h4QYhJcPb8xSw3Tt29fTJgwAWfOnOFnHzx9+jQmTZqE/v37G5Sm1QQCixYtQnh4OGrVqgUPD+0zq5V1+fJl9O/fH0KhEG5ubggLC1MZSvLOnTsYOXIk6tevDxcXF7zxxhvYtWuXOT4CIUbTZQrhOJmo3Cf6VEl4hcEAV/KgawkCIaRyrFy5EgEBAejUqROcnJzg5OSEzp07IzAwEF9//bVBaVpNIFBcXIzBgwfj/fff13mf69evo0uXLmjevDnS09Px888/47PPPlPp/zly5EhcuXIF+/fvx6+//oq33noLQ4YMwcWLF83xMQgxWKw4Wac6flMoHWxQNQExF5qGWH8eHh7Yt28frl69il27duH777/HlStXsHfvXgiFhpXkWU0bgfnz5wMAEhISdN5n1qxZEIvFWLp0Kb/O399fZZvMzEysXbsWHTp0AADMnj0by5cvx4ULFwwepYkQU+MCgCBpPoKQjziIND7Vc9vok6Ym3M1f14aJhBjEVGMM1xDPnz9Hs2bNcPDgQbRs2RKBgYEmSddqSgT0pVQqcejQITRt2hRRUVHw9vZGx44dkZSUpLJdly5dkJiYiPv370OpVGLHjh0oKipCt27dtKZdVFSEgoIClYUQcyp7gy97sz8cEaBXetyNPlacTOMGEGIl7O3tUVRUpNMoiPqotoFAXl4eCgsLsWTJEkRHR+Pw4cOIiYnBW2+9hePHj/PbJSYm4sWLF6hTpw4cHR0xceJE7N27FwEB2i+sixcvhlAo5Jey41wTYg7anszjZCJc/aQpAM1dBrVJlYQjTiZClDSDr3YAgImiw8ZnlhAdWGIaYmv34Ycf4osvvsCLFy9MlqZFqwbmzZvHF/lrc+7cOZ1GcipLqVQCAAYMGIBp06YBANq2bYuMjAysW7cOERERAEqqAh48eIAffvgBXl5eSEpKwuDBg3Hy5EkEBwdrTHvmzJmYPn06/7qgoICCAWJ23FDAXB9/ft1LhtTlB0lVqxlo/ABS6WpY8b6xzpw5gyNHjuDw4cMIDg6Gi4uLyvt79uzRO02LBgKxsbEYOnRouds0adLEoLS9vLxgZ2eHli1bqqxv0aIFTp06BaCkMWFcXBwuXbqE119/HQDQpk0bnDx5EqtXr8a6des0pq1tiktCKgMXEAi6+GHr+TicfhpgVIO+IGk+UqWv9u+99bQpskkIMQMPDw8MGjTIpGlaNBDw8vKCl5eXWdJ2cHBA+/btceXKFZX1V69e5UeQevLkCQCojCIFALa2tnyJAiFVUaw4GRAD898aadJ0o6QZfCkDTTxEzM1SAwpZs40bN5o8TatpI5CTk4OsrCzk5ORAoVAgKysLWVlZ/HjPANC8eXPs3buXf/3xxx8jMTER3333Ha5du4a4uDgcOHCAH1GqefPmCAwMxMSJE3H27Flcv34d//3vf5GWloaBAwdW+mckRBel2wGYeuAfGjeAVCpmgoUYzWoCgTlz5iAkJARz585FYWEhQkJCEBISgp9++onf5sqVK8jPf3WRjImJwbp167B06VIEBwdj/fr12L17N7p06QKgpAWmTCZD3bp10a9fP7Ru3RqbN2/Gpk2bIBaLK/0zEqKL0jd/Uz61f7P/W5XXNH4AMT+BCRZiLKsZRyAhIaHCMQSYhtElxo4di7Fjx2rdJygoCLt37zY2e4RYvT2PWlk6C4QQC7CaQIAQUoLq7km1QQMKVQlWUzVACCnB9f8HSur0TdlOgAsygqT5NPEQMT9qI6CT2rVr4+7duwBKSrk1zT5oDAoECLEyUdIMBEnz0c/1UsmQwyYaGbD0sMIAlTwQUlUUFxfzI9hu2rQJz549M2n6VDVAiJXhxhE4UGj6On0aTIhUKmOnEq4h3Qc7deqEgQMHIjQ0FIwxTJkyBc7Ozhq33bBhg97pU4kAIVbMlDft3//lDLlESL0FSKWh2Qd1s3XrVojFYhQWFkIgECA/Px8PHjzQuBiCSgQIIfh9gits79oCAK6/Q20DCKlK6tWrhyVLlgAA/Pz8sGXLFtSpU8dk6VOJACFWimswaIpGff+KeDXRUMBOmo2QVBJqLKi3mzdvmjQIACgQIMRq2RaV1OmborFgqiQcAkVJQ0FqI0AqDddGwJilBjp+/Dj69euHwMBABAUFoX///jh58qTB6VEgQIiVUjiWlAaY4sa942A8PuiXTEEAIVXc1q1b0atXL9SqVQtTpkxBbGwsnJ2d0bNnT2zbts2gNCkQIKQaMOYGLpcIEbp9esUbEmJiAmb8UtMsWrQIS5cuRWJiIqZMmYJ//etfSExMxJIlS7Bw4UKD0qRAgBArlyoJh2x8hMH7fzFAarKxCAjRC7UR0NuNGzfQr18/tfX9+/fHzZs3DUqTAgFCrJxcIsSNt2rh2n8cDNp/+Y1eJs4RITqiNgJ68/HxwZEjR9TWHzlyBD4+PgalSd0HCakmPmiTjjiJSK+ne7lEiKAZph2PgBBiPv/+978xZcoUZGVlITw8HAKBAKdOnUJCQgK+/vprg9KkQICQaiJVEo4g6F/ET0EAsRiadEhv77//PurXr4///ve/2LlzJwCgRYsWSExMxIABAwxKkwIBQqoJuUSIWHEyVqVGo+nmggq3BWg+AWJhFAgYJCYmBjExMSZLjwIBQqqROJkIH4qTkbq5/GGCKQAghHCosSAh1Qw34qA2NL0wqTKo10CVoHcgsGLFCty6dcsceSGEmMj/t3fn4U1V+f/A36FAS4EGmEoLUra2Q9kRFNqKAg52E3FQWWPV+UJBnYoIOsoo++oGLh1WK/CTMFRUNumGCpWxFBStLGIp2xSBsoyQgJW2NPf3R7mXpEnaLDfJTfN+PU8e2pt7T86h0Pu553zOOdZu9uLwAZEicNaAItgdCEydOhX33Xcffv31V5PjFRUV+O6772SrGBE558H1BWbHGAQQUU0ODQ0kJCTg/vvvNwkGrly5gujoaNkqRkTO+XRenMn3HBIgpeHKgo6rqKhAUVERbt686XRZdgcCKpUKs2bNwlNPPWUWDAi+sjk0kRe4eLcKkzZtAwCcmalibwApD3ME7FZWVobx48cjMDAQ3bt3R0lJCQBg8uTJ0lbF9nI4WdBSMKBScbyGSEle3pwMAJjQ5VsP14SI5DB9+nT89NNP2L17NwICAqTjQ4cORUZGhkNl2j190Pipf9asWQCA+++/3+EKEJG8IjZUryHQoOImzi9UoVv6MdzT5CS++6Ozh2tGRM7asmULMjIyEB0dbfLw3a1bN5w4ccKhMu0OBBYsWICmTZtK34vBwEMPPeRQBYjIMZFaHeK1+Wje4AauGW4/GSDp9pct/MqQMWYotmoGWC3j9CMtMGlUpotrS2ROBefG+X2xD/rSpUto3bq12fHff//d4V55u4cGpk+fbhIIANXBwOTJk9G8eXOHKkFEtmv9vWCyn4BJEFBDxpjaNxQq1qgxaVQmcjSxda4/QCQ7Th+02z333IMdO3ZI34s3/9WrVyMmJsahMm0KBE6fPo1vvvkG27dvxy+//IKPP/4YgwYNQpMmTXDHHXdgxYoVeP3113H16lWHKkFEtUtNysJziTmI1OowdmYW4rX5de4RYHxjr20jorTMRGlGgRgQrFmdZPV8Im+3bNkydOrUCQEBAejXrx/27NlT6/mfffYZunXrBn9/f3Tr1g2bN282eV8QBMyePRtt27ZFkyZNMHjwYBw5csQldV+0aBFee+01PPvss7h58ybee+89PPjgg1i7di0WLFjgUJk2BQJ33nknnn/+eXz77bfo3r07nnrqKRQUFGD48OGYP38+ioqK8PTTT6OqqsqhShCRdalJWcjRxGJZVjzitfmosrFD1J5dCEXigkNtdzOoJzfwwKyBjIwMTJkyBa+99hp+/PFH3HfffUhMTJSy72vau3cvRo8ejeTkZPz0009ITk7GqFGjsG/fPumcN998E0uWLEFaWhq+++47hIaG4sEHH8S1a9fsr2AdYmNj8e2336KsrAzh4eHIzc1FSEgI9u7di379+jlUpkqwYc7fmTNn0LFjR5w7dw43btxAcXExevfujTvuuEM6R6vV4tChQw5PX/Bmer0earUaHeYvQIMA6920RI4Y8ZcCHP6/rnbtEvjeN3GIWnnd5Fi8Nt+u7v+IjXocHxPEaYc+5sb1m3it/27odDoEBQW55DOk35kLnfudabhxA//952t21XXAgAHo27cvli9fLh3r2rUr/vrXv2LRokVm548ePRp6vR5ZWbf/HyQkJKBly5b497//DUEQ0LZtW0yZMgWvvPIKAKC8vBwhISF44403MGnSJIfb5y429Qjk5OQAqO7+6NChA4YOHWoSBADAAw88YPIXS0TOi9TqsPmraLuCgBxNrFkQIB63h6pKcKhXgcjd9Hq9yau8vNzieRUVFThw4ADi4kwX24qLi0N+vuX/Y3v37jU7Pz4+Xjr/1KlTKC0tNTnH398fgwYNslqmvWq2r7aXI2wKBPbv34/OnTsjNDTU6jmLFy+GwWCQZZUjInJ8OeDaVhAcNZTrCZByyLWyYFhYGNRqtfSy9GQPAJcvX0ZVVRVCQkJMjoeEhKC0tNTiNaWlpbWeL/5pT5n2atGiBVq2bFnrSzzHETZNH/Tz80NiovUuxStXrmDFihV49dVX0bAhdzYmkoP4BG9PQJCWmSitI2DJJ1/ea3NZUkChieVmReQazq4OeOvaM2fOmAwN+Pv713pZzWl2giDUOvXOlvPtLdMeu3btkqUca2y6az/88MMoKDDfwERUVVWFyspKTJkyRbaKEfk6R26+YX3OQaVtavX9SK0Ov/y9Kfyu2hawi0MDkVodcrSxdg1RELlLUFCQTTkCwcHB8PPzM3tSv3jxotkTvSg0NLTW88We8tLSUrRp08amMu01aNAgWcqxxqahgaSkJAwZMsTq+8HBwRg1apRslSLydalJWUhNyrJ7bn/Ay9aDANELsTttLs94mKFoAtcJIZm5edZA48aN0a9fP+zcafp/YOfOnYiNtZxDExMTY3Z+bm6udH6nTp0QGhpqck5FRQXy8vKslumMgwcPWnwdOnQIxcXFVvMjamNzP35tgQAAbNy4EX/88YfdFSAiU5FaHZBUPTQQCduexHNudd9Hou7kPrFcW3cjLNaoEanVYfKQHJvOJ7KVszsIOnLt1KlTkZycjLvvvhsxMTFYtWoVSkpK8MwzzwAAnnzySdx5551SnsELL7yA+++/H2+88QYeeeQRbN26FV9++SX+85//VNdBpcKUKVOwcOFCREZGIjIyEgsXLkRgYCDGjRvneOOs6NOnT61DDo0aNcLo0aOxcuVKk70IauPwpkOWNGnSRM7iiHxSsUZtd4Z/vDbfrgz/eG0+/rzwF5vOTU3K4hbGVG+MHj0a7777LubOnYs+ffrgm2++QWZmJjp06AAAKCkpwfnz56XzY2NjsXHjRqxZswa9evXC2rVrkZGRgQEDbi/b/Y9//ANTpkzBc889h7vvvhtnz55Fbm6uS1bb3bx5MyIjI7Fq1SoUFhbixx9/xKpVq9ClSxds2LAB6enp+Prrr/H666/bXKZN6whQ7biOAMlNXERIVFuPQFpmotn5trDl5i7mKOQwYdBnuHMdgU5zFjq9jsCpWf90aV2Vpn///pg3bx7i4+NNjufk5GDGjBnYv38/tmzZgmnTptm8CRFT/Im8jDQMICby3Ro+sIfxTb22PISawUWOhgmDJCOZZg34kkOHDkm9F8Y6dOiAQ4cOAagePjDu1aiLrEMDRCQPazdnMQgAqm/mjt6UI7U6uxMR2RtAcpNrHQFfEhUVhcWLF6OiokI6VllZicWLFyMqKgoAcPbsWbtmLLBHgEihxBu++OSflpkIaEzPsXc4wJg4JTBVa7lnIDUpy6SnIS0zUTqXiDzjX//6F4YPH4527dqhV69eUKlUOHjwIKqqqvDFF18AAE6ePInnnnvO5jKZIyAD5giQO7hyuV/jngUxIKj5eRwS8A3uzBHoPNP5HIGTc30rRwAArl+/jvXr1+PYsWMQBAFRUVEYN26cw8mJ7BEgUjgpYc/OPABbFWvUME47Uh8HdBG1n0MkC2e79330MbZZs2bSdEc5MBAgUjB3jMtHanVIQ6L0ecmTs7DhzUS8seUjfP179ZgjgwAi5Th27Bh2796NixcvwmAwmLw3c+ZMu8tjIEDkJYxnCshNLFfsdfhNAykIIHIZzhqw2+rVq/Hss88iODgYoaGhJosLqVQqBgJE9YmnsvSPj61OUhTXJyByGQYCdps/fz4WLFiAV155RbYyOX2QSIGsPfm7I2FPMPqt4MysBCKS35UrVzBy5EhZy2QgQKRAJ0ZbXvUvp1+oSz+3ZqDBmQLkSlxHwH4jR45Ebm6urGVyaIBIgZ4bnmWyil+OJhbQAPEHSpGj6eyyz625lkBaZiJUVcDfH+YQAZESREREYMaMGSgoKEDPnj3RqFEjk/cnT55sd5kMBIgUSOySF4MBcUlgV3bVx2vzUWxhtUHBz2UfSUR2WrVqFZo1a4a8vDzk5eWZvKdSqRgIENUXxRo1Ij++AjRogIz5CUh93bVBAHC716EmcVtkItkxWdBup06dkr1MBgJEClWc3BKA+U6ErhKvzUc8bg8PSDMGGASQizg7zu+LOQKu4DWBwIIFC7Bjxw4UFhaicePGuHr1ap3XGM+vNPbmm2/i5ZdfBlCdgTl58mRs27YNADB8+HB88MEHaNGihXyVJ3KQeDOO1+a7PYNf/DxuP0wuxZu53X799Vds27YNJSUlJpsPAcCSJUvsLs9rAoGKigqMHDkSMTExSE9Pt+mamtswZmVlYfz48XjsscekY+PGjcOvv/6K7OxsAMDEiRORnJyM7du3y1d5Igdl92mNhMKLAFwfDBgnJ4rTF28292cQQKQgX331FYYPH45OnTqhqKgIPXr0wOnTpyEIAvr27etQmV4TCMyZMwcAsHbtWpuvCQ01nWq1detWDBkyBJ07V2ddHz16FNnZ2SgoKMCAAQMAVK/aFBMTg6KiInTp0kWeyhM5SNU9AkB1ICDu/ufKYOCD3AQ8n5TF4QByD+YI2G369OmYNm0a5s6di+bNm+Ozzz5D69atodFokJCQ4FCZPrOOwIULF7Bjxw6MHz9eOrZ3716o1WopCACA6OhoqNVq5Odz/jQpj6uHB1Q3VTheZvs+5kTO4DoC9jt69CieeuopAEDDhg3xxx9/oFmzZpg7dy7eeOMNh8r0mUBg3bp1aN68OR599FHpWGlpKVq3bm12buvWrVFaWmq1rPLycuj1epMXkSsYDwe4chtioDoXAACydzvWvUhErte0aVOUl5cDANq2bYsTJ05I712+fNmhMj0aCMyePRsqlarW1/fffy/LZ3300UfQaDQIqLH3taWEQkEQrCYaAsCiRYugVqulV1hYmCx1JKopLTNRukGLf8qtWKN2WdlEtRJkePmY6OhofPvttwCAhx56CNOmTcOCBQvwf//3f4iOjnaoTI/mCKSmpmLMmDG1ntOxY0enP2fPnj0oKipCRkaGyfHQ0FBcuHDB7PxLly4hJMR69+j06dMxdepU6Xu9Xs9ggFwuNSkLaUiUvWdATAYUpw1y3QByF04ftN+SJUtw/fp1ANUP09evX0dGRgYiIiKwdOlSh8r0aCAQHByM4OBgl39Oeno6+vXrh969e5scj4mJgU6nw/79+9G/f38AwL59+6DT6RAba30s1t/fH/7+/i6tM5ElqbcS+eTMFRADAJUARGzQcX8BIgUTk90BIDAwEMuWLXO6TK/JESgpKUFhYSFKSkpQVVWFwsJCFBYWSpERAERFRWHz5s0m1+n1emzatAkTJkwwK7Nr165ISEhASkoKCgoKUFBQgJSUFAwbNowzBkhRjPcAkDthMFKrQ9iXlYjY4NocBCIzHBpQBK+ZPjhz5kysW7dO+v6uu+4CAOzatQuDBw8GABQVFUGnM/1ltnHjRgiCgLFjx1osV6vVYvLkyYiLiwNQvaBQWlqaC1pA5Jy0zET8X/zXspYp5gZwrQDyCE4fVASvCQTWrl1b5xoCgmD+r2LixImYOHGi1WtatWqF9evXO1s9IrcI9CuXZWEhsfvf0iZDRORbvGZogIhu4zg+1QdcR0AZvKZHgIiqyZEj8P73DyC5z77bMxA4S4A8gUMDDquoqMCpU6cQHh6Ohg2du5WzR4DIi4jrCjjaIxCvzUexRo0GF/3RsuHv1TsOsneBPIXJgnYrKyvD+PHjERgYiO7du6OkpAQAMHnyZCxevNihMhkIEHkZORL7AsK5GiaRN5o+fTp++ukn7N6922SBvKFDh5qtlWMrDg0QeRlxKmGDUUD4J3ZM+TMYUG5ohEgt1wogZeCCQvbbsmULMjIyEB0dbbICbrdu3UyWG7YHewSIvNRzj9jeM1CsUaM4uSX8G1QyCCDl4NCA3S5dumRxj5zff/+91qXxa8NAgMhLpdkx9a/RNZXLNy0iIte75557sGPHDul78ea/evVqxMTEOFQmhwaIvFixRl3nDb5Yo0ZqUiYw2k2VIrIRhwbst2jRIiQkJODnn3/GzZs38d577+HIkSPYu3cv8vLyHCqTPQJEXqyuxEFbAgUij+HQgN1iY2Px7bffoqysDOHh4cjNzUVISAj27t2Lfv36OVQmewSIvFhaZiIiYflGX6xRI3L9VcRv2OvmWhGRK/Xs2dNkyX1nsUeAyMtZSv6rHg7IYhBAysYeAbv98MMPOHTokPT91q1b8de//hX//Oc/UVFR4VCZDASIvNzqX+41+X7Yhj3cRIi8gkqGlytduXIFycnJUKvVUKvVSE5OxtWrV62e/9tvv+H5559Hly5dEBgYiPbt22Py5Mlmm+GpVCqz14oVK2yq06RJk3Ds2DEAwMmTJzF69GgEBgZi06ZN+Mc//uFQOxkIEHm58pNB0tfCEh0qBT8P1oao/hg3bhwKCwuRnZ2N7OxsFBYWIjk52er5586dw7lz5/D222/j0KFDWLt2LbKzszF+/Hizc9esWYPz589Lr6eeesqmOh07dgx9+vQBAGzatAmDBg3Chg0bsHbtWnz22WcOtZM5AkQKk5qUhbTMRLM/ayUIgEqFhJAj7qkkkRwUvNfA0aNHkZ2djYKCAgwYMADA7Sl6RUVF6NKli9k1PXr0MLkZh4eHY8GCBXjiiSdw8+ZNkz0BWrRogdDQULvrJQgCDAYDAODLL7/EsGHDAABhYWG4fPmy3eUBDASIPE7M6s/K3IDEpHFYUZaE1MczpSAAsD47oKzKH598+BecGNMCL/11K8oMjd1WbyJnyTV9UK83XTLb398f/v7+TtQM2Lt3L9RqtRQEAEB0dDTUajXy8/MtBgKW6HQ6BAUFmW0MlJqaigkTJqBTp04YP348Jk6ciAYN6u6kv/vuuzF//nwMHToUeXl5WL58OQDg1KlTCAkJsaOFtzEQIPIA8ebf8l/ncUXbBsUaNd690tEk8c+Wcf5Av3I8PSkTOWOj8ZbfIxBuDZq+8YgWr2zVMFeAlE2mHoGwsDCTw7NmzcLs2bOdKBgoLS21uIJf69atUVpaalMZ//vf/zBv3jxMmjTJ5Pi8efPwl7/8BU2aNMFXX32FadOm4fLly3j99dfrLPPdd9+FRqPBli1b8NprryEiIgIA8OmnnyI21rGdSRkIELlZalIWcrTV/2H350chVZuFeCfKiw0sRk6DWCkIAIBXtmoQqdUhRxvLqQQ3LgAAIABJREFUJYWp3jtz5gyCgm7nytTWGzB79mzMmTOn1vK+++47ALC4ZK8gCDYt5avX6/HQQw+hW7dumDVrlsl7xjd8cbx/7ty5NgUCvXr1Mpk1IHrrrbfg5+dYfhADASI3MH4yz9FUBwHiFD9nPN/iJIY9VJ1kdFyzHBHaZ6X3ijXq6j9v5RdwsyFSJBnG+YOCgkwCgdqkpqZizJgxtZ7TsWNHHDx4EBcuXDB779KlS3V2wV+7dg0JCQlo1qwZNm/ejEaNGtV6fnR0NPR6PS5cuOBw977xToT2YiBA5AZpmYkmK/zFa/Od6gUAgOwn70VO1e2uwMSkcYDG+vnFGjXiUR2IMCAgJfDEEsPBwcEIDg6u87yYmBjodDrs378f/fv3BwDs27cPOp2u1i54vV6P+Ph4+Pv7Y9u2bTbdoH/88UcEBASgRYsWdZ5bVVWFpUuX4pNPPkFJSYnZ2gG//fZbnWXUxOmDRG5gHASIT+rOUlXZ/1tQnH2QMzbark2LiHxN165dkZCQgJSUFBQUFKCgoAApKSkYNmyYlCh49uxZREVFYf/+/QCqewLi4uLw+++/Iz09HXq9HqWlpSgtLUVVVRUAYPv27Vi9ejUOHz6MEydO4MMPP8Rrr72GiRMn2pTgOGfOHCxZsgSjRo2CTqfD1KlT8eijj6JBgwYO50UwECByIzmGA3I0sdLwQk22lF2sUQO3spOtlUPkFgpfWVCr1aJnz56Ii4tDXFwcevXqhY8//lh6v7KyEkVFRSgrKwMAHDhwAPv27cOhQ4cQERGBNm3aSK8zZ84AABo1aoRly5YhJiYGvXr1wnvvvYe5c+finXfesblOq1evxksvvYSGDRti7Nix+PDDDzFz5kwUFBQ41E4ODRC5kRxZ/HJsJCT2SsRr83Ff4DGM/vQFzjAgt1P67oOtWrXC+vXrrb7fsWNHCMLtSgwePNjke0sSEhKQkJDgcJ1KS0vRs2dPAECzZs2kVQuHDRuGGTNmOFQmAwEiFzC7qSY5X2aaUdKfNYMDi5AG27v80zITgSRwhgGRl2jXrh3Onz+P9u3bIyIiArm5uejbty++++47h9dOYCBA5ELGMwQAx3sEaiYbWjN9xN9qTRi0VnZ44+toUFHlUN2IHKbglQWVasSIEfjqq68wYMAAvPDCCxg7dizS09NRUlKCF1980aEyGQgQuUhtWwS7Srw2H9DE2p2QeGJks+ovbl3LYQJyB6UPDSjR4sWLpa8ff/xxtGvXDvn5+YiIiMDw4cMdKpOBAJGLGD/BR2p1Ds0WyLl1Y7Y1JyBHE4vUTz/HC5v/ZvdnRWyoXqY1UquTZSiDiFwvOjoa0dHRTpXBQIBIwRxJDCwut38jEwA4Pi5I+iyuNUBuwaEBhxw7dgy7d+/GxYsXpQ2IRDNnzrS7PAYCRAqUY9RFLy5H7A5yzEggshkDAbutXr0azz77LIKDgxEaGmqy3LFKpWIgQKQUlvIDbO1yNx4OcCQIEBMLHV24SPxscZYC8wXIVZgjYL/58+djwYIFeOWVV2QrkwsKEbmJLV3taZmJTj+VpyZlOdWtzxs/kXJduXIFI0eOlLVM9ggQuUhdN/Sa6wIYTzF0Zjggx4FZA5ZIdWfiILkKhwbsNnLkSOTm5uKZZ56RrUwGAkQuJN6QxZuqpfX9pel6t9YccDYnQNzQyNGAgMsOk7uoBAGqOlbiq+t6X/D+++9LX0dERGDGjBkoKChAz549zXY2nDx5st3lMxAgcoNijVraDtjVnM34Z8IgkbIsXbrU5PtmzZohLy8PeXl5JsdVKhUDASKlMR5vF5+047X5SMtMrB4CuHXTlvsp3NnhATEY4BRCcikODdjk1KlTLi2fyYJELmIt6S5HE2uSle+KrnhxuIFP9qRk4qwBZ16+TBCEOjc5sgUDASKZRWp1NmXeu/ImLZZt7xO9WPfUpCwUa9To2PiyK6pHRE5IT09Hjx49EBAQgICAAPTo0QMffvihw+VxaIBIRkrqTheHH+whDltEanVI1WbhpS3JADilkFyEQwN2mzFjBpYuXYrnn38eMTExAIC9e/fixRdfxOnTpzF//ny7y2QgQCST1KQspCER8Z6uyC3igkTiwkZ15QyIOQvu3iiJfBcXFLLf8uXLsXr1aowdO1Y6Nnz4cPTq1QvPP/+8Q4EAhwaIZJKjia31ydkTPQXFGnX1dEJtvtTlb4kYBBgTv2eeAbmMIMPLx1RVVeHuu+82O96vXz/cvHnToTIZCBDJQFzS19I6AUB1N72195TgvT1xVt9TylAHEQFPPPEEli9fbnZ81apV0Gg0DpXJoQEiGcRr84E6puwp5ck6NSnLLCiJWnHdQ7UhX8ahAcekp6cjNzdX2n64oKAAZ86cwZNPPompU6dK5y1ZssSm8hgIEMnI0sZCOZpYRPjpPVKfZSM+xNLHR9b6VF9bgGLrRklEDmGyoN0OHz6Mvn37AgBOnDgBALjjjjtwxx134PDhw9J5xrsS1oWBAJEMLO02eOT6ndj1TS9AY3kM3h2WPj6yOk+gxvGA/6lw40/Wf4sa73tARMqxa9cu2ctkIEAkE2nrYE0sVBU3cexvf5Le8+T6/eLsAWlPAwATkjMt1mvSpm14aUsyAwByG1/t3lcSBgJEMirWqNFp6x9oeF05OQEiMSAQ3VT74yGt6dPF6YpgBgHkPoJQ/XLmenIaZw0Qyeyhlbs9XYU6DduwB6eGBWDnsN6ergoReRgDASK5qATpaVrJU+7itflYumMYAKDoubYerg35Mu41oAwMBIhkkpqYbfK9M7v/uYq4hLAxT+YvkI/jgkKKwECASAaWxtWVliMAwOKiRkoMWIjIfRgIEMnA22+wSl71kOovlcH5FzmPgQCRDGqu1hegqlRUj0C8Nt8rVj0kH8OhAUXwmkBgwYIFiI2NRWBgIFq0aGHTNSqVyuLrrbfeAgCcPn0a48ePR6dOndCkSROEh4dj1qxZqKiocGVTqB7K0cSa3Ezf3jFcMT0CSqkHUU1MFlQGr1lHoKKiAiNHjkRMTAzS09Ntuub8+fMm32dlZWH8+PF47LHHAAC//PILDAYDVq5ciYiICBw+fBgpKSn4/fff8fbbb8veBqq/xMV6cjSxJl8rQaRWhzSw65+ILPOaQGDOnDkAgLVr19p8TWhoqMn3W7duxZAhQ9C5c2cAQEJCAhISEqT3O3fujKKiIixfvpyBANktLTMR0Jgv3ONJYm+AuDuiJZFaHUJXnHFntYiqcUEhRfCaoQFnXbhwATt27MD48eNrPU+n06FVq1a1nlNeXg69Xm/yIgKqcwWUtoaALXUqfSbMTbUhuo1DA8rgM4HAunXr0Lx5czz66KNWzzlx4gQ++OADPPPMM7WWtWjRIqjVaukVFsZfomQ6hdAbxuUjtTqvWACJiFzLo4HA7NmzrSb0ia/vv/9els/66KOPoNFoEBAQYPH9c+fOISEhASNHjsSECRNqLWv69OnQ6XTS68wZdquSMlmbDZCalIVijRppmYleEbRQPcVZA4rg0RyB1NRUjBkzptZzOnbs6PTn7NmzB0VFRcjIyLD4/rlz5zBkyBDExMRg1apVdZbn7+8Pf39/p+tF9UtaZqIiN+wxqVcDAZEf65GjjZW2TWYgQJ7ibPc+hwbk4dEegeDgYERFRdX6svYEb4/09HT069cPvXubb7By9uxZDB48GH379sWaNWvQoIHPjJaQjCI26KWn75xxMR6ujSnjXoHIj83zWbiGAJFlV65cQXJysjQMnJycjKtXr9Z6zeDBg816tms+8DpSrit5zV2vpKQEhYWFKCkpQVVVFQoLC1FYWIjr169L50RFRWHz5s0m1+n1emzatMlid/+5c+cwePBghIWF4e2338alS5dQWlqK0tJSl7eH6pfj44JQrFFXTx98ooWibq4PrN8n9QrM+vxj6bjYE8D8APIYcdaAMy8XGjduHAoLC5GdnY3s7GwUFhYiOTm5zutSUlJw/vx56bVy5UpZynUVr5k+OHPmTKxbt076/q677gIA7Nq1C4MHDwYAFBUVQacz/QW8ceNGCIKAsWPHmpWZm5uL48eP4/jx42jXrp3JewKnpZAD4rX5iAc8Pn3QeHOh4qw46XjBH+HSjT8eAJI8UDmiW5Q8NHD06FFkZ2ejoKAAAwYMAACsXr0aMTExKCoqQpcuXaxeGxgYaDZ9XY5yXcVregTWrl0LQRDMXmIQAFTfvJ9++mmT6yZOnIiysjKo1ebjoE8//bTFMhkEkDcrTg7i3gFETtq7dy/UarV0swaA6OhoqNVq5OfX3oum1WoRHByM7t2746WXXsK1a9dkKddVvKZHgEjpIrU66Qm7WKP2yPBAsUYNcCMW8hbOZv7furbmWi5yJHSXlpaidevWZsdbt25d6/CxRqNBp06dEBoaisOHD2P69On46aefsHPnTqfKdSWv6REgUjrj7HtPzR5ITcpSVH4CUW3kWlAoLCzMZG2XRYsWWf1Me6atq1Qqs+sFQbB4XJSSkoKhQ4eiR48eGDNmDD799FN8+eWX+OGHH26324FyXYk9AkQyEvca8FRvQLyV94x7K4gUwyBUv5y5HsCZM2cQFBQkHa6tN8DWaesHDx7EhQsXzN67dOkSQkJCbK5i37590ahRIxQXF6Nv374IDQ2VpVw5MRAgkpG04ZAHkgXFm33NngmlbH5E5CpBQUEmgUBtgoODERwcXOd5MTEx0Ol02L9/P/r37w8A2LdvH3Q6HWJjbf8/deTIEVRWVqJNmzaylisnDg0QyUgp3fLiEEGOJrZ6JgOnCJISKXhlwa5duyIhIQEpKSkoKChAQUEBUlJSMGzYMCmz/+zZs4iKisL+/fsBVC9TP3fuXHz//fc4ffo0MjMzMXLkSNx111249957bS7X3RgIEMlIvOE2uHKtjjNlZDCgWKOWlgxudE0l9QIwACAlU8HJHAEX10+r1aJnz56Ii4tDXFwcevXqhY8/vr0WR2VlJYqKilBWVgYAaNy4Mb766ivEx8ejS5cumDx5MuLi4vDll1/Cz8/P5nLdjUMDRDISn8ANLZu7/LMsLQ0sJSmOdvnHE9V7rVq1wvr1662+37FjR5Pp5mFhYcjLy3O6XHdjjwCRjNy1br+Yi0Dk1RS+sqCvYCBA5AL91/3k9s9USn4Cka3kmj5IzmEgQOQCuW/c59LyI7U6s9UDuYsgETmCOQJEMvvXjkRE/Oyap/PapgYyMZC8jkwrC5JzGAgQyezvD2UhTZUoW1e9mA9g3AMQkXENSOLNn7ybShCgcmKc35lr6TYODRApXFCX38yGARLW/cdDtSGi+oaBAHm9SK0OkVqdWRa98br7xu+lJmW5NOM+LVPe3gB9USupjZbaSeS1DDK8yGkcGiCvJi7nK66zL3ahR2p10jK/4tcRja5DVVl1+zh00pi7eOOWI+EuUqtzer+BeG2+1AuQmpTFfQKoXuLQgDKwR4C8lnGynLicbo4m1uINuFijRsLaPWbHI+ceNgkCImcfdLpecmw6ZBIEENVXCl5i2JewR4C8krXNdCwttCMFBzWS69IyE5GalA/gzO0lefefBTQdqr82eiq3h6Gx4FAwULMXwJHPJiKyF3sESPHEsXFj9uyoZ23THeOAwdL7OZpYNPpdhUitDi8kZdr8eQ0qVA71CNTsBWBvANV7XFlQEdgjQIoljrWLN+n4W8etPSnHa/NR7MRTtHjjrRkU5GyJxXvZiVJ95HRmpgo3TgSZfD6Rr3B2dUCuLCgPBgKkWDVvulIvgMb6/HlX3EzjtfnVQUgCUHwrEdHRYQNjxRo1UrtkAZ7ZeZSICACHBkiBxClyxt3r9gwFuFJqUhaKNWqcLW/pcEJgvDYfVxZWoPOWP2SuHZGX4dCAIrBHgBTNeBogcLuXoDrRzzNd6eLn3qnNh2rUABgaN8TxcUF1XlesUaPBzeqvx3T4HljlyloSKZ/KUP1y5npyHgMBUpx4bb7VHgDjdQKUMLc+7pN90tdrVybhetitJxRBAFQqAMC1xTfweNgPUo4DEZGScGiAFCVig96m85S4097TkzLRMbMcAFDVzB+qyio8siEPj4f94OGaESkUhwYUgT0CpCjHxwXVmQ+g5Oz6YWlfY3BgEeZHP4TYlidxQ2jk6SoRKRd3H1QE9giQotR1k1f6IjvPtijGP5OeQOH+CCQ2O+zp6hAR1Yk9AqQoaZmJiITlbHxpGp8CSfsbIBbwB2BQ4eFN0wBAmm5IRKa414AyMBAgclCOJlZaStha8AJU5zMUZyZiz+i3kHGthxtrSKRwzo7zMxCQBYcGiBzw3p44u/cTePvS/cjpf6cLa0XkZQQ4twUx4wBZsEeAlMdgABrcjlEtbSTkKeIQQBSuWz3H2lLHW78eAMwGoOmgqDYRkW9jIECKc7NlEzTUVU/DU0pegBgA1DYEIHq+xUmk1fJ+sUaNp+N3Ietv9+HEyGYMCMhnMUdAGTg0QIpzaliAp6sgydHE2j1TIXLzs3WeszZnCBLX7HF4mWKiekGAk+sIeLoB9QMDAXIb8clXvPmJf1p6IhZUKo9k2qdlJkrrGKRlJiJem29xG+TaTB6SY/NnFWvUyJw4WPHTIomo/mIgQC5lfPM3XigoNSkLVU0bS0sGG58bsUGPY+Obub+ytxRr1Gjb6ApSk7Ic2uzoqaCf7To/adVuRGp1uF6lnJ4QIrfgyoKKwBwBcgnxCTpHG4tI3J5HHw9IewQkrdoNwLRHIDUpC0gCVJpYpP1h/SnZ+CbtTM+BGIREanXSssWpSVn459ZxDnfbr9N3s7sOhgkG4Mm+uPf//YBmfjcc+lwir2MAoHLyenIaAwGShXgjNX7CBxzL+Bdv8MY355rSMhMBza1vbp1vy2cZP+ELDRsAo6u/jtfmS+WIwYsj4rX5DnXzN/ijAS7Ou4lvn+x7uz5ERG7AQIBkI96Exad6AE5n/NcMLGpTc0dC4wV/xBurpcDC0SEAS3I0sUjV2l5nY61n3P7v6MltlonchbMGlIGBADnNuAs9x46nc0tq3pBzNLH48LOVmPD5JKvXiDd3sR7STVhz+/14mO5TYHzzz9HKEwRIddHE3u6tsPdaAAGXVYjUXkUaEvHSQ9u4cRHVX1xZUBGYLEhOE5+25XqqrumNx8bYdF6xRl3rk7hxj4Wr6irHU/yN4Nu/HN/eMdzp8oiIasMeAXIJR26ItW04JJZp6UZv/FnicEDN96S8A+hk7QGwxFpegz3iN+yVchbSwGECqqfYI6AIDATIaXI8XYsr91kTqa2+gadqs0yuqRkEiOdKx1x807ek/c5KlDzoXHe+mAwprWGQVPc1RF6HgYAicGiAnFbzCbjf2kMu+yzjlf4itTrpa1d19dtD/Hvwv1jm4ZoQeQlnNhwSX+Q09giQ7IIbXbP5XOObuq3E3oGaX3ua+OQux9CASEy6NB7y4DABEcmJgQDJ6u0t6dj5e9c6zzMes68vnJkxYAtpVgRzBqie4PRBZeDQAMlCnDlgLQgwTvITn27FV32RmpTlloWAuFER1RsKX2L4ypUrSE5OhlqthlqtRnJyMq5evWr1/NOnT0OlUll8bdq0STrP0vsrVqxwaVtqwx4BkkVaZiIiGl7DxYogfPLlvRbPydHEIl6bb9LFrYSxfaWrazYFEbnGuHHj8OuvvyI7OxsAMHHiRCQnJ2P79u0Wzw8LC8P58+dNjq1atQpvvvkmEhNNZzytWbMGCQkJ0vdqteceihgIkMNqrve/8/0eVoMA4PbCPsb7ENQ3X1+Ockm58dp8Bk1U/xgEQOXEU73BdT0CR48eRXZ2NgoKCjBgwAAAwOrVqxETE4OioiJ06dLF7Bo/Pz+EhoaaHNu8eTNGjx6NZs1MN1Jr0aKF2bmewqEBqlNqUpbJVrypSVnSGHW8Nl/qDjf8KajWbuv6PK4t9nL8vL+TS8oXtywWP4dBAdULMg0N6PV6k1d5ebnTVdu7dy/UarUUBABAdHQ01Go18vNtGwI8cOAACgsLMX78eLP3UlNTERwcjHvuuQcrVqyAweC5KRDsEaBaiVn5JrsHWmDcfW28WZDxOv91rRXgzYy3W3Zl3kNqUhauxwfg2yf7mm3fTOSrwsLCTL6fNWsWZs+e7VSZpaWlaN26tdnx1q1bo7S01KYy0tPT0bVrV8TGmgbu8+bNw1/+8hc0adIEX331FaZNm4bLly/j9ddfd6rOjmIgQHUSu/Rr0/lz07nz4g3feDe++hoEuNvanCGIhM6uDZmIlMnZhL/qa8+cOYOgoCDpqL+/v9UrZs+ejTlz5tRa6nfffQegOqnP7BMFweLxmv744w9s2LABM2bMMHvP+Ibfp08fAMDcuXMZCJCyiOP/8dp8m3YQ9Puj0uLxHI3jW/p6I1f2BojrFEg5Frf+bjmdkLyWTCsLBgUFmQQCtUlNTcWYMbXvX9KxY0ccPHgQFy5cMHvv0qVLCAkJqfNzPv30U5SVleHJJ5+s89zo6Gjo9XpcuHDBprLl5jU5AgsWLEBsbCwCAwPRokULm66xNo3jrbfeMju3vLwcffr0gUqlQmFhodzV9xpiPoA4Bs0nTtss35zo8r+r+jTVkshTgoODERUVVesrICAAMTEx0Ol02L9/v3Ttvn37oNPpzLr6LUlPT8fw4cNxxx131Hnujz/+iICAAJvvbXLzmkCgoqICI0eOxLPPPmvzNefPnzd5ffTRR1CpVHjsscfMzv3HP/6Btm3bylllr1QzCc2WJ834pj+7qjpeoVijRpV/9ZO6J57MOeRCXssgOP9yka5duyIhIQEpKSkoKChAQUEBUlJSMGzYMGnGwNmzZxEVFWUSLADA8ePH8c0332DChAlm5W7fvh2rV6/G4cOHceLECXz44Yd47bXXMHHixFqHNFzJa4YGxDGdtWvX2nxNzakZW7duxZAhQ9C5c2eT41lZWcjNzcVnn32GrCzf7mJ1ZJraw5um+VT3f01SQqQbNgYy3oxI5I5FjIhcQjBUv5y53oW0Wi0mT56MuLg4AMDw4cORlpYmvV9ZWYmioiKUlZnmSH300Ue48847peuMNWrUCMuWLcPUqVNhMBjQuXNnzJ07F3//+99d2pbaeE0g4KwLFy5gx44dWLdundnxlJQUbNmyBYGBgTaVVV5ebjI9Ra/Xy1pXb8Mn0tvcPZRS/ESQTTkcRIqk8N0HW7VqhfXr11t9v2PHjhAs1GHhwoVYuHChxWsSEhJMFhJSAq8ZGnDWunXr0Lx5czz66KPSMUEQ8PTTT+OZZ57B3XffbXNZixYtkpacVKvVZlNXvJnxjayuJ820zETOZ4dnxu6l1RkTs93+2URUv3i0R8DWaRz23KSt+eijj6DRaBAQECAd++CDD6DX6zF9+nS7ypo+fTqmTp0qfa/X6+tVMFCsUZs85RvvfAfc6gEQBESq2BMA3M7md1dvgJSHUOMzOXOAvI5BgDgF0PHryVkeDQRsncbhrD179qCoqAgZGRkmx7/++msUFBSYJWjcfffd0Gg0ZsMIIn9/f48ldbhbzSAAMN0al6rljI4GnnLzZ96aPsjZBOS1FD404Cs8GggEBwcjODjY5Z+Tnp6Ofv36oXfv3ibH33//fcyfP1/6/ty5c4iPj0dGRobJspK+xDjxzVIQIJ7jjsQ4byEGRrgVGLl6ZUFrxJ8XewaIyB5ekyxYUlKC3377DSUlJaiqqpLm+kdEREibOURFRWHRokUYMWKEdJ1er8emTZvwzjvvmJXZvn17k+/FcsLDw9GuXTtXNUVRjJcABiDd4MWnfXHJXPHmsnXq0OobHXsDAFTnURTf6p6P1+bjXztcOzxgaZVG8WeYo41lEEDeRYCTPQKy1cSneU0gMHPmTJOu+rvuugsAsGvXLgwePBgAUFRUBJ3OdNx648aNEAQBY8eOdVtdvYHxOLMlxnkC4n4DABCAMkRq3VFD75CWabqqX8QG13fVW5qlkaOJxQPr97n0c4lkx6EBRfCaWQNr166FIAhmLzEIAG7PAjA2ceJElJWV2bTXszgVRFz7uT7L0cTWmtzGJ0vvszLLfM4yEVFdvKZHgOSRmpSF7CfvrXMPASYC2kYp+RJSD44C6kJkM4MBgBOLAnlw6976xGt6BEgeaZmJUFUJ3ENARsZBkzsy+K2t78AVBsnriEMDzrzIaQwEfIi4oVBdGCTYz509KMu2m/584rX5HMohIocxEPAh2U/cW+c5OZpYLhnsoHFBRxCp1bl886Hwjfz5UD3BHgFFYCDgQ46Pu71ft7UbVbFGjQYXfnNXleqFYo0axRo1Nui7S0MDORrXTeUzHn7gcAB5NQXvPuhLmCzoY8pbB8L/4u2dsoyHAUJ6XkCkVgdDSCtPVM0r1cwJSE3Kkpb+LXZyiCU1KctseqKESYFUDwiCAYITOwg6cy3dxh4BH1PyYCPp65q5ACPDfnB3deqt1KQsKSfD0Z4Ba70KaZmJzOMgItmwR8BHvJCUiUxN9bTBFg+XIWPMUEBjek5aZiIiwfFnW4lTMANUlXikWREyrvUwO0dahVFjfr0t5RuTVnu8tb+A1d4CIm8hONm9zxwBWbBHwAdEanWogkq6sczf/ph03NKfZBtxUaat4wZZDAKAW0MFdv6yEnsTxCf/2p7+2TNAXo3JgorAHoF6Km7wj/hzYGn1NzXGk1OTsqQlgxkEOEfci6G2xZniN+y1O19A3FlQ+l5rfXoiewaIyBnsEaincnffZfU9rhooH1sXELI10EqOy3Po58OfKXklg8H5FzmNPQL1TGpSFsoNjeDfoNLqOfHafN44ZGLrk7jxLoW1KXiq/u9zQSQRBDi1hSCHBmTBHoF6JkcTi93J91h9v09ACYMAGeVoYuvcwMkWDSrtG54xDkBSk7K4ngAROYyBQD1l7WZfeKO9m2viGwxN6u6itNZ7kJqUhfBPHM/RkCMQIfIEwWBw+kXOYyBQT1l6QtwxaTBvGC7S5cNrdf6oi5t5AAANWklEQVTdWno/UqtzKidA7EVgsiB5Jc4aUATmCNQz0na0ML/xpK7M4rCAC0VqdcjecC8S1n9r9X25dicUy+GQABE5iz0C9ZDQsAFyxkZ7uho+SSUI+H8fWO4ZkOumLQYB7AUgr8e9BhSBgUA9Ii5nG7c2H2hg+qNNTWJvgLuEFNTd3S/uUmgv42CCP0/yeoIACAYnXgwE5MChAS8nhN7AtvuWYefvXaWFg1Ycug/hqDS50dS2IA25Rs0b9bANe9Domgodt121q5x4bT4OXWuHvD098aDQ4PYiRhwWIC8nGAQIKsdv5gIDAVmwR8CLpSZlIeKDm9VBgJGI0EseqhHVZrvmfqz723sOXZu3pycAoIHKAEGl4rAAEcmGPQJeStqido35DeHY9x24eZDCxGvzkZaZiFkjnjLr3tdHNseF/tUxufHWw1KypyYWESq9lIRoLRmRyOsIBgBOTAHkNsSyYCDgxWqbl86hAOUQluikm/rj//4a1wwB0ns1g4IcrelOhalJWWZ7RRDVFxwaUAYGAl4oUquTbvTWtqolzxu2YQ+W7hgGHLg9ZXDRFyOsBnDiz1LcwIjd/0TkDgwEZCBGpYYbN9zyeUWP+SP8Ez0A4Mb1mwCAVQfvQ/j7FRiy+j/YlWJ9iWFyrb98uA8AsCr3QRR9NhSA+b8J8WdGpETiv093PG3fFMqd6t6/Cet7qpDtVAL7Vpx28uRJhIeHe7oaRESyOXHiBDp37uySsm/cuIFOnTqhtLTU6bJCQ0Nx6tQpBAQE1H0yWcRAQAZXr15Fy5YtUVJSArVanpXjvIFer0dYWBjOnDmDoKAgT1fHLXyxzYBvttsX2wwAOp0O7du3x5UrV9CiRQuXfc6NGzdQUVHhdDmNGzdmEOAkDg3IoMGtxXvUarVP/cIQBQUF+Vy7fbHNgG+22xfbDNz+veYqAQEBvIErBNcRICIi8mEMBIiIiHyY3+zZs2d7uhL1gZ+fHwYPHoyGDX1rtMUX2+2LbQZ8s92+2GbAd9vtq5gsSERE5MM4NEBEROTDGAgQERH5MAYCREREPoyBABERkQ9jIGDFsmXL0KlTJwQEBKBfv37Ys2eP1XMHDx4MlUpl9nrooYekcwRBwOzZs9G2bVs0adIEgwcPxpEjR9zRFJvJ2ebKykq88sor6NmzJ5o2bYq2bdviySefxLlz59zVHJvJ/bM2NmnSJKhUKrz77ruuqr5DXNHmo0ePYvjw4VCr1WjevDmio6NRUlLi6qbYRe52X79+HampqWjXrh2aNGmCrl27Yvny5e5oil3saTcAvPvuu+jSpQuaNGmCsLAwvPjii7hRYy8Ve8skBRPIzMaNG4VGjRoJq1evFn7++WfhhRdeEJo2bSr897//tXj+//73P+H8+fPS6/Dhw4Kfn5+wZs0a6ZzFixcLzZs3Fz777DPh0KFDwujRo4U2bdoIer3eTa2qndxtvnr1qjB06FAhIyND+OWXX4S9e/cKAwYMEPr16+fGVtXNFT9r0ebNm4XevXsLbdu2FZYuXeriltjOFW0+fvy40KpVK+Hll18WfvjhB+HEiRPCF198IVy4cMFNraqbK9o9YcIEITw8XNi1a5dw6tQpYeXKlYKfn5+wZcsWN7Wqbva2e/369YK/v7+g1WqFU6dOCTk5OUKbNm2EKVOmOFwmKRsDAQv69+8vPPPMMybHoqKihFdffdWm65cuXSo0b95cuH79uiAIgmAwGITQ0FBh8eLF0jk3btwQ1Gq1sGLFCvkq7gS522zJ/v37BQCK+mXhqnb/+uuvwp133ikcPnxY6NChg6ICAVe0efTo0cITTzwhaz3l5op2d+/eXZg7d67JeX379hVef/115yssE3vb/fe//1144IEHTI5NnTpVGDhwoMNlkrJxaKCGiooKHDhwAHFxcSbH4+LikJ+fb1MZ6enpGDNmDJo2bQoAOHXqFEpLS03K9Pf3x6BBg2wu05Vc0WZLdDodVCqVSzcysYer2m0wGJCcnIyXX34Z3bt3l7XOznJFmw0GA3bs2IE///nPiI+PR+vWrTFgwABs2bJF9vo7ylU/64EDB2Lbtm04e/YsBEHArl27cOzYMcTHx8taf0c50u6BAwfiwIED2L9/P4Dq3VUzMzOlIRE5/i5JWRgI1HD58mVUVVUhJCTE5HhISIhNW2bu378fhw8fxoQJE6Rj4nWOlulqrmhzTTdu3MCrr76KcePGKWYDF1e1+4033kDDhg0xefJkWesrB1e0+eLFi7h+/ToWL16MhIQE5ObmYsSIEXj00UeRl5cnexsc4aqf9fvvv49u3bqhXbt2aNy4MRISErBs2TIMHDhQ1vo7ypF2jxkzBvPmzcPAgQPRqFEjhIeHY8iQIXj11VcdLpOUjetHWqFSqUy+FwTB7Jgl6enp6NGjB/r37y9bme7iijYD1YmDY8aMgcFgwLJly2Spq5zkbPeBAwfw3nvv4YcfflDUz7YmOdtsMBgAAI888ghefPFFAECfPn2Qn5+PFStWYNCgQTLW3Dly/xt///33UVBQgG3btqFDhw745ptv8Nxzz6FNmzYYOnSorHV3hj3t3r17NxYsWIBly5ZhwIABOH78OF544QW0adMGM2bMcKhMUjb2CNQQHBwMPz8/s8j24sWLZhFwTWVlZdi4caPZU0NoaCgAOFSmO7iizaLKykqMGjUKp06dws6dOxXTGwC4pt179uzBxYsX0b59ezRs2BANGzbEf//7X0ybNg0dO3aUuwl2c0Wbg4OD0bBhQ3Tr1s3keNeuXRUza8AV7f7jjz/wz3/+E0uWLMHDDz+MXr16ITU1FaNHj8bbb78texsc4Ui7Z8yYgeTkZEyYMAE9e/bEiBEjsHDhQixatAgGg8Gpv0tSJgYCNTRu3Bj9+vXDzp07TY7v3LkTsbGxtV77ySefoLy8HE888YTJ8U6dOiE0NNSkzIqKCuTl5dVZpju4os3A7SCguLgYX375Jf70pz/JWm9nuaLdycnJOHjwIAoLC6VX27Zt8fLLLyMnJ0f2NtjLFW1u3Lgx7rnnHhQVFZkcP3bsGDp06CBPxZ3kinZXVlaisrISDRqY/hr18/OTekk8zZF2l5WVWWyTUJ1c7tTfJSmUh5IUFU2cGpOeni78/PPPwpQpU4SmTZsKp0+fFgRBEJKTky1mxw4cOFAYPXq0xTIXL14sqNVq4fPPPxcOHTokjB07VpHTB+Vqc2VlpTB8+HChXbt2QmFhock0rPLycpe3x1au+FnXpLRZA65o8+effy40atRIWLVqlVBcXCx88MEHgp+fn7Bnzx6XtsUermj3oEGDhO7duwu7du0STp48KaxZs0YICAgQli1b5tK22MPeds+aNUto3ry58O9//1s4efKkkJubK4SHhwujRo2yuUzyLgwErPjXv/4ldOjQQWjcuLHQt29fIS8vT3pv0KBBwlNPPWVyflFRkQBAyM3NtViewWAQZs2aJYSGhgr+/v7C/fffLxw6dMiVTbCbnG0+deqUAMDia9euXS5uiX3k/lnXpLRAQBBc0+b09HQhIiJCCAgIEHr37q2oufQiudt9/vx54emnnxbatm0rBAQECF26dBHeeecdwWAwuLIZdrOn3ZWVlcLs2bOF8PBwISAgQAgLCxOee+454cqVKzaXSd6F2xATERH5MOYIEBER+TAGAkRERD6MgQAREZEPYyBARETkwxgIEBER+TAGAkRERD6MgQAREZEPYyBARETkwxgIECnIO++8g5CQEHTo0AGbNm2CTqfD0qVLcddddyEwMBBvvPGGp6tIRPUMAwEihfj2229x5MgRnD59Gk888QQ0Gg0mTJiA3r17o6CgAP369YNWq/V0NYmonmEgQKQQ3333HaZOnYomTZrgpZdeQmVlJcaMGYMHHngA/v7+6NixI+Li4qTzFy5cCJVKZfZasmSJB1tBRN6GgQCRQtxzzz3S1q4tW7YEAFy7dg0AUFJSgsuXL2POnDnS+c8//zzOnz8vvZ599ll06NABo0aNcn/lichrMRAgUoh7770XADBv3jzpWEVFBdasWYPo6GiUlZWhYcOG0nvNmzdHaGgoQkNDsXLlSmRmZiIvLw/t2rVze92JyHtx90EihVKpVIiNjcWLL76Io0ePYubMmcjKykJCQoLJeXPmzMGaNWuQl5eHDh06eKi2ROSt2CNApGApKSl4/PHHMWXKFKhUKhw7dszkfQYBROQsBgJECvHLL7/gP//5DwCgrKwMAKBWqwFUDwM0b94cJSUl0vkMAohIDg3rPoWI3KFt27ZYunQpBg4ciO3bt8Pf3x/9+/eX3m/fvj2ys7NRXl6O1q1bIy0tDV988QX8/f1RWloKoDrJ0N/f31NNICIvxECASCGCgoIwYsQIPPzwwzhy5Ag++ugj3HnnndL7Y8aMQVlZGaZMmYKIiAjo9XpER0eblFFQUIABAwa4u+pE5MWYLEhEROTDmCNARETkwxgIEBER+TAGAkRERD6MgQAREZEPYyBARETkwxgIEBER+TAGAkRERD6MgQAREZEPYyBARETkwxgIEBER+TAGAkRERD6MgQAREZEP+//IjACkEBB01wAAAABJRU5ErkJggg==",
      "text/plain": [
       "Figure(PyObject <Figure size 640x480 with 2 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.colorbar.Colorbar object at 0x145d616d8>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rez = range(0.7,stop=0.8,length=600)\n",
    "imz = range(-1.75,stop=-1.63,length=600)\n",
    "k = 3\n",
    "imshow(rootangles(k, rez, imz), extent=(minimum(rez),maximum(rez),minimum(imz),maximum(imz))) # imshow is faster than pcolor\n",
    "xlabel(L\"\\Re z\")\n",
    "ylabel(L\"\\Im z\")\n",
    "title(\"Basins of attraction for $k-th roots of unity\")\n",
    "colorbar(label=\"phase angle of root / π\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 0.7.0",
   "language": "julia",
   "name": "julia-0.7"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "0.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}