visualization.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "import importlib\n",
    "import itertools\n",
    "import numpy as np\n",
    "\n",
    "import visualizers\n",
    "from geometric_types import Point\n",
    "import kd_tree as kd_tree_module\n",
    "from quadtree import Quadtree\n",
    "importlib.reload(visualizers)\n",
    "importlib.reload(kd_tree_module)\n",
    "\n",
    "def conv_to_np_float64_points(points: list[list]) -> list[Point]:\n",
    "    new_points = []\n",
    "    for p in points:\n",
    "        new_points.append(list(map(np.float64, p)))\n",
    "\n",
    "    return new_points\n",
    "\n",
    "A, B = (0, 0), (100, 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img src=\"data:image/png;base64,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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(0.0, 100.0)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "%matplotlib notebook\n",
    "\n",
    "input_plot = visualizers.Plot()\n",
    "input_plot.draw()\n",
    "ax = visualizers.plt.gca()\n",
    "ax.set_xlim((A[0], B[0]))\n",
    "ax.set_ylim((A[1], B[1]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "## Reset input points"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "inp_points = []"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "## Get input points from plot above"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "inp_points = [*inp_points, *itertools.chain(*map(lambda coll: coll.points, input_plot.get_added_points()))]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "## KD-Tree"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "### Build KD-Tree\n",
    "<font color=\"blue\">blue lines</font> - dividing lines <br>\n",
    "<font color=\"black\">black points</font> - input points"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img src=\"data:image/png;base64,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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "kd_tree = kd_tree_module.KDTree(2, conv_to_np_float64_points(inp_points), True)\n",
    "\n",
    "if kd_tree.visualizer is not None:\n",
    "    tree_build_plot = kd_tree.visualizer.get_tree_building_plot()\n",
    "    tree_build_plot.draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "### Query KD-Tree\n",
    "<font color=\"black\">black points</font> - points contained in the kd-tree <br>\n",
    "<font color=\"orange\">orange points</font> - found points <br>\n",
    "<font color=\"green\">green rectangle</font> - area of the current kd-tree node <br>\n",
    "<font color=\"red\">red rectangle</font> - searched area <br>\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[21.969506048387093, 21.03439031862744], [26.606602822580644, 15.519684436274499], [32.85660282258064, 18.583409926470576], [37.09047379032258, 15.213311887254893], [21.16305443548387, 25.93635110294117], [21.969506048387093, 26.242723651960777], [43.542086693548384, 23.485370710784306], [49.792086693548384, 26.85546874999999]]\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_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img src=\"data:image/png;base64,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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "print(kd_tree.find_points_in_area(([np.float64(20), np.float64(15)], [np.float64(50), np.float64(30)])))\n",
    "if kd_tree.visualizer is not None:\n",
    "    res_plot = kd_tree.visualizer.get_searching_plot()\n",
    "    res_plot.draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Quadtree"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "### Build Quadtree"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAoAAAAHgCAYAAAA10dzkAAAAAXNSR0IArs4c6QAAIABJREFUeF7tnQm4FsWV9w+QKMoqKDsqQYjCnQhIQhQ1LlGZGR10TFyiicsMEPQzQKKgxihkWERnXCYPKqgDjLhNFnXUCMY4bOKGiIky4kIkyBIX4ApGYFS+57T29b33vu/t6j51uqvq/ffz+EyGW6e66ndO1fl3VXW/zXbv3r2bcIEACIAACIAACIAACFQNgWYQgFXja3QUBEAABEAABEAABCICEIAIBBAAARAAARAAARCoMgIQgFXmcHQXBEAABEAABEAABCAAEQMgAAIgAAIgAAIgUGUEIACrzOHoLgiAAAiAAAiAAAhAACIGQAAEQAAEQAAEQKDKCEAAVpnD0V0QAAEQAAEQAAEQgABEDIAACIAACIAACIBAlRGAAKwyh6O7IAACIAACIAACIAABiBgAARAAARAAARAAgSojAAFYZQ5Hd0EABEAABEAABEAAAhAxAAIgAAIgAAIgAAJVRgACsMocju6CAAiAAAiAAAiAAAQgYgAEQAAEQAAEQAAEqowABGCVORzdBQEQAAEQAAEQAAEIQMQACIAACIAACIAACFQZAQjAKnM4ugsCIAACIAACIAACEICIARAAARAAARAAARCoMgIQgFXmcHQXBEAABEAABEAABCAAEQMgAAIgAAIgAAIgUGUEIACrzOHoLgiAAAiAAAiAAAhAACIGQAAEQAAEQAAEQKDKCEAAVpnD0V0QAAEQAAEQAAEQgABEDIAACIAACIAACIBAlRGAAKwyh6O7IAACIAACIAACIAABiBgAARAAARAAARAAgSojAAFYZQ5Hd0EABEAABEAABEAAAhAxAAIgAAIgAAIgAAJVRgACsMocju6CAAiAAAiAAAiAAAQgYgAEQAAEQAAEQAAEqowABGCVORzdBQEQAAEQAAEQAAEIQMQACIAACIAACIAACFQZAQjAKnM4ugsCIAACIAACIAACEICIARAAARAAARAAARCoMgIQgFXmcHQXBEAABEAABEAABCAAEQMgAAIgAAIgAAIgUGUEIACrzOHoLgiAAAiAAAiAAAhAACIGQAAEQAAEQAAEQKDKCEAAVpnD0V0QAAEQAAEQAAEQgABEDIAACIAACIAACIBAlRGAAKwyh6O7IAACIAACIAACIAABiBgAARAAARAAARAAgSojAAFYZQ5Hd0EABEAABEAABEAAAhAxAAIgAAIgAAIgAAJVRgACsMocju6CAAiAAAiAAAiAAAQgYgAEQAAEQAAEQAAEqowABGCVORzdBQEQAAEQAAEQAAEIQMQACIAACIAACIAACFQZAQjAKnM4ugsCIAACIAACIAACEICIARAAARAAARAAARCoMgIQgFXmcHQXBEAABEAABEAABCAAEQMgAAIgAAIgAAIgUGUEIACrzOHoLgiAAAiAAAiAAAhAACIGQAAEQAAEQAAEQKDKCEAAVpnD0V0QAAEQAAEQAAEQgABEDIAACIAACIAACIBAlRGAABQ4/NNPP6UNGzZQmzZtqFmzZoKaYAoCIAACIAACIJAXgd27d9O2bduoW7du1Lx587xu69R9IAAF7nj77bepZ8+eghpgCgIgAAIgAAIgUBSBdevWUY8ePYq6faH3hQAU4K+traX27dsTB1Dbtm0FNcEUBEAABEAABEAgLwIffPBBtICzdetWateuXV63deo+EIACd3AAceCwEIQAFICEKQiAAAiAAAjkSAD5mwgCUBBwCCABPJiCAAiAAAiAQEEEkL8hAEWhhwAS4YMxCIAACIAACBRCAPkbAlAUeAggET4YgwAIgAAIgEAhBJC/IQBFgYcAEuGDMQiAAAiAAAgUQgD5GwJQFHgIIBE+GIMACIAACIBAIQSQvyEARYGHABLhgzEIgAAIgAAIFEIA+RsCUBR4CCARPhiDAAiAAAiAQCEEkL89FYCLFy+m66+/nl544QXauHEjPfDAA3TqqafWBRH/xMukSZNo1qxZtGXLFhoyZAjNmDGD+vfvX1dm586ddOmll9K9995LH330ER1//PF0yy23pPoiOAKokHGLm4IACIAACICAiADyt6cC8LHHHqOnnnqKBg0aRKeffnojATh9+nSaMmUKzZkzh/r27UuTJ08mFo2rV6+OfreXr9GjR9PDDz8clenYsSP95Cc/oc2bN0eiskWLFkaBhQAywoRCIAACIAACIOAUAeRvTwVgaRQ1a9asngDk1T/+ceexY8fShAkToqK82te5c2diYThq1Kjolzv2228/uuuuu+jMM8+MymzYsCH6WZjf/va3dNJJJxkFqnYArdv8oVE7UAgEQAAEQAAEQiTQs0MrlW5p52+VRluu1PtfAmkoANesWUO9e/emFStW0MCBA+twDR8+PPrd3rlz59KTTz4Zbfnyit8+++xTV+bQQw+NtpJ5+7jcxUKS/4uv+LcEtX4K7sDLH7XsblQHAiAAAiAAAv4QeOvav1dpLARggCuAy5Yto6FDh9L69eujlcD4GjlyJK1du5YWLFhA99xzD11wwQX1xByXO/HEE6lXr140c+bMsgE3ceLEsuLQtgDklb+jrluoEvSoFARAAARAAAR8IrBk/DFkeyUQAjBgAchbul27dq2L8REjRtC6deto/vz5FQXgCSecEK0e3nbbbYWuAJYKwPtHDqFu7ffyaaxWfVs3f7iLhs9YFnF46OIjqEOrPaqeiW8A1ry7nc6bvTxq9twLBtNX9mvtWxeqvr0Yh36HwIatH9GZs56NOgEBqONLbAGn2AJu6AKtJ4hSAagR+DqhhFpjAu9t30GDJ/8++n+XX3U87du6JeB4RuC1TR/QiTctiVr9+NijqG+Xtp71AM3FOPQ7BrTzoFb+9ol6cAIwfglk3LhxNH78+MgXu3btok6dOjV6CWTevHl0xhlnRGX4czI9evRw4iUQ7cD3KUB9bCsSj49eq99mCED/fYhx6LcPtfMgBKCnW8Dbt2+nN954I4puftHjhhtuoGOPPZY6dOhA+++/fyT0pk2bRrNnz6Y+ffrQ1KlTaeHChY0+A/PII49En4FhO/4m4Pvvv+/EZ2C0A9/vacH91iPxuO+jpBZCACYRcv/vGIfu+6ipFmrnQQhATwUgizkWfA2v8847LxJ08Yeg+WWO0g9B19TU1Jns2LGDLrvssug8YOmHoPlTMKaXVgBpB75p/1AuGwEknmzcXLKCAHTJG9nagnGYjZsrVtp5UCt/u8LPpB3ebwGbdFKrjFYAaQe+Fg/U+xkBJB7/IwEC0H8fYhz67UPtPKiVv32iDgEo8JZWAGkHvqDLMDUggMRjAMnxIhCAjjvIoHkYhwaQHC6inQe18rfDSBs1DQJQ4C2tANIOfEGXYWpAAInHAJLjRSAAHXeQQfMwDg0gOVxEOw9q5W+HkUIA2nSOVgBpB75NBqirMQEkHv+jAgLQfx9iHPrtQ+08qJW/faKOFUCBt7QCSDvwBV2GqQEBJB4DSI4XgQB03EEGzcM4NIDkcBHtPKiVvx1GihVAm87RCiDtwLfJAHVhBTDEGIAA9N+rEIB++1A7D2rlb5+oYwVQ4C2tANIOfEGXYWpAAInHAJLjRSAAHXeQQfMwDg0gOVxEOw9q5W+HkWIF0KZztAJIO/BtMkBdWAEMMQYgAP33KgSg3z7UzoNa+dsn6lgBFHhLK4C0A1/QZZgaEEDiMYDkeBEIQMcdZNA8jEMDSA4X0c6DWvnbYaRYAbTpHK0A0g58mwxQF1YAQ4wBCED/vQoB6LcPtfOgVv72iTpWAAXe0gog7cAXdBmmBgSQeAwgOV4EAtBxBxk0D+PQAJLDRbTzoFb+dhgpVgBtOkcrgLQD3yYD1IUVwBBjAALQf69CAPrtQ+08qJW/faKOFUCBt7QCSDvwBV2GqQEBJB4DSI4XgQB03EEGzcM4NIDkcBHtPKiVvx1GihVAm87RCiDtwLfJAHVhBTDEGIAA9N+rEIB++1A7D2rlb5+oYwVQ4C2tANIOfEGXYWpAAInHAJLjRSAAHXeQQfMwDg0gOVxEOw9q5W+HkWIF0KZztAJIO/BtMkBdWAEMMQYgAP33KgSg3z7UzoNa+dsn6lgBFHhLK4C0A1/QZZgaEEDiMYDkeBEIQMcdZNA8jEMDSA4X0c6DWvnbYaRYAbTpHK0A0g58mwxQF1YAQ4wBCED/vQoB6LcPtfOgVv72iTpWAAXe0gog7cAXdBmmBgSQeAwgOV4EAtBxBxk0D+PQAJLDRbTzoFb+dhgpVgBtOkcrgLQD3yYD1IUVwBBjAALQf69CAPrtQ+08qJW/faKOFUCBt7QCSDvwBV2GqQEBJB4DSI4XgQB03EEGzcM4NIDkcBHtPKiVvx1GihVAm87RCiDtwLfJAHVhBTDEGIAA9N+rEIB++1A7D2rlb5+oYwVQ4C2tANIOfEGXYWpAwIfE88mnu+m5P22md7btoE5tWtI3enWgFs2bGfSuOopAAPrvZx/Gof+U9XqgnQe18rceEfs1QwAKmGoFkHbgC7oMUwMCriee+S9vpEkPr6KNtTvqetO1XUu65pR+NKymq0EPwy8CAei/j10fh/4T1u2Bdh7Uyt+6VOzWDgEo4KkVQNqBn6XLWDEyp+Zy4mHxN3reCtrdoDvx2t+t5w6CCCQiCEDzeHe1pMvj0FVmLrVLOw9q5W+XGCa1BQIwiVATf9cKIO3AT9tlrBilI+Zq4mERf+T0J+ut/JX2jEVgl3YtaemE46p+OxgCMF3Mu1ja1XHoIisX26SdB7Xyt4ssK7UJAlDgLa0A0g78NF3GipE5rXiV9M13t9FVD74SGS6/6njat3VL80oUSz795vt09u3PJN7h3hHfpMN7d0wsF3IBVwUgVuLNo85EAIKnOc+8S2rnQa38nTcnyf0gAAX0tAJIO/BNu4wVI1NSROVWSdn6uu/U0BmDDzCvSLHkQyvX05j7Vibe4eazBtDwAd0Ty4VcwEUBiJX4dBGXJADBMx3PvEtr50Gt/J03J8n9IAAF9LQCSDvwTbuMFSMzUpVWSWPr2xw5Vwd/mvmTS7kmALESb+67uGRTAhA80/PM20I7D2rl77w5Se4HASigpxVA2oFv2mWsGCWTSlol5Rr4DVsXztXFbd1Uu6PRSyDcTpwB/MLfWgIwy5ZjUozBb+XHaSUBCJ7J85oLJbTzoFb+doGdaRsgAE1JlSmnFUDagW/aZawYJZPyjVG88sE9K30TGG8B1/e1hgDMuuXoW4wlj5p8SlQSgOCZD3/pXbTzoFb+lvY7T3sIQAFtrQDSDnzTLmPFKJmUj6ukWYVIMo1wStgWgJItRx9jzIVIqCQAwdMF7yS3QTsPauXv5J65UwICUOALrQDSDvw0XcaKUdO0fF1NyLIVmSZufC9rUwBKtxx9jbGiYyDEFcBqGrfaeVArfxcd92nuDwGYhlaDsloBpB34abuMFaPKxJJWSdnSlTOAaf1ezeVtCkCpgEuKMZwBLB+pSWcAfTsLW23zsHYe1MrfPs2bEIACb2kFkHbgZ+lyNT15puVTaZU0rseVt4DT9quay9sUgDa2HLESnz4aTd4C5lp9OAsrOUKQnpwbFtp5UCt/u0HPrBUQgGacypbSCiDtwBd0GaYVCPjwHUA4z5yATQEoXQGMW11tK0Dm3kq3AugbT+kRAinHouy186BW/i6KV5b7QgBmofa5jVYAaQe+oMswbYKA678EAueZE7ApAG1u4WIl3tyHSR+C5pp84GnrAcKcnBsltfOgVv52g55ZKyAAzThhBVDAqdpMTRJPtTHxrb82BSD3HVu4+UdAKOPQxhGC/OnL7wgBKGeYVAMEYBKhJv6u9QShHfiCLsPUgEAoicegq8EWsS0AYxE46eFVtLF2Rx03fkHomlP60bCarsGyLKpjoYxDrAASLRl/DPXs0MpqKGnlb6uNVK4MAlAAWCuAIAAFTnHANJTE4wDKwpqgIQC5Mz5sORYG3fKNQxmHNo8QWEasWp12HtTK36pQLFcOASgAqhVA2oEv6DJMDQiEkngMuhpsES0BGCwwBzsW0jg0PUIQ0gOGdh7Uyt8ODoWKTYIAFHhLK4C0A1/QZZgaEAgp8Rh0N8giEID+uzW0cZj0FnjS333zqHYe1MrfPnGGABR4SyuAtANf0GWYGhAILfEYdDm4IhCA/rs0xHFYaYUvxO8EaudBrfzt08iBABR4SyuAtANf0GWYGhAIMfEYdDuoIhCA/ruzWsZhqN8J1M6DWvnbp5EDASjwllYAaQe+oMswNSBQLYnHAIW3RSAAvXVdXcOrZRyG+pawdh7Uyt8+jRwIQIG3tAJIO/AFXYapAYFqSTwGKLwtAgHoreuqTgCG+p1A7Tyolb99GjkQgAJvaQWQduALugxTAwIQgAaQHC8CAei4gwyaVy3jECuABsFQpohW/s7WmmKsIAAF3LUCCAJQ4BQHTKsl8TiAWq0JEIBqaHOruFrGYajfCdTOg1r5O7cAt3AjCEABRK0A0g58QZdhakCgWhKPAQpvi0AAeuu6qtsC5g6bfifQJ69q50Gt/O0T42AF4Mcff0wTJ06ku+++mzZt2kRdu3al888/n6666ipq3rx55KPdu3fTpEmTaNasWbRlyxYaMmQIzZgxg/r372/kQ60A0g58o86hUGYCEICZ0TljCAHojCsyN6TaxiG+A5guVLTyd7pWFFs6WAE4ZcoUuvHGG2nu3LmRoFu+fDldcMEFNHnyZBozZkxEffr06cTl5syZQ3379o3+tnjxYlq9ejW1adMm0TNaAQQBmIje6QLVlnicdkbGxkEAZgTnkFk1jkP8Eoh5AGrlb/MWFF8yWAF48sknU+fOnenOO++so3z66afT3nvvTXfddVe0+tetWzcaO3YsTZgwISqzc+fOyIaF4ahRoxK9oxVAEICJ6J0uUI2Jx2mHZGgcBGAGaI6ZYBw65pCUzdHOg1r5O2U3Cy0erAC89tpr6bbbbqPHH388Wt176aWX6MQTT6SbbrqJzj77bFqzZg317t2bVqxYQQMHDqxzwvDhw6l9+/bRymHSpRVA2oGf1C/8XUYAiUfGzwVrCEAXvCBrA8ahjF/R1tp5UCt/F80tzf2DFYC8wnfllVdGq3ktWrSgTz75JNruveKKKyI+y5Yto6FDh9L69eujlcD4GjlyJK1du5YWLFjQiCOvEPJ/8cUB1LNnT6qtraW2bdum4d5kWe3At9ZQVFSWABKP/4EBAei/DzEO/fahdh6EACQKVgDed999dNlll9H1118fnQFcuXJltN17ww030HnnnVcnADds2BC9IBJfI0aMoHXr1tH8+fMbjR5+qYRfGml4QQD6PdHYbj0Sj22i+dcHAZg/c9t3xDi0TTTf+iAA9XkHKwB5Ze7yyy+niy++uI4iv+Qxb948evXVVzNtAWMFUD8gQ7gDEo//XoQA9N+HGId++xACUN9/wQrAjh07Rm/1jh49uo7itGnTaPbs2fTaa6/VvQQybtw4Gj9+fFRm165d1KlTJ7wEoh93Qd8Bicd/90IA+u9DjEO/fQgBqO+/YAUgf/PviSeeoJkzZ0ZbwC+++CLx+b4LL7wwEnh88f+NRWGfPn1o6tSptHDhQnwGRj/ugr4DEo//7oUA9N+HGId++xACUN9/wQrAbdu20c9+9jN64IEH6J133ole9OC3f6+++mraY489IrLxh6BZJJZ+CLqmpsaIvNYhUu3AN+ocCmUmgMSTGZ0zhhCAzrgic0MwDjOjc8JQOw9q5W8n4Bk2IlgBaNh/UTGtANIOfFGnYZxIAIknEZHzBSAAnXdRYgMxDhMROV1AOw9q5W+noTZoHASgwFtaAaQd+IIuw9SAABKPASTHi0AAOu4gg+ZhHBpAcriIdh7Uyt8OI23UNAhAgbe0Akg78AVdhqkBASQeA0iOF4EAdNxBBs3DODSA5HAR7Tyolb8dRgoBaNM5WgGkHfg2GaCuxgSQePyPCghA/32Icei3D7XzoFb+9ok6VgAF3tIKIO3AF3QZpgYEkHgMIDleBALQcQcZNA/j0ACSw0W086BW/nYYKVYAbTpHK4C0A98mA9SFFcAQYwAC0H+vQgD67UPtPKiVv32ijhVAgbe0Akg78AVdhqkBASQeA0iOF4EAdNxBBs3DODSA5HAR7Tyolb8dRooVQJvO0Qog7cC3yQB1YQUwxBiAAPTfqxCAfvtQOw9q5W+fqGMFUOAtrQAqDfyHLj6Cuu+zl6CVMM2bwObtu+jEm5ZEt3187FHUofVnHx7H5Q+BN9/ZTmfOejZq8P0jh1DvTq39aTxaGhHAOPQ7ENZv+YiGz1gWdWLJ+GOoZ4dWVjuklb+tNlK5MghAAWCtACoVgILmwRQEQAAEQAAEvCcAAajjQghAAVcIQAE8mIIACIAACICAAQEIQANIGYpAAGaAFpvkIQCxBSxwUEGmlbaennz1LzT+Vy9XbNV136mh4w7uXFCrw7/tJ5/uphfXbqX3PtxJ+7bakwYe0J5aNG9WtuPYAvY/HrAF7LcPsQWs7z8IQAHjPASgxpOPoMswNSBQ7vA5i48jpz9JG2t3lK2BZUiXdi1p6YTjKooSg1ujSAUC81/eSJMeXlWPf9d2LemaU/rRsJqujazwEoj/oYSXQMr7kOei5/60md7ZtoM6tWlJ3+jVwck5By+B6I9BCEABYwhAAbyATcslnqfffJ/Ovv2ZxF7fO+KbdHjvjonlUMCcAIu/0fNW0O4GJvHa363nDmokAiEAzfm6WhICsLFn0j4IFelbCEB9+hCAAsYQgAJ4AZuWSzwPrVxPY+5bmdjrm88aQMMHdE8shwJmBLKuvEIAmvF1uVQaAejLqpiEd5YHIcn9pLYQgFKCyfYQgMmMKpaAABTAC9gUK4DuODfryisEoDs+zNoSUwHo06pYVhZZH4Sy3s+GHQSgDYpN1wEBKGAMASiAF7BpU2cAN9XuaLQVyShwBlAnILKuvEIA6vgjz1pNBKBvq2JZ+WV9EMp6Pxt2EIA2KEIAqlGEAFRD63XFlRJPnGy4c6Xn0Zo6i+Y1CAcanzXxQQA64DxhE5IEoI+rYlmRZH0Qyno/G3YQgDYoQgCqUYQAVEPrdcVNJZ5q2G5yyXlxkk+78goB6JIXs7UlSQBmfTjI1ppirXzsKwSgfsxgC1jAGAJQAO9z0xAPXyclnhD7LI8EvRqyrLxCAOr5I6+ak8ahj6tiWdllfRDKej8bdhCANihiBVCNIgSgDG2oq2FJiUdGDdZZCKSNNQjALJTdskkahz6uikkIZ3kQktxPagsBKCWYbI8VwGRGFUtAAGaHF/Lh66TEk50aLCUE0qy8QgBKSLthmzQOfVwVk5JN+yAkvZ/EHgJQQs/MFgLQjFPZUhCA2eCFfvg6KfFkowarPAlAAMpopxHbsjtVtjYZh76titlg5YJvTPoBAWhCSVYGAlDADwIwG7zQt15MEk82crDKiwAEYHbSrqwymY5DV9qbnXiYlhCA+n6FABQwhgDMBi/0w9emiScbPVjlQQACMBtll452pBmHvqyKZfOKn1YQgPp+gwAUMIYAzAYPK4DZuMEqPwIQgOlZu3a0I40ATN9bWGgTgADUJkwEAShgDAGYDV7oh6+ReLLFhUtWEIDpveHagx3GYXofumQBAajvDQhAAWMIwOzwQj58jcSTPS5csYQATO8J1452YBym96FLFhCA+t6AABQwhgAUwCOiUA9fI/HI4sIFawjA9F7ACmB6ZrCoTAACUD86IAAFjCEABfA+Nw3x8DUEoDwuiq4BAjC9B1w72oFxmN6HLllAAOp7AwJQwBgCUAAvYFMkHv+dCwGYzYcuHe3AOMzmQ1esIAD1PQEBKGAMASiAF7ApEo//zoUAzO5DV452YBxm96ELlhCA+l6AABQwhgAUwAvYFInHf+dCAMp86MLRDoxDmQ+LtoYA1PcABKCAMQSgAF7Apkg8/jsXAtB/H2Ic+u1DCEB9/0EAChhDAArgBWyKxOO/cyEA/fchxqHfPoQA1PcfBKCAMQSgAF7Apkg8/jsXAtB/H2Ic+u1DCEB9/0EAChhDAArgBWyKxOO/cyEA/fchxqHfPoQA1PcfBKCAMQSgAF7Apkg8/jsXArCxD114sSNNZGEcpqHlXlkIQH2fQAAKGEMACuAFbIrE479zIQDr+9CVT7ukiSyMwzS03CsLAajvEwhAAWMIQAG8gE2RePx3LgTgFz6MP+68u4Fbm33+/9967iAaVtPVOadjHDrnklQNggBMhStTYQjATNg+M6oWAejb1o/ApVZMkXisYCy0EgjAz/DHP++2sXZHWX+wCOzSriUtnXActWgeS8JCXVd3c4xDN/yQtRUQgFnJmdtBAJqzalSyGgSgj1s/ApdaMUXisYKx0EogAD/D//Sb79PZtz+T6It7R3yTDu/dMbFcngUwDvOkbf9eEID2mTasEQJQwDh0Aejr1o/ApVZMkXisYCy0EgjAz/A/tHI9jblvZaIvbj5rAA0f0D2xXJ4FMA7zpG3/XhCA9plCAFpkGrIA9Hnrx6KLM1WFxJMJm1NGEIBYAXQqIKuwMRCA+k7HCqCAccgC0OetH4FLrZhCAFrBWGglEICf4Y8fBDfV7qCGL4Hw33EGsNAwDfrmEID67oUAFDAOWQD6vPUjcKkVUwhAKxgLrQQC8Av88VEQ/pdSEYi3gAsN0cw39+WlPgjAzC42NoQANEbVuGDIAhArgNkDAwIwOztXLCEA63vCx5fBMA4bjyaf/AgBqD8bQgAKGIcsAH3e+hG41IopEo8VjIVWAgHYGL8vK0dxyzEOG4v40fNWNNrKd3UlFwJQfwqEABQwDlkAMhZft34ELrViisRjBWOhlUAAForfys0xDr/A6ONLfRCAVoZBk5VAAAoYhy4AYxE46eFVVPoh2K7tWtI1p/Rz8uv/AndaM0XisYaysIogAAtDb+3GGIdfoPTxSA8EoLWhULGioAXg+vXracKECfTYY4/RRx99RH379qU777yTDjvssAjI7t27adJRevaSAAAgAElEQVSkSTRr1izasmULDRkyhGbMmEH9+/c3Il8NApBB+Lb1Y+Q8xUJIPIpwc6oaAjAn0Iq3wTj8Aq6PL/VBACoOjs+rDlYAsqAbOHAgHXvssTR69Gjq1KkTvfnmm3TggQdS7969o+5Pnz6dpkyZQnPmzInE4eTJk2nx4sW0evVqatOmTSL9ahGAiSBQoB4BJB7/AwIC0H8fYhxiBbCpKNbK3z6NnGAF4OWXX05PPfUULVmypKw/ePWvW7duNHbs2GiVkK+dO3dS586dI2E4atSoRD9qBZD2k09ix1BARACJR4TPCWMIQCfcIGoExuEX+Hx8qU87D2rlb1HQ5mwcrADs168fnXTSSfT222/TokWLqHv37nTRRRfRiBEjIsRr1qyJVgJXrFgRrRTG1/Dhw6l9+/Y0d+7cRq5ggcj/xRcHUM+ePam2tpbatm1rzXXagW+toaioLAEkHv8DAwLQfx9iHNb3oW8v9WnnQQhAomAFYMuWLaPo//GPf0zf/e536bnnnotW+2bOnEk/+MEPaNmyZTR06FDic4K8EhhfI0eOpLVr19KCBQsazYATJ06Mzgw2vCAA/U8WNnuAxGOTZjF1QQAWw93mXTEOG9PEdwC/YAIBGLAA3GOPPWjw4MGR0IuvH/3oR/T888/T008/XScAN2zYQF27dq0rwyuE69ato/nz52MF0OZsXEV1IfH472wIQP99iHFY3oe+vNSHFUD9MRjsCuABBxxAJ5xwAt1xxx11FG+99dboRQ9e9cuyBdzQHVpPENqBrx9W1X0HJB7//Q8B6L8PMQ799qF2HtTK3z5RD1YAfu9734tW8kpfAhk3bhw9++yz0epf/BII/9v48eMjn+3atSt6WxgvgfgUwu61FYnHPZ+kbREEYFpi7pXHOHTPJ2laBAGYhla2ssEKQN7qPeKII6Ize2eccUZ0BpC3d/mbf+ecc05Ei4XetGnTaPbs2dSnTx+aOnUqLVy4EJ+ByRZLsPqcABKP/6EAAei/DzEO/fYhBKC+/4IVgIzukUceoSuuuIJef/116tWrV/RCSPwWMP89/hA0vxhS+iHompoaI/JaS8jagW/UORTKTACJJzM6ZwwhAJ1xReaGYBxmRueEoXYe1MrfTsAzbETQAtCQQeZiWgGkHfiZOwxDIwJIPEaYnC4EAei0e4wah3FohMnZQtp5UCt/Owu0TMMgAAXe0gog7cAXdNkL06LfckPi8SJMmmwkBKD/PsQ49NuH2nlQK3/7RB0CUOAtrQDSDnxBl503deE7V0g8zodJYgMhABMROV8A49B5FzXZQO08qJW/faIOASjwllYAaQe+oMtOm8Zfut/doJXNPv//bz13EA2r+eKbj1qdQeLRImu33qZWiiEA7bIuojaMwyKo27undh7Uyt/2COjXBAEoYKwVQNqBL+iys6bxb11urN1Rto0sAru0a0lLJxxHLZrHklCnO0g8Olxt1pq0UgwBaJN2MXVhHBbD3dZdtfOgVv621f886oEAFFDWCiDtwBd02VnTp998n86+/ZnE9t074pt0eO+OieUkBZB4JPT0bU1Wir+ybys68aYlUWMeH3sU9e1i77e+9XuIOzABjEO/40A7D2rlb5+oQwAKvKUVQNqBL+iys6YPrVxPY+5bmdi+m88aQMMHdE8sJymAxCOhp2trulL8H+cNpr/996UQgLruUK0d41AVr3rl2nlQK3+rg7F4AwhAAUytANIOfEGXnTXFCqCzrnGqYaZxct3pNTT+1y9DADrlvXSNgQBMx8u10tp5UCt/u8axqfZAAAq8pRVA2oEv6LKzpvHKzqbaHdTwJRBuNM4AOuu6XBtmulJ8+bCv0rXzV0MA5uoduzeDALTLM+/atPOgVv7Om5PkfhCAAnpaAaQd+IIuO20an+3iRpaKQNffAi76u4VOO9Vy47ACaBmow9VBADrsHIOmaedBrfxt0DVnikAAClyhFUDagS/osvOmSW935tGBNInHhfbmwcSVe5iuFOMMoCsey96ONOMw+11gqUVAOw9q5W8tHhr1QgAKqGoFkHbgC7rshWnRK2qmicfkbdQ8vlvohVMtNtJkpbjSW8BFx5ZFDMFXZToOgwfhaQe186BW/vYJNwSgwFtaAaQd+IIuw9SAgEniMX0bNY/vFhp0KbgiSSuv5b4DmGQTHCTPO2QyDj3vYtDN186DWvnbJ6dAAAq8pRVA2oEv6DJMDQiYJB7Ts2h5fLfQoEtBFknzSyBr3vuQRs9b0egFo7zPlwbpCKVOmYxDpVujWgsEtPOgVv620PXcqoAAFKDWCiDtwBd0GaYGBEwSj+nbqHl8t9CgS1VXpHQF8LEfHUkXzl1OLvzKTNU5ookOJ23Hm4xD8HSXgHYe1Mrf7hJt3DIIQIG3tAJIO/AFXYapAQGTxIMVQAOQBRYpFYCl3wRsqklYrc3PYSbb8SbjML8W405pCWjnQa38nbafRZaHABTQ1wog7cAXdBmmBgRMEo/p26g4A2gAXKFIqQAs/SZgU7fCaq2CI8pUafrylMk4zKfFuEsWAtp5UCt/Z+lrUTYQgALyWgGkHfiCLsPUgIBp4jF5GxVvARsAVyiCFUAFqBaqTPPy1Ja/7qTBk38f3XX5VcfTvq1bWmgBqsiLgHYe1MrfefGxcR8IQAFFrQDSDnxBl2FqQMBUAHJVJltZBrdEEcsEyp0BdOFXZix307vq0hyd6NO5FQSgdx7+osHaeVArf/uEHAJQ4C2tANIOfEGXYWpAII0A5OqSDrMb3BJFLBNo+BmY+C1gvk2RvzJjuZveVZfm5amhB3WEAPTOwxCAeboMAlBAGwJQAC9g07QCMGAU3nYN3wF003W+rgDiIS99PGkvhGjl7/Q9Lc4CAlDAXiuAtANf0GWYGhCAADSA5HiRcgIQq7XFOy3Ny1OunAHEMY9scaOdB7Xyd7beFmMFASjgrhVApYE/94LB1LXdXoJWwjRvAlv+uovOnPVsdNv7Rw6hffbeI+8m4H5CAm+9t51GznsxqmXWuQPpwH1bC2uEuS0CS994l37+yKsVq7v65IPpyIP2IxfGoWlbbbEJqZ6NtR/RebOXR11aMv4Y6tmhldXuaeVvq41UrgwCUABYK4BKBaCgeTAFARAAARAAAe8JQADquBACUMAVAlAAD6YgAAIgAAIgYEAAAtAAUoYiEIAZoMUmeQhAbAELHFSQqQtbTwV1PZjbYgvYf1cWPQ6ffPUdunb+6kSQ/KHx4w7ulFiu2gpgC1jf4xCAAsZ5CECNJx9Bl2FqQAAvgRhAcrxIpZdAHG82mldCoOhxmOaN5cN7d4TvGhDASyD6IQEBKGAMASiAF7Bp0YknYLS5dQ0CMDfUajcqehymeWO5RfNmahx8rRgCUN9zEIACxhCAAngBmxadeAJGm1vXIABzQ612IxfGIX7uMbt7IQCzszO1hAA0JVWmHASgAF7Api4knoDx5tI1CMBcMKvexJVxWO47gB1afZlOG9Cdvt2vC32jVwfCCmDjUIAAVB0eUeUQgALGEIACeAGbupJ4Akas3jUIQHXE6jdwaRzGvwTyu1Wb6MGVG2jzh7vq+t+1XUu65pR+NKymqzoTn24AAajvLQhAAWMIQAG8gE1dSjwBY1btGgSgKt5cKndtHMbbwaW/JR2twnxO49ZzB0EElkQGBKD+MIEAFDCGABTAC9jUtcQTMGq1rkEAqqHNrWKXxmH8QsjG2h1l+88isEu7lrR0wnHYDv6cEASg/lCBABQwhgAUwAvY1KXEEzBm1a5BAKrizaVyl8YhPgmT3uUQgOmZpbWAAExLrKQ8BKAAXsCmLiWegDGrdg0CUBVvLpW7NA4fWrmexty3MrHfN581gIYP6J5YrhoKQADqexkCUMAYAlAAL2BTlxJPwJhVuwYBqIo3l8pdGodYAUzvcgjA9MzSWkAApiWGFUABseowdSnxVAdx+72EALTPNO8aXRqH+Ch0eu9DAKZnltYCAjAtMQhAAbHqMHUp8VQHcfu9hAC0zzTvGl0bh5U+Ch1z+aehB+K7gCVBAgGoP2IgAAWMsQUsgBewqWuJJ2DUal2DAFRDm1vFLo7Dch+F5l+B+7Tk2zD4LuBnIQIBqD9UIAAFjCEABfACNnUx8QSMW6VrEIAqWHOt1NVxWPpR6P946q1GTPBdQAjAvAYKBKCANASgAF7Apq4mnoCRW+8aBKB1pLlX6PI4xHcBk8MBK4DJjKQlIAAFBCEABfACNnU58QSM3WrXIACt4iykMpfHId4KTg4JCMBkRtISEIACghCAAngBm7qceALGbrVrEIBWcRZSmcvjEN8FTA4JCMBkRtISEIACghCAAngBm7qceALGbrVrEIBWcRZSmcvjECuAySEBAZjMSFoCAlBAEAJQAC9gU5cTT8DYrXYNAtAqzkIqc3kc4ruAySEBAZjMSFoCAlBAEAJQAC9gU5cTT8DYrXYNAtAqzkIqc30cVvouIN4C/ixcIAD1hw0EoIAxBKAAXsCmrieegNFb6xoEoDWUhVXkwzgs911AfAcQAjCvQQMBKCANASiAF7CpD4knYPxWugYBaAVjoZX4Mg7j7wK+s20HdWrTkr7RqwO14K9DV/mFFUD9AIAAFDCGABTAC9jUl8QTsAvEXYMAFCMsvAKMw8JdIGoABKAIn5FxVQjAadOm0ZVXXkljxoyhm266KQKze/dumjRpEs2aNYu2bNlCQ4YMoRkzZlD//v2NwHEhCEBjVFVVEInHf3dDAPrvQ4xDv30IAajvv+AF4PPPP09nnHEGtW3blo499tg6ATh9+nSaMmUKzZkzh/r27UuTJ0+mxYsX0+rVq6lNmzZG5CEAjTBVXSEkHv9dDgHovw8xDv32IQSgvv+CFoDbt2+nQYMG0S233BIJvAEDBkQCkFf/unXrRmPHjqUJEyZElHfu3EmdO3cmFoajRo0yIg8BaISp6goh8fjvcghA/32Icei3DyEA9f0XtAA877zzqEOHDnTjjTfSMcccUycA16xZQ71796YVK1bQwIED6ygPHz6c2rdvT3Pnzi1LnkUi/xdfLAB79uxJtbW10QqjrUs78G21E/WUJ4DE439kQAD670OMQ799qJ0HtRZwfKIerAC87777olW/5cuXU8uWLesJwGXLltHQoUNp/fr10UpgfI0cOZLWrl1LCxYsKOvDiRMnRucGG14QgD6FvH5bkXj0GWvfAQJQm7B+/RiH+ow17wABqEn3s7qDFIDr1q2jwYMH0+OPP06HHnpo1NHSFcBYAG7YsIG6du1aR3nEiBHEtvPnz8cKoH7sBXsHJB7/XQsB6L8PMQ799iEEoL7/ghSADz74IJ122mnUokWLOoKffPIJNWvWjJo3bx696HHQQQel3gJu6A6tJWTtwNcPq+q+AxKP//6HAPTfhxiHfvtQOw9q5W+fqAcpALdt2xZt5ZZeF1xwAR188MHRSx/8qRfe+h03bhyNHz8+KrZr1y7q1KkTXgLxKXodbSsSj6OOSdGstAIQH/NNATenohiHOYFWug0EoBLYkmqDFIDlsJVuAfPf+W1f/j7g7NmzqU+fPjR16lRauHAhPgOjH3PB3yFL4oGAcCss0ghA/JyXW76LW5NlHLrZk+psFQSgvt+rVgDGH4KeOXNmvQ9B19TUGFPXWkLWDnzjDqJgJgJpEw8ERCbMqkamApB9N3reCtrdoDXxD3ndeu4gGlbzxTlj1Uaj8noE0o5D4HOLgHYe1MrfblFsujVVIwA1nKIVQNqBr8ECdX5BIE3igYBwM3JMBCCv2h45/UnaWLujbCdYBHZp15KWTjgOv+1agJvTjMMCmodbJhDQzoNa+dsnx0IACrylFUDagS/oMkwNCJgmHggIA5gFFTERgE+/+T6dffsziS28d8Q36fDeHRPLoYBdAqbj0O5dUZstAtp5UCt/2+p/HvVAAAooawWQduALugxTAwKmiQcCwgBmQUVMBOBDK9fTmPtWJrbw5rMG0PAB3RPLoYBdAqbj0O5dUZstAtp5UCt/2+p/HvVAAAooawWQduALugxTAwKmiQcCwgBmQUVMBCAEfEHOMbyt6Tg0rA7FciagnQe18nfOmES3gwAU4NMKIO3AF3QZpgYETBMPBIQBzIKKmAjAeAt/U+2ORi+BcLNxBrAg531+W9NxWGwrcfdKBLTzoFb+9smjEIACb2kFkHbgC7oMUwMCpokHAsIAZkFFTAQgNy1+iYf/d+mbwHgLuCDHldzWdBwW31K0oBwB7Tyolb998iYEoMBbWgGkHfiCLsPUgECaxAMBYQC0gCKmAjAWgZMeXlXvbeCu7VrSNaf0wydgCvBdfMs047DAZuLWFQho50Gt/O2TQyEABd7SCiDtwBd0GaYGBNImHnwH0ABqzkXSCEBuGj7knbODDG6XdhwaVIkiORLQzoNa+TtHROJbQQAKEGoFkHbgC7oM0woESgXAni2a0w/vXhGVXH7V8bRv65aJ3CAgEhHlWiCtAMy1cbiZEQEIQCNMzhbSzoNa+dtZoGUaBgEo8JZWAGkHvqDLMC1DoNwKXlzMVAACrFsEIADd8keW1kAAZqHmjo12HtTK3+4QTG4JBGAyo4oltAJIO/AFXYZpAwKVfskjLnbdd2rojMEHgJtnBCAAPXNYmeZCAPrtQ+08qJW/faIOASjwllYAaQe+oMswLSGQ9EseXLRTmz3o6Su+jZ8C8yxyIAA9cxgEoP8Oa9AD7Tyolb99cgQEoMBbWgGkHfiCLsO0hAC+4xduOEAA+u9brAD67UPtPKiVv32iDgEo8JZWAGkHvqDLMC0hgF/yCDccIAD99y0EoN8+1M6DWvnbJ+oQgAJvaQWQduALugxTrABWRQxAAPrvZghAv32onQe18rdP1CEABd7SCiDtwBd0Wd3Up8+hJP2SB8PCGUD1kFG5AQSgCtZcK4UAzBW39Ztp50Gt/G0dhGKFEIACuFoBpB34gi6rmvr4QeRKv+QRg8JbwKoho1Y5BKAa2twqhgDMDbXKjbTzoFb+VoGhVCkEoACsVgBpB76gy2qmlT6n4sNvquI7gGphUVjFEICFobd2YwhAaygLqUg7D2rl70JgZbwpBGBGcGymFUDagS/osopp0udUWAR2adeSlk44ztnPqWT9JRCftrxVnO9opRCAjjomRbMgAFPAcrCodh7Uyt8OoqzYJAhAgbe0Akg78AVdVjEN7XMqponHxy1vlQBwsFIIQAedkrJJpuMwZbUonhMB7Tyolb9zwmPlNhCAAoxaAaQd+IIuq5iG9jkVk8Tj85a3ShA4VikEoGMOydAck3GYodrUJljlT40sMtDOg1r5O1tvi7GCABRw1wog7cAXdFnFtNpWAEPY8lYJBIcqhQB0yBkZm+KCAMQqf0bnQQBmB5fCEgIwBayGRSEABfBKTJM+p+LDGcBSEkmJJzTBaycK3KoFAtAtf2RpTdI4zFJnGhus8qeh1bis9kKIVv6W9TpfawhAAW+tANIOfEGX1UwrfU7Fh7eAG0JJSjyhbXmrBUWBFUMAFgjf0q2TxqGl25StBqv8crraeVArf8t7nl8NEIAC1loBpB34gi6rmoayXZKUeLACqBpGViqHALSCsdBKksahZuMwxuV0tfOgVv6W9zy/GiAABay1Akg78AVdVjcN4cB0UuIJbctbPSgKuAEEYAHQLd8yaRxavl296rDKL6ernQe18re85/nVAAEoYK0VQNqBL+gyTA0ImCSekLa8DZB4VwQC0DuXNWqwyTjU6iVWAOVktfOgVv6W9zy/GiAABay1Akg78AVdhqkBAdPEE8qWtwES74pAAHrnMqcEIFb55fGjnQe18re85/nVAAEoYK0VQNqBL+gyTA0ImApAriqELW8DJF4VYZ/8+oU/0/hfvxy1+7EfHUmHdGvnVR/QWKI041CDF1b5ZVS186BW/pb1Ol9rCEABb60A0g58QZdhakCg6MRj0EQUqUCg3Krsvq2+RJNP+xoNq+kKbh4RcGEcYpU/e8Bo50Gt/J29x/lbQgAKmGsFkHbgC7pcdaZZVuhcSDxV5ygLHa703Taumj9HdOu5gyACLXDOqwpXxmGWOSQvRi7fRzsPauVvl5k2bBsEoMBbWgGkHfiCLgdvWjpZv/Xeh3Tvc3+mTR/srOt313Yt6ZpT+jUpBFxJPME7y2IH8d02izAdqQrj0BFHZGyGdh7Uyt8Zu1uIGQSgALtWAGkHvqDLQZuW265p9MT0+T80tRqExONfmOCtTf98ltRijMMkQm7/XTsPauVvt6nWbx0EoMBbWgGkHfiCLgdr2tT2XzkR2KVdS1o64Thq0Tz+rZIvSiHx+Bcm+G6bfz5LajHGYRIht/+unQe18rfbVCEArflHK4C0A98agEAqStr+q9TNe0d8kw7v3bHRn5F4/AsMrAD657OkFmMcJhFy++/aeVArf7tNFQLQmn+0Akg78K0BCKQi0+TfsLs3nzWAhg/oDgEYQBzgu20BOLFBFyAA/fapdh7Uyt8+UccWsMBbWgGkHfiCLlc09flNN9Ptv4adxwqgRiQVV2el77Zxi/AWcHF+yXpnCMCs5Nyw086DWvnbDXpmrYAANONUtpRWAJUG/v0jh1C39nsJWqlvuui1d+jmJ16nd7f/X93N9mv9ZRrz7T70rb6d9BsgvMOKtVtozP0vpaqF+/fLHx5R9gzg5g930fAZy6L6Hrr4COrQao9UdaNwcQTKxfI+LZvRT4Yd4kUsF0fOvTtjHLrnkzQt2rD1Izpz1rORyZLxx1DPDq3SmCeW1crfiTd2qAAEoMAZWgFUKgAFzYMpCIAACIAACHhPAAJQx4UQgAKuWgKw9HdIBc2DKQiAAAiAAAh4T+DxsUdR3y5trfZDK39bbaRyZRCAAsBaAVQqAOdeMJi+sl9rQSv1TE23Tm8+81AadMA+dQ1xdWum0lb2KYd2px777EUdW+1Bh/ZsX3bbt5Tymne303mzl0f/5LL/JJGRhw/ZH1c9uKpiMyef2k9tW3blnzfTJff9Ibr3L876Gg3Yv4MEl3O2efgvr07z+eOX1m2l9z/cVW+M+jIOs8Z5SD4sFyul/oMA1BlNEIACrnkIQI3AF3S5nqnpyxMN35Z1+XC2jZdZSgW8y/6TxIG2D5M+zcMvZTT1LUZJ39j22TXv1Z0/4nO4Q76yr7RKp+y1/ZdXZ5v6rd2v7NuKTrxpSdQUV8ehJM5D8WGlWNGeR7Xyd16xb+M+EIACiloBpB34gi7XMzX9fErDt2VtTVw2xJotFqX1+OI/Sd9t+bBSG7LGlqRPpbY+CcAs40Dbf7b80FQ9lT7eHn+a/WcnH0w/f+RVpwWgJM5D8GFT/tWeR7Xydx6xb+seEIACkloBpB34gi7XM8367TQbE1dTT/7Darra6mKmenzxX6bOfW5kw4dN3T/r6rKkTz4KwKzjQNt/tvxQqR6TlbOOrb5E7334sdMCUBLnvvswKUa051Gt/J3UL5f+DgEo8IZWAGkHvqDLjUwrfTstfgov95u50okr6cm/qd/ptdn3SnX55L+sPKQ+TLqvZGUkqW6Tv/uwAigZB9r+M2EsKWMaH/E9XN0CNu1HuW+O+u7DJP9rz6Na+TupXy79HQJQ4A2tANIOfEGXy5qmXYWQTFwmT/6aZ8NM2PnmP5M+NSwj8aHJ/bKuLpvUbVLGdQEoHQfa/jNhLCljunLmugCUxLnvPkzyv/Y8qpW/k/rl0t8hAAXe0Aog7cAXdLmiaZpzSJKJS/LEnKXfafoV1++j/9KykfjQ9F5ZVpdN604q57oAlI6DPPyXxFjyd9P+uy4AuX1Z49x3Hyb5X3se1crfSf1y6e8QgAJvaAWQduALumzFVDJxmT75V/qd3jQdSLuyCQGYhq5Z2aw+MKu9cinXBaB0HEjGoJStDXuTlTMfzgDGLLLEue8+TIoD7Tyolb+T+uXS3yEABd7QCiDtwBd02YqpZOIyffKv9Du9ph2QnK8K3X/MUOJDUx/E5bKswqa9R8PyrgtA6TjI039SX1SyT1o5O/eb+9Ndz/w5Mn/sR0fSId3aaTXFSr1p47ySD9PWY6XxCpVoz6Na+VsBhVqVwQrAadOm0W9+8xt69dVXaa+99qIjjjiCpk+fTl/96lfrYO7evZsmTZpEs2bNoi1bttCQIUNoxowZ1L9/fyPgWgGkHfhGnVMsJEk+Jk/+0jOA0vNVofsvbwGoGIoVq3ZJAJZL6NzwI6c/SZtqd9DuMr1I+k6iZAwW4Y+mROCkh1fRxtoddUX22fvLEZOtf/3it8n3bfUlmnza16joLwTYZFfOh1lWEm22yWZd2vOoVv62yUC7rmAF4LBhw+iss86ir3/96/Txxx/TT3/6U/rjH/9Iq1atolatPvtRaRaEU6ZMoTlz5lDfvn1p8uTJtHjxYlq9ejW1adMmkb1WAGkHfmLHlAtIk0/Sk7/0LWDp6kro/oMAVB4gJdU3ldC52Oh5K6LSpSKwqTfw46qlYzA/Asl3KhXIb733Id34xOtljZhL0tzg0+pZQx8uf2tLFA8NHwhM4iGZcv4ltOdRrfydP6nsdwxWADZE8u6771KnTp1o0aJFdPTRRxOv/nXr1o3Gjh1LEyZMiIrv3LmTOnfuHAnDUaNGJVLVCiDtwE/smHKBppKP6QSs+aQrPV8Vuv8gAJUHyOfVmxxD4KINV8C6tmtJ15zSr8nVrpAEYOwN6cq95pyiETGlPnz2yuPo1BnL6q2Elt4zaUVYo33SOrXnUa38Le13nvZVIwDfeOMN6tOnT7QKWFNTQ2vWrKHevXvTihUraODAgXXMhw8fTu3bt6e5c+cm+kErgLQDP7FjygUqJZ+0E7CpWEzbHawAJhMLUUCU9rroLeA0Yobb/dyfNtM723ZQpzYt6Ru9OiT+XnWI/pOMWxOx7dr2cakPbztnEP3w7s9Wg5u6pGejk+q3+XftPKiVv20y0K6rKgQgr/axsONzfkuWfPbbkHPT68kAACAASURBVMuWLaOhQ4fS+vXro5XA+Bo5ciStXbuWFixY0Ig9rxDyf/HFAdSzZ0+qra2ltm3bWvOVduBba2jGiiqdXXFl+0J6ztA1/2kI5RAFhEsCUCJmTIZliP7LunKfRmy3aB5vqJpQ1i1T6sPJp/anqx58JfGGNr6OkHgTSwW051EIQKKqEIAXX3wxPfroo7R06VLq0aNHPQG4YcMG6tr1i58OGzFiBK1bt47mz5/fKIwnTpwYvTTS8IIATDfiGyafffbeMzrQXnqQu7TGIrYvJOcMtSeuNLTTrqqa1h2igHBJAGYVM9Xsv6yiOaudKWutclgBlJGFAKwCAXjJJZfQgw8+GL3c0atXr7qIybIFjBVA2YCLrRuKh9f/8iGdffsziZXnvX2RVTy5IgA1t7UgABPDVVRAW5SE6L+sK/faYlsUCE0YlzsDmPWtcK02SurVnkchAAMWgLzty+LvgQceoIULF0bn/0qv+CWQcePG0fjx46M/7dq1K3pRBC+BpB+2abYZGyafp954n8bctzLxpkVsX6TpV9wB7YkrERQRaW9rhSggXFoBzCpmTGKDy4Tqv0or99znSm8Ba4ttU5+kLVfpLWCuJ+1b4WnvnUd57XkUAjBgAXjRRRfRPffcQw899FC9b/+1a9cu+i4gXyz0+HuBs2fPjgTi1KlTI7GIz8CkG95pV8p8WQFMR+GL0toTl0m7tJNaqAIiZlv0SyDcDskxhKQYCdl/5eajpr4DqC22k3yR9e/4DmBWcp/ZQQAGLACbNSt/WJfF3vnnnx8FQPwh6JkzZ9b7EDS/JWxyaQWQCwLCpP+lSSrNt6cqnQEMZfvCBf9pb2uFLCA4rl0QgPH4yvKZl6TxG7r/WNT9+oU/0/hfvxyhSPolEE2xneSLrH+v5MMsuxZZ26Bppz2PauVvTSa2666Kl0BsQ4vr0wog7cC3xSPrNmNTbwFHwrykgT5+xNQF/2EFUBblrghA7oVGQg9dADK3tOMw7U6GLMLk1qH7MK3/0hLVyt9p21FkeQhAAX2tANIOfEGX65lmFRm2vgNoqx+263HBf9rbWqEnH5cEoO345PpC918WAagltjX8Vw0+1J5HtfK3lr816oUAFFDVCiDtwBd0uZ5p1m3GppKPxmqHrf6a1uOK/zS3tUIXEBCAptHubjlXxqEWodDHoLb/tPK3lr816oUAFFDVCiDtwBd0WXUF0Fa7iq4nyX95ilytba3Qkw8EYNGjSH7/pHEov0OxNYQ+BrX9p5W/i42KdHeHAEzHq15prQDSDnxBl+uZZt1mrOaJS0uQNeVTm4IzruvNd7fV/fLA8quOp31bt7QVVk7UAwHohBtEjShqHrU53poCUM3zqCgwPjfWyt822pZXHRCAAtJaAVTUxJUFRZZtxmqduDQ/zJzFd2ltyolXruO679TQGYMPSFud0+UhAJ12j1HjiphH83zAq9Z51Mj5BoW08rfBrZ0pAgEocIVWABUxcQkwRN8rS/OpimqcuLK+MS3xi03bSuI1vsdt5w6iYTVf/KSizXsXURcEYBHU7d4z73k07we8apxHbUaIVv622UbtuiAABYS1AijviUuAoM40zbbHXz74iIZMfTKyve2cQXRC/y7k0o+sS3mU81/WN6albbFhnyRe+R5d27WkpROOC8aPEIA2IqfYOvKcR5PGiMbvmUMAyuJLK3/LWpWvNQSggLdWAOU5cQm6n8mUn5Kvfuhlemfbrjp7Fg/XnNLP+xWkWAS/tG4LXTt/ddS/x8ceRX27tKWsb0xngmzZyFXxmuahIy0SCMC0xNwrn+c8WsQYgQCUxZxW/pa1Kl9rCEABb60AynPiEnQ/tWneWySpGygwqHQ+7uqTD6YLj+xNRSQIQXfqmbooXtMeO0jLwnUBKBW/oYsH9nee82gRYyR0H2r7Tyt/p51riiwPASigrxVA2oEv6HJm0yK2SDI3NqWhyfm4E/p1oSOnP0naP3cnFQbluu6aeM3jQcJlAWhD/IYuHvIWgEWMkdB9qJ0HtfJ3yvRRaHEIQAF+rQDSDnxBlzObFjFBZm5sCsMkYctVxefjfrdqE42etyKqXePn7mwIg4Zd5/498+b7dPE9K2jrR/9XkUxeZwCTeNs6a+WqALQlfkMXD3kLwKyfxEox1TQqGroPtfOgVv6W+DRvWwhAAXGtANIO/LRdtrGqVMQWSdp+ZimfVthqiDRuty1hUMqg0rZ2OU55vQWclncWn7KNiwLQpvgNXTzkLQBLx6DWA17DWA7dh9p5UCt/Z51zirCDABRQ1wog7cBP02VbgiWvxJ2mbzbKZhG2NgR1adttCoO43qRt7dL75/kdwCy8s/jZRQFocwyFLh6KEICxCEzzSawssRnbhO5D7Tyolb8lPs3bFgJQQFwrgLQD37TLNleVitgiMe2npJzNpJy1HbbbkCQouZ1t92xBH+z8JGpynr8EYruvlZi7KABtit/QxUNRApDva/sBr1KMhu5D7Tyolb+zzuNF2EEACqhrBVBp4N8/cgj17tRa0MpspjyJnfKLpfU+19Kwpk5t9qCHLznS+NtvT776Fxr/q5crNohXko47uHO2BhdkpcEpbVfmv7yp7mfZmrKdfGp/GlbTJbH65X/aQj+8+7OziiYXf+qmQ+s9TIqKy+TFe8Vbm2nkvBej9s46dyANOrCDuO3SCkz9wt/WHNxrnyZvt3n7LjrxpiVRmTz9J2WQxv7Nd7bTmbOejUyKmkfTtDdt2dB9WOq/+HNaaRk1VV4rf9tso3ZdEIACwloBVCoABc2DKQiAAAiAAAh4TwACUMeFEIACrhCAAngwBQEQAAEQAAEDAhCABpAyFIEAzAAtNslDABa1dWFzu6kh4lC3Lnh78sW1W+mVDbX0i/95M9etJ5vb6ybbrG33bEYf7PzsYzaP/ehI2q/tnoKRlM005v3ehztp31Z70sAD2hsfR0i6o4tbwHGb2df/uuC1escz+DjGpSf1NT5CEeoYLPUrtoCTotztv2MLWN8/EIACxnkIQI0nH5Mua760gcPLJh5IX8bWG9t85/gFIP7fpd8sLNcqFh8/H17j/U/5lfbNxZdAStsnfdEg9DHIrLRfIkg/Qu1ahO5Dbf9p5W+7XtatDQJQwFcrgLQD37TLlUQAf2yXr1vPHZQp6WPiMvVA+nJSYVB6xzTfAeSYyBoP6Xupb+G6AJQSCH0MQgBKI6R4e+08qJW/iydn3gIIQHNWjUpqBZB24Kfpss1Vpfi+oScfl/xXztdpRGJcdlPtR/Qvj/4vbf5wV9nwsfULHGliU7MsBKAm3Xzqdn0cSilgHpUR1Mrfslblaw0BKOCtFUCuTVxpBIMJTkxcJpR0ymQV9Hl9f0+n1+lr1RaAtsdU2h6GPgaxApg2Itwrr50HtfK3eyQrtwgCUOAtrQDSDnxBl62Yhp58XPWf5MPeNj9CbCWIlCvRFIBZRbjNLoc+BiEAbUZLMXVpz6Na+bsYWtnuCgGYjVtkpRVA2oEv6LIV09CTj4v+S/p1j6QtXKwA7msl9iUi3EoDPq8k9DFoSwAWvVLblM9D96H2PKqVv22OU+26IAAFhLUCSDvwBV22YoqJywrGVJVIBZzmW+GpOpJTYY0VQKkIT9P1JOES+hi0IQCzrtQmsU/jRwjAL36tpm+XtrbQqS7gWG2kcmUQgALAEIDZ4IWefFwU8Da2cJv6NAzeAk4eC1IRnnyHz0qYCJfQx6BUAGZdqTVhb+rHpHKh+1B7HtXK30l+c+nvEIACb2gFkHbgC7psxTSviSuvJ/GGUFz0ny3xUS7B4TuAZsPChghPupOpcMlrDCa1V/PvWcdh1pVaU/a2+hy6D7P6z5SvVv42vb8L5SAABV7QCiDtwBd02YppHhNXnk/iPghAm1u4XNfvXtlEP7x7RdT1Z688jjq33ctKbLhSicYWsC0RXolRGuGy5a87afDk30dVLb/qeNq3dUtX0FtrR9Z5NIuf0rBv0Tz+kqqsq3nMo7IWyqyz+s/0rlr52/T+LpSDABR4QSuAtANf0GUrptoTV95P4j4IQG6jzQ97a/vQSqAJKtEQgDZFeLmupREufTq3ggCsEB9ZVmrTsD+8d0dBZH5hGvoY1M6DWvnbinNzqgQCUABaK4C0A1/QZSummhNXEU/ivgjAWAROengVbazdUdfsru1a0jWn9Ev1qy6aPrQSZMJKNASgbRHesItphMvQgzpCAFaIkSxiLg374QO6C6PzM/PQx6B2HtTK31acm1MlEIAC0FoBpB34gi5bMdWcuLJM3lY6VVKJ6/6zcTZS04e2/ZGlPi0BaFOEN+xXmtjHCmDlqMiyUpuGPVYAzUak9jyqlb/NeudGKQhAgR+0Akg78AVdtmKqKR6KeBL3aQXQigOrYPVBUwCyD2yI8Ia+TCNccAaw6ZGQ9rhE0s5DfLdbvjeI/u5rXa0MQ8151EoDhZVo50Gt/C3sdq7mEIAC3FoBpB34gi5bMdWcuIp4EocADO8lAm0BaGUglanERLic0K9L8C/xMBrpPJr2RbLf/mEDXXTPi026lo9bLJ1wHNl4EURzHtWKzzT1Sv2XdC+t/J10X5f+DgEo8IZWAGkHvqDLVkw1J640qyA2JuFyQEL3H/dZ04dWgkxYia8CkLvdlHDhvzc8AxriZ3xsCMC0K7V5P3yGPga151Gt/C2cenI1hwAU4NYKIO3AF3TZiqn2xGWyCjKsxs42DARgmJ8R8VkAVhIuv1u1iUbPW0G7ywRtaB/ytiUA00x4eR8/0Z5H0/Rdo6x2HtTK3xostOqEABSQ1Qog7cAXdNmKaR4TV9rtGysd+7yS0P2HFUCb0ZJPXUln1JJ+CzqfVtq9S97jECuAfvlPK3/bpaBbGwSggK9WAOU9cQkQZDLNQwCm3b7J1JEKRqH7DwLQZrTkU1fe4iSfXjV9l7zHYd7HT/KaR4vypbb/tPJ3Ubyy3BcCMAu1z220Akg78AVdtmKKicsKxkIrCd2Hvm8BNwyOvLcnCw3OAlfi8zx+EvoY1M6DWvnbhdg3bQMEoCmpMuW0Akg78AVdtmKKicsKxkIrCd2HoQlArAAeRX27tM1lzOR1/CT0MaidB7Xydy5BZukmEIACkFoBpB34gi5bMcXEZQVjoZWE7sPQBGDe25OFBmeBK4BxvzW+89iQaehjUDsPauVvF2LftA0QgKaksAIoIFXfFBOXNZSFVRS6D0MTgBwolbYn+W94C7iwoZT5xqGPQQjAzKFhbAgBaIyqcUGtJwjtwBd02YopJi4rGAutJHQfhigAYxGI7wAWOnSs3Tz0MaidB7XytzUH51ARBKAAslYAaQe+oMtWTDFxWcFYaCWh+zBUAchBw9uTv3tlE/3w7hVRDD175XHUue1ehcaTxs0xj2pQza9Obf9p5e/8CMnvBAEoYKgVQNqBL+iyFdPQxUPo/uMgCN2HIQvAavAf9zH0cRj6GNT2n1b+tpIkc6oEAlAAWiuAtANf0GUrppi4rGAstJLQfQgBWGh4Wbk55lErGAurRNt/Wvm7MGAZbgwBmAFabKIVQNqBL+iyFdPQxUPo/quGFSQIQCtDvdBKQh+HmEdl4aWVv2WtytcaAlDAWyuAMHEJnOKAaej+gwB0IMiETQhdPGALWBggDphrz6Na+dsBdMZNgAA0RtW4oFYAaQe+oMtWTENPPqH7DwLQyjAotJLQxyAEYKHhZeXm2vOoVv620vmcKoEAFIDWCiDtwBd02Ypp6MkndP9BAFoZBoVWEvoYhAAsNLys3Fx7HtXK31Y6n1MlVS8Ab7nlFrr++utp48aN1L9/f7rpppvoqKOOMsKvFUDagW/UOcVCoSef0P0HAag4OHKqOvQxCAGYUyAp3kZ7HtXK34pIrFdd1QLw/vvvp+9///vEInDo0KE0c+ZMuuOOO2jVqlW0//77J8LWCiDtwE/smHKB0JNP6P6DAFQeIDlUH/oYhADMIYiUb6E9j2rlb2UsVquvagE4ZMgQGjRoEN166611UA855BA69dRTadq0aYmgtQKoNPBnnTuQDty3dWJbfCqw5a+76MxZz0ZNvn/kENpn7z18an5iW996bzuNnPdiVC5E/3G/QvfhH97eQpf+6uXIh//6nRr6Wo99Ev3uU4HQ/ce+CH0chu7DUv89PvYo6tulrdUhppW/rTZSubKqFYC7du2ivffem375y1/SaaedVod5zJgxtHLlSlq0aFEj9Dt37iT+L744gHr27Em1tbXUtq294CwVgMr+R/UgAAIgAAIg4DQBCEAd91StANywYQN1796dnnrqKTriiCPq6E6dOpXmzp1Lq1evbkR84sSJNGnSpEb/blsAxjc48PJHdbyOWkEABEAABEDAAwJvXfv3Kq3ECiBR1QvAZcuW0eGHH14XYFOmTKG77rqLXn311cJWAOMb80ogLhAAARAAARCoVgK2t35jjhCAVSwAs2wBNxyACKBqnZLQbxAAARAAAZ8JIH9XsQDkwOWXQA477LDoLeD46tevHw0fPrzQl0B8HlRoOwiAAAiAAAi4TgACsMoFYPwZmNtuuy3aBp41axbdfvvt9Morr9ABBxyQGL8IoEREKAACIAACIAACzhFA/q5yAcgRyat/1113XfQh6JqaGrrxxhvp6KOPNgpWBJARJhQCARAAARAAAacIIH9DAIoCEgEkwgdjEAABEAABECiEAPI3BKAo8BBAInwwBgEQAAEQAIFCCCB/QwCKAg8BJMIHYxAAARAAARAohADyNwSgKPAQQCJ8MAYBEAABEACBQgggf0MAigIPASTCB2MQAAEQAAEQKIQA8jcEoCjwEEAifDAGARAAARAAgUIIIH9DAIoCDwEkwgdjEAABEAABECiEAPI3BKAo8BBAInwwBgEQAAEQAIFCCCB/QwCKAq+2tpbat29P69ato7Zt24rqgjEIgAAIgAAIgEA+BFgA9uzZk7Zu3Urt2rXL56aO3aXZ7t27dzvWJm+a8/bbb0cBhAsEQAAEQAAEQMA/AryA06NHD/8abqHFEIACiJ9++ilt2LCB2rRpQ82aNRPU1Ng0fjrB6qJVrI0qA2ddvnHt4AzO+RDI5y6IZ/8589rXtm3bqFu3btS8efN8OuTYXSAAHXNIacLkZWneZsb2sp6TcA5Ej21pzeAMzvkQyOcuiGdwzoeA7l0gAHX5Zq4dE0xmdKkMwTkVrsyFwTkzulSG4JwKV+bC4JwZXSpDcE6FK3VhCMDUyPIxQOCDcz4E8rkL4hmc8yGQz10Qz+CcDwHdu0AA6vLNXPvOnTtp2rRpdMUVV9Cee+6ZuR4YNk0AnPOJEHAG53wI5HMXxDM450NA9y4QgLp8UTsIgAAIgAAIgAAIOEcAAtA5l6BBIAACIAACIAACIKBLAAJQly9qBwEQAAEQAAEQAAHnCEAAOucSNAgEQAAEQAAEQAAEdAlAAOryRe0gAAIgAAIgAAIg4BwBCEDnXEJ0yy230PXXX08bN26k/v3700033URHHXWUgy31o0n8NvVvfvMbevXVV2mvvfaiI444gqZPn05f/epX6zrAX4WfNGkSzZo1i7Zs2UJDhgyhGTNmRPxxZSPA3K+88koaM2ZMFMN8gXM2lg2t1q9fTxMmTKDHHnuMPvroI+rbty/deeeddNhhh4GzHcT08ccf08SJE+nuu++mTZs2UdeuXen888+nq666qu6XIxDP2WAvXrw4ynEvvPBClOceeOABOvXUU1PNx/wm9qWXXkr33ntvNAaOP/74KHdW68+6ZfEEBGAWaoo2999/P33/+9+PAnno0KE0c+ZMuuOOO2jVqlW0//77K9453KqHDRtGZ511Fn3961+PJvWf/vSn9Mc//jFi2qpVq6jjLAinTJlCc+bMiZLp5MmTiSep1atXRz/1hysdgeeff57OOOOM6Fdsjj322DoBCM7pOJYrzQ8oAwcOjLiOHj2aOnXqRG+++SYdeOCB1Lt3b8SzHHFUA88HN954I82dOzd6EFy+fDldcMEF0dzADzWYN7KD5geXp556igYNGkSnn356IwFoMk9w7D/88MPRnN2xY0f6yU9+Qps3b45EZYsWLbI3roosIQAdczavPPGguPXWW+tadsghh0RPR7yigktO4N13342S5qJFi+joo4+OVqX49yDHjh0brarwxU+XnTt3joThqFGj5Detohq2b98exTA/xHCyHDBgQCQAwdlOEFx++eVR8lyyZEnZCsHZDueTTz45mgN4ZTW+WKzsvffedNdddyGe7WCmZs2a1ROAJvHLP5G63377RX4488wzo5Zs2LCBevbsSb/97W/ppJNOstS6sKuBAHTIv7t27Yoml1/+8pd02mmn1bWMnzZXrlwZCRZccgJvvPEG9enTJ1oFrKmpoTVr1kQrJytWrIhWVuJr+PDh1L59+2gFAJc5gfPOO486dOgQrZ4cc8wxdQIQnM0ZNlWyX79+UYJ7++23ozmhe/fudNFFF9GIESMiM3C2w/naa6+l2267jR5//PFoV+Cll16iE088MXqYOfvss8HZDuZGAtAkfp988sloy5dX/PbZZ5+6lhx66KHRYgkf58GVTAACMJlRbiX4CYYnc36653Nq8TV16tRIhPB2JC4ZAX66ZGHH22jxCsqyZcui7XY+V8UrgfE1cuRIWrt2LS1YsEB20yqyvu+++6JVP94ua9myZT0BCM52AoG58vXjH/+Yvvvd79Jzzz0XrV7zcZEf/OAHBM52OPNcwWdYeReAtxQ/+eSTaFuYf52JL3C2w7nhCqAJ13vuuSfajuedmtKLBXqvXr2isYArmQAEYDKj3ErEApAHwOGHH153X550eKmbX2LAJSNw8cUX06OPPkpLly6tOywcTzjMnw96xxevqKxbt47mz58vu2mVWDOrwYMHRysm/CTOV+kKIDjbCYQ99tgj4sw84+tHP/oR8bnLp59+uk6YIJ5lvPlh5rLLLoteVuAzgLwLw0L7hhtuIF7lRjzL+MbWlQRgU/FbSQCecMIJ0W4Or9ziSiYAAZjMKLcS2ALWRX3JJZfQgw8+GL3cwU+J8WWy5aDbsjBqZ7Z8dKH0ADavmvAE37x582gF+6CDDsJWu9DdBxxwAHGi45fD4ovPDPPKK69iI56FgD835/NkfN6SHxrjixnPmzcvehgHZzucGwpAE67YArbEfjevc+NyhgC/BMKfcuAD9PHFZ3542xIvgWRzE4c4iz/+1MDChQuj83+lV3zoeNy4cTR+/PjoTyzG+UURvARiznzbtm3Rlnnpxds0Bx98cPRyDa+i8BY7OJszLVfye9/7XrQyXfoSCDN99tlno1UpxLOMb2zNb5ay4OO3TeOL5+DZs2fTa6+9Bs52MFd8CaSpeSJ+CYTFOH9tgC/+nAx/AgYvgZg7BiuA5qxyKRl/BoaXsHkbmL9Ld/vtt9Mrr7xC/OSPKz0BPiDPWwYPPfRQvW//tWvXLvouIF8s9OLJnQUin7tksYjPwKTnXWpRugUMzjKWsTVv9fIZYT7ozsmPzwDycQWeK8455xzEsx3M0Tf/nnjiieg8GT+8vPjii8Tngi+88MJovkA8ZwfNXwrgl/H44hfveFudP2vEL4/x585M5mMW5o888kj0GRi2428Cvv/++/gMTAq3QACmgJVXUV79u+6666InGn5Lld+m5M+V4MpGgLcYyl38JM+TPF/xB115si/9EDTzx5WdQEMBCM7ZWZZacuLjlxFef/316DgDvxASvwWMeLbDmFe0f/azn0U7B++88060es1v/1599dXE5zDBOTtnfrhmwdfw4rOVLOhM5okdO3ZEZzT54b70Q9C8dY/LjAAEoBknlAIBEAABEAABEACBYAhAAAbjSnQEBEAABEAABEAABMwIQACacUIpEAABEAABEAABEAiGAARgMK5ER0AABEAABEAABEDAjAAEoBknlAIBEAABEAABEACBYAhAAAbjSnQEBEAABEAABEAABMwIQACacUIpEAABEAABEAABEAiGAARgMK5ER0AABEAABEAABEDAjAAEoBknlAIBEAABEAABEACBYAhAAAbjSnQEBEAABEAABEAABMwIQACacUIpEAABEAABEAABEAiGAARgMK5ER0AABEAABEAABEDAjAAEoBknlAIBEAABEAABEACBYAhAAAbjSnQEBEAABEAABEAABMwIQACacaor9emnn9KGDRuoTZs21KxZs5TWKC4lsHv3btq2bRt169aNmjdvDr9IgVqyr+QXrh5jxhLkjNVgzGQEp2wGvygDzlh9U3NZxiqdNYMATOmat99+m3r27JnSCsVtE1i3bh316NGjrlr4xTbhbPU19AvXAt9kY2nbCmPGNlE79cEvdjjarqXcXGb7HkXXBwGY0gO1tbXUvn17WrRoEbVu3TqlNYpLCWzfvp2+9a1v0datW6ldu3Z11cEvUrIy+0p+4VrhGxlbqTXGjJSgjj38osNVWmtTc5m0btfsIQBTeuSDDz6IhMcLL7wAAZiSnY3iPDgPO+ywSFS0bdu2rkr4xQbd7HVU8gvXCN9k52rDEmPGBkX7dcAv9pnaqLGpucxG/S7VAQGY0htIZimBWS6OSdMyUEvVQQBaAqlQDcaMAlQLVcIvFiAqVAEBqAA1lCohAIv1JCbNYvlXujsEoJt+4VZhzLjpG/jFL7+42VpZq7ACmJIfBGBKYJaLY9K0DNRSdRCAlkAqVIMxowDVQpXwiwWIClVgBVABaihVQgAW60lMmsXyxwqgm/ybahXGjJs+g1/88oubrZW1CiuAKflBAKYEZrk4Jk3LQC1VhxVASyAVqsGYUYBqoUr4xQJEhSqwAqgANZQqIQCL9SQmzWL5YwXQTf5YAYRf/CPgZoshAN30ixOtggAs1g0QgMXyhwB0kz8EIPziHwE3WwwB6KZfnGgVBGCxboAALJY/BKCb/CEA4Rf/CLjZYghAN/3iRKvyFoC/+MUv6IknnqCHHnqoYv8vNU43CgAAEjdJREFUv/zy6GO7t9xyS8UyXMf06dOjn+U699xz6ZBDDqGpU6fS8uXLneBq2ghfBKANv/3mN7+p5yOTOk052i7n4hlAE14mY8cGq69+9as0Y8YM+va3v22julR1+DJmUnWqpPCzzz5LP/jBD+j555+v93H4rPXlZRe6X/LiaPs+EIC2iQZUn1QArlixgs455xw64ogj6M4770wkYyuJ8f3+8R//kb7//e9Tq1at6Etf+hJ9+OGH1LFjx8Q2uFSgqEmzCL81FIDsr127dtE+++zjkkuituQhAIvwgS3Q7777bvQLQnvssYdRlQ19b2RUoVCeY4YF9QMPPBC1hOeYLl260IknnkiXXHIJ7b333pJuVLTlMcG/DLTvvvtSs2bNVO6hUWmefsna/tifP/nJT2jkyJF11fCCwsUXX0yrV6/OWnU9u+OOOy4S8eeff76V+iSVQABK6AVuKxWAP/3pT6OJ8Fe/+hU9+uij1K1btyaJ2RCALBwGDRpEc+fOpW9+85u5eognZ9OkZ9KwoibNIvxmUwSYsJWUyUMAFuEDCROJrU3f5zlmWDC89957NG3aNPr444+jHYarrrqKTj31VJo0aVI9JP/3f/9HX/7ylyWYvLbN0y9ZQbE/f/vb39Kee+4Z7UTFv78OAZiVqFt2+AxMSn9IBOBf//pXOvLIIyPxx8Kud+/e9P/+3/+r14JZs2bRnDlz6KOPPqK//du/pQ4dOtCSJUvqtoA/+eQTuu666+jXv/41tWjRgk4//XR6//33adu2bWW3gOPtkdKb/Od//ietX7++0RYwbyHfddddtGPHDvq7v/u7aKWp9N68enjwwQcTJ+L4uuiii6Jtl2uvvTb6J36S+853vkN//vOf6Xe/+1205cVbz7x682//9m/0xz/+Mar3hBNOoB//+MepVwWKmDSL8BuzTNoCjrcv+beRZ8+eTZxQ2W9XXnllXWJlAX7TTTfRww8/HMVInz596NJLL6UhQ4akjPymi2sLwKJ9wPF9/fXX04YNG2jw4MHR2OnatWsdlHvuuYf+4z/+gzZt2kTdu3en0aNHR6Invkq3gPkYxvHHHx/NATze/vCHP9ABBxwQCaSBAwdSuTHL8wSvomW58hwz5bbUWQAuXLiQzjzzzEhE8Dxy6623RnPQ//7v/0arxzyn8d927txJNTU1UQzzXLNmzZpoHmQRwvNlfHG8M7vf//739NxzzzXaAl6wYAH9+7//O61du5Y6deoUHXu58MILy/oj/kf2K9+Xd0p43LDPH3/88Wh1cb/99ovaP2rUqCwuKGuTp1+yNpr9uXXr1ojjscceS+PHj4+qaigAm5rfH3zwwSi2eWX4wAMPjOz/5V/+hZYuXRr9GzNlH5ZetlYWs/QbK4BZqFWJjUQAsvC79957I/H2P//zP9Eg4Aks3rbgSY4H2DXXXEOc1PncH09yPXv2rBOAt99+O82cOZOmTJlCBx10UJR0HnvssWhlr9wZQJ7IeKIdNmxYlHA4wfBT3COPPFJPAP73f/939KTO9+bVQl6d5Em2R48edfc2FYA8YbIwjM87saA866yzaMyYMXTMMcfQ5s2bo77zBM8rBWmuIibNIvxmKgBZZJ988slRAmTRPW7cuCiJnXHGGRFW3rph/7Po40TI5WNBGE/GafhXKqstAIv0wdVXX00s4Hh88IoVJzN++LrvvvsiHMyUuV9xxRXR0Q4WOywWeWzGK+7lBOBXvvIVmjBhQiT+brzxRnr55ZcjwfHpp59G8wQLmPnz50f34F0DPrqR5cpzzJQTgJMnT44eQFiEMROeXzgumzdvHnH93ve+F81JvKXYpk0buv/++6OHHxZx7du3jwTZ0UcfTWPHjq3rPv8bP0zzQ2TDM4DM8bvf/W70cM0PRC+++GLkM57b2I6vcmcySwUgH8/hufdf//VfI6G/cePGSNzzWLN15emXrG2O/XnaaadFPuP45G39UgHIYi1pfue5n+chHjPLli2L8gM/NH3ta1+LBObw4cOjOSuet1hwF3VBABZF3oP7SgQgDxJ+mj3vvPOi7RGewG644YYoafDFf+eJqXSrhAcEPxXHL4GwDSf7+DwG18OrCf3796/4Egi3+etf/zrxyl+88tNwdYnvw0/enOzi6+yzzyZeeYnvbSoA+QUTPvAeXyxqW7ZsST//+c/r/o23hri+lStXRtsLplcRk2ZRfjNZAeQnZxYgLEj44omWEysLChaEfP5q0aJF1Llz5zrEfM6GJ15OnrYubQFYpA9Y2P3Xf/0XHXrooRGuN998MxIWv/zlLyOO3DZeWeWHmvhiP/AqPq/oNxQc8QogCyMWKny98cYb9Pd///d1K10+bwGXvpDGq5sjRoygww8/PFrB44fXxYsXRzsbfD399NORUOP/W3pUhHcI/vmf/zladeMdkXnz5kWig68//elP0QMtP6TyQ3BDAchCZcuWLZHYjC9eYeRxwDYN/RGXKRWA7JvXX389urfWucIi5rK0471U0LMv2Ie8+l0qAE3md14U+Id/+IdoFZHnK34Y4FXy+MIZwLSesVMeW8ApOWYVgLyVccopp0STEB9W5osFEQ8M3hrli0Uab6+Wbh3xYOMJjkUYb+HxJMWTIZeNL35y3r17t0gAlrs3r84988wzqQUgJ7XSwc2JjbcQSs/7cHs5QTbc2klyR96TZpF+MxGAvJoaiwxmx4nrtddei8Q+rwzzqknDw/e8KswJllcCbV2aArBoH/zsZz+LtmljkR2PVV5p5ZWRb3zjG9HqH//v+OLztuwDXuGvJABjAcl/53mA64nHts8CkHcT+KGOH07jB1R+qOUVH14J5FWk+Lrjjjui+Y8fEEsv3jXgLdvLLruM3nnnnWjngO0HDBgQrYw++eSTxFuLfDUUgOwHfiguPV7DgoXHwksvvRT5MWkF8JVXXonuzyuQRx11VHR/fvi2eeU9l2Vpe6kA5LesefGC/fvWW2/VvQRiOr/zlu8//dM/RbtQd999d73xBAGYxTtyGwjAlAyzCkB+AuVthdIkwiKI35TjgcFbIK4JwFLxyZh45bFv377RVlh88UokP82XngFs+DYXr3oOHTo0WvFrePH2SpqXRPKeNIv0m4kAbPj5Hz4a8Oqrr0bbVyyueeuXt/tL4459wKLQ5jaLpgAs2gcsAPnsKq+sxlfpWGXhxmKw9MGt4apVuS1gFjC8Ws5Xw1V6nwXgX/7yF5o4cWI0t/Gxg/jBr9wLbfzwwqKX47XhxdvB8UrhBRdcEK0+8dxz0kknRSuD8Zm+hgKQ/cDHT5oSgHz8hNvDD0LxxeKSd0DibWKOaV6t5C1L3ornnRoWn7auvOeyLO1uuKXP8z37lRnFbwGbzu+8K8FHmHgLmUVk69at65oEAZjFO3IbCMCUDLMIQH4K/ta3vhVtabAQKr34YDcLI14S560knph48owvnuj4abh0C5ifwnhbhS+umye7fv36iVYAeQv4b/7mb4iTXXzx2Rx+gzi+Nz9Bs2i9+eaboyL8Qgrfm7eVmxKAvCXDbwbyqoj0ynPSLNpvUgEYb5Xx0zavHGteWgLQBR/w6l7pal38YkLSFjCPW97y5CutAOSVMhYjfH5NeuU5Zpr6rmI5AfjUU09FcxmvCvJ540oXjwU+j8dHS3he4nOW8bEG0y1gFnP8MMQXizkWMPxJLr54RYuFJe96xAKwtC38MhzP33wvXhW0ceXpl6ztbehPfrjkFVYW5Lygwef/TOZ3fkmEFwbYf7ziyw8+/HJgfDUU9Vnba8MOZwBtUAy0jiwCMN5+4HMu/FRbevFTEW8L82oAr9jwofD4JRBOArySUPoSCD8x87YJr/TwIXL+O59rqfQSCN/L5AwgP5Gx+GPxyUv03BYe4HzveKuFD/Cy0OOtQ/53FnR8b36KbkoA8qTBQpYnVhaae+21V3SOip+sSwWnScjkOWkW7TepAGSevALIky9P5Dzp8tko3tZnQcIPJbYuLQHogg9YiDE7Xn3i1Q8+68cPQvyyAl9xG/n4Bp914xe8+CUQfokqPnObVgCyz/gMLo9vtuUxw/9lufIcM2kFIHNkEcYPmhyrvXr1irZ8eU7kh0t+KOWL+8Cijf/OXxFgLvHVUADy9i1/iSB+CYTPGfO8VvoSCJ9/5XmJ/cQv3bC4fOGFF6JjOTxPcf28Qs4P5Lzyy3Mut4lFZOlKcBZ/xDZ5+iVrO8v5k8/88Yoon01nAZg0v3M/41VZro/PVvLXK1gA8uohX7yay8cG2E+8Yhyv/GZtt8QOAlBCL3DbLALwhz/8YTTJlJ7VijHxZMUTDid7fpHjtttuiyYfHlz8VMQfauYt4ngVjldEeOBweZ6IeCBxUq/0GRhTAcjl+OmMt2L43jwweZuQt77iRMefGWHhyWfLeEuRXybgybXhZ2DKfdCTz1CxcIxXNFhA8kF6ZpPmynPSLNpvNgQg+4w/ucEinhMrr17wVhevPLOwsHVpCUBXfMDHIXgrmt8E5Tf0+f/nz73EV5bPwDS1Bcz1smDhRMtvSfr8GZiYUaVvmnLs8NzAb/3yXMZnpHnFmleWSj+1wy/WMA9mz/NeJQHI/176GRgWcrzDwufP4ou3qXnbnoU2b1Pz/+b7xZ+B4Zd+2Kd8dpnnWRaiLHx4p8XWledclrXN5QRg/FUJPkscf66lqfmdV9D5zWz++kV83IfPx3K+4YUHXsnlPMIPWrxrUVpv1nZL7CAAJfQCt80iAH1Fwsv8PBnzU7Irlw+Tpius8myHlgDMsw/l7mXzLF5RfcGYKYp80/eFX/zyi5utlbUKZwBT8gtVAPIbubzFy2+68RMvb+3yExpvY8WfqUmJSqU4Jk0VrOJKIQDFCNUqwJhRQyuqGH4R4VMzxgqgGlr/Kw5VAPKBdd5uW7VqVbQEz2dt+FMu/B05ly5Mmi5544u2QAC66RduFcaMm76BX/zyi5utlbUKK4Ap+YUqAFNiKKw4Js3C0Dd541AFoJu007UKYyYdr7xKwy95kU53H6wApuNVVaUhAIt1NybNYvlXujsEoJt+wQog/OIuATdbBgHopl+caBUEYLFugAAslj8EoJv8m2oVxoybPoNf/PKLm62VtQpbwCn5QQCmBGa5OCZNy0AtVYcVQEsgFarBmFGAaqFK+MUCRIUqsAKoADWUKiEAi/UkJs1i+WMF0E3+WAGEX/wj4GaLIQDd9IsTrYIALNYNEIDF8ocAdJM/BCD84h8BN1sMAeimX5xoFQRgsW6AACyWPwSgm/whAOEX/wi42WIIQDf94kSrIACLdQMEYLH8IQDd5A8BCL/4R8DNFkMAuukXJ1oFAVisGyAAi+UPAegmfwhA+MU/Am62GALQTb840SoIwGLdAAFYLH8IQDf5QwDCL/4RcLPFEIBu+sWJVtXW1lL79u1p0aJF1Lp1ayfaVE2N4MH5rW99i7Zu3Urt2rWr6zr8UmwUVPILtwq+cdM38Av8UiwBN+/e1FzmZouztwrfAUzJ7u2336aePXumtEJx2wTWrVtHPXr0qKsWfrFNOFt9Df3CtcA32VjatsKYsU3UTn3wix2OtmspN5fZvkfR9UEApvTAp59+Shs2bKA2bdpQs2bNUlqjuJTA7t27adu2bdStWzdq3rx5XXXwi5SszL6SX7hW+EbGVmqNMSMlqGMPv+hwldba1Fwmrds1ewhA1zyC9oAACIAACIAACICAMgEIQGXAqB4EQAAEQAAEQAAEXCMAAeiaR9AeEAABEAABEAABEFAmAAGoDBjVgwAIgAAIgAAIgIBrBCAAXfMI2gMCIAACIAACIAACygQgAJUBo3oQAAEQAAEQAAEQcI0ABKBrHkF7QAAEQAAEQAAEQECZAASgMmBUDwIgAAIgAAIgAAKuEYAAdM0jaA8IgAAIgAAIgAAIKBOAAFQGjOpBAARAAARAAARAwDUCEICueQTtAQEQAAEQAAEQAAFlAhCAyoBRPQiAAAiAAAiAAAi4RgAC0DWPoD0gAAIgAAIgAAIgoEwAAlAZMKoHARAAARAAARAAAdcIQAC65hG0BwRAAARAAARAAASUCUAAKgNG9SAAAiAAAiAAAiDgGgEIQNc8gvaAAAiAAAiAAAiAgDIBCEBlwKgeBEAABEAABEAABFwjAAHomkfQHhAAARAAARAAARBQJgABqAwY1YMACIAACIAACICAawQgAF3zCNoDAiAAAiAAAiAAAsoEIACVAaN6EAABEAABEAABEHCNwP8H94oh8ai6tHkAAAAASUVORK5CYII=\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "quadtree = Quadtree(inp_points, (A, B), 4, True)\n",
    "\n",
    "build_plot = quadtree.visualizer.create_build_plot()\n",
    "build_plot.draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "### Query QuadTree\n",
    "<font color=\"blue\">blue points</font> - points contained in the quadtree <br>\n",
    "<font color=\"green\">green rectangle</font> - searched area <br>\n",
    "<font color=\"green\">green points</font> - found points <br>\n",
    "<font color=\"red\">red rectangle</font> - area of the current node <br>\n",
    "<font color=\"red\">red points</font> - points found in the searched area in current node <br>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(60.679183467741936, 8.166743259803912)\n",
      "(81.64692540322581, 8.166743259803912)\n",
      "(81.64692540322581, 15.213311887254893)\n",
      "(81.84853830645162, 6.328507965686267)\n",
      "(78.01789314516128, 19.502527573529402)\n",
      "(78.82434475806451, 8.473115808823518)\n",
      "(62.292086693548384, 5.409390318627441)\n",
      "(57.85660282258064, 19.80890012254901)\n",
      "(58.86466733870968, 13.375076593137248)\n",
      "(55.23563508064517, 9.085860906862738)\n",
      "(10.074344758064516, 17.664292279411757)\n",
      "(33.86466733870968, 9.392233455882344)\n",
      "(32.85660282258064, 18.583409926470576)\n",
      "(44.953377016129025, 13.98782169117646)\n",
      "(36.284022177419345, 12.762331495098028)\n",
      "(31.848538306451612, 13.068704044117634)\n",
      "(26.606602822580644, 15.519684436274499)\n",
      "(37.09047379032258, 15.213311887254893)\n",
      "(37.292086693548384, 10.617723651960777)\n",
      "(12.493699596774192, 14.294194240196067)\n",
      "(14.106602822580644, 19.196155024509796)\n",
      "(8.058215725806452, 12.455958946078422)\n",
      "(18.34047379032258, 7.553998161764692)\n",
      "(24.59047379032258, 13.98782169117646)\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_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img src=\"data:image/png;base64,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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "boundary = ((2, 2), (90, 20))\n",
    "[print(point) for point in quadtree.query_range(boundary)]\n",
    "\n",
    "query_plot = quadtree.visualizer.create_query_plot()\n",
    "query_plot.draw()"
   ]
  }
 ],
 "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": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}