ML-unsuppervised(Clustering codes by parisan with TKinter method).ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 114,
   "id": "54da3e47",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "id": "188bc625",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     x   y\n",
      "0   25  79\n",
      "1   34  51\n",
      "2   22  53\n",
      "3   27  78\n",
      "4   33  59\n",
      "5   33  74\n",
      "6   31  73\n",
      "7   22  57\n",
      "8   35  69\n",
      "9   34  75\n",
      "10  67  51\n",
      "11  54  32\n",
      "12  57  40\n",
      "13  43  47\n",
      "14  50  53\n",
      "15  57  36\n",
      "16  59  35\n",
      "17  52  58\n",
      "18  65  59\n",
      "19  47  50\n",
      "20  49  25\n",
      "21  48  20\n",
      "22  35  14\n",
      "23  33  12\n",
      "24  44  20\n",
      "25  45   5\n",
      "26  38  29\n",
      "27  43  27\n",
      "28  51   8\n",
      "29  46   7\n"
     ]
    }
   ],
   "source": [
    "Data = {\"x\":[25,34,22,27,33,33,31,22,35,34,67,54,57,43,50,57,59,52,65,47,49,48,35,33,44,45,38,43,51,46],\n",
    "       \"y\":[79,51,53,78,59,74,73,57,69,75,51,32,40,47,53,36,35,58,59,50,25,20,14,12,20,5,29,27,8,7]}\n",
    "\n",
    "df = pd.DataFrame(Data, columns = [\"x\",\"y\"])\n",
    "print(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 224,
   "id": "b36d4e13",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Warning: Cannot change to a different GUI toolkit: qt. Using notebook instead.\n"
     ]
    },
    {
     "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_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\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",
       "    fig.rubberband_canvas.style.cursor = msg['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 https://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",
       " * https://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\", \"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",
       "    // 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=\"data:image/png;base64,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\" width=\"639.8333333333334\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x12e36937850>"
      ]
     },
     "execution_count": 224,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%matplotlib qt\n",
    "plt.scatter(df[\"x\"], df[\"y\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "id": "299844db",
   "metadata": {},
   "outputs": [],
   "source": [
    "kmeans_set = {\"init\" : \"random\", \"n_init\": 10, \"max_iter\": 300, \"random_state\": 42}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "id": "51888e8b",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import StandardScaler\n",
    "scaler = StandardScaler()\n",
    "scaled_features = scaler.fit_transform(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "id": "f7dca0c4",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "\n",
    "List = []\n",
    "for k in range(1,11):\n",
    "    kmeans = KMeans(n_clusters = k, **kmeans_set)  #  ** open dictionary\n",
    "    kmeans.fit(scaled_features)\n",
    "    List.append(kmeans.inertia_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 225,
   "id": "567a8bf3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Warning: Cannot change to a different GUI toolkit: qt. Using notebook instead.\n"
     ]
    },
    {
     "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_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\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",
       "    fig.rubberband_canvas.style.cursor = msg['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 https://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",
       " * https://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\", \"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",
       "    // 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=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAroAAAIMCAYAAAAabg9xAAAgAElEQVR4XuxdB3hVRdr+0guE9AJSIogKFoKsCIIgWABFAQERUMTVXSvu6q4r+qOuXRZ0cRdFV7AroqCCoqCioIRiwYAVFAQpIYX0hPT7nzmYCJyb3HPvnVO/9zyPj0rOnTNv+WbeHObOhJSUlHgIFxgAA2AADIABMAAGwAAYcBkDIQi6LlMUcMAAGAADYAAMgAEwAAZUBhB0YQQwAAbAABgAA2AADIABVzKAoOtKWQEKDIABMAAGwAAYAANgAEEXHgADYAAMgAEwAAbAABhwJQMIuq6UFaDAABgAA2AADIABMAAGEHThATAABsAAGAADYAAMgAFXMoCg60pZAQoMgAEwAAbAABgAA2AAQRceAANgAAyAATAABsAAGHAlAwi6rpQVoMAAGAADYAAMgAEwAAYQdOEBMAAGwAAYAANgAAyAAVcygKDrSlkBCgyAATAABsAAGAADYABBFx4AA2AADIABMAAGwAAYcCUDCLqulBWgwAAYAANgAAyAATAABhB04QEwAAbAABgAA2AADIABVzKAoOtKWQEKDIABMAAGwAAYAANgAEEXHgADYAAMgAEwAAbAABhwJQMIuq6UFaDAABgAA2AADIABMAAGEHThATAABsAAGAADYAAMgAFXMoCg60pZAQoMgAEwAAbAABgAA2AAQRceAANgAAyAATAABsAAGHAlAwi6rpQVoMAAGAADYAAMgAEwAAYQdOEBMAAGwAAYAANgAAyAAVcygKDrSlkBCgyAATAABsAAGAADYABBFx4AA2AADIABMAAGwAAYcCUDCLqulBWgwAAYAANgAAyAATAABhB04QEwAAbAABgAA2AADIABVzKAoOtKWQEKDIABMAAGwAAYAANgAEEXHgADYAAMgAEwAAbAABhwJQMIuq6UFaDAABgAA2AADIABMAAGEHThATAABsAAGAADYAAMgAFXMoCg60pZAQoMgAEwAAbAABgAA2AAQRceAANgAAyAATAABsAAGHAlAwi6rpQVoMAAGAADYAAMgAEwAAYQdOEBMAAGwAAYAANgAAyAAVcygKDrSlkBCgyAATAABsAAGAADYABBFx4AA2AADIABMAAGwAAYcCUDCLqulBWgwAAYAANgAAyAATAABhB04QEwAAbAABgAA2AADIABVzKAoOtKWQEKDIABMAAGwAAYAANgAEEXHgADYAAMgAEwAAbAABhwJQMIuq6UFaDAABgAA2AADIABMAAGEHThATAABsAAGAADYAAMgAFXMoCg60pZAQoMgAEwAAbAABgAA2AAQRceAANgAAyAATAABsAAGHAlAwi6rpQVoMAAGAADYAAMgAEwAAYQdOEBMAAGwAAYAANgAAyAAVcygKDrSlkBCgyAATAABsAAGAADYABBFx4AA2AADIABMAAGwAAYcCUDCLqulBWgwAAYAANgAAyAATAABhB04QEwAAbAABgAA2AADIABVzKAoOtKWQEKDIABMAAGwAAYAANgAEEXHgADYAAMgAEwAAbAABhwJQMIuq6UFaDAABgAA2AADIABMAAGEHThATAABsAAGAADYAAMgAFXMoCg60pZAQoMgAEwAAbAABgAA2AAQRceAANgAAyAATAABsAAGHAlAwi6rpQVoMAAGAADYAAMgAEwAAYQdOEBMAAGwAAYAANgAAyAAVcygKDrSlkBCgyAATAABsAAGAADYABBFx4AA2AADIABMAAGwAAYcCUDCLqulBWgwAAYAANgAAyAATAABhB04QEwAAbAABgAA2AADIABVzKAoOtKWQEKDIABMAAGwAAYAANgAEFXkgdqamrUlqKioiS16IxmOOLmiFm4kSNuYHbGOCSjl9BaBov2b4OjzlzH7yY3IuhKqsvdu3erLXXq1ElSi85ohiNujpiFGzniBmZnjEMyegmtZbBo/zY46sx1/EbQlVyPKB4+AR9aQ2vJw4etmoO/4W9bGVJyZ+BvPv5G0EXxSGGA46DBETPXNwIcteaIGf7mE37gbz5aI+hKiXm/N4Li4VM80BpaSx4+bNUc/A1/28qQkjsDf/PxN4IuikcKAxwHDY6Y8caLz+QAf0NrKZODTRuBv/n4G0FXchGiePgUD7SG1pKHD1s1B3/D37YypOTOwN98/I2gi+KRwgDHQYMjZrzR5TM5wN/QWsrkYNNG4G8+/kbQlVyEKB4+xQOtobXk4cNWzcHf8LetDCm5M/A3H39bFnRLS0tp7ty5tHz5ctq1axeFhIRQ+/btqV+/fnTHHXdQhw4djrD1L7/8Qg8//DCtWbOGSkpK1J+PGjWK/v73v1Pbtm0ll0DgzaF4+BQPtIbWgY8U9v8k/A1/29+lgfcQ/ubjb0uC7o8//khjxoyh3Nxc6tq1K51yyilUW1tLIsyKn73//vvUv3//Zgfn5OTQRRddROXl5dSrVy/1M19++aW6cX3Pnj3V++Pj4wN3vMRPonj4FA+0htYShw7bNQV/w9+2M6XEDsHffPxtetAVb2PPPPNMOnDggPpGd/z48Zo3t3FxcZSSkqL+eUNDA51xxhn0888/0z333EO33HKL+uciGF9xxRW0cuVKmjp1Ks2ZM0diCQTeFIqHT/FAa2gd+Ehh/0/C3/C3/V0aeA/hbz7+Nj3oimUJ8+bNo4ceeohuuOEGny5dtmwZTZkyRX1zm52drS5xaLr2799PJ598svq/27Zto6SkJJ/tGX0DiodP8UBraG30eGJl+/A3/G2l/4x+NvzNx9+mBt3q6mo6/vjjqb6+Xn1DGxsb69PLIgy/+uqr6rrd22+/XXO/WNLw2WefqeF54sSJPtsz+gYUD5/igdbQ2ujxxMr24W/420r/Gf1s+JuPv00Nuhs2bKDhw4er62/FulrxxbJVq1apa287d+5MI0eOpO7dux/h77POOou++eYbWrRoEQ0bNkzj/RkzZqhLIG688UZ68MEHja4Nn+2jePgUD7SG1j4HBAffAH/D3w62r8+uw998/G1q0H3++efpr3/9q/rFstDQUFq6dOkRZhR/9re//Y3+7//+r/nPMzMz1V0WxFtb8aW1o68nn3yS7rzzTrr44ovpxRdf9Gluo29A8fApHmgNrY0eT6xsH/6Gv630n9HPhr/5+NvUoPvvf/+b7r33XoqIiFCfe9ddd9G4ceMoPDyc3nrrLbr77ruppqaG/vOf/6jrcsWVmppKdXV1tGnTJnW3haMvEW5vvvlmGjp0KL355ps+a0O0n5+f7/O+QG8Q7YsrKiqKimqJahqJ2kcH2ppzPnc4buf0OriecsQsGOOIG5iDqxUnfRpaO0mtwPvKUWczx++0tDQ1B9npClHemnqM7tCjjz5K999/v/qY6dOnq/8cfoklCGIpQseOHenbb791XNCtaSDaWFBHG0tC6YvScPqhPIQu6eChe3saTq3R0vlsn+OgwRGzmQOlT9OZeANHrTlihr/tFUyMLHH421it2Qbdp556qjnc/vDDD+oBEYdfFRUVasgVl9g7VyxbcMrShRW7D9LUT4qoWgm7h18d24TRN+PTj9gtwsjitaptjn8NxBGz8BdH3MBs1chi/nOhtfmcW/FEjjpzHb+b/GXKG9333nuPJk2apL7OzsvL8+rt4447jgoLC9X9ccX+uU75MtrO8nrKWuwd0xeXpFH3+EPLNdx6cRw0OGLmOlBy1JojZvibz7pN+JuP1qYG3T179jTveyv+++ije8XhEBkZGeqa3LVr16r3Oml7sd6L99Mv5Ue90lUY/tcZ8fTnnvY5ptiIsM1x0OCIGUGAz+QAf0NrI+YKu7QJf/Pxt6lBVzxs8ODBtHnzZlq4cCGNGDHiCM+LnRXEjgxif92dO3dSZGQk6T0wYuvWrZScnGxpDd26roSe3Vqp6cOITtG08Fxr+2Y0MRwHDY6YEXT5TA7wN7Q2et6wsn34m4+/TQ+6YkuxK6+8Ut0vd/HixdSlSxe1D7m5ueoODN999x1de+21NHPmTPXPxeES/fr183oEsNiZYcWKFbY5AnjZzoM0RVmne/QVFxFCOya1p4jQ3091s7LAjXg2x0GDI2YEXT6TA/wNrY2YK+zSJvzNx9+mB13xQLFX7oIFC9SlC3379qWwsDDauHEjlZWV0emnn67ur3v4qWnii2niMAnxZbWsrCx1m7EvvvhC/VKMOBpYHD4RHx9vef2UKHuJdX11HzWSNtC+f0EK9U839luOVhLAcdDgiBlBl8/kAH9DayvnFKOfDX/z8bclQVc89I033qD58+fT999/r67J7datm/pG9/rrr6foaO3Gszt27KBHHnmEVq9erR4g0aFDBxo1ahTddtttmrW+RhdIa+0PenMPbSnVBt1/ZMXRnb3bWdk1Q5/NcdDgiBlBl8/kAH9Da0MnDYsbh7/5+NuyoGuxxw17/O2r99DTv2iDbt/USPpgZKphz7W6YY6DBkfMCLp8Jgf4G1pbPa8Y+Xz4m4+/EXQlV9LbW3bT1K9CNa2K5bk7JranhCjtzyR3wZLmOA4aHDEj6PKZHOBvaG3JZGLSQ+FvPv5G0JVcVDt27aaBa0KoqkH7VveloUl0UZcYyU+0R3McBw2OmBF0+UwO8De0tsfsYkwv4G8+/kbQlVxDonim5YTQ6kJt0L36xDb0aP8EyU+0R3McBw2OmBF0+UwO8De0tsfsYkwv4G8+/kbQlVxDonhe+ZXokW3aJQpd48Jo07gMyU+0R3McBw2OmBF0+UwO8De0tsfsYkwv4G8+/kbQlVxDonh2KGdGjFrvfS1uzrh0yowLl/xU65vjOGhwxIygy2dygL+htfUzi3E9gL/5+BtBV3IdieLxeIgu2BBBeyobNK3POTOBpp7QRvJTrW+O46DBETOCLp/JAf6G1tbPLMb1AP7m428EXcl11FQ8M3e1pZd/qtK0Piozml4Y4r7jgDkOGhwxI+jymRzgb2gteXq0VXPwNx9/I+hKLr2m4vm8LpmuXlOsaT0hMoS2K9uMhbnsOGCOgwZHzAi6fCYH+BtaS54ebdUc/M3H3wi6kkuvqXhiUjvQcQv3e219lXJwRB/lAAk3XRwHDY6YEXT5TA7wN7R20xx1NBb4m4+/EXQlV/LhxTN4WT5tPlCnecKM09rR33vFSX6ytc1xHDQ4YkbQ5TM5wN/Q2tpZxdinw998/I2gK7mWDi+ef35ZSnO+qdA8YUBGJC0f4a7jgDkOGhwxI+jymRzgb2gteXq0VXPwNx9/I+hKLr3Di2fNvmoatfKA5gkRys5jv0xqT23Ff7jk4jhocMSMoMtncoC/obVLpievMOBvPv5G0JVcyYcXT3W9hzJf3UfV2l3GaNG5yTSsU7Tkp1vXHMdBgyNmBF0+kwP8Da2tm1GMfzL8zcffCLqS6+no4hn7QSGt2lujecp1PdvQI2e45zhgjoMGR8wIunwmB/gbWkueHm3VHPzNx98IupJL7+ji+e+35XTXF2Wap5yYEE4bxqRLfrp1zXEcNDhiRtDlMznA39DauhnF+CfD33z8jaAruZ6OLp5vi+po4NJ8r0/5/tIM6tAmTHIPrGmO46DBETOCLp/JAf6G1tbMJuY8Ff7m428EXck1dXTxeJTzgE9YtJ/yDzZqnvTEwASa3N0dxwFzHDQ4YkbQ5TM5wN/QWvL0aKvm4G8+/kbQlVx63ornz58W0evbD2qeNL5rDD0zOElyD6xpjuOgwREzgi6fyQH+htbWzCbmPBX+5uNvBF3JNeWteBb+XEXXf6Y9Djg1OpS2XpZBoSEhknthfnMcBw2OmBF0+UwO8De0Nn8mMe+J8DcffyPoSq4rb8WTW9VAPZTlC96uTy9OpVOTnX8cMMdBgyNmBF0+kwP8Da0lT4+2ag7+5uNvBF3JpddS8Zz5Vh59X1Kvedp9f2hHN5/i/OOAOQ4aHDEj6PKZHOBvaC15erRVc/A3H38j6EouvZaK587PS+jJ7yo1TxvSIYreGpYiuRfmN8dx0OCIGUGXz+QAf0Nr82cS854If/PxN4Ku5LpqqXg+3FNN4z/UHgccrewu9sukDhQT7ux1uhwHDY6YEXT5TA7wN7SWPD3aqjn4m4+/EXQll15LxVNZ10jHvppLtdpdxuit85NpyDHOPg6Y46DBETOCLp/JAf6G1pKnR1s1B3/z8TeCruTSa614Lnq/gD7bX6t54s0nt6X7To+X3BNzm+M4aHDEjKDLZ3KAv6G1ubOIuU+Dv/n4G0FXcm21VjyPbSmn+77SHgd8SlIEfTYqTXJPzG2O46DBETOCLp/JAf6G1ubOIuY+Df7m428EXcm11VrxfF1YS0PeKfD6xJ+U/XRTY5x7HDDHQYMjZgRdPpMD/A2tJU+PtmoO/ubjbwRdyaXXWvE0NHrouNdyqbjGo3nqM4MSaXy3WMm9Ma85joMGR8wIunwmB/gbWps3g5j/JPibj78RdCXXl6/iueqTInprp/Y44EnHxdKTZyVK7o15zfnCbV5PzHsSR8wIunwmB/gbWps3mpr/JPibj78RdCXXl6/ieXFbJd2cXaJ5aofYUPru0gwKcehxwL5wS6bZFs1xxIygy2dygL+htS0GWoM6AX/z8TeCruQi8lU8v1bU06lv5Hl96sYxaXRCQoTkHpnTnC/c5vTC3KdwxIygy2dygL+htbkjqrlPg7/5+BtBV3Jt6SmePkv20/ayBs2TH+4bT9ef1FZyj8xpTg9uc3pi3lM4YkbQ5TM5wN/Q2rzR1Pwnwd98/I2gK7m+9BTPbetL6JkftccBD+sYRYvOc+ZxwHpwS6ba8uY4YkbQ5TM5wN/Q2vJB1sAOwN98/I2gK7mQ9BTP8l0HafLHRZont1GOAf5lUnuKDHPeccB6cEum2vLmOGJG0OUzOcDf0NryQdbADsDffPyNoCu5kPQUT6lyDnBX5TjgBu0uY7R8RAoNyIiS3Cvjm9OD2/hemPsEjpgRdPlMDvA3tDZ3RDX3afA3H38j6EquLb3FM3x5AW3I1x4H/PdT42hGn3aSe2V8c3pxG98T857AETOCLp/JAf6G1uaNpuY/Cf7m428EXcn1pbd4Hvm6jB7JKdc8vU9KBK26yHnHAevFLZluS5vjiBlBl8/kAH9Da0sHWIMfDn/z8TeCruRi0ls8G/NqaNh7hZqnhyrLc7dPbE+JUaGSe2Zsc3pxG9sLc1vniBlBl8/kAH9Da3NHVHOfBn/z8TeCruTa0ls89cpxwGKdblmddqHuC0OSaFRmjOSeGducXtzG9sLc1jliRtDlMznA39Da3BHV3KfB33z8jaArubb8KZ7Jqw7Q8l+rNT2YenwszRngrOOA/cEtmXLLmuOIGUGXz+QAf0NrywZXEx4Mf/PxN4Ku5ILyp3jm/1BBf99QqulBl7ZhtHl8huSeGducP7iN7Yl5rXPEjKDLZ3KAv6G1eaOp+U+Cv/n4G0FXcn35UzzbS+upz5vejwP+emw6HdsuXHLvjGvOH9zG9cLcljliRtDlMznA39Da3BHV3KfB33z8jaArubb8KR6Px0OnLs6j3RUNml482j+erj7ROccB+4NbMuWWNccRM4Iun8kB/obWlg2uJjwY/ubjbwRdyQXlb/H8JbuYXthWpenFyM7R9PI5yZJ7Z1xz/uI2rifmtcwRM4Iun8kB/obW5o2m5j8J/ubjbwRdyfXlb/G8/ctBmrpaexxwu8gQ2qFsMxYu9htzwOUvbgdA8tlFjpgRdPlMDvA3tPY5CDr4Bvibj78RdCUXqr/FU1TdQN0W7icvpwHThxem0ulpkZJ7aExz/uI2phfmtsoRM4Iun8kB/obW5o6o5j4N/ubjbwRdybUVSPEMeSefvi6s0/Tkjt5xdHuWM44DDgS3ZOpNb44jZgRdPpMD/A2tTR9UTXwg/M3H3wi6kgsrkOK5/6tSenRLhaYn/dMj6f0LUiX30JjmAsFtTE/Ma5UjZgRdPpMD/A2tzRtNzX8S/M3H3wi6kusrkOL5LLeGLlqhPQ44XFme+8vk9hQXYf/jgAPBLZl605vjiBlBl8/kAH9Da9MHVRMfCH/z8TeCruTCCqR4aho8dKxyHHBVvXal7sJzkmhEZ/sfBxwIbsnUm94cR8wIunwmB/gbWps+qJr4QPibj79ND7oXXnghZWdnt2jne+65h2655RbNz3NycmjWrFm0YcMGqqyspMzMTJowYQLddNNNFBERYWJ5tP6oQItn/AeF9OHeGk3jf+rRhmb1S7ANvpY6Eihu2wNrpYMcMSPo8pkc4G9o7eTx2Vff4W8+/rYs6F588cXUpk0bjRdHjx5Nw4YNO+LPV65cSZdffjnV1dVR//79KT09XQ3LBQUFNHjwYFq8eLFtwm6gxfPkdxV05+fa44C7x4fTF5ek+6pZy38eKG7LOx5EBzhiRtDlMznA39A6iOHR9h+Fv/n427Kgu3nzZurSpYvPYigtLaWsrCwqLi6m+fPn07hx49TPlJWVkQjFmzZtorvvvptuvfVWn22ZcUOgxfNDsRLi38732sVvx6dTx7b2Pg44UNxmaGLUMzhiRtDlMznA39DaqLHTDu3C33z8bfugO3fuXJoxY4b6lnfRokVH1IcIuUOHDqXk5GTatm0bhYWFWV4/gRaPOA645+v7KbeqUYPhvwMS6IrjtW+/LQd7WAcCxW0nDP72hSNmBF0+kwP8Da39HROddD/8zcfftg+6I0eOpLVr19K8efNo4sSJmjrq1asX7dq1i5YvX04DBgywvM6CKZ7rPyumhT9rjwO+5NgYevbsJMuxtdaBYHDbGlgrneOIGUGXz+QAf0Nrp47NevoNf/Pxt2VB97bbblOXI4irc+fOdP7559OJJ56o8adY3iCWL6xfv5569Oih+fmUKVNo2bJlNHPmTLr22mv1+NvQe4Ipnte3V9GfPz3EyeFXclQo/TQxg0JD7HsccDC4DRXEwMY5YkbQ5TM5wN/Q2sDh0/Km4W8+/rYs6B7t8hAlxF122WX02GOPUUzMoe20xDpcEYLFJd7axsfHa4pj+vTp9NRTT6m7LzzwwAOOLp78gw10/Gv7vWJYfVEqZaXY9zhgjoMGR8wIunwmB/gbWls+oRrYAfibj79ND7oPPvggdevWjc444wzKyMig3Nxc+uCDD+ihhx5Sg+3YsWNpwYIFar/Ez5re4hYWFlJ4uPYLWSLczp49m6ZOnUpz5szxWRY1NTWUn+/9S18+P6zjBtG+uKKionTcrb1l7IYQ2lahfXP7l+Ma6ZrMgJo05UPB4jalk5IfwhGzoJAjbmCWXDw2bg5a21gciV3jqLOZ43daWlrAOUiizEc0FVJSUqI9rcCop3lp97vvvqOzzz5b3ULs448/ptNOO41l0H30pxB6fpc26J6R6KH5fSyVqFU3cBw0OGI2c6A0cfjx+SiOWnPEDH8H9oLGZwHZ8Ab421itEXRbMH3TeluxHEH8w23pgqDl473VdMkHBzQMRSqnAO9UjgOODbfnccAc/xqII2ZhTI64gdmGScWgLkFrg4i1WbMcdeY6fjdZz/I3uqIj9913n7pG9/BlCJy+jCY4OKgcA5z56j6qadCOCkvOT6Zzjom22XBxqDscBw2OmKE1n3Vt8De0tuVkI6lT8Dcff9sq6IpDH5599lm64YYb1DW74uK0vViTGKNWFNKaXO1xwDee1JYe7Kv9Qp6kug+qGY6DBkfMCLp8Jgf4G1oHNSnY/MPwNx9/2yboivUyYl3u3r176ZlnnqHx48erfeNyYMThY8Lj35TTPV+WaYaJnonhtG60PY8D5jhocMSMoMtncoC/obXNs2pQ3YO/+fjb1KC7ceNGysvLowsuuOCIHRTELgg333wzrVixgo455hj68ssvm7cYO/wIYLEbg9iVQVxuOwL48IrdfKCWBi8r8FrEWydkUHqs9SfAHd05joMGR8wIunwmB/gbWgeVJG3+Yfibj79NDbqvvPIK3XjjjZSSkkJZWVmUmJiovsHdsmULVVRUqH/+xhtvUO/evY8okZUrV9LkyZOpvr6e+vfvT+np6ZSdnU0FBQU0aNAgWrJkCUVERNiirGQUT6NyHLDYT7ewWnsc8NODEmlCt1hbYD28EzJw2w6Ujw5xxIygy2dygL+htdPGZH/6C3/z8bepQXfr1q3qsoSvvvpKDbjiZDSx3+yxxx5Lw4YNU082S01N9erVnJwc9fQz8Va4srKSMjMzacKECTRt2jTbhFyZIeDq1UW05JeDGi4mdIuhpwfZ7zhgjoMGR8wyPe7PpGT1vRy15ogZ/uYTfuBvPlqbGnStnqzMeL6s4nn5p0q6aW2JpssZMaH0g7J8QZwkZ6dLFm47YfLVF46YEQT4TA7wN7T2NQY6+efwNx9/I+hKrlRZxbO3soFOet37ccDrRqdRz0R7LNVook8WbslyGNocR8wIunwmB/gbWhs6gFrcOPzNx98IupKLTWbx9H0zj7aV1mt6KLYYE1uN2emSidtOuFrrC0fMCLp8Jgf4G1o7ZSwOpJ/wNx9/I+gGUiGtfEZm8dy+oYSe/qFS87Rzj4mixeenSO55cM3JxB1cT8z7NEfMCLp8Jgf4G1qbN5qa/yT4m4+/EXQl15fM4lmx+yBd9lGRpocxYSHqccBRyr/tcsnEbRdMvvrBETOCLp/JAf6G1r7GQCf/HP7m428EXcmVKrN4yusa6dhXckk5FVhzLRueQoPaR0nufeDNycQdeC/M/SRHzAi6fCYH+Btamzuimvs0+JuPvxF0JdeW7OIZ8V4Brc+r1fTyllPa0j1/sM9xwLJxS5bFkOY4YkbQ5TM5wN/Q2pCB0yaNwt98/I2gK7noZBfPrJwyevDrck0vs5IjaPXFaZJ7H3hzsnEH3hPzPskRM4Iun8kB/obW5o2m5j8J/ubjbwRdyfUlu3i+LKilc9/VHgcsVudun5hBSdH2OA5YNm7JshjSHEfMCLp8Jgf4G1obMnDapFH4m4+/EXQlF53s4mlo9FDXhblUWqtdqPvc2Yk05lh7HAcsG7dkWQxpjiNmBCh9IgsAACAASURBVF0+kwP8Da0NGTht0ij8zcffCLqSi86I4rni4wP0zq5qTU+v6B5L/x2YKBlBYM0ZgTuwnpj3KY6YEXT5TA7wN7Q2bzQ1/0nwNx9/I+hKri8jiue5HyvplvXa44A7tgmjb8an2+I4YCNwS5ZGenMcMSPo8pkc4G9oLX3QtFGD8DcffyPoSi48I4pnZ3k9ZS3O89rTLy9Jo+PirT8O2AjckqWR3hxHzAi6fCYH+BtaSx80bdQg/M3H3wi6kgvPqOLJWryfdpY3aHo7q188/amH9ccBG4VbsjxSm+OIGUGXz+QAf0NrqQOmzRqDv/n4G0FXcvEZVTy3rCum57ZWaXo7olM0LTw3WTIK/5szCrf/PTHvExwxI+jymRzgb2ht3mhq/pPgbz7+RtCVXF9GFc+ynQdpyifa44DjIkJox6T2FBFq7XHARuGWLI/U5jhiRtDlMznA39Ba6oBps8bgbz7+RtCVXHxGFU9JTaO6zZiy25jmWnFBCvVLt/Y4YKNwS5ZHanMcMSPo8pkc4G9oLXXAtFlj8DcffyPoSi4+I4vn3Hfz6cuCOk2Pb8+Kozt6t5OMxL/mjMTtX0/Mu5sjZgRdPpMD/A2tzRtNzX8S/M3H3wi6kuvLyOJ5cFMZzdqsPQ64b2okfTAyVTIS/5ozErd/PTHvbo6YEXT5TA7wN7Q2bzQ1/0nwNx9/I+hKri8ji2fd/hq64P1CTY/DlOW5Yp1ufGSoZDT6mzMSt/5emHsnR8wIunwmB/gbWps7opr7NPibj78RdCXXlpHFU6cs0D32lVyqqNcu1H15aBKN7BIjGY3+5ozErb8X5t7JETOCLp/JAf6G1uaOqOY+Df7m428EXcm1ZXTxTPjoAK3crT0O+JoT29Ds/gmS0ehvzmjc+nti3p0cMSPo8pkc4G9obd5oav6T4G8+/kbQlVxfRhfP099X0O0bSzW97hoXRpvGZUhGo785o3Hr74l5d3LEjKDLZ3KAv6G1eaOp+U+Cv/n4G0FXcn0ZXTzbSuqo71v5Xnu9eVw6dYkLl4xIX3NG49bXC3Pv4ogZQZfP5AB/Q2tzR1RznwZ/8/E3gq7k2jK6eDweD538eh7trWrQ9PzxMxPoyhPaSEakrzmjcevrhbl3ccSMoMtncoC/obW5I6q5T4O/+fgbQVdybZlRPDeuLaZXftIeBzwqM5peGGLNccBm4JYsVdDNccSMoMtncoC/oXXQg6SNG4C/+fgbQVdyIZpRPEt2VNHVa4o1PU+IDKHtE9tTmAXHAZuBW7JUQTfHETOCLp/JAf6G1kEPkjZuAP7m428EXcmFaEbxFFY30HEL93vt+cfKwRGnKQdImH2ZgdtsTL6exxEzgi6fyQH+hta+xkAn/xz+5uNvBF3JlWpW8Qxamk9birTHAd91Wjv6W684yah8N2cWbt89Me8OjpgRdPlMDvA3tDZvNDX/SfA3H38j6EquL7OK554vSunxbys0vR+QEUnLR5h/HLBZuCXLFVRzHDEj6PKZHOBvaB3UAGnzD8PffPyNoCu5GM0qnjX7qmnUygOa3kcopwD/ohwH3Fb8h4mXWbhNhOTzURwxI+jymRzgb2jtcxB08A3wNx9/I+hKLlSziqdaOQY489V9pCzX1Vyvn5tM53eKloys9ebMwm0qKB8P44gZQZfP5AB/Q2s7jbey+wJ/8/E3gq7k6jGzeC5ZWUgf76vRILi+Zxt6+AxzjwM2E7dkyQJujiNmBF0+kwP8Da0DHhwd8EH4m4+/EXQlF6SZxfPfb8rpri/LNAhOTAinDWPSJSPDG92jGTBTa1PFxJtsDQMcteaIGb/I8Qk/8DcfrRF0JScIM4vnW2XXhYHK7gveru8vzaAObcIko2u5OTNxmwYKgc8rA9DaLg40th8cdUbQ5RN+4G8+WiPoSp4rzCwecRzwCYv2U/7BRg2KJwcm0KTu5h0HbCZuyZIF3BxHzAgCfCYH+BtaBzw4OuCD8DcffyPoSi5Is4vnz2uK6PUdBzUoLu0aQ/8bnCQZHd7oHs6A2VqbJibeZGPpgsIA/M0nCHDUmiNmri8qEHQlpwezi2fhz1V0/Wfa44BTo0Np62UZFBoSIhmh9+bMxm0KKAQ+LF34jQH42w4VZ04foLU5PFv9FI46I+iWlHisNp4bnm928eRWNVAPZfmCt+uzUWl0SlKEKbSajdsUUAi6CLoIutSpE583m1yDAMZvO8wo5vSBo9Z4oyvZW1aYqP9befRDSb0Gyf1/aEfTTjHnOGArcEuWzu/mOGJGEOAT+uBvaO33oOigD8DffPyNoCu5MK0onjs2ltC87ys1SIZ2iKI3h6VIRui9OStwmwKslYdwxIygy2dygL+htdVjrJHPh7/5+BtBV3IlWVE8H+6ppvEfao8DjlZ2F9s5qQNFhxu/TtcK3JKl87s5jpgRdPlMDvA3tPZ7UHTQB+BvPv5G0JVcmFYUT2VdIx37ai7VancZo7eHJdPZHYw/DtgK3JKl87s5jpgRdPlMDvA3tPZ7UHTQB+BvPv5G0JVcmFYVz8j3C2jt/loNmr+c3JbuPT1eMkptc1bhNhwYli5oGIDWVrrOvGdz1Bm/yPEJP/A3H60RdCXPG1YVz6Oby+n+TdrjgMWuC2L3BaMvq3Abjau19jliRhDgMznA39DayvHV6GfD33z8jaAruZqsKp6vC2tpyDsFXtH8pOynmxpj7HHAVuGWLJ9fzXHEjKDLZ3KAv6G1XwOiw26Gv/n4G0FXcnFaVTwNjR467rVcKq7Rboc8f3AijesaKxnpkc1ZhdtQUD4a54gZQZfP5AB/Q2srx1ejnw1/8/E3gq7karKyeKZ+UkRv79QeBzy5eyw9MTBRMlIEXSu1NlRMBHwNAxy15ogZv8jxCT/wNx+tEXQlJwYri+eFrZX0l3UlGkQdYkPpu0szKMTA44CtxC1ZQt3NccSMIMBncoC/obXuwdCBN8LffPyNoCu5QK0snl3l9dRrcZ5XRBvHpNEJCcYdB2wlbskS6m6OI2YEXT6TA/wNrXUPhg68Ef7m428EXckFanXx9Fmyn7aXNWhQPXJGPF3Xs61ktL83ZzVuw4C10jBHzAi6fCYH+BtaWzGumvVM+JuPvy0PujU1NXTWWWfRtm3b1L4UFhZSeHi4V6/n5OTQrFmzaMOGDVRZWUmZmZk0YcIEuummmygiwri3lf4UntXF8/f1JTT/R+1xwMM6RdOic5P9geLXvVbj9quzkm7miBlBl8/kAH9Da0lDpS2bgb/5+NvyoHv//ffTY489Rh7Pod0CWgq6K1eupMsvv5zq6uqof//+lJ6eTtnZ2VRQUECDBw+mxYsX2yLsWl08y3cdpMkfF2kGljbKMcC/TGpPkWHGHAdsNW4rRlKOmBF0+UwO8De0tmJcNeuZ8Dcff1sadL/55hsaMmQIXXHFFfTcc8+1GHRLS0spKyuLiouLaf78+TRu3Dj13rKyMho9ejRt2rSJ7r77brr11lvNqpEWn2N18ZQq5wB3VY4DbtDuMkbLR6TQgIwoQziyGrchoHw0yhEzgi6fyQH+htZWjKtmPRP+5uNvy4JuQ0MDnXPOObR//37auHEjdenSpcWgO3fuXJoxYwYNGzaMFi1adEQdiJA7dOhQSk5OVpc/hIUZezCCryK0Q/EMW15AG/O1xwH/vVcczTitnS8IAf3cDrgD6ngQH+KIGUGXz+QAf0PrIIZH238U/ubjb8uC7uOPP0733HMPPf/88+pb2YSEhBaD7siRI2nt2rU0b948mjhxoqaAevXqRbt27aLly5fTgAEDLC0wOxTPw1+X0cyccg0Pf0iNoI9GGnMcsB1wmy08R8wIunwmB/gbWps9ppr5PPibj78tCbrbt2+ngQMH0qBBg5rf0LYWdMXbXrF8Yf369dSjRw9NLUyZMoWWLVtGM2fOpGuvvdbMWtE8yw7FszGvhoa9V6jpW6iyPHfHxPaUEBUqnSM74JYOCksXvDIArc12mjXP46gzfpHjE37gbz5amx50xZfOxBvazZs3q7sndOzYUe1DS0FXrMPt3Lmzeo94axsfH68Z9adPn05PPfWUuvvCAw88YM2s8NtT7VA89cpxwGKdblmddqHuC0OSaFRmjHSO7IBbOigEXQRdG9U1/G0OAxjLzOHZ6qdw1JnrL3KmB13xpbNbbrmFHnroIbrhhhuavd5S0M3NzW1+i9vSjgwi3M6ePZumTp1Kc+bMabV+xHZm+fn5htWYaF9cUVHGfOlLb8dv3hxCnxRod1gYf4yH7u7h5Ztqehtu4T674A4Shl8f54hZEMQRNzD7VRqOvhlaO1o+3Z3nqLOZ43daWprlOehoM4SUlJTITz9HPWXfvn3Ur18/6tatG3300UdHfHEMQVd3feq6ceFuooe2apcodIzx0PsD5EvNcdDgiNnMgVKX0U26iaPWHDHD39a+oDGpnNXHwN/Gas026F522WX04Ycf0scff0ziC2SHX1i6ILfEt5fWU583vR8H/PXYdDq2nfdDOQLtBce/BuKIWfiDI25gDnRkcN7noLXzNAukxxx15jp+N/nDlDe6IszGxcXRqaeeqvGlOPxBXGeeeSaFhISo24mJgyHEhS+j+V/GYi30qYvzaHeF9jjgx/on0B9PbON/o618guOgwREz14GSo9YcMcPffL6gBH/z0dr0oKs3Xb388svql9bEhe3F9LJ25H03ZxfTi9uqNB++qEs0vTRU7nHAHAcNjpgRBPhMDvA3tA5s5nHGp+BvPv42Nei2Zv/WthfDgRGBDRxv/VJFV60u1ny4XWSIus1YuNhvTNLFcdDgiBlBl8/kAH9Da0nTgy2bgb/5+NsRQffwI4AXLFhAY8eOVfuNI4BbHz+Kqhuo28L95O2rZx9emEqnp0VKG4A4DhocMSPo8pkc4G9oLW2CsGFD8Dcffzsi6IpOrly5kiZPnkz19fXq2t309HQS63oLCgrUgyeWLFlCERERlpeT3YpnyDv59HVhnYaXO3vH0T+y5B0HbDfcZhiBI2YEXT6TA/wNrc0YR616BvzNx9+OCbqiozk5OerpZxs3bqTKykrKzMykCRMm0LRp02wRcu0YAu77qpQe21KhGUv6p0fS+xekShtjOA4aHDHb0ePSTNxKQxy15ogZ/uYTfuBvPlrbJuiaMVmZ8Qy7Fc9nuTV00QrtccDhyvLcXya3p7gIOccB2w03R63NwIwgwGdy4FjT8Df8bdY4atVzuNa14NuU7cWsEtbM59rNRDUNHjpWOQ64ql67UnfhOUk0orOc44DthtsMzTliRhBAEDCjtqx8Bse6BmYrHWfuszlqjTe6kj1mRxON/6CQPtx76Gjiw68/92hD/+qXIIUBO+KWAgx/na1hAFob7Sx7tM9RZ/wih1/k7FF9xvWCa13jja5ET9nRRE98V0H/93mpBuXx8eH0+SXpUtDbEbcUYAi6CLoKA/C30dVkn/ahtX20MLInHHXm+osc3uhKriQ7Fs8PxXXU/+18r0i/HZ9OHdsGfxywHXFLlhaB7zcGoLXRzrJH+xx15hoEOGrNETNXfyPoSp5T7Fg84jjgnq/vp9yqRg3a/w5IoCuOD/44YDviliwtgi6CLnXqhL/aNbqurG4fY5nVCpjzfI46I+iWlHg7V8Acx7noKXYtnus+LaLXth/UMD322BhacHZS0ArYFXfQwFppgCNmrgMlR605Yoa/8YuckXOGHdrmWteCe+y6IMmBdjXRou1VdO2n2uOAk6NC6aeJGRQaEtxxwHbFLUlWr81wxIwggCBgZE3ZoW2OdQ3MdnCeOX3gqDWWLkj2ll1NlFfVQCcs2u8V7eqLUikrJbjjgO2KW7K8RzTHETOCLoKukTVlh7Y51jUw28F55vSBo9YIupK9ZWcTDXg7j74rrtcg/mefdvTXU+OCYsLOuIMChqULGgagtVGOsle7HHXGL3L4Rc5eVSi/N1zrGksXJHrJziaaoWwxNlfZauzoa3D7KFo6PCUoFuyMOyhgCLoIugoD8LdRVWS/dqG1/TQxokccdeb6ixze6EquIDsXz6q91TT2gwMaxFFhynHAk9pTbHjgxwHbGbdkiZub44iZ60DJUWuOmOFvvNE1ar6wS7tc6xpvdCU60M4mqqpvVI8DrmnQAl5yfjKdc0x0wEzYGXfAoHx8kCNmBAEEAaPqyS7tcqxrYLaL+4zvB0et8UZXsq/sbqJRKwppTa72OOCbTmpLD/SND5gNu+MOGBiWLmDpApYuGFE+tm0TY5ltpZHaMY46c31RgaArtXTsv5ZvzpZy+udXZRrUJyWGU/bowI8D5jhocMTMdaDkqDVHzPA3/sZCciSwXXNc6xpLFyRa0e4myimspbPfKfCKeOuEDEqPVRbsBnDZHXcAkHx+hCNmBAEEAZ+F4fAbONY1MDvctH50n6PWmje6dXV1tGzZMlq3bh3t3buXqqqqSBwh6+0KUQ4ZEPfi+p0Bu5uoUdGy+8L9dKBGexzw04MSaUK32IDktDvugED5+BBHzAi6CLpG1JKd2uRY18BsJwca2xeOWh8RdDdt2kRXXnmlGnBFuBVBVlxNQbfp/5v+TPx/UVGRsao4rHUnmOjq1UW05BftccCXdYuhpwYFdhywE3DLthJHzAi6CLqy68hu7XGsa2C2mwuN6w9HrZuD7o8//ugZMGCAGlx79OhB559/Pj3++OPUtm1buu666ygvL4/WrFlDv/76KyUnJ9NVV11FYWFhNH36dOMUcWDLTjDRS9sqaVp2iYbdjJhQ+kFZvnD4LzR6JXACbr1Y9N7HETOCLoKu3vpw6n0c6xqYnepW//vNUevmoPuXv/zF85///IeGDBlCixcvptDQUEpMTKT09HRSQnDzm9158+bRXXfdRRdccAG99NJL/rPs8k84wUR7Kurp5DfyvCqxbnQa9UyM8FslJ+D2G5SPD3DEjKCLoCu7juzWHse6Bma7udC4/nDUujnonnzyyZ7vv/+eVqxYQX379lX//Oig23TzAw88QI899hjNnTuXJk2aZJwiDmzZKSbq+2YebSvVHgf8oLLF2I3KVmP+Xk7B7S+u1u7niBlBF0FXZg3ZsS2OdQ3MdnSiMX3iqHVz0G3Xrp2nsrJSXaIQHh7eHHRF2N2xY8cRjBcWFtLxxx9PZ555Jr377rvGqOHQVp1ion9sKKH//VCpYfm8Y6LojfP9Pw7YKbhl2oojZgRdBF2ZNWTHtjjWNTDb0YnG9Imj1s1BNyYmxhMbG0vbt29vZveYY44hsQtDfn6+hvHMzEw1EP/888/GqOHQVp1iovd/PUgTV2m/SBgbHqIeBxwVduiLiHovp+DWi0fPfRwxI+gi6OqpDSffw7GugdnJjvWv7xy1bg66Xbp08RQUFNC+ffuaWcvKylK/fPb111+T8vPmP6+vr6eMjAx1Ha+3EOwf7e662ykmKq9TjgN+JZfqvewct2x4Cg1qH+WXME7B7RcoHzdzxIygi6Ars4bs2BbHugZmOzrRmD5x1Lo56Co7LnjWr19PYp2uCLHiEluNvfPOO3TvvffStGnTmllfsmQJXXPNNdSpUyfasmWLMWo4tFUnmWjEewW0Pq9Ww/Stp7alu/v4dxywk3DLshZHzAi6CLqy6seu7XCsa2C2qxvl94uj1s1B95ZbbvGI7cQWLFhAY8aMUf986dKlNHXqVFKWNdBtt91GvXr1om+++YZmz55NYj3v1VdfTbNmzZKvhINbdJKJ/pVTRg99Xa5hu3dKBH1yUZpfKjgJt1/AWrmZI2YEXQRdWfVj13Y41jUw29WN8vvFUevmoLtq1SrPueeeS8OGDaPXXnutmd1x48aR8rMj9lYVB0iI9buffPIJpaamylfCwS06yURf5NfSecu1xwGL1bnbJ2ZQUrT+44CdhFuWvThiRtBF0JVVP3Zth2NdA7Nd3Si/Xxy1bg66JSUlXs/5rampoUcffZTEcoU9e/aQsjsDiUAs9tLt0KGDfBUc3qKTTFTf6KFuC3OptFYr/XNnJ9KYY/UfB+wk3LIsxhEzgi6Crqz6sWs7HOsamO3qRvn94qi1z6Arn2Z3t+g0E13x8QF6Z1e1RpQpx8fSfwYk6hbLabh1A8PSBQ0D0FqGe+zfBked8YscfpGzf2UG10OudS1YC2npjW5wlPL7tNNM9OyPlXTreu1xwJ3ahtGWcem6jwN2Gm4ZzuSIGUEAQUBG7di5DY51Dcx2dqTcvnHUGm905XqInGaiX8rqqfcS78cBf3lJGh0Xr+84YKfhliE7R8wIugi6MmrHzm1wrGtgtrMj5faNo9bNQVfZTcHrGl1fFIstxnD9zoATTZS1eD/tLG/QyDirXzz9qYe+44CdiDtY33LEjKDLZ7yDv6F1sGOknT8Pf/Pxd3PQVQ5/8DvohoSE0IEDB+zsZdP75sTiuWVdMT23tUrD1QWdo+nVc5J1cehE3LqAtXITR8wIunwmB/gbWgc7Rtr58/A3H383B10ltPoddMWHi4uL7exl0/vmxOJZuvMgXfmJ9jjgdhEhtF05Djgi1PdxwE7EHaw5OGJG0OUzOcDf0DrYMdLOn4e/+fi7OegqJ5wFFHQ7d+5sZy+b3jcnFk9JTSN1VbYZU3Yb01wrLkihfum+jwN2Iu5gzcERM4Iun8kB/obWwY6Rdv48/M3H381BF7suyClJpxbPue/m05cFdRoSbs+Kozt6t/NJjlNx+wSGpQsaBqB1MK5xzmc56oxf5PiEH/ibj9YIupLnHacWzwObymj2Zu1xwGekRdLKC32ffudU3MHIzxEzggCfyQH+htbBjI92/yz8zcffzUG3S5cuHnGc70cffaTLnyNGjKDc3FzKycnRdT+Xm5xaPNn7a+jC9ws1MoUpy3N3KOt04yNDW5XQqbiD8SVHzAi6fCYH+BtaBzM+2v2z8DcffzcHXfFltPT0dPrxxx91+fPUU09VjwQuKtJ+iUlXAy69yanFU9vgoa6v5lJFvXah7stDk2hklxgE3aMYcKrWwZYeR9zAHKxrnPN5aO0crYLpKUedub6oCDjonnTSSZSXl0eFhdq3gMGYz+mfdXLxTPjoAK3crT0O+JoT29Ds/gkIugi6KgNO9nig4wswB8qc8z4HrZ2nWSA95qgz1/E7oKB78OBBUpY6UGxsLO3cuTMQj7n2M04unqe+r6DpG0s12nRrF0Zfjc1A0EXQRdBldECOk8eyYCYYjriBORjHOOuzHLU+IugmJibSyy+/TB6P953GxJ+XlpbSG2+8QUuXLqX+/fvTe++95yyVDe6tk020taSOzngr3ytDm8elU5e48BbZczLuQC3BETPXNwIcteaIGf7ms24T/uaj9RFBV5x0pucSgVfc+/TTT9P48eP1fITNPU4uHqHrya/n0d4q7XHAj5+ZQFee0AZB9zAGnKx1MAXJETcwB+MYZ30WWjtLr0B7y1Fnrr/INQddcQRwS29yD0vDFBcXRz179qSrrrqKLr300kA95trPOb14blxbTK/8pD0OeHRmDD0/JAlBF0EXa3RdO3odCczpY1mgMnHEDcyBusV5n+Oo9RFvdP3ZdcF58prTY6ebaPGOKrpmjfZY58SoEPr5svYU1sJxwE7HHYg7OGLm+kaAo9YcMcPffP46G/7mo3Vz0B04cKAnKSmJXnzxxUDmfHzmNwacXjwFBxuo+2v7ver5yUWp1Dsl0uvPnI47EANzxIwgwGdygL+hdSDjolM+A3/z8Xdz0J0+fbpHrLudPHkydezY0SletV0/3VA8g5bm05Yi7XHAd53Wjv7WKw5B1yW/1ARaPG7wuL/Ygdlfxpx7P7R2rnb+9JyjzlxfVDQHXbFGNzw8nPbu3UsRERH++AX3HsaAG4rnni9K6fFvKzS6DsyIpHdHeD8O2A24/TUyR8xcB0qOWnPEDH/zecsHf/PRujnopqSkeBobG2nHjh3+zve432VBd/W+ahq98oBG1wjlFOCdynHAbcR/HHVxHDQ4YkYQ4DM5wN/Q2s2TO/zNx9/NQVes0V2/fr0adOPj493sb0OxuaF4qpVjgDNf3UfV2l3G6PVzk+n8TtEIugoDbtA6kGLgiBuYA3GKMz8DrZ2pm7+95qgz1xcVzUH3iSee8Nx0001077330s033+yvZ3TfP2/ePFq3bh19//33VFBQQOKUNeVtMvXt25euv/566tevn9e2cnJyaNasWbRhwwaqrKykzMxMmjBhAok+22mphVuK55KVhfTxvhqNFtf3bEMPn6E9DtgtuHUbGUGXOuGUMH/s4rh7OdY01yDAUWuOmLn6uznolpSUeK6++mpatmwZPfDAAyT+W6zZlX0df/zxpDyLTjrpJGrfvr0aUn/66Sc1+Iovw4kwe8011xzx2JUrV9Lll19OdXV16mlsYhu07OxsNSgPHjyYFi9ebJuw65bi+e835XTXl2Ua+XskhNP6Mel4o4ugi6Are3C0WXtuGcv8pZUjbmD21yXOvZ+j1s1BV9ltQT0w4p133lHfmIrlC3369FHftoaFhXlVVQTTuXPn+qW4eCPbq1cviomJOeJz4rlTp05Vn7VlyxbKyMhQfy6OHM7KyqLi4mKaP38+jRs3Tv3zsrIyGj16NG3atInuvvtuuvXWW/3qh1E3u8VE3yi7Lpyl7L7g7fphQga1jz3SE27B7Y8vOGLm+kaAo9YcMcPffNZtwt98tG4OukpoVbcX83U6mvhA033i30VFRf5kg1bvHTVqFK1Zs4aee+45GjNmjHqvCNIzZsygYcOG0aJFi474vAi5Q4cOpeTkZNq2bVuLgVxaB3U05JbiaVR+6Tlx0X7KP9ioQf3kwASa1P3I44DdgluHxM23cMSMIMBncoC/obU/46HT7oW/+fi7OehOnDhRDbr+Xk8++aS/H2nx/rFjx9KqVavo5ZdfppEjR6r3iX+vXbuWxNpepY+az4q3w7t27aLly5fTgAEDpPUl0IbcVDx/XlNEr+84qKHiLy1okAAAIABJREFU0q4x9L/BRx4H7CbcerXniBlBl8/kAH9Da71joRPvg7/5+Ls56Io1ulaa9ZNPPlG/XBYdHU1ff/21+pZWXF26dFGXL4gdIXr06KHp4pQpU9R1xTNnzqRrr73WSgjqs91UPK/+VEk3rC3RcJoWE0pbleULh/9i5Cbcek3EEbPbPA6tW2YA/uYTBDhqzREz1/HbsqAr3gR/8803VFNTQ9u3b6fNmzdTXFwcPfPMMzR8+HC1X2IdbufOndX/Fm9tvW17ppzoRk899ZS6+4L4Ep3Vl5uKZ19lA/V83ftxwGtHpdHJSb8fLOIm3Ho9xBEz14GSo9YcMcPfCPd6x3+n3se1roVeIWa/0RVvb8VuCk1XYmIizZkzh8Q63aYrNze3+S1uYWGh110gRLidPXu2+kU28XlflwjW+fnev2Tl67N6fi7aF1dUVJSe221/z5j1IfRzpXZJy9+6N9LULr9332249QjDEbPghSNuYNZTEe64B1q7Q0dfKDjqbOb4nZaWZrscdETQFQH0o48+ol9//VXd51YsDWi6xI4M3377rfrX1mLv22Cv8vJy2rp1Kz322GP03nvvqduINe3kgKAbLLvBf37m1hB6ebc26J6Z5KGnT/t9tQvHQYMjZjMHyuDdK68FjlpzxAx/u+MFjZ7Kh7+N1dq2QXf//v10xRVX0FdffaX6ROzAcPTOCmIv2969e9O+ffvoww8/VLcgk3GJZ11yySUk1uo+++yz6n9j6YIMZoNr44Pd1XTpR9rjgKOV3cV2TupA0eGHQjDHvw7hiBla4692gxtR7P9pjnUNzPb3pawectS6ibsQJeR6xFZdP/zwg3qQg9jt4NVXX6WqqirNFmIPPfSQerCD2Lv2rrvuksU/LVy4UD0dTeyVK/bMFRe+jCaN3oAaqqxrVI4DziXlX5pr6bBkGtzh0HHAHIuHI2ZojaAb0EDioA9xrGtgdpBBg+wqR62bg+7DDz/sufPOO9UTy95//331i2EnnHCCevrY0XvliuN4hwwZop5SJpYbyLrEG+Lx48fT2WefTW+//bbaLLYXk8Vu4O2MfL+A1u6v1TTwl5Pb0r2nxyPoMjoKF0EXQTfwkcQZn+QYBIDZGd6U0UuOWjcH3X79+nk+//xzevPNN9WgKa6Wgq5YviBOLhOnpon1tbKuf/7zn+oXyv74xz+qa3bFhQMjZLEbeDuPbi6n+zdpjwM+Vdl14VNl9wWEHz7hB1rz0ZrrhMgRNzAHPj867ZMctW4OugkJCZ6KigoSXwCLiDi0bVRLQVf87Nhjj1WXNeTl5enWWRz/K758ds4551BoaGjz5xobG9VTz/76179SbW2t+kW4prW/hx8BvGDBAhKHSogLRwDrpj3oGzcV1NLQdwu8tvPzROUXHmXBLsfi4YgZQRdBN+gBxeYNcKxrYLa5KSV2j6PWzUFX2Q7LIw5rEPvVNl2tBd1Oyl/Xii+Q7dmzR7cEr7zyCt14443qYRDiRDPxb7EsQrwVFu2EhYXRgw8+SNddd90RbYpdICZPnkz19fXqcon09HTKzs5Wl1UMGjSIlixZ0hzOdXfGoBvdaKKGRg91W5hLJbXaM0UWDE6ksV1jEXQN8pMdm3Wjx33xDMy+GHLPz6G1e7RsDQlHnbm+qGgOuh06dPCIXRfElmJt27ZV/7yloCvCcFZWFnXt2rV5hwY9pbFz50566aWXaN26dST++8CBA+reuB07dlQD7DXXXEOnnHKK16bEumBx+tnGjRtJbHGWmZmpnqQ2bdo024RcN5to6idF9PZO7XHAk7vH0hMDExF09RSAS+7hOEEAs0vMqwMGtNZBkgtu4aizmzOKHkuGXHjhhR7xJbTnnnuu+dCGloLuvffeq66lnThxIokTznD9zoBbi+eFrZX0l3Xa44CPiQ2jby9Nb36zL970c7ncqrUv/TjiBmZfrnDPz6G1e7TEG10tAxz93fxGV3nT6pkyZYp6EpnYSUFZs+v1je5bb71Ff/rTn0isq33nnXdowIABPKpCJ0q3mmhXeT31Wux9PfbnY9IopvzQUcEIujqN4uDb3OpxTIpHMsBRZ65vvDhqzREzV383B11xBLDYv3bVqlXqkoQrr7xS3flAfOlLrK0VyxXEG9/PPvtMXZs7ZswY9WAHXHwmhz5L9tP2sgaN5I+cEU8XxhUj6DIpBo4TBDAzMbcCE1rz0Jqjzgi6StAVOyJMnTqVPv74Y/VEtKMvEXDFdd5559Hzzz9PsbGxPCrCD5RuLp6/ry+h+T9WatgY1imaZp9QhaDrh0+cfKubPd6SLsDsZMf613do7R9fTr2bo84IukrQFSSIMCv20n3hhRfoiy++oOrqatXH4ktjf/jDH+iqq65SD3XwFoSdaniZ/XZz8by76yBd/nGRhq62yjHAnw5qoAhlxzgsXZDpJnu25WaPI+j+zgBHnbkGAY5ac8TM1d9No1qIWLpw9CAv1uEWFxer63GTkpLU7b9wtc6Am4untLaRuirHATdodxmj5/s0Up9EBF0O9eFmjyPoIujC3xxGMZ5LVBB0vQRdHnaXi9Ltg+Sw5QW0MV97HPCfj/XQtG4evNGVaydbtuZ2j3sjHZhtaUVDOgWtDaHVdo1y1BlBF0FXSiG6vXge/rqMZuaUa7g6tZ2HXumLoCvFRDZvxO0eR9A9xABHnbni5qg1R8xc/e116YI4OOK7775Tly3U1dW1Ou2KvXRx8fnrvg15NTT8vUKN5KHkoU8He+jkrthH1+31wHGCAGa3u5rPGI5f5PCLnGCA0/dpjgi6P/zwA912223qyWV6LvGFNHG6GS4+g2SdchywWKdbXqddqPvvUxvpqj4Ium6vB4Q+tyuMIMAtCKCmedQ0+ze6mzZt8gwZMoTEFmNi54XIyEhKSUnx+QW0LVu28HGIDqQcBoxJqw7Qe78e2o3j8Gv8MR565vyOOlhyxy0ctMbbH76hD/7GL+3uGKm9o4C/+fi7+Y3upZde6nnjjTcoPT2d/v3vf6t75YotxXD5xwCH4nnmhwq6bUOphpiOMR769jIEXf8c47y7OXj8aFWA2Xk+DbTH0DpQ5pz1OY46s3+jm5GR4cnPz6fFixfT0KFDneVYG/WWQ/H8XFpHf3gz3yvrOePSKTOOxy9IHLTGG1280eW2lo9jXQOzjUKEwV3hqHXzG92oqCiPWHO7b98+Cg1Vdv7HFRADHEwklrac8kYe7anUHgf87/4JdNWJbQLizmkf4qA1gi6CLoKu00Ym//vLcSzjiJn9G92OHTt6ysrK6Ndff/W/SvCJZga4FM/N2cX04rZDx/4efl3UJZpeGprMwhFctD5aTI64gZlFSasgoTUPrTnqzNXfzW90r7zySs9LL71E69evpxNOOIGH0w1AyaV43vqliq5aXaxhMD4yhHZMbE9hoSEGsGuvJrlojaCL8GOvyjO2NxzrGpiN9ZSdWueodXPQzcnJ8QwaNIj69+9Pr732GollDLj8Z4CLiYqqG6jbwv3K7rna66ORqfSH1Ej/yXPYJ7hojaCLoOuw0gyquxzrGpiDsoyjPsxR6+agW6KcjJadnU2XX3459ezZk/7xj39Qnz59qG3bto4S0erOcjLRkHfy6etC7YEid/aOo39ktbNaCsOfz0nrw8nkiBuYDS8n2zwAWttGCkM7wlFnQShX3AJ7iPIFNG8v51o1Gg6M0NLDyUT3fVVKj22p0JCQGh1K68ekUUp0mKEDldWNc9IaQXe3SgGnL2bB33z2GeWoNUfM7IOuEloDCrpFRUVW5w1bPZ9T8XyaW0MXr9AeBywEEV9Ke3FIkquXwHDSGkEXQddWA62BneFY18BsoKFs1jRHrZskCHn33Xf9DrriwwMHDrSZjNZ2h5OJxHHApy3Jo90V2m3GhApPD0qkCd1irRXEwKdz0hpBF0HXwFKyVdMc6xqYbWVBQzvDUevmoCvW6BrKLpPGuZlo+a6DNPlj72/12yk7MKwblUYd27rzAAluWjeVMEfcwMxkAFdgQmseWnPUmf3SBQRdOcXNsXhu+KyYXv1Zu6euYHRw+yh6a1gyhbpwFw+OWnMdKDlqzREz/I11yXKSgH1b4VrXQpEQBF05xuRoorLaRuq3ZB/tq/a+Jd2/zoinP/d03+4dHLVGEEAQkDNS2rcVjnUNzPb1o+yecdS6eekCdl2QYyeuJnpz82764ybvR0fHhIXQp6NSqXt8hBySbdIKV6054gZmmxSdCd2A1iaQbINHcNSZ64uK5qCLXRfkVB7n4vnXthB66Vfvb3X7pETQygtTKdxFJ6Zx1lpUC7bakjNm2LUV+Btv7+3qTRn9gr/5+Ls56E6fPj2gL6Mpn5PhOde0wbl4lMPS6PJNkbS1tN6rnm47SIKz1gi6rhmyWgQCf/MJAhy15oiZ/RtdrNGVM3FxL54DMel07rsFVO/l16Zw5WWvOB44K8UdxwNz1xpvdOWMGXZtBf5G0LWrN2X0C/7m4+/mN7oIujJKh+fWNEf/ljgzp4we/rrcK6EnxIfT6ovTKEakXodfGCj5DJQcteaImesbL45ac8TM1d8IupLDFoqnE4mDJIYtL6BNhXVe2b3xpLb0YN94ycyb3xy0RtA133XmPRH+hr/Nc5v5T4K/+fgbQVdyfaF4DhXPtpI6GrQsn8S63aMv8S532fAUOkvZY9fJF7TmM1By1JojZq5vvDhqzREzV38j6EpOWiie38PPU99X0PSNpV4Z7tQ2jLKVU9PaRXrfkkyyLIY0B60RdA0xlk0ahb/hb5tY0ZBuwN98/I2gK7mEUDy/F0+jx0NjVh6gNbk1Xlm+vHsszR2YKFkB85qD1nwGSo5ac8TM9Y0XR605YubqbwRdybkIxXNk+NlTUU9nLs2nslrvu9e9ek4SXdA5RrIK5jQHrRF0zXGaNU+Bv+Fva5xnzlPhbz7+RtCVXFMoHm3xvPZzFV33WbFXplOjQ2n9mDRKiQ6TrITxzUFrPgMlR605Yub6xouj1hwxc/U3gq7kPITi0YYfj7KEYconRfTOrmqvbI/sHE0vDU0i5XQ+yWoY2xy0RtA11mHWtg5/w9/WOtDYp8PffPyNoCu5llA83ounUNl+of9b+VRQ3eiV8XlnJdLE42Ilq2Fsc9Caz0DJUWuOmLm+8eKoNUfMXP2NoCs5C6F4Wg4/7/16kCatKvLKeLuIEMoenUad2oZLVsS45qA1gq5x7rK+Zfgb/rbehcb1AP7m428EXcl1hOJpvXhuWltML/9U5ZX1Qcq+um8PS6ZQhyxhgNZ8BkqOWnPEzPWNF0etOWLm6m8EXQRdKQzoHTTKahtpgLILw+4KLydJKD155Ix4uq5nWyl9MroRvZiN7ofZ7XPEDcxmu8y650Fr67g388kcdUbQLSnxvv+Tmc5zwbNQPL7f8q3dX0MXvV9I3gwnNl/49OI0Oj4hwvZugNa+tba9iDo7yFFrjpi5BgGOWnPEzNXfeKOrc6LTexuKR1/4+b/PS+mJ7yq80to7JYI+uDCVIkLtvQsDtNantd7asfN9HLXmiJlrEOCoNUfMXP2NoCt5dkXx6As/1fUeOvudfPqxpN6rAnf0jqPbs9pJVkduc9Ban9ZyWbemNY5ac8TMNQhw1JojZq7+RtCVPG+iePSHn5zCWjr33QJSMq/mClde5n44MpV6p0RKVkhec9Bav9byWLemJY5ac8TMNQhw1JojZq7+RtCVPG+iePwLP7NyyujBr8u9qnBCfDitVtbrxojUa8MLWvuntQ0l1N0ljlpzxMw1CHDUmiNmrv5G0NU91em7EcXjX/ipb/TQsOUF9FVhnVeCbzipDT3UN0Ef+SbfBa3909pkeaQ+jqPWHDFzDQIcteaImau/EXSlTodEKB7/w89PpXU0aGkBHWzwvvHHsuEpJPbYtdsFrf3X2m4a6u0PR605YuYaBDhqzREzV38j6Oqd6XTeh+IJLPz87/sK+sfGUq8sd2wTpp6aFh8ZqlMFc26D1oFpbY46cp/CUWuOmLkGAY5ac8TM1d8IunLnQ7zR7RRY+Gn0eOiSDw7Q6n01XhWZdFwsPXlWomS1gmsOA2VgWgfHujWf5qg1R8xcgwBHrTli5upvBF3J8yaKJ/Dws6eins5UTk0rq/W+hOHloUk0skuMZMUCbw5aB6514Kxb80mOWnPEzDUIcNSaI2au/kbQlTxvoniCCz+LtlfRtZ8We1UlJTqU1itLGFJjlOPTbHBB6+C0toGEurvAUWuOmLkGAY5ac8TM1d+mBt2qqir65JNPaMWKFbRhwwb1r/lDQkKoS5cuNHz4cJo2bRolJyd7nXxycnJo1qxZ6ucqKyspMzOTJkyYQDfddBNFRNjnuFgUT3Dhx6MsYbjykyJatqvaqw8u6BxNryhvdoVvrL6gdXBaW62fP8/nqDVHzFyDAEetOWLm6m9Tg+6LL75IN998s/rMbt260UknnUQ1NTX0xRdfUFFREbVv357effdd9WeHXytXrqTLL7+c6urqqH///pSenk7Z2dlUUFBAgwcPpsWLF9sm7KJ4gg8/hdUNdObb+ZR/sNFrFnlyYAJN6t7Gn5xiyL3QOnitDRHGgEY5as0RM9cgwFFrjpi5+tvUoPvqq6+qb2Svu+466tmzZ/N0VFpaSn/84x9p1apVdMYZZ5AItk2X+FlWVhYVFxfT/Pnzady4ceqPysrKaPTo0bRp0ya6++676dZbbzVgevO/SRSPnPCzYvdBuuyjIq8CtIsIobXKEobObcP9F0jiJ6C1HK0lSmJYUxy15oiZaxDgqDVHzFz9bWrQbW0Wys3NpR49eqi3bNmyhTp37qz+99y5c2nGjBk0bNgwWrRo0RFNiJA7dOhQdbnDtm3bKCzM+rWbKB554efm7GJ6cVuVV9uclRFJS5X9dUMtXMIAreVpbVhCldQwR605YuYaBDhqzREzV3/bJuiKjhx33HFUWFhIH3zwAfXt21ft28iRI2nt2rU0b948mjhxomba6tWrF+3atYuWL19OAwYMkDStBd4Mikde+Cmva6QByhKGXysavArycN94uv6ktoGLFeQnobU8rYOUwvCPc9SaI2auQYCj1hwxc/W3bYJuSUmJuja3oaGBxBfPxJfNxCW+qCaWL6xfv775je/hs9qUKVNo2bJlNHPmTLr22msNn/B8PQDFIzf8ZO+voZHvF5K3DceilRf4ay5OoxMSrPkyIrSWq7Wv2rLy5xy15oiZaxDgqDVHzFz9bZug+/DDD6thVazdXbdundovsQ63aQmDeGsbHx+vmeumT59OTz31lLr7wgMPPGDlXKg+G8UjP/zc9UUp/ffbCq/aZiVH0IcjUyki1PxdGKC1fK0tL+AWOsBRa46YuY7hHLXmiJmrv20RdMVa2xEjRqg7MLz55pvqultxHb5uVyxpCA/XfvlIhNvZs2fT1KlTac6cOT7nSfGM/Px8n/cFeoNoX1xRUVGBNuHIzxmJu0ZZuXDZ5yH0c6X3MHv9sR66oZv3QyaMJNNIzEb2O9i2OeIG5mBd45zPQ2vnaBVMTznqLPgyC3daWprtclCIsnTA/KSgkL53714677zzaN++ferWY/fdd1+zdxF0gyljcz9rdPH8UEY06YsQqvdow25YiIde/oOHTta+8DeUBKMxG9r5IBrniBuYgzCMwz4KrR0mWIDd5agzgq4FQVfsnSve5G7dupUuu+wy9Qtnhx8EgKULAVawBR8z46+BZm8upwc2KYnXy9U9Ppw+VdbrxoSbt4TBDMwWSOnzkRxxA7NPW7jmBmjtGilbBcJRZ0EIV9wCu+lvdEWIvfjii9Uvnl144YUkDpPwtj0YvozmjEHHjOKpb/TQ8PcK6MuCOq+kXNezDT1yRoJphJmB2TQwfjyII25g9sMgDr8VWjtcQJ3d56gzgq6Jb3TFUcBjx45Vd1IYMmQIvfbaay2u5cD2Yjqr1uLbzBo0fi6to7OWFtDBBu8rbZYOS6HBHcxZH20WZoul1TyeI25gtpsLjesPtDaOWzu1zFFnBF2Tgm5tba26H644BU0c57tkyRKKjY1t0f84MMJOQ0PLfTFz0Hjmhwq6bUOp1850bBNG2cqpafGRoYYTZyZmw8H48QCOuIHZD4M4/FZo7XABdXafo84IuiYEXbFHrjjqd+nSpdS7d2/13+3atWvVlocfAbxgwQL1TbC4cASwzmo26TYzBw2Px0OXfHCAPtl3aIeLo6+Jx8XSvLMSDUduJmbDwfjxAI64gdkPgzj8VmjtcAF1dp+jzgi6JgRd8WWzO+64Q7Xh8OHDKTHRexgRh0CIt71N18qVK2ny5MlUX1+v/nl6ejplZ2dTQUEBDRo0SH0rHBFhzaEBR9cUisecvVX3VjbQmW/nUWmt9yUMLw1Noou6xOgc8gK7DVqbo3Vg6sj9FEetOWLmGgQ4as0RM1d/N80GpnwZrelQCF9T0BNPPKEG28Mv8aU1caDExo0bqbKyUj05bcKECTRt2jTbhFzOJrJi0HhjexX96dNir3ZKiQ6l9coShtQY5fg0gy4rMBsExa9mOeIGZr8s4uibobWj5dPdeY46c84oArspQVe3Ax18I4rHvLd8YgnDVauL6e2dB706ZkSnaHr1nKQjtqyTaS1obZ7WMnULpC2OWnPEzDUIcNSaI2au/jb1jW4gE4zTPoPiMTf8HKgWSxjyKe9go1erzB2YQJd3b2OIjaC1uVobIqLORjlqzREz1yDAUWuOmLn6G0FX50Sn9zYUj/nhZ+Xuaprw0QGvEsVFhNDaUWnUJU57fLReTVu6D1qbr3WwmgX6eY5ac8TMNQhw1JojZq7+RtANdOZr4XMoHmvCz1+yi+mFbVVeVRmQEUnvDE+h0BC5p6ZBa2u0llyyuprjqDVHzFyDAEetOWLm6m8EXV3TnP6bUDzWhJ/yukYaqCxh2FXR4FWsB/vG040ntdUvpI47obU1WuuQRvotHLXmiJlrEOCoNUfMXP2NoCt5SkTxWBd+1u2voQvfLyRvG45FKZsvrLk4jU5MkLcNHbS2TmvJZeuzOY5ac8TMNQhw1JojZq7+RtD1OcX5dwOKx9rwc/cXpfSfbyu8itYrOYI+GplKEaFyljBAa2u19q8yg7ubo9YcMXMNAhy15oiZq78RdIOb/zSfRvFYG35qGjw0ZFk+fV9S71XZf2TF0Z29Wz+NT68loLW1WuvVScZ9HLXmiJlrEOCoNUfMXP2NoCtjFjysDRSP9eFny4FaOufdAlKW7WquMOVl7gcXplKf1MiglYfW1msdtIg6G+CoNUfMXIMAR605YubqbwRdnROd3ttQPPYIP49tKaf7virzKlv3+HBlvW4qxYaH6pXV633Q2h5aByWizg9z1JojZq5BgKPWHDFz9TeCrs6JTu9tKB57hJ/6Rg9d8F4hfV5Q61W6P/doQ//ql6BXVgRd5n9rwbGuOWLmGgQ4as0RM1d/I+gGFXW0H0bx2CPoCmW2l9bTWcp63ap6b/swEL09LJnO7hAdsAOgtX20DlhEnR/kqDVHzFyDAEetOWLm6m8EXZ0Tnd7bUDz2Cj8Lfqygv60v9SrfMbFhlD06jRKiAlvCAK3tpbXeGg3kPo5ac8TMNQhw1JojZq7+RtANZNZr5TMoHnuFH4/HQ+M+PECr9tZ4VW1Ctxh6elBSQC6A1vbSOiARdX6Io9YcMXMNAhy15oiZq78RdHVOdHpvQ/HYL/zsq2yg/m/nUWmt9yUMLwxJolGZMXolbr4PWttPa79F1PkBjlpzxMw1CHDUmiNmrv5G0NU50em9DcVjz/CzeEcVXbOm2KuMScrShfXKEoZ0ZSmDPxe0tqfW/mio916OWnPEzDUIcNSaI2au/kbQ1TvT6bwPxWPP8COWMPxxdTG9tfOgVyWHd4qmheckUUiI/lPToLU9tdZZqn7dxlFrjpi5BgGOWnPEzNXfCLp+TXe+b0bx2Df8FFU30Jlv59P+g15OklCk/e+ABLri+Da+Rf7tDmhtX611i6jzRo5ac8TMNQhw1JojZq7+RtDVOdHpvQ3FY+/w8+GeahqvfDnN29U2PITWKksYMuPCdckNre2ttS4Rdd7EUWuOmLkGAY5ac8TM1d8IujonOr23oXjsH35uWVdMz22t8irpmemR9O6IFArVsYQBWttfa7116+s+jlpzxMw1CHDUmiNmrv5G0PU1w/n5cxSP/cNPRV0jDVyaTzvLG7yqe//p7WjayXE+lYfW9tfap4g6b+CoNUfMXIMAR605YubqbwRdnROd3ttQPM4IPxvyamiEckSwtw3HIpXzI1ZfnEY9EyNalR1aO0NrvbXb2n0cteaImWsQ4Kg1R8xc/Y2gK2MWPKwNFI9zws8/vyylOd9UeHXAqUkR9NHIVIoMa3kXBmjtHK2DLXOOWnPEzDUIcNSaI2au/kbQDXYGPOrzKB7nhJ+aBg8NeSefvi+u9+qCv/eKoxmntWvRIdDaOVoHW+YcteaImWsQ4Kg1R8xc/Y2gG+wMiKCrMuDUQeObojoaqoRdZdmu5gpVXuauvCCVTk+L9OoSp2IO1vIccQNzsK5xzuehtXO0CqanHHV28lwdjNYIujLYw9IFxwZdId2/t5TTvV+VeXVCt3Zh9NmoNIoNVxbu4pcaR/9SE0ypc5wUOWLmGgQ4as0RM1d/I+gGM/t5+SyKx3l/nd3Q6KEL3i+kjfm1Xt3wpx5taFa/BATd3xjg6HFgljxQ2rg5aG1jcSR2jaPOCLolJd6+gC7RVjyaQvE4L+gKZ+4oq6ezlC3HKuu9l8Fb5yfTkGOijzAxtHam1oGMRBy15oiZaxDgqDVHzFz9jTe6gcx6rXwGxePc8PPcj5V0y/oSr+p2iA2ldaPTKSHq9yUM0Nq5Wvtb9hy15oiZaxDgqDVHzFz9jaDr74zn434Uj3PDj8fjUY8H/mhvjVeVL+0WQ/8blNT8M2jtXK39LXuOWnPEzDUIcNSaI2au/kbQ9XfGQ9D1yoAslP+gAAAgAElEQVRbBo3cqgbq/1YeldR6X8LwwpAkGpUZo3LgFsz+lgBH3MDsr0ucez+0dq52/vSco86c5y2BPaQEa3T9qZEW70XxOP8t35s7quiPa4q9apykLF1YNzqNMmLDEHQ7OV9rvUXPsa45YuYaBDhqzREzV3/jja7emU7nfSged4Sfq1cX0ZJfDnpVfVjHKHrt3GTas2eP+vNOjAIf14GSY11zxAx/u2P81jNdw998tEbQ1VMRftyD4nFH8RTXNKpLGPYf9HKShOKH/wxIoCExRQi6ftSGk2/lWNccMSPoumP81jPWwN98tEbQ1VMRftyD4nFP8Xy0p5rGKV9O83a1DQ+h1/s2UKdYvNH1ozwceyvHuuaIGUHXPeO3r8EG/uajNYKur2rw8+coHncVz63rSujZrZVeXXBagoee7eOhzM7uwuzL8hw9Dsy+XOGen0Nr92jZGhKOOnP9RQ5BV3JNo3jcFfoq6hrVgyR+KW/w6pS/dW+kuwa6C7OvkuDocWD25Qr3/Bxau0dLBF0tAxz9jaAruaa5msjNuDfm1dAI5Yhg5aRgzRUR4qE1o9KpZ2KEZCfZtzk3a90S68BsXz/K7hm0ls2oPdvjqDPe6GJ7MSnViOJx59vN+74qpce2VHj1yMlJESSOCE6NCZPiIbs3wtHjwGx3V8rrH7SWx6WdW+KoM4Iugq6UmkTxuDPo1jZ4aOi7BfRtUV2LPjkpMZzO7hCt/BNF/dMjqW3E78cFSzGXTRrh6HFgton5TOgGtDaBZBs8gqPOCLoIulJKD8XjzqArzCFC7tB38qnW+45jR/hHZNzTUyPV0Cv+OS0lksJDQ6R4zOpGOHocmK12nXnPh9bmcW3lkzjqjKCLoCul5lA87g26wiCPf1NO93xZ5rdX4iJCaGBGFA3+LfieEB9OISHODL4cPQ7MflvesR+A1o6Vzq+Oc9QZQRdB168iaelmFI+7g26D8o20C5Uvpm3Irw3KLxkxob+F3mga3D6KOrRxzvpejh4H5qDs7qgPQ2tHyRVwZznqjKCLoBtwwRz+QRSPu4Ou0HpPRT2NXFFIO1vYciwQI4k3vE1vewcob37jI+27vpejx4E5EFc78zPQ2pm6+dtrjjoj6CLo+lsnXu9H8bg/6ArhD9Z76Jmv9tC6AyH0RUkYHVCODJZ1hSkrGvooa3qbgq9Y6xsp/tAmF0ePA7NNzGdCN6C1CSTb4BEcdUbQRdCVUnooHh5B9/AB45iOHdUvqq3ZV0Orc2to3f5aOqjs0iDrilWOGz5T2cXhUPCNJrG7Q6iF63s5ehyYZbnZ/u1Aa/trJKOHHHVG0EXQlVE7hOLhF3Q7dToSc40Scj9X1vAeCr7VtKmwzuthE4EaLiVaWd+rrOtteuPbuW14oE0F9DmOHgfmgKziyA9Ba0fK5nenOeqMoIug63ehePsAigdB92hflCjLGtbur2l+4/tTab0UrzU10jUuTH3TK4LvICUAJ0YZu76Xo8eBWaplbd0YtLa1PNI6x1FnBF0EXSkFhOJB0PVlJPFltjXKEgf1H+Wtb95Beet7xUrerJQIOlsJvGL/3jPSoihaWfog8+LocWCW6SB7twWt7a2PrN5x1BlBF0FXSv2geBB0/TGSx+OhH0vqafVv63uzlfBboXzRTdYVrexaJsJu08EVpyrHFYcFeXAFR48DsyxH2r8daG1/jWT0kKPOCLomBd2cnBxas2YNbdq0Sf2nyWybN2+mLl26tOhf8blZs2bRhg0bqLKykjIzM2nChAl00003UUREhAzfS2kDxYOgG4yR6pR9er8qqFWDr3jj+4Wy1ldi7qWEyBB1eUPTUcXHKsse/D24gqPHgTkYVzvrs9DaWXoF2luOOiPomhR0J02aRO+9957Gm60F3ZUrV9Lll19OdXV11L9/f0pPT6fs7GwqKCigwYMH0+LFi20TdlE8CLqBDrzePlde16ju4rB6X7UafL8vlru+t1NbZX3vb8scRABOjfF9cAVHjwOzTFfbuy1obW99ZPWOo84IuiYF3Tlz5lBFRQX17t2bsrKy6LzzzqN9+/ZRS0G3tLRUva+4uJjmz59P48aNU31eVlZGo0ePVt8K33333XTrrbfK8n9Q7aB4EHSDMpCPD+dVNdCnSuAV25it3ltDe5X/l3mdrCxtaAq+/ZUtzdpEaL/YxtHjwCzTZfZuC1rbWx9ZveOoM4KuSUH3aJP27Nmz1aA7d+5cmjFjBg0bNowWLVp0xMdFyB06dCglJyfTtm3bKCzM99soWUXSUjsoHgRdoz3W1L5Y37u97Lf1vcpSh0+VnR3KauWt7xUZVxxW0bS+9zTlEItwZX0vR48Ds1mutv450Np6DczoAUedEXRtGnRHjhxJa9eupXnz5tHEiRM1/u/Vqxft2rWLli9fTgMGDDCjPlp9BooHQdcqE9Yr63s3H6g79MU2ZanDRmV9b628DR2oXUQIieOJe8VUUb8kosEndvR7fa9V3AT7XI51zREz1yDAUWuOmLn6u2n8DymxadAVX1ATyxfWr19PPXr00MxXU6ZMoWXLltHMmTPp2muvDXY+C/rzKB4E3aBNJKmBqvpG2pDXdHBFDW1RQrC8971EqcrBFQOV4DuwfSSdpfy7e3y4a4Mvx7rmiJlrEOCoNUfMXP1t66Ar1uF27txZ7aN4axsfH6+JANOnT6ennnpK3X3hgQcekBQRAm8GxYOgG7h7jP3kgeoG+iz30BfbxBrfneVy1/emx/wWfJXQe5YSfru1c0/w5VjXHDFzDQIcteaImau/bR10c3Nzm9/iFhYWUni49qhTEW5nz55NU6dOJfFFN19XTU0N5efn+7ot4J+L9sUVFRUVcBtO/CBH3E7HvLuKaGMx0YaiENpYRFRSJ/dgidRID/0hkahvkodOV/7dOYaUN75OdDeR07UOhHWOmAVPHHEDcyAV4szPmKV1Wlqa7XKQLZcuIOg6p5DMKh47MeImzMryXtpaLkLvoeC7qYSoulFuKk2LOhR4+yYe+ndHBwVfN2mtt4Y4YkbQ5fOCBv42VmsE3cNG2tZ2XcDSBb1TkvX3cfxrIDdjrlZOqfhcObjiU/XEtmraVFhHIgzLvDq2CVO+3BaprvM9S9nDt4uyp6+/h1fI7E9rbblZ65Zwc8TM9a92OWrNETNXf9t66YLoHL6MZtZUHtxzOA4anDCX1DTSWmX7MrGjw8e7K2hHpdy3vcJ9IviKwDtQCb/i353bapcqBefSwD/NSesmljhi5hoEOGrNETNXf9s+6GJ7scAnZzM/yXHQ4Ii5aaAsVJai/xKarITfWjUAbyuVe2KbeE5n5Q1v09teEX47WRh8OWrNETPXIMBRa46Yufrb9kEXB0aYGVcDfxbHQYMj5pYGyv3KCW3ZSuD9TNnNQYTfn5WDLGRfmXGHB98oOkZ5A2zWxVFrjpi5BgGOWnPEzNXftg+6hx8BvGDBAho7dqzaZxwBbNYUr+85HAcNjpj1DpT7Kn8Lvkr4XauE3x2StzIT/egqgq+61OHQGt/2scYFX45ac8Ss19/6RkXn3MVRa46Yufrb9KC7cuVKmjVrVvMIsGXLFqqtraVTTjmleSsKcQiE+KfpEp+ZPHky1dfXU//+/Sk9PZ2ys7OpoKCABg0aREuWLKGIiAhbjCooHuyjawsjGtiJQDy+p6KespXDKw698ZW/h6+A262dssZXPcDiUPjNkBh8A8FsoASmNM0RM9cgwFFrjpi5+tv0oPvKK6/QjTfe2OpAffvtt9Mdd9xxxD05OTnq6WcbN26kyspKyszMpAkTJtC0adNsE3I5m4jjoMERsyyP71aCb9P6XhF+f62Qe3iF6Kc4qU39YpsSesXRxelBBF+OWnPELMvfpvwmIvEhHLXmiJmrv00PuhJr05ZNoXjwRteWxpTYKSM8vqtcBN9D63tF8N2jLH2QfZ0ggq/ytvdQ8I2k1Bj9Sx2MwCwbn+z2OGLmGgQ4as0RM1d/I+hKnh1QPAi6ki1lu+aM9rjH46FdyhteEXzVpQ7KscV7lS+7yb56JIg3voeWOojgmxLdcvA1GrNsbDLa44iZaxDgqDVHzFz9jaArY0Y4rA0UD4KuZEvZrjmzPS6C707ly2yf/fbFNvHv3KpG6bz0FMH3t/W9YslD0mHB12zM0sEF0CBHzFyDAEetOWLm6m8E3QAmgNY+guJB0JVsKds1Z7XHRfDdUfbbG9/fwu/+g/KD70mJ4f/f3rWAWVVV4TUDMyMwDIwMD3kIIiCovPQTX1GavcUsKqzs9RlfZWpmWURRWZlU9LBUeltmmZmVRg+jBxkaZpkgMoKKQI7yZgaG1wwM0/73vWe4dx7cuffue2efvf79ffc7M/ees89e/1p7n/+svfbayQ0sKmRMyw4ZYNa7jhpF+/bOIB03qKft27E43aqOMncLpiBO0qhrEl3HpqvViDTKrVFmHz0CIL7rTd7e5SbEwYY7mM82x8S3RFplQqXI2cP7yfRB5TKtpkxOrS6Til7ud4hzPCTlXB3tmy81ORtPDC6kfeuxbxJdxx2SnUdP56Gu/dQ1iO8zZqe2RKhDgvxuP+je41tWKnKaIbvTBpXJ9JoE+Z00sEzKAyG/tG8/7dvxI8tWp1HXGmXWqmsSXcejBjsPHw6OTcq76uJm4yC+6wzxxcYVEfnd2eSe+EJR5Yb8nn58gvhOTRLgiSb2t6w0fp7fuOnZVUfRKDdldmU9/tejUdckuo7tUqsRaZRbo8wheASOGOK7tuEo8X3YpDTbVSDiC7wqTDKHySC/JuRhqvH64niKIb+9PSe/tG++tDt+PHpVHe1bj32T6Drueuw8ejoPdR2GrkF8a+uTeXyN1/fhrU1S39TqeGRIr66PCW8A+UW4QxT6MMHk+e3lEfmlfYdh390xZI261ihzCI6K7thzV+eUNDQ0FHZkz6d1MbqWnYcPhxiZa05NDd3GQXzXGOIbbVf8sInx3d1c+OGxb+8SmZIkvzbm14Q+jKvqOfIbup67Mn6NclPmnIbCWF6kUdf06Do2Va1GpFFujTJr9Ai0HGmVZWvrpLZR5H9H+svKnc2yetchaXK/h0WH0ajSkN/JNtY3EfIAD/DJhvyWlhQ+5pf2zZd2x49Hr6qjfeuxbxJdx12PnUdP56Gu9er6kCG/T9UfMqTXfHbg2CxPGvLbXJg1bmmjVP+yErvQbZohviDAOJ5U1cs5+aV967Vvx49FL6ujfeuxbxJdx12QnUdP56GuqevU4aO5BbG+h2SVIb+P72iWx80R/x8qAvmtKi+xhDcR75vI+jC6speU5OH5pX3Tvh0/Hr2qjvatx75JdB13PXYePZ2HuqauMw0fTUny+3jS64sjPMGHCx/yKwNBfg3hnQ7vbzLm98QsyC/tm/adyb7j/DvtW499k+g67qnsPHo6D3VNXecyfBw0LHeNIbvw+iL0AUekOzOcuODl+IrSNq/v1GTow8h+nXt+ad+074IbZA/egPatx75JdB13NHYePZ2HuqauXQ0fBwz5RYxvRH5XgvyaTS5MKHDBS81xCfIbeX0R9jC8b6nU1dXZe48apUfPkFdjv6bMBe9m3txAo65JdB2bn1Yj0ii3RplJBIpH+vaZ4F5Lfu2Ct4T3d53x/BaB+8qQPqVySt8WmVQlMn7oQBMGUSrVxhs80Hyqzd8DK0pkgDn6vulFLsO7xn5NmXOxlHheo1HXJLqObVWrEWmUW6PMJLrFI7qdDU17DflFajMb85skv88Yz28xyG9n7akyGSAGgABHRNjEBR8lw0lynCTGOAe/4YjFc8VIkZbL8K6xX1PmXCwlntdo1DWJrmNb1WpEGuXWKDOJbs8S3c6Gq0ZDfp9IxvpG6c6e3XPY8cjmtjpsADcApLiNIB/1GGMRXUSILWluR6SxsUY+2SQySaKxX1PmTFYRzu8adU2i69h+tRqRRrk1ykyi6x/R7WwI220S+iLN2apkmjN4f59rLMIOF47H086qKyuVNvKbIMrtvcoRaU4n0iDNFWbr5UxFY7+mzJmsIpzfNeqaRNex/Wo1Io1ya5SZRDceRLezYa2hCeQ3yvSQWPi2aW8Y5Le7wzi8wdZjHIVRpHiM8T28xy1762VkH5ELJ46Qvr0Nq1ZQNI5lGmXWOn6T6DoexNh54ksEsjUF6pq6ztZmfDt/18EW6/mN0pxh4dvzyshvVzpBeMV4s93yFJORYsrx5oOjSckGMhxa0TiWaZSZRLehoafWMwQ1ZrDzkPwEZdCdCKPRxjXJvNOQXxDfB9dvly0HS+RweV+pN97gBhMOAa8w/t7d3NpjC+B6un8h73Aa+TUkeEQXuYh7uq3dvb8m+44w0SgziS6JbnfHhGOex85DouvEkDyuRKONU+Z0gzzS2ip7DNlNJb+Jv1ulPoUQt/2Ocy1BPiKNh8LzqWAjjsmR1zd5HGe8wb3gFo5BoX3HQEmOmqhR1wxdcGQ8fEt83kKgKbm81gFDo9yU2d1AecjsggHCa73EhhiDDCf+TniNE95jQ5iTxDjyIuM342yOTUE88GnVCH0obwt9mDSwTI4z3/tWaN++aaRw7dGoaxJdx/ak1Yg0yq1RZq1TXxp17aPM2EGuoxfZkOOkxzgiy5YcJz3MEXkuxhbLmR4nSPpwykBDfo3Xd3KSAMMTjIwQPVl81HWh8dAos9bxm0TXcW9i52HogmOT8q46jTZOmb0zw6wa1GpCLfYaknzUc9y5x7jeeJg31u+XdXtFDrQUz/M6ujI17td4gM3Ct2Fmd7pC5gtOBZD2nZU5xfpkjbom0XVsslqNSKPcGmXW6hHQqGuNMkf2baIr5NCAYXYjjifMTnTRccfBI46fGF1XN/i40rZFb1H871gT91uIHeU06lqjzFrHbxJdx8MWOw89uo5NyrvqNNo4ZfbODAvWoK50Da/w5v1mF7pdzQnimyTB/ytiOrZKE997ug17OJryDHG/5d3YCONYgNG+C2ZO3lWsUdckuo7NUKsRaZRbo8xaPQIada1R5lzsG/HAq+H1tZ7fZlltCPC63YelWDHB2CluoiG7UcozeH9BhPvjh24WjbrWKHMu9t1NE4rFaSUNTC/mRFHsPPToOjEkjyvRaOOU2WODdNw0F7rGormn6lPDHpplza7DJu63eKnVxvZH3G8i3jfa8GJIn16douVCZsdqKHh1GmUm0SXRddKx2HlIdJ0YkseVaLRxyuyxQTpuWqF03WICf5/Zc9iGPFgPsA19aDYL5IpHfrHALUF8y63Xd6r5YCFcXV2dRZHpIR0bk4fVFcq+PRS1Q5Po0XWkJa1GpFFujTJr9Qho1LVGmYtt34j7rdvXkrboDSQY3xWrVJWVyPh+R2R8pQmBGDpAhvXtJSfYT6mcYHZ8yyYEolhtdnEf2rcep1RkLyS6LnqOqYOdR0/noa6pa0fDhpfV0L57zr53mZ0xUrM9IO4X3mBkgyh2wQI4EF54g3EcbkhwGhk2/w81IRH5Logrtly0756z72LrmkTXMeLsPHo6D3VNXTsePryqjvbtl33vO3REautN6EOU9cF4fmtNHHBT8Zy/x7RPpEMDAR5uPMFHiXDSO2wIMjzEg8zGGMXKDZypM9G+/bLvTPpy8Ts9ui5QpEeXMV6O7MjnajQ+ICizzxbptm1x0jW2U366AeQ3kfEBR4Q+7DE7xflYyk0iiKGWDMMrbDzEbWESCS8xSDK+65dFxohc5YyTnnOVsbPrtMoNLEh0HVmSViPSKLdGmdFNNMpNmR0NkDGoJu66RtzvJpPbN8rzuzpJgJEDOC4FccMgvAnP8FFCbMlwMowChLmsNPfd6+Ku51x1qVVuEt1cLaaT67QakUa5NcpMoqtnuo/2HZautx9IiftNZnxYv8eTuIccnsGguIMRN5y6eC5JjqM4YniIq7sIl6B9h2Xf3TEhenS7g1I3zmHn0dN5qGvquhtDQmxPoX2Hb9+NJu53jQl1WL5+m2xpKpG9vfrKFuP53by/xRxbZM8hP0MgsulUFSZ18DCzWC4ixAiZABEuP9ggg8tFTh45VKpMqET/8hKbYaIiz13msmlbT5yrtV/To+vQ2rQakUa5NcpMj2745CcaDmnf1PVeQ4RBeF805BdHEOAXTeqzLcY7vHmfIcTmiO/NacEUhAeD8PY34ROV5lNlAosTfyeO+A3f909+D5Js/09+Z69Jftc7j9CKQgGqtV+T6Dq0KK1GpFFujTKT6JL8OBwuvaxKY7/OR+YjJiZ4l9kG2RLgpDcYhDjyCoMk4+8dBwNiw9203D7GO5zwFKcT5ch7nEacU8jzUaKd8DT3MyneSktyj0dObW4+uu6m2N6extAFR6rRakQa5dYoM4kuia6jodLbajT262LI3Gy2P4YnOOEZTpDfzYYcwyuM45YD5jtz3Gu2T2ZJRwAUt81rnAyzaO9hjsIvEuele6FTvdLbX6wzKd507YIXoUmi66hnFWPAcNRUp9VolFujzCS6JLpOBw4PK9PYr32SeU/z0TCJNkKc4iHGdyDL5MO5dZ7JVa1y14xWValASXRzs5Uur/JpwHAs2jGr0yi3RplJdEl0izmu9MS9NPbruMmMcAmEQrSPF7aeYRtTnAij2GlCKljSETirulVuP5NEl3aRBwJxGzDyEDXtUo1ya5SZRJdE19WY4Ws9Gvt1qDI3IVyizRtsiHGKZ3jDrv1iNpaTJultsksckUazyYaGoIkLalrllmkkur6OP7FoV6gDRibwNcqtUWYSXRLdTGNB3H/X2K8pswg22thv4iEaTUo1pF3ba47YYS76G0f7mwmtsL8l/8ff9jdzLrJU4Jx9HsdVzBrWKgtPJ9GN+zjVo+3XOGCQ/OghP9S1Hl1zLKOue/RhWuCbF9K+W8zWzFhUB1KcSpzxN2KQ28ix+T8ix0fPTSfXTY739LhsZKssmEiiW2DzCrv6QnYen5HTKLdGmUl0SX58HodctE1jv6bMLiynMHUg/KKNDKd4lNs8zO08zRGxjjzM2PQj8kqbquSK0a1y3XgS3cJoS0mtGgcMkh895Ie61qNrjmXUdciPbW32jdCMA4bpPl/3gpiN4Zh1IWTjLrRs2jpPhKdGuTXKTKJL8lPoMbSn69fYrylzT1td8e6vUdcRusyj68jOtBqRRrk1ykyiS6LraKj0thqN/Zoye2uOzhumUdexIbrNzc1y6623yj333CMbN26Ufv36ybnnnivXX3+9TJs2zbkx5FqhViPSKLdGmUl0SXRzHRvjcp3Gfk2Z42Kd+bdTo65jQXRBcmfPni0PPfSQDB48WM4//3zZunWrrFixQsrKyuTuu++Wiy66KH8LcFCDViPSKLdGmUl0SXQdDJNeV6GxX1Nmr03SaeM06joWRPcrX/mK3HTTTXLGGWfIfffdJ1VVVbbd9957r8ydO1cGDRokK1eulP79+zs1iFwq02pEGuXWKDOJLoluLuNinK7R2K8pc5wsNL+2atS190T38OHDMn78eKmvr5dly5bJ9OnT07Q8Z84cWbp0qSxcuFCuvPLK/CzAwdVajUij3BplJtEl0XUwTHpdhcZ+TZm9NkmnjdOoa++JLsIVZs2aJaNHj5ZVq1Z1UPjPf/5zS3BnzpwpS5YscWoQuVSm1Yg0yq1RZhJdEt1cxsU4XaOxX1PmOFlofm3VqGvvie63v/1tmT9/vlx66aVyxx13dNBwbW2tnHfeeVJdXS0bNmzIzwIcXK3ViDTKrVFmEl0SXQfDpNdVaOzXlNlrk3TaOI269p7ofvKTn5TFixdbry3CE9qXhoYGGTNmjP26rq5OKisrnRpFtpVpNSKNcmuUmUSXRDfbMTFu52vs15Q5blaae3s16tp7onvttddaTy7SiC1YsKCDdhHDW1NTY79fu3atDBs27JgW0NTUJNu2bcvdSjJcifpRKioqCnYPHyvWKLdGmWF7GuWmzD6OOoVpE3VdGFx9q1Wjnos5fg8ZMsQ7HuTthhEkur4ND523R+OgoVHmYg6UPlm+Rl1rlJn2rcdBQ/surK5JdLN4gjF0IQuwevBUjdMhGmWGiWmUmzL34OBS5FtT10UGvIdup1HPWsfvyMS89ehyMVoPjQJZ3lbjoKFRZq0DpUZda5SZ9s0Y9CwffbE7XWu/hqK8JbpxSy/G6ZDCTof4NKpQ19S1T/boui20b9q3a5vyqT7atx779t6jG7cNI3zqyGwLESACRIAIEAEiQASIgMceXSgnTlsA05iIABEgAkSACBABIkAE/ELA29AFwNTc3CyzZ88WhDEMHjxYzj//fNm6dausWLFCysrKBLujveIVr/ALUbaGCBABIkAEiAARIAJEwAsEvCa6Edm95ZZb5J577pGNGzdKv3795JxzzpGPf/zjMm3aNC9AZCOIABEgAkSACBABIkAE/EPAe6LrH2RsEREgAkSACBABIkAEiEAcECDRjYOW2EYiQASIABEgAkSACBCBrBEg0c0aMl5ABIgAESACRIAIEAEiEAcESHTz0NLKlSvlwQcflP/+97/2EyVkXrVqlYwePTqPmv29dP/+/bJs2TJ54IEH5JFHHrEyl5SUWHlf85rXyDXXXCODBg3yV4AcW4YNTP75z39KbW2tbN++XQ4cOCA1NTUyY8YMufLKK23ceOgF+SdnzpwpTz/9tBV1x44d0rt37+DEvvjii+Xhhx/uUq7Pfvazct111wUnNwTavXu33HrrrfL73/9eNm3aZPv2CSecYO17/vz5Mnz48GDkXr58uVxyySUZ5YHNL1myJON5cTrhmWeekZtvvln+8Y9/yJYtW+zi7rFjx8rrX/96ueqqq+xamNDKs88+K4sWLbIy79y5047fL3/5y+UTn/iEjBw5Mpbi5spBcB2wwDN83759MmbMGLnsssvk6quvtrYQWiHRzUOjb3/72+UPf/hDhxpCJro/+clP5EMf+pCV+eSTT5bTTjtNQID+/e9/y65du+xD8Xe/+539LaQyYcIEaVgfb+wAAA1rSURBVGhosPJCRgwGeFiA+IIMYNCYO3duSCJ3kOULX/iCfP3rX5fW1lYVRBcP/c4e+G94wxvk1a9+dXC6Xrt2rbzxjW+UzZs3W9IzefJkm/lmw4YNgt/++Mc/yrnnnhuM3Hhh+8Y3vtGlPCD7e/bssUQIn1AKXtjf9KY32Zf1cePG2TENZOdf//qXNDY2yqmnnmp1PWDAgFBEtpmb3vrWt8revXutzJMmTZL169fb8XvgwIH2OQ6541Zy4SB/+tOf5B3veIccOnTI9uehQ4faF3s4cF72spfJvffeGxzZJdHNw7LxRoyOM336dJsB4pWvfKW8+OKLEjLRveuuu+xb4Ac+8IG0gQGeoCuuuEL++te/ytlnny3oTCEVyDx16lTp06dPmljw9LznPe+RXr16yRNPPCHDhg0LSew2WVavXi0XXnihvPOd75Qf/ehHKohuyP24vZHiJe68886zni54dN/ylreknQKy279/f+sF01Dq6upkypQp9qXu8ccftx6vUArIzVNPPWXJ+7x58+yLOgocFXi5e/LJJ+338OCHUDALiWc0UpN+9KMflQULFrTJDFvH/yC5IMOlpaWxEjlbDoLnNLhKfX29/OAHP5A3v/nNVl680OEFHjPTn/nMZ+QjH/lIrHDI1FgS3UwIZfE7OkvoRPdYcMAThDdlFJC+E088MQv04nvqpZdeakNYQADhEQuttLS0yEUXXWSnOOH1icJyQg9d0ER0QWoQnnPTTTfJBz/4wdBMOGt5vva1rwlmMED+O5u1y7pCTy4AmYW3vqKiQl544YUOoUd33323dWLAafPLX/7Sk1bn1wykJn3f+95nPbkYv+CUSC2vetWr5NFHH7V5+V/72tfmd7MevjoTB4mIPWakfvGLX6S1FiQXoRwIPcRsR3uceli0vG5PopsXfOkXZzIyh7fytioMJiBAS5cutfGrGgqmAeHJ/ulPfyqzZs0KTuRvfvObgrjUH//4x/atH1N9KCS6Yaj64MGDgtAcbLuOOMa+ffuGIVgeUpx11lk2NAk53DGLEUpBaMKoUaPkuOOOE3it28fYR0QX8Zrf/e53gxA7eol717veJd/61rc6yHTjjTfKV7/6Vatn6DvOJRMHwfMJnmu81L7tbW/rICpmLRGbj7AdbNAVSiHRdajJTEbm8FZeVoXpT8TmwgOIYPeQpvu6AhwL8/BQwIMDU5yhLcRDHNtLXvISeelLX9rmAdBCdD/2sY/ZKT4UzE7A8zNx4kQv+14+jUJYDhaSYkobsZmYncCLG0gR5MbDcfz48fncIlbX/uc//7E7boLwr1u3zoZshFTgzYNnEwQQGy91FrqAdRbo9yGUa6+9Vu644w7B8XOf+1wHkW677Tb51Kc+ZUPTYPtxLpk4CGbjEL6A3WWj2ddUefEy8Nvf/la+/OUvy/vf//44Q5HWdhJdh6rMZGQOb+VlVQsXLrQdBDhgwUOIZfHixYJ4VSzAAwnE9DYehN///vctWQipID4RJAcyggxFK5O1EN32ugQhwIIWLMhrH6sdZ73DU//hD3/YZiBAjOL999+fJg6+Q2wjyICGcv3119v4xTlz5sj3vve94ETGwkLEZsKjGy1GQxwr+jjGMng4Z8+eHYzcCEFBKArCyqL1BanCgexDz8cff7w899xzsZb7WBwEcbhROCG8tp0tNkTc9ne+8x2bfQF2EEoh0XWoSc1EF/E9iG8CAfz1r39tY31CLPDepi60q66utml6EKcbWsFDAWm02sdthk50v/jFL9qZCSyqxOJCxJ4jFAc44GGBUJUf/vCHwagbmQfg6YrSCn3605+2RAjT2r/5zW/s4hT0a0z7wuMTckGWiVNOOcV68u+77z654IILghQXJPfd7363PPbYY2nygQyC+HXm7YsrEH/7298scUcGFcw0Dh48uE2UaDE5Mg6Ul5fLtm3b4iqmbfexOEjqGpquws6iMA4ssMZzLZRCoutQk1qJLhY1RBknkHrs85//vENU/awK07qY1oR3D4tVkK4Fgf6hFCyqRO5UEL6//OUvaQsTQie6XelwzZo1lvggLQ8enmeccUYQ6o4WXkGYzlJpRQtY4NHHivyQC7zZIIAjRoywMzdxW4XfHd0gjyxeWJAmEbNwsGO8wOGlBi95IHwg+aHYN2am4HhBaBlS5sHe8axGPDrCN5AaE/HpCD/Dgts4FxLdzrVHouvQqjUSXazihScXpA/Tughyj2K+HELrbVUYROEtQKzu7bffHsyUH3T55z//2RI6xK6lFq1EFxhEMWwh5VbFVGWUJxZpp0CAUgu8XlHYSuix91iggzhlpFeCJzu0Ak81CCw814jTbb9RArz2kBsvudgUKJQCDzZm4/Cymlqqqqos2cUHszcI64hzYegCiW7B7Vcb0YUXAHkX8fDDblLYTCKklCTdNRikpcHuaJjuRWxfCAVkFvF6yCXavkS7hiH1El5qkIcypI0EjqU/zFbAix/S1B5mJJB4HimnkGu0sxJlU0HYDkI6QiyYzsWUPTz28PKFuAAvyqqAjQHax2JDpyCEp59+uvVkY1YHXs5QChZJw9aj3cAwW4V80SC3yCaDPOHwase5ZOIgXIwWZ+160vZMRuZJM500A4sXEKuI1ZsYIDCA4kGpscDziQET09qY8guhRF7b7sgSalq1zmSHpw+ee+SaRcxuCCUiNxHRqaysTBMLBAHeLhBApCYCEQqxRJ5tpBZDnw6x4CUNL2tYeHjnnXd2EDF1wRJm6bBrVujlS1/6kuATwkYJmTgI04uFbs1FkC+TkRWhCUW5Baa9MMWHFETw5P3qV79SnXvzhhtusIH72BkOD5LQi9bQBSzIwrQvYtKRZaP97mFx1js8fMiu0VnS/OXLl1tihHRbGzdutDGcIZYIA/Rh9OUQy89+9jO56qqr7KYvWEDcfgbu73//u/Vu4mUHum6fZzc0TLD1MfK9Y0dAzEzGfWfLTByEG0aEZsE9IE8mI+uBJjm/Jbw7eAhg2gvbKuKIOKeQC6a6sPgMu4OlLk45cuSIzS2L1Ewg/1i0deaZZ4YMhZUtZKKLuEVM37/uda9Le8hjNTYWWiJuEQuVkGs1pBRj0SIsTNdjr/to9zus1EZIDmIbkVcT6QNDLIhNxks7ZqXgycxmRiNOeMC2EXOPTUJgz9gIJiK78Ozj5Q1YhLRhBPRTW1srJ510UlqfBbmFTWPcBg7IMBP3komDpG4BjMwxmJVF4RbAcdd8AduPeLVFixa13QHb3oLwYGVnNI2PxSshpeTBYrNoD3TkjUV6rc4KZA4lbjPygmAzCDwkcMQiPDwQ8XDAgwKrlbF1poYSMtGNdF1TU2P3hId9w4OLvo1FWfgeW6PiJS+0gly5ePjBmwcvF+waxB8PQUzngwyHumsapq2xEAveTOQVDrlAPpA6LKRFXlXE4cO2EZcMDye2CMYL3ZAhQ4KBAWsosAkGZMViS4zfcGAgBO+9732v3Rktjouoc+EguObyyy+3mSbwjEZ4CtZdIMUaNgbCDG2UajAUA2DWhTw0GT0Uj1XFvHnz2ohhHrfy5tJoU4hMDcJuM+hMIRRM4SGeDZtg4G94AjClhxXLGCjmzp1rX260lJCJLl5eEJaA/KIguFiljpdWeIOwoxQ8QKl5OEPTOUg8FlTCA4aYXCzYgUcXRCGkhUmpesMsFeKO4b3GDA30HHrBCwycFo8++qglOCA2sHEsKsZmAaHN0oHkguAjPR7Gb8iH2TeM3djxMK4lVw6CMA3MzsAO8HKDXUzhxb/mmmuCI7nQLYluXC2c7SYCRIAIEAEiQASIABE4JgIkujQQIkAEiAARIAJEgAgQgSARINENUq0UiggQASJABIgAESACRIBElzZABIgAESACRIAIEAEiECQCJLpBqpVCEQEiQASIABEgAkSACJDo0gaIABEgAkSACBABIkAEgkSARDdItVIoIkAEiAARIAJEgAgQARJd2gARIAJEgAgQASJABIhAkAiQ6AapVgpFBIgAESACRIAIEAEiQKJLGyACRIAIEAEiQASIABEIEgES3SDVSqGIgC4ENm3aJFOnTrVCr1q1SkaPHq0LgHbSrlmzRhYtWiQrVqyQHTt2SLTN7UMPPVQwXKiDgkHLiokAEcgDARLdPMDjpUTAZwQWLlxo9zNH6d27tzzyyCMybty4Lps8YcIE2bZtm8ybN0/mz5/vs2gd2kaSdRSSjRs3ysyZM6WxsdF+WV1dbfevnzRpktx///0F06uPOli8eLHs3r1bLr74YpkyZUrBZGfFRIAI+IsAia6/umHLiEBeCKQSXVR0ySWXyJ133kmimxeq/l98ww03yM033yxjx46VJUuWyIgRI4rSaB+J7uTJk+X555+X2267TS6//PKi4MCbEAEi4BcCJLp+6YOtIQLOEGhPdFHx0qVLZcaMGZ3egx5dZ9D3aEVz5syxer766qvlxhtvLFpbSHSLBjVvRASIQBYIkOhmARZPJQJxQiAiukOGDJFRo0bJY489Juecc4488MADJLpxUmSWbZ01a5YgFrfYISgkulkqiqcTASJQFARKinIX3oQIEAEiQASIABEgAkSACBQZgf8DLJDdKWkor1YAAAAASUVORK5CYII=\" width=\"639.8333333333334\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#%matplotlib notebook\n",
    "%matplotlib qt\n",
    "plt.style.use(\"fivethirtyeight\")\n",
    "plt.plot(range(1,11), List)\n",
    "plt.xticks(range(1,11))\n",
    "plt.xlabel(\"Number of cluster\")\n",
    "plt.ylabel(\"Inertia\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 139,
   "id": "8775539c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Requirement already satisfied: kneed in c:\\users\\parisan\\appdata\\local\\programs\\python\\python38\\lib\\site-packages (0.7.0)\n",
      "Requirement already satisfied: matplotlib in c:\\users\\parisan\\appdata\\local\\programs\\python\\python38\\lib\\site-packages (from kneed) (3.5.2)\n",
      "Requirement already satisfied: numpy>=1.14.2 in c:\\users\\parisan\\appdata\\local\\programs\\python\\python38\\lib\\site-packages (from kneed) (1.22.4)\n",
      "Requirement already satisfied: scipy in c:\\users\\parisan\\appdata\\local\\programs\\python\\python38\\lib\\site-packages (from kneed) (1.8.1)\n",
      "Requirement already satisfied: pillow>=6.2.0 in c:\\users\\parisan\\appdata\\local\\programs\\python\\python38\\lib\\site-packages (from matplotlib->kneed) (9.1.1)\n",
      "Requirement already satisfied: pyparsing>=2.2.1 in c:\\users\\parisan\\appdata\\local\\programs\\python\\python38\\lib\\site-packages (from matplotlib->kneed) (3.0.9)\n",
      "Requirement already satisfied: packaging>=20.0 in c:\\users\\parisan\\appdata\\local\\programs\\python\\python38\\lib\\site-packages (from matplotlib->kneed) (21.3)\n",
      "Requirement already satisfied: fonttools>=4.22.0 in c:\\users\\parisan\\appdata\\local\\programs\\python\\python38\\lib\\site-packages (from matplotlib->kneed) (4.33.3)\n",
      "Requirement already satisfied: cycler>=0.10 in c:\\users\\parisan\\appdata\\local\\programs\\python\\python38\\lib\\site-packages (from matplotlib->kneed) (0.11.0)\n",
      "Requirement already satisfied: kiwisolver>=1.0.1 in c:\\users\\parisan\\appdata\\local\\programs\\python\\python38\\lib\\site-packages (from matplotlib->kneed) (1.4.3)\n",
      "Requirement already satisfied: python-dateutil>=2.7 in c:\\users\\parisan\\appdata\\local\\programs\\python\\python38\\lib\\site-packages (from matplotlib->kneed) (2.8.2)\n",
      "Requirement already satisfied: six>=1.5 in c:\\users\\parisan\\appdata\\local\\programs\\python\\python38\\lib\\site-packages (from python-dateutil>=2.7->matplotlib->kneed) (1.16.0)\n"
     ]
    }
   ],
   "source": [
    "!pip install kneed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "id": "00b8667f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3"
      ]
     },
     "execution_count": 122,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from kneed import KneeLocator\n",
    "k1 = KneeLocator(range(1,11), List, curve = \"convex\", direction = \"decreasing\")\n",
    "k1.elbow"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 226,
   "id": "535004e3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Warning: Cannot change to a different GUI toolkit: qt. Using notebook instead.\n"
     ]
    },
    {
     "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_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\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",
       "    fig.rubberband_canvas.style.cursor = msg['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 https://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",
       " * https://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\", \"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",
       "    // 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=\"data:image/png;base64,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\" width=\"639.8333333333334\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib qt\n",
    "plt.style.use(\"fivethirtyeight\")\n",
    "plt.plot(range(1,11), List)\n",
    "plt.xticks(range(1,11))\n",
    "plt.xlabel(\"Number of cluster\")\n",
    "plt.ylabel(\"List\")\n",
    "plt.axvline(x = k1.elbow, color = \"b\", label = \"axvline - full height\", ls = '--')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 142,
   "id": "3ceb6689",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[43.2 16.7]\n",
      " [29.6 66.8]\n",
      " [55.1 46.1]]\n"
     ]
    },
    {
     "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_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\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",
       "    fig.rubberband_canvas.style.cursor = msg['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 https://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",
       " * https://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\", \"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",
       "    // 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=\"data:image/png;base64,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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "\n",
    "kmeans = KMeans(n_clusters = 3).fit(df)\n",
    "centroids = kmeans.cluster_centers_\n",
    "print(centroids)\n",
    "\n",
    "%matplotlib notebook\n",
    "plt.scatter(df[\"x\"], df[\"y\"], c = kmeans.labels_.astype(float), s = 50, alpha = 0.5)\n",
    "plt.scatter(centroids[:,0], centroids[:,1], c = \"red\", s = 50)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "id": "a2f8c426",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[29.6, 66.8],\n",
       "       [43.2, 16.7],\n",
       "       [55.1, 46.1]])"
      ]
     },
     "execution_count": 125,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kmeans.cluster_centers_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 126,
   "id": "b85e0eb4",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.metrics import silhouette_score\n",
    "silhouette_coefficients = []\n",
    "\n",
    "for k in range(2,11):\n",
    "    kmeans = KMeans(n_clusters = k, **kmeans_set)  #  ** open dictionary\n",
    "    kmeans.fit(scaled_features)\n",
    "    score = silhouette_score (scaled_features, kmeans.labels_)\n",
    "    silhouette_coefficients.append(score)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 227,
   "id": "c8dcbaf1",
   "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_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\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",
       "    fig.rubberband_canvas.style.cursor = msg['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 https://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",
       " * https://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\", \"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",
       "    // 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=\"data:image/png;base64,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\" width=\"639.8333333333334\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib notebook\n",
    "plt.style.use(\"fivethirtyeight\")\n",
    "plt.plot(range(2,11), silhouette_coefficients)\n",
    "plt.xticks(range(2,11))\n",
    "plt.xlabel(\"Number of cluster\")\n",
    "plt.ylabel(\"silhouette_coefficients\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 145,
   "id": "aebedbe8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[30.83333333 74.66666667]\n",
      " [43.2        16.7       ]\n",
      " [55.1        46.1       ]\n",
      " [27.75       55.        ]]\n"
     ]
    },
    {
     "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_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\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",
       "    fig.rubberband_canvas.style.cursor = msg['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 https://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",
       " * https://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\", \"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",
       "    // 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=\"data:image/png;base64,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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "kmeans = KMeans(n_clusters = 4).fit(df)\n",
    "centroids = kmeans.cluster_centers_\n",
    "print(centroids)\n",
    "\n",
    "%matplotlib notebook\n",
    "plt.scatter(df[\"x\"], df[\"y\"], c = kmeans.labels_.astype(float), s = 50, alpha = 0.5)\n",
    "plt.scatter(centroids[:,0], centroids[:,1], c = \"red\", s = 50)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 150,
   "id": "8c8cdc2b",
   "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_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\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",
       "    fig.rubberband_canvas.style.cursor = msg['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 https://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",
       " * https://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\", \"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",
       "    // 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=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAeAAAAFoCAYAAACPNyggAAAOhUlEQVR4Xu3VwQkAAAjEMN1/abewn7jAQRC64wgQIECAAIF3gX1fNEiAAAECBAiMAHsCAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQIHLFxAWmhEwHPAAAAAElFTkSuQmCC\" width=\"400\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import tkinter as tk\n",
    "from tkinter import filedialog\n",
    "import pandas as pd\n",
    "from pandas import DataFrame\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.backends.backend_tkagg import FigureCanvasTkAgg\n",
    "\n",
    "kmeans = KMeans(n_clusters = 3).fit(df)\n",
    "centroids = kmeans.cluster_centers_\n",
    "\n",
    "root = tk.Tk()\n",
    "\n",
    "canvas1 = tk.Canvas(root, width = 100, height = 100)\n",
    "canvas1.pack()\n",
    "\n",
    "label1 = tk.Label(root, text = centroids, justify = \"center\")\n",
    "canvas1.create_window(70, 50, window = label1)\n",
    "\n",
    "figure1 = plt.figure(figsize = (4,3), dpi = 100)\n",
    "ax1 = figure1.add_subplot(111)\n",
    "ax1.scatter(df[\"x\"], df[\"y\"], c = kmeans.labels_.astype(float), s = 50, alpha = 0.5)\n",
    "ax1.scatter(centroids[:,0], centroids[:,1], c = \"red\", s = 50)\n",
    "scatter1 = FigureCanvasTkAgg(figure1, root)\n",
    "scatter1.get_tk_widget().pack(side = tk.RIGHT, fill = tk.BOTH)\n",
    "\n",
    "root.mainloop()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8ea395fd",
   "metadata": {},
   "source": [
    "import tkinter as tk\n",
    "from tkinter import filedialog\n",
    "import pandas as pd\n",
    "from pandas import DataFrame\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.backends.backend_tkagg import FigureCanvasTkAgg\n",
    "\n",
    "kmeans = KMeans(n_clusters = 3).fit(df)\n",
    "centroids = kmeans.cluster_centers_\n",
    "\n",
    "root = tk.Tk()\n",
    "\n",
    "canvas1 = tk.Canvas(root, width = 100, height = 100)\n",
    "canvas1.pack()\n",
    "\n",
    "label1 = tk.Label(root, text = centroids, justify = \"center\")\n",
    "canvas1.create_window(70, 50, window = label1)\n",
    "\n",
    "figure1 = plt.figure(figsize = (4,3), dpi = 100)\n",
    "ax1 = figure1.add_subplot(111)\n",
    "ax1.scatter(df[\"x\"], df[\"y\"], c = kmeans.labels_.astype(float), s = 50, alpha = 0.5)\n",
    "ax1.scatter(centroids[:,0], centroids[:,1], c = \"red\", s = 50)\n",
    "scatter1 = FigureCanvasTkAgg(figure1, root)\n",
    "scatter1.get_tk_widget().pack(side = tk.RIGHT, fill = tk.BOTH)\n",
    "\n",
    "root.mainloop()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 146,
   "id": "e517b27a",
   "metadata": {},
   "outputs": [],
   "source": [
    "import tkinter as tk\n",
    "from matplotlib.backends.backend_tkagg import FigureCanvasTkAgg"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 154,
   "id": "ecb84fae",
   "metadata": {},
   "outputs": [],
   "source": [
    "import tkinter as tk\n",
    "from tkinter import filedialog\n",
    "import pandas as pd\n",
    "from pandas import DataFrame\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.backends.backend_tkagg import FigureCanvasTkAgg\n",
    "\n",
    "kmeans = KMeans(n_clusters = 3).fit(df)\n",
    "centroids = kmeans.cluster_centers_\n",
    "\n",
    "root = tk.Tk()\n",
    "\n",
    "canvas1 = tk.Canvas(root, width = 400, height = 300, relief = \"raised\")\n",
    "canvas1.pack()\n",
    "\n",
    "label1 = tk.Label(root, text = \"kmeans clustering\")\n",
    "label1.config(font = (\"helvetica\", 14))\n",
    "canvas1.create_window(200, 25, window = label1)\n",
    "\n",
    "label2 = tk.Label(root, text = \"Type Number of Clusters\")\n",
    "label2.config(font = (\"helvetica\", 8))\n",
    "canvas1.create_window(200, 120, window = label2)\n",
    "\n",
    "entry1 = tk.Entry(root)\n",
    "canvas1.create_window(200, 140, window = entry1) \n",
    "\n",
    "\n",
    "def getKMeans():\n",
    "    global df\n",
    "    global numberofclusters\n",
    "    numberofclusters = int(entry1.get())\n",
    "    kmeans = KMeans(n_clusters = numberofclusters).fit(df)\n",
    "    centroids = kmeans.cluster_centers_\n",
    "    \n",
    "    label3 = tk.Label(root, text = centroids)\n",
    "    canvas1.create_window(200, 250, window = label3) \n",
    "    \n",
    "    figure1 = plt.figure(figsize = (4,3), dpi = 100)\n",
    "    ax1 = figure1.add_subplot(111)\n",
    "    ax1.scatter(df[\"x\"], df[\"y\"], c = kmeans.labels_.astype(float), s = 50, alpha = 0.5)\n",
    "    ax1.scatter(centroids[:,0], centroids[:,1], c = \"red\", s = 50)\n",
    "    scatter1 = FigureCanvasTkAgg(figure1, root)\n",
    "    scatter1.get_tk_widget().pack(side = tk.RIGHT, fill = tk.BOTH)\n",
    "\n",
    "processButton = tk.Button(text = \"Process K-means\", command = getKMeans, bg = \"brown\", fg = \"white\", font = (\"helvetica\", 10, \"bold\"))\n",
    "canvas1.create_window(200, 170, window = processButton)     \n",
    "\n",
    "root.mainloop()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c6662f57",
   "metadata": {},
   "source": [
    "# import tkinter as tk\n",
    "from tkinter import filedialog\n",
    "import pandas as pd\n",
    "from pandas import DataFrame\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.backends.backend_tkagg import FigureCanvasTkAgg\n",
    "\n",
    "kmeans = KMeans(n_clusters = 3).fit(df)\n",
    "centroids = kmeans.cluster_centers_\n",
    "\n",
    "root = tk.Tk()\n",
    "\n",
    "canvas1 = tk.Canvas(root, width = 400, height = 300, relief = \"raised\")\n",
    "canvas1.pack()\n",
    "\n",
    "label1 = tk.Label(root, text = \"kmeans clustering\")\n",
    "label1.config(font = (\"helvetica\", 14))\n",
    "canvas1.create_window(200, 25, window = label1)\n",
    "\n",
    "label2 = tk.Label(root, text = \"Type Number of Clusters\")\n",
    "label2.config(font = (\"helvetica\", 8))\n",
    "canvas1.create_window(200, 120, window = label2)\n",
    "\n",
    "entry1 = tk.Entry(root)\n",
    "canvas1.create_window(200, 140, window = entry1) \n",
    "\n",
    "\n",
    "def getKMeans():\n",
    "    global df\n",
    "    global numberofclusters\n",
    "    numberofclusters = int(entry1.get())\n",
    "    kmeans = KMeans(n_clusters = numberofclusters).fit(df)\n",
    "    centroids = kmeans.cluster_centers_\n",
    "    \n",
    "    label3 = tk.Label(root, text = centroids)\n",
    "    canvas1.create_window(200, 250, window = label3) \n",
    "    \n",
    "    figure1 = plt.figure(figsize = (4,3), dpi = 100)\n",
    "    ax1 = figure1.add_subplot(111)\n",
    "    ax1.scatter(df[\"x\"], df[\"y\"], c = kmeans.labels_.astype(float), s = 50, alpha = 0.5)\n",
    "    ax1.scatter(centroids[:,0], centroids[:,1], c = \"red\", s = 50)\n",
    "    scatter1 = FigureCanvasTkAgg(figure1, root)\n",
    "    scatter1.get_tk_widget().pack(side = tk.RIGHT, fill = tk.BOTH)\n",
    "\n",
    "processButton = tk.Button(text = \"Process K-means\", command = getKMeans, bg = \"brown\", fg = \"white\", font = (\"helvetica\", 10, \"bold\"))\n",
    "canvas1.create_window(200, 170, window = processButton)     \n",
    "\n",
    "root.mainloop()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e4414402",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.8.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}