gt04_scarf-simplical-complex-algorithm.ipynb

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    "# <center>Scarf's algorithm</center>\n",
    "### <center>Alfred Galichon (NYU & Sciences Po)</center>\n",
    "## <center>'math+econ+code' masterclass series</center>\n",
    "#### <center>With python code examples</center>\n",
    "© 2018–2023 by Alfred Galichon. Past and present support from NSF grant DMS-1716489, ERC grant CoG-866274 are acknowledged, as well as inputs from contributors listed [here](http://www.math-econ-code.org/team).\n",
    "\n",
    "**If you reuse material from this masterclass, please cite as:**<br>\n",
    "Alfred Galichon, 'math+econ+code' masterclass series. https://www.math-econ-code.org/"
   ]
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    "# References\n",
    "\n",
    "* Scarf. *The computation of economic equilibria* .\n",
    "* Scarf. \"The computation of equilibrium prices: an exposition.\" In the *Handbook of Mathematical Economics*.\n",
    "* Codenotti. \"Computational aspects of game theory.\" Lectures given at the Bertinoro summer school, 2011."
   ]
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   "source": [
    "First, we load the libraries we shall need."
   ]
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   "id": "c1f2165f",
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    "#!pip install anytree\n",
    "\n",
    "%matplotlib notebook\n",
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "import math\n",
    "from anytree import Node, RenderTree"
   ]
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    "## Simplical subdivisions\n",
    "\n",
    "The simplex $S_{n}$ is the set of $x\\in R^{n}$ such that $x_{i}\\geq 0$ and $%\n",
    "\\sum_{i=1}^{n}x_{i}=1$.\n",
    "\n",
    "When $n=3$, we can therefore represent the simplex by a two-dimensional\n",
    "triangle. We shall work with $n=3$ from now on, although everything extends\n",
    "without difficulties to any larger dimension.\n",
    "\n",
    "A simplical subdivision of $S_{3}$ is a collection of triangles whose union\n",
    "is $S_{3}$ and which are such that the intersection of any two of them is\n",
    "either empty, or a full face of the two of them.\n",
    "\n",
    "A simplical subdivision of $S_{3}$ is called restricted if the only vertices\n",
    "of the subdivision which lie on the frontier of the larger rectangle are the\n",
    "three unit vectors.\n",
    "\n",
    "Consider a restricted simplical subdivision of the simplex $S_{n}$ (recall $%\n",
    "n=3$), and assume it has no subdivision along the boundaries. Call $%\n",
    "v^{1},...,v^{n}$ the unit vectors of the simplex, and $v^{n+1},...,v^{n+k}$\n",
    "the interior vertices of the subdivision.\n",
    "\n"
   ]
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    "## Labelling\n",
    "\n",
    "To each vertex $v$, we associate a label $l\\left( v\\right) \\in \\left\\{\n",
    "1,...,n\\right\\} $.\n",
    "\n",
    "We impose $l\\left( v^{i}\\right) =i$ for $1\\leq i\\leq n$, and the labels of $%\n",
    "v^{i},i>n$ are arbitrary.\n",
    "\n",
    "\n",
    "A simplex is completely labelled if set of the label of its $n$ vertices is\n",
    "exactly $\\left\\{ 1,...,n\\right\\} $.\n"
   ]
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   "source": [
    "Let's construct a `complex` class. Intially the complex is made of the external simplex. The complex has a tree structure, such that each complex that is not simplical contains three subcomplexes."
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    "class Complex:\n",
    "    def __init__(self):\n",
    "        self.root = Node({0,1,2})\n",
    "        self.vertices = [(0.0, 0.0), (4.0, 0.0), (2.0, 3.4641016151377544)]\n",
    "        self.labels = [0, 1, 2]\n",
    "        \n",
    "    def print_tree(self):\n",
    "        for pre, fill, node in RenderTree(self.root):\n",
    "            print(\"%s%s\" % (pre, node.name))\n",
    "        \n",
    "    def plot_complex(self,the_node = None, display_vertices = True ):\n",
    "        if the_node is None:\n",
    "            the_node = self.root\n",
    "        if the_node.children == ():\n",
    "            subdiv = the_node.name\n",
    "            xs,ys = [self.vertices[i][0] for i in subdiv],[self.vertices[i][1] for i in subdiv]\n",
    "            plt.plot(xs+[xs[0]],ys+[ys[0]],'b')\n",
    "            for i,x,y in zip(list(subdiv),xs,ys):\n",
    "                plt.plot(x, y, marker=\"o\", markersize=5, markeredgecolor=\"red\", markerfacecolor=\"green\")\n",
    "                if display_vertices:\n",
    "                    thetag = 'v'+str(i)+':'+str(self.labels[i])\n",
    "                else:\n",
    "                    thetag = str(self.labels[i])\n",
    "                plt.text(x+0.05, y+0.05, thetag, fontsize=10) \n",
    "        else:\n",
    "            for child in the_node.children:\n",
    "                self.plot_complex(child,display_vertices)"
   ]
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   "source": [
    "The initial complex has labels 0, 1 and 2."
   ]
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   "id": "1ed44931",
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    {
     "name": "stdout",
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     "text": [
      "{0, 1, 2}\n"
     ]
    },
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       "};\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 * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.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",
       "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",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / mpl.ratio;\n",
       "    fig.root.removeEventListener('remove', this._remove_fig_handler);\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 / mpl.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 () {\n",
       "    this.close_ws(this, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "    el.addEventListener('remove', this._remove_fig_handler);\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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       "<img src=\"data:image/png;base64,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\" width=\"222.222237920566\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "complex_example = Complex()\n",
    "complex_example.print_tree()\n",
    "complex_example.plot_complex()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1dff0f9c",
   "metadata": {},
   "source": [
    "In order to refine a complex, we input coordinates, and we determine in which simplical subdivision it is among the descendants of node `thenode`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "be4f086f",
   "metadata": {},
   "outputs": [],
   "source": [
    "def Complex_where_is(self,the_node,coord):\n",
    "    x,y=coord\n",
    "    if the_node.children == ():\n",
    "        subdiv = the_node.name\n",
    "        [(x1,y1),(x2,y2),(x3,y3)] = [(self.vertices[i][0],self.vertices[i][1]) for i in subdiv]\n",
    "        c1 = (x2-x1)*(y-y1)-(y2-y1)*(x-x1)\n",
    "        c2 = (x3-x2)*(y-y2)-(y3-y2)*(x-x2)\n",
    "        c3 = (x1-x3)*(y-y3)-(y1-y3)*(x-x3)\n",
    "        if (c1<0 and c2<0 and c3<0) or (c1>0 and c2>0 and c3>0):\n",
    "            return the_node\n",
    "        else:\n",
    "            return False\n",
    "    else:\n",
    "        for child in the_node.children:\n",
    "            location = self.where_is(child,coord)\n",
    "            if location:\n",
    "                return(location)\n",
    "        return False\n",
    "\n",
    "Complex.where_is = Complex_where_is\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0a350819",
   "metadata": {},
   "source": [
    "We use the previous procedure to add a vertex (and its corresponding label) to the complex."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "436da873",
   "metadata": {},
   "outputs": [],
   "source": [
    "def Complex_add_vertex(self,vertex,label):\n",
    "    x,y = vertex\n",
    "    subdiv = self.where_is(self.root,(x,y))\n",
    "    i = len(self.vertices)\n",
    "    for j in subdiv.name:\n",
    "        smaller = Node( subdiv.name.union({i}) - {j},parent = subdiv)\n",
    "    self.vertices.append((x,y))\n",
    "    self.labels.append(label)\n",
    "\n",
    "Complex.add_vertex = Complex_add_vertex"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "b16a8868",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{0, 1, 2}\n",
      "├── {1, 2, 3}\n",
      "├── {0, 2, 3}\n",
      "└── {0, 1, 3}\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "complex_example = Complex()\n",
    "complex_example.add_vertex((1.9838109204056043, 1.6256905459087383),1)\n",
    "complex_example.plot_complex()\n",
    "complex_example.print_tree()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "44a8bfef",
   "metadata": {},
   "outputs": [],
   "source": [
    "def Complex_add_vertices(self,vertices,labels):\n",
    "    for v,l in zip(vertices,labels):\n",
    "        self.add_vertex(v,l)\n",
    "\n",
    "Complex.add_vertices = Complex_add_vertices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "f1e2622f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute('tabindex', '0');\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",
       "            'z-index: 2;'\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(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: relative;' +\n",
       "            'z-index: 0;'\n",
       "    );\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;' +\n",
       "            'left: 0;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: absolute;' +\n",
       "            'top: 0;' +\n",
       "            '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",
       "            /* This rescales the canvas back to display pixels, so that it\n",
       "             * appears correct on HiDPI screens. */\n",
       "            canvas.style.width = width + 'px';\n",
       "            canvas.style.height = height + 'px';\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",
       "        /* User Agent sniffing is bad, but WebKit is busted:\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=144526\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=181818\n",
       "         * The worst that happens here is that they get an extra browser\n",
       "         * selection when dragging, if this check fails to catch them.\n",
       "         */\n",
       "        var UA = navigator.userAgent;\n",
       "        var isWebKit = /AppleWebKit/.test(UA) && !/Chrome/.test(UA);\n",
       "        if(isWebKit) {\n",
       "            return function (event) {\n",
       "                /* This prevents the web browser from automatically changing to\n",
       "                 * the text insertion cursor when the button is pressed. We\n",
       "                 * want to control all of the cursor setting manually through\n",
       "                 * the 'cursor' event from matplotlib */\n",
       "                event.preventDefault()\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        } else {\n",
       "            return function (event) {\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        }\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    canvas_div.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    canvas_div.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",
       "    canvas_div.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    fig.canvas_div.style.cursor = msg['cursor'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "function getModifiers(event) {\n",
       "    var mods = [];\n",
       "    if (event.ctrlKey) {\n",
       "        mods.push('ctrl');\n",
       "    }\n",
       "    if (event.altKey) {\n",
       "        mods.push('alt');\n",
       "    }\n",
       "    if (event.shiftKey) {\n",
       "        mods.push('shift');\n",
       "    }\n",
       "    if (event.metaKey) {\n",
       "        mods.push('meta');\n",
       "    }\n",
       "    return mods;\n",
       "}\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    // from https://stackoverflow.com/q/1114465\n",
       "    var boundingRect = this.canvas.getBoundingClientRect();\n",
       "    var x = (event.clientX - boundingRect.left) * this.ratio;\n",
       "    var y = (event.clientY - boundingRect.top) * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        modifiers: getModifiers(event),\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\", \"webp\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{0, 1, 2}\n",
      "├── {1, 2, 3}\n",
      "│   ├── {2, 3, 6}\n",
      "│   ├── {1, 3, 6}\n",
      "│   └── {1, 2, 6}\n",
      "├── {0, 2, 3}\n",
      "│   ├── {2, 3, 5}\n",
      "│   ├── {0, 3, 5}\n",
      "│   └── {0, 2, 5}\n",
      "└── {0, 1, 3}\n",
      "    ├── {1, 3, 4}\n",
      "    ├── {0, 3, 4}\n",
      "    └── {0, 1, 4}\n"
     ]
    }
   ],
   "source": [
    "vertices = [(1.9838109204056043, 1.6256905459087383),\n",
    " (1.9042334351278964, 0.8458932599902984),\n",
    " (1.5071691386863257, 2.0210807190504823),\n",
    " (2.486580756068415, 1.9771484775902883)]\n",
    "\n",
    "labels = [ 1, 2, 2, 2]\n",
    "\n",
    "complex_example = Complex()\n",
    "complex_example.add_vertices(vertices,labels)\n",
    "complex_example.plot_complex()\n",
    "complex_example.print_tree()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f06b7e0d",
   "metadata": {},
   "source": [
    "# Inputting the vertices and labels graphically"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "2a77bf3d",
   "metadata": {},
   "outputs": [],
   "source": [
    "def prompt_unlabelled_complex():\n",
    "    plt.rcParams[\"figure.figsize\"] = [4.00, 4.00]\n",
    "    plt.rcParams[\"figure.autolayout\"] = True\n",
    "\n",
    "    fig = plt.figure()\n",
    "    the_complex = Complex()\n",
    "    plt.plot( [x for (x,y) in the_complex.vertices]+[0.0],[y for (x,y) in the_complex.vertices]+[0.0])\n",
    "\n",
    "    def mouse_event(event):\n",
    "        x,y = event.xdata,event.ydata\n",
    "        plt.plot(x, y, marker=\"o\", markersize=5, markeredgecolor=\"red\", markerfacecolor=\"green\")\n",
    "        plt.text(x+0.05, y+0.05, 'v'+str(len(the_complex.vertices)), fontsize=10)        \n",
    "        the_complex.add_vertex((x,y),0)\n",
    "\n",
    "    cid = fig.canvas.mpl_connect('button_press_event', mouse_event)\n",
    "\n",
    "    return the_complex \n",
    "\n",
    "\n",
    "def prompt_labels(the_complex):\n",
    "    for i in range(3,len(the_complex.vertices)):\n",
    "        label = int(input (\"Enter a lablel for vertex \"+str(i)+\": \"))\n",
    "        if label  not in {0,1,2}:\n",
    "            raise Exception('Not in {0,1,2}')\n",
    "        the_complex.labels[i]=label\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "52da4e6a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute('tabindex', '0');\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",
       "            'z-index: 2;'\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(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: relative;' +\n",
       "            'z-index: 0;'\n",
       "    );\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;' +\n",
       "            'left: 0;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: absolute;' +\n",
       "            'top: 0;' +\n",
       "            '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",
       "            /* This rescales the canvas back to display pixels, so that it\n",
       "             * appears correct on HiDPI screens. */\n",
       "            canvas.style.width = width + 'px';\n",
       "            canvas.style.height = height + 'px';\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",
       "        /* User Agent sniffing is bad, but WebKit is busted:\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=144526\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=181818\n",
       "         * The worst that happens here is that they get an extra browser\n",
       "         * selection when dragging, if this check fails to catch them.\n",
       "         */\n",
       "        var UA = navigator.userAgent;\n",
       "        var isWebKit = /AppleWebKit/.test(UA) && !/Chrome/.test(UA);\n",
       "        if(isWebKit) {\n",
       "            return function (event) {\n",
       "                /* This prevents the web browser from automatically changing to\n",
       "                 * the text insertion cursor when the button is pressed. We\n",
       "                 * want to control all of the cursor setting manually through\n",
       "                 * the 'cursor' event from matplotlib */\n",
       "                event.preventDefault()\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        } else {\n",
       "            return function (event) {\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        }\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    canvas_div.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    canvas_div.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",
       "    canvas_div.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    fig.canvas_div.style.cursor = msg['cursor'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "function getModifiers(event) {\n",
       "    var mods = [];\n",
       "    if (event.ctrlKey) {\n",
       "        mods.push('ctrl');\n",
       "    }\n",
       "    if (event.altKey) {\n",
       "        mods.push('alt');\n",
       "    }\n",
       "    if (event.shiftKey) {\n",
       "        mods.push('shift');\n",
       "    }\n",
       "    if (event.metaKey) {\n",
       "        mods.push('meta');\n",
       "    }\n",
       "    return mods;\n",
       "}\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    // from https://stackoverflow.com/q/1114465\n",
       "    var boundingRect = this.canvas.getBoundingClientRect();\n",
       "    var x = (event.clientX - boundingRect.left) * this.ratio;\n",
       "    var y = (event.clientY - boundingRect.top) * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        modifiers: getModifiers(event),\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\", \"webp\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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DQN8pGWv0oy7/iAGfpNDkJicIj4KfKcSOtQolGHb2YEESMA8BGSu98xgMYNlnllNrSRgQgJnbz9B0+k7dRJ/6FIdzSrkNaGG14sa9fsxrDx4TTQomtMN24f6wpFZLFXYUwkJGEuAAZaxBDPYXybwDJrC5iRAAnoQ+OTXI9hw9KZoWTpPFmwaVB/29nL2Xr1szpV70fD/LgT/JLEw/b0qaFO1gB5WswkJkIC5Cchc75nBYgbL3POb+knAKAIX7z5Fo6mhSEl9SoeZnari7cr5jZKZ0c5DVv6NtUduiG4lcmfG1sENVAvwMmor25MACTwnwABL5dkgE7jKrlAdCWiewLBVR7H68HXhZ/Fc7tg2xBcOKmWv0uBeiHyKxtOeB3nfd66Gtyrm0zx7OkgC1k5A5nrPDBYzWNZ+f9B+GyZw9V4M/KeEIOmf53NT3q2M9tULmoVI/+WH8dexW0J32Xwe2DhQ/iZ7szhKpSSgIQIMsFQeTJnAVXaF6khA0wQ+XXMMv+5P3WBeOIcbgoaZb4P5mduP0Wz6Lh3vH7vVQONycstEaHpw6RwJqEBA5nrPDBYzWCpMYaogAdMTuPHwGfwmByMhKXXz1cR2FdGxVmHTK8qAxA+XHsTWU3dEj0oFs2J9/3rSS0VkwDw2JQESeIkAAyyVp4RM4Cq7QnUkoFkCX68/gSXhV4R/+bO6ImSEP5wdzVvk8/j1R2g1+3mx0yW9asG3VC7NjgEdIwFrJyBzvWcGixksa78/aL8NEoh8HAufwGDEJ6YeUzOudXl08y5qESR6LNqPkLN3hS01imTHb/28mcWyiJGhESTwXwIMsFSeFTKBq+wK1ZGAJgmM//MUFoSlHrScO4sLdo70h6uTZRy0fOjKA7Sf+/zA6eUf1EZdLzkHTmtycOkUCahIQOZ6zwwWM1gqTmWqIgHjCdx7GgefScF4lpAkhH3Roiz61C9uvGATSui8YC92X7gnJHoXz4lfP6xjQukURQIkYCoCDLBMRVJPOTKB62kCm5EACbyGQODmM/g+5KL4Noe7M8JG+cPN2dGieIVfvIdOP+7V2fR7P2/UKJrDomykMSRAAoDM9Z4ZLGaweI+RgNUQeBgTL7JXT+MShc0jm5XGx34lLM7+lJQUdJgXjgOXHwjblI3uyoZ3XiRAApZFgAGWyuMhE7jKrlAdCWiKwLRt5zBjx3nhU9ZMTtg9OgCZXSwre5UGfOe5u+i2cL+Ov1KyoXKhbJoaDzpDAtZOQOZ6zwwWM1jWfn/Qfhsh8CQ2AfUmBuFxbGr2akijUhjUqKTFeq9ksdp8vwdHrz0UNjYqmwcLutewWHtpGAnYIgEGWCqPukzgKrtCdSSgGQJzgi9g8pazwp8sLo4IGx0gsliWfG0/dQd9lh7UmbhxYH2Uy+9hySbTNhKwKQIy13tmsJjBsqmbic5aJ4GY+ESRvXoQkyAc6O/vhRFNy1i8M0oWq8XMMJy69VjY2qJiPszpXM3i7aaBJGArBBhgqTzSMoGr7ArVkYAmCPy4MwLfbjwtfHFzdkDYqADxBqE1XJuO38JHvxwWptrZAduGNECJ3FmswXTaSAKaJyBzvWcGixkszd9AdNC6CcQmJIk3B6OexglHPmxQHJ+9VdZqnEpOTkGzGTtx7s5TYXObKvkxvWNVq7GfhpKAlgkwwFJ5dGUCV9kVqiMBqyewePcljNlwSvjh4miPXaP8kTuLq1X5tf7vGxi04m9hs70dsGOYH4p5uluVDzSWBLRIQOZ6zwwWM1havGfok0YIxCUmwW9yCG49ihUe9ahbFGPeLm913iUlp6DR1FBciooWtr9bvSAmv1vZ6vygwSSgNQIMsFQeUZnAVXaF6kjAqgks33cVn609LnxwdrBH6Eg/5MuaySp9+u3gNYz4/Ziw3dHeDsHD/VAoh5tV+kKjSUArBGSu98xgMYOllfuEfmiMQEJSMvy/C8H1B8+EZ+/XLoz/ta1otV6+7E/n2oXxrRX7Y7UDQcNJ4AUCDLBUng4ygavsCtWRgNUSeDHj42BvhxANZHxezsjtHOmPvFmtaz+Z1U4oGk4CKidUmMFSGThnOAmQQPoEXt6z9E71gvhOA3uWtLKnLP0RZAsSsA4CMhMqqgRYU6dORVhYGI4fP47IyEjExsYib9688PPzw8iRI3WnWes7HA8fPsSYMWOwdu1a3L59W8hq06YNxo4di2zZjD/rSyZwfX1kOxKwZQJafuvu5bcilZpeubK42PJw03cSMBsBmeu9KgGWp6cnoqOjUalSJRQoUECAPHnyJM6dOwdnZ2esW7cOzZs31wvwvXv34O3tjfPnz6N48eKoUaOGkKX8KVGiBPbu3YucOXPqJet1jWQCN8owdiYBGyDwct2o1lXyY4aG6ka9XNerb4Pi+NSK6nrZwBSkizZEQOZ6r0qAtXv3blSvXh2urv/eazB37lx8/PHHyJ8/P65evQoHB4d0h7Vbt25YtmwZ2rVrh5UrV8LR0VH0GThwIGbNmgXl+yVLlqQr500NZAI3yjB2JgEbIPBy5fOtgxugZB5tVT635sr0NjAF6aINEZC53qsSYL1prEqWLIkLFy6IDFS5cuXeOKzK40AlA6YEYteuXUOePHl07ePi4lCoUCHcv38fN27c+Nd3GZ0rMoFn1Ba2JwFbIvDy2X1vVcyL7ztX1xyCl89WHOBfAsObltacn3SIBCydgMz13uwBVpkyZXD27FnxyE95xPema9GiRejVqxcaNmyI7du3/6dp7969sXDhQijtevToYfC4ygRusFHsSAI2QGDH6TvoveSgztO/BvqgfP6smvR8TvAFTN5yVviWxcURYaMDkDWTkyZ9pVMkYKkEZK73Zg2wli5diu7du6NUqVI4ffo07O3t3zgGgwcPxowZMzBixAgEBgb+p+2cOXMwYMAAKO2mTZtm8HjKBG6wUexIAhonoGSv2ny/B0evPRSeNiqbGwu619Ss109iE1BvYhAexyYKH4c2LoWBDUtq1l86RgKWSEDmeq9qgDV58mTxKFDZ8K4EVMrflf1Xf/zxh9ijld6l7LtS3hxUgixlz9XL1/r168XbhEq71atXpyfutd/LBG6wUexIAhonsPPcXXRbuF/n5fr+9VC5kPFvBVsytmnbzmHGjvPCxGxuTlDeKMzskrqvlBcJkIB8AjLXe1UDrEaNGmHHjh06YsqeKWXDuq+vr14UmzRpgm3btuHHH39Enz59/tNHeWzYuHFjKO22bNmSrsw0sC83vHjxIry8vEQAyIsESEA+ASV71WFeOA5cfiCUNSiVC0t71ZKv2MwaHsbEw2dSMJ7GpWaxRjUrg4/8vMxsFdWTgO0Q0EyAlTZkSh0rpSbWuHHjxF6q8ePH4/PPP093RJXgSWm/YMECKPutXr6U4EsJrhhgpYuSDUjAogjsjbiHjvP36mz6rZ83ahbNYVE2yjJm0uYzmBtyUYjP6e6MXaP84ebMLJYs3pRLAi8S0FyAleZcQkKCqGl1+PBh7Nu3DzVrvnm/BR8R8sYgAW0S6LxgL3ZfuCecq1M8B1Z86K1NR1/h1b2ncSKL9SwhSXz7Zcty6O1TzGb8p6MkYE4Cmg2wFKjKviylmvuXX34pMlpvurjJ3ZzTkLpJQA6BQ1ceoP3cPTrhy/vURt0SnnKUWajU8X+ewoKwS8K63FlcoJxR6OqUfl1AC3WHZpGA1RDQdICVVnqhX79+UAqPvunSt0yDUqqhZ8+eBg+wTOAGG8WOJKBRAj0W7UfI2bvCu+pFsuP3ft6ws7PTqLevdivycSx8AoMRn5gsGnzTujy6ehe1KQZ0lgTMQUDmeq/qJvdXwVPqVSmV15VM1vDhw9/I99atWyhYsKCo3q4UGs2dO7eufVqhUeUoHaXQqHI+oaGXTOCG2sR+JKBFAseuP8Tbs3frXFvcsyb8Sj+/r7Xo8+t8+mr9CSwNvyK+zp/VFSEj/OHs+ObSNbbEh76SgAwCMtd76QHWrl27cPPmTbRv3153rI0CSdl/9cMPP4iaVS4uLqLYqPJWoXLNnj1b/Gnbti0mTJjwL6ZdunTBL7/8IuStWLFCJ3PQoEGYOXMmlO+VNxONuWQCN8Yu9iUBrRH4cOlBbD11R7hVqWBWKKUZbC17lTamNx8+g+/kYCQkpYiPJrWviPdqFtbakNMfErAoAjLXe+kB1uLFi8XjOuXAZ6XWlXIQc1RUlHiLUMlIKecTKhmsDh066KCPGTMGY8eOFUVIlf4vXkrfOnXqIK2UQtphzydOnBClFZTDnhVdxlwygRtjF/uSgJYInL71GM1n7NK5NL9rdTQpb3jmWQtsPl1zDL/uvyZcKZzDDUHDfOHowCyWFsaWPlgmAZnrvfQA69KlS6KsQmhoKCIiIkRw5ezsjKJFiyIgIEAUDH35iJw3BVjKED148ABff/011q1bhzt37ohzB1u3bi2Cshw5jH+1WyZwy5xitIoE1CfQf/lh/HXsllBcJm8WbBpU32azV2n0r96Lgf+UECQlp2axpnaojHbVCqo/ONRIAjZCQOZ6Lz3AssYxkgncGnnQZhIwNYELkU/QeNpOpKTGEZjzfjW0qJTP1GqsUt6wVUex+vB1YXvxXO7YNsQXDva2tenfKgeORlslAZnrPQOsV0wJmcCtcgbSaBIwMYGhK//GmiM3hFSvXO7YyiBCR/ji3adoNDVUF3zO6lQVrSrnN/EIUBwJkIBCQOZ6zwCLARbvMhJQlcCVe9EImBKqeww27b3KaFuVj8FeHIRPfj2CDUdvio9K50l9fGrPLJaq85TKbIMAAyyVx1kmcJVdoToSsDgCo34/hpUHUzdyF8nphh1DuZH75UE6e/sJmk7fqft4XtfqaGrjLwBY3ESmQZogIHO9ZwaLGSxN3CR0wjoIXH8QA7/JIUj8ZxN3YPtK6FAztTwLr38T6LfsEDafvC0+rFDAAxsG+Nj8SwCcIyRgagIMsExNNB15MoGr7ArVkYBFEfhy3Qks25taTLNAtkwIHu7HYpqvGaETNx6h5aww3beLetSEfxnbLMJqUZOYxmiKgMz1nhksZrA0dbPQGcslcOdxLOq/eBxMmwroWqeI5RpsAZb1WnwAQWcihSVVC2fDmo/qMotlAeNCE7RDgAGWymMpE7jKrlAdCVgMgXEbTmHh7tQDjfN4uCB0BA80Tm9wjlx9gLbfPz8I+5c+tVHPxg7CTo8RvycBYwjIXO+ZwWIGy5i5yb4koBeBqKdx8JkUhNiE1MOMv2pZDr18iunV19Ybdf1pH3adjxIYahfLgZV9vW0dCf0nAZMRYIBlMpT6CZIJXD8L2IoEtEVgwqbTmBcaIZzyzOyMXSMDkMnZQVtOSvJmX8Q9vDd/r076qr7eqFXM+BMrJJlLsSRgVQRkrvfMYDGDZVU3A421PgIPouNF9io6PkkYP7p5GfTz9bI+R8xocYd54dh/6b6woH5JTyzrXduM1lA1CWiHAAMslcdSJnCVXaE6EjA7galbz2Jm0AVhRzY3J4SNCkBmF0ez22VNBoSdj0KXn/bpTF7Xvx6qFMpmTS7QVhKwSAIy13tmsJjBsshJT6O0QeBxbALqTQzCk9hE4dCwxqXwScOS2nBORS9SUlLQbu4eHLn6UGhtWCY3fupRU0ULqIoEtEmAAZbK4yoTuMquUB0JmJXArB3nMWXbOWFDFldH7B4dAA9XJ7PaZK3Kg89EoufiAzrz//zEBxUKZLVWd2g3CVgEAZnrPTNYzGBZxCSnEdojEB2XiHqTgvAwJkE490lACQxrUlp7jqrkkZLFajU7DCduPBYam5XPix+6VldJO9WQgDYJMMBSeVxlAlfZFaojAbMRmBd6ERM2nRH63Z0dxN6r7O7OZrNHC4o3n7iNfj8f0rmydUgDlMqTRQuu0QcSMAsBmes9M1jMYJllUlOptgk8i09C/cAgRD2NF4729S2OT5uX1bbTKniXnJyC5jN24eydJ0Lb25XzY2anqipopgoS0CYBBlgqj6tM4Cq7QnUkYBYCC8MuYdyfp4RuVyd7kb3yzOxiFlu0pnTD0ZsNd1+OAAAgAElEQVT45Ncjwi17O2D7UF8Uz5VZa27SHxJQhYDM9Z4ZLGawVJnEVGI7BOISk9AgMBh3HscJp3vWK4qvW5W3HQCSPU1KTkHjaaGIuBstNLWvVhBTOlSWrJXiSUCbBBhgqTyuMoGr7ArVkYDqBH7eewVfrDsh9Do72GPnSH/kzeqquh1aVrj60HUM++2ocNHB3g4hw/1QKIebll2mbyQghYDM9Z4ZLGawpExaCrVNAglJyfCbHIIbD58JAF3qFMb4NhVtE4ZErxOTkhEwJRRX78cILZ1qFcaEduQsETlFa5QAAyyVB1YmcJVdoToSUJXAqgPXMHL1MaHTUcmsjPBDwezMrMgYhBX7r2L0muNCtJODHUJH+CN/tkwyVFEmCWiWgMz1nhksZrA0e+PQMXUJKFmVhlNDceVealblvRqFMOmdSuoaYUPa4hOVbGEwbj6KFV539y6Csa0r2BABukoCxhNggGU8wwxJkAk8Q4awMQlYEYF1R25g8Mq/hcXK221Bw/xQ1NPdijywPlOXhl/GV+tPCsOdHe0RNtIfuT243836RpIWm4uAzPWeGSxmsMw1r6lXQwSU+kxNpu/Ehcinwqu2VQtg2ntVNOShZboSm5D6xmbkk9Q3Nj+oXwyftyhnmcbSKhKwQAIMsFQeFJnAVXaF6khAFQJ/HbuF/ssPC112dsC2Ib4okZu1mdSAv2BXBMb/dVqoyuSkVMz3R07WHFMDPXVogIDM9Z4ZLGawNHCL0AVzElCyV2/N3IUzt1Ori7eolA9z3q9mTpNsSndMfCLqTwrGvejUqvkf+3lhZLMyNsWAzpKAoQQYYBlKzsB+MoEbaBK7kYDFEth26g4+WHpQZ9+mQfVRNp+HxdqrRcO+D7mAwM1nhWuZXRxFFiubG8991OJY0yfTEpC53jODxQyWaWcrpdkUgZSUFLSesxvHrj8Sfjculwc/dqthUwwswdmncYmoNzEIj54lCHMGNyqJwY1KWYJptIEELJoAAyyVh0cmcJVdoToSkEog5Gwkeiw6oNOxYYAPKhbMKlUnhb+awIzt5zFt+znxpYerI3aPDkAWVyfiIgESeAMBmes9M1jMYPHmIwGDCCjZq3d+CMehKw9Ef7/SubC4Zy2DZLGT8QSU7JXPxCA8iUsUwkY0LY3+/iWMF0wJJKBhAgywVB5cmcBVdoXqSEAagT0XovD+gn06+as/qovqRbJL00fB6ROYvOUM5gRfFA1zuDuLvVhuzo7pd2QLErBRAjLXe2awmMGy0duKbhtLoNP8vQiPuCfE1PXKieUf1DFWJPsbSeB+dDx8JgUhJj5JSPr8rbL4oEFxI6WyOwlolwADLJXHViZwlV2hOhKQQuDg5fvi8WDa9esHdeDtlVOKLgrNGIH/bTyN+TsjRKdcWVywa6Q/XJ0cMiaErUnARgjIXO+ZwWIGy0ZuI7ppSgLdFu7HznN3hciaRbNjVV9v2CkVRnmZnUDkk1hRFysuMVnYMvbt8uhet6jZ7aIBJGCJBBhgqTwqMoGr7ArVkYDJCfx97SHazNmtk7u0Vy00KJXL5Hoo0HACY/44icV7LgsB+bK6ImSEH1wcmcUynCh7apWAzPWeGSxmsLR639AvSQT6LDmI7afvCOmVC2bFuv71mL2SxNpQsbcePYNvYAjik1KzWP9rWxHv1y5sqDj2IwHNEmCApfLQygSusitURwImJXDq5mNxLE7ataBbDTQql8ekOijMNAQ+W3scy/ddFcIKZs+E4OF+cHKwN41wSiEBjRCQud4zg8UMlkZuE7qhBoGPfzmEjcdvC1Xl8nngr4E+zF6pAd4AHdfux8D/uxAkJqeI3t+9WxnvVC9ogCR2IQHtEmCApfLYygSusitURwImI3D+zhM0mb4TKanrNeZ2robmFfOZTD4FmZ7AiN+O4rdD14Xg4p7u2DbUFw72fBnB9KQp0VoJyFzvmcFiBsta7wvarTKBwSuOYN3fN4XWkrkzY8vgBrDnYq3yKGRM3aWoaDScEoJ/kliY0bEKWlcpkDEhbE0CGibAAEvlwZUJXGVXqI4ETEKAC7VJMJpFyKAVR7D+n8C4VJ7M2DyIgbFZBoJKLZKAzPWeGSxmsCxy0tMoyyLw4qOmYp7u2M5HTZY1QG+w5uVHuz90qYZmFfho12oGkIZKJcAASyre/wqXCVxlV6iOBIwm8PJm6cnvVMK7NQoZLZcC1CPw4ssJ5fN74M9P+HKCevSpyZIJyFzvmcFiBsuS5z5tswACfN3fAgbBSBNO3nyEFjPDdFJ+6l4DDcuyvIaRWNldAwQYYKk8iDKBq+wK1ZGAUQReLlj5bdsK6Fy7iFEy2dk8BPosOYDtpyOF8sqFsmHdx3VZYsM8Q0GtFkRA5nrPDBYzWBY01WmKpRHgkSuWNiKG23P02kO0fuGIo2W9a6F+SR5xZDhR9tQCAQZYKo+iTOAqu0J1JGAwgZcPDR7Tqhx61CtmsDx2ND+BFw/prlU0B1b18za/UbSABMxIQOZ6zwwWM1hmnNpUbckE/rfxNObvjBAmemZ2Qdgof7g68cBgSx6z9Gw7ePk+3vkhXNdsxYd1UKd4zvS68XsS0CwBBlgqD61M4Cq7QnUkYBCB+9Hx8JkUhJj4JNH/s7fK4MMGXgbJYifLItBxfjj2RtwXRtUrkRO/9KljWQbSGhJQkYDM9Z4ZLGawVJzKVGUtBL7bchazgy8Ic7O7OSFsVADcXRytxXza+QYCey5E4f0F+3QtVn9UF9WLZCczErBJAgywVB52mcBVdoXqSCDDBB49S4DPxCA8iUsUfUc0LY3+/iUyLIcdLJNASkqKeEx46MoDYaB/6VxY1LOWZRpLq0hAMgGZ6730DFZMTAy2bt2KDRs24MCBA7h8+TKSkpJQokQJtG/fHkOHDkXmzJn1Rli0aFFcuXLlte1Pnz6NMmXK6C3vVQ1lAjfKMHYmARUIzNh+HtO2nxOaPFwdsXt0ALK4OqmgmSrUIhByNhI9Fh3QqdswwAcVC2ZVSz31kIDFEJC53ksPsBYsWIAPPvhAwFQcKVeuHB4/fow9e/bgyZMnIhgKDQ1F7ty59QKeFmB17979le0nTJiAfPmMOwZCJnC9nGQjEjATgadxiag3MQhKFku5BjYsiaGNS5nJGqqVRUDJYiklG45dfyRUNCmXB/O71ZCljnJJwGIJyFzvpQdYS5cuxd69ezFkyBCULFlSB/nWrVto0aIFjhw5gk6dOmH58uV6DUBagKX8ByHrkglcls2USwKmIDA35CImbT4jRLk7O4jsVTY3Z1OIpgwLI7D15G18uOyQzqpNg+qjbD4PC7OS5pCAXAIy13vpAdab0ISHh6Nu3bpwcXERWS1n5/T/I2eAJXeyUbrtEoiJT0T9ScG4Fx0vIHzk54VRzYx73G67NC3fc+VHavMZu3Dm9hNhbMtK+TD7/WqWbzgtJAETEtBsgKXsz3J3dxeobt68qdejPQZYJpxZFEUCLxBYsCsC4/86LT7J5OQg6l7lzOxCRhom8NexW+i//LDw0M4O2DbEFyVy678nVsNo6JqNENBsgHXixAlUrFgRTk5OYj+WkslK70oLsAIDA3Hx4kXRRwHUtm1b5MplmmMfZAJPzz9+TwLmIBCbkIQGgcGIfBIn1PfxKYYvWpYzhynUqSKB5OQUNJm+Excinwqt7aoWwNT3qqhoAVWRgHkJyFzvzfqIUNn8rmyCb9WqFf744w+9KL/uLUI3NzfMnDkTvXv31kvOmxrJBG60cRRAAhIILAu/jC/XnxSSnR3tETbSH7k9XCVookhLI7D2yHUMWXlUmOVgb4egYb4okjP1yQIvEtA6AZnrvdkCrI0bN6Jly5ZwdHQU5RsqV66s1zgOHDgQ/v7+qF69ushYRUREYOHChZgxY4Yo/7B27Vq0adNGL1lpYF9urGTGvLy8cPJk6oLDiwS0TCA+MRl+k4Nx81GscLObdxGMa11Byy7TtxcIJCYlo+HUUFy5FyM+7VizECa2r0RGJGATBDQXYCm1qurVq4cHDx5g+vTpGDRokNEDOX/+fPTt2xelSpXC2bNn9ZLHAEsvTGykcQIr9l/F6DXHhZdODnYIHeGP/NkyadxruvcigVUHrmHk6mO6ORAywh8FOAc4SWyAgKYCrOvXr4vg6urVq6LI6JQpU0wyhMnJyWKTfGRkpMhqFStWzGC5MoEbbBQ7koAEAkr2ImBKKK7eT81edKpVCBPaMXshAbVFi0xIUrKYIbjx8Jmws2udIvimDbOYFj1oNM4kBGSu96o+IoyKikL9+vVx5swZ9OzZEz/99BPslFdXTHQpJR+U0g+7d+8W5R8MvWQCN9Qm9iMBGQTWHL6Ooaue778JHuaHwjndZKiiTAsnsGzvFXy57oSwUtmHt2ukP/JwH56FjxrNM5aAzPVetQBLeUswICAABw8eRLt27bBq1So4ODgYy+Zf/cuWLSuCt6NHj6JSJcN/hcsEblKHKYwEjCCQlJyCxtNCEXE3WkhpV60ApnbgG2RGILXqrsqbpL6Tg3HnceqbpL19iuFLvklq1WNK49MnIHO9VyXAiouLQ/PmzREcHIymTZuKNwb1KSqaPprnLZQN6UrJh0yZMom9XcbIlwk8Iz6xLQnIJLDh6E188usRoUJJJG8f6guvXKyBJJO5pcteGHYJ4/48Jcx0dbJH2KgAeLIWmqUPG+0zgoDM9V56gKW82ffuu++Kt/uUx4ObN2+GUlLhTdfs2bOh/FFqWylnC6ZdW7Zsgaenp3iD8MXr2LFj6NixI5TN88pbhsobhcZcMoEbYxf7koCpCCj1j5Qq3mfvpFbxblU5P2Z1qmoq8ZRjpQSexSehfmAQop6mVvPv5+uF0c1Zzd9Kh5Nm60FA5novPcBSgp3BgwcLN5WAycPj1WddfffddyJ4Uq4xY8Zg7NixUA50Xrx4sQ5R2udFihQRZRSUMg2XLl3C4cOHkZiYCF9fXyjlH9IL4NJjLhN4err5PQmoQWDzidvo9/Pzc+i2DG6A0nmzqKGaOiycwA+hFzFx0/PzKJUsVnb39I8xs3C3aB4JvJKAzPVeeoCVFhSlN7ZKoKQUEX1TgKVsYFcKkyp1s5SjdR49eiQCNmW/VefOncXGeVPs65IJPD0O/J4EZBNQzqBrNTsMJ248Fqqals+DeV1ryFZL+VZC4GlcInwmBeFhTIKweGBACQxtUtpKrKeZJJAxAjLXe+kBVsZctYzWMoFbhoe0wpYJBJ+JRM/FB3QI/vzEBxUKZLVlJPT9JQKzdpzHlG3nxKdZXB2xe3QAPFydyIkENEdA5nrPAOsV00UmcM3NTjpkVQSU7FW7uXtw5OpDYXdAmdxY2KOmVflAY+UTeBybgHoTg/AkNlEoG96kFAYElJSvmBpIQGUCMtd7BlgMsFSezlRnTgJh56PQ5ad9OhPWfFwX1QpnN6dJ1G2hBKZuPYuZQReEddndnMQbhe4ujhZqLc0iAcMIMMAyjJvBvWQCN9godiQBExB4b1449l26LyT5lPDEz31qm0AqRWiRwIPoeLEXKzo+Sbj3afMy6OvrpUVX6ZMNE5C53jODxQyWDd9atuX6/kv30WFeuM7plR/WQe3iOW0LAr3NEIEJm05jXmiE6OOZ2VlksVydTFsgOkMGsTEJmJgAAywTA01PnEzg6enm9yQgi0DXn/Zh1/koIb5WsRxY1ddblirK1QiBqKdxIosVm5AsPPq6VTn0rGf4Oa8awUI3NERA5nrPDBYzWBq6VejK6wgcufoAbb/fo/v659614VMyte4cLxJ4E4FxG05h4e5LokleD1eEjvSDiyOzWJw12iDAAEvlcZQJXGVXqI4EBIHeiw9gx5lI8fcqhbJh7cd1TXrQOjFrl8DtR7FoEBiM+KTULNb4NhXQpU4R7TpMz2yKgMz1nhksZrBs6mayRWdP3HiElrPCdK4v7FEDAWXy2CIK+mwggS/WHcfPe6+K3gWyZULICD84OdgbKI3dSMByCDDAUnksZAJX2RWqIwH0W3YIm0/eFiQqFPDAhgE+zF5xXmSIwPUHMfCbHILE5BTRL/CdSuhQo1CGZLAxCVgiAZnrPTNYzGBZ4pynTSYicPb2EzSdvlMn7Ycu1dGsQl4TSacYWyIw6vdjWHnwmnC5aE43bB/qC0dmsWxpCmjSVwZYKg+rTOAqu0J1Nk7gk1+PYMPRm4JC6TxZsGlQfdjb29k4FbpvCIHLUdEImBKCf5JYmP5eFbSpWsAQUexDAhZDQOZ6zwwWM1gWM9FpiGkJXLz7FI2mhiIl9akOZnaqircr5zetEkqzKQJDVv6NtUduCJ9L5M6MrYMbMGC3qRmgPWcZYKk8pjKBq+wK1dkwgWGrjmL14euCQPFc7tg2xBcOzF7Z8Iww3vULkU/ReNrzoP37ztXwVsV8xgumBBIwEwGZ6z0zWMxgmWlaU61MAlfvxcB/SgiS/nmeM+XdymhfvaBMlZRtIwT6Lz+Mv47dEt6WzeeBjQP50oSNDL0m3WSApfKwygSusitUZ6MEPl1zDL/uT92QXChHJgQP8+OGZBudC6Z2+/Stx2g+Y5dO7I/daqBxOZb9MDVnylOHgMz1nhksZrDUmcXUohqBmw+fwXdyMBKSUjdfTWhXEZ1qFVZNPxVpn8AHSw9i26k7wtFKBbNiff96LP2h/WHXpIcMsFQeVpnAVXaF6myQwNfrT2BJ+BXhef6srggZ4Q9nRxaFtMGpIM3l49cfodXs58VrF/esCb/SuaXpo2ASkEVA5nrPDBYzWLLmLeWagUDk41j4KMeaJKYeazKudXl08y5qBkuoUusEeizaj5Czd4Wb1Ytkx+/9vJnF0vqga9A/BlgqD6pM4Cq7QnU2RmD8n6ewICz1YN7cWVywc6Q/XJ14MK+5psHixYvRs2fP16p/7733sGLFCnOZZ5TeQ1ceoP3c5weIL/+gNup68QBxo6Cys+oEZK73zGAxg6X6hKZCOQTuPY2Dz6RgPEtIEgq+aFEWfeoXl6OMUvUikBZgVa5cGVWqVPlPn9q1a+Ojjz7SS5YlNnr/x73Yc/GeMM27eE78+mEdSzSTNpHAawkwwFJ5csgErrIrVGdDBAI3n8H3IReFxzncnRE2yh9uzo42RMDyXE0LsL7++muMGTPG8gw00qLwi/fQ6ce9OinKY8IaRXMYKZXdSUA9AjLXe2awXjGOMoGrN22oyZYIPIyJF9mrp3GJwu2RzUrjY78StoTAIn3VeoCVkpKCDvPCceDyA8Hft1QuLOlVyyLHgkaRwKsIyFzvGWAxwOJdpwEC07adw4wd54UnWTM5YffoAGR2YfbKlEN76NAh1KhRA8pjvb17n2dtXtQRGBiIUaNG4bPPPsO3334LrQdYiu87z91Ft4X7dRiUkg2VC2UzJXrKIgFpBBhgSUP7asEygavsCtXZAIEnsQmoNzEIj2NTs1dDGpXCoEYlbcBz9V0sW7Yszpw5gwsXLsDLy+s/Bij7rI4ePYoTJ05A+X8kLcBq2bIlypQpg8ePHyNv3rwICAiAr6+v+g5I0KhksdrM2Y2j1x8J6Y3K5sGC7jUkaKJIEjA9AZnrPTNYzGCZfsZSoqoE5gRfwOQtZ4VOJWu1e1QAsro5qWqDrSj75ptv8NVXX2HcuHH48ssv/+X26dOnUa5cObGZ/ciRI+K7N71FqARYK1euRJ481l8FffupO+iz9KCOx8aB9VEuv4etTAv6acUEGGCpPHgygavsCtVpnEBMfKLYe3U/Ol542t/fCyOaltG41+ZzLyIiQmSuSpcuLTJZL15ffPGFeCw4efJkDB8+XHy1ZcsW8TixdevWKF68OJ49e4b9+/dj5MiRon/16tWxb98+ODhYdykNJYvVYmYYTt16LPxuUTEf5nSuZr6BomYS0JOAzPWeGaxXDIJM4HqOOZuRgF4EftwZgW83nhZt3ZwdEDYqQLxByEseAW9vbxE0KXuyqlV7HkSUKFECly5dwpUrV1Cw4JsP1n769KkIrs6dO4dffvkF77//vjyDVZK86fgtfPTLYaHNzg7YNqQBSuTOopJ2qiEBwwjIXO8ZYDHAMmxWspfZCcQmJInsVdTTOGHLhw2K47O3yprdLq0bMHv2bHzyyScYOnQopkyZItxVAi4l8PL390dQUJBeCObMmYMBAwagW7duWLJkiV59LLlRcnIKmk7fifORT4WZbarkx/SOVS3ZZNpGAmKvpHKdPHnS5DQYYDHAMvmkokB1CCzZcxlf/5H6n4KLoz12jfJH7iyu6ii3YS13795F/vz5kTt3bly7dg329vYYOHAgZs2ahQULFqB379560dm6dSuaNm2Kxo0bQ/m7Fq71f9/AoBV/C1fs7YAdw/xQzNNdC67RB40SYICl8sDKBK6yK1SnUQJxiUnwmxyCW49ihYc96hbFmLdTf4nxkk/grbfewqZNm7Bjxw7xNmCBAgXw8OFD3L59G9my6VeiQNng3rFjR7Rt2xZr1qyRb7QKGpKSU9BoaiguRUULbe9WL4jJ71ZWQTNVkIBhBGSu98xgvWJMZAI3bAqwFwn8m8DyfVfx2drj4kNnB3uEjvRDvqyZiEklAsq+qS5duohsVYcOHUQmql27dli9erXeFij9fvvtN4wfPx6ff/653v0sveFvB69hxO/HhJmO9nYIHu6HQjncLN1s2mejBGSu9wywGGDZ6G1lvW4nJCXD/7sQXH/wTDjxfu3C+F/bitbrkBVaHh0dLcorODk5oVmzZuLAZiW4UoKsF6+ZM2eiV69eyJw5s+7jhIQE/O9//xNH52TKlAnnz58XGTCtXC/Pz861C+Nbzk+tDK/m/GCApfKQygSusitUp0ECL2YIHOztEMIMgVlGuXPnzli+fLnQnTVrVty5cwcuLi7/ssXOzk4EUUp9rCJFiiA2NhZ///03bt68CVdXV/EG4ctBmVmcMbHSX/ZdwedrTwipSoZ150h/5M3K/YEmxkxxJiAgc71nBosZLBNMUYpQi8DLe1zeqV4Q33GPi1r4/6Vn48aNaNGihfhMyVL99NNP/7FDOeQ5PDxc1LyKioqCUi9KKeHQsGFDDBkyRNTT0uLFPYJaHFVt+sQAS+VxlQlcZVeoTmME+JaWxgZUw+4s3n0JYzacEh4qb7kqNdpyZfl3hk/D7tM1KyEgc71nBosZLCu5DWimUmeo2YydOHcntc5Q6yr5MYN1hkwzMWJjgVWrgD/+AB4+BJQ3Ad9+G+jQAXDloy1DIL9cp61vg+L4lHXaDEHJPhIJMMCSCPdVomUCV9kVqtMQgRcrZStuKZWyS+ZhpWyjh3jDBuUZHxAV9V9Rnp7AwoVAq1ZGq7FFATxpwBZH3bp8lrneM4PFDJZ13Q02au3LZ701r5AXc7tUt1EaJnR7wwaktGkDu+RkXPUAfqoGnM8BlLwP9D4MFH4MpNjbw27dOgZZBmCPjlPOygzCg5gE0XuAfwkMb6rNfWcG4GEXCyDAAEvlQZAJXGVXqE4jBHacvoPeSw7qvPlroA/K58+qEe/M5IbyWLBQIZG5WlIZ+KAVkOD43BanRODHDUD3owCUTNa1a3xcaMBQzQm+gMlbzoqeWVwcETY6AFkzORkgiV1IwPQEZK73zGAxg2X6GUuJJiWgZK/afL8HR689FHIblc2NBd1rmlSHTQpbuhTo3l1krkoM/HdwlcZDCbIuzgQKPQagtO/a1SZRGeP0k9gE1JsYhMexiULM0MalMLBhSWNEsi8JmIwAAyyTodRPkEzg+lnAViTwnMDOc3fRbeF+3Qfr+tdDlUL6HcdCjm8g8M47wOrV+NoPGOf3+nZfBwNjQgG0bw/8/juRGkBg2rZzmLHjvOiZzc1JvFGY2eWFdKEBMtmFBExBQOZ6zwzWK0ZIJnBTTAjKsC0CHX4Ix/7L94XT9Ut6Ylnv2rYFQJa3jRoBO3bg/XbAr5Ver+T9Y8AvylGBDRsC27fLskbTch/GxIssVnR8kvBzVLMy+MjPS9M+0znrICBzvWeAxQDLOu4CG7Vyb8Q9dJy/V+f9b/28UbNoDhulYWK3mcEyMdA3i5u0+QzmhlwUjXK6O2PXKH+4OTOLpeogUNl/CDDAUnlSyASusitUZ+UEOi/Yi90X7gkv6hTPgRUfelu5RxZkPvdgqToY957GwWdSMJ4lpGaxvmxZDr19iqlqA5WRwMsEZK73zGAxg8U7zkIJHLryAO3n7tFZt7xPbdQt4Wmh1lqhWXq8RbjgD6DbMb5FaKrRHf/nKSwIuyTE5c7iIs4odHVyMJV4yiGBDBNggJVhZMZ1kAncOMvY25YI9Fi0HyFn7wqXqxfJjt/7eUM5PJiXCQm8VAdrYVXgfE6g5D2g1xHWwTIhaSEq8nEsfAKDEZ+YLP79Tevy6Opd1NRqKI8E9CYgc71nBosZLL0nIhuqR+D49UdoNTtMp3BRz5rwL51bPQNsSRMruas62l+tP4Gl4VeEzvxZXREywh/Ojvaq2kBlJJBGgAGWynNBJnCVXaE6KyXw4dKD2HrqjrC+UsGsWN+/HrNXMsdSeVz422/A+vXPzyJs3Rp4910WFzUx95sPn8F3cjASklKE5EntK+K9moVNrIXiSEA/AjLXe2awmMHSbxaylWoETt96jOYzdun0ze9aHU3K51VNPxWRgGwCn645hl/3XxNqCudwQ9AwXzg6MIslmzvl/5cAAyyVZ4VM4Cq7QnVWSKD/8sP469gtYXmZvFmwcWB92Ntz75UVDiVNfg2Bq/di4D8lBEnJqVmsqR0qo121guRFAqoTkLneM4PFDJbqE5oKX0/gQuRTNJ4WipTUdQez36+KlpXyExkJaI7A0FV/Y83hG8Kv4rncsW2ILxz4Q0Jz42zpDll1gBUTE4OtW7diw4YNOHDgAC5fvoykpCSUKFEC7du3x9ChQ5E5c+YMjcHDhw8xZswYrF27Frdv30bevHnRpk0bjB07FtmyGX+EiEzgGXKUjW2OwNCVfykhljIAACAASURBVGPNkdRFxyuXO7Zy0bG5OWArDl+8+xSNpj7/MTGrU1W0qswfE7Yy/pbip8z1XnoGa8GCBfjggw8ES8WRcuXK4fHjx9izZw+ePHmCMmXKIDQ0FLlz6/eG1L179+Dt7Y3z58+jePHiqFGjBk6ePCn+KEHb3r17kTNnTqPGTiZwowxjZ00TuHIvGgFTQnWPTaa9Vxltq/KxiaYH3cad++TXI9hw9KagUDpPFmwaxMfhNj4lVHdf5novPcBaunSpCHqGDBmCkiWfn6B+69YttGjRAkeOHEGnTp2wfPlyvcB269YNy5YtQ7t27bBy5Uo4OqYetTBw4EDMmjULyvdLlizRS9brGskEbpRh7KxpAqN+P4aVB1M3/hbJ6YYdQ7nxV9MDTudw9vYTNJ2+U0diXtfqaMoXOjgzVCQgc72XHmC9iVN4eDjq1q0LFxcXkdVydnZ+I1blcWCBAgXg4OCAa9euIU+ePLr2cXFxKFSoEO7fv48bN27867uMjpVM4Bm1he1tg8AN5dX1wGAk/rPpN7B9JXSoWcg2nKeXNk2g77KD2HIytSRJhQIe2DDAhyVJbHpGqOu8zPXerAGWsj/L3d1d0Lx58yby5cv3RrKLFi1Cr1690LBhQ2x/xan2vXv3xsKFC6G069Gjh8GjJBO4wUaxo6YJfLnuBJbtTS2+WCBbJgQP92PxRU2POJ1LI3DixiO0nPVCUd0eNeFfRr8tI6RIAsYSkLnemzXAOnHiBCpWrAgnJyexH0vJZL3pGjx4MGbMmIERI0YgMDDwP03nzJmDAQMGQGk3bdo0g7nLBG6wUeyoWQJ3Hsei/ovHh7SpgK51imjWXzpGAi8T6LX4AILORIqPqxbOhjUf1WUWi9NEFQIy13uzBljK5ndlE3yrVq3wxx9/pAtT2XelvDmoBFnKnquXr/Xr14u3CZV2q1evTlfe6xrIBG6wUeyoWQLjNpzCwt2pB+Dm8XBB6AgegKvZwaZjryRw+OoDtPv++cHmv/SpjXo82JyzRQUCMtd7swVYGzduRMuWLcUmdaV8Q+XKldNF2aRJE2zbtg0//vgj+vTp85/2ymPDxo0bQ2m3ZcuWdOWlgX254cWLF+Hl5SXeTORFAjIJRD2Ng8+kIMQmpB5++1XLcujlU0ymSsomAYsk0GXBPoRdiBK21S6WAyv7eluknTRKWwQ0F2CdPn0a9erVw4MHDzB9+nQMGjRIrxFTgicliFKyXsp+q5cvJfhSgisGWHrhZCMLIDBx0xn8EHpRWOKZ2Rm7RgYgk7ODBVhGE0hAXQL7Iu7hvfl7dUpX9fVGrWI51DWC2myOgKYCrOvXr4vg6urVq6LI6JQpU/QeUD4i1BsVG1oBgQfR8SJ7FR2fJKwd3bwM+vl6WYHlNJEE5BDoMC8c+y/dF8Lrl/TEst615SiiVBL4h4BmAqyoqCjUr18fZ86cQc+ePfHTTz9laCMjN7nzntASgalbz2Jm0AXhUjY3J4SNCkBml9S6brxIwBYJhJ2PQpef9ulcX/txXVQtnN0WUdBnlQhoIsBS3hIMCAjAwYMHxSb0VatWiXpWGbn0LdOglGpQAjhDL5nADbWJ/bRF4HFsAupNDMKT2ETh2LDGpfBJw+eFeLXlLb0hAf0IpKSkoN3cPThy9aHo0LBMbvzUo6Z+ndmKBAwgIHO9V2WTu1IEtHnz5ggODkbTpk3FG4PpFRV9FSel+nvBggXFxnil0OiLx+ukFRpVjtJRCo0q5xMaeskEbqhN7KctArODzuO7reeEU1lcHBE2OgBZMzlpy0l6QwIGEAg6cwe9Fh/U9fzzEx9UKJDVAEnsQgLpE5C53ksPsJSDnd99911RXkF5PLh582a4ubm90evZs2dD+dO2bVtMmDDhX227dOmCX375RRwUvWLFCt1ROcpG+ZkzZ0L5XjlKx5hLJnBj7GJfbRCIjksUe68exCQIhz4JKIFhTUprwzl6QQJGElCyWK1mh+HEjcdCUrPyefFD1+pGSmV3Eng1AZnrvfQAS6lZpeydUi4lYPLw8Hill9999x08PT3Fd2PGjMHYsWPRvXt3LF68+F/tlX1cderUQVophbTDnpWipUppBeXcwzQ5hk4omcANtYn9tENgXuhFTNh0Rjjk7uwg9l5ld3/zMVHa8Z6ekED6BDafuI1+Px/SNdw6pAFK5cmSfke2IIEMEpC53ksPsNKCpfR8vnTpEooWLZpugKU0UMo7fP3111i3bh3u3Lkjzh1s3bq1CMpy5DD+tV6ZwNPjwO+1TeBZfBLqBwYh6mm8cLSvb3F82rystp2mdySQQQLJySloPmMXzt55Inq+XTk/ZnaqmkEpbE4C6ROQud5LD7DSd8/yWsgEbnne0iI1CSwMu4Rxf54SKl2d7EX2yjPzm4+IUtM+6iIBSyHwx9GbGPjrEWGOvR2wfagviufKbCnm0Q6NEJC53jPAesUkkQlcI3OSbhhAIC4xCQ0Cg3HncZzo3bNeUXzdqrwBktiFBLRPICk5BY2nhSLibrRwtn21gpjSIf0TP7RPhh6akoDM9Z4BFgMsU85VynoDgZ/3XsEX606IFs4O9tg50h95s7qSGQmQwGsIrD50HcN+Oyq+dbC3Q8hwPxTK8eaXpAiTBDJCgAFWRmiZoK1M4CYwjyKskEBCUjL8JofgxsNnwvoudQpjfJuKVugJTSYB9QgkJiUjYEoort6PEUo71SqMCe1436g3AtrXJHO9ZwaLGSzt30EW4OGqA9cwcvUxYYmj8kt8hB8KZucvcQsYGppg4QRW7L+K0WuOCyudHOwQOsIf+bNlsnCraZ61EGCApfJIyQSusitUZwEElF/hjaaG4vK91F/hHWoUROA73EtiAUNDE6yAQHyikv0Nxs1HscLa7t5FMLZ1BSuwnCZaAwGZ6z0zWMxgWcM9YNU2rjtyA4NX/i18UN6GChrmh6Ke7lbtE40nATUJLA2/jK/WnxQqnR3tETbSH7k9uH9RzTHQqi4GWCqPrEzgKrtCdWYmoNTzaTJ9Jy5EPhWWtK1aANPeq2Jmq6ieBKyLQGxC6hu4kU9S38D9oH4xfN6inHU5QWstkoDM9Z4ZLGawLHLSa8Wov47dQv/lh4U7dnbAtiG+KJGbtXy0Mr70Qz0CC3ZFYPxfp4XCTE7KCQj+yMkacuoNgEY1McBSeWBlAlfZFaozIwHlTDWlGvWZ26nVqFtUyoc571czo0VUTQLWSyAmXjnDMxj3o1NPQfjYzwsjm5WxXodouUUQkLneM4PFDJZFTHItGrHt1B18sPSgzrVNg+qjbL5Xn8WpRf/pEwmYmsD3IRcQuPmsEJvZxVFksbK58RxPU3O2JXkMsFQebZnAVXaF6sxEQMletZ6zG8euPxIWNC6XBz92q2Ema6iWBLRB4GlcIupNDMKjZwnCocGNSmJwo1LacI5emIWAzPWeGSxmsMwyqbWuNORsJHosOqBzc8MAH1QsmFXrbtM/EpBOYMb285i2/ZzQ4+HqiN2jA5DF1Um6XirQJgEGWCqPq0zgKrtCdWYgoGSv3vkhHIeuPBDa/UrnwuKetcxgCVWSgPYIPIpJQL1JQVCyWco1omlp9PcvoT1H6ZEqBGSu98xgMYOlyiS2JSV7Lkbh/R/36Vxe/ZE3qhfJYUsI6CsJSCUwecsZzAm+KHTkcHcWe7HcnB2l6qRwbRJggKXyuMoErrIrVGcGAp3m70V4xD2hua5XTiz/oI4ZrKBKEtAuAeVNQp9JQYiJTxJOfv5WWXzQoLh2HaZn0gjIXO+ZwWIGS9rEtUXBBy/fF48H065fP6gDb6+ctoiCPpOAVAL/23ga83dGCB25srhg10h/uDo5SNVJ4dojwABL5TGVCVxlV6hOZQLdFu7HznN3hdaaRbNjVV9v2CkVRnmRAAmYlEDkk1jUnxSMuMRkIXfs2+XRvW5Rk+qgMO0TkLneM4PFDJb27yCVPDx67aEozZB2LelVC76lcqmknWpIwPYIjPnjJBbvuSwcz5fVFSEj/ODiyCyW7c0Ewz1mgGU4O4N6ygRukEHsZBUE+iw5iO2n7whbKxfMinX96zF7ZRUjRyOtlcCtR8/gGxiC+KTULNb/2lbE+7ULW6s7tNsMBGSu98xgMYNlhimtPZWnbj7GWzN36Rxb0K0GGpXLoz1H6REJWBiBz9Yex/J9V4VVBbNnQvBwPzg52FuYlTTHUgkwwFJ5ZGQCV9kVqlOJwMe/HMLG47eFtnL5PPDXQB9mr1RiTzW2TeDa/Rj4fReCpOQUAeK7dyvjneoFbRsKvdebgMz1nhksZrD0nohs+GoC5+88QZPpO5GS+v875nauhuYV8xEXCZCASgSG/3YUvx+6LrQV93THtqG+cLDnyyUq4bdqNQywVB4+mcBVdoXqVCAweMURrPv7ptBUMndmbBncAPb8z10F8lRBAqkELkVFo+GUEPyTxMKMjlXQukoB4iGBdAnIXO+ZwWIGK90JyAavJ8D/2Dk7SMAyCAxacQTr//mhUypPZmwexB86ljEylm0FAyyVx0cmcJVdoTrJBEb8dhS//fNoopinO7bz0YRk4hRPAq8moDyqbzxtp+7LH7pUQ7MKfFTP+fJmAjLXe2awmMHi/WcgAWVzrf93IUj857nE5Hcq4d0ahQyUxm4kQALGEvjo50PYdCL1ZZPy+T3w5yd82cRYplrvzwBL5RGWCVxlV6hOIoHP1x7HL3w9XCJhiiaBjBE4efMRWswM03X6qXsNNCzLcikZo2hbrWWu98xgMYNlW3eTiby9/SgWDQKDdQUOv21bAZ1rFzGRdIohARIwlECfJQew/XSk6F65UDas+7guS6YYCtMG+jHAUnmQZQJX2RWqk0SAR3RIAkuxJGAkgZePrFrWuxbql+SRVUZi1Wx3mes9M1jMYGn2xpHl2MuHzI5pVQ496hWTpY5ySYAEMkjgxUPXaxXNgVX9vDMogc1thQADLJVHWiZwlV2hOgkEJmw8jXk7I4Rkz8wuCBvlD1cnHjArATVFkoBBBA5cvo93fwjX9V3xYR3UKZ7TIFnspG0CMtd7ZrCYwdL23WNi7+5Hx8NnUhBi4pOE5M/eKoMPG3iZWAvFkQAJGEug4/xw7I24L8TUK5ETv/SpY6xI9tcgAQZYKg+qTOAqu0J1Jibw3ZazmB18QUjN7uaEsFEBcHdxNLEWiiMBEjCWwJ4LUXh/wT6dmNUf1UX1ItmNFcv+GiMgc71nBosZLI3dLvLcefQsAT4Tg/AkLlEoGdG0NPr7l5CnkJJJgAQMJpCSkoJ3fgjHoSsPhAz/0rmwqGctg+WxozYJMMBSeVxlAlfZFaozIYEZ289j2vZzQqKHqyN2jw5AFlcnE2qgKBIgAVMSCD4biZ6LDuhEbhjgg4oFs5pSBWVZOQGZ6z0zWMxgWfntoY75T+MSUW9iEJQslnINbFgSQxuXUkc5tZAACRhEQMlitZ6zG8euPxL9m5TLg/ndahgki520SYABlsrjKhO4yq5QnYkIzA25iEmbzwhp7s4OInuVzc3ZRNIphgRIQBaBrSdv48Nlh3TiNw2qj7L5PGSpo1wrIyBzvWcGixksK7sd1Dc3Jj4R9ScF4150vFD+kZ8XRjUro74h1EgCJJBhAkoWq/mMXThz+4no27JSPsx+v1qG5bCDNgkwwFJ5XGUCV9kVqjMBgQW7IjD+r9NCkquTPXaPCkDOzC4mkEwRJEACahD469gt9F9+WKiyswO2DfFFidyZ1VBNHRZOQOZ6zwwWM1gWPv3Na15sQpI4czDySZwwpLdPMXzZspx5jaJ2EiCBDBFISk5Bk2mhuHg3WvRrV7UApr5XJUMy2FibBBhgqTyuMoGr7ArVGUlgWfhlfLn+pJDi7GiPsJH+yO3haqRUdicBElCbwNoj1zFk5VGh1sHeDkHDfFEkp7vaZlCfhRGQud4zg8UMloVNd8sxJz4xGX6Tg3HzUawwqpt3EYxrXcFyDKQlJEACehNITEpGw6mhuHIvRvTpWLMQJravpHd/NtQmAQZYKo+rTOAqu0J1RhBYsf8qRq85LiQ4OdghdIQ/8mfLZIREdiUBEjAngVUHrmHk6mO6ezpkhD8K8J4255CYXbfM9Z4ZLGawzD7BLdEA5dduwJRQXL2f+mu3U61CmNCOv3YtcaxoEwnoS0DJSvt/F4IbD5+JLl3rFME3bZiV1pefFtsxwFJ5VGUCV9kVqjOQwJrD1zF01fP9GsHD/FA4p5uB0tiNBEjAUggs23sFX647IcxR9lXuGumPPNxXaSnDo7odMtd7ZrCYwVJ9Qlu6QuWNo8bTQhGR9sZRtQKY2oFvHFn6uNE+EtCHgPJmsO/kYNx5nPpmcK96xfBVK74ZrA87LbZhgKXyqMoErrIrVGcAgQ1Hb+KTX4+InkrNnO1DfeGVizVzDEDJLiRgkQQWhl3CuD9PCduU2nZhowLgydp2FjlWso2Sud4zg8UMluz5a1Xyk5NTqz6fvZNa9blV5fyY1amqVflAY0mABN5M4Fl8EuoHBiHqaerpDP18vTC6OU9nsMV5wwBL5VGXCVxlV6gugwS2nLyNvi+cW7Z5cH2UyctzyzKIkc1JwOIJ/BB6ERM3PT9fVMliZXfn+aIWP3AmNlDmes8MFjNYJp6u1itOObOs1ewwnLjxWDjRtHwezOtaw3odouUkQAKvJfA0LhE+k4LwMCZBtBkYUAJDm5QmMRsjwABL5QGXCVxlV6guAwSCz0Si5+IDuh5/fuKDCgWyZkACm5IACVgTgVk7zmPKtnPC5Cyujtg9OgAerk7W5AJtNZKAzPVelQzWoUOHsG3bNuzfvx/79u3DzZs34eLigtjY1ArZGbmKFi2KK1euvLbL6dOnUaaMcc/SZQLPiK9sqx4BJXvVbu4eHLn6UCgNKJMbC3vUVM8AaiIBElCdwOPYBNSbGIQnsYlC9/AmpTAgoKTqdlCh+QjIXO9VCbDatGmD9evX/4ugsQFW9+7dXzkiEyZMQL58+YwaLZnAjTKMnaUR2H0hCp0X7NPJX/NxXVQrnF2aPgomARKwDAJTtp7FrKALwpjsbk7ijUJ3F0fLMI5WSCcgc71XJcCaNGkSYmJiULNmTfEnb968RmewlIyDrEsmcFk2U65xBN6bF459l+4LIT4lPPFzn9rGCWRvEiABqyDwIDpe7MWKjk8S9n7avAz6+npZhe000ngCMtd7VQKslxHY2dkxwDJ+XlCCiQjsv3QfHeaF66St/LAOahfPaSLpFEMCJGDpBCZsOo15oRHCTM/MziKL5erkYOlm0z4TEGCA9QLEtD1YzGCZYGZRhCDQ9ad92HU+Svy9VrEcWNXXm2RIgARsiEDU0ziRxYpNSBZef92qHHrWK2ZDBGzXVQZYrwiwAgMDcfHiRZEJUwC1bdsWuXLlMskskQncJAZSiMkIHLn6AG2/36OT93Pv2vAp6Wky+RREAiRgHQTGbjiJRbsvC2PzergidKQfXByZxbKO0TPcSpnrvdU+InwZp5ubG2bOnInevXsbTvqfnjKBG20cBZiUQO/FB7DjTKSQWaVQNqz9uC6UR9i8SIAEbIvA7UexaBAYjPik1CzW+DYV0KVOEduCYIPeylzvrS7AGjhwIPz9/VG9enWRsYqIiMDChQsxY8YMJCUlYe3atVDeWtTnSgP7clslM+bl5YWTJ0/qI4ZtrJTAiRuP0HJWmM76hT1qIKBMHiv1hmaTAAkYS+CLdcfx896rQkyBbJkQMsIPTg72xoplfwsmwABLj8GZP38++vbti1KlSuHs2bN69IB4tPiqiwGWXvisvlG/ZYew+eRt4UeFAh7YMMCH2SurH1U6QAKGE7j+IAZ+k0OQmJz6lnrgO5XQoUYhwwWyp8UTYIClxxAlJyeL+leRkZEiq1WsmOEbFGUC18MVNlGBwNnbT9B0+k6dph+6VEezCnlV0EwVJEAClkxg5O9HsergdWFi0Zxu2D7UF47MYlnykBllm8z13uoeEb6JZN26dREeHo7du3dD+buhl0zghtrEfqYlMPDXI/jj6E0htHSeLNg0qD7s7bn3yrSUKU0fAjt37sSyZcugnHhx48YNPHjwAJkzZ0blypXFntIuXbroI4ZtTETgclQ0AqaE4J8kFqa/VwVtqhYwkXSKsTQCMtd7TQVYZcuWxZkzZ3D06FFUqlTJ4HGUCdxgo9jRZAQi7j5Fo6mhuv9AZ3aqircr5zeZfAoigYwQGD58OKZMmSK2NyiZ9+zZs4tAa8+ePWJfadeuXbF06dKMiGRbIwkMWfk31h65IaSUyJ0ZWwc34A8wI5laaneZ671mAixlQ3rFihWRKVMm8QvQ2dnZ4PGUCdxgo9jRZASGrTqK1YdTHwEUz+WObUN84cDslcn4UlDGCJw6dQrZsmVD/vz/DvIvXLgAX19fcXbrpk2b0KxZs4wJZmuDCVyIfIrG00KRdmDI952r4a2Kxh3BZrAx7CiVgMz13iIDrNmzZ0P5o9S2Us4WTLu2bNkCT09P8Qbhi9exY8fQsWNHKAc9K28ZKm8UGnPJBG6MXexrPIGr92LgPyUESf/k/6e8Wxntqxc0XjAlkIAEAt9++y2++OILjBgxAkrtP17qEei//DD+OnZLKCybzwMbB/IlGPXoq6dJ5nqvSoD1119/4ZtvvtER27dvn3hbq1atWrrPvvzyS7Ro0UL8e8yYMRg7diyUA50XL16sa5P2eZEiRUQZBaVMw6VLl3D48GEkJiaKX3sbN26EUhPLmEsmcGPsYl/jCXy65jh+3Z/6GnahHJkQNIyvYRtPlRLSCCj7qGrUqIHatWtj7969rwSjBEqjRo3CZ599BiWAetM1ceJEfPrpp/j8888xfvx4glaRwOlbj9F8xi6dxh+71UDjcizjouIQqKJK5nqvSoClBEk9e/Z8I6xFixahR48ebwywlA3sCxYswIEDB0Ta/NGjR/Dw8BD7rTp37ix0ODgYX3lXJnBVZgyVvJLAzYfP4Ds5GAlJqa9gT2hXEZ1qFSYtEjApgbS9oMojPuWH4MtXlSpVxD7REydOvLZUjNLn2rVraNCgAS5fvoxdu3bBx8fHpHZSWPoEPlh6ENtO3RENKxXMivX967GUS/rYrKqFzPVelQDLqmjjeX0sFhq1tpF7s71frz+BJeFXRKP8WV0RMsIfzo4sIqitUTa/N0q2/quvvsK4ceOgZOZfvJRtDOXKlYMSZB05cuRf3yk/IOfNmyc2tis/IMPCwkRmXpGjZLB4qU/g+PVHaDX7eTHixT1r4v/tnQV0lMfXxp940ECA4B60xTVYBCgUKU6Le8u/pcGhLVCs/bDiVHEoUijFihSJQHC34hpcgwRCjO/MpAmWkE125919d585p+e0zczce38zu3P3zswdn2Ie2itCicoI0MFShjbxjlUC19gUivuPwO1HEaghnsGIjnsGY1ST99DRqwD5kIDJCYg8fCJyVaxYMXmr+dUizlOJbcEJEyZA3B58tfz+++/yxmB8sbe3l0clxPkr8eYqi3kIdJ67F0Gn70jhFfJnxp89vRjFMs9QKJGqcr1nBCuRIVMJXMkMYafJEvju738xK+SirJctgwu2D/KFq5Px28nJCmYFmyTg5eUlz2CJM1nly5dPYODp6SnPjV6+fBl58iR+uSIyMlJuC4rUDMIRK1eunLxFKNI3sGhP4MDl+2jx864EwYt7VEG1wnwQXvuRUCNR5XpPB4sOlppZa0G93nvyHDXGBeJZVIzUamjDEuhes5AFaUhVrI2AuAX95Zdfol+/fjLHlSjC4RKOl3hLNSAgwCCTJ0+eLPvo1asXpk+fblAbVjI9gbYzd2Pn+XuyY69CWbDk06qmF8IezUKADpbG2FUC19gUihPviW08hZ+CzksW7umcETLYF2mdHcmGBJQRuHPnjsxr5eHhIQ+ri+0+kUJGOEnioo7I0G5IEf2IPvLmzYsrV+Juv7JoT2DX+XtoM/PlrVCxTVixgLv2ilCiyQmoXO8ZwUpkuFQCN/nsYIfvJBD2NFJGr548j5b1BtUvhs99PEmNBJQTaNCggdza27p1q0whkzt3boSFheHmzZsysaghRRx4F0mTxT/Pnj0zpAnrKCDw4sULtP51F/ZdeiB79y6aDfO7vkwzpEAku9SIgMr1ng4WHSyNprF5xEzefAZTt56Vwt3SOMnoVQZXJ/MoQ6k2RWDRokXyHUERrWrdujXq1auH5s2bY8WKFQZzCAoKkluKYhEQaR1YzEcg+MwddJqzN0EBkbKhTF7DHGXzaU3JyRGgg5UcIRP/XSVwE6vK7t5B4HFEFKqPDcCjiLjoVZ86RdCnTlEyIwFNCISHhyN79uxwcnKSz9wsXbpUOlfCyXq1iATKPXv2RI4cOV77//v370ebNm0g8mn98MMP6N+/vyZ6U0jiBEQUq+mPO3Dk6kNZoU6J7JjVqSJx6ZyAyvWeEaxEJodK4Dqfi7pS/8fAc5jwz2mpc3oXR+wY7Ae3tIxe6WoQda6sSIC8ePFiaYWbmxtu3br1VsoF8aqFcMLEbcMCBQpA3CIUNw0PHz4s24nol4iGOTry3KC5p8OWf2+h+4L9CWqs96+JkrkymlstyjeCgMr1ng4WHSwjpqblNn0aGS3PXt0Pj5RKfuFbGAPrFbdchamZVRIQT3fFPwHWtWtXzJ49+y07xY3DwMBA6VAJBywqKko+Ayae3BGvWzRt2tQq2ejRKBHFajgtBP/eeCTVb1AqB35q9/rbuHq0y5Z1poOl8eirBK6xKTYrbua2C/h+/Ulpf1pnB4QM9pM3CFlIgARIwBgCG47dwP8WHZRd2NkBm/rUQpHsGYzpkm3NSEDles8IFiNYZpzaakRHRMWg5vhA3Hn8XAr4tFYhfNOghBph7NV2CEREAMuWAWvWAGFhgLgJ+NFHYg8PcHW1HQ42bmls7AvUm7INZ28/kSSals2FKZ+Us3Eq+jWfDpbGY6cSuMam2KS4+TsvYfiaE9J2gzheUwAAIABJREFUF0d7bB/sC48MXABtcjKYyui1a4GuXYG7d9/uMWtWYM4coHFjU0ljPxZOYPXha+i9NO6MnL0dsLW/DwpmTWfhWlO9xAioXO8ZwWIEy6o+dc+jY+AzIQg3HkZIuzpXK4ARH71nVTbSGI0JrF2LF02bwi42FlcyArPLA2fdgSL3gW4HgXyPgBf29rBbtYpOlsZDYy5xMbEvUGdSMC7eDZcqtKqQBxNalTGXOpRrBAE6WEbAS01TlcBTow/bGE5g8Z4r+GblMdnA2cEewYN8kNMtjeEdsCYJvEpAbAvmzSsjV/PLAD0aA1GvXOZzigZmrgU6HQEgIlmhodwutJEZtHx/KAb+eVRa62hvh8ABPsjrntZGrLceM1Wu94xgMYJlNZ+UqJhY+P4QhKsP4jJet62SD//XrJTV2EdDzEBgwQKgUycZufL0f925itdGOFnnpwF5xcUyUb9DBzMoSpFaE3jz+6ZdlXz4nt83Wg+D0fLoYBmNMGUdqASeMk1YOyUE/jxwFQOWi1AC4GBvhyD+okwJPtZNjEDLlsCKFRjuA4zySRrR8EBgRDCAFi2AP/8kSxshsGjPZQxZGZdhX0TMtw3yRQ43nvfU0/CrXO8ZwWIES0+fhSR1FWci6k4KxoX/zkS0rJAHP/BMhFWMrVmNqFMH2LoVbZsDS0onrUnbo8CivwDUrg1s2WJWlSlcOwI886kda1WS6GCpIptEvyqBa2yKzYjjrR6bGWptDWUES1veOpQ2b8dFjFj7r9Rc3FoWOfeyZXDRoSW2qbLK9Z4RLEawdP+pEnlp6k/dhjO34vLSNCmbC1OZl0b342oRBvAMlkUMgyUrIfLuiVcj7j6Jy7v3Wa1C+Jp59yx5yF7TjQ6WxkOlErjGptiEuI3Hb6Dn73GZlUXZ1LcWijKzsk2MvXIjDbhFOGsN0FFcJuMtQuXDYakCftt2Hv+3/pRUjy9HWOooJa6XyvWeESxGsPT1aXhDW/E2WKPpIThxPe5tsA/fz4Gf2/NtMC0GVbytN3fuXClq165dqFq1qhZitZfxRh6sOeWAs1mAIveAroeYB0v7AbE8ieHPxdunAXjwNEoq18vXEwPqFbM8RanRWwToYGk8KVQC19gUqxe39eQtdJv/8nX7df418F4uN6u329wGiseJ/fz8YGdnB+HkWrWDJWAzk7u5p5zFy/8x8Bwm/HNa6pnBxREhX/nBLY2Txett6wqqXO8ZwWIES7efL7GwN/1pJ46Ehkkb6pTwwKxOlXRrj14Uj4iIQOnSpeHs7Aw3Nzfs3LnT+h0sMThiu3D5cmD16pdvETZpArRqxeSiepm8CvV8HBGF6mMD8CgiWkrpV7co/GsXUSiRXZuCAB0sU1BMQR8qgadADVZNhsD2s3fQYfbehFqrvqiOsnkzkZtiAkOGDMGYMWOwbds2DB06FMHBwbbhYCnmyu71T2DS5jOYtvWsNCRTWid5ozC9yyup//VvotVZoHK9ZwSLESzdfmBa/7ILey/dl/rXLJIVC7tV0a0tWip+4MABVKxYEVWqVMHu3bsTFT1+/HgMHjwY33zzDb7//vuEOsePH0f58uXRsWNHzJo1Cz4+PnSwtBw8yrJoAmFPI2UUKzwyRuo5uH5x/M+nsEXrbOvK0cHSeAaoBK6xKVYrbveFe/jkt5fOwfKeXqhUwN1q7TW1YSVKlMCpU6dw7tw5FC789gJQtmxZHDlyBMKhiv88xMbGonr16rLN6dOn4e7uTgfL1APD/nRPYNzGU/g56Ly0I0s6Z2wf7Iu0zoxiWerAqlzvGcFiBMtS5/079Wo3azd2nLsn61Qt5I6ln3rp0g5zKT169Gh8++23GDVqFIYNG/aaGidPnkTJkiUhnKxDhw4l/G369Onw9/fH/PnzZQRLFEawzDWClGupBO49eY7q4wIQERUrVRzWqCS61ShoqeravF50sDSeAiqBa2yKVYo7cPkBWvy8M8G2xd2roJpnVqu0VZVRFy5ckJGrYsWKyUjWq0WcqxLbghMmTMCAAQPkn65evSqdrgoVKkDcIIwvdLBUjRD71TOB0X//i9khF6UJHhlc5BuFrk4OejbJanVXud4zgpXItFEJ3GpnqYaGdZm7F4Gn70iJ5fNlwor/VZPpAlhSRsDLy0uewRJnssS5qvji6emJixcv4vLly8iTJ4/8302aNMHGjRvltmHx4sXpYKUMNWvbGIHbjyJQY3wgIqPjolijm7yHDl4FbIyCPsxVud7TwaKDpY9PwX9aHrv6EI1nhCToPLdLJfgW89CVDZai7IwZM/Dll1+iX79+mDhxolRLOFzC8fL19UVAQID8fytWrEDLli3lVqLYUny1MIJlKaNJPSyNwLerj2PBrstSrVxurgga6AtnR3tLU9Pm9aGDpfEUUAlcY1OsTtynC/Zj07+3pF2l87hh9RfVGb1K5SjfuXMHuXLlgoeHB0JDQ2Fvby/PWImzVuKGYLdu3WTPnTt3lueuRKZ2F5fXH7E9fPgwHj58iHLlyiFjxozo1auXdMZYSMDWCVwPewbvCYGIinkhUYxtXgqfVM5n61gszn6V6z0jWIkMt0rgFje7dKTQyRuP8OHU7Qka/9ahAj54L4eOLLA8VRs0aIANGzZg69at8Pb2Ru7cuREWFoabN28iU6a4nGLxDpYh2k+ePBl9+vQxpCrrkIDVE/j6r6NYsjdU2pnPPS0C+nvD0YFRLEsaeJXrPR0sOliWNNffqUuvxQfx99Ebsk7xHBmw3r8m7O159sqYAVy0aBHat28vo1WtW7dGvXr10Lx5c7ktaEjhFqEhlFjHVglcufcUvhODEBMbF8Wa1LoMmpePO9fIYhkE6GBpPA4qgWtsitWIO3f7CepODsaLuO8pzGhbDo1K57Ia+8xlSHh4OLJnzw4nJyfUr18fS5culc6VcLIMKXSwDKHEOrZMoN+yw/jr4DWJoFC2dNjc1xsO/GFoMVNC5XrPCFYiw6wSuMXMKp0p0u+Pw/jrUNyXVOFs6bCJX1ImG8F27dph8eLFsj/xtuCtW7feOmuVlDA6WCYbBnZkpQTO33mCOpNe/jic3qYcGpfhj0NLGW6V6z0dLDpYljLPk9Tj8r1w+E0MTgizT/64DJqVY5jdVAO3fv16NGzYUHbXtWtXzJ492+Cu6WAZjIoVbZjAl0sOYe2R65JAsewZsKE3jzdYynSgg6XxSKgErrEpViFu8J9H8cf+uIOi+bOkxdZ+PChqFQNLI0jARgicuvkI9ae8vKDza4cKqMcLOhYx+irXe0awGMGyiEmelBLXxFXn8YGI/u+Q6LgWpfBxJV51TnLQIiKAZcuANWuAsDBA3AT86COgdWvA1dWix5rKkYA1E/hs4X78cyIuxcz7uTNiba8aTDFjAQNOB0vjQVAJXGNTdC9u2KrjWLg7Lllf7kxpEDjAh8n6khrVtWvFHh9w9+7bNbJmBebMARo31v2coAEkoEcCx689RKPpryRJ7lwJvsWZJNncY6lyvWcEixEsc8/vJOXfehSBmq8+N9H0fXSomt9i9TWrYmvX4kXTprCLjcWVjMDs8sBZd6DIfaDbQSDfI+CFvT3sVq2ik2XWgaJwWybQdd4+BJy6LRGUy5cJf/GZL7NPBzpYGg+BSuAam6JrcaPW/os5O+IeTM2e0QXBA/lgaqIDKrYF8+aVkav5ZYAejYEox5c1naKBmWuBTkcAiEhWaCi3C3X9yaDyeiVw8MoDNP/p5UP1i7pXQXU+VG/W4VS53jOCxQiWWSd3UsLvPnmOGuMCEBEV91jqsEYl0a1GQYvU1exKLVgAdOokI1ee/q87V/G6CSfr/DQg7yMAon6HDmZXmwqQgC0SaD9rD0LOxW3jVynojj8+87JFDBZjMx0sjYdCJXCNTdGtuLEbTuGX4PNS/6zpnbF9kB/SODvo1h6liou3/1aswHAfYJRP0pKGBwIjggG0aAH8+adSldg5CZBA4gT2XLiHj3/bnfDHZZ95oXJBd+IyEwGV6z0jWIxgmWlaJy32QXikjF6FR8bISl99WBw9vQtbnJ4Wo1CdOsDWrWjbHFhSOmmt2h4FFv0FoHZtYMsWi1GfipCArRFo/esu7L14X5pds0hWLOxWxdYQWIy9dLA0HgqVwDU2RZfiJm06jWkB56TumdI6IWSwH9K7vHKoSJdWKVSaESyFcNk1CZieQMjZu2g/e09Cxys/r4Zy+TKbXhB7TJaAyvWeESxGsJKdgFpWeBQRhepjA/A4IlqK7V+3KL6sXURLFfQni2ew9Ddm1NimCbx48QLNftqJw6FhkkPt4h6Y3bmSTTMxl/F0sDQmrxK4xqboTtyMgLP4YdMZqXcGF0eEfOUHtzROurNDU4UNuEU4aw3Q8ShvEWo6LhRGAu8gEHDqFrrO259Q4+8va+D93G5kpjEBles9I1iMYGk8nZMWF/48Wp69evA0Slb60s8T/T8oZjH6WbQib+TBmlMOOJsFKHIP6HqIebAseuyonE0SEFGsxjNCcPyauNoL1H8vB37pUMEmWZjTaDpYGtNXCVxjU3Ql7tfg8xiz4ZTUOZ2zgzx7lTmds65sMKuyzORuVvwUTgIpJbDx+E30/P1AQrNNfWuhaPYMKe2G9Y0goHK9ZwSLESwjpqbpmj6LjEHN8QG4+yRSdvqZdyF8/WEJ0wmwlZ7EduHy5cDq1S/fImzSBGjVislFbWUO0E7dEIiNfYEPp27H6VuPpc4flcmFaW3K6UZ/a1CUDpbGo6gSuMam6Ebc3B0XMXLtv1JfVyd7mfcqWwYX3ehPRUmABEggNQTWHLkO/yWHZFN7O2BLP28UypY+NV2xTSoIqFzvGcFiBCsVU9K0TZ5Hx8B7fBBuPoqQHXepXgDDG79nWiHsjQRIgAQskEBM7AvUnRyMC3fCpXYtyufBxNZlLFBT61RJ9w7WgQMHsHnzZuzduxd79uzB9evX4eLiggixnZGKEhYWhhEjRmDlypW4efMmcuTIgaZNm2LkyJHIlClTKnp8vYlK4EYrZ4Ud/L77MoauOi4tc3awx7ZBvsjh5mqFltIkEiABEnibwIoDV9F/uXgsFHCwt0Ngfx/ky5KWqDQgoHK91ySCJZyf1eJMyCsltQ7WvXv34OXlhbNnz6JQoUKoWLEiTpw4If/x9PTE7t27kSVLFqOGRSVwoxSzwsZRMbHwmRCEa2HPpHXtq+bDd01LWaGlNIkESIAEEicQHRML34lBCL0f9z3YpnI+jGnO70Et5ovK9V4TB2vcuHF4+vQpKlWqJP8REafUOlgdO3bEwoUL0bx5c/zxxx9wdIzL8O3v74/p06dD/H3+/PlGjYtK4EYpZoWNl+0PxaA/RYImwNHeDkEDfZAnM3+5WeFQ0yQSIIF3EFiy9wq+/uuYrOHkYIfggb7IlSkNmSkmoHK918TBepOPnZ1dqhwssR2YO3duODg4IDQ0FNmzZ0/o+vnz58ibNy/u37+Pa9euvfa3lI6PSuAp1cWa64tfbXUmBePSvafSzNYV82B8S549sOYxp20kQAKJE4iMFtH8QFx/GHd0ppNXfoxs8j5xKSagcr3XlYM1d+5cdO3aFbVr18aWRB6r7datG+bMmQNRr3PnzqkeFpXAU62UFTZcdega+vxxWFombs8E9PdBgazprNBSmkQCJEACyRNYsOsSvl19QlZ0drRHyCBfeGTkedTkyaW+hsr1XlcOVp8+fTB16lQMHDgQ48ePf4vojz/+iF69ekHUmzx5cqqJqwSeaqWsrKHI//LBlG04d/uJtKxZudyY/HFZK7OS5pAACZCA4QQiokQ+wEDcefxcNupRsyCGNCxpeAesmWICKtd7XTlY4tyVuDkonCxx5urNIg7SiwP1ot6KFStSDDq+gUrgqVbKyhquP3YDny86KK2yswM2960FTw9mMLayYaY5JEACKSQwa/sFfLfupGyVxkm8aOGLLOmZEzCFGA2urnK915WD9cEHH8h0DzNnzkT37t3fAii2DevWrQtR759//kkWcDzYNyueP38ehQsXljcTWUxPQLzB1WBaCE7eiHuDq2GpnPixXXnTC2KPJEACJKAzAk8jxZusgbgfHveqxec+hTGofnGdWaEfdelg/TdWwnkSTtSsWbMgzlu9WYTzJZwrOliWPbk3/3sLPRa8fEV+Q++aKJEzo2UrTe1IgARIQCMCPwWdw/iNp6W09C6OMoqVKS3fZVWBnw7Wf1S5Rahiemnbp4heNflxB45efSgF1y2ZHTM7VtRWCUojARIgAQsm8DgiSkaxHj6Lklr2qVMEfeoUtWCN9asaHaz/xo6H3PU7ieM1Dzp9G53n7kswZE2v6iidx/js+/onQwtIgARI4CWBKVvOYMqWs/J/ZHR1xI6v/JDB1YmITEyADtZ/QA1N0yBSNXTp0iXVw6ASeKqVsoKGInrV8pddOHD5gbTGu2g2zO9a2QosowkkQAIkYFoCD59Gofq4ADx5Hi07HlivGL7w9TStEPYGleu9rg6537hxA3ny5JHZ20WiUQ8Pj4TpEZ9oVDylIxKNimzxqS0qgadWJ2tot/P8XbSduSfBlBX/80KF/O7WYBptIAESIAGTE5jwzyn8GHhe9uuezlmexUrrHPd6CYtpCKhc7y3SwZoxYwbEP82aNcOYMWNeo9i+fXssWrQILVq0wNKlSxOeyunduzemTZsG8XfxlI4xRSVwY/TSe9s2v+3Grgv3pBnVCmfB4h5V9W4S9ScBEiABZQTETcIa4wLwNDJGyhjSoAR61CqkTJ4tdqxyvdfEwVq3bh1Gjx6dMHZ79uyBeC6ncuWX20PDhg1Dw4YNZZ0RI0Zg5MiR6NSpE+bNm/famN+9exdVq1ZFfCqF+Meejx8/LlMriMees2bNatQ8UQncKMV03Hj/pftyezC+LOlRFV6FjXuUW8c4qDoJkAAJGETg/9afxG/bLsi62TK4YPsgX7g6ORjUlpWSJ6ByvdfEwRJOUnJnol593uZdDpbA9eDBAwwfPhyrVq3CrVu35LuDTZo0kU6Zu7vxW04qgSc/3NZZo9OcvQg+c0caV6lAZiz7zEs62SwkQAIkQAJJE7j9OAI1xwXieXSsrDTyo/fQqVoBIjMRAZXrvSYOlok4aNaNSuCaGWFBgo6EhsnUDPFFHGwXB9xZSIAESIAEkicwYs0JzNt5SVbM6eaKoIE+cHFkFCt5csnXULne08FKhL9K4MkPt/XV6D5/P7acvCUNK5PHDau+qM7olfUNMy0iARJQRODGw2fwHh+EyJi4KNb/NSuFtlXyKZJmW92qXO/pYNHBUvpp+vf6IzSYtj1BxqyOFVGnZHalMtk5CZAACVgbgW9WHsPiPVekWXkyp0HgAB84Odhbm5ma20MHS2PkKoFrbIrZxX2+6ADWH7sp9RDP4az3r8HoldlHhQqQAAnojUDo/afw+SEIMbEvpOo/tCqDlhXy6M0Mi9NX5XrPCBYjWMom/Nlbj/HBlG14Efd9gJ/alUeDUjmVyWPHJEACJGDNBAYsP4I/D1yVJhbKmg6b+3nDwZ6XhYwZczpYxtBLRVuVwFOhjm6b9Fl6CKsOX5f6F/FIj3/61II9vwx0O55UnARIwLwELt4NR+2JQfgviIWpn5RFk7K5zauUzqWrXO8ZwWIES8nHg18ESrCyUxIgARsn0HvpIaz+74dr0ezpsbE3f7gaMyXoYBlDLxVtVQJPhTq6bDJw+REs/y+UXTBrOmxhKFuX40ilSYAELIvAGXH0YvK2BKV+aV8e9d/n0YvUjpLK9Z4RLEawUjsvk2wnDmP6/hCE6P/i2ONblkbrinlNLocdkgAJkIAtEvjf7wew4Xjc5aH3cmXE31/y8lBq5wEdrNSSS2U7lcBTqZKumg1ZeQyLeJ1YV2NGZUmABPRD4MT1h2g4LSRB4dmdKqJ2Caa/Sc0IqlzvGcFiBCs1czLJNjcfRqDW+MCEhHjfN3sf7arkN6kMdkYCJEACtk6g+/x92HLytsRQJm8mrPq8GlPgpGJS0MFKBTRjmqgEboxeemjLJx30MErUkQRIQO8EDoeGoekrT5At7FYZNYvwCbKUjqvK9Z4RLEawUjofk6x/5/Fz1BgXkPAo6YjGJdG5ekGT9c+OSIAESMBSCMTGxmL27NmYP38+Tpw4gYiICOTMmRNeXl745ptvEL9wq9S3w+w92H72rhRRuYA7lvX0UinOKvumg6XxsKoErrEpmoobs/4kft12QcrMmt4FIYN94erEB0k1HQQKIwESUE7g6dOnaNy4MQICApA5c2ZUr14drq6uuHjxIg4fPox58+ahffv2yvXYd+k+Wv2yK0HO0k+romqhLMrlWpMAles9I1iMYJnks3I/PFJGr55Gxsj+vmlQHJ/WKmySvtkJCZAACVgSgY8//hjLli1D165dMX36dKRNmzZBvRs3biAqKgr58mnzGPMnv+3C7gv3pfzqnlmwqHtVS0Jl8brQwdJ4iFQC19gUzcT98M9pzAg8J+VlTuuEkMF+SOfiqJl8CiIBEiABLQiIqFXt2rVRqVIl7N69G/b25n1weee5u2g7a0+C6Sv+Vw0V8mfWAoVVyFC53jOCxQiW0R+Sh8+iUGNsAB4/j5Z9DaxXDF/4ehrdLzsgARIgAZUEDhw4gIoVK6JKlSrSWUqsjB8/HoMHD5bnqr7//nvER68WL16MNm3aqFTPoL5fvHiBFj/vxMErYbK+b7FsmNulskFtWQkJZ+XEOTpTFzpYdLCMnlPTtp7FpM1nZD8ZXR0R8pUfMro6Gd0vOyABEiAB1QRKlCiBU6dO4dy5cyhc+O1jDWXLlsWRI0dw/PhxuRhny5YNd+/exe3bt3Hr1i0sX74cN2/eRI4cOfDhhx+ialXtt+gCT99Gl7n7ElCt7VUDpfK4qUZnFf0zgqXxMKoErrEpysU9eR4tz16FPY2SsvxrF0G/ukWVy6UAEiABEjAFgdGjR+Pbb7/FqFGjMGzYsNe6PHnyJEqWLAnhZB06dEg6VMKREgfbBw0ahCFDhkDcJny1iMPtc+bMgZOTdj8yRRSryY87cPTqQ6nKByWz47eOFU2Bx+r7ULneM4LFCJZRH6Cfg85j3MZTso90zg7Y8ZUfMqV1NqpPNiYBEiABrQhcuHBBRq6KFSsmI1mvlqFDh8ptwQkTJmDAgAHy7yLi5ejoiOjoaHTo0AGijoeHB7Zu3YqePXvK6JbYUhw7dqxWJkg5m07cxKcLDyTI3NC7JkrkzKipDnoURgdL41FTCVxjU5SKexoZjZrjAnEvPFLK+Z9PYQyuX1ypTHZOAiRAAqYmIHJXiTNY4kxW+fLlE7r39PSUqRcuX76MPHnyyHxX77//vvy7aLNz587XVFm3bh0aNWqENGnSyG3DjBm1c3BiY1+gwbTtOHXzsdSpUemcmNH2pS2mZmYt/alc7xnBSmSWqARuLZNS2DE75CJG//2vNMnVyR47BvshS3oXazKRtpAACdgAgRkzZuDLL79Ev379MHHiRGmxcLiEE+Xr6yvzXYly5coV5M8f9/TXzJkz0b1797foiC1EsZW4efNm1KlTR1N6fx+9jl6LD0mZdnbA5r7e8PRIr6kOehOmcr2ng0UHK1Wfh4ioGPnm4O3Hz2X7bjUKYlijkqnqi41IgARIwJwE7ty5g1y5csmtvtDQUJl6wd/fX+a4mjVrFrp16ybVE9uC6dKlQ2RkJDZt2oS6deu+pba4kbh3714sWrQIbdu21dSsmNgX+GByMM7fCZdym5fLjUkfl9VUB70Jo4Ol8YipBK6xKcrELdx1CcNWx11rdXa0R8ggX3hkdFUmjx2TAAmQgEoCDRo0wIYNG+RZKm9vb+TOnRthYWFyqy9TpkwJoitUqICDBw9i6dKlMmXDm0VsK54/fx6rV6/GRx99pFLlRPteeegq+v5xRP7Nwd4OAf29kT9LOs310ItAles9I1iJzAKVwPUy6d6lZ2R0LHwmBOL6wwhZraNXfoxqEncugYUESIAE9EhARJzEDUARrWrdujXq1auH5s2bY8WKFa+ZM3LkSIwYMQKfffYZfvnll9f+dunSJQgHKyYmRm4n5s2bV3MU0TGxqD0pGJfvPZWyP6mUF2NblNZcD70IVLne08Gig5Xiz8Ef+65g8Ipjsp2Tgx2CBvoid6Y0Ke6HDUiABEjAUgiEh4cje/bsMr1C/fr1ZYRKOFfCyXq1iO1E4USJx53//vvvhG3CJ0+eoFWrVti4cSMaNmwo/2auwu9ow8nTwTKclUlqqgRuEgXN2In4deQ3MRhX7vPXkRmHgaJJgAQUEGjXrh1EhnZR3Nzc5GF1F5e3L+6sXLlSRrlEDiyRWFSc3RKH4sV2YsGCBbF9+3a5xWiuInYZfH8IwrWwZ1KFDlXzY3RT7jIkNh4q13tGsBjBStF3wF8Hr6Lfspf7+4H9fZAvy8uHTlPUGSuTAAmQgAURWL9+vYw+iSIecp49e3aS2u3bt0/myAoJCcHjx4/ldmDTpk3x9ddfI0uWLGa3auHuyxi26rjUQ5yT3T7IF9l5TvatcaGDpfFUVQlcY1NMKk7cUKk7ORgX4m+olM+NSa15Q8WkkNkZCZAACZiAgLjp7T0hELcexd307lq9IL5tzJveb6JVud4zgsUIlsEf5bVHruPLJS9zrGzp543C2ZhjxWCArEgCJKAdgYgIYNkyYM0aICwMEDcBxa2+1q0BV9u48fxmrsKQwX7IylyFr81BOljafSSlJJXANTbFZOJEluAPp27H6VvMEmwyqOyIBEhADYG1a8UeH3D37tv9Z80KzJkDNG6sRrYF9fosMgY1xwfg7pO41zZ6ehfGVx/ytY1Xh0jles8IFiNYBn0d/HPiJj575Z2rjX1qongO7Z6BMEhJViIBEiCBtWvxomlT2MXG4kpGYHZ54Kw7UOQ+0O0gkO8R8MLeHnarVtmEk/VL8HmM3fDyvVgRxcqcju/Fxn9Q6GBp/JWhErjGpphEnHidXS3vAAAgAElEQVSpvfGMEBy/9kj2V++97Pi1A19qNwlcdkICJGA6AmJbUOSeunsX88sAPRoDUY4vu3eKBmauBTqJezoikhUaavXbhU+eR6PGuACEPY2SIPz9PNHvg2KmY67znlSu94xgMYKV7Mcj8NRtdJm3L6He31/WwPu53ZJtxwok8CaBAgUKyIdz31XENfcLFy4QHgmknMCCBUCnTjJy5en/unMV35lwss5PA/KK34uifocOKZejsxbTt57FxM1npNYZXB2x4ys/ZHR10pkVatSlg6WGa5K9qgSusSlGixPRq+Y/78ShK2GyL7/iHpjTuZLR/bID2yQwYMAA3E3sXAyA4OBgiEzYHTt2xPz5820TEK02jkDLlsCKFRjuA4zySbqr4YHAiGAALVoAf/5pnEwdtH74LAo1xgbg8fNoqe2AD4qil18RHWiuXkWV6z0jWImMn0rg6qeLaSXsOHcX7WbtSej0r8+roXy+zKYVwt5snoBI2CjyCF2/fh2bN29GnTp1bJ4JAaSCgJg3W7eibXNgyTteh2l7FFj0F4DatYEtW1IhSH9NJm46jekB56TimdM6QZzFSufyyv6p/kwyicYq13s6WHSw3jlJP/51F/ZcvC/r1PDMit+7VzHJpGYnJPAqAeFUffDBB8iVKxdCQ0Nhb29PQCSQcgKMYCXJ7EF4pDyLFR4ZI+t8/WFxfOZdOOWMrawFHSyNB1QlcI1NMUrc3ov30frXXQl9/PFpVVQpZP4MxUYZxcYmI3DgwAFUrFgRVapUkc+EJFbGjx+PwYMH45tvvpFZr5MqnTp1woIFCzBw4ECINiwkkCoCPIP1TmxjNpzEr8Fx5xuzpnfG9kF+SOPskCrU1tJI5XrPCFYis0QlcD1Nyg6z92D72bg8MpULumPZZ156Up+6akCgRIkSOHXqFM6dO4fChd/+NVy2bFkcOXIEx48fT8gv96Zaz549k4/siudGRN3Spd+xt6OBTRShYwIG3CKctQboeNR2bhG+Opp3Hj+XebEiomLl/x7euCS6VC+o4wE3XnWV6z0dLDpYic7QQ1ceoNlPOxP+trBbZdQsks342cwerIrA6NGj8e2332LUqFEYNmzYa7adPHkSJUuWhHCyDh2KewEgsbJkyRK0bdtWOlbCwWIxLYEHDx5g7NixWL16dcINzkKFCqFZs2YYNGgQMma0snx2b+TBmlMOOJsFKHIP6HrI9vJgvTmbRq49gbk7Lsn/nSOjK4IH+cDF0XajWHSwTPt9k2xvKoEnK9xCKnSbtw9bT92W2pTNmwkrP68GOzs7C9GOalgKAZFOQUSuihUrJiNZr5ahQ4fKbcEJEyZA3B5MqjRo0AAbNmxItp6l2KwnPe7cuQMvLy+cP39enm+rXLkyoqOjsWvXLty7dw/FixeX/55JPCNjTYWZ3JMczZsPI1BrfCAiY+KiWN81fR/tq+a3ptFPkS0q13tGsBIZCpXAUzTyZqp8/NpDNJoekiB9TueK8Cue3UzaUKylExALuDiDJc5klS9fPkFdT09PXLx4UUZN8uTJk6gZwgEQC7+4RSgOt4t/ZzEdgX79+mHy5MkyWiUihS4uLrJzsR0rHNuQkBAZgRw5cqTphFpKT2K7cPlyYPXql28RNmkCtGpl9clFkxuCoauO4ffdV2S13JnSIGigD5wcbPNiicr1ng4WHay3CPRceAAbT9yU//+9XBkhEosyepXcV5bt/n3GjBn48ssvIRbziRMnShDC4RKOl6+vLwICApKEM23aNPTu3Rt169bFpk2bbBeiIsvFJQTh+IrxEJcRXi2rVq2SjteHH36I9evXK9KA3VoigasPnsJnQhCiY19I9ca3LI3WFfNaoqrKdaKDpRzx6wJUAtfYlBSLO3PrMT6YvC2h3S/ty6P++zlT3A8b2A6B+CiUh4dHQooFf39/TJ8+HbNmzUK3bt2ShCG2rPbt2ycTi4oEoyxJE0jNrc3q1atj586d73Sw2rVrh99//53obYzAoD+PYNn+q9LqAlnSYks/bzjaYBRL5XrPCFYiHyqVwC39M+y/5BDWHLku1SyWPQM29K4Je3uevbL0cTO3fvHnqLZu3Qpvb2/kzp0bYWFhuHnzZpLne86cOSPPbqVNmxa3bt1C+vTpzW2GxctP6a3NESNGyO2/xLYIReRqx44dMnIoIogstkXg0t1w+E0Mwn9BLEz5uCyalsttWxDELs1770mbT5w4YXLb6WDRwUogcOHOE9SZFJzwgZvWphw+KsMzMSb/1Flhh4sWLUL79u1ltKp169aoV68emjdvjhUrViRprTj7I24hMoJi+IRI6a3NJ0+eoGHDhti2bZs83ya2CcUhdxHVcnBwwJgxY9C1a1fDFWBNqyLQ94/DWHnomrTJ0yM9NvWpZXM/qOlgaTylVQLX2JQUieu/7AhWHIwLGRfKlg6b+3rDgdGrFDG01crh4eEyl5WTkxPq16+PpUuXSudKOFlJFXH7UNxC3Lhxo3TIWJInkJpbmyLPWI8ePSCc4FfLRx99JNNrlClTJnnBrGGVBM7dfoy6k7fhRdxRLPzUrjwalLKtIyEq13tGsBjBkgRC7z+Fzw9BiPkvXjyxVRm0qJD4zS+r/KahUUYTEJGoxYsXy37c3Nzktl/8rbU3OxcRFHE+KEeOHLh69aqMprAYRiAltzavXLkiI1g3btyQtwmF8yuKSIvRt29fREZGyrcfq1ataphw1rI6Al8sOoh1x25Iu0rkzIj1/rZ1qYkOlsZTWiVwjU0xWNzXfx3Dkr1x13bzuqdBQH/bvbZrMDRWfI2AuIkmFnNRxLbT7NmzkyT0+eef4+eff5aL/KRJk0gyBQRScmtT3OIMCgqCuDHYRKQoeKX89ddfaNGihbztKRxeFtskcPLGI3w4dXuC8TM7VkTdkraTlkfles8IViKfKZXALfEjfD3sGbwnBCIqJi5OPKZ5KbSpnM8SVaVOJGDzBAy9tSnyiuXLl09GEZ8+ffrWA9oxMTFIly6djGKJv7u6uto8W1sF0GPBfmz+95Y0v3QeN6z+orrNpOZRud7TwaKDheGrj2P+rsuSRC43VwQN9IWzo20mnbPVL9i37BZJGpctA9aseZmk8aOPgNatbT5JoyXMEUNubYoM7dWqVYO7u7vM2p5YEX8TT+mILUSxXctimwSOXg3DRzN2JBg/r0sl+BTzsAkYdLA0HmaVwDU2JVlxtx9FoIZ4NiE67tmEUU3eQ0evAsm2YwUrJsBnRix+cA25tSmy6Is3B0URh+MLFnz9UV/xfI7Iti+iWCKlhqOjo8XbTQXVEeg0Zy+Cz9yRAirkz4w/e3rZRBRL5XqvWQQrIiJCXgkWzzWIg5fil5M4cClusST1jEZiU6lAgQIJD5Ym9nfxwKx4X8uYohK4MXqpaPv9un8xc/tF2XW2DC7YPsgXrk48cKyCtS76fOOh3NnlgbPuQJH7QLeDfCjXUsbQ0Fub4obg0aNHZZ6r5cuXy8sHogiHqmXLlhB5y5gmw1JG1bx6HLh8Hy1+3pWgxOIeVVCtcFbzKqWBdJXrvSYOlnCuateuLQ9S5syZEzVr1sSlS5ewd+9eZMuWTT42Kq5sG1LiHaxOnTolWl04cUKGMUUlcGP0MnXbe0+eo8a4QDyLipFdD21YAt1rxv3iZbFBAmJbMG9e4O5dzC8D9GgMRL0S1HCKBmauBTodAZA1KxAayu1CM04TQ25t7tmzB3Xq1IHIh5U1a9aE53LE0zli21B8n4pko3wD0owDaUGi287cjZ3n47aTvQplwZJPrf92qcr1XhMHKz6hoLitIrIGx2dsFreH+vfvj1q1aiE4ONigaRbvYL2IT9xhUKuUVVIJPGWaqK09fuMp/BR0XgpxT+eMkMG+SOvMbQK11C249wULgE6dcCUj4On/unMVr7Vwss5PA/I+AiDqd+hgwQZZt2qG3toUW4Hjxo2T0apr167Jw+5iu1DkwRo4cKDcTWAhAUFg1/l7aDNzdwIMsU1YsYB1zw+V671yBysqKgrijTIRkj548CDKlSv32kyOD2Hv378fFSpUSHaW08FKFpFBFcKeRsro1ZPn0bL+oPrF8LmPp0FtWclKCbRsCaxYgeE+wCifpG0cHgiMEL+HWrQA/vzTSmHQLBKwPQIicNH6113Yd+mBNN67aDbM71rZqkHo2sEKDAyEn5+f3AI8d+7cWwMV//TD8OHDId7NSq7QwUqOkGF/n7LlDKZsOSsru6VxktGrDK5OhjVmLeskUKcOsHUr2jYHlpRO2sS2R4FFfwGoXRvYssU6WWhpFW9sakmbspIhIA66iwPv8UWkbCiTN5PVctO1gzVlyhSZTLBVq1ZYJq59v1HWrVuHRo0aoWnTpli5cmWygxjvYI0fPx4i9C1yvAhA4jFTcZ7LFEUlcFPoZ2wfjyOiUH1sAB5FxEWv+tQpgj51ihrbLdvrnQAjWNqPIG9sas+cEt9JQESxmv64A0euPpT16pTIjlmdKlotNZXrvfItwn79+sknGpLK2HzkyBGULVsW5cuXx4EDB5IdxKRuEaZNmxbTpk2Tj80aW1QCN1Y3U7T/MfAcJvxzWnaV3sUROwb7wS0to1emYKvrPngGS9vh441NbXlTmsEEtvx7C90X7E+ov96/Jkrmymhwez1VVLneK3ewPv30U8ycORNDhgzBd9999xZ3sW1YpEgRFC1aFKdPxy367yr+/v4Qzz+I81oiYiXyu8yZMwdTp06FyEwsomAiGmZIiQf7Zl0RGRNbmidOnDCkG13VeRoZLc9e3Q+PlHp/4VsYA+sZl9ZCVwCobNIEDLhFOGsN0PEobxEaPY0MYM0bm0ZTZgepJCCiWA2mhUA8oyNKg1I58FO75M9Ip1KcWZvp2sESr7jPmjULQ4cOhThv9WY5e/asdK4MdbCSGonffvsNn332WYr6sUUHa9b2C/hu3UmJMY2TA3Z85SdvELKQgCTwRlRlTjngbBagyD2g6yHmwTLZLGG00GQo2ZEaAuuP3cDniw7Kzu3sgE19aqFI9gxqhJmxV107WKbeIkxqHGJjY2X+q9u3byeatTgl46cSeEr0MHXdiKgY1BwfiDuPn8uue9QsiCENS5paDPvTOwGeC1I/gjzvpp4xJRhFIDb2BepN2Yazt5/IfpqWzYUpn7yeBcAoARbSWOV6r3yL0NSH3N81JuLdLZG0VCTOE/+e2qISeGp1MkW7+TsvYfiauG1PF0d7bB/sC48MfODVFGytrg+xhbV8ObB69cu3CJs0AVq1YnJRUww2b2yagiL7UExg9eFr6L30sJRibwds7e+DglnTKZaqbfcq13vlDpahaRpEMtKRI0caRbZEiRI4deoUxMH50qXfcc88GSkqgRtloBGNn0fHwGdCEG48jJC9dK5WACM+es+IHtmUBEgg1QQYwUo1OjbUjkBM7AvUmRSMi3fDpdBWFfJgQqsy2imggSSV671yBysyMlImGn348OE7E42KZ3MqVaqUapziQHqpUqWQJk0a+Tq8s3PqzxWpBJ5qA41suHjPFXyz8pjsxcnBDtsG+SKnWxoje2VzEiCBVBHgGaxUYWMj7Qks2x+KQX+Kmy2Ao70dAgf4IK97Wu0VUSRR5Xqv3MESTMQB9++//15u24mncsTr7aLEP5VTo0YNbN++PQHfjBkzIP4Rua3E24Lx5Z9//pHvab2Z8V08ZvrJJ59APPQsbhmKG4XGFJXAjdErtW2jYmLh+0MQrj54JrtoUzkfxjQvldru2I4ESMBYAgbcIuSNTWMhs70pCLy5frSrkg/fN7Oe9UPleq+JgyUee/bx8YF4eDT+sefLly/L/86SJQvEw6Oeni+faREZ3cV2oXjQed68eQlzJP7/58+fX6ZREGkaLl68KCNj0dHR8Pb2hnifS+TEMqaoBG6MXqlt++eBqxiwXLzQCzjY2yHIyn6BpJYL25GAWQnwxqZZ8VO44QQW7bmMISuPywbODvZyBySHm3Wc31W53mviYIlBefbsmYxGLV68GKGhocicOTPq168vUzfkzZv3tZFOysESB9hFyod9+/bh+vXrctsxY8aM8ryVeFm+S5cucHBwMHzWJFFTJXCjlUthB2IPve6kYFz4bw+9ZYU8+MHK9tBTiITVScByCPDGpuWMBTVJkoA1n+FVud5r5mDpae6qBK41B1u4BaI1U8ojAZMS4I1Nk+JkZ2oIzNtxESPW/is7t6Zb6CrXezpYicxFlcDVTP3EexV5TOpP3YYzt+LymDQpmwtTrTCPiZZMKYsESIAEbJGAyKMoXgG5+yQuj+JntQrh6wYldI9C5XpPB8uKHayNx2+g5+9xmXhF2dS3FopaYSZe3X/CaQAJkAAJ6IDAb9vO4//Wn5KapnV2QMhg/b8EQgdL44mnErhWpoi3pBpND8GJ63FvSX34fg783N4635LSiinlkAAJkIAtEwh/Lt6yDcCDp1ESQy9fTwyoV0zXSFSu94xgWWkEa+vJW+g2/+Vr6Ov8a+C9XG66/iBQeRIgARIgAfMS+DHwHCb8c1oqkcHFESFf+cEtjZN5lTJCOh0sI+ClpqlK4KnRJ6VtRPSq6U87cSQ0TDatU8IDszqlPolrSuWzPgmQAAmQgHUSeBQRhRpjA/AoIloa2K9uUfjXLqJbY1Wu94xgWWEEa/vZO+gwe2+CZau+qI6yeTPp9gNAxUmABEiABCyHwKTNZzBt61mpUKa0TvIsVnoXR8tRMAWa0MFKASxTVFUJ3BT6JddH6192Ye+l+7JazSJZsbBbleSa8O8kQAIkQAIkYBCBsKeRqD42AOGRMbL+4PrF8T+fwga1tbRKKtd7RrCsLIK1+8I9fPLb7gSrlvf0QqUC7pY2p6kPCZAACZCAjgmM23gKPwedlxZkSeeM7YN9kdZZf1EsOlgaT0KVwFWb0m7Wbuw4d0+KqVrIHUs/9VItkv2TAAmQAAnYGAGRD0vcKIyIipWWD2tUEt1qFNQdBZXrPSNYVhTBOnD5AVr8vDPBokXdq6C6Z1bdTXgqTAIkQAIkYPkERv/9L2aHXJSKemRwkW8UujoZ/1ydlpbTwdKSNgCVwFWa0mXuXgSeviNFlM+XCSv+Vw12dnYqRbJvEiABEiABGyVw+1EEaowPRGR0XBRrdJP30MGrgK5oqFzvGcGykgjWsasP0XhGSII1c7tUgm8xD11NdCpLAiRAAiSgLwLfrj6OBbsuS6VzubkiaKAvnB3tdWMEHSyNh0olcFWmfLpgPzb9e0t2XzqPG1Z/UZ3RK1Ww2S8JkAAJkIAkcC3sGXwmBCIq5oX877HNS+GTyvl0Q0fles8IlhVEsE7dfIT6U7YnWPJbhwr44L0cupngVJQESIAESEC/BL5acRRL94VKA/K5p0VAf284OugjikUHS+N5pxK4ClN6LT6Iv4/ekF0Xz5EB6/1rwt6eZ69UsGafJEACJEACrxO4cu8pfCcGISY2Loo1qXUZNC+fRxeYVK73jGDpPIJ17vYT1J0cjBdx8xoz2pZDo9K5dDGxqSQJkAAJkIB1EOi37DD+OnhNGlMoWzps7usNBx380KeDpfH8Uwnc1Kb0++Mw/joUN6kLZ0uHTTqZ1KbmwP5IgARIgATMR+D8nSeoM+nlj/3pbcqhcRnL/7Gvcr1nBEvHEazL98LhNzE4ISw7+eMyaFZOH2FZ830NUDIJkAAJkIAKAq8eVymWPQM29Lb84yp0sFTMhHf0qRK4KU159WBh/ixpsbWffg4WmpID+yIBEiABEjA/gTcvXP3aoQLqWfiFK5XrPSNYOo1gvXk1dlyLUvi4kn6uxpr/q4AakAAJkAAJmJrAZwv3458TcSmD3s+dEWt71bDolEF0sEw9A5LpTyVwU5kybNVxLNwdl9wtd6Y0CBzgo6vkbqbiwH5IgARIgAQsh8Dxaw/RaPorSa87V4JvcctNeq1yvWcES4cRrFuPIlDz1ecJmr6PDlXzW84njJqQAAmQAAnYLIFXn20rly8T/rLgZ9voYGk8TVUCN4Uprz6wmT2jC4IH6u+BTVNwYB8kQAIkQAKWR+DglQdo/tPOBMUWda+C6p5ZLU9RxW8PM4KlswjW3SfPUWNcACKi4h7XHNaoJLrVKGiRE5dKkQAJkAAJ2CaB9rP2IOTcXWl8lYLu+OMzL4sEoTKgQgdLZw7W2A2n8Evweal11vTO2D7ID2mcHSxy4lIpEiABEiAB2ySw58I9fPzb7gTjl33mhcoF3S0OBh0sjYdEJXBjTHkQHimjV+GRMbKbrz4sjp7ehY3pkm1JgARIgARIQAmB1r/uwt6L92XfNYtkxcJuVZTIMaZTles9I1g6imBN2nwG07aelRpnSuuEkMF+SO/iaMzcYlsSIAESIAESUEJg+9k76DB7b0LfKz+vhnL5MiuRldpO6WClllwq26kEnkqV8CgiCtXHBuBxRLTsol/dovCvXSS13bEdCZAACZAACSgl8OLFCzT7aScOh4ZJObWLe2B250pKZaa0c5XrPSNYOolgzQg4ix82nZHaZnBxRMhXfnBL45TSucT6JEACJEACJKAZgYBTt9B13v4EeX9/WQPv53bTTH5yguhgJUfIxH9XCTw1qoY/j5Znrx48jZLNv/TzRP8PiqWmK7YhARIgARIgAc0IiCiWSDx64vojKbP+eznwS4cKmslPTpDK9Z4RLB1EsH4NPo8xG05JTdM6O2DHYD9kTuec3Lzh30mABEiABEjA7AQ2Hr+Bnr8fTNBjU99aKJo9g9n1EgrQwdJ4GFQCT6kpEVExMnp190mkbPpZrUL4ukGJlHbD+iRAAiRAAiRgFgKxsS/w4dTtOH3rsZT/UZlcmNamnFl0eVOoyvWeESwLj2DN3XERI9f+K7V0dbKXea+yZXCxiIlJJUiABEiABEjAEAJrjlyH/5JDsqq9HbClnzcKZUtvSFOldehgKcX7ducqgafElOfRMfAeH4SbjyJksy7VC2B44/dS0gXrkgAJkAAJkIDZCcTEvkDdycG4cCdc6tKifB5MbF3G7HqpXO8ZwbLgCNbvuy9j6KrjUkNnB3tsG+SLHG6uZp+QVIAESIAESIAEUkpgxYGr6L/8iGzmYG+HwP4+yJclbUq7MWl9OlgmxZl8ZyqBJy89rkZUTCx8JgThWtgz+d/tq+bDd01LGdqc9UiABEiABEjAogiIdc1vYhBC78eta20q58OY5uZd11Su94xgJTL9VAI3dLYv2x+KQX8eldUd7e0QNNAHeTKb19M3VHfWIwESIAESIIHECCzZewVf/3VM/snJwQ7BA32RK1Mas8FSud7TwbJABys6JhZ1JgXj0r2nUrvWFfNgfEvz71Wb7RNAwSRAAiRAAlZBIDJa7M4E4vrDuLPFnbzyY2ST981mGx0sjdGrBG6IKasOXUOfPw7LquK2RUB/HxTIms6QpqxDAiRAAiRAAhZNYMGuS/h29Qmpo7OjPUIG+cIjo3nOF6tc7xnBsrAIlsgX8sGUbTh3+4nUrFm53Jj8cVmL/rBQORIgARIgARIwlIDI71hzfCDuPH4um/SoWRBDGpY0tLlJ69HBMinO5DtTCTw56euP3cDni+Iy3trZAZv71oKnh2VkvE1Od/6dBEiABEiABAwhMGv7BXy37qSsmsbJASGDfZElvfY5HlWu94xgWVAES7zZ1GBaCE7eiHuzqWGpnPixXXlD5irrkAAJkAAJkIBuCDyNFG/sBuJ+eNwrJZ/7FMag+sU1158OlsbIVQJ/lymb/72FHgtevjq+oXdNlMiZUWPrKY4ESIAESIAE1BP4Kegcxm88LQWld3GUUaxMabV9Z1fles8IloVEsET0qsmPO3D06kOpUd2S2TGzY0X1M5wSSIAESIAESMAMBB5HRMko1sNnUVJ679pF0LduUU01oYOlKW61r2snZUrwmTvoNGdvwp/X9KqO0nkyaWw5xZEACZAACZCAdgSmbDmDKVvOSoEZXR2x4ys/ZHB10kwBOliaoY4TpBJ4YqaI6FWrX3Zh/+UH8s/eRbNhftfKGltNcSRAAiRAAiSgLYGHT6NQfVwAnjyPloIH1iuGL3w9NVNC5XrPLcJEhlEl8MRmzc7zd9F25p6EP634nxcq5HfXbIJREAmQAAmQAAmYi8CEf07hx8DzUrx7Omd5Fiuts6Mm6qhc7+lgWYCD1ea33dh14Z7UpFrhLFjco6omE4tCSIAESIAESMDcBMRNwupjA/AsKkaqMqRBCfSoVUgTtehgaYL5pRCVwN80Zf+l+2j5y66E/72kR1V4Fc6iscUURwIkQAIkQALmI/D9un8xc/tFqUC2DC7YPsgXrk4OyhVSud4zgmXmCJY42C4OuItSMX9mLO/pBTuRYZSFBEiABEiABGyEwO3HEag5LhDPo2OlxSM/eg+dqhVQbj0dLOWIXxegEvirko6EhsnUDPFFHGwXB9xZSIAESIAESMDWCIxYcwLzdl6SZud0c0XQQB+4OKqNYqlc7zWLYEVERGDMmDFYsmQJrly5And3d9SvXx+jRo1Cnjx5UjSPwsLCMGLECKxcuRI3b95Ejhw50LRpU4wcORKZMhmf2kAl8FcN7T5/P7acvCX/V5k8blj1RXVGr1I0E1iZBEiABEjAWgjcePgMtcYHIirmhTTp/5qVQtsq+ZSap3K918TBEs5V7dq1sXPnTuTMmRM1a9bEpUuXsHfvXmTLlg27du1C4cKFDYJ47949eHl54ezZsyhUqBAqVqyIEydOyH88PT2xe/duZMli3BkmlcDjjfz3+iM0mLY9weZZHSuiTsnsBjFgJRIgARIgARKwRgJf/3UMS/ZekablyZwGgQN84ORgr8xUleu9Jg7Wt99+i9GjR0vHaNOmTUifPr2ENWnSJPTv3x+1atVCcHCwQQA7duyIhQsXonnz5vjjjz/g6Bh3ldPf3x/Tp0+H+Pv8+fMN6iupSiqBx8v8YtFBrDt2Q/6neA5nvX8NRq+MGjU2JgESIBislTgAABA/SURBVAES0DuB0PtP4fNDEGJi46JYP7Qqg5YVUrbLlRIGKtd75Q5WVFQUPDw8ILb1Dh48iHLlyr1me5kyZXD06FHs378fFSpUeCcXsR2YO3duODg4IDQ0FNmzv4z4PH/+HHnz5sX9+/dx7dq11/6WEtiirkrgov9ztx+j7uRteBE3f/BTu/JoUCpnStVkfRIgARIgARKwOgIDlh/BnweuSrsKZU2Hzf284WCv5vKXyvVeuYMVGBgIPz8/uQV47ty5tyaCiGyJCNfw4cPluap3lblz56Jr165yu3HLli1vVe3WrRvmzJkDUa9z586pnnQqgQul+iw9hFWHr0v9inikxz99asFe0eRJNQQ2JAESIAESIAEzELhw5wnqTArGf0EsTP2kLJqUza1EE5XrvXIHa8qUKejbty9atWqFZcuWvQVo3bp1aNSokTykLg6tv6v06dMHU6dOxcCBAzF+/Pi3qv7444/o1asXRL3JkyenejBUAr94Nxy1JwZpMnFSDYANSYAESIAESMCMBPyXHMKaI3GBiKLZ02NjbzWBCJXrvXIHq1+/ftLZEU6WOHP1Zjly5AjKli2L8uXL48CBA+8cTnHuSjhhwskSZ67eLKtXr5aOmqi3YsWKVE8NVcDvPH6O+lO24V54ZIJuv3aoAAfmvUr1WLEhCZAACZCA9RE4e/sJxm08lWDYL+3Lo/77pj9Ko2q9F4ord7A+/fRTzJw5E0OGDMF333331iwQ24ZFihRB0aJFcfr06XfOkg8++ACbN2+W/XXv3v2tumLbsG7duhD1/vnnn2RnXDzYNyueP39ebmmKm4mmLPN3XsLwNabt05T6sS8SIAESIAESsEQC5fJlwsrPq5tcNV07WD169MCsWbMwdOhQeZPwzSLSLQjnyhAHSzhPwokS/YnzVm8W4XwJ58pSHSyvMVtx42GEyScIOyQBEiABEiABayaQPaML9nxTx+Qm6trB4hbhy/kgcnuIHB/xpVj2DCafLOyQBEiABEiABKyJQHpXR/T0Loy6CnJF6trB4iH3t6f5lXtPkd3NRfkTANb0AaMtJEACJEACJGBqArp2sAxN0yBSNYinbt5VDE3TIFI1dOnSJdXjoBJ4qpViQxIgARIgARIgAZMSULneKz/kHhkZKRONPnz48J2JRsWzOZUqVXonuBs3bsh3C0X2dpFoVPQbX+ITjYqndESiUfE+YWqLSuCp1YntSIAESIAESIAETEtA5Xqv3MESKMQB9++//x7VqlWTT+WkS5dOEop/KqdGjRrYvv3lu3wzZsyA+KdZs2bygehXS/v27bFo0SK0aNECS5cuTXgqp3fv3pg2bRrE38VTOsYUlcCN0YttSYAESIAESIAETEdA5XqviYMlHnv28fHBnj17Eh57vnz5svxv8TCzeKBZPNQcX0RGd7Fd2KlTJ8ybN+81knfv3kXVqlURn0oh/rHn48ePy9QKoq+sWbMaRV8lcKMUY2MSIAESIAESIAGTEVC53mviYAkSz549k9GoxYsXy+29zJkzo379+jJ1g3hD8NXyLgdL1Hvw4IF8WmfVqlW4deuWfHewSZMm0ilzd3c3GrxK4EYrxw5IgARIgARIgARMQkDleq+Zg2USEhp1ohK4RiZQDAmQAAmQAAmQQDIEVK73dLASga8SOGc7CZAACZAACZCAZRBQud7TwaKDZRmznFqQAAmQAAmQgMYE6GBZEXCNTaE4EiABEiABEiCBJAjQwdJ4aqgErrEpFEcCJEACJEACJEAHyzLmAB0syxgHakECJEACJEACKgmoXO95BiuRkVMJXOVEYd8kQAIkQAIkQAKGE1C53tPBooNl+ExkTRIgARIgARKwIgJ0sDQeTJXANTaF4kiABEiABEiABJIgoHK9ZwSLESx+8EiABEiABEjAJgnQwdJ42FUC19gUiiMBEiABEiABEmAEyzLmAB0syxgHakECJEACJEACKgmoXO+5RcgtQpVzl32TAAmQAAmQgMUSoIOl8dCoBK6xKRRHAiRAAiRAAiTALULLmAN0sCxjHKgFCZAACZAACagkoHK95xZhIiOXIUMGREVFoXDhwirHlX2TAAmQAAmQAAmYkcD58+fh5OSEx48fm1wLOliJIM2RIwfCw8ORL18+kwMXgykKnTeTozVLhxxPs2BXIpRjqQSrWTrlWJoFuxKhqsfyypUrSJcuHW7evGly/elgmRzpuztUGY7U2BSKA8DxtJ5pwLHkWFoPAeuxRM+fSzpYGs9DPU8WjVHpQhzHUxfDZJCSHEuDMOmiEsdSF8NkkJJ6Hks6WAYNsekq6XmymI6C9fTE8eRYWg8B67GEn0uOpSUQoIOl8Sjwg68xcMXiOJ6KAWvYPcdSQ9iKRXEsFQPWsHs9jyUdLA0nihCl58miMSpdiON46mKYDFKSY2kQJl1U4ljqYpgMUlLPY0kHy6AhNl0lPU8W01Gwnp44nhxL6yFgPZbwc8mxtAQCdLAsYRSoAwmQAAmQAAmQgFURoINlVcNJY0iABEiABEiABCyBAB0sSxgF6kACJEACJEACJGBVBOhgWdVw0hgSIAESIAESIAFLIEAHyxJGgTqQAAmQAAmQAAlYFQE6WFY1nDSGBEiABEiABEjAEgjQwbKEUaAOJEACJEACJEACVkWADpZVDSeNIQESIAESIAESsAQCdLA0GoWIiAiMGTMGS5YswZUrV+Du7o769etj1KhRyJMnj0ZaUIyxBA4cOIDNmzdj79692LNnD65fvw4XFxeI8WXRF4GnT59i06ZNWLt2Lfbt24dLly4hJiYGnp6eaNGiBfr164f06dPryygb1nbSpEkICQnBsWPHcPv2bfmZzJEjB3x8fDBo0KCEVzRsGJFuTb9//z6KFy+OO3fuoFixYjh16pQubKGDpcEwiQ967dq1sXPnTuTMmRM1a9aUX+Zikc6WLRt27dqFwoULa6AJRRhLoGnTpli9evVr3dDBMpaqedrPmjULPXr0kMJF5u+SJUvi0aNH8nP6+PFj+YUeHBwMDw8P8yhIqSkikDVrVoSHh6N06dLInTu3bHvixAmcOXMGzs7OWLVqFT788MMU9cnKlkGgc+fOWLBgAV68eEEHyzKGxHK0+PbbbzF69Gh4eXnJX8zxv4rFL67+/fujVq1a8oucxfIJjBs3DiLyUalSJfmP+IVMB8vyxy0xDcUX9u7du9G3b18UKVIkocqNGzfQsGFDHDp0CG3atMHixYv1aaCNab1jxw5UqFABrq6ur1n+888/4/PPP0euXLnk7oGDg4ONkdG3uVu3bkWdOnXw6aef4rfffqODpe/hNK32UVFR8hdwWFgYDh48iHLlyr0moEyZMjh69Cj2798vvxxY9EXAzs6ODpa+hswgbUVUuVq1anJsRVRLREBY9EtAONDnzp2TES0RqWTRB4Fnz57JiGR8BLJo0aJ0sPQxdNpoGRgYCD8/P7kFKD7gbxYR2RIRruHDh2PEiBHaKEUpJiNAB8tkKC2qIxGlTJcundRJnLMTW/ss+iUgtntPnz6Ns2fPyjN2LPog8NVXX2H8+PEICgpCvnz5ULBgQTpY+hg6bbScMmWK3IJo1aoVli1b9pbQdevWoVGjRhBne1auXKmNUpRiMgJ0sEyG0qI6On78OEqVKgUnJyd5HktEslj0SUBsBXfq1Aki+nHy5EnY29vr0xAb01rs7IhdnY4dO2L27Nny3DIdLBubBMmZK24iTZ48WTpZ4szVm+XIkSMoW7YsypcvD3FDjUVfBOhg6Wu8DNVWHH4Xh+AbN26MNWvWGNqM9SyAwIQJE+RWoDjwLhwq8e/i/JUYRx7DsIABMkCF2NhYeWb5woUL8sZglixZ6GAZwM3mqoiDeTNnzsSQIUPw3XffvWW/2DYU5wPErysRwmbRFwE6WPoaL0O0Xb9+vYwqOzo6yvQN4pwki34IiAPR4mB0fMmbNy8WLlwIb29v/Rhh45pOnToVffr0wdy5cyFuEIrCCJaNT4rEzI//JTx06FB5k/DNIs4ECOeKDpY+Jw8dLH2OW1Jai4hH9erV8eDBA4jt/d69e1uXgTZkjbhYJHJiiVyDW7ZskT9wxQ9dFssmEBoaKi8iiGijOHsVX+hgWfa4mUU7bhGaBbtmQulgaYZauaCrV69K50pc5Ref24kTJyqXSQHqCYib3GK7SdziFsmBRXoVFsslILblRTqjw4cPo0SJEnSwLHeozK8ZD7mbfwxUakAHSyVd7fq+e/euTAAsznt06dJFHqoVY8tiHQTEuSyRzX3YsGEyosViuQTE5y5Tpkxvbc2LhN3CQU6TJg0qV64sDfj7778t+rUFZnJXPM8MTdMgUjWMHDlSsTbs3tQE6GCZmqj2/YlbgiKVishF17x5c3nbl8kotR8HlRLFWZ6uXbuiZ8+eEIlHWSyXQEp+2IitfOGMWWqhg6V4ZCIjI2Wi0YcPH74z0ah4Noeha8WDoaB7OlgKoGrY5fPnz+XzKeKHUL169eRNMyYV1XAANBIlDkrPnz8fIpI1YMAAjaRSjCkJ8AyWKWlaUV/igPv3338vM0OLveX4BIbxT+XUqFED27dvtyKLbccUOlj6HWvxsLPITyfyz4ntwY0bNyJt2rT6NciGNRffnyIhrHikW9z+jC/i/NUvv/wib6SJXGbipra4VciiPwJ0sPQ3ZppoLPaOxYvuYv84/rHny5cvy/8W+T3Ee2jMLqzJUBgtRCSGffU2qBhD4WTFnwkQAsQ5D/GWHYtlE4i/Ci60bNasGTJmzJiowj/88APEQ8Islktg3rx58uycGCdx+0x8r4pzdeIWoXhbUrxPKCJYrVu3tlwjqNk7CdDB4gRJkoB4U2nMmDHy4VhxDTVz5syoX7++XKz5i0o/Eyf+i/xdGr+au0U/ltmepuJpKkPOPV68eBEFChSwPUA6sliMkUgMGxwcLJNTCudKbPWKcRPn6/z9/fkjVkfjmZiqdLB0PoBUnwRIgARIgARIgARMQYCH3E1BkX2QAAmQAAmQAAmQwCsE6GBxOpAACZAACZAACZCAiQnQwTIxUHZHAiRAAiRAAiRAAnSwOAdIgARIgARIgARIwMQE6GCZGCi7IwESIAESIAESIAE6WJwDJEACJEACJEACJGBiAnSwTAyU3ZEACZAACZAACZAAHSzOARIgARIgARIgARIwMQE6WCYGyu5IgARIgARIgARIgA4W5wAJkAAJkAAJkAAJmJgAHSwTA2V3JEACJEACJEACJEAHi3OABEiABEiABEiABExMgA6WiYGyOxIgARIgARIgARKgg8U5QAIkQAIkQAIkQAImJkAHy8RA2R0JkAAJkAAJkAAJ0MHiHCABEiABEiABEiABExOgg2VioOyOBEiABEiABEiABOhgcQ6QAAmQAAmQAAmQgIkJ0MEyMVB2RwIkQAIkQAIkQAJ0sDgHSIAESIAESIAESMDEBOhgmRgouyMBEiABEiABEiABOlicAyRAAiRAAiRAAiRgYgJ0sEwMlN2RAAmQAAmQAAmQAB0szgESIAESIAESIAESMDEBOlgmBsruSIAESIAESIAESOD/AStIsiIfKLeMAAAAAElFTkSuQmCC\" width=\"400\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "prompted_complex = prompt_unlabelled_complex()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "6e0a55e9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Enter a lablel for vertex 3: 0\n",
      "Enter a lablel for vertex 4: 0\n",
      "Enter a lablel for vertex 5: 0\n",
      "Enter a lablel for vertex 6: 1\n",
      "Enter a lablel for vertex 7: 2\n",
      "Enter a lablel for vertex 8: 1\n"
     ]
    }
   ],
   "source": [
    "prompt_labels(prompted_complex)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "1395baf7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute('tabindex', '0');\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",
       "            'z-index: 2;'\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(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: relative;' +\n",
       "            'z-index: 0;'\n",
       "    );\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;' +\n",
       "            'left: 0;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: absolute;' +\n",
       "            'top: 0;' +\n",
       "            '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",
       "            /* This rescales the canvas back to display pixels, so that it\n",
       "             * appears correct on HiDPI screens. */\n",
       "            canvas.style.width = width + 'px';\n",
       "            canvas.style.height = height + 'px';\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",
       "        /* User Agent sniffing is bad, but WebKit is busted:\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=144526\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=181818\n",
       "         * The worst that happens here is that they get an extra browser\n",
       "         * selection when dragging, if this check fails to catch them.\n",
       "         */\n",
       "        var UA = navigator.userAgent;\n",
       "        var isWebKit = /AppleWebKit/.test(UA) && !/Chrome/.test(UA);\n",
       "        if(isWebKit) {\n",
       "            return function (event) {\n",
       "                /* This prevents the web browser from automatically changing to\n",
       "                 * the text insertion cursor when the button is pressed. We\n",
       "                 * want to control all of the cursor setting manually through\n",
       "                 * the 'cursor' event from matplotlib */\n",
       "                event.preventDefault()\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        } else {\n",
       "            return function (event) {\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        }\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    canvas_div.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    canvas_div.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",
       "    canvas_div.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    fig.canvas_div.style.cursor = msg['cursor'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "function getModifiers(event) {\n",
       "    var mods = [];\n",
       "    if (event.ctrlKey) {\n",
       "        mods.push('ctrl');\n",
       "    }\n",
       "    if (event.altKey) {\n",
       "        mods.push('alt');\n",
       "    }\n",
       "    if (event.shiftKey) {\n",
       "        mods.push('shift');\n",
       "    }\n",
       "    if (event.metaKey) {\n",
       "        mods.push('meta');\n",
       "    }\n",
       "    return mods;\n",
       "}\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    // from https://stackoverflow.com/q/1114465\n",
       "    var boundingRect = this.canvas.getBoundingClientRect();\n",
       "    var x = (event.clientX - boundingRect.left) * this.ratio;\n",
       "    var y = (event.clientY - boundingRect.top) * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        modifiers: getModifiers(event),\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\", \"webp\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"400\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "prompted_complex.plot_complex()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3967e35e",
   "metadata": {},
   "source": [
    "# Scarf's algorithm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "f6c26bf4",
   "metadata": {},
   "outputs": [],
   "source": [
    "def Complex_scarf_solve(self,keep_track = False):\n",
    "        if {self.labels[i] for i in self.root.name}!={0,1,2}:\n",
    "            raise Exception('Original simplex not completely labelled.')\n",
    "        subdivision = [leave.name for leave in self.root.leaves if {1,2}.issubset(leave.name)][0]\n",
    "        i = list(subdivision-{1,2})[0] # i is the vertex that just arrived\n",
    "        if keep_track:\n",
    "            subdivisions = [subdivision]\n",
    "            \n",
    "        while {self.labels[k] for k in subdivision}!={0,1,2}:\n",
    "            iprime = [k for k in (subdivision-{i}) if self.labels[k]==self.labels[i]][0] # iprime is the label that will exit\n",
    "            new_subdivision = [leave.name for leave in self.root.leaves if ((subdivision - {iprime}).issubset(leave.name)\n",
    "                                 and leave.name != subdivision)][0]\n",
    "            i = min(new_subdivision - subdivision)\n",
    "            subdivision = new_subdivision\n",
    "            if keep_track:\n",
    "                subdivisions.append(subdivision)\n",
    "\n",
    "        if keep_track:\n",
    "            return subdivision,subdivisions \n",
    "        else:\n",
    "            return subdivision\n",
    "        \n",
    "Complex.scarf_solve=Complex_scarf_solve"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "c7aa5f99",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "({0, 3, 5}, [{1, 2, 6}, {1, 3, 6}, {2, 3, 6}, {2, 3, 5}, {0, 3, 5}])"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "complex_example.scarf_solve(True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "5ba8b63a",
   "metadata": {},
   "outputs": [],
   "source": [
    "def Complex_plot_path(self):\n",
    "    _,subdivisions = self.scarf_solve(True)\n",
    "    print(vertices)\n",
    "    print(subdivisions)\n",
    "    x = np.array([sum([self.vertices[v][0] for v in {1,2}])/2]+ [ sum([self.vertices[v][0] for v in sub])/3 for sub in subdivisions])\n",
    "    y = np.array([sum([self.vertices[v][1] for v in {1,2}])/2]+  [ sum([self.vertices[v][1] for v in sub])/3 for sub in subdivisions])\n",
    "    self.plot_complex()\n",
    "    plt.quiver(x[:-1], y[:-1], x[1:]-x[:-1], y[1:]-y[:-1], color='green', scale_units='xy', angles='xy', scale=1)\n",
    "    \n",
    "Complex.plot_path = Complex_plot_path"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "9ae0cb8f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[(1.9838109204056043, 1.6256905459087383), (1.9042334351278964, 0.8458932599902984), (1.5071691386863257, 2.0210807190504823), (2.486580756068415, 1.9771484775902883)]\n",
      "[{1, 2, 6}, {1, 3, 6}, {2, 3, 6}, {2, 3, 5}, {0, 3, 5}]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "complex_example.plot_path()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}