08_entscheidungsbaeume.ipynb

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    "# Künstliche Intelligenz\n",
    "\n",
    "In diesem Teil beschäftigen wir uns mit künstlicher Intelligenz. Genauer gesagt\n",
    "beschäftigen wir uns mit *maschinellem Lernen*. Beim maschinellem Lernen geht\n",
    "es darum das der Computer eigenständig aus den Daten die er gegeben hat lernen\n",
    "kann. Eine sehr häufige Anwendung davon ist **Klassifizierung**.\n",
    "\n",
    "Ein Beispiel für Klassifizierung ist wenn der Computer aufgrund der ihm zur\n",
    "Verfügung stehenden Daten entscheiden muss um welche Art von Frucht er sich\n",
    "handelt.\n",
    "\n",
    "\n",
    "**Aufgabe:**\n",
    "> In der nächsten Zelle ist ein Datensatz beschrieben, versuchen Sie sich zu\n",
    "> überlegen wie Sie die Daten so aufteilen können, dass sie eindeutig\n",
    "> klassifiziert werden können. Teilen Sie Ihre Erkenntnis mit Ihrem\n",
    "> Sitznachbarn.\n"
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       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Gewicht</th>\n",
       "      <th>Frucht</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>117</td>\n",
       "      <td>Banane</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>130</td>\n",
       "      <td>Banane</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>234</td>\n",
       "      <td>Apfel</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>221</td>\n",
       "      <td>Apfel</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>239</td>\n",
       "      <td>Apfel</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>122</td>\n",
       "      <td>Banane</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>200</td>\n",
       "      <td>Apfel</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>92</td>\n",
       "      <td>Banane</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>187</td>\n",
       "      <td>Apfel</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>276</td>\n",
       "      <td>Apfel</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>88</td>\n",
       "      <td>Banane</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>110</td>\n",
       "      <td>Banane</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>240</td>\n",
       "      <td>Apfel</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>212</td>\n",
       "      <td>Apfel</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>232</td>\n",
       "      <td>Apfel</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>115</td>\n",
       "      <td>Banane</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
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      "text/plain": [
       "    Gewicht  Frucht\n",
       "0       117  Banane\n",
       "1       130  Banane\n",
       "2       234   Apfel\n",
       "3       221   Apfel\n",
       "4       239   Apfel\n",
       "5       122  Banane\n",
       "6       200   Apfel\n",
       "7        92  Banane\n",
       "8       187   Apfel\n",
       "9       276   Apfel\n",
       "10       88  Banane\n",
       "11      110  Banane\n",
       "12      240   Apfel\n",
       "13      212   Apfel\n",
       "14      232   Apfel\n",
       "15      115  Banane"
      ]
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   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "import seaborn as sns\n",
    "%matplotlib notebook\n",
    "\n",
    "df = pd.DataFrame([\n",
    "  [117, 'Banane'],\n",
    "  [130, 'Banane'],\n",
    "  [234, 'Apfel'],\n",
    "  [221, 'Apfel'],\n",
    "  [239, 'Apfel'],\n",
    "  [122, 'Banane'],\n",
    "  [200, 'Apfel'],\n",
    "  [92, 'Banane'],\n",
    "  [187, 'Apfel'],\n",
    "  [276, 'Apfel'],\n",
    "  [88, 'Banane'],\n",
    "  [110, 'Banane'],\n",
    "  [240, 'Apfel'],\n",
    "  [212, 'Apfel'],\n",
    "  [232, 'Apfel'],\n",
    "  [115, 'Banane'],    \n",
    "], columns=['Gewicht', 'Frucht'])\n",
    "df.head(16)"
   ]
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   "id": "utility-department",
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   "source": [
    "Sie sehen in diesem Beispiel dass Sie aufgrund vom Gewicht ganz eindeutig\n",
    "korrekt klassifizieren können. \n",
    "\n",
    "## Datensatz\n",
    "\n",
    "In der *KI* spricht man von einem Datensatz wenn die Daten in einer Form so ähnlich wie oben vorliegen. Man kann einen Datensatz normalerweise als Tabelle darstellen. Eine Zeile in dem Datensatz, entspricht immer einem Eintrag. Wenn Sie sich die Zeile **0** anschauen, sehen Sie das es sich um den Datenpunkt (Eintrag) mit dem **Gewicht** 117 und der **Frucht** Banane handelt.\n",
    "\n",
    "In diesem Beispiel ist das **Gewicht** ein *Feature* und **Frucht** ist das *Label*. In der *KI* geht es sehr oft darum das *Label* aufgrund der *Features* automatisiert zu erraten. In diesem Beispiel wäre die *KI* ganz einfach: Ist das Gewicht kleiner als 160 handelt es sich um eine Banana.\n",
    "\n",
    "Damit man das noch ein wenig schneller sehen\n",
    "kann, finden Sie in der nächsten Zelle eine Grafik welche jeden Datenpunkt\n",
    "darstellt. Weil wir nur das Gewicht der Früchte betrachten, gibt es nur eine\n",
    "lineare Verteilung der Punkte."
   ]
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       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img src=\"\" width=\"843.5714429373646\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x7fe2d4551b80>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sns.relplot(x='Gewicht', y=np.linspace(0, 0, len(df)), data=df, hue='Frucht')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "systematic-clause",
   "metadata": {},
   "source": [
    "Sie sehen an der Grafik bereits das die Punkte unterschiedlich eingefärbt sind.\n",
    "Das können wir hier machen, da wir hier mit dem sogenannten *Trainingsset*\n",
    "arbeiten. Beim *Trainingsset* handelt es sich um Daten zu denen wir die Antwort\n",
    "bereits kennen. Diese Daten werden dann verwendet um eine *künstliche\n",
    "Intelligenz* zu trainieren.\n",
    "\n",
    "Für diesen Datensatz ist es sehr einfach eine *KI* zu trainieren. Wir müssen\n",
    "nur fragen ob das Gewicht grösser als $160$ ist, dann wird es sich um einen\n",
    "Apfel handeln. Und genau das machen wir hier. Die *KI* soll eine neue Frucht\n",
    "die wir bis jetzt noch nicht in Datensatz hatten, klassifizieren.\n",
    "\n",
    "**Aufgabe:**\n",
    "> Führen Sie die nächste Zelle aus. Die fügt in den Plot von oben 2 neue\n",
    "> Punkte ein, die noch nicht klassifiziert sind. Können Sie erraten welcher\n",
    "> Punkt welches Label erhalten soll? Diskutieren Sie Ihre Lösung mit Ihrem\n",
    "> Sitznachbarn."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "lined-spending",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img src=\"\" width=\"628.5714392759364\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x7f59b7280280>"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = df.append({'Gewicht': 100, 'Frucht': 'unbekannt'}, ignore_index=True)\n",
    "df = df.append({'Gewicht': 210, 'Frucht': 'unbekannt'}, ignore_index=True)\n",
    "sns.relplot(x='Gewicht', y=np.linspace(0, 0, len(df)), data=df, hue='Frucht')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "precise-procurement",
   "metadata": {},
   "source": [
    "## Super!\n",
    "\n",
    "Das war mal wieder viel zu einfach für Sie! Das Beispiel soll Ihnen aufzeigen\n",
    "wie die *KI* hier vorgehen würde. Es wird schon noch ein wenig schwieriger.\n",
    "\n",
    "Auf dem Markt ist eine neue Art von Apfel aufgetreten. Es handelt sich hier um\n",
    "Baby-Äpfel. Diese sind sehr klein und von daher auch relativ leicht. Es handelt\n",
    "sich allerdings immer noch um Äpfel.\n",
    "\n",
    "**Aufgabe:**\n",
    "> In der nächsten Zelle finden Sie einen neuen Datensatz. Wenn Sie die Zelle\n",
    "> ausführen, wird der Datensatz gleich geplottet. Diskutieren Sie mit Ihrem\n",
    "> Sitznachbarn wie Sie den Datensatz klassifizieren würden.\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "breeding-reviewer",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img src=\"\" width=\"843.5714429373646\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x7fe27ac99820>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.DataFrame([\n",
    "    [117, 'Banane'],\n",
    "    [130, 'Banane'],\n",
    "    [234, 'Apfel'],\n",
    "    [221, 'Apfel'],\n",
    "    [239, 'Apfel'],\n",
    "    [122, 'Banane'],\n",
    "    [200, 'Apfel'],\n",
    "    [92, 'Banane'],\n",
    "    [187, 'Apfel'],\n",
    "    [276, 'Apfel'],\n",
    "    [89, 'Banane'],\n",
    "    [110, 'Banane'],\n",
    "    [240, 'Apfel'],\n",
    "    [212, 'Apfel'],\n",
    "    [232, 'Apfel'],\n",
    "    [115, 'Banane'],\n",
    "    [50, 'Apfel'],\n",
    "    [75, 'Apfel'],\n",
    "    [62, 'Apfel'],\n",
    "    [81, 'Apfel'],\n",
    "], columns=['Gewicht', 'Frucht'])\n",
    "\n",
    "sns.relplot(x='Gewicht', y=np.linspace(0, 0, len(df)), data=df, hue='Frucht')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "solar-reaction",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "Das klassifizieren ist nicht weiter schwer in diesem Fall, Sie müssen einfach 2\n",
    "Fragen statt nur einer Frage stellen.\n",
    "\n",
    "## Entscheidungsbäume\n",
    "\n",
    "Hier kommen nun sogenannte *Entscheidungsbäume* ins Spiel. Ein\n",
    "Entscheidungsbaum besteht aus mehreren Fragen, die nacheinander gestellt\n",
    "werden. Wenn keine Fragen mehr übrig sind, dann ist der Baum bei einer\n",
    "Entscheidung angelangt, und gibt eine Klassifizierung für den aktellen\n",
    "Datenpunkt an.\n",
    "\n",
    "In der nächsten Zelle finden Sie ein Beispiel für so einen Entscheidungsbaum.\n",
    "In der Zelle wird er von Hand aufgebaut und folgt einigen ganz einfachen\n",
    "Regeln.\n",
    "\n",
    "**Regeln:**\n",
    "> - Es gibt immer einen Wurzelknoten.\n",
    "> - Jeder Knoten hat genau 2 Kinder, ein linkes und ein rechtes.\n",
    "> - Jeder Knoten hat genau eine Frage.\n",
    "> - Die Frage ist immer gestellt ob ein Wert kleiner gleich ist.\n",
    "> - Wird die Frage mit JA beantwortet, gehen wir zum linken Kind, sonst zum\n",
    ">   rechten.\n",
    "> - Knoten am Ende des Baumes sind Blätter, und haben ein Label.\n",
    "\n",
    "**Aufgabe:**\n",
    "> In der nächsten Zelle finden Sie Code und Kommentare. Führen Sie die Zelle\n",
    "> aus, um zu sehen was passiert. Diskutieren Sie das mit Ihrem Sitznachbarn.\n",
    ">\n",
    "> Versuchen Sie mit Hilfe von Ihrem Sitznachbarn alle Kommentare im Code zu\n",
    "> verstehen, und versuchen Sie dann den Baum zu verändern."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "right-floating",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Datenpunkt: [117 'Banane']\tVorhersage: Banane\n",
      "Datenpunkt: [130 'Banane']\tVorhersage: Banane\n",
      "Datenpunkt: [234 'Apfel']\tVorhersage: Apfel\n",
      "Datenpunkt: [221 'Apfel']\tVorhersage: Apfel\n",
      "Datenpunkt: [239 'Apfel']\tVorhersage: Apfel\n",
      "Datenpunkt: [122 'Banane']\tVorhersage: Banane\n",
      "Datenpunkt: [200 'Apfel']\tVorhersage: Apfel\n",
      "Datenpunkt: [92 'Banane']\tVorhersage: Banane\n",
      "Datenpunkt: [187 'Apfel']\tVorhersage: Apfel\n",
      "Datenpunkt: [276 'Apfel']\tVorhersage: Apfel\n",
      "Datenpunkt: [89 'Banane']\tVorhersage: Banane\n",
      "Datenpunkt: [110 'Banane']\tVorhersage: Banane\n",
      "Datenpunkt: [240 'Apfel']\tVorhersage: Apfel\n",
      "Datenpunkt: [212 'Apfel']\tVorhersage: Apfel\n",
      "Datenpunkt: [232 'Apfel']\tVorhersage: Apfel\n",
      "Datenpunkt: [115 'Banane']\tVorhersage: Banane\n",
      "Datenpunkt: [50 'Apfel']\tVorhersage: Apfel\n",
      "Datenpunkt: [75 'Apfel']\tVorhersage: Apfel\n",
      "Datenpunkt: [62 'Apfel']\tVorhersage: Apfel\n",
      "Datenpunkt: [81 'Apfel']\tVorhersage: Banane\n"
     ]
    }
   ],
   "source": [
    "from lib.mytree import *\n",
    "\n",
    "# Hier wird ein neuer Baum erzeugt. Diesem Baum wird gerade die Wurzel\n",
    "# übergeben, die bereits eine erste Frage enthält.\n",
    "# Die Frage hier lautet: Ist der Wert kleiner gleich 80?\n",
    "# Die 0 gibt an um welche Spalte es sich handelt, da wir im Moment nur auf das\n",
    "# Gewicht schauen, haben alle den Wert 0.\n",
    "dt = DesicionTree(\n",
    "    Node(Question(0, 80)))\n",
    "\n",
    "# Hier holen wir uns von dem Baum den Wurzelknoten, und hängen als linkes Kind\n",
    "# ein Blatt an. Das machen wir weil alles was mit der Frage: Ist das Gewicht\n",
    "# kleiner als 80 beantwortet werden kann, ein Apfel ist.\n",
    "dt.root.add_left_child(Leaf('Apfel'))\n",
    "\n",
    "# Wir holen wieder den Wurzel Knoten, und fügen das rechte Kind hinzu. Dies ist\n",
    "# ein normaler Knoten, da wir hier noch eine weitere Frage stellen müssen.\n",
    "# Die Frage hier lautet: Ist das Gewicht kleiner als 160?\n",
    "dt.root.add_right_child(\n",
    "    Node(Question(0, 160)))\n",
    "\n",
    "# Wir fügen dem rechten Kind des Wurzelknotens ein linkes Kind an, welches ein\n",
    "# Blatt ist. Hier handelt es sich um Bananen.\n",
    "dt.root.right.add_left_child(Leaf('Banane'))\n",
    "dt.root.right.add_right_child(Leaf('Apfel'))\n",
    "\n",
    "\n",
    "# Der Code hier, geht über den Datensatz und klassifiziert alle Datenpunkte so\n",
    "# wie sie durch den Baum klassifiziert werden.\n",
    "for data in df.to_numpy():\n",
    "    print(f\"Datenpunkt: {data}\\tVorhersage: {dt.predict(data)}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "turned-teaching",
   "metadata": {},
   "source": [
    "## Toll\n",
    "\n",
    "Das ist ja schön und gut, aber das ganze scheint ein wenig aufwendig für so ein\n",
    "einfaches erfundenes Beispiel zu sein...\n",
    "\n",
    "Nun betrachten wir ein Datensatz der nicht mehr ganz so einfach klassifiziert\n",
    "werden kann. In der Realität ist es so dass ein Datenpunkt mehr wie nur 1 *Feature* hat. In dem Beispiel in der nächsten Zelle, ist noch ein weiteres *Feature* hinzu gekommen. Bei dem *Feature* ist nicht ganz klar was es messen soll. Das spielt für die *KI* auch keine Rolle, denn für die *KI* ist nur wichtig dass die Daten durch die *Features* unterteilt werden können.\n",
    "\n",
    "**Aufgabe:**\n",
    "> Führen Sie die nächste Zelle aus, und diskutieren Sie mit Ihrem Sitznachbarn\n",
    "> was Sie beobachten. Wie können Sie den neuen Datensatz klassifizieren?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "developing-foster",
   "metadata": {},
   "outputs": [
    {
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       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
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       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
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       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
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       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
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       "        'style',\n",
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       "    this.root.appendChild(titlebar);\n",
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       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
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       "mpl.figure.prototype._init_canvas = function () {\n",
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       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
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       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
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       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
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       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
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       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
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       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
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       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img src=\"\" width=\"843.5714429373646\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x7fe27ac25f40>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.DataFrame([\n",
    "    [117, 82, 'Banane'],\n",
    "    [130, 81, 'Banane'],\n",
    "    [234, 95, 'Apfel'],\n",
    "    [221, 70, 'Apfel'],\n",
    "    [239, 86, 'Apfel'],\n",
    "    [122, 87, 'Banane'],\n",
    "    [200, 62, 'Apfel'],\n",
    "    [92, 43, 'Banane'],\n",
    "    [187, 115, 'Apfel'],\n",
    "    [276, 99, 'Apfel'],\n",
    "    [89, 82, 'Banane'],\n",
    "    [110, 61, 'Banane'],\n",
    "    [240, 84, 'Apfel'],\n",
    "    [212, 111, 'Apfel'],\n",
    "    [232, 92, 'Apfel'],\n",
    "    [115, 80, 'Banane'],\n",
    "    [90, 120, 'Apfel'],\n",
    "    [112, 130, 'Apfel'],\n",
    "    [105, 122, 'Apfel'],\n",
    "    [99, 128, 'Apfel'],\n",
    "], columns=['Gewicht', 'Irgendwas', 'Frucht'])\n",
    "\n",
    "sns.relplot(x='Gewicht', y='Irgendwas', data=df, hue='Frucht')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "narrow-idaho",
   "metadata": {},
   "source": [
    "Die Grafik zeigt hier ganz deutlich dass das **Gewicht** alleine nicht mehr ausreicht um die Datenpunkte zu trennen. Wir müssen auch das zusätzliche *Feature* (**Irgendwas**) berücksichtigen.\n",
    "\n",
    "**Aufgabe:**\n",
    "> Schreiben Sie Code der Ihnen einen Baum erzeugt der diesen Datensatz\n",
    "> Klassifiziert.\n",
    ">\n",
    "> **Tipp:** Kopieren Sie den Code von oben, und passen Ihn so an dass er für\n",
    "> den neuen Datensatz funktioniert.\n",
    ">\n",
    "> **Tipp:** Wenn Sie bei `Question` eine 1 statt eine 0 verwenden, betrachtet\n",
    "> er die zweite Spalte."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "separated-philosophy",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "smaller-ultimate",
   "metadata": {},
   "source": [
    "## Mehrere Dimensionen\n",
    "\n",
    "Sie sehen dass es möglich ist eine Separierung der Daten zu erreichen, auch wenn die nur auf Grund vom **Gewicht** nicht möglich ist. Hier haben wir ein weiteres *Feature* benötigt, und daher sprechen wir von einem 2-dimensionalen Datensatz. Die Anzahl der Dimensionen wird durch die Anzahl der *Features* in einem Datensatz bestimmt.\n",
    "\n",
    "Bei 2 Dimensionen kann man das ganze noch sehr schön in einer Grafik darstellen, und oft kann man die Zerlegung dann auch direkt sehen. Es ist auch für 3 Dimensionen noch gut vorstellbar wie man den Datensatz zerteilen kann. In der Praxis hat man aber sehr oft mit viel mehr wie 3 Dimensionen zu tun. Da wird es dann eher schwer diese Daten so darzustellen, dass die noch übersichtlich sind. Eine Möglichkeit das zu machen, ist ein sogennanter *Pair-Plot*."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "changed-seeker",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "**Aufgabe:**\n",
    "> In der nächsten Zelle finden Sie Code der Ihnen ein Datensatz mit 4\n",
    "> Dimensionen beschreibt, und einen *Pair-Plot* von den Daten erzeugt.\n",
    ">\n",
    "> Diskutieren Sie mit Ihrem Sitznachbarn ausführlich was Sie hier sehen, und versuchen Sie die Grafik zu verstehen."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "sunrise-sydney",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.PairGrid at 0x7fe274b06a00>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 762.375x720 with 20 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.datasets import make_classification\n",
    "\n",
    "X, y = make_classification(n_features=4, n_informative=4, n_redundant=0, n_repeated=0, class_sep=10, n_clusters_per_class=3)\n",
    "X = pd.DataFrame(X, columns=['f1', 'f2', 'f3', 'f4'])\n",
    "y = pd.DataFrame(y, columns=['label'])\n",
    "tmp = pd.concat([X, y], axis=1)\n",
    "sns.pairplot(tmp, x_vars=['f1', 'f2', 'f3', 'f4'], y_vars=['f1', 'f2', 'f3', 'f4'], hue='label')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bizarre-promotion",
   "metadata": {},
   "source": [
    "## Pair-Plot\n",
    "\n",
    "Der *Pair-Plot* zeigt Ihnen jedes *Feature* gegen jedes andere *Feature* und auch gegen sich selbst geplotet. Wenn die Daten so liegen das der Plot von einem *Feature* mit sich selbst **keine** Überschneidung hat, dann ist der Entscheidungsbaum sehr einfach, und hat nur einen Knoten. Der Fall tritt aber nicht sehr oft auf.\n",
    "\n",
    "## Automatisches Lernen\n",
    "\n",
    "Wenn Wir diese Bäume immer von Hand erstellen müssten, würde die sehr viel Arbeit kosten, und ist auch sehr Fehleranfällig. Man würde vermutlich auch nicht von *künstlicher Intelligenz* sprechen, wenn man die Bäume alle von Hand erstellen müsste. Zum Glück wurde die automatische Erstellung bereits für uns implementiert, und wir können diese einfach verwenden.\n",
    "\n",
    "**Aufgabe:**\n",
    "> In der nächsten Zelle finden Sie Code der einen Entscheidungsbaum von dem oben erzeugten Datensatz lernt. Nach dem lernen wird der Baum ausgegeben.\n",
    ">\n",
    "> Diskutieren Sie mit Ihrem Sitznachbarn was genau Sie sehen.\n",
    ">\n",
    "> Schauen Sie auf die erste Zeile in jedem Knoten, und verbinden Sie Ihre Beobachtung mit dem *Pair-Plot*."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "light-penny",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.tree import DecisionTreeClassifier\n",
    "from sklearn import tree as t\n",
    "%matplotlib inline\n",
    "\n",
    "tree = DecisionTreeClassifier()\n",
    "tree.fit(X, y)\n",
    "p = t.plot_tree(tree, feature_names=['f1', 'f2', 'f3', 'f4'])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "shaped-insulin",
   "metadata": {},
   "source": [
    "Einen zufällig erstellten Datensatz zu betrachten macht nicht so viel Spass. Zum Glück können wir den Baum auch auf dem von uns erzeugen Datensatz mit den Äpfeln und Bananen trainieren.\n",
    "\n",
    "**Aufgabe:**\n",
    "> In der nächsten Zelle finden Sie Code der Ihnen den Datensatz erzeugt, diesen im *Pair-Plot* ausgibt. In der Zelle übernächsten Zelle finden Sie den Code welcher dann den Baum trainiert und ausgibt.\n",
    ">\n",
    "> Führen Sie beide Zellen aus, und diskutieren Sie mit Ihrem Sitznachbarn was Sie sehen.\n",
    ">\n",
    "> Nehmen Sie sich einen Datenpunkt aus dem Datensatz, und machen Sie den Weg durch den Entscheidungsbaum.\n",
    ">\n",
    "> Ändern Sie den Datensatz so ab, dass er für Sie interessant wird."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "defensive-minimum",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img src=\"\" width=\"433.5714359551061\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.PairGrid at 0x7fe26be2d9d0>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "import seaborn as sns\n",
    "%matplotlib notebook\n",
    "\n",
    "df = pd.DataFrame([\n",
    "    [117, 82, 'Banane'],\n",
    "    [130, 81, 'Banane'],\n",
    "    [234, 95, 'Apfel'],\n",
    "    [221, 70, 'Apfel'],\n",
    "    [239, 86, 'Apfel'],\n",
    "    [122, 87, 'Banane'],\n",
    "    [200, 62, 'Apfel'],\n",
    "    [92, 43, 'Banane'],\n",
    "    [187, 115, 'Apfel'],\n",
    "    [276, 99, 'Apfel'],\n",
    "    [89, 82, 'Banane'],\n",
    "    [110, 61, 'Banane'],\n",
    "    [240, 84, 'Apfel'],\n",
    "    [212, 111, 'Apfel'],\n",
    "    [232, 92, 'Apfel'],\n",
    "    [115, 80, 'Banane'],\n",
    "    [90, 120, 'Apfel'],\n",
    "    [112, 130, 'Apfel'],\n",
    "    [105, 122, 'Apfel'],\n",
    "    [99, 128, 'Apfel'],\n",
    "], columns=['Gewicht', 'Irgendwas', 'Frucht'])\n",
    "\n",
    "sns.pairplot(df, x_vars=['Gewicht', 'Irgendwas'], y_vars=['Gewicht', 'Irgendwas'], hue='Frucht')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "complex-montana",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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f/vQnXF1d2bdvH8uWLStx/hdffMFTTz1VhRRRlNKpcbpKCbV1nO7LL79MamoqX375Jc7OzuU659133yU4OJjOnTv/YbiUlBRmzJjBK6+8YpoeXB5qnK5yN1XoKiXU1kLXFqlCV7mbal5QFEWpQarQVRRFqUGq0FUURalBasiYUoKjo+MFTdNaWzsedYGjo+MFa8dBsS2qI00x0TStEWAUkdt3Ct0PgJ5AmIjstW7sbJ+maZ2BaKARMFFE0rTCmSBNRCTburFTbIVqXlAAuFM4fAEM0zQtFPgO+P+AnqrALR8ROQ34AzFAkqZpc4A/A8c1TbvfqpFTbIaq6SoAaJr2JPAWcAZoTWFN7Vvrxqr20jStHbAc6AD8AnwtInOsGyvFFqhCV+FOLez/KPxZ/CVwAFgqIjesGrFaTtO0cOAJ4GngfuAxETlp3Vgp1qaaFxSAJyksFE4AecADgBrQX3WNgQbAUeAG8JJVY6PYBFXTVRRFqUGqpqsoilKD6tQ43UaNGp2/efOmGl9aSY6Ojhdyc3MfsnY86hKVJy2rLuTROtW8oF7UUjXq5SyWp/KkZdWFPKqaFxRFUWqQKnQVRVFqUJ0udHfv3o2/vz8Gg4GAgAD27dtX4WusXr2aw4cPl3rMYDCQn59fInxBQUGl4luWvLw8PD09ady4MadPnzbt37Fjh+n5iuLo7OxsWrjx7nXGrl27RnBwMN7e3iVW6FWqX3JyMrNnz6626xsMhmq7dmWcP38eg8GAXq9nwoQJAGRlZTFkyBAMBgPvvfdeiXPGjx+Pu7s7BoOBtWvX1nCMa4iI1Jmt8HEKXbx4UfR6vWRlZYmISHZ2tnz77bdiSXq9XvLy8u65rzQ5OTnlvk9BQYGcP39exo0bJ6dOnRIRkRs3bsjw4cMlPz/fLKy3t3eZ11m8eLGsWbNG8vPzxcfHR27dumV2/E76Wf3fsS5txfNkUlKSREREmKW50Wi8+5+p0vR6vcWuVZaK5NvFixfLJ598IiIiYWFhcvToUVm0aJGsXbtWRESeeuopuXjxotk5xfN4aepCHq2zNd1t27YxduxYmjZtCkCTJk3o1asXANHR0fj4+ODj48O3337Ll19+yQcffMCNGzdo2LAhV65cYdWqVWzYsIG5c+eyc+dOCgoKCAsLQ6/Xmy1Y+Oqrr9KnTx9iYmI4cOAAR48eJSAggM8++6zUeKWlpTFt2jSGDBlS7mfRNI3Wrc07wL/++mvs7OwYOHAgzz33HNevXwcKV9X18fFh1qxZRR96k9TUVPr164e9vT09e/bkf//7X7njoFhWz549GTt2LIsWLWLLli307t2b8PBwdDodAKdPnyYoKAi9Xs+CBQuAwlrgCy+8gE6nY968eQAcPHiQxx9/nFGjRvHbb78BmPJnREQEM2bMAGDAgAEAjBo1Cr1eT1BQENnZ2Vy5cgWDwYCfnx/Tp08vNa4iQkJCAiNHjiQyMrLcz9i1a1eysrKAwl9ZDzzwAGfOnOGxxx4DoHv37hw8eNDsHE3TCA0NJTg4mJ9++qnc96pVrF3qW3KjWK3in//8p2zdulVERGJjY8Xb21tmzpwpFy9elODgYCkoKJDLly/Lk08+KZcvX5Znn31WkpKSJCgoSLZu3SphYWHy888/y5w5c2THjh3y+eefy2uvvSYiv9dO9Hq9fPvtt3Lz5k3x8fEx7SutpvvZZ5/JwIEDJTw8XA4ePGja/80334herzfb/vrXv5Y4X8S8FrB27VrR6XSSn58vS5culcWLF4uIyOXLl6WgoEDCw8Nl8+bNZuf369dPcnNzRUQkIiJCdu/ebXacOlCLsLWNMmq6zZs3N9Uavby8JCcnR86ePSudO3cWEZFRo0bJ//3f/4mIyDPPPCM///yzjBs3Tj7//HMREenbt6+IiAwZMkR++uknuXbtmjRv3lxERKZPny7/+9//ZMyYMTJu3Dg5e/ashIWFiYjI9evXRUTko48+kpUrV8rOnTtlzpw5IlL4i6q47OxsefPNN8XPz0/mzJljio+IyIoVK0rk208//dTs/AsXLsijjz4qrq6u8txzz4mIyLvvviv/+te/JD8/X3x9fU213iKXL18WEZG9e/fK8OHD5W51IY/WqXG6xbVp04bMzEwAnn32Wby8vJg7dy5nzpzh2LFj+Pn5mcI2b96cy5cvs3//fv72t7+RmJjIzz//TLt27UxhfvzxR7y8vACws/v9B8Kjjz5KgwYNzPaVZvny5XTq1IkpU6bg5uZm2t+3b1+Sk5Mr/HzOzs7odDrs7e3x9/fn7bffNj0LwNChQzly5IjZirvOzs5kZ2fj6OhIdnZ2iVV6lZrTrVs3nJycALC3t8fJyQknJycefPBBAH744Qeee+45AK5evcq5c+eAwvwG0KhRI9Ox9u3bA5iWuvf29mb37t3cd999ODo6smPHDry8vDAajbzyyiscP36c7Oxshg0bxvjx49m9ezdjxoxhwIABpnsCZGZm8umnnzJy5EjCwsJ4+OGHTcfCw8MJDw//w2dcvHgxkZGRjBw5khdffJE9e/YwadIkJk+ezKZNm2jbtm2JX3BF+Ven0zFr1qxKpKztq7PNC4MGDeKzzz4z/bwp6vBycXGhT58+pmW8d+zYAcAjjzxCYmIi/v7+HD9+nBYtWphdr1u3bqSmpgKYdZQVvhHxdw0aNMBoNJaIT0pKCq+88grR0dEEBgaycuVKAA4cOGDq+CraZs6cec/n69OnDydPFr475ejRo7i4uHD9+nXTvfft20enTp3MzvH09GTXrl0YjUaOHj2Kq6vrPe+jVI/iX9IFBQXcuHGDzMxMLl26BBTmt3Xr1pGcnMzhw4fp06cPUDK/OTs7c/bsWa5fv86pU6cA8PLyYunSpfTq1Yu+ffvy3nvv4eXlxdGjR7l+/Tp79uzhL3/5CyKC0Whk/vz5xMbGsnjxYrNrd+vWjePHj+Ph4cGMGTMYPnw4u3btAmDlypUl8u3dTWoiYipEW7RoQVZWFk5OTqxZs4b4+HgKCgrw9PQ0Oyc7u/C1wz/88EPdrRRYu6ptyY1iP+VERHbt2iV6vV78/PykX79+smvXLhER+fjjj8XHx0cMBoPMnz/ftC8kJERERJ599llZsmSJiIipecFoNMqECRPEx8dHBg4cKCLmTQlFnRjvvvuuDBgwQOLi4qQsOTk58tFHH5V5vDQjR46UNm3aiJeXl2zatElERN555x3x8fGR/v37y+XLl+XIkSPSq1cv8fHxkdDQUFMn27Rp00REJCsrSwYPHiyenp6yatWqEvegDvx0s7WNMpoXind4bt68WXr37i0TJ0407T916pQMGDBA/Pz8JCgoSK5du2bWvFSU31JTU6VXr17y9NNPS69evUzXbN++vXz77bfy448/SosWLURE5Nq1a+Lt7S39+/eXsLAwmTNnjuzevVu8vb2lb9++MnPmTPkj586dkw0bNvxhmOLS09PF19dXfH19ZdiwYXLr1i05dOiQGAwG8fPzk/j4eBER+eWXX2TBggUiUthc4u3tLTqdTo4fP17imnUhj6oZaYpJXZjtY2vKkyfz8/NxcHDg3LlzhIeH8+WXX9ZQ7GqfupBH62ybrqLUFnFxcSxbtozr16+zZMkSa0dHqWaqpquY1IVahK1RedKy6kIerbMdaZZw/vx5oqKiyjz+4osvVuq6iYmJeHp64ufnx9mzZ82OJSQkoNPp8PDwICIiAiic5VbUWdGsWTOOHj1KRkYGrVu3xmAwEBQUVKl4KLWbNfLnkSNH6NGjBx07djTtS05OpkOHDhgMBkJDQ4HC8eheXl74+Pjw/PPPo754irF2o7IlN+7qSLNVBoNBsrOzJTU1VaZOnWp27Pbt22bhfv31V9PfeXl50rNnTykoKJD09HQZM2aMReNFHeiksLWttuTJ4v4of2ZnZ0tOTo5ZR2BpM+2K5+Px48fLgQMHLBK3upBHVU33jlu3bhESEsKAAQN45plnWL16NRkZGYwdOxYADw8PJk2ahJubG9u3bwcwzR6qiBs3btCoUSOaNGmCu7s733//vdnxBg0aAGA0GnnooYdMM+oA9uzZg6+vr2nYUFJSEj4+Prz77ruVemal9rCV/NmkSRPT+OLi1q1bh4+PD+vWrQN+z8cADRs25JFHHqlwXOoqVejesWnTJry8vNi+fTvNmjUrcfzKlStERUXx5ZdfsmLFilKvcfv27RJjFwMCAszCXL161awgLW1M78qVK+nWrRstWrSgYcOGpv2ff/45w4YNAwonf/z4448kJSWxc+dOvvvuu0o9t1I72FL+vNsTTzzB//73P7Zv386SJUu4ePEiAFu2bOHRRx/lwoULJca912dq9MId6enppjnhxWeMFWnZsiWtWrUCCjNmae677757zi4rmhVWxN7evkSY8PBwwsLCeOqppzhy5Ai9evVCREhJSeH9998HCmsPRQXykCFDSEtLM8VfqXtsKX/erXHjxkBh7dbX15dTp07RsmVLQkJCCAkJ4cUXX2Tr1q2mCkN9p2q6d7i4uHD8+HGAUmuNxWcCFTYtlVSemoSTkxO5ubnk5ORw4MABunfvbnb81q1bQOGMJScnJ9N0z6IXmxR9CK5du2Y6p7TZZ0rdYiv5szRFhbTRaOTgwYN07NjRlI8BmjZtasrHiqrpmgwdOpSRI0fSv39/GjdubNYmVV7lqUlA4duf+vXrh6OjI5988gkAM2bMYPHixaxatYr169djNBoxGAymqbpffPEFTz31lOkae/fu5fXXX6dhw4b4+Pjg7u5e4fgqtYet5M/MzEyef/550tLSCAwMJDo6mp07d7Jy5Urs7OwYPXo0bdu2ZfPmzbzzzjsAdOnSRY2wKUaN0y2maGbQlClTCA0NLTEvvK6rC2MgbY0lx+nW9/wJdSOPqppuMYMHDyYnJ4fOnTvXywyt2DaVP+sGVdNVTOpCLcLWqDxpWXUhj6qOtBpQmfGS5fX+++/j7u6Op6cnX3/9dbXdR6lbqjNPTp06lZYtWxIdHW3aFxwcjI+PDwEBASVmudU3qnmhlitaOPOXX35h2rRpfPHFF9aOklLPvf766/Tt29ds0dYlS5bg4uLCjh07ePfdd0u8u7c+UTXdO/bv34+7uzt+fn7ExMSQl5dHQEAAvr6+DB8+HKPRSEZGBj4+PowYMQI3NzfWrVtHUFAQOp2O69evk5GRgbe3NyEhIXh4eJCenm52j2+++QaDwYC3tzerVq0CYNy4cej1evz8/Cq1inDR8JyrV6+qAeh1TG3Nk23atCmxz8XFBSgcy1uesb91mrXnIVtyowrz3GfPni1JSUkiUrhWVEFBgdy4cUNECtcTS0hIkPT0dHFzcxOj0SixsbGml55HRUXJxo0bJT09XVxdXSUvL09SU1Nl8uTJIvL7C6uDgoIkKytLCgoKJCAgQG7evCn+/v6mexZ369atEmtQFYUt7v3335f27dtL27Zt5dixY5V+fpG6Ma/d1rb6mCdFRFatWlXiRf35+fkSEBAgp0+frnSa1IU8qpoX7pgyZQoLFiwgOjqa6dOn0717d8LDwzl37hwXLlygS5cudOnShe7du2NnZ0fbtm1N61W1bdvWtBJrjx49cHBwwM3NjdOnT5vd49ixY6Y1yy5dusSlS5cYN24cY8eOpUOHDrzxxhumZVzKM6YyOzubNWvWcOrUKX799VfCw8PZtm2bhVNGsZbamCf/yMyZMwkNDa33E3lUoXtHs2bNWLp0KZmZmUycOJGwsDC6du3K2rVriYiIKKq1mM38KW0WUFpaGkajkWPHjpXIXL169SIuLg4nJyfy8vJMg8lDQ0MJDw/n4MGDpkkOt2/fLjGg3N7e3rRGFRTOWrv//vu57777cHZ2Ni3DrtQNtTFPliUmJsa0vHp9pwrdO1asWMHnn39OTk4Or776Ku7u7kRFRXHo0CGcnZ3p0qVLua7TqlUrhg4dysWLF4mNjTU7Nm/ePIKDgxEpXLAvJiaGkJAQjEYjTZs2pUePHqaw5alVNG7cmKCgIDw9PTEajURGRlb4uRXbVRvzJEBUVBRr165FRMjMzCQyMpKpU6fSt29fDAYDer2eefPmVSgt6hI1TteCMjIymD17NmvWrLFaHKqiLoyBtDUqT1pWXcijavSCoihKDVI1XcWkLtQibI3Kk5ZVF/KoqukqiqLUIFXolsPcuXPZuXNntV1//PjxuLu7k5WVxX//+188PDzw9PS856ydN998k8DAQAwGAwUFBaSkpODq6mo2/VKpm2oyT5a2GGVp+0oTHx+Pq6ur2bTjuLg4OnbsWK3xt2Wq0LURsbGxODs707NnT/bt28f+/fvZsmULWVlZpYY/cOAAOTk57Ny5k+TkZOzs7NDpdMyaNauGY67UVUV5snPnzqSmptKuXTvTsdL2lcbDw4Njx46Z7RsxYgTjx4+vjijXCvW60A0PD+fkyZMAfPDBB2zYsIHt27djMBh44okn+PTTT83Cr1692lSLnDt3LsnJyYgIU6ZMwd/fn8GDB5sGpFdW+/btsbe3R9M0HBwcTAPT77Z161YuXbqEn58f8+fPr9I9Fdthi3mytMUoy1qg8m7NmjUzW+dPqeeF7ogRI4iLiwNg27ZtDB48GF9fX5KTk0lNTS1zgb/itm7dSvv27UlMTGTatGksX77c7Pj8+fNLLJGyY8eOe143Pj6eTp060aRJk1KPX7hwgWbNmpGUlMSJEyf49ttvy/HEiq2z5TypWEa9nhzh7+/PwoULmTx5Mo0bN8bJyYm9e/cyb9488vLyOHHihFn40mb7nDx5kvXr1/PVV1+Rn59f4uXSkZGRFZ60cObMGRYtWsTWrVvLDOPs7IxerwfAz8+PkydP8vjjj1foPortsdU8qVhOvS50HRwccHFx4a233jKtVLpo0SKio6N5+OGH6dq1q1l4Z2dn0+KAx48fx8/Pj27duhEaGsrMmTMByMvLMztn/vz5JCYmmu0rWoOqNNeuXWP8+PGsXr3a9PMtPz+fy5cv07p1a1M4Ly8vvvvuO/r378/Ro0d57rnnqpASiq2wxTxZXrm5ueTm5tK8efMqXaeuq9fNCwDDhw9n2bJlBAcHAzBs2DCefPJJwsLCeOCBB8zCBgQEsH37dtMLQgBCQkLIyMjA398ff39/4uPjzc6JjIwkOTnZbPujzP3hhx+Snp7OhAkTMBgMpKenm2YVFTdkyBBOnDiBXq+noKAALy+vKqaEYitsLU/+/PPPBAYGmhajzMjIKHXfvn37WLZsmdm5hw4dMgt38+bNKqZOHWDt15xZcqMKr9GzppkzZ4q3t7dcvXq11ONxcXGya9eue15n79690rt3b1m/fn2l4kEdeG2erW11NU+W5p133pFTp07dM9x//vMf6dmzp6SkpFQ4XnUhj6oZaYpJXZjtY2tUnrSsupBH633zgqIoSk1Sha6iKEoNqlOjFxwdHS9omtb63iGV0jg6Ol6wdhzqGpUnLasu5NE61aZrSVrhAMj/AJdE5AVrx6eIpmn3AcnAFhFZaOXoKDVM07Q/AcuBd4Bo4AkROW/dWP1O07RJwEuAu4iopUxKoZoXyjYD6HjnvzZDRG4Do4CXNE3zs3Z8lBrnAeQBq4HRtlTg3hENHAKWa8VnbigmqtAthaZp3sAsYISI2NzAQhE5C4QCsZqmtbV2fJQa1QfoBRwANmiaprtH+Bp1Z6jGVOAxYLKVo2OTVKF7F03TWgHrgQkikmHl6JRJRHYAy4B/a5rWwNrxUWrMU8BDQC4wQERSrByfEkTkBjACmK9p2hPWjo+tUW26xWiaZg8kAF+LyOx7hbc2TdPsgK3ACRF52drxUaqfpmlzgK0ictjacbkXTdOeAhZT2O582drxsRWq0AU0TRsPZAJ6wB3oLyJGq0aqnDRNawEcBv4KtAMOisjX1o2VohTSNO1toDswDQgTkb9bOUpWpwpdQNO0eAob/8dR+K38q5WjVCGapvUBtgH/Bn4TkdetHCVFAeBO01cikErh56t1fZ+iV+8L3Ts9rBfv/BkLtBeRYVaMUoVomvYAsBk4BQQCJ0VkoFUjVYMaNWp0/ubNm2ocbBU4OjpeyM3Nfag6rq1p2iKgMYVt0Q2BHnc6gust1ZFWOCysBXAf0AaYY9XYVJCIXAX+AbhS2MGit2qEatjNmzdbW/sFJrV9q+YvrfcpHOJ2P+AMVO39kXWAKnQLv31TKRzMPUpEvrN2hCpKRL4CfIAnge/V+EjFVojIORF5CehCYadv3j1OqfPqffOCUrupt3hVXV14c1dtomq6Sp2ze/du/P39MRgMBAQEsG/fvgpfY/Xq1Rw+XPqoLIPBQH5+fonwBQUFlYpvWfLy8vD09KRx48acPn0agIKCAsaOHYuvry+BgYFcunQJgLfeegudTseYMWNKrBQxd+5cevbsicFg4J133rFoHJVKsFS7kKOj43lA6tvm6Oh4vjra2VR6lm8rzMK/u3jxouj1esnKyhIRkezsbPn222/FkvR6veTl5d1zX2lycnLKfZ+CggI5f/68jBs3zvRy8MOHD8vzzz8vIiJr1qyR9957Ty5cuCADBw4UEZGFCxfKhg0bzK4zZ84c2bFjR5n3uZOGKm/W0GfdYm8ZK+rQqG+q6w1SKj0rZ9u2bYwdO5amTZsChUuF9+rVC4Do6Gg++eQTAN5//31++eUXzpw5w8SJE2nWrBm//PILmzdvxsnJiRMnTqDT6fD39yc8PJxTp05x//33m5a+efXVV9mzZw8vvPACPXr04OjRowQEBBAWFlbqenVpaWksX76c77//nqSkpPKmhdm6eAAPP/wwRmPhEPKrV6/SokULDh06hMFgACAwMJDY2FhGjhxpdt6rr75Ks2bNePvtt3FzcytfYpZB5c2qqVOvdlSUzMxMevToAcDatWtZunQpHh4ezJo1iy1btrBnzx5+++03JkyYwMcff8zatWvp0aMHBoOBr7/+mv379zNnzhzTqrubN2+mVatWREdHmzUfjB07ln/84x/069ePPXv24Obmxs6dO3FwMP9IrVmzhrVr1/LII48wadIknniicFbsgQMH+Nvf/mYWtnfv3ixevPgPn+/BBx8kNzeXP//5z9jb23PgwAE2bdpk+pJxdnbm6tWrZudMnz6duXPncurUKSZMmMDevXsrnrCKxahCV6lT2rRpQ2ZmJgDPPvssXl5ezJ07lzNnznDs2DH8/H5/MVvz5s25fPky+/fv529/+xuJiYn8/PPPtGvXzhTmxx9/NC36aWf3exfIo48+SoMGDcz2lWb58uV06tSJKVOmmNUw+/btS3JycoWfLyEhgZYtW3Ly5Eni4uJ4++236d27N2fPFg59zc7OLrF4ZdHqvF26dKnw/RTLs6mOtPPnzxMVFVXm8RdffLFS101MTMTT0xM/Pz9T5iySn5/Pc889h06nY+HCuvN62vqaloMGDeKzzz4jKyvLFCcAFxcX+vTpY1r9dseOHQA88sgjJCYm4u/vz/Hjx2nRooXZ9bp160ZqaiqAWU337lF5DRo0MP3sLy4lJYVXXnmF6OhoAgMDWblyJVBY0zUYDGZb0ZLpf0RETIXogw8+SFZWFn369GH37t0A7Ny5Ew8PD7NzsrOzAbh06VKJDkBrqa/5E8BiHT/c1aFhSwwGg2RnZ0tqaqpMnTrV7NjGjRtlwYIFIiIyePBg+eWXXyp0bSrYCVHezVbTszrTUqTi6VlaOu3atUv0er34+flJv379TCspf/zxx+Lj4yMGg0Hmz59v2hcSEiIiIs8++6wsWbJERH7vfDIajTJhwgTx8fExdVYV7zTT6/UiIvLuu+/KgAEDJC4ursxny8nJkY8++qhC6TFy5Ehp06aNeHl5yaZNmyQvL0+GDx8uer1efHx85PTp0yJS2IHm7e0to0ePllu3bomIyLRp00REJDw8XLy8vMTDw0OSk5NL3MMSaW4rasNn3WqFxM2bNyU4OFj69+8vTz/9tKxatUrS09NlzJgxIiLi7u4uYWFh0rNnT4mPjxcREW9v7wrdQ0Tk+vXrpg+LyO8fkiKvvPKKfPPNNyIi8vbbb8vmzZsrdH1bKHTrSlqK1K0CoLao7jSvK/nTUp91q7Xpbtq0CS8vL2bNmsWUKVNKHL9y5QpRUVHk5eUxbdo0BgwYUCLM7du3CQoKMttnb2/Prl27TH9fvXrV1MkAlPgJWPx4aZ0QtYFKS8WWqfxpzmqFbnp6Oo899hhAqUNYWrZsSatWrQDKTJz77rvvnp0Rzs7OpjYtKPyHKut4dnY2nTt3LucT2A6VlootU/nTnNU60lxcXDh+/DgA331X8nUHxTsqCmv2Jd2+fbtEZ0RAQIBZGCcnJ3Jzc8nJyeHAgQN0797d7Linp6fp2zIpKYk+ffpU6bmsQaWlZVmjk6fISy+9xNixYyu1z1ap/GnOajXdoUOHMnLkSPr370/jxo1p0KDiK86U59sPICIign79+uHo6GgaHD9jxgwWL15McHAwGzduRKfTMWjQINq0aVPheFibSkvLeuihh4iIiCjz+AcffFCp677xxhskJCRw4sQJ/vnPf/Kvf/3L7PiFCxdIT083+4lc3n22TOXPu1iiYVgq2aFR1AP8wgsvyP79+yt8vi3ABjrSROpGWorUfEearXTyiIjMmjVLEhISTPeuyL6qqIk0rwv501KfdatOjhg8eDA5OTl07twZT09Pa0al1lNpWTm20slz5coVLl68aDaBobz7agOVP39n1UL3q6++subt6xSVlpVjK50877//Pn/5y18qta82UPnzd2oasFKvFXXyDBo0iO+++65E50p5O3nuVdMt3slz4sSJEp086enpvPbaa+Tm5nLq1Ck2bNhQ7n2jRo2qajIoNckSbRRigba1yqhM21p5ZWRkyODBg8VgMEh0dHSZ4bCRNl1LqM70HDJkiOh0OvH395eff/65zHAVTc+qplNRm25QUJA89dRTsmbNGrM23eJpUtQOW9l02rFjh3h4eIjBYJCffvpJREReeuklyc/PN4Upfu+K7qusmk7zyqjOvPnpp5+Kh4eH9O/f/w9nqVnqs64KiTKMGTNGfv3113uGU4Vu+Zw5c0ZERBISEuSvf/1rmeGsUQDUhU6eqqjPhW5eXp54eHhIfn6+HDp0SGbMmFFmWEt91qt9nO7+/ftxd3fHz8+PmJgY8vLyCAgIwNfXl+HDh2M0GsnIyMDHx4cRI0bg5ubGunXrCAoKQqfTcf36dTIyMvD29iYkJAQPDw/S09PN7vHNN99gMBjw9vZm1apVAIwbNw69Xo+fn1+F3+ifl5fHTz/9xOTJk+nfvz8//vijxdKjqmpjekLhz3gofDHM3e2Z1jZ48GC8vb25ceNGve/kqYramDcvX75Mu3btsLe3p2fPnnz99dcWS48yWaLklj/49ps9e7YkJSWJSOGb8AsKCuTGjRsiIhIRESEJCQmSnp4ubm5uYjQaJTY21vQCkqioKNm4caOkp6eLq6ur5OXlSWpqqkyePFlEfv/2CwoKkqysLCkoKJCAgAC5efOm+Pv7m+5Z3K1bt0Sv15ttRWGLZGZmStOmTeXXX3+VtLQ0efLJJ6v9268up2eR/Px8CQgIML2kxRLpWVY6KeVnqTSvjXkzPz9fevfuLTk5OZKQkCBdu3a1WDqVtVV7R9qUKVNYsGAB0dHRTJ8+ne7duxMeHs65c+e4cOECXbp0oUuXLnTv3h07Ozvatm3Lo48+CkDbtm357bffAOjRowcODg64ubmZ1osqcuzYMUJCQoDC19ddunSJcePGMXbsWDp06MAbb7xheu9peXuau3fvTsuWLWnZsiWXL1+2cKpUXm1MzyIzZ84kNDSUTp06WSg1FFtSG/Omvb09kZGRDBo0iF69etG1a1cLp0pJ1V7oNmvWjKVLl5KZmcnEiRMJCwuja9eurF27loiIiKJvTrNe4tJ6jNPS0jAajRw7dqzEh7ZXr17ExcXh5OREXl4ednZ2jB49mtDQUMLDwzl48CDu7u5A+Xqa77//fho3bsyNGzf47bffbGrmT21MT4CYmBg0TSM0NNRyiWHDdDodKSkp1XLtUaNGceHCBYxGIzExMXTr1q1a7lNRtTVvhoSEEBISQnJyMgcOHLBcgpSh2gvdFStW8Pnnn5OTk8Orr76Ku7s7UVFRHDp0CGdn53IP8m7VqhVDhw7l4sWLxMbGmh2bN28ewcHBiBS+4DkmJoaQkBCMRiNNmzY1Ld8C5a+ZzZ49m/79+5Ofn1/paZ/Vobam59SpU+nbty8GgwG9Xs+8efMq9NzK72JjY2nQoAG7d+9myZIlJaYTW0ttzZsvvvgi33//PR06dGDp0qUVeuZKsUQbxR+181iCJYfHWBq1cPRCXUrPqqTTvn37pG/fvqZhgbdv3xZ/f3/x8fGRp556SvLz8yU9PV10Op0MHz5cevbsKWvXrpV+/fqJt7e35OTkSHp6unh5eUlwcLC4u7ubRmkUtUGmpqaKXq8XLy8v+fjjj0VEJDQ0VHx9fcVgMIjRaKx0/Ldu3SrLly+v9PlFajLN76Uu5c2yNjU5Qqm34uPjefPNNzEYDKaftlu3bqVRo0bMnj2bxMREunTpQk5ODrt372b9+vWsX7+ehIQE/vGPf/DVV1/x+OOPc+XKFXbv3s3hw4d58803Wb58uekekZGRbNmyhSZNmtCvXz+effZZzp49y+7duxERs5/X5f05fPv2bfz9/cnMzOSLL76oxhRSqkOtKHQ7duzImjVrrB2NOkOlZ6Ha2PFTFC4lJYXDhw8TGRnJ5s2bLZgq1lUf8qbVF6acO3cuO3furLbrjx8/Hnd3d7Kyssq9MF1BQQEvv/wygYGBjBw5EoC4uDg6duxYrXGtqppMy//+9794eHjg6en5h8uGl5bmKSkpuLq6Eh0dXW1xLY+ijp9FixYxZ84cvvrqK7p27cru3bsZPny4xTp+vvzyS5KTkzly5AgPPfQQo0ePZs2aNVy8eJGDBw+awpbnnbEiQl5eHgBNmzalUaNGlk2UalST+TMrK4shQ4ZgMBh47733yjzHGvmzVtR0qyo2NhZnZ2c+//xzXF1d+eyzzxgyZAjnz5/noYceKhE+Li6OP//5z7z99tumfSNGjCAtLa0mo22TitKyZ8+e7Nu3Dzs7OwwGA2FhYTg7O5cIv2XLlhJprtPpmDVrltVXpq2NHT+3bt1iwIABaJqGpmk204lmK4ry51tvvcWYMWMYPXo0w4cPZ+zYsTz44IMlwlsjf1ZboRseHs7/+3//jz//+c988MEHtG7dmqZNm7Jw4UJycnKYPn262fCh1atXk5+fT1hYGHPnzjX1ck+dOpUffviBRo0asWbNGpo1a1bpOKWmpjJixAgA/Pz8OHDggOmnX3Fbt27lwQcfxGAwMGbMGCZNmlTpe1qCLaZl+/btTf/v4OBg+ol8t/KmuTXMmDGDGTNmmO379ttvS4Qr+rlbVPuEwloVQEZGBu3atSvxk7houFjfvn1JTEw0O7Znz55Kx9nR0bHc46Jrii3mzzNnzjBo0CAAunfvzsGDBxk4cGCJcNbIn9XWvDBixAji4uIA2LZtG4MHD8bX15fk5GRSU1NZsWLFPa+xdetW2rdvT2JiItOmTTProACYP39+iZ9jO3bsKPN65V2Y7sKFC7i6urJz505iY2O5cOFCOZ+6ethiWhaJj4+nU6dONGnSpNTjtrIYoFJ9bDF/duvWjd27d2M0GtmzZ0+Z+c4a+bPaarr+/v4sXLiQyZMn07hxY5ycnNi7dy/z5s0jLy+PEydOmIUvra3s5MmTrF+/nq+++or8/PwS8+IjIyOJjIwsd5zKuzCds7Mzer0eBwcHPD09OX36NK1bty73fSzNFtMSCmsTixYtYuvWrWWGsZXFAKtLfej4uRdbzJ+TJk1i8uTJbNq0ibZt25b5+bVG/qy2mq6DgwMuLi689dZbDBs2DIBFixYRHR3Nzp07eeCBB8zCOzs788svvwCYFrHr1q0boaGhJCcnk5KSwj/+8Q+zcyr67VfawnS5ublcuXLFLJyXl5dpAb3jx4/ToUOHyieEBdhiWl67do3x48cTExODk5MTUNgpcfevAltZDLAybLFj8siRI/To0YOOHTua9lm7Y9IW86eTkxNr1qwhPj6egoICPD09bSZ/VuvoheHDh7Ns2TKCg4MBGDZsGE8++SRhYWEl/iECAgLYvn27WXtKSEgIGRkZ+Pv74+/vT3x8vNk5kZGRJCcnm239+vUrMz7BwcGkpaWh0+nw9PSkTZs27Nu3j2XLlpmFmzhxIuvWrcPb25u+ffvSrl27KqZE1dlaWn744Yekp6czYcIEDAYD6enpZGRkMHv2bLNwpaW58ru7Oyb379/Pli1byMrKKjV8586dSU1NNcuTRR0/1mRr+fPw4cP4+fnRr18/nn/+eRo1amQ7+dMSMyykmmepVMXMmTPF29tbrl69Wurxd955R06dOnXP6/znP/+Rnj17SkpKitl+auGMtMq6V1rGxcXJrl277nmdvXv3Su/evWX9+vUljlU0PSuTTpMmTZITJ06IiMiSJUvk3//+t8THx4ter5fevXvLJ598IiIic+bMkR07dsiqVavko48+Mu1LSkqSgoICeeGFF8TPz08GDRokV65cqXA8xo0bV2re8/f3l+zs7D889+73yxaPY0XVRJrXhOrOn5b6rGsipS9BUlGapomlrlWbaJqGiGj3Dlnh66r0LF/4CqdTQkIC33zzDa+//joDBw4kLi4OTdO4//77yc/PR6/Xs2/fPubOnYtOp+Ps2bMletuvXbtGWloar732GvHx8Rw9epTXXnvNdI/58+eXGLVQtDx4kfHjxzN79myzdsT4+Hi++OILVq5c+YfPcPcLdYqPCKiomkjzusBSn/V6MU5XUYqzxY4fKF/HpFL7qUJXqXf+qOPn4YcfLvFOVWdnZ1OHz/Hjx/Hz8zN1/MycORPANEusSHlqusUVdUyuXr3arGPy8uXLVh05o1iexQpdR0fHC5qm1bvc4ejoWC2DeFV6Vq/hw4czatQoUy96UcePm5tbqR0/b731FgcPHsTBofAjExISwvTp0/H39wcKJ1oU7xiqaE23eMckwKpVqzAajbz55pt89NFHpnA///wzzz//PGlpaQQGBhIdHW02kqEmqLxZNRZr01UUa6jN7Ysvv/wyqampfPnll6VOod64cSPNmjUzFexlSUlJYcaMGbzyyis8/fTTFY5HdfVLKKVTha5Sq9XmQtdWqEK3Zln9LWOKoij1iSp0FUVRapAqdBVFUWqQGjKm1Gr1tSfdkmpqxIhSSHWkKUoxmqbFAPcDz9pSD52maQ5AArBPRF63dnyUylM1XUW5Q9O0CYAn0NeWClwAEcnXNG00cFjTtK9FZJu146RUjqrpKgqgaVovCmuSviJy0trxKYumaTpgI+AuIhlWjo5SCaojTan3NE17AIgDXrTlAhdARFKAhUCcpmmO1o6PUnGq0FXqLU3TBmmaZgd8AnwpIuutHadyeg9IB97TCpVc/EuxWap5QamXNE1rAxwH3gKGAnoRuW3VSFWApmlNgYPAm8CHwAO1Kf71marpKvXV40AG8P+AFcCfrRqbinuUwgL3TSAT6G7d6CjlpQpdpb7yBR4DrgPTAXvrRqfCGgKvAleBdoCXVWOjlJtqXlDqJU3TvgUeBF4A4m1tiFh5aJpmD4wA/gUcEJFBVo6SUg6q0FXqJU3T7ESkwNrxsJS69jx1mSp0FUVRapBq01UURalBahqwUiWNGjU6f/PmzXr1whlHR8cLubm5D1XHtVV61n2qeUGpkvq4ckN1rrSg0rPuU80LiqIoNUgVuoqiKDVIFbqKVZ0/f56oqKgyj7/44ouVum5iYiKenp74+flx9uxZs2P5+fk899xz6HQ6Fi5cWKnr2yqVnrWAiKhNbZXeCrOQ7TEYDJKdnS2pqakydepUs2MbN26UBQsWiIjI4MGD5ZdffqnQte88s0rPO2w5PW1xUzVdpcbcunWLkJAQBgwYwDPPPMPq1avJyMhg7NixAHh4eDBp0iTc3NzYvn07ADqdrsL3uXHjBo0aNaJJkya4u7vz/fffmx1PTU2lX79+APj5+XHgwIEqPpl1qPSsndSQMaXGbNq0CS8vL2bNmsWUKVNKHL9y5QpRUVHk5eUxbdo0BgwYUCLM7du3CQoKMttnb2/Prl27TH9fvXqVpk2bmv42Go1m4Ysfd3Z25urVq1V5LKtR6Vk7qUJXqTHp6ek89thjALi5uZU43rJlS1q1agVQ5gf3vvvuIzk5+Q/v4+zsTHZ2tulve3v7Mo9nZ2fTuXPncj6BbVHpWTup5gWlxri4uHD8+HEAvvvuuxLHNe33oZqFTX0l3b59G4PBYLYFBASYhXFyciI3N5ecnBwOHDhA9+7mbz309PQ01eSSkpLo06dPlZ7LWlR61k6qpqvUmKFDhzJy5Ej69+9P48aNadCgQYWvUZ6aGUBERAT9+vXD0dGRTz75BIAZM2awePFigoOD2bhxIzqdjkGDBtGmTZsKx8MWqPSsndSMNKVKKjqDKj8/HwcHB6ZMmUJoaCienp7VGLvqYUsz0lR61j6qpqvUqMGDB5OTk0Pnzp1rZQFha1R61j6qpqtUiXpXgMWvrdKzjlMdaUqtUplxpuU1depUWrZsSXR0dLXdw9ZUZ3oGBwfj4+NDQEBAiVls9ZlqXlCUO15//XX69u1Lfn6+taNSJyxZsgQXFxd27NjBu+++y+LFi60dJZugarqKxe3fvx93d3f8/PyIiYkhLy+PgIAAfH19GT58OEajkYyMDHx8fBgxYgRubm6sW7eOoKAgdDod169fJyMjA29vb0JCQvDw8CA9Pd3sHt988w0GgwFvb29WrVoFwLhx49Dr9fj5+VFQUPGVa2y11722pqeLiwsADRo0KDG2t16z9jxktdXujVLeFTB79mxJSkoSEZGCggIpKCiQGzduiIhIRESEJCQkSHp6uri5uYnRaJTY2FgJCQkREZGoqCjZuHGjpKeni6urq+Tl5UlqaqpMnjxZRES8vb1FRCQoKEiysrKkoKBAAgIC5ObNm+Lv72+6Z3G3bt0SvV5vthWFvduqVavko48+KvVYEWr43Qu1OT3z8/MlICBATp8+bZX0tMVNNS8oFjdlyhQWLFhAdHQ006dPp3v37oSHh3Pu3DkuXLhAly5d6NKlC927d8fOzo62bdvy6KOPAtC2bVt+++03AHr06IGDgwNubm6cPn3a7B7Hjh0jJCQEgEuXLnHp0iXGjRvH2LFj6dChA2+88QZ2doU/5Mo7FtVW1eb0nDlzJqGhoXTq1MlCqVH7qUJXsbhmzZqxdOlSMjMzmThxImFhYXTt2pW1a9cSERFRVKMzmzFV2uyptLQ0jEYjx44dK/Gh7dWrF3FxcTg5OZGXl4ednR2jR48mNDSU8PBwDh48iLu7O1C+9wvYstqanjExMWiaRmhoqOUSow5Qha5icStWrODzzz8nJyeHV199FXd3d6Kiojh06BDOzs506dKlXNdp1aoVQ4cO5eLFi8TGxpodmzdvHsHBwYgIzZs3JyYmhpCQEIxGI02bNqVHjx6msOWtmUVFRbF27VpEhMzMTCIjIyv03NWltqbn1KlT6du3LwaDAb1ez7x58yr03HWVGqerVEl1jSvNyMhg9uzZrFmzxuLXrqraOE63vqanLVKjFxRFUWqQqukqVaJmUFn82io96zhV01Vq3Ny5c9m5c2e1XX/8+PG4u7uTlZVV7vW74uPjcXV1NZuhFRcXR8eOHas1rpZQk+n53//+Fw8PDzw9Pf9wskNp6Z6SkoKrq2u9mvFXGlXoKnVSbGwszs7ObNmyBVdXV1JSUkhJSeH8+fOlhvfw8ODYsWNm+0aMGMH48eNrILa2ryg9e/bsyb59+9i/fz9btmwhKyur1PClpbtOp2PWrFk1HHPbowpdxWLCw8M5efIkAB988AEbNmxg+/btGAwGnnjiCT799FOz8KtXrzbVeubOnUtycjIiwpQpU/D392fw4MGmMaaVVd71u5o1a0bDhg2rdC9Ls8X0bN++Pfb29miahoODg2ns7t3UumllU4WuYjEjRowgLi4OgG3btjF48GB8fX1JTk4mNTWVFStW3PMaW7dupX379iQmJjJt2jSWL19udnz+/PklVjrYsWNHmderzet32WJ6FomPj6dTp040adKk1OO1Od2rmxqnq1iMv78/CxcuZPLkyTRu3BgnJyf27t3LvHnzyMvL48SJE2bhSxvAf/LkSdavX89XX31Ffn5+iXfERkZGVmj8bG1ev8sW0xPgzJkzLFq0iK1bt5YZpjane3VTha5iMQ4ODri4uPDWW28xbNgwABYtWkR0dDQPP/wwXbt2NQvv7OxsWuPr+PHj+Pn50a1bN0JDQ5k5cyYAeXl5ZufMnz+fxMREs31FS8mUpmj9rr59+5KUlMTo0aPJzc0lNzeX5s2bW+S5q4stpue1a9cYP348q1evxsnJCSjsNLt8+TKtW7c2hSst3ZVCqnlBsajhw4ezbNkygoODARg2bBhPPvkkYWFhPPDAA2ZhAwIC2L59u2nOP0BISAgZGRn4+/vj7+9PfHy82TmRkZEkJyebbWUVEFD4Tte0tDR0Oh2enp60adOGffv2sWzZMrNwhw4dIjAwkLS0NAIDA7l582YVU8IybC09P/zwQ9LT05kwYQIGg4H09HTTxIviSkt35Q5rv3FHbbV7o5S3YlnbzJkzxdvbW65evVrq8XfeeUdOnTp1z+v85z//kZ49e0pKSorZfmr4LWPWdq/0jIuLk127dt3zOnv37pXevXvL+vXrzfZXZ3ra4qYmRyhVogbzW/zaKj3rONW8oCiKUoNUoasoilKDVKGrKIpSg9SQMaVKHB0dL2ia1vreIesOR0fHC9V5bZWedZvqSFMURalBqnlBURSlBqlCV1EUpQapQldRFKUGqUJXURSlBqlCV1EUpQapQldRFKUGqUJXURSlBqlCV1EUpQapQldRFKUGqUJXURSlBqlCV1EUpQapQldRFKUGqUJXURSlBqlCV1EUpQb9/7Nhf/fwho5RAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.tree import DecisionTreeClassifier\n",
    "from sklearn import tree as t\n",
    "%matplotlib inline\n",
    "\n",
    "tree = DecisionTreeClassifier()\n",
    "X = df[['Gewicht', 'Irgendwas']]\n",
    "y = df[['Frucht']]\n",
    "tree.fit(X, y)\n",
    "p = t.plot_tree(tree, feature_names=['Gewicht', 'Irgendwas'])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "studied-mozambique",
   "metadata": {},
   "source": [
    "## Vorhersagen\n",
    "\n",
    "Ist ein Baum einmal trainiert, können wir ihn dafür nutzen um neue Datenpunkte vorher zu sagen. Eine gut trainierte *KI* kann neue Datenpunkte mit extremer Genauigkeit vorhersagen.\n",
    "\n",
    "**Aufgabe:**\n",
    "> In der nächsten Zelle finden Sie Code der eine Vorhersage für neue Datenpunkte macht. Fügen Sie hier noch weitere Datenpunkte ein, und prüfen Sie ob dabei heraus kommt was Sie erwarten würden."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "blessed-gospel",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['Apfel', 'Banane'], dtype=object)"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tree.predict([\n",
    "    [111, 120],\n",
    "    [90, 50]\n",
    "])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "minute-magnet",
   "metadata": {},
   "source": [
    "## Zufalls-Wälder\n",
    "\n",
    "Entscheidungsbäume sind ein sehr einfach, aber auch praktisch. Jedoch können Sie schnell an ihre Grenzen stossen.\n",
    "\n",
    "**Aufgabe:**\n",
    "> Finden Sie in einer Diskussion mit Ihrem Sitznachbarn heraus was Vor- und Nachteile von Entscheidungsbäumen sein könnten. Nutzen Sie dazu auch eine Internet Recherche.\n",
    "\n",
    "**Aufgabe:**\n",
    "> Erklären Sie Ihrem Sitznachbarn was Sie unter dem Begriff *Zufalls-Wald* verstehen und was Entscheidungsbäume damit zu tun haben. Führen Sie eine Internet Recherche zu **Random Forests** durch."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}