getting_started.ipynb

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  {
   "cell_type": "markdown",
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   "source": [
    "# Getting Started"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we go through a simplified motor simulation to get you started. Let's start by importing the solidpy module."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "from solidpy import Grain, Motor, Propellant, Burn, Outside"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If you are using Jupyter Notebooks, it is recommended to run the following line to make matplotlib plots which will be shown later interactive and higher quality."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib notebook"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Setting Up a Simulation"
   ]
  },
  {
   "cell_type": "markdown",
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   "source": [
    "### Creating your rocket propellant"
   ]
  },
  {
   "cell_type": "markdown",
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   "source": [
    "Here we need to define some of the properties of our chosen propellant.\n",
    "Among them is the specific heat ratio ($\\gamma$), propellant density ($\\rho$), molecular mass of the products of combustion ($M$) and adiabatic flame temperature ($T$). These can be easily obtained for any given composition from a thermochemical equilibrium solver such as [PROPEP](http://rocketworkbench.sourceforge.net/equil.phtml).\n",
    "\n",
    "We'll also need some parameters regarding how the propellant burn rate behaves. Solid propellant burn rates are commonly modelled solely as a function of the local static chamber pressure, following semi-empirical relation known as Saint-Robert's law or Vielle's Law:\n",
    "\n",
    "$r = a{P_0}^n$\n",
    "\n",
    "Where $P_0$ represents the chamber stagnation pressure. The $a$ and $n$ are respectively called the *linear* and *exponential* ballistic coefficients and should be obtained empirically for your given propellant formulation and manufacturing process. Note that a value of *n < 1* is required for a stable burn.\n",
    "\n",
    "Here we'll create an instance of the KNSB (65% KNO3, 35% sorbitol) propellant, widely used by Projeto Jupiter's propulsion team. Burn rate coefficients have been sourced from [Richard Nakka's Experimental Rocketry Site](https://www.nakka-rocketry.net)."
   ]
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   "execution_count": 34,
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   "source": [
    "KNSB = Propellant(\n",
    "    specific_heat_ratio=1.1361,\n",
    "    density=1700,\n",
    "    products_molecular_mass=39.9e-3,\n",
    "    combustion_temperature=1600,\n",
    "    burn_rate_a=5.8,\n",
    "    burn_rate_n=0.22\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Alternatively, SolidPy allows you to input a customized *Burnrate (mm/s) x Pressure (MPa)* curve by passing on a CSV file that will be interpolated. This allows for more flexibility regarding propellant behaviour, and for many formulations there is raised data from experiments available online."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
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   "outputs": [],
   "source": [
    "KNSB = Propellant(\n",
    "    specific_heat_ratio=1.1361,\n",
    "    density=1700,\n",
    "    products_molecular_mass=39.9e-3,\n",
    "    combustion_temperature=1600,\n",
    "    interpolation_list=\"data/burnrate/KNSB.csv\"\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That's everything required to fully characterize the propellant that will be used in your motor!\n",
    "You can now access some of the instance's methods, such as calculating the theoretical value for characteristic velocity ($c*$), in m/s:"
   ]
  },
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   "source": [
    "KNSB.calc_cstar()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Setting up your grain geometry"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With the composition of our propellant well-defined, we'll now construct the physical propellant grains. This will involve mostly geometrical parameters such as outer diameter, height and port shape. \n",
    "\n",
    "For now, SolidPy only supports tubular geometries with an inhibited outer surface, known as the *BATES* grain. There are plans to implement more complex port geometries in the near future, through the employment of [fast-marching methods](https://en.wikipedia.org/wiki/Fast_marching_method).\n",
    "\n",
    "Here, we'll define the grain of the *Leviatã*, a class L motor designed by Projeto Jupiter and static-fired at Apr 03, 2022 at Pirassununga USP campus:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "Grao_Leviata = Grain(outer_radius=71.92/2000,\n",
    "            initial_inner_radius=31.92/2000,\n",
    "            initial_height=None,\n",
    "            geometry=\"tubular\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can see that both radius have been passed with the *D/1000*, where D represents the diameter value in milimiters. Since SolidPy standardized on receiving all inputs in [International Units](https://en.wikipedia.org/wiki/International_System_of_Units), this practice allows for easier transfer between the code and other software such as CAD.\n",
    "\n",
    "Note that also that the *initial_height* has not been passed. However, if we check the respective attribute in the instance we created:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Grain height: 123.84 mm\n"
     ]
    }
   ],
   "source": [
    "height = Grao_Leviata.height\n",
    "print(\"Grain height: {} mm\".format(height*1000))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The Grain classes defines the grain height as an optional parameter. If *None* is passed, SolidPy employs a method which calculates the optimal height in order to make the $K_n(t) = \\frac{A_b(t)}{A_t}$ curve symmetric. This allows for a neutral burn profile, which is usually desired during motor design. Don't let that fool you though, you're free to create a grain as tall as you want!\n",
    "\n",
    "By now, we can combine our two previously defined objects (Propellant and Grain), and obtain a very useful piece of information: the mass of each of our grains!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Grain mass: 686.79071775287 g\n"
     ]
    }
   ],
   "source": [
    "density = KNSB.density\n",
    "volume = Grao_Leviata.volume\n",
    "mass = density*volume\n",
    "print(\"Grain mass: {:.2f} g\".format(mass*1000))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Creating a Motor\n",
    "\n",
    "To create our solid motor, we'll be using the *Motor* class, and the required arguments must given. These are mostly related to **combustion chamber** and **nozzle** geometric properties, as well as the **number of grains** and the **Grain** object itself.\n",
    "\n",
    "Again, we'll be creating the previously designed and built *Leviatã* motor, and placing 4 of its grains inside it:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "Leviata = Motor(\n",
    "    Grao_Leviata,\n",
    "    grain_number=4,\n",
    "    chamber_inner_radius=77.92/2000,\n",
    "    nozzle_throat_radius=17.5/2000,\n",
    "    nozzle_exit_radius=44.44/2000,\n",
    "    chamber_length=None\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Just like when creating our grain, the length parameter is optional, and if not passed will be calculated by adding each grain height."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Firing it up!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we get to the icing on the cake part of the simulation. All up until now, we've been mostly setting up the required inputs to operate our thermodynamic model. From now on, we can start plugging in numbers, solving (differential) equations, and of course, obtain some beautiful values and plots!\n",
    "\n",
    "This will be done through the Burn class, which is mostly self-contained. It requires only two inputs: your defined Motor object and Propellant composition:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "Simulation = Burn(Leviata, KNSB)\n",
    "Simulation.post_processing()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total Impulse: 3015.79 Ns\n",
      "Max Thrust: 1258.21 N\n",
      "Mean Thrust: 1205.69 N\n",
      "Max Chamber Pressure: 40.11 bar\n",
      "Mean Chamber Pressure: 38.44 bar\n",
      "Propellant mass: 2635.01 g\n",
      "Specific Impulse: 116.67 s\n",
      "Burnout Time: 2.50 s\n"
     ]
    },
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       "            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",
       "            /* 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",
       "            evt.data.type = 'image/png';\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",
       "                evt.data\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.which === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.which;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which !== 17) {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    if (event.altKey && event.which !== 18) {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    if (event.shiftKey && event.which !== 16) {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\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\", \"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.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",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['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": {
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\" width=\"400\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "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",
       "    // 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",
       "            /* 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",
       "            evt.data.type = 'image/png';\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",
       "                evt.data\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.which === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.which;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which !== 17) {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    if (event.altKey && event.which !== 18) {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    if (event.shiftKey && event.which !== 16) {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\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\", \"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.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",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['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>"
      ]
     },
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     "output_type": "display_data"
    },
    {
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EIvein3nQtTOqfXaXvbIznAJ09BcOxAl224lXAPDnFvUIayGBKIhILOSCWuOYbl2rbIjXpfE6ZLt8DU0v2PNghnVeRO5u8bbiQLibcL/lW9H0OLTEOe3rLeuPHhROfEcSSLYVsyTQdtumxu1tUuV/Cm+j0WvBKshAVME5GyVrBDIzOSotmIQOckSs5ytaqfNTry5zGXHcS0qVM5ATL1m0T+8Xbudb/D8fU+EEJFvMc1KBignncw0rPgG44WmsUgS8DsCEqV6oxaaft3hf7UVhMtPxJKrll/7Ilg1j4ry4OnYXBQQi1612AZ9S7tfWpamDp4P1fagy/7zy6rlMtMopR1eKqSFWmin7T+X5SomEiAB3yUgB3rl4OKMrWe00/AXI3ZzBWqbXTpWyY0Xyufw2DJ0bI9renqJMxA9lJzkkZ0bP28+iUnrTzzh15DZRltty+17DQtp17jyRLgJxHyUBGxL4Kx2nfO0zac0MTkdceGabH5pXiZALXGV0VYazCxPU0As6nqrQcvhJLmx7y8tRHrofzf1ycGkynkzaJFBU6KeNp2NqxFCLepSVkMCPkNAViB+127xnLLxBI5p95w4kgQtlWjB8pMzvftXO1s9rhkBzhmITmrh9x+oSKBTtHvBgyKFR8irvSQ96+bHc1pYdB7y0wmT2UggDhKQLfqbjl3RxOSsOhQscescSbYCf/liabdi1FFALHpJvAla9ohPWn8cU7RwCI6LmFSANu1Sm9baemdlbTeVp51nFmFjNSRAAl4iIMvbSzURmbvrLDYevQK55XP9B3Uhd/HoTd4c1/Ta4CofZyAxEJI94X1nB0VMS7OkTqKCF7bVHOK+GiLa1QvBv5MACXiWgGwJlh+JLuFOooC4Q8tEXm+AXqj5N975bZe6a0DEon+TwmimLVNJIEMmEiABEvA2AW+Ma562mTOQaIjKt4X6Y9Yi/P5DPKNdSDOyZUnGovL0m8fySIAEYiRAAdHwjB8/Xv2cPHlSwSpWrBgGDRqEZ555Rv137dq1sXbt2idAvvHGG5gwYYLu18vToPvMClKOsEp50mP6a5XdWrfUbTQzkgAJkEAMBDw9rnkDttdnIAsWLECCBAlQoEABLbbMI0ydOhWjR4/Grl27lJiIgBQsWBDDhg2LaF/y5MmROrX+Q3eeBH0p9A4qf7pSHRD6o0c1dWqciQRIgASsJuDJcc1btntdQKIzPH369EpEunTpogSkdOnSGDt2rOE2ehL0TxtOYNhf+9VlM/O6VzNsEx8kARIgATMEPDmumbEjpmctFZAHDx5g9uzZ6Nixo5qBFC1aVAnIvn371Owka9asaNasGQYOHAiZhehNngTdafJWrNFCkQx4tgi61sir1wTmIwESIAGPEvDkuOZRwyIVZomA7N27F1WqVMGdO3eQMmVKTJ8+HU2aNFFmTJw4EYGBgQgICMCePXvwwQcfoGLFipg7d67TNoeHh0N+HElA58yZEyEhIW4tfUWtQA4ClR62TIUlmN+zGkpqcayYSIAESCA2CFBA/qN+9+5dnD59Wg3wc+bMwaRJk5TjXGYgUdOqVatQr149HD16FPny5Yu234YMGYKhQ4c+9TezAnLschjqfbFWBUHcO6QRt+zGxqeGdZIACSgCFBAnL0L9+vWVOHz//fdP5bh586aapSxZsgSNGjWKtgRvzUCW7buA16ftQPHsqfFXrxp8jUmABEgg1ghQQJygr1u3LnLlyoUpU6Y8lWPjxo2oXr06goKCULJkSV2d5ynQE9cdw6eLDqoDg9+0K6OrbmYiARIgAW8Q8NS45g3bHGV63QfSr18/deZDBCM0NFT5P0aNGoWlS5cib968Ef6QDBkyKB9I7969kSNHjqfOhsQEwVOg+83do+L8v1WvAN5tUNCb3Fk2CZAACcRIwFPjmjcxe11AZKvuypUrcf78eaRJk0bNKsRR3qBBA5w5cwYvv/wygoODIUtX4ghv0aIFBgwY4JYz3FOg2//wt4qmOaZNKRXPn4kESIAEYouAp8Y1b9rvdQHxpvGOsj0Fut4Xa1TgxOldK7kd+MyKdrIOEiAB/yHgqXHNm8QoIJHolhiyVF0QteLdWsifOaU3ubNsEiABEuASlh3eAU8o9e27D1Bk0BLVnD1DGiJ10kR2aBptIAES8FMCnhjXvI2OM5D/CJ+6chO1Rq9RZ0AODGts6i5jb3cayycBEoj7BCggFvWxJ0BvO3kVL0zYjMAMybG2bx2LLGc1JEACJBA9AU+Ma95myxnIf4TlDuM3f9mBsloQxbkMoujt947lkwAJuCBAAbHoFfEE6Fnbz+D9OXtQp1AmTO5c0SLLWQ0JkAAJcAYSq++AJwRk0vrjGL7wAJ4vHYCv2vIUeqx2KCsnARJgLCyr3gFPCMiY5Yfx9cojeKVyID5uXtwq01kPCZAACURLwBPjmrfR0gfyH+Eh8/dhyqaT6FEnH/o2Kuxt7iyfBEiABGIkQAGx6AXxBOh3Z+3G3J3/oN8zhfFGrejDyFvUHFZDAiRAAlzCsuod8ISAdJ26HSsOXMSIliXQrmIuq0xnPSRAAiTAJazYfAc8ISBttDMgW7WzIOPal8WzJbPFZnNYNwmQAAlwBmLVO+AJAWk8dh0OXgjFL10qoXqBjFaZznpIgARIgDOQ2HwHPCEg1UetwtlrtzGve1WUyZUuNpvDukmABEiAMxCr3gFPCEj54cvxb9hdLH2nJgplTWWV6ayHBEiABDgDic13wBMCUlSLxHtLi8i7TouDlUuLh8VEAiRAArFJwBPjmrftd3oO5MSJE1i/fj1OnTqFW7duIVOmTChTpgyqVKmCpEmTetsut8o3C/rRo0fI238RtP/Dto/qI1OqJG7Vz8wkQAIk4GkCZsc1T9sTXXlPCcivv/6Kr776Ctu3b0eWLFkQEBCAZMmS4erVqzh27JgSj5deekldSxsYGGiFjS7rMAv6zr0HKDzw8V0gwUMbIWWShC7rZAYSIAES8CYBs+OaN21zlP2EgMgMI3HixOjYsSOaNWum7iiPnMLDw7F582bMnDkTv//+O7777ju88MILVtgZYx1mQV+7eRdlPl6u6jj2aRMkiB8v1ttEA0iABPybgNlxzQp6TwjI0qVL0ahRI131XrlyBSdPnkS5cuV05fdmJrOg/7l+G9VGrkLihPFxePgz3jSVZZMACZCALgJmxzVdlZjMFK0P5P79+5g+fboSE1nGsnsyC/ropTDUH7MWaZIlQtDghnZvLu0jARLwAwJmxzUrEDl1oidPnhwHDhywjZ8jJhhmQe89G4Jm325AtjRJsblfPSu4sw4SIAESiJGA2XHNCrxOBaR27dro3bs3nn/+eSvsMFWHWdBbT1xFm+83I2/GFFj1Xm1TtvBhEiABEvAEAbPjmidscFWGUwGZNWsW+vXrp0RE/BwpUqR4oqySJUu6Ktuyv5sFvebQJXSavA3FAlJj4Vs1LLObFZEACZCAMwJmxzUryDoVkPjx4z9Vf7x48bSzEo8g///gwQMr7NNVh1nQS4LPa/eh70T5wHSY062qrjqZiQRIgAS8ScDsuOZN2xxlOxUQOUAYU9J7BmT8+PGQH9mxJalYsWIYNGgQnnnm8W6nO3fuoE+fPmprsGwTFse9bA92x3lvFvTcnWfx7qwg1NCCKE7TgikykQAJkEBsEzA7rllhv9dvJFywYAESJEiAAgUKqNnL1KlTMXr0aOzatUuJSbdu3bBw4UJMmTIFadKkQc+ePSGzn40bN+puv1nQv245hY/mBaNB0Sz4oUN53fUyIwmQAAl4i4DZcc1bdkUu16WA7N+/H6dPn8bdu3efsOe5554zbF/69OmViLRu3VqFSJEtw/JvSQcPHkSRIkXUgcXKlSvrqsMs6J82nMCwv/ajWakAfNOujK46mYkESIAEvEnA7LjmTdscZTsVkOPHj6NFixbYu3ev8nnI7EGS/FuSER+IPDN79mx10l1mIBcuXEC9evVw7do1pE2bNqK9sjz2zjvvKAd+dEmWuuTHkQS0nJoPCQlB6tSp3eY2Ye0xjFx8EK3K5sAXbUq5/TwfIAESIAFPE/BpAZFQJrL0NGnSJOTJkwdbt26FnD4Xf8Xnn3+OGjX071YSEZIgjOLvSJkypZpxNGnSRP1/586dnxAD6YSKFSuiTp06GDVqVLR9MmTIEAwdOvSpvxkVkK9XHsGY5Ye1q2xzalfa2md3madfSJZHAiTgOwR8WkAyZsyIVatWQbbrim9CBKRQoULqdyIiMoPQm2T5S5bBZICfM2eOEqW1a9di9+7dhgTE0zOQL5YdwjerjqJjlUAMfb643mYxHwmQAAl4jYBPC0i6dOmwc+dONfvIly+fGvRlViAReUuUKKFCvBtN9evXV2W++OKLhpawotZrFvSIRQfw/brjeK1GHnz0bFGjzeJzJEACJOAxAmbHNY8ZEkNBTn0gskQlM43mzZujffv2yk8xYMAATJw4ETt27EBwcLBh++rWrYtcuXKpsPHiRJ8xYwZatWqlyjt06BAKFy5sqRN9yPx9mLLpJHrUyYe+jQobbhcfJAESIAFPEfBpAZHIvDdv3kTLli1x9OhRNG3aFIcPH0aGDBnw22+/QURAT5LT7HLmQwQjNDRU+T3EtyHlN2jQQG3jXbRokdrGKw7wXr16qWI3bdqkp3iVxyzo/vP2YvqW03infgHtp6DuepmRBEiABLxFwOy45i27Ipfrchtv5MxyqZQsbTl2YukxsEuXLli5ciXOnz+vfCniU5HLqEQ8JDkOEsosJPJBwqxZs+op3iMC0nd2EGbvOIv3GxdC99r5ddfLjCRAAiTgLQJxRkDOnDmjGEW9YMpb4Nwt1yzot2fuwp+7z2HAs0XQtUZed6tnfhIgARLwOAGz45rHDYqmQKczELkTRLbKfv311wgLC1OPyhZcWWIaPHgwEiVKZIV9uuowC7rbLzuwOPgCPn6+GF6pkltXncxEAiRAAt4kYHZc86ZtjrKdCoj4JubOnYthw4apMxyS5HS4nMEQx7rEt7JLMgu669RtWHHgEka2LIG2FXPZpVm0gwRIwI8JmB3XrEDnVEDEXyEBDh1BDx3GiMO7Xbt26kyHXZJZ0K/8uAXrj/yLMdop9JbaaXQmEiABEohtAmbHNSvsdyogmTNnVof9JC5V5CS3FNasWROXL1+2wj5ddZgF/aJ2mdQW7VKpb9uXQdOSAbrqZCYSIAES8CYBs+OaN21zlO1UQGTpSgIbTp48GUmSJFH5ZZeU7KqSyLriB7FLMgu6xXcbsev0dUx8pRwaFtO/+8su7acdJEACcY+A2XHNCiJPCIic+YicVqxYocSjVKnHAQaDgoJUVF4JgCj+Ebsks6CbfrMewf/cwOTOFVCnUGa7NIt2kAAJ+DEBs+OaFeieEBAJbKg3yczELsks6IZfrsXhi2GY3rUSqubPaJdm0Q4SIAE/JmB2XLMCnVsHCa0wyEgdZkHXHr0aJ6/cwpw3q6B87vRGTOAzJEACJOBRAmbHNY8a46QwCogGpuqIlTgXcgfze1ZDyRz/v5fEig5gHSRAAiQQHQGfE5DGjRurcx6ubgKUmFZyb7kcLOzRo0es975Z0OWHr8C/YeFY/HYNFMnm/oVUsQ6ABpAACcQ5AmbHNSuAPDED+fHHHzFo0CAVs0oulCpfvjwCAgKQNGlSFY1XrrfdsGGDCn747LPPqmtpJUhibCezoEsOWYobd+5jZZ9ayJcpZWw3h/WTAAmQgOkgsVYgfGoJS7bqyrWzEnFXxMJxYFACKBYtWhSNGjVSW3mjng+xwlhndZgVkMIDF+POvYdY/34d5EyfPDabwrpJgARIQBEwO65ZgdGlD0QE5Pbt2yqMu53iX0WGYxZ0vv6L8ODhI2zpXw9ZUie1gjvrIAESIIEYCZgd16zA61JArDDCbB1mQD969Ah5+i1SJuwYUB8ZUj4+NMlEAiRAArFJwMy4ZpXdfi8g9x48RIGPFiveQYMaIk1y+0QZtuolYD0kQAL2I0ABsahPzIC+c0yeRuMAACAASURBVO8BCg9coiwNHtoIKZMktMhqVkMCJEACzgmYGdes4ur3M5Cw8PsoPnip4n3w48ZImiiBVexZDwmQAAk4JUABsejlMAP6+q27KD1subL06CfPIGGC+BZZzWpIgARIIA7PQK5fv445c+bg2LFj6Nu3L9KnT4+dO3ciS5YsyJ49u2363oyAyAFCOUgo6cSIJm7d924bADSEBEggzhEwM65ZBcPpEtaePXtQv359dajw5MmTOHToEPLmzYsBAwbg9OnT+Pnnn62y0WU9ZkBfvHEHlT5diYTx4+Hop01c1sUMJEACJGAFATPjmhX2SR1OBUTEo2zZsvjss8+QKlUqFcpdBGTTpk1o3769EhW7JDOgz167heqjViNJwvg4NPwZuzSJdpAACfg5ATPjmlXoYrzSVpar8uXL94SAnDp1CoUKFcKdO3esstFlPWZAn7pyE7VGr0GKxAmwb1hjl3UxAwmQAAlYQcDMuGaFfTHOQORK26VLl6JMmTJPCMjy5cvx6quv4syZM1bZ6LIeM6CPXgpD/TFrkSZZIgQNbuiyLmYgARIgASsImBnXrLAvRgHp2rUrrly5glmzZinnufhEEiRIgObNm6s70ceOHWuVjS7rMQP60IVQNBq7DhlSJMaOgQ1c1sUMJEACJGAFATPjmhX2xSggEgOrdevW2L59OyR8u0TlvXDhAqpUqaKi8aZIkcIqG13WYwb0vnMhePbrDcicKgm2flTfZV3MQAIkQAJWEDAzrllhX4wC4jBg48aNyoEeFhamnOriXHcnjRgxQt2ffvDgQSRLlgxVq1bFqFGjlB/FkWrXro21a9c+Uewbb7yBCRMm6KrKDOigM9fx/LiNyJ42GTZ+WFdXfcxEAiRAAt4mYGZc87ZtjvKjdaLfu3dPDfa7d+9G8eLFTdkil1S1bdsWFSpUwP3799G/f38EBweru0UcsxgRkIIFC2LYsGERdSVPnhypU+u73MkM6B2nrqHV+E3IpYVxX6eFc2ciARIgATsQMDOuWWW/011YsmV33rx5KFWqlEdtuXz5MsRBLzMO8aVIEgEpXbq0Yb+KGdBbT1xFm+83I2/GFFj1Xm2PtpWFkQAJkIBRAmbGNaN1uvucUwGR2wll6WnatGnKie6pdPToURQoUAB79+6NmN2IgOzbtw8SWj1r1qzqNsSBAwdCZiHRJbn0Sn4cSUDnzJlTXX6ld9bieHbT0X/RftIWFMySEst61/JUM1kOCZAACZgi4NMCItt3ZbCX5azAwMCnnOZyRsTd9PDhQzz33HOQECly26EjTZw4UdUhjnrZ7fXBBx+gYsWKSsCiS3Jv+9ChQ5/6kxEBWXf4Mjr8tFXdhS53ojORAAmQgB0I+LSARDdAR4Y6ePBgtxl369YNixcvVuKRI0cOp8+vWrUK9erVUwImBxmjJk/OQFYdvIhXp2xHyRxpML9ndbfbxAdIgARIwBsEfFpAPA2kZ8+e+PPPP7Fu3TrkyZMnxuJv3ryJlClTYsmSJeoOdlfJDOhl+y7g9Wk7UCZXWszrXs1VVfw7CZAACVhCwMy4ZomBWiVevw9E/Bq9evVSDvk1a9Yo/4erJFuHq1evrrYPlyxZ0lV2U5fPL957Ht1+3YkKudNh9ptVXdbFDCRAAiRgBQGfFpD48ePHGNr8wYMHuhh2794d06dPV7OPyGc/JMqvbBWWUPHy9yZNmiBDhgzKB9K7d2+1xBX1bIizCs2Anh90Dm/N2IUqeTNgxuuVdbWJmUiABEjA2wTMjGvets1RvtMZiAz4kZM403ft2oWpU6cqB3aXLl102RgvXrxo802ePBmdOnVSMbVefvlldTZElq5kN1WLFi1U2Hi9O6rMgJ636yx6/xaEGgUyYlqXSrraxEwkQAIk4G0CZsY1b9vmUkCcGSCzhd9++03NKOySzICetf0M3p+zB7ULZcKUzhXt0iTaQQIk4OcEzIxrVqFz2wdy/Phx5ZeQ0CZ2SWZAz9h6Gv3m7kX9IlkwqWN5uzSJdpAACfg5ATPjmlXo3BKQ27dvo1+/fmorrtxQaJdkBvS0v09h4B/BaFwsKya8Us4uTaIdJEACfk7AzLhmFTqnApIuXbonnOiym0qi8srp8F9++UUdCLRLMgN68sYTGLpgP54tmQ3j2pe1S5NoBwmQgJ8TMDOuWYXOqYBMmTLlCQGRXVmZMmVCpUqVIOJip2QG9KT1xzF84QE0Lx2AsW3L2KlZtIUESMCPCZgZ16zC5tYSllVGuVuPGdAT1h7DyMUH0apsDnzRxrOBI91tB/OTAAmQgIOAmXHNKopOBUROgctpcDnQJ2ncuHH44YcfULRoUfVvO81CzID+dtURfL7sMF4snxOjWrs+tGhVx7AeEiAB/yZgZlyzipxTASlRooS6+EkO+Enk3PLly6NPnz5YvXo1ChcuDDnHYZdkBvTYFYcxdsURvFQpFz5pUcIuTaIdJEACfk7AzLhmFTqnAiKzDznclzt3bkj0W/n3nDlzIFF4RVTkelu7JDOgP196CN+uPoqOVQIx9Hlzl2fZhQftIAES8H0CZsY1q1rvVEDkDhCJmitLVrKM1aFDB7z++us4efKk+t2tW7esstFlPWZAi/9D/CCvVsuDQc2KuqyLGUiABEjACgJmxjUr7JM6nAqIbNO9e/cuqlWrho8//hgnTpxA9uzZsWzZMkhk3cOHD1tlo8t6zID+ZOF+/LD+BF6vmRf9mxRxWRczkAAJkIAVBMyMa1bYF6OAnD59GhIIUWJVvfXWWxGxryTQoQRS/Prrr62y0WU9ZkAP086A/KSdBXmzVj58+Exhl3UxAwmQAAlYQcDMuGaFfTEKiFUGeKIeM6CHzN+HKZtOokedfOjbiALiif5gGSRAAuYJmBnXzNeurwSnS1jiLE+UKBFkN5YkCZ4oO6/E/yFO9cSJE+urwYJcZkBLGBMJZ/JW3fx4t2EhC6xlFSRAAiTgmoCZcc116Z7J4VRAKlSogA8//BCtWrWCBFAsVqyYCrO+bds2PPvssxg7dqxnLPBAKWZA95+3F9O3nMY79QtoPwU9YA2LIAESIAHzBMyMa+Zr11eCUwGRC59kFiJ3kst5ELmnfOnSpZDbAtu2bat8I3ZJZkB/+PsezNx2Bn0aFESveq5vS7RLm2kHCZBA3CZgZlyzioxTAZHLnHbs2KGuoG3QoAGaNm2Kt99+G+Jcl5sFJTKvXZIZ0H1nB2H2jrOa/6OQ5gfJb5cm0Q4SIAE/J2BmXLMKnVMBqVu3rrodsH79+moH1v79+5E/f351zWzHjh3VeRC7JDOg3521G3N3/qN2YMlOLCYSIAESsAMBM+OaVfY7FRC5m/yll15SM453330XgwcPVjb16tULV65cUfeY2yWZAf3OzF34Y/c5fKSdAXlNOwvCRAIkQAJ2IGBmXLPKfrej8d65cwcJEiRQO7TsksyA7jVjFxYEncPApkXRpXoeuzSJdpAACfg5ATPjmlXoYhSQ69evq/hXx44dQ9++fSHhTcSxniVLFnUq3S7JDOgev+7Ewr3nMUQLY9JJC2fCRAIkQAJ2IGBmXLPK/hiXsOrVq4e0adMqf4dcYZs3b14MGDBALWv9/PPPVtnosh4zoLv9sgOLgy/g4+eL4ZUquV3WxQwkQAIkYAUBM+OaFfZJHU4FRJznZcuWxWeffYZUqVIhKChICcimTZvQvn37OONEf/3n7Vi2/6IWyr24FtI90CrurIcESIAEYiTg0wIS+RxIZAE5deqU2sYrvhC7JDOgu07dhhUHLmFkyxJoWzGXXZpEO0iABPycgJlxzSp0TmcgmTNnVgcHy5Qp88QMZPny5Xj11VfjzEHCzpO3YvWhy/isVUm0qZDTKu6shwRIgATi7gyka9euarvurFmzlPNctvXK7qvmzZujZs2acSaUSYeftmLd4cv4/IVSaF0uB19pEiABErAFAZ+egYSEhKB169bYvn07QkNDERAQoG4hrFKlChYtWoQUKVLogjxixAjMnTsXBw8eRLJkyVC1alUVGkWWwRxJlsPkutyZM2ciPDwcjRo1wnfffad2e+lJZkC/PGkLNhz9F1++WAotylBA9PBmHhIgAe8TMDOued+6xzW4PAcisa/EgR4WFqac6uJcdyc1btxYxc6S4Iz3799H//791fW4crLdIULdunXDwoULMWXKFIjvRS6sih8/voq7pSeZAd1u4t/YfPwKvmpbGs+Xts/WZD3tZh4SIIG4S8DMuGYVlWgF5N69e2q2sHv3bhQv7tl7wi9fvgzxr0hIFFkKk5lOpkyZ1Ml2mfFIktlKkSJFsHnzZlSuXNklCzOg23y/GVtPXMW37cugackAl3UxAwmQAAlYQcDMuGaFfTHOQGTL7rx581CqVCmP2nL06FEVoHHv3r1KnCTKr5w3uXbtmjpz4kiBgYF45513IDcgRk2yzCU/jiSgJW6XiJEEgXQntR6/CdtPXcP4l8rimRLZ3HmUeUmABEjAawR8WkB+/PFH5buYNm2acqJ7Ij18+BBy17qccN+wYYMqUmYenTt3fkIQ5PcVK1ZEnTp1lL8kapILrYYOHfrU740ISIvvNmLX6ev4/pVyaFQsqyeayTJIgARIwDQBnxYQ2b4rswVZzpLZQFSnuYQ0cTeJr2Px4sVKPHLkeOywNiIgnpyBPP/tBgSdDcGkDuVRv6g+p7277WZ+EiABEnCXgE8LiHzLjxcvntM2O6Lz6oUijnG5FnfdunXIk+f/MaeMLGFFrdMM6KbfrEfwPzcwuVMF1CmcWW9zmI8ESIAEvErAzLjmVcMiFe5yF5ZZQx49eqRCwIs/Zc2aNcr/ETk5nOgzZsxQ1+dKkrhbhQsXtsSJ3uSr9dh//gamvloRtQpmMttcPk8CJEACHiHgkwJy8+ZNvPfee5g/fz7u3r2rHNzffPON2illJHXv3l0tU8nsI/LZD9muKzu9JMnSlpwtkW284gQXwZEkcbf0JDOgG49dh4MXQvFLl0qoXiCjnuqYhwRIgAS8TsDMuOZ14/6r4KkZiFweNXHiRHWZVNKkSSEzg2rVqqkZhJHkbBls8uTJ6NSpkyrScZBQ6op8kDBrVn1ObTOgG4xZiyOXwjD9tUqomo8CYqSP+QwJkIDnCZgZ1zxvTfQlPiUg4p+QCLwvvPCCekLuRZezGHIHesKECa2yy616zICu+8UaHL98E7+9XhmV8mZwq15mJgESIAFvETAzrnnLpqjlPiUgctOgRNyV0CWOlDx5cnW4L1cue0arNQO69ujVOHnlFua8WQXlc3tmu7JVncd6SIAE4i4BM+OaVVSeEhAJmCgxryL7PMQvIeFMIu+esspAPfWYAV3js1U4c/U25navirK50umpjnlIgARIwOsEzIxrXjfuvwqeEhCJQSUnxCMvV0kkXtkVlThx4gi7jJwD8VajzICuNnIV/rl+G3/0qIbSOf9/Et5btrJcEiABEtBDwMy4pqd8T+R5SkCiO+EdXUXungPxhLHOyjADuvKnK3Hhxh0s6FkdJXKk8aaZLJsESIAEdBMwM67prsRkRq+fAzFpn67HzYCu8MkKXA4Nx8K3qqNYAAVEF3BmIgES8DoBM+Oa141ztoRlVcWerMcM6HIfL8eVm3ex5J0aKJzVvUCMnmwDyyIBEiCByATMjGtWkfT7GUjpYctw/dY9LO9dEwWypLKKO+shARIggRgJUEAsekHMgC45ZClu3LmPlX1qIV+mlBZZzGpIgARIIGYCZsY1q9j6/Qyk+OClCAu/jzXv1UbujPqu6bWqc1gPCZCA/xLwWQGREO5yFe2ECROeCn5ox+40A7rIwCW4fe8B1r9fBznTJ7dj82gTCZCAHxIwM65ZhcvpDEQOEkoww6jRc60yzJ16zIAuOGAx7t5/iI0f1kX2tI+DOzKRAAmQQGwTMDOuWWW7UwGRq2STJEmCkSNHWmWL4XrMgM7ffxHuP3yEv/vVQ9Y0SQ3bwAdJgARIwJMEzIxrnrQjprKcCoiEVP/555/VDKRcuXJP3Ug4ZswYq2x0WY8Z0Hn6LYR2ZQm2flQPmVNRQFzCZgYSIAFLCJgZ1ywxUKvEqYDIfeTOkoRol5sE7ZKMgpbLrvL0W6SasWNAfWRImcQuTaIdJEACfk7A6LhmJTa/3oV1/8FD5P9oseK9e1ADpE3+/1hfVnYC6yIBEiCBqATihIAcPXoUx44dQ82aNdUNgvKtPaa70mPjNTAKOvz+AxQasESZvGdIQ6ROmig2zGedJEACJPAUAaPjmpUonc5Arly5gjZt2mD16tVKMI4cOYK8efPi1VdfRbp06fDFF19YaWeMdRkFffvuAxQZ9FhA9g1thBRJ7Hlhlm1A0xASIAHLCBgd1ywzUKvIqYB06NABly5dwqRJk1CkSBF1H4gIyNKlSyHX3u7bt89KO70iIHKAUA4SSjr4cWMkTZTANm2iISRAAv5NwKcFRO4jF7EoVaoUUqVKFSEgx48fR8mSJREWFmab3jUKOuT2PZQauky149DwxkiSkAJim06lISTg5wSMjmtWYnM6AxHRkEujZBtvZAHZvn07GjVqBFnisksyCvr6rbsoPWy5asbRT55BwgTx7dIk2kECJODnBIyOa1ZicyogTZo0Uec/Pv74YyUgcithYGAg2rZti4cPH2LOnDlW2umVJawrYeEoN3yFKvvEiCa22xxgG8A0hARIwHICPi0gwcHBqFevHsqWLavOfDz33HPK73H16lVs3LgR+fLlsxyoswqNgr4UegcVP1mpCYcIyLO2aQ8NIQESIAGj45qV5GI8BxISEoJvv/1W+T/E5yFi0qNHD2TLls1KG13WZRT0hZA7qDxiJRLGj4ejnzZxWQ8zkAAJkIBVBIyOa1bZJ/X49UHCc9dvo+rIVUicMD4OD3/GSu6siwRIgARiJODzAnLt2jX8+OOPOHDggGpo0aJF0blzZ6RPn153169btw6jR4/Gjh07cP78ecybNw/NmzePeL5Tp06YOnXqE+WJk37JksfnM/Qko6DPXruF6qNWa9t342vbeCkgelgzDwmQgDUEjI5r1lj3uBanMxAZ+Js1a4Y0adKgfPnyKrOIwPXr17FgwQJ1Ml1PWrx4sfKZiEO+ZcuW0QrIxYsXMXny5IjiJAqwHFbUm4yCPnP1Fmp8thrJEyfA/mGN9VbHfCRAAiTgdQJGxzWvGxapAqcCUqJECVSpUgXjx49HggSPz0c8ePAA3bt3V/eE7N2712075UR7dDMQEaU//vjD7fIcDxgFferKTdQavQYptRPowdpJdCYSIAESsAsBo+OalfY7FRCJe7V7924UKlToCXsOHTqE0qVL4/bt227b6UxARDwSJ06sZh1169bF8OHDkSFDBt3lGwV94t+bqPP5GqRKmhB7h1BAdANnRhIgAa8TMDqued0wPTOQatWqoW/fvk/4K+Q5Gezlkqm///7bbTujE5CZM2ciefLkyJMnjwra2L9/f6RMmRKbN2+OmPlErSg8PBzyE3kGkjNnTsiusdSpU+u269jlMNT7Yi3SJEuEoMENdT/HjCRAAiTgbQI+JyByWNCRxHH+/vvvQy6Wqly5svq1iMa4ceOUgLz44otu84tOQKIWIqFS5IzJihUr1DmU6NKQIUMwdOjQp/7kroAcvRSK+mPWIV3yRNg1iALidofyARIgAa8R8DkBiR8/vjqNLSHbY0qSR/wh7iY9AiJlyn3ssoz1xhtvRFuFp2Yghy+GouGX65AhRWLsGNjA3eYwPwmQAAl4jYDPCcipU6d0w5CwJu4mPQJy9uxZ5MqVSy2Vyel3Pcko6IMXbqDx2PXIqN1EuF27kZCJBEiABOxCwOi4ZqX9Xj9IKCfY5VIqSWXKlIHcpS7X5cpZEvmRpahWrVpBov+KD0SWzUJDQ9UuL9nOqycZBb3/3A00+Xq9dhd6Eu1OdAqIHtbMQwIkYA0Bo+OaNdY9riVGATl37hw2bNig7gWRAIqR01tvvaXLzjVr1ijBiJo6duyotgjLocJdu3ap8yUBAQFo2LChCuCYJUsWXeVLJqOgg/8JQdNvNiBr6qT4u3/0/hbdRjAjCZAACXiQgNFxzYMmuCzKqYBMmTJF+SBke61sqY18ja38W5zddklGQe89G4Jm325AQJqk2NSPAmKX/qQdJEACxr8YW8nOqYDIttg333wT/fr1gzjX7ZyMCsjuM9fRfNxGZE+bDBs/rGvnJtI2EiABPyNgdFyzEpNTAZFZx9atW20Vtt0ZGKOgd56+hpbfbULO9Mmw/n0KiJUvHusiARKImYDRcc1Krk4FRJzZ4uT+8MMPrbTHUF1GQe84dRWtxm9GYIbkWNv3aT+NIWP4EAmQAAl4gIDRcc0DVesuwqmAyDmPpk2bqpAlEhcrUaJETxQqu6nskoyC3nbyKl6YsBl5MqbA6vdq26U5tIMESIAEDG8OshKdUwGRg3yDBg1SsbBkR1RUJ7rcUmiXZFRAthy/ghcn/o28mVJgVR8KiF36k3aQAAn4uBNdAht++eWXkPs67J6MCsjmY1fQ7oe/kT9zSqx4t5bdm0n7SIAE/IiA0XHNSkROZyBysG/9+vUoUKCAlfYYqsso6E1H/0X7SVtQKEsqLO2t734TQwbyIRIgARJwk4DRcc3NakxldyogI0aMUDcIfv3116YqsOJho6A3HPkXL/+4BYWzpsKSdyggVvQV6yABEtBHwOi4pq90z+RyKiAtWrSA+DlkO2+xYsWecqLPnTvXMxZ4oBSjoNcdvowOP21F0WypsejtGh6whEWQAAmQgGcIGB3XPFO7vlKcCojcfR5TinwFrb6qvJfLKOg1hy6h0+RtKJ49Nf7qRQHxXg+xZBIgAXcJGB3X3K3HTH6vB1M0Y5zeZ42CXn3wEjpP2YaSOdJgfs/qeqtjPhIgARLwOgGj45rXDYtUgV8LyMoDF9Fl6naUypkWf/aoZiV31kUCJEACMRLweQGZM2cOZs2ahdOnT+Pu3btPNHbnzp226X6joJfvv4jXft6OMrnSYl53CohtOpSGkAAJ+PZBQtl99dFHH6lzIBMnToT4ROS+jm3btqFHjx745JNPbNPFRgVk6b4LeGPaDpQLTIffu1W1TXtoCAmQAAkYHdesJOd0Catw4cIYPHgw2rVrh1SpUiEoKAh58+ZVp9OvXr2Kb7/91ko7vTLVWxJ8Hm/+shMVcqfD7DcpILbpUBpCAiTg2zOQ5MmT48CBA5CrazNnzozly5ejVKlSOHLkCCpXrowrV67YpouNKvWivefR/dedqJgnPWa9UcU27aEhJEACJGB0XLOSnNMZiMw2fv/9d3UNbfny5fHaa6+pC6aWLVuGtm3bqlmIXZJR0H/tOYee03ehct70mPk6BcQu/Uk7SIAEfDwWVteuXSGXSsky1rhx49C3b19Uq1YN27dvR8uWLfHjjz/apo+NCsj8oHN4a8YuVM2XAdNfq2yb9tAQEiABEjA6rllJzukMRO5Al5+ECRMqe2bOnIlNmzap2FiOq26tNDSmuoyC/nP3P3h75m5Uz58Rv3StZJfm0A4SIAES8G0fiC/1n1EBmbfrLHr/FoQaBTJiWhcKiC/1OW0lgbhOwOi4ZiWXGA8SXr9+XV1re+nSJTUbiZw6dOhgpZ0x1mUU9O87zqLP7CDUKpgJU1+taJv20BASIAESMDquWUnOqYAsWLAAL730EsLCwpA6deqnLpSKC0702dvPoO+cPahTKBMmd6aAWPnisS4SIIGYCfi0gBQsWBBNmjTBp59+CtnSa+dkFPSsbWfw/u97UK9wZvzYqYKdm0jbSIAE/IyA0XHNSkxOZyApUqTA3r171eFBuyejoGduPY0P5+5F/SJZMKljebs3k/aRAAn4EQGj45qViJwKiGzVlfMebdq0sdIeQ3UZBf3rllP4aF4wGhbNgokdKCCG4PMhEiABrxAwOq55xRgnhT4hIPPnz4/IdvnyZQwbNkzFwCpRosRTF0o999xzuuxct24dRo8ejR07dqgbDufNm4fmzZtHPPvo0SN11uSHH36AOO3lrMn48ePdukrXKOhpf5/CwD+C0bhYVkx4pZyu9jATCZAACVhBwOi4ZoVtjjqeEJD48ePrqjtevHh48OCBrryLFy/Gxo0bUa5cOXUAMaqAjBo1CnJ97tSpU5EnTx4MHDhQLZ3t378fSZMm1VWHUdA/bz6JQX/uQ5MSWfHdSxQQXbCZiQRIwBICRsc1S4z7rxJL7wMR4YksIDL7CAgIQJ8+ffDee+8pk0JCQpAlSxZMmTJFLaHpSUZBT9l4AkMW7MezJbNhXPuyeqpiHhIgARKwhIDRcc0S4+wgIMePH0e+fPmwa9culC5dOqLdtWrVUv/91Vdf6WJhFPRPG05g2F/70axUAL5pV0ZXXcxEAiRAAlYQMDquWWGbo46nZiCrVq1Cz5498ffff6vzH5GTzA6qVq2qfBQ1a9Z0286oMxAJjSI+j3PnziFbtmwR5YnjXvL+9ttv0dYRHh4O+XEkAS1xu8S+qDbHZOSk9ccxfOEBPF86AF+1pYC43aF8gARIwGsEfFJAxDlep04d9O7dO1owctHU6tWr1VKUu8lTAjJkyBAMHTr0qerdFZAf1h3HJ4sOoEWZ7Pjyxf/PgNxtF/OTAAmQgKcJ+KSAyP0fS5YsQZEiRaLlcfDgQTRs2FBdc+tuiiogRpewPDUD+X7tMYxYfBAty2bHmDYUEHf7k/lJgAS8R8AnBUR2PgUHByN//vzRkjl69Kja1nv79m23yTlzoosDXRzpkgSaXGBlhRN9/JpjGLXkIFqXy4HPXyjldnv4AAmQAAl4i4BPCog4tb/44osnzmpEBjR37ly1Y0pmD3qSxNIS0ZEkl1ONGTNGLZGlT58euXLlgmzjHTly5BPbePfs2WPJNt5xq49i9NJDaFM+Bz5rTQHR05/MQwIkYA0BnxSQXr16Yc2aNdi2bdtT5zBk1lGxYkUlAOIL0ZOknyW1OQAAF5tJREFULMkfNXXs2FHNMhwHCSdOnKgOElavXh3fffcdJBaX3mQU9LerjuDzZYfRtkJOjGxVUm91zEcCJEACXidgdFzzumGRKnhqF9bFixdRtmxZJEiQQO3GKlSokMouvg+5mVAOEO7cuVOd1bBLMgr665VHMGb5YbSrmAsjWpawS3NoBwmQAAn47oVSp06dQrdu3bB06VI1Q5Ak/otGjRopEZET43ZKRgVk7IrDGLviCF6qlAuftKCA2KlPaQsJ+DsBo+OaldxiPIl+7do15b8QEZGrbNOlS2elbbrrMgpaZh8yC+lQJRDDni+uuz5mJAESIAFvEzA6rnnbrsjlWxrKxFsNMwr6i2WH8M2qo+hUNTeGPFfMW+axXBIgARJwm4DRcc3tikw84NcCMnqp5tdZfQydq+XG4GYUEBPvER8lARLwMAEKiIeBOivOKGg5AyJnQbpU16IANy1qkbWshgRIgARcEzA6rrku2XM5/HoGMmLxAXy/9jheq5EHHz1LAfHca8WSSIAEzBKggJglqPN5o6A/1eJgTdTiYb1RMy/6NYk+dItOE5iNBEiABDxKwOi45lEjXBTm1zOQ4Voo90laSPc3a+XDh88UtpI76yIBEiCBGAlQQCx6QYyCHqZdJvWTdqlU99r58H5jCohF3cVqSIAEdBAwOq7pKNpjWfx6BjJk/j5M2XQSPevkx3uNHp+4ZyIBEiABOxCggFjUC0ZBD/4zGFM3n8JbdfPj3YYUEIu6i9WQAAnoIGB0XNNRtMey+PUMZOAfwZj29ym8Xa8AejfQH7zRY/RZEAmQAAk4IUABsejVMAq6/7y9mL7lNHrXL4i36xewyFpWQwIkQAKuCRgd11yX7Lkcfj0D6Td3D2ZsPYM+2uyjlzYLYSIBEiABuxCggFjUE0ZBfzBnD37bfgZ9NQd6D82RzkQCJEACdiFgdFyz0n6/noH0nR2E2TvOalt4C2lbeSkgVr54rIsESCBmAhQQi94Qo6D7zArC7zvPqkOEcpiQiQRIgATsQsDouGal/X49A3n3t92Yu+sf9G9SGK/XpIBY+eKxLhIgAc5AbPEOGFXqd2buwh+7z2HAs0XQtUZeW7SFRpAACZCAEDA6rllJz69nIG/N2IX5QedUKHcJ6c5EAiRAAnYhQAGxqCeMgu45fSf+2nNeu0yqqHapFAXEou5iNSRAAjoIGB3XdBTtsSx+PQPp8etOLNx7HkO162w7atfaMpEACZCAXQhQQCzqCaOgu/2yA4uDL+Dj54vhlSoUEIu6i9WQAAnoIGB0XNNRtMey+PUM5I1p27F030UMb14cL1cO9BhUFkQCJEACZglQQMwS1Pm8UdCv/bwdy/dfxKctSqB9pVw6a2M2EiABEvA+AaPjmvct+38NtpiBDBkyBEOHDn2i3YUKFcLBgwd1sTAKuuvUbVhx4BJGtiyBthUpILpgMxMJkIAlBIyOa5YY918lthGQOXPmYMWKFRFtT5gwITJmzKiLhVHQr07ZhlUHL+GzViXRpkJOXXUxEwmQAAlYQcDouGaFbY46bCMgf/zxB3bv3m2o7UZBd5q8FWsOXcbo1iXxQnkKiCH4fIgESMArBIyOa14xxkmhthGQ0aNHI02aNEiaNCmqVKmCESNGIFeu6JeVwsPDIT+OJKBz5syJkJAQpE6dWje/Dj9txbrDl/HFC6XQqlwO3c8xIwmQAAl4mwAFRCfhxYsXIywsDOL3OH9eO5eh+UP++ecfBAcHI1WqVE+VEp3PRDK5KyCv/LgF64/8iy9fLIUWZSggOruL2UiABCwgQAExCPn69esIDAzEmDFj0KVLl6dK8dQM5KVJf2Pj0Sv4qm1pPF86u0Fr+RgJkAAJeJ4ABcQE0woVKqB+/fpqKctVMgq63cS/sfn4FXzdrgyeKxXgqhr+nQRIgAQsI2B0XLPMQK0iW/hAojZYlrPE/yFLVW+99ZZLHkZBv/j9Zmw5cRXj2pfFsyWzuayHGUiABEjAKgJGxzWr7JN6bCEg7733Hpo1a6aWrc6dO4fBgwerHVn79+9HpkyZXPIwCrrNhM3YevIqxr9UFs+UoIC4BM0MJEAClhEwOq5ZZqBdBKRt27ZYt24drly5ogSjevXq+OSTT5Avn75LnoyCbj1+E7afuoYJL5dD4+JZreTOukiABEggRgJGxzUrsdpiBmK2wUZBt/xuI3aevo6Jr5RDw2IUELP9wOdJgAQ8R8DouOY5C1yX5NcC8vy4jQg6cx2TOpRH/aJZXNNiDhIgARKwiAAFxOagn/t2A/acDcFPncqjbmEKiEXdxWpIgAR0EKCA6IDkiSxGQTf9Zj2C/7mByZ0roE6hzJ4whWWQAAmQgEcIGB3XPFK5zkL8egmryVfrsf/8DUx9tSJqFXS920snU2YjARIgAdMEKCCmEeorwCjoxmPX4eCFUEzrUhE1ClBA9NFmLhIgASsIGB3XrLDNUYdfz0AafbkOhy6G4teulVAtv77Q8VZ2DusiARLwXwIUEIv63ijoBmPW4silMEx/rRKq5qOAWNRdrIYESEAHAaPjmo6iPZbFr2cg9b5Yg2OXb2Lm65VROW8Gj0FlQSRAAiRglgAFxCxBnc8bBV338zU4/u9NzHqjCirmSa+zNmYjARIgAe8TMDqued+y/9fg1zOQ2qNX4+SVW5jzZhWUz00BsfLFY10kQAIxE6CAWPSGGAVd87PVOH31Fn7vVhXlAtNZZC2rIQESIAHXBIyOa65L9lwOv56BVB+1Cmev3ca87lVRJhcFxHOvFUsiARIwS4ACYpagzueNgq42chX+uX4bf/aohlI50+qsjdlIgARIwPsEjI5r3reMPhBFoMqIlTgfcgcLelZHiRxprOTOukiABEggRgIUEIteEKOgK326AhdvhOOvXtVRPDsFxKLuYjUkQAI6CBgd13QU7bEsfu0DqfDJClwODceit2qgaEBqj0FlQSRAAiRglgAFxCxBnc8bBV1++HL8G3YXS96pgcJZKSA6cTMbCZCABQSMjmsWmBZRhV/PQMp+vBxXb97Fst41UTBLKiu5sy4SIAESoA/EDu+AUaUuPWwZrt+6hxXv1kT+zBQQO/QlbSABEnhMwOi4ZiU/v56BlByyFDfu3MfKPrWQL1NKK7mzLhIgARLgDMQO74BRpS4xeClCw+9j9Xu1kSdjCjs0hTaQAAmQAGcgVr4DRgWk2KAluHn3Adb2rY3ADBQQK/uMdZEACcRMwOi4ZiVXv17CKjJwCW7fe4D179dBzvTJreTOukiABEiAS1h2eAeMKvVtbfbxSPtf0oQJED9+PDs0hTaQAAmQAJewrHwHjAqIlTayLhIgARJwh4AvjGu2WcIaN24cRo8ejQsXLqBUqVL45ptvULFiRV28fQG0roYwEwmQAAn8R8AXxjVbCMhvv/2GDh06YMKECahUqRLGjh2L2bNn49ChQ8icObPLF8oXQLtsBDOQAAmQQCQCvjCu2UJARDQqVKiAb7/9VuF7+PAhcubMiV69euHDDz90+VL5AmiXjWAGEiABEqCAuPcO3L17F8mTJ8ecOXPQvHnziIc7duyI69ev488//3yqwPDwcMiPI4mAiOCEhIQgdWrGtHKvB5ibBEjAjgR84YtxrM9Azp07h+zZs2PTpk2oUqVKRD++//77WLt2LbZs2fJU3w4ZMgRDhw596vcUEDt+DGgTCZCAEQIUEB3UjAgIZyA6wDILCZCATxOggOjoPiNLWFGL9QXQOlAwCwmQAAk8sTSfJk0aWy/Nx/oSltASJ7ps2ZWtu5LEiZ4rVy707NmTTnR+oEiABPySgC98MbaFgMg2XnGaf//990pIZBvvrFmzcPDgQWTJksXly+MLoF02ghlIgARIIBIBXxjXbCEgwky28DoOEpYuXRpff/21mpnoSb4AWk87mIcESIAEHAR8YVyzjYCYeW1k91XatGlx5swZbuM1A5LPkgAJ2IaA43iCHGcQX4gdU5wQkLNnz6pzIEwkQAIkENcIyBfjHDly2LJZcUJAxOku24FTpUqFePH0R9V1KHxcnbnE9fbJJyqutzGut4996FwXHj16hNDQUAQEBGjRwuNTQOxGwBfWGM0wi+vtcww+dt/qyD6MmUBcf0/jcvvixAzE6Ac0LnesPwyu/tDGuP6Osg+Njl72eI4CYvODOmZeEw4+ZujZ41n2oT36wYwVcbkP/VpAJCTKiBEj0K9fPyRJksTMO2LLZ+N6+wR6XG9jXG8f+9CWQ4duo/xaQHRTYkYSIAESIIGnCFBA+FKQAAmQAAkYIkABMYSND5EACZAACVBA+A6QAAmQAAkYIkABMYSND5EACZAACcR5ARk3blxEkMZSpUqpkPES8ddZmj17NgYOHIiTJ0+iQIECGDVqFJo0aWLbN8Wd9k2ZMgWdO3d+oi2y++zOnTu2bN+6detU3+3YsQPnz5/HvHnznrj2ODqj16xZg3fffRf79u1T4W0GDBiATp062bJ9YpS7bZT21alT56n2CJ+sWbParp2yy3Hu3LkqsnayZMlQtWpV9ZkqVKhQjLb6yufQSPt87XMYU0fFaQGRMPEdOnTAhAkTVGRfCRMvL+ahQ4eQOXPmp7jItbo1a9ZUW3ubNm2K6dOnq5d9586dKF68uO0+nO62T17ct99+W7XfkST0i56Q+bHR+MWLF2Pjxo0oV64cWrZs6VJATpw4ofrpzTffRNeuXbFy5Uq88847WLhwIRo1ahQbTXBZp7ttdAiI9GHq1Kkjypf32Y7hLho3boy2bduiQoUKuH//Pvr374/g4GDs378fKVKkiJaPL30OjbTP1z6HfisgIhry4kqoeEkSM0u+lfbq1Svai6pefPFF3Lx5E3/99VcEs8qVK0PCy4sI2S252z55cWVAleievpZE6FzNQD744AMlFjJAOZIMXtLeJUuW2L7JetroEJBr166pCNS+li5fvqy+vK1du1Z9WYsu+drnMHIb9LTPlz+HUfsrzs5AjFyVK7cgyvKHDLKONHjwYPzxxx8ICgqy1WfVSPvkxZVv5tmzZ1diWrZsWXz66acoVqyYrdoWnTF6BlcZkKRNMtN0pMmTJ6v+lJD/dk962ugQkMDAQHWIUmZcQ4YMQbVq1ezePGXf0aNH1dLw3r17nc7qfelzGBW6nvb58ufQbwREovPKQCnT4SpVqkS0+/3331fffrZs2fLUBy5x4sSYOnUq2rVrF/G37777DkOHDsXFixdt9QE10r7NmzfjyJEjKFmypBpQP//8c7UGL/4Cu4aLdkDXM7gWLFhQ+XgksoAjLVq0CM8++yxu3bql1uDtnPS0UZauRETKly+vBGTSpEmYNm2aep9FPO2c5EvLc889p2aEGzZscGqqL30OIzdCb/t8+XNIAfFjAYna+ffu3UORIkWUYH788cd2HntUmH5XS1j+ICDRdVKtWrUg39pFSOycunXrBvH5iHjE9IXFVwVEb/t8+XPoNwJiZInHl6bORtoX3eDywgsvIGHChJgxY4adxx5dAuIPS1jRdVLfvn3VoCzfbO2aevbsiT///FPNePPkyROjmb70OXQ0xJ32+fLn0G8ERBoqTmbZsitbdyXJFFNeTunsDz/88Kl+FOedLHUsWLAg4m+y7VCWfOzqRHenfVEb/ODBA+X/kG3KY8aMsevYo+zSMwMRJ7osWcn6uiO1b98eV69ejTNO9Og6qUGDBuoyNdkua7cklyLJphWZPcrSm/g/XCVf+hwaaZ8vfw79SkBkm2vHjh3x/fffKyER5+qsWbPUnnTZuipbfMVPItt2JYm/RJYDRo4cqdbNZ86cqZzMdt7G6077hg0bBtlVlj9/frUOLWcsZIOAnLMoWrSoq8+15X8PCwtTTldJZcqUUSInZyDSp0+vvgiIr+Off/7Bzz//rPI4tvH26NEDr776KlatWoW33nrL1tt43W2jvMPyDV6EX87viA9EviAtW7YM9erVs7yPXFXYvXt3tR1eZh+Rz37IJWAOn5Qvfw6NtM/XPocx9XGc3YXlaLRs4ZWB8sKFC2o77tdff61mJpJq166N3LlzQ3ZFOJKcE5HDZ46DhJ999pmtDxK6077evXurb6nCIl26dOp8xfDhw9XgbMfk7NCciKb0mRwQlH6SfI4k/5Z2yjkDWWeXQ6F2PkjobhvlfZw4caISzuTJk6vZ8aBBg6I9XGiHPnV2xbTsjnP0iy9/Do20z9c+h34tIHb4ENEGEiABEoiLBOL8DCQudhrbRAIkQAJ2IEABsUMv0AYSIAES8EECFBAf7DSaTAIkQAJ2IEABsUMv0AYSIAES8EECFBAf7DSaTAIkQAJ2IEABsUMv0AYSIAES8EECFBAf7DSaTAIkQAJ2IEABsUMv0Aa/JCCRdSXygURIllAkMSU5GNmwYUN1GZizi5j8EiIbHasEKCCxip+Vu0PA2alfRxlyd4vcjeErSW5ZlGgAH330kS6TW7duDbmWWU7XM5GAHQhQQOzQC7RBFwEJweJIEudMQnhEvp43ZcqUkB9fSKdPn1YxySR+l8Rj05PktsXXXnsN8qxEUGYigdgmQAGJ7R5g/YYIRHctqAQW/OKLL9SgLDHOJJCiBLuTJDGzJAihCI8EH9y+fbu6Ee/XX39Vl2vJXQ4SZLNGjRoqOGOmTJnUcxKvSQJPSrwwiTsmlzhJhF+JqSb3VkiS30lIdQm+eePGDXXZ05dffqmuU3aW5DIvsWXbtm0RWU6dOqUiRUtodgnXL22QOG4SLVmS/E7uQRchsWPgREMdyYd8mgAFxKe7z3+NjyogIgQyiMsgL4P9rl271Ld1ieArwRcdAlK4cGEVlVmi+UrEXrlUS/wPElRSghO2adMG9evXx/jx4yME5Pfff1fRmWXpSMqRWw+l7E8++UTlefvttzFnzhwVGVeumpWAh/Pnz1eRhCVycHTp+eefR0BAQEQ9kqdp06ZKJEQExc8hfg8RjMh3h0s05caNG/vUUp3/vqVxv+UUkLjfx3GyhVEFRJaD5FbFyNcRiyjI/SASpt8hIDLId+nSRTGRGYPkX7lyJerWrat+J6H8pWyZjUiSGYjcD3PmzBklMJLkbhgRK5m53L59W0U2lmdkZiJJRElmD3IXu+SLLklk6FatWj3hz5DIuvI78eU4S+I3kVDoEs2WiQRimwAFJLZ7gPUbIhBZQG7evKl8H3K/RPz48SPKu3//vhps5T57h4Bs3bo1Ymlp9erVSjguXboUsWQlA3OfPn3UJVQOARGfg9wt4khBQUHqagApU0REHNvyb5l9OFKLFi2UsPz000/Rtk/uxujatesTAiPiJktpcneNzIJETERUIqeXXnoJ0i5Z/mIigdgmQAGJ7R5g/YYIRBYQEYisWbPil19+ibjrxVFoggQJlO/DISCytCWDvyTHXRzXrl1D2rRp1e+izmxkBuINAalWrZrawisXlkVOMtMRH4dcEPXXX3+p5Sy50c+RnnnmGeTLl08t1TGRQGwToIDEdg+wfkMEog70spPpzTffdLrF1YyAyBLW2bNnI27Qkxsu33vvvYglLPFzyMwl8hKWiJYsYUm+6JI4y6VMuRHSWZIbF0VM9uzZE5ElZ86cyv/hWIYzBI8PkYCHCFBAPASSxVhLIKqAyPKP7LoSH4Y4mWVnlOy0ktnFu+++a2oGIk70Zs2aRdxUKc53caQ7rkIWoZCbLH/88UflnHc40Y8dO6aWsaJLIkqyhHXu3DnILEmSlCMzjIIFCyq7ZQeZLIs5lqtEBPPmzat2mUVeLrOWPGsjgf8ToIDwbfBJAtFt45W7t2Xbq+xekl1MJUqUUIOy+CPMzEBkG6/4OcaNG6eESRzvshU4SZIkip3cTf7+++9jxowZCA0N1bWNV/wYIgLiI2nUqJEqR5aqFi9erGYmsvtKhFC2A2fIkEH9XQRr7dq1WLJkiU/2GY2OewQoIHGvT9kiDxJwnAOJaanJaHUiSLLdd+nSpS6LkO29BQoUgIik+E+YSMAOBCggdugF2mBbAt4UEJmFjBo1Si29uYqFJWdKZLvxG2+8YVtWNMz/CFBA/K/P2WI3CHhTQNwwg1lJwJYEKCC27BYa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   "source": [
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