docs/tutorials/data_editing.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "536f3cce",
   "metadata": {},
   "source": [
    "# Data editing using general fuzzy min-max neural network"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "11a15999",
   "metadata": {},
   "source": [
    "This example shows how to using the general fuzzy min-max neural network (GFMMNN) to edit the training data and remove outliers. There are three different data editing approaches which are presented in [1]. This example uses a GFMMNN trained by an accelerated agglomerative learning algorithm for demonstration, but any other learning algorithms of the GFMMNN can be used within data editing functions.\n",
    "\n",
    "[1] Gabrys, B. (2001). Data editing for neuro-fuzzy classifiers. In Proceedings of the Fourth International ICSC Symposia on Soft Computing and Intelligent Systems for Industry."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "bd144372",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib notebook"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "9ca1916a",
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "import pandas as pd\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "44786165",
   "metadata": {},
   "source": [
    "### Load training and testing datasets "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "fa2c72ce",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'C:\\\\hyperbox-brain\\\\examples\\\\other_learning_ability_gfmm'"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Get the path to the this jupyter notebook file\n",
    "this_notebook_dir = os.path.dirname(os.path.abspath(\"__file__\"))\n",
    "this_notebook_dir"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "15deb0cd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "WindowsPath('C:/hyperbox-brain')"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Get the home folder of the hyperbox-brain toolbox\n",
    "from pathlib import Path\n",
    "project_dir = Path(this_notebook_dir).parent.parent\n",
    "project_dir"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "56476636",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create the path to the training and testing files\n",
    "training_file = os.path.join(project_dir, Path(\"dataset/syn_num_train.csv\"))\n",
    "testing_file = os.path.join(project_dir, Path(\"dataset/syn_num_test.csv\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "110479a5",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create training and testing data sets\n",
    "df_train = pd.read_csv(training_file, header=None)\n",
    "df_test = pd.read_csv(testing_file, header=None)\n",
    "\n",
    "Xy_train = df_train.to_numpy()\n",
    "Xy_test = df_test.to_numpy()\n",
    "\n",
    "Xtr = Xy_train[:, :-1]\n",
    "ytr = Xy_train[:, -1]\n",
    "\n",
    "Xtest = Xy_test[:, :-1]\n",
    "ytest = Xy_test[:, -1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "c133c4a7",
   "metadata": {},
   "outputs": [],
   "source": [
    "from hbbrain.numerical_data.batch_learner.accel_agglo_gfmm import AccelAgglomerativeLearningGFMM"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "47b1f3db",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Initialise a gfmm model by the accelerated agglomerative learning algorithm\n",
    "theta = 0.2\n",
    "gamma = 1\n",
    "min_simil = 0\n",
    "simil_measure = 'mid'\n",
    "is_draw = False"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "0356e35f",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "243b7779",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create a function to show input samples (in this case only two classes)\n",
    "def show_2d_samples(X, y, title=\"Input sample\"):\n",
    "    colours = ['blue', 'green', 'red', 'black']\n",
    "    labels = ['class 1', 'class 2', 'class 3', 'class 4']\n",
    "    fig1, ax1 = plt.subplots()\n",
    "    classes = np.unique(y)\n",
    "    for index, c in enumerate(classes):\n",
    "        data = X[y == c]  \n",
    "        color = colours[index]\n",
    "        label = labels[index]\n",
    "        ax1.scatter(        \n",
    "            data[:, 0],        \n",
    "            data[:, 1],\n",
    "            color=color,        \n",
    "            label=label  \n",
    "        )\n",
    "\n",
    "    ax1.set_xlabel('X1')\n",
    "    ax1.set_ylabel('X2')\n",
    "    ax1.title.set_text(title)\n",
    "    ax1.legend(loc='lower right')\n",
    "    \n",
    "    fig1.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "232abced",
   "metadata": {},
   "source": [
    "### Verify the input data before doing data editing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "122c5a3c",
   "metadata": {},
   "outputs": [
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       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    fig.rubberband_canvas.style.cursor = msg['cursor'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from https://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
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     "output_type": "display_data"
    },
    {
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\" width=\"510.6666666666667\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Show the existing training set\n",
    "show_2d_samples(Xtr, ytr, \"Input data set before editing\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "8c542c8b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of input samples before editing =  250\n"
     ]
    }
   ],
   "source": [
    "print(\"Number of input samples before editing = \", Xtr.shape[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "27c4b180",
   "metadata": {},
   "source": [
    "#### Build a GFMMNN model from the original input training data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "e860f6ac",
   "metadata": {},
   "outputs": [],
   "source": [
    "agglo2_clf_original_data = AccelAgglomerativeLearningGFMM(theta=theta, gamma=gamma, min_simil=min_simil, simil_measure=simil_measure, is_draw=is_draw)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "fdf80922",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "AccelAgglomerativeLearningGFMM(min_simil=0, theta=0.2)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "agglo2_clf_original_data.fit(Xtr, ytr)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0046f201",
   "metadata": {},
   "source": [
    "#### Display decision boundaries among classes if input data are 2-dimensional"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "4f42ece0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    fig.rubberband_canvas.style.cursor = msg['cursor'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from https://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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       "<img 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\" width=\"546.6666666666666\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "agglo2_clf_original_data.draw_hyperbox_and_boundary(\"The trained GFMM classifier and its decision boundaries\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "2d6e3611",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of hyperboxes =  43\n"
     ]
    }
   ],
   "source": [
    "print(\"Number of hyperboxes = \", agglo2_clf_original_data.get_n_hyperboxes())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a8dfd12c",
   "metadata": {},
   "source": [
    "#### Make prediction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "436647c9",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.metrics import accuracy_score"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "1ed946ba",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Accuracy =  87.00%\n"
     ]
    }
   ],
   "source": [
    "y_pred_original_data = agglo2_clf_original_data.predict(Xtest)\n",
    "acc = accuracy_score(ytest, y_pred_original_data)\n",
    "print(f'Accuracy = {acc * 100: .2f}%')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e05505fd",
   "metadata": {},
   "source": [
    "## 1. Method 1 of Data editing: Using k-nearest neighbors and a leave-one-out scheme."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e26c29c4",
   "metadata": {},
   "source": [
    "The first of the data editing procedures examined in this paper follows the general data editing method presented in [2]. It is based on an application of the k-nearest neighbor classification rules within a leave-one-out scheme. To make it suitable for the GFMM algorithm, the membership function of the GFMMNN acts as the similarity measure utilised for finding k-nearest neighbours. In this case, the hyperboxes represent individual training data points and the outputs of the hyperbox layer nodes can be treated as the classification values. The k maximum values from the hyperbox layer outputs are used together with the above classification rules to decide whether the input is classified correctly or not.\n",
    "\n",
    "[2] Webb, A. R. (2003). Statistical pattern recognition. John Wiley & Sons."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "c97e3400",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Import the data editing function\n",
    "from hbbrain.utils.data_editing import data_editing_leave_one_out"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "a141eb56",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Initialise a GFMMNN model using the accelerated agglomerative learning algorithm\n",
    "agglo2_clf = AccelAgglomerativeLearningGFMM(theta=theta, gamma=gamma, min_simil=min_simil, simil_measure=simil_measure, is_draw=is_draw)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "cde26ffb",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Initialise input paramters of the data editing method\n",
    "k_neighbors=5 # Using the 5-NN rule for classification\n",
    "n_iters=100 # Repeat 100 times\n",
    "n_last_iters=5 # If 5 consecutive iterations not remove any sample, stop the loop \n",
    "seed=0 # kernel seed for random split data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "1982bcb9",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Doing data editing and get the output dataset\n",
    "Xtr_1, ytr_1 = data_editing_leave_one_out(Xtr, ytr, gfmm_estimator=agglo2_clf, k_neighbors=k_neighbors, n_iters=n_iters, n_last_iters=n_last_iters, seed=seed)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "e6719feb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of remaining samples after editing =  183\n"
     ]
    }
   ],
   "source": [
    "print(\"Number of remaining samples after editing = \", Xtr_1.shape[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "da851b11",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    fig.rubberband_canvas.style.cursor = msg['cursor'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from https://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"580\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Show the remaining training set\n",
    "show_2d_samples(Xtr_1, ytr_1, \"Input data set after editing by method 1\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8b3f543a",
   "metadata": {},
   "source": [
    "#### Build a GFMMNN model from the remaining training data after editing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "ccf78c97",
   "metadata": {},
   "outputs": [],
   "source": [
    "agglo2_clf_editing_method_1 = AccelAgglomerativeLearningGFMM(theta=theta, gamma=gamma, min_simil=min_simil, simil_measure=simil_measure, is_draw=is_draw)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "73ca91d7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "AccelAgglomerativeLearningGFMM(min_simil=0, theta=0.2)"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "agglo2_clf_editing_method_1.fit(Xtr_1, ytr_1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5e0cf52e",
   "metadata": {},
   "source": [
    "#### Display decision boundaries among classes if input data are 2-dimensional"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "cf23cfda",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    fig.rubberband_canvas.style.cursor = msg['cursor'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from https://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"520\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "agglo2_clf_editing_method_1.draw_hyperbox_and_boundary(\"The trained GFMM classifier and its decision boundaries\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "5f96a8b9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of hyperboxes =  16\n"
     ]
    }
   ],
   "source": [
    "print(\"Number of hyperboxes = \", agglo2_clf_editing_method_1.get_n_hyperboxes())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "13bf3238",
   "metadata": {},
   "source": [
    "#### Make prediction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "209c1799",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Accuracy =  89.60%\n"
     ]
    }
   ],
   "source": [
    "y_pred_editing_method_1 = agglo2_clf_editing_method_1.predict(Xtest)\n",
    "acc = accuracy_score(ytest, y_pred_editing_method_1)\n",
    "print(f'Accuracy = {acc * 100: .2f}%')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ccb9b15f",
   "metadata": {},
   "source": [
    "## 2. Method 2 of Data editing: Using repeated two fold cross-validation scheme."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ed63450a",
   "metadata": {},
   "source": [
    "The second data editing procedure is based on the repeated two-fold cross-validation. At each iteration, input data are randomly split into two separate sets. Next, a fold is used to build a GFMMNN model and the second fold is used to make prediction. This process is iterated for each fold so that each fold is used to train and validate the model in turn. After that, the misclassified samples in the validation fold are marked and the random splitting into two separate sets continues for the original training data set. The process can be repeated a fixed number of times (i.e. 100 times) or stopped if the last n iterations have not resulted in new samples being marked as misclassified. Only after the multiple cross-validation\n",
    "process is completed, all the marked samples are removed and the GFMM trained for the edited training set."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "9dec015a",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Import the data editing function\n",
    "from hbbrain.utils.data_editing import data_editing_two_fold_cv"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "4ec5d0c9",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Initialise a GFMMNN model using the accelerated agglomerative learning algorithm\n",
    "agglo2_clf = AccelAgglomerativeLearningGFMM(theta=theta, gamma=gamma, min_simil=min_simil, simil_measure=simil_measure, is_draw=is_draw)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "344e9ad5",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Initialise input paramters of the data editing method\n",
    "n_iters=100 # Repeat 100 times\n",
    "n_last_iters=5 # If 5 consecutive iterations not remove any sample, stop the loop \n",
    "seed=0 # kernel seed for random split data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "6b3fba2e",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Doing data editing and get the output dataset\n",
    "Xtr_2, ytr_2 = data_editing_two_fold_cv(Xtr, ytr, gfmm_estimator=agglo2_clf, n_iters=n_iters, n_last_iters=n_last_iters, seed=seed)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "50a14726",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of remaining samples after editing =  133\n"
     ]
    }
   ],
   "source": [
    "print(\"Number of remaining samples after editing = \", Xtr_2.shape[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "63a16c6b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    fig.rubberband_canvas.style.cursor = msg['cursor'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from https://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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7757tJBbdvQu6BsgsSPfUZ/Ipn4Laq+0vhELlCz9r/dQddeAivrnS1/6UuTjEmGql75RsbhSFkvZrNrL9/uQurOaFNQaOfmQ/D7Ozvva5P7uJIBA6c5+L22r0woUjS7+9Kc/3eDDrkbFozf6oGm0UR+t+KpN0ytYUBBWG/So3IwZM6KgV5eyMPpAx1dSgKhyjaZ4udyf1DEKYBXUKJDQFJFGO6UoAL7++usjU67noOjjqIBQc4ivvvpqO/nkkzN9oFu1I+kZre79n//5nyhDpKlocQYpiZn+rg+8REAj4RrfL9Gnj/vee+8dBerxFUqgJNVTgav8TdkpZWzqp6gl+V+a4El25T8K5DXFUTtR1V/yLU11UyAoJhIS8VX7foqVBH6WSyPDEoh6T5Xt09Sa+ksDDQqGJezqRePrXve6aNpPs/dY04IUZOtqp0CRcFNbNY2w9pL4UPt1KYhWQBpf11xzTeSnCnI1/U6CvPZSIC1RIbGiy0egKMMhX68fiNBvqzIUujTFSO9PfElUyickYPVu1IoXldG0Pw0CKKBWgNpoqmAzn4l9XH8XBwmS2ksBuoRFnOlQdrN+Vyn9rsd+vWzZsqie8aWsiASJBLnet0ZTgeVvGvRSNkZCsHYqVZp3TM+KBUqW/le2RlPpdGmwqD7DpvdTbZaA0dRQ+VJ85f19SHrXJWZVN2W0m32fkmzwdwjEBBAo+EKpCKQVKAqutJtI/aW1D/EIrgIYjQrGV61AaXa/flh1vz5S9QFYUoCo5+QtUL74xS9GI2gKKDRarcxJ/aXpIZoao8tVoOgeCQAJgQ996EPR6GTtlfYDneRUrZ7R6l6NJqteCtA0ql4fHDW6V9PSFCiob++7774o6G10KQMTB1Niq5F9XUUJFD1Lz1RGRx/6+vUwSf6Xpm/i4FJCSAK82SXhocyIpplonUd8xe+nhL3WrdQH3kn9Hv9do9QaHVfgqwC42aXsoLIPEhvKDOqSeJaI1NXqPdb0IwXI7RQoyoppPUSjS2veNE1K2QtNdYsvZYaUIWq1vklTHOMdknwEyrRp09YPyNTXUaIpnp4q0RFfykopsNdUNdVTa5ZqL/mMBg80jUoZDpcr9nH1nd67ONCvtaEF2sruSrhpGlf9pQEQiXxlYCRI3va2t60vEmdPNMVXv3HNLrVJWQqtzdFvVXylecdUNq53lv7XtFIJck0zE/9Gl97JuF16H2KBX8T3oRkzTefS74rWWamPlM2qnwbs4guUhQACBR8oFYG0AkXZEaXl6y+NLsWLjOtHJmPxoKyKpqdoTnejS6OXGr3TPHaNYMZXUoCocnkLlPe///1RZqPZxzmuq0YNFZw1EygaeVS2SKPXEmPx3O1aHm9/+9s3mKetv6X9QKts1me0ckiNoGr0XKPI+oArSDv88MPXn1PS6N541FR/i0VHs2fE61M0OvnGN74xKhZSoGgqooJLTYHQyLrEkwKp+uuGG26IRqFrryT/S9M3cSZJAreRuI2fpwyL3jEJfAn9+IrfT9e1BfXtUyCjEWwFMK0Wwes9lW/WLsqOg/Ok91jZv2uvvbatAqVRAB+z0EizprJJwCiQjS9Nj9I72WwKlcrpPdCGALp8BIqmQkkoNbo0Aq66SSwo6Ky9TjvttGgqnQJ5tTG+VE72NBjgWi/ZiH1cQXqtKKp9dsytVQYv/v2rz8JooEJZxPiQ02a/A/F6LwlHCcj4SvOOqWwsULL0v3gr89MqA6HfP707EmN6H+JNMkJ9H1r9Bjf6m95TZdz0PdF3Wb/98SCCqy3KQyAmgEDBF0pFIK1AiVP8jSrfbHebWDwova/R32ZXvMBTaX7NtY6vpABR5fIWKPHopKYAxNO4GrVDo+8KshsJlDh7Ed+nLISCVU3J0BUHhfoYK8iovdJ+oH2ekeSQCjo1oq56xpcCD0370/Q2zdevHXnVKPGYMWOSzG7w99rgKpRAUWZEWb/aKRmaxqVAI84EaRRSwV28nXBtpZL8L03fxKPiaWHEO97F5eP3U0GigpCsl0bg4wXgaWzUZhM0qq01RGnf43ZmUFoF6c36Sz4h0arspbKFjS79PZ4C6CoEahfJK9BtNlATHwyq50iw1l7KvmkHMvmtREk8VSoWNcrgxlPQ0vSvy29sGj9vtD5Ia2Pi37i0darf0jvNs2U7zQ5rPv2vZ8j/NaBSm+UJ8X1IyyYupwEEZXOUzdJvmbI79dPuXG1SHgLRe7S2VaQHIwgUTKAIgaLFe62Co04QKEnTJ5oJFE2J0foNXR/96EejqSUaJa+dKhUHGY0CuzQfaN9npHE5ZR6UZVBwpmkQGnGML2WXND0jzhDEgZayBrU7faV5jsqEEiiaT68pLzrYTFtxKiugIKP2ikfPNTotQVJ7hRAosV/UTplKy0Hl6rcZdrm3tmyj4CqtrVigpH2PO1WgaB1NM2HdboGivtJCfk3j0UJ5ZXs0mi9Bq8yt6+L4IgSKxFi81uYb3/hGtJje9Urz+xdKoLTq/1qBoo1i4m19006vazWA5cJE4kSZds00UCZUi/bjLaBd7FAWAo0IIFDwi1IRKEKgJE0NaTbFS4vnNS1KHzZ94Bpd8Rz/+pFnlU0KMNN0RNoUfhzo1mdQ4i16tfBSCzAbXaeffnq09WtWgeL7jDQc6stoqorqrI+1xlxqd8LSjj2ae65LZyVoka3LFUKgaPQ23sZVma94EWxtPRTgaQRSgVReAkU7E+lcjWY7HCVxCSVQtPD47rvvjhZBaxqOy5V2ilf8HneaQGn27tYyavcUL9UlzkxqSpLW0mgqpbKXyshoiprL4vgiBIqeod3BNH2r1dqQVr5YhECJp3hpy27t0tjo0m+EplJpSnOWKV5pfCzpnawVJ9oxT+JE7xoXBEIRQKCEIomdIASKECiqqHapabSDkYJbTQ/QYvv6Oc5aWKmRQZ19obnjja54B61GAiWety2RoS2Ns1y1iyCV3m+0DkdBuNYI6KoXKMqeKMOhLJG21a2/1H4F8AqAGgV2Wu+hrEWr+fG+z8jCJb4nXndQu7uNplZpxF5t0wdfH36Xq3bjBXHZZZddXG6PyipjF0+D0dSXeBODWkMahVQApCuLQEnTN/EhasqYSdSl3RI4rmcogaKtcjW3XwGjsl8ui2lrF8k3e49rN7twFShpOIpHmm2Gs0zxKnKRvER9vNi+3qnjtR7N1oMoQNVW3lqrpOBUmxjoXJek7G6rlyfNIE4akdCsbzTar7rq91HTd+t3cUx6sdP6hs8UrzSL5DW4FG8vrCmj+r3T5ft9SGp//PfaaV3KnEicIk7S0qNcWgIIlLSkKFcIgaIESrNtimt3+qpdKK3Gx9t/ahG+grv4UMIYjD542l1K0y8aCZT43AeNMmoUO8ul6RP6+GrkrNkC+HjkuJFAiRdJNzsJWkGGpn7pahTYxSPwOohL2aJGl+8zWnER22Zz5nVfnP2p3yo43r1HWQzt/hULuEbP0vSx+GwV/V27FsUHtmlKS/3hhWn6Uetl9GyJJG0jqsPxai/1pwKvWPhmEShp+ka7k2kRs9YUKFiTHzbbCU1BvoLP2tPEQwkUbW2r7azFI2m6mbJP6vdaEROfxdHsPVbgLV9o5setAuE0HPMUKNoEQ4MYCnK1zqd2C2I9Vyzkg/H6OJ81KFpnp61067e0lk0F47oa+WvsuzrXR+d0aNBGv5fKArrWp/Y9yFugyN/jM47qd+iqf48VhOu3vnbdSlrf8BEo2tUunn6m3dDiKblx/fRboWlU2umvfpth3+9Dmt+yenHCtK401CiThQACJQs17smNQBECJT6oUSNVyohoxxelzBUYKPDWP2sUU1ODai9NDVBZBZuawysxo5FwBVD6kVZgr3sV4DYSKHHQpGBX6yYUHGS5tM2wRso0+qdddhQkKJOiBdaaD66AodlBjbXnvOgMFWWJNAKmIFwj2sqMKCDVlruNBIqyDzptXVkWLbZtdI6A7zNaMVHQqX7QB1xrTeJtbtUnEpBio52ytIhahzXGlzIf2pVL7dKCegUnOlBMnHRpZx8t8pQNfYDrz1iJdwXStrc6RLH2fJ20faj6amc5MdMhohIk6kPt5qV+0PNlV8/PIlDS9I3qGo+y6p8V4CurJH+WUJFg0IF48mf5qw5yrD0LJ5RA0bPjA+X0z9qxTNNuJCwV3CnQFRftgqSpRFq7U7vwVtuw6v3VJV+ofY/1XmowQOsNshzUmJZjXhkU+a/Em7bEln9ra22d3aH+Ud/ofdcZNaEOatRaEr37+i1T8KvfPS3O1++Y6iHh0czf1Ue1Z9hkXRwfv0N5CxQ9J85Q6J8ljjUdNB6wEHsJNu2yp98xCenac1TS+oaPQKk/qFF9o0EfiSVNpZNvxzunNTqo0ef7kPRbpjV8GtjQb78GDPT8+nN6kmzwdwikJYBASUuKcoUQKEKgSDxoupaCTQVkEgwKcCU0dClI+tnPfhYtZq6/aoNv/U3CQCOa+rApyFMwpwCikUBRQKEPuISELs3RjrdY1ZqW+nMvmgGXCNL2npreoivehUvBmNqjHbS03aOmDNVnWdRGTW2Ld2DShzSel60Rc318NDor4dNIoGj6mA6YUx0UXCvYj0dfFXzrY+77jFaOVnuQm8rpI6ngSW2PLwWymgJRv32tAg8FJ1pToituu+pbuyOYdtrSNLjaSzy0eYAuZXAUOKr96rNm65Hq26GgUkzjLZ1lR6OzOpBQbdBccj1DuyJlEShp+iauk6Z6ScQpGNKlesiXlTGJ3wP99/ptWkMKFD1bZ63oPJT4ki+p3yRCFSzHV/2W4frvcbAYl9F7LJa6T0GT/EDTGF2neKXlmJdAUXs0DVDiURmv2OfERlzkNzp0ND5/pNGZOa3eodpdvCRGFPyqzyXW9V7H215rLYTKJk1pjIW3npl1cXxc3yIEioJsTWurfW/lc3oHxFe/g/GltTS1gzBpfcNHoOjZyoRonaBEavx+amAt/p3Tb48OUdWAWv3l831o5Tf6mwZWtLOZLvljPMDT7D4JPWXXuCCQhQACJQs17smNQFECRUGqglCNhmvKjwJUfYi1hkRBU/3JyrUN1jaK+hDrHAd92HUegYSJRuI00qs96RsJlDjwUJZDAkFrI+Jg0HVahIIwjawpkNWoqoIWCQeJIwUcreZp6wOmDIIWa4uDPnzK5ujDo12DlFlRHZsdFCfxo8BPI6vKSMSBpEb3FLTp8n1GMwfT1DqN2omXprgogFPfaUqWhKXmv2t6TLNpS5raJCGgwEyLtCUaFZgoCNHZHJp+py0z69f2KGjRgYHKsil4lMiQGGx1mF6jNuhMEbHVadcKhiTwFEjL5/T8VkFvmuAtTd/E9dJhd/IhiXH5gdqkaWjKjik41nQWCbDaLZtDCpS4HhKO2mlNgloBoQJkiQ2NautsBdWj2ZkKmvuud1jvovxQ76IW3is7o0xfMz9OYpmGY54CRWw0kCFhrNFyrWESE/mbhKV+X+JpiHoPXLKxtQJFPix2+j2QCNT7oHdBQl4ZrXhqY6sf/Dgj57M4vkiBEj9LHPRboGmV2nZe/qNBKU0f1G5YmhbaaEONNL7hK1Di31BNudWUL/Wxfrt0jpN+2+XftSfc1/ePz/ehVV/XToFOEwS4ftfS2KRM9xBAoHRPX3d9S1udUdL1cAAAAQh0DIF4K2+JAmWN4sNp29GA+NR1n8Xx7ag3z4QABMpNAIFS7v6hdgEJIFACwsQUBCDQFgLKeiizpMyXsn3KIrXr0tquPfbYI5oWpTVUrEdoV0/wXAhUjwACpXp9SouaEECg4BoQgEAnENDUGO04pamjr3vd66IppxIm2kVO68okSjSNSOXatb2r1itpOumcOXOiU+U19YkLAhCAQCgCCJRQJLFTegIIlNJ3ERWEAATMojVS8eGiAqK1IFqDoLVduiROtA5OaxGKvrRe6oYbbojWf2lzEG3woDV1aTf5KLq+PA8CEOhMAgiUzuw3ap2BAAIlAzRugQAECieg4F/bPGsal6ZRacG8Mig6GFHTqLQZxgEHHFC7hqqpAAAgAElEQVR4vfTAeIMB7aCnLYa1TXWjQ2/bUjkeCgEIVIYAAqUyXUlDIAABCEAAAhCAAAQg0PkEECid34e0AAIQgAAEIAABCEAAApUhgECpTFfSEAhAAAIQgAAEIAABCHQ+AQRK5/chLYAABCAAAQhAAAIQgEBlCCBQKtOVNAQCEIAABCAAAQhAAAKdTwCB0vl9SAsgAAEIQAACEIAABCBQGQIIlMp0JQ2BAAQgAAEIQAACEIBA5xNAoJSsD7fffnv7+9//bkOHDi1ZzagOBCAAAQhAAAIQgEASgUcffdQ233zz6EBTrmwEECjZuOV216BBg2z16tW222675fYMDEMAAhCAAAQgAAEI5ENgyZIlNmDAAFu5cmU+D+gCqwiUknXy6173uqhG9913X8lqRnUgAAEIQAACEIAABJIIEMslEUr+OwIlmVGhJXDqQnHzMAhAAAIQgAAEIBCUALGcP04Eij/DoBZw6qA4MQYBCEAAAhCAAAQKJUAs548bgeLPMKgFnDooToxBAAIQgAAEIACBQgkQy/njRqD4MwxqAacOihNjEIAABCAAAQhAoFACxHL+uBEo/gyDWsCpg+LEGAQgAAEIQAACECiUALGcP24Eij/DoBZw6qA4MQYBCEAAAhCAAAQKJUAs548bgeLPMKgFnDooToxBAAIQgAAEIACBQgkQy/njRqD4MwxqAacOihNjEIAABCAAAQhAoFACxHL+uBEo/gyDWsCpg+LEGAQgAAEIQAACECiUALGcP24Eij/DoBZw6qA4MQYBCEAAAhCAAAQKJUAs548bgeLPMKgFnDooToxBAAIQgAAEIACBQgkQy/njRqD4MwxqAacOihNjEIAABCAAAQhAoFACxHL+uBEo/gyDWsCpg+LEGAQgAAEIQAACECiUALGcP24Eij/DoBZw6qA4MQYBCEAAAhCAAAQKJUAs548bgeLPMKgFnDooToxBAAIQgAAEIACBQgkQy/njRqD4MwxqAacOihNjEIBAGwgsX242fbrZ/PlmK1eaDRpkNnKkWW+v2eDBbagQj4QABCBQIAFiOX/YCBR/hkEt4NRBcWIMAhAokMDzz5uNHWs2a5bZ6tUbP3jAALPRo82mTDHr6SmwYjwKAhCAQIEEiOX8YSNQ/BkGtYBTB8WJMQhAoCACEidHH70ua5J0HXaY2ezZZgMHJpXk7xCAAAQ6jwCxnH+fIVD8GQa1gFMHxYkxCECgIAJjxphNm5b+YSo/dWr68pSEAAQg0CkEiOX8ewqB4s8wqAWcOihOjEEAAgUQePJJs6FDG0/ravZ4Tfdatow1KQV0D4+AAAQKJkAs5w8cgeLPMKgFnDooToxBAAIFEJg0yWziRPcH6b4JE9zv4w4IQAACZSZALOffOwgUf4ZBLeDUQXFiDAIQKIDAkUeazZ3r/qBRo8zmzHG/jzsgAAEIlJkAsZx/7yBQ/BkGtYBTB8WJMQhAoAACw4ebLVzo/qBhw8wWLHC/jzsgAAEIlJkAsZx/7yBQ/BkGtYBTB8WJMQhAoAACZFAKgMwjIACBjiFALOffVQgUf4ZBLeDUQXFiDAIQKIAAa1AKgMwjIACBjiFALOffVQgUf4ZBLeDUQXFiDAIQKIAAu3gVAJlHQAACHUOAWM6/qxAo/gyDWsCpg+LEGAQgUBABzkEpCDSPgQAESk+AWM6/ixAo/gyDWsCpg+LEGAQgUBAB15Pk+/rMenoKqhyPgQAEIFAgAWI5f9gIFH+GQS3g1EFxYgwCECiQgETKuHFmM2c2PrRRhzOOHm02ZQripMBu4VEQgEDBBIjl/IEjUPwZBrWAUwfFiTEIQKANBJYvN5sxw2zePLOVK80GDTIbOdKst5eT49vQHTwSAhAomACxnD9wBIo/w6AWcOqgODEGAQhAAAIQgAAECiVALOePG4HizzCoBZw6KE6MQQACEIAABCAAgUIJEMv540ag+DMMagGnDooTYxCAAAQgAAEIQKBQAsRy/rgRKP4Mg1rAqYPixBgEIAABCEAAAhAolACxnD9uBIo/w6AWcOqgODEGAQgkENCC9unTzebPZ0E7zgIBCEAgBAFiOX+KCBR/hkEt4NRBcWIMAhBoQkBbAo8dazZrFlsC4yQQgAAEQhIglvOniUDxZxjUAk4dFCfGIACBBgRcD1WcPdts4EBQQgACEIBAGgLEcmkotS6DQPFnGNQCTh0UJ8YgAIEGBMaMMZs2LT0alZ86NX15SkIAAhDoZgLEcv69j0DxZxjUAk4dFCfGIACBOgJPPmk2dGjjaV3NYOkE+GXLOGQRZ4IABCCQhgCxXBpKZFD8KRVoAacuEDaPgkAXEpg0yWziRPeG674JE9zv4w4IQAAC3UaAWM6/x8mg+DMMagGnDooTYxCAQB2BI480mzvXHcuoUWZz5rjfxx0QgAAEuo0AsZx/jyNQ/BkGtYBTB8WJMQhAoI7A8OFmCxe6Yxk2zGzBAvf7uAMCEIBAtxEglvPvcQSKP8OgFnDqoDgxBgEIkEHBByAAAQgUSoBYzh83AsWfYVALOHVQnBiDAATqCLAGBZeAAAQgkC8BYjl/vggUf4ZBLeDUQXFiDAIQqCPALl64BAQgAIF8CRDL+fNFoPgzDGoBpw6KE2MQgEADApyDgltAAAIQyI8AsZw/WwSKP8OgFnDqoDgxBgEINCDgepJ8X59ZTw8oIQABCEAgDQFiuTSUWpdBoPgzDGoBpw6KE2MQgEATAhIp48aZzZzZ+NBGHc44erTZlCmIE5wIAhCAgAsBYjkXWo3LIlD8GQa1gFMHxYkxCEAggcDy5WYzZpjNm2e2cqXZoEFmI0ea9fYWc3K8nj99utn8+e15Pg4CAQhAIDQBYjl/oggUf4ZBLeDUQXFiDAIQKCkBZXDGjjWbNYsMTkm7iGpBAAIZCRDLZQRXcxsCxZ9hUAs4dVCcGIMABEpIwHUNzOzZZgMHhmkIGZswHLECAQg0J0As5+8dCBR/hkEt4NRBcWIMAhAoIYF27CJGxqaEjkCVIFBRAsRy/h2LQPFnGNQCTh0UJ8YgAIGSEWjHOSztzNiUDD/VgQAECiBALOcPGYHizzCoBZw6KE6MQQACJSPQjpPs25GxKRl2qgMBCBRIgFjOHzYCxZ9hUAs4dVCcGIMABEpG4MgjzebOda/UqFFmc+a439eOjI17LbkDAhCoEgFiOf/eRKD4MwxqAacOihNjEIBAyQgMH262cKF7pYYNM1uwwP2+dmRs3GvJHRCAQJUIEMv59yYCxZ9hUAs4dVCcGIMABEpGoOgMStHPKxluqgMBCLSBALGcP3QEij/DoBZw6qA4MQYBCJSMQNEZjaIzNiXDTXUgAIE2ECCW84eOQPFnGNQCTh0UJ8YgAIGSESh6TQgZlJI5ANWBQBcQIJbz72QEij/DoBZw6qA4MQYBCJSQQJG7ahWdsSkh7tJXicMzS99FVNCRALGcI7AGxREo/gyDWsCpg+LEGAQgUEICrueS9PWZ9fRka0jRGZtstezOuzg8szv7vRtaTSzn38sIFH+GQS3g1EFxYgwCECgpAQWn48aZzZxptnr1xpUcMMBs9GizKVOyi5PYapEZm5LiLl21XEXq7NlmAweWrhlUCAINCRDL+TsGAsWfYVALOHVQnBiDAARKTkDTe2bMMJs3z2zlSrNBg8xGjjTr7TUbPDhM5V2DYZ+MTZgaV98KorH6fdzNLSSW8+99BIo/w6AWcOqgODEGAQhAICJQZMYG5K0JMO0OD6k6AWI5/x5GoPgzDGoBpw6KE2MQgAAENiBQRMYG5K0JsHEBHlJ1AsRy/j2MQPFnGNQCTh0UJ8YgAAEIQKBkBNj6uWQdQnWCEyCW80eKQPFnGNQCTh0UJ8YgAAEIQKBkBDg8s2QdQnWCEyCW80eKQPFnGNQCTh0UJ8YgAAEIQKBkBMiglKxDKlqddp6vQyzn71QIFH+GQS3g1EFxYgwCEIAABEpGgDUoJeuQilWnDOfrEMv5OxUCxZ9hUAs4dVCcGIMABCAAgZIRYBevknVIharjuqV4XufrEMv5OxUCxZ9hUAs4dVCcGIMABCAAgRIS4ByUEnZKBapUFr8ilvN3JgSKP8OgFnDqoDgxBgEIQAACJSTgOtLN4Zkl7MSSValMmTliOX/nQKD4MwxqAacOihNjEIAABCBQUgIcnlnSjunQapVpbROxnL8TIVD8GQa1gFMHxYkxCEAAAhAoOQEOzyx5B3VI9cq0OxyxnL/TIFD8GQa1gFMHxYkxCEAAAhCAAAS6gECZztchlvN3OASKP8OgFnDqoDgxBgEIQAACEIBAFxAgg1KtTkaglKw/ESgl6xCqAwEIQAACuRFo52F6uTUKw20hwBqUtmDP7aEIlNzQZjOMQMnGjbsgAAEIQKBzCJThML3OoUVN0xBgF680lDqnTFcIlFWrVtnkyZPt+uuvt0cffdS23nprO+qoo+yCCy6wHXfc0am3+vr6bMqUKfarX/3KVqxYYVtttZW98Y1vtDPOOMOOOOIIJ1uNCiNQvBFiAAIQgAAESkzAdYvhvA7TKzEiqpaRAOegZARXwtsqL1AkTiQcbrvtNhsyZIiNGDHCli5daosWLbJtt93WFixYYLvttluqrrn00ktt/Pjx1q9fPzv44INthx12sIcffjgSK7q+8pWv2Ic//OFUtpoVQqB44eNmCEAAAhAoOYGyBJElx0T1MhBwFb95na9DLJeh8+puqbxA+exnP2sXXnihDR8+3ObMmWNbbLFFhCAWG4ceeqjNnz8/keSf/vSn9dmWn/3sZ3bIIYesv+fb3/62nXjiiTZw4EBbvnz5+mckGm1QAKfOQo17IAABCECgEwiUaRpOJ/Ciju4EynC+DrGce7/V31FpgbJ69Wrbbrvt7JlnnrHFixfbvvvuu0H79957b7vnnnvsjjvusP33378lzR/+8Id27LHHRlPDZivfXHfts88+dvfdd9vtt98eTfnKeuHUWclxHwQgAAEIlJ1AmRYyl50V9fMj0M7zdYjl/PpOd1daoNx88812+OGHR1O4HnrooY1oKbOiDMu5555r5513Xkuac+fOtSOPPDJRoDz44IO2++67Z+4ZnDozOm6EAAQgAIGSEyjTVrAlR0X1OpgAsZx/51VaoFx++eXR4nVNv/rWt761Ea0f/ehHdswxx9hxxx1nN910U0uaysLsvPPO9vzzz1v9FK/vfOc79q53vSuaRnbrrbd69QpO7YWPmyEAAQhAIACBvLb/LdNhegEwYQICDQkQy/k7RqUFyplnnmmXXXZZJFK05qT+0pQsTc3ab7/97M4770ykeeONN9pJJ51kmjoWL5L/wx/+EC2S19SvWbNmRVPKfC6c2oce90IAAhCAgA+BvLf/JYPi0zvc2ykEiOX8e6rSAmXMmDE2bdo0O/vss+2iiy7aiJamfe2xxx6255572v3335+K5s9//nN7z3veY3/+85/Xlx88eLB98pOfjITQpptumspO7Lz1hZcsWRJNSbvvvvtS2aEQBCAAAQhAIAQB1x2Qsmz/yxqUED2FjbITQKD491ClBcrpp59u06dPt4kTJ0Y7edVfWi8icZJWoFxyySX26U9/OpoSpjUru+66a7TNsNaxfPe737V3vvOdpixLmguBkoYSZSAAAQhAoCgCRWz/yy5eRfUmz2knAQSKP/1KC5SQU7y0FfHIkSOj6WCa0rXJJpusp//SSy/ZgQceaL/+9a/tJz/5SbSYPuuFU2clx30QgAAEIJCVQJHCwVUInXKK2VVXZW0Z90GgeALEcv7MKy1QQi6S7+3tta997WvRVDFNGau/9N/POeccO+uss+ziiy/O3DM4dWZ03AgBCEAAAhkJFDn1ymUqmZrTv7/ZaaeZTZli1tOTsYHcBoECCRDL+cOutEBJu82wpmidf/75LWm+9a1vjQ56/OIXv2if+MQnNiqr/z527Fj70Ic+ZFdeeWXmnsGpM6PjRghAAAIQyEig6MXrSYfpNWrGYYeZZVn3khEJt0EgMwFiuczo1t9YaYHywgsvRLtqrVixouVBjYsWLYqmaLW6Tj31VLvqqqvs/e9/v33961/fqOgpp5xi11xzjU2ePNk+85nPZO4ZnDozOm6EAARKTCCvbWtL3OSOqlq7tv89+WSza69Nj0rTw6ZOTV+ekukI8H6m45S2FLFcWlLNy1VaoKjZWiA/adIkO+igg6IMyOabbx7R0LbD48ePt0MOOcRuueWW9YSuuOIK0/+OP/74SGzEl85JOeGEE6JduvTPOlU+vr73ve9Ff9P129/+1l7zmtdk7hmcOjM6boQABEpIIO9ta0vY5I6sUtEZFEEqct1LR3ZKAZXm/cwHMrGcP9fKC5RVq1ZFi9tvv/12GzJkiI0YMcIeeeSR6N+32WYbW7hw4QYnv2t3Lk33UsZE55rE19q1a6PthW+44YboPx1wwAG2yy67mM5BueOOO6L/JiE0YcIEr17Bqb3wcTMEIFAiAi5rDZi+096OK3INStzSdjyzvZTDPt0368H7GbY/aq0Ry/mzrbxAESKd/q5syHXXXWfLli2zrbbaKjpYUVsP77TTThtQbCZQVEgiZebMmdEUr3vuuceeffZZe8UrXmFvfOMbo3Upsul74dS+BLkfAhAoCwHX3ZqYvtO+nmtHNqMdWZv2EQ735FBZD97PcH1Sb4lYzp9tVwgUf0zFWcCpi2PNkyAQgoDvKGaIOpTFRi2Lp582W7xYAzvpazdggNmyZWaDB6e/h5LhCBQdsLZr3Us4YsVbCpX1aIcgLZ5W+55ILOfPHoHizzCoBZw6KE6MQSA3AqFGMXOrYIGGk1i4VEXTfjxnyro8jrI1BFyD374+v21/yaC4u18oEcn0Onf2LncQy7nQalwWgeLPMKgFnDooToxBIBcCroFclbdGdWGRpjNGjTKbMydNScrkQSBp+19luUaPDnMmCUGyWw+GzHogDt3Yu5YmlnMltnF5BIo/w6AWcOqgODEGgVwIhBrFzKVyBRt1ZZFUvWHDzBYsSCrF3/MmoOl6M2aYzZtntnKl2aBBZiNHmvX2hpuCFzLgzptHGeyHFHRMr8u3R4nl/PkiUPwZBrWAUwfFiTEIBCeQJajaZBOzESPM/vGPfAK94I1MaTALiyTTLhkU1v8k0Sz/310FbjdvpBAy6xHSVvm9rPgaEsv5M0eg+DMMagGnDooTYxAITiDrKGZ9RUJOlQneyJQGQ7GofVyaNShJa16qwDZlF3R8MZcpgtqK2nfdSycDC5n1yPrupnk/O5lxqLoTy/mTRKD4MwxqAacOihNjEAhOIOvIY7OKdPL5H6FZpNnFyzWgrfL6n+DO3SaDRa57CdXEdmTvsr5vjbKSWbKfad7PUHw73Q6xnH8PIlD8GQa1gFMHxYkxCAQnkHUUs1VFOnXaSmgWaTgwJSi4S5fGYBHrXnwb287sXeisB++Srzc0v59Yzp8tAsWfYVALOHVQnBiDQHACWUcxW1WkyJHJkCO/IVmkmb7DqG9wd8agA4F2Z+9C+79re7p5ep2Dm0RFieVciW1cHoHizzCoBZw6KE6MQSA4gayjmEkVyXtudx4jvyFYuKwXyfq8vNkm9S1/rwaBMmQcQtehE6fXdYI3Ecv59xICxZ9hUAs4dVCcGINAcAJZRjHTVMJl96o09mrLuI6Upl23IRY77GC2Zo1rjcx2333deRou29Zmzdjkyda95dzRiQSyvPd5ZEZd3+W0WY9OmF7XSX5DLOffWwgUf4ZBLeDUQXFiDAK5EHAdxUxTiTzP/3Ctb5q1IHGbTj7Z7Npr07TwX2WyBm5Z17zkydat5ZTuVAJlyt6R9Si/FxHL+fcRAsWfYVALOHVQnBiDQC4EXEYx01Ygr1H+vEd+xWK33cyeeCJtS81cBFCtVTIo6RlTMiyBMvoeWY+wfRzSGrGcP00Eij/DoBZw6qA4MQaB3AgkjWK6PjivdRJFjPw+/bTZ61+fTqSkWQzfjF0RbXHtN8p3BwGyd93Rz6FaSSznTxKB4s8wqAWcOihOjEEgdwL1o5ibbWZ2661mL72U/tFZpzyleUJRI78SbMqMXHdd4zUpLovhm7Ur72xQGp6U6U4CRb1H3Um3eq0mlvPvUwSKP8OgFnDqoDgxBoG2EMhzzYdrg4oe+c172kmZ2Lr2BeU7lwDZu87tu3bUnFjOnzoCxZ9hUAs4dVCcGINAWwi4rFHxmfKUpnFVG/ktE9s0/ClTDQJk76rRj0W1gljOnzQCxZ9hUAs4dVCcGINA2wgkrVEJMeUpTeOqOPJbFrZp+FPGnUDIw0Tdn978DrJ3IWlW2xaxnH//IlD8GQa1gFMHxYkxCLSdQN5TnpIaWNWRX3G9/HKzG280+9Of1lHYdluzE080GzvWbPDgJDL8vWwE8jhMNGQbyd6FpFltW8Ry/v2LQPFnGNQCTh0UJ8YgAAFbt3h92rT0KLJuA5z+CdlLlj2Izd6y7r7TNfhPe5hoaKpk70ITraY9Yjn/fkWg+DMMagGnDooTYxCAgJm5Bn9pT58uGq5rO9oVxBbNpQrP6zQR3e7MaBX6vMptIJbz710Eij/DoBZw6qA4MQYBCPyTQFEjv3muH+i0IBbnS0egqtMQ07WeUlUkQCzn36sIFH+GQS3g1EFxYgwCEKgjkNfIb95Trwhiq+vKVdzIobq9RcvSECCWS0OpdRkEij/DoBZw6qA4MQYBCBRAoIipVwSxBXRkmx5Rta2w24SRx5aIALGcf2cgUPwZBrWAUwfFiTEIQKAAAkVMvSKILaAj2/SIog8TbVMzeWwXESCW8+9sBIo/w6AWcOqgODEGAQjkTKCoqVcEsTl3ZBvNIz7bCJ9H50KAWM4fKwLFn2FQCzh1UJwYgwAEciZQ1NQrgticO7KN5ovyoTybmOfmEHnWG9v5ECCW8+eKQPFnGNQCTh0UJ8YgAIGcCWQVDltvbbbnnmaDBpmNHGnW29v6cMUqBLE5d0XHmi8qC5cHoLw3h8ijztjMnwCxnD9jBIo/w6AWcOqgODEGAQjkTCDr1Kv6ag0YYDZ6tNmUKWY9PRtXupOD2Jy7oBLmi1jHFBpUEZtDhK4z9oohQCznzxmB4s8wqAWcOihOjEEAAjkTyJpBaVatww4z0wGLf/ub2fTpZvPnm61cuS7T8te/mt1xR/oGKeidOjV9eUq2j4BrsF+Gw0Q7UVS1r4e768nEcv79jUDxZxjUAk4dFCfGIAABTwJJc+uzTr1qVa299jJbssRs9eqNS/XrZ7Z2bXKjJHTKEMQm15QSMYGiDhMNQZyMXgiK1bVBLOfftwgUf4ZBLeDUQXFiDAIQyEgg7dz6s85at5akkZjI+OhUtzUTKklTxVIZp1BbCeR1mGjIRmUV5rpvwoSQNcFWGQkQy/n3CgLFn2FQCzh1UJwYg0ChBJKyDYVWxuNhrtNtdt3VbOZMjwdmvPXAA81e8Yp/TQFLs9g+46O4DQIbEMg6tXHUKLM5c4BZdQLEcv49jEDxZxjUAk4dFCfGIFAIgbTZhmYLwAuppMNDXOfWv+pV60SC/lfkpWzJsmWtd/8qsj48q3sIZN0cYtgwswULuodTt7aUWM6/5xEo/gyDWsCpg+LEGARyJ+CabdAC8IEDc69W5gdkmVuf+WEBbmTKTACImGhIoFVG9JRTzObOdQdHBsWdWSfeQSzn32sIFH+GQS3g1EFxYgwCuRNwzTaUfWeprHPrG4HedFOzl17KtwsI+PLl243W02RE997bbUe5mCOCujs8iljOv58RKP4Mg1rAqYPixBgEciWQJdtQ9mlJWefW5wq6hXGmzLSLfDWf65IRTbujXEyq7O9+NXu0Pa0ilvPnjkDxZxjUAk4dFCfGIJArgazZhjKPomadW58r6BbGyaC0i3w1n+uaEXWhUPbsqUtbKNuaALGcv4cgUPwZBrWAUwfFiTEI5Eoga7ahzEF11jblCrqF8TKLvXYx4bnZCGTJiKbNonAuT7Y+6dS7iOX8ew6B4s8wqAWcOihOjEEgVwJZsw1lnpaUNSuUK+gmxpky0w7q1X1mVt/Xdtd33dX4LCDO5amuv7RqGbGcf78jUPwZBrWAUwfFiTEI5Eoga7ahzBmULKPIuUJuYZwpM+0iX83n+rzPV19tNmOG2bx5nMtTTe9waxWxnBuvRqURKP4Mg1rAqYPixBgEciWQdcS17NOS8pyHn9QhQ4aYPfFEUikzpswkM6KEG4EqZkTdCGxcuiqHz/pycL2fWM6V2MblESj+DINawKmD4sQYBHIlkCXb0AnTklx2MgoJWKLjppvMPvOZdSfTr169sXWmzIQk3h220gbZPhmUqp0On2ar5dGjzTrl8NmiPZ1Yzp84AsWfYVALOHVQnBiDQO4EXLMNnTItSQHKuHHNhUJIsI1Eh4JKpsyEpNx9tlyD7E7JiKYVXFl73GWAQoMKZT98NisHn/uI5XzorbsXgeLPMKgFnDooToxBIHcCTz9ttuuuZitWJD/q5S83+8MfzLbaKrlsWUrUC4Vly8wefzx77bT+RtfKlWaDBpmNHGnW22s2eHB2m9zZnQRaBepbbml29NFm8+cns4mDbL3DQ4c2ztw1s1JkRtRVcCW3vHGJqg66ZOWR5T5iuSzUNrwHgeLPMKgFnDooToxBIHcC3fYxdxldrYdfZDCXe8fzgLYRSBOo77ab2e9/n76KcWbzlFPMrrnG/b70d2Qr6fLe+WQ1qjptNRv17HcRy2VnF9+JQPFnGNQCTh0UJ8YgkCuBbv2Yx9O/pk0zW7s2PeJOmd6WvkWULJqAS6DuUrf+/c3e+16zb3zD7MUX091Z5EYNRQ2EdMo0t3Q91L5SxHL+7BEo/gyDWsCpg+LEGAScCLjO7e72j/nSpWaHH75u2lrSVWQwl1QX/t65BFwD9Txa6rpRg+vvSn2dixwIYaOAMB5DLOfPEYHizzCoBZw6KE6MQSAVgTRTRhrtWMPH3CxpMb1rMF8UDkEAACAASURBVJeqwyjUlQSyBOp5gDr5ZDOde5J0Jf2ubLqp2fveZ/bVr5r19DS3VuRACFstJ/Vqur8Ty6Xj1KoUAsWfYVALOHVQnBiDQCIBlykj9XO7+Zj/Cy+7biW6GgU8CWQN1D0fu9HtadZSufyu6Oyf++5rvnlGkQMhRT4rdL+UyR6xnH9vIFD8GQa1gFMHxYkxCCQScJ0yUruOgo95Il4KQCAYgazvW7AK1BhKOmzV9XdFImXJErOBAzeubd4DIbVT0LSxgHbqc72SeLja6/TyxHL+PYhA8WcY1AJOHRQnxiDQkkCWKSO1o6dZR3Szfsx957LjDhDoZAJZA/U82qztspsdzpjld0V1bDZ1LKswa1VHPS9pClpabmkySmltVaUcsZx/TyJQ/BkGtYBTB8WJMQi0JOArMLIEIlk+5kmBBOs8cPRuIJA1UM+DzbBhZgsWNLac9Xdlk03M/vjHjc8E+sxnzD7/efdWnHWW2cUXN77PZQpa0pPZnW9jQsRySV6T/HcESjKjQkvg1IXi5mFdTiBrwFM7Muk6lcP1Y+4SSDQ7/4DMS5c7ekWanzXwz6P5rbITWX9XVM9G2dWsAmXnnc22377xgaiuv1vNGLI7X2MyxHL+bx0CxZ9hUAs4dVCcGINASwJZp4zUjp66Coi+vtY79tRX2DWQqBVAZF54AapEIEvGMq/2t5qmmfV3RXVtJHx8BE9t++NMqzIre+5ptnp1djpkbVuzI5bL7lvxnQgUf4ZBLeDUQXFiDAItCWT98NcHEXlttZslIIunkG25pdnRR5vNn5/sBD4nTydbpwQEwhFwFexJT+7Xz0yHNLoE60nTNLP+rqiujaaO+QieRu1XZkVnGLleO+1kttdeZgccsO6A1jvvNFu5snGGxtV21coTy/n3KALFn2FQCzh1UJwYg0BLAlmnjDQbPc2y1W6r6VfTp5tNnOjeiaqfAhCd9J72cp16ltZuWcsx7a2sPdO6Xi4Zy7QtVMB9xx1pS5slvStZf1dUgzwzKOlb2LikDmXdbTezWbMaCzqyKv/iRizn621mCBR/hkEt4NRBcWIMAi0J+GQoBg/2g5tm+tV225k9/rj7cw49dN0C3pCjwu61KOcdabg3OpSznK3pzlolZSxdqSjwfuml9NnGpGma+l3ZYQezNWtca9J4DYqP4HGvQfM7Bg1alzFJusjImhHLJXlJ8t8RKMmMCi2BUxeKm4dBIBoNLTrTkMcocG1XaipGlrMMNHqrE7J9xVdZ3cqFO0FWWXvxX/Wqz1j+7ndmK1a411vTqn7+c7Nx48xmzgyTHdCWwdde61aXZlPHsgykuD05fOmkLFP4J5bLIrGcf38gUPwZBrWAUwfFiTEIJBJwDVqTRk8TH2jrpoi4iKI0NmvLbL212dNPu961rrzm5L/qVWann2724Q9XS6y4cu/2ICubB7XvrqxrP2qnVWWZptmoxfpd0XSoJ55Iz6OVv7n6bvqn5lMyaZ1OPk8tj1ViOf++QKD4MwxqAacOihNjEEhFIGnKSMi51UWMhmbNoNTD0uLh004zmzLFbeexVNALLpSFe7cHWQV3kffjsk6FynpwalKFNUjw+tenEylJ2/W6DKQk1auov+fFtaj6+zyHWM6H3j8Hy9au1V4MXGUhgFOXpSeoRzcSCDV62opd1iAqbX8oqNauP7/4Rdo7kstVYbpTVu7dHGQle0a5SpRRhEpYKPtx3XWN16S4DH4kDaSUqzcaL/gvWx3zqg+xnD9ZMij+DINawKmD4sQYBEpHIOs0lLQNUTA0dGi23b9aPaPTpztl5d7qQL60fUK54gi4ToUqyq9DDn7U2/rTn8yWLHFnnHa74bSL4+tr0GjLZPdaduYdxHL+/YZA8WcY1AJOHRQnxiBQOgKhzzSobWA8TeSZZ9aJFJddvJJAdfp0p6zcuznISvKJMv7dZSpU0rSqMravUZ2yZo4eeMBs8uTkjQEkfn72M3ca3SzuieXc/aX+DgSKP8OgFnDqoDgxBoHSEcg6kq9tS596Kv0OQ64jyWlAdfJ0p6zcuznISuMTZSyTNBXKZVpVGdvXqE6u73tt5igpu8P0SHcvIJZzZ4ZA8WeWqwWcOle8GIdA2wn4fOx7e81mzDCbNy/5BGeXkeS0UDo5WPfhPmFCWkKUKxOBpMC7THX1rYvL++6aOcqaodFW51Xdsjypv4jlkggl/50MSjKjQkvg1IXi5mEQKJxAkR/7pJFk18Z38nSnIrm7cqU8BEIQSHrffTJHPhmaEG3rNBvEcv49hkDxZxjUAk4dFCfGIFBKAkV/7DWSrIPjfvpTPxydnEFRy4vm7kebuyGQjUAemaM8MzTZWlnuu4jl/PsHgeLPMKgFnDooToxBoJQEXD72Ojhx9GizL33J7yySLBmEenjtXIOioGv6dLP585OntzXrdBfurtNgSuloVAoCAQnkmaEJWM1SmCKW8+8GBIo/w6AWcOqgODEGgdIS0Mf+4x9ft4NOmtOoQpxF4ppBqIXXrl28xGnsWLNZs9JvENCq0wmySvtKULEOIZBHhqZDmp66msRyqVE1LYhA8WcY1AJOHRQnxiBQagKugsH3zAaXDEI9OE0R22svvwyGa2e41NdVwBFkufYG5SEAgbQEiOXSkmpeDoHizzCoBZw6KE6MQaC0BLJMuQqRxUjKIDQCNmSI2Z//HCaD4dIhRQs4l7pRFgIQgEAzAsRy/r6BQPFnGNQCTh0UJ8YgUFoCIbe9zbI+Q/dceaXZtGlmf/xj42lm/fubbbut2RNPJGN0zWAkWWyXgEuqF3+HAAQgkESAWC6JUPLfESjJjAotgVMXipuHQaBtBEIcHBhqfUaz6U6/+53ZNdekR+Q7Ba32SSEFXPoWUBICEICAPwFiOX+GCBR/hkEt4NRBcWIMAqUlMHy42cKF7tWLzyLJc32GatXuDEYIAedOlzsgAAEI+BMglvNniEDxZxjUAk4dFCfGIFBaAr4BeN7rM9qdwfAVcKXteCoGAQhUngCxnH8XI1D8GQa1gFMHxYkxCJSWgI8AOO00s6FDGy9ab9Zg1wX2vgLKF3y7n+9bf+6HAAS6lwCxnH/fI1D8GQa1gFMHxYkxCJSWgM8UKh1YOHGie9NcDlpsdwbDR8BNmODOhjsgAAEIhCJALOdPEoHizzCoBZw6KE6MQaDUBLJO0yoiu1DEM1p1jo+AGzy41N1O5SAAgYoTIJbz72AEij/DoBZw6qA4MQaBUhNwXeje12fW02NWRHajDBmMrAKu1J1O5SAAgcoTIJbz72IEij/DoBZw6qA4MQaB0hNIOjhRa0dGjzabMmWdONFVRHajDBmMrAKu9J1OBSEAgUoTIJbz714Eij/DoBZw6qA4MQaBjiHQ7CyS3l6z+ilLRWU3ypDByCLgOqbTqSgEIFBJAsRy/t2KQPFnGNQCTh0UJ8YgUEkCRWU3ypTBcBFwlex0GgUBCHQMAWI5/65CoPgzDGoBpw6KE2MQqCyBorIbEinK4nzjG2Zr1zbGuckmZh/4gNmXvvSvaWiVBU/DIAABCCQQIJbzdxEEij/DoBZw6qA4MQaByhIoIruhZ3zsY2azZjUXJ7WADzvMbPZss4EDK4udhkEAAhBIJEAsl4gosQACJRFRsQVw6mJ58zQIdDKBPNdnuAigWobK7Eyd2slUqTsEIAABPwLEcn78dDcCxZ9hUAs4dVCcGINAVxDIY32G6xSyGLTrifVd0UE0EgIQ6CoCxHL+3Y1A8WcY1AJOHRQnxiAAgQwEsizCr32My4n1GarHLRCAAARKTYBYzr97ECj+DINawKmD4sQYBCCQgUDWbYzjR40aZTZnToYHcwsEIACBChAglvPvRASKP8OgFnDqoDgxBgEIZCCQ9SDI+FHDhpktWJDhwdwCAQhAoAIEiOX8OxGB4s8wqAWcOihOjEEAAhkIDB9utnBhhhv/eQsZlOzsuBMCEOh8AsRy/n2IQPFnGNQCTh0UJ8YgAIEMBHwzKPEaFC3enz7dbP58s5UrzQYNMhs5ct25KoMHZ6gYt0AgBwI+fupzbw5NwWRJCBDL+XcEAsWfYVALOHVQnBiDAAQyEPBZg6JdvB54wOzii9edn7J69cYVUJnRo82mTOFgxwzdwy2BCGgr7bFjs/mpz72Bqo+ZEhMglvPvHASKP8OgFnDqoDgxBgEIZCDgs4vXaaeZLVmyLmuSdHGwYxIh/p4XAZdzfur91OfevNqD3XIRIJbz7w8Eij/DoBZw6qA4MQYBCGQkkOUcFAVyu+5qNnNm+odysGN6VpQMR8DVv2v91OfecC3AUpkJEMv5905XCJRVq1bZ5MmT7frrr7dHH33Utt56azvqqKPsggsusB133NGZ4kMPPWSf//znbe7cufbkk0/aoEGDbI899rDjjz/ePvWpTznbq70Bp/bCx80QgEAgAi6jxP36rZuypZ+/173ObM2a9JXgYMf0rCgZhkCWDGHsp2vXmg0d2njqYrPa4eNh+q2TrBDL+fdW5QWKxMkRRxxht912mw0ZMsRGjBhhS5cutUWLFtm2225rCxYssN122y01yZtuusne97732T/+8Q/bd999bc8997S//OUvdu+999rmm29uEi8+F07tQ497IQCBkAQkUsaNW5cRabSWRMLkgAPMbrjBbLvtzF77WrOlS91rwMGO7sy4IzuBrGusdJ8EysSJ7s/29XEW47szb+cdxHL+9CsvUD772c/ahRdeaMOHD7c5c+bYFltsEVG79NJLbfz48XbooYfa/DSTpc3s7rvvtje+8Y1RxuS73/2uHXLIIet7YM2aNbZ48WI7QF9rjwun9oDHrRCAQC4EFBzNmGE2b97Gu3Hpgdqp6ytfMXv88WyPZ1vibNy4KxuBrLvUyU91zZ3r/tysPs5ifHfWZbiDWM6/FyotUFavXm3bbbedPfPMM5F4UMaj9tp7773tnnvusTvuuMP233//RJoSM7fccov94Ac/sGOOOSaxfJYCOHUWatwDAQgUTSApcHKpDwc7utCirC+BrOf8yE91ZTkjKIuPu0yzZMMJX68Iez+xnD/PSguUm2++2Q4//PBoClejqVfKrCjDcu6559p5553Xkubvfvc7e+1rXxtN6br//vv9yTexgFPnhhbDEIBAIAIugVOaR2YdXU5ju1UZps34EuzM+zslg8Ji/M70L9WaWM6/7yotUC6//HI744wz7MQTT7RvfetbG9H60Y9+FGVCjjvuONPaklbXFVdcYZ/4xCfsYx/7mH3hC1+wb37zm1HmpV+/fvaGN7zB3v3ud9uWW27p3SM4tTdCDEAAAjkTcA2ckqrjOz8/yX7935OyP5zT4kq0s8pnXYMiIa3JFp/7nHt7XX3cZyE/h6C690/oO4jl/IlWWqCceeaZdtlll0UiRWtO6i+tKdlnn31sv/32szvvvLMlzY985CN25ZVX2ic/+cloild9FuWVr3ylffvb347WtPhcOLUPPe6FAATyJpAlcGpVp6J3OHLJ/jBtJm9vao99Hx/u33/dLnV571SXVUS5CqH29ED1n0os59/HlRYoY8aMsWnTptnZZ59tF1100Ua0NO1L2wOnmbb13ve+N8qa9O/f37baaiubOnVqNH1s+fLldv7559t1110X/ff77rsv2i0s6Yqdt77ckiVLoilpssMFAQhAoGwEsgZOzdpR9DkortmfoutXtv6uan1c/cCHQxYf8pmGNmeOT225NwQBBIo/xUoLlNNPP92mT59uEydOjHbyqr8efPDBSJykESiaJnbjjTdGJn7yk5/Ykfr1qLm0u9evfvWrpmKo/tkIFH/nxQIEIFA8gayBU6Oa7rKL2W9/a9bTU0w7soycF53hKYYET3HJpPnQUhaur2+dj7usefJZyL9ggU+NuTcEAQSKP8VKC5SQU7xOO+00mzlzpu2www722GOPbUT+K1/5in30ox+1gw8+2H75y19m7hmcOjM6boQABAogkDVwalS1//ovs699rTiBkjX7w7SZAhyrDY9IOucnqUqbbGK26aaNzwiqXceks1PGjjWbNSu5bCzWsw4EtGvDiSRW3fZ3Yjn/Hq+0QAm5SF6nzmu3r4MOOshuvfXWjcjPnj3b3va2t0VTxh544IHMPYNTZ0bHjRCAQAEEsgZOzapW5DqPrHUn6CvAsdr4CGU2Tj7Z7Kc/da/EWWeZ6Xi1RmcEabG6S6am9l1ATLv3RZnuIJbz741KC5S02wxrq2GtI2l1aWH8O97xDttrr71MWw7XX9dcc42dcsop0VkrOnMl64VTZyXHfRCAQBEEsgZOreqWZY5+lrZmzf5kOcMiS/24p30EQovXeDqX6wGm8bvAdMT2+UKIJxPL+VOstEB54YUXooMaV6xY0fKgxkWLFtmBBx7YkuZzzz0X2ZJNLWTfaaedNij/wQ9+0GbMmGG9vb3RupesF06dlRz3QQACRRDIEjgl1auodR6hg9CkdvH3ziEQSrwmbWGdRKT2XXBdyF+U0E9qA3/nHJQQPlBpgSJAWiA/adKkaGrWnDlzbPPNN4+4advh8ePH2yGHHBKdDh9fOu9E/zv++ONt8uTJGzA+66yz7HOf+5y9/e1vj3b0im319fXZscceay+99JItXLjQtGA+64VAyUqO+yAAgaIIuAZOaepVxDqPrNmfIuqWhhFl8iMQQry6TOdq1ZLY31zs1S7Gz48SltMSIJZLS6p5ucoLlFWrVtnIkSPt9ttvj7b/HTFihD3yyCPRv2+zzTaRoNh9993XE9KJ8prudeqpp9osrWiruWTrLW95S7QGRbbe9KY32VNPPRXZWLNmTSSEJkyY4NUrOLUXPm6GAAQKIOASOKWtThHrPLJkf4rK7qTlRLl8CIQQr6GEe+27kLSQn0NF8/EHX6vEcr4EzSovUITo+eefj7IhOqtk2bJl0XklRx11VLT1cP1UrVYCRbY0xUsnyWvNycMPP2w9PT12wAEHRIdBKrPie+HUvgS5HwIQKIJAUuDkWoei1nm4BpFMm3Htyc4s7ytes9zfjFSjd0FrWmbMaL4YPyR1l+2QQz63SraI5fx7sysEij+m4izg1MWx5kkQgIA/gfrASZsYPv20u90iMijrBqzMjj7abP785DoybSaZUZVK+IjXrBmYRvyKehfqn520foZsTXpvJ5ZLz6pZSQSKP8OgFnDqoDgxBgEIFEwga6BW5DqPpOwPgVjBTlOSx/mI16xrWBo1vch3IX6+a9tnzzYbOLAkHVfCahDL+XcKAsWfYVALOHVQnBiDAAQKJpBlqku71nkUOW2m4G7gcRkJZBWvWXcBq69mu94Fn+xRRtSVvo1Yzr97ESj+DINawKmD4sQYBCDQBgIEO22AziODEnAVr6EyKO1Y89RJgwpBOzlHY8Ry/nARKP4Mg1rAqYPixBgEINAGAq7TRfr6zHp62lBRHgmBQASyTm2sfXy71jxlrXs7pqIF6q7czRDL+SNGoPgzDGoBpw6KE2MQgECbCGSdKtOm6vJYCHgRyJKFiB/Y7jVPWbM/7VrM79VRBd1MLOcPGoHizzCoBZw6KE6MQQACbSbgOlWmzdXl8RDITMB1auMOO5h99KNmvb1mgwdnfqz3jVnXzxS1Nbh3A9tggFjOHzoCxZ9hUAs4dVCcGIMABCAAAQhkIuB6HkinTm0kg5LJPVreRCznzxSB4s8wqAWcOihOjEEAAnUEXIMuAEKg2wj4nAfSiVMbWYMS3sOJ5fyZIlD8GQa1gFMHxYkxCEDgnwR8gi4gQqBbCLhmQZqdB9JJUxuzrJ9p13bIneKHxHL+PYVA8WcY1AJOHRQnxiAAgQynp3MIG27TrQRc15G0Y1vgPPqmW9udB0vZJJbzJ4tA8WcY1AJOHRQnxiAAATMj+MANIJBMoJszCa6ZI7YGb+1PxHLJ71tSCQRKEqGC/45TFwycx0Gg4gS6OeiqeNfSvMAEun0tRieunwnsAsHMEcv5o0Sg+DMMagGnDooTYxDoegLdHnR1vQMAIDUBdrNah6qT1s+k7tyCCxLL+QNHoPgzDGoBpw6KE2MQ6HoCBF1d7wIASEmA80BSgqJYIgFiuUREiQUQKImIii2AUxfLm6dBoOoECLqq3sO0LxQBxHwoktghlvP3AQSKP8OgFnDqoDgxBoGuJ0DQ1fUuAICUBJgOmRIUxRIJEMslIkosgEBJRFRsAZy6WN48DQJVJ0DQVfUepn2hCLChRCiS2CGW8/cBBIo/w6AWcOqgODEGga4nQNDV9S4AAAcCbMntAIuiTQkQy/k7BwLFn2FQCzh1UJwYgwAEOAcFH4BAagKcB5IaFQVbECCW83cPBIo/w6AWcOqgODEGAQhkOEmeQ9hwm24mwHkg3dz7YdpOLOfPEYHizzCoBZw6KM5KG1v+7HKbvni6zX9kvq18YaUN2myQjdx5pPXu22uDtxhc6bbTOHcCBF3uzLijuwlwHkh3979P64nlfOituxeB4s8wqAWcOijOShp7fvXzNrZvrM26a5atXrN6ozYO2GSAjd5ntE05eor19O+pJAMalZ0AQVd2dtxZfQJ6P6ZPN5s/32zlSrNBg8xGjjTr7TUbzLhP9R0gUAuJ5fxBIlD8GQa1gFMHxVk5YxInR197dJQ1SboOe/VhNvuk2TZwwMCkovwdAhCAQFcTUIZx7FizWbPMVm887mMDBpiNHm02ZYpZD+M+Xe0raRpPLJeGUusyCBR/hkEt4NRBcVbO2JgfjLFpi6elbteY/cbY1GOnpi5PQQhAAALdRsB1Yfzs2WYDGffpNjdxai+xnBOuhoURKP4Mg1rAqYPirJSxJ5990oZeNrThtK5mDdV0r2VnLGNNSqU8gcZAAAIhCbC1cEia2BIBYjl/P0Cg+DMMagGnDoqzUsYm/WKSTbx5onObJh0+ySaMmOB8HzdAAAIQqDoBzgmqeg+3p33Ecv7cESj+DINawKmD4qyUsSOvPtLmPjzXuU2jdh1lc06Z43wfN0AAAhCoOoFJk8wmuo/7mO6bwLhP1d0jc/uI5TKjW38jAsWfYVALOHVQnJUyNnzGcFv42ELnNg3bcZgt6F3gfB83QAACEKg6gSOPNJvrPu5jo0aZzWHcp+rukbl9xHKZ0SFQ/NHlYwGnzodrFaySQalCL9IGCECgTASGDzdb6D7uY8OGmS1g3KdMXVmquhDL+XcHGRR/hkEt4NRBcVbKGGtQKtWdNAYCECgBATIoJeiEClaBWM6/UxEo/gyDWsCpg+KslDF28apUd9IYCECgBARYg1KCTqhgFYjl/DsVgeLPMKgFnDoozsoZ4xyUynUpDYIABNpIgF282gi/wo8mlvPvXASKP8OgFnDqoDgrZ8z1JPm+k/uspz/HHlfOEWgQBCAQjADnoARDiaF/EiCW83cFBIo/w6AWcOqgOCtpTCJlXN84m3nXzIaHNupwxtH7jLYpR09BnFTSA2gUBCAQkoDrSfJ9fWY9jPuE7ILK2SKW8+9SBIo/w6AWcOqgOCttbPmzy23Gr2fYvKXzbOULK23QZoNs5M4jrXffXk6Or3TP0zgIQCA0AYmUcePMZs40W716Y+sDBpiNHm02ZQriJDT7KtojlvPvVQSKP8OgFnDqoDgxBgEIQAACEEhNYPlysxkzzObNM1u50mzQILORI816e80GD05thoJdToBYzt8BECj+DINawKmD4sQYBCAAAQhAAAIQKJQAsZw/bgSKP8OgFnDqoDgxBgEIQAACEIAABAolQCznjxuB4s8wqAWcOihOjEEAAhCAAAQgAIFCCRDL+eNGoPgzDGoBpw6KE2MQgAAEIAABCECgUALEcv64ESj+DINawKmD4sQYBCAAAQhAAAIQKJQAsZw/bgSKP8OgFnDqoDgxBgEIQAACEIAABAolQCznjxuB4s8wqAWcOihOjEEAAhCAAAQgAIFCCRDL+eNGoPgzDGoBpw6KE2MQgAAEIAABCECgUALEcv64ESj+DINawKmD4sxkTCe0T1883eY/Mp8T2jMR5CYIQAACEIBA9xIglvPvewSKP8OgFnDqoDidjD2/+nkb2zfWZt01y1avWb3RvQM2GWCj9xltU46eYj39e5xsUxgCEIAABCAAge4gQCzn388IFH+GQS3g1EFxpjYmcXL0tUdHWZOk67BXH2azT5ptAwcMTCrK3yEAAQhAAAIQ6DICxHL+HY5A8WcY1AJOHRRnamNjfjDGpi2elr78fmNs6rFTU5enIAQgAAEIQAAC3UGAWM6/nxEo/gyDWsCpg+JMZezJZ5+0oZcNbTitq5kBTfdadsYyG7zF4FTPoBAEIAABCEAAAt1BgFjOv58RKP4Mg1rAqYPiTGVs0i8m2cSbJ6YqW1to0uGTbMKICc735X0Di/zzJox9CEAAAhCAQHMCxHL+3oFA8WcY1AJOHRRnKmNHXn2kzX14bqqytYW0FmXeB+Y535fXDSzyz4ssdiEAAQhAAALpCRDLpWfVrCQCxZ9hUAs4dVCcqYwNnzHcFj62MFXZ2kL9rJ+dvt/ppdjVi0X+zt3HDRCAAAQgAIFcCBDL+WNFoPgzDGoBpw6KM5WxrBmU2HgZdvVikX+qrqYQBCAAAQhAIHcCxHL+iAsVKC+99JLddttt9sc//tG23357O+igg2zAgAFNW6GyDz30kL3//e/3b2mHWCjSqVmrsM4psq5BqXWpMW3c1YtF/h3yclNNCEAAAhDoCgJFxnJVBVqYQJHYOOmkk+zRRx9dz3Lbbbe1Cy+80E4//fSGfEePHm1XXXWVSdh0y1WEU7NWYUNvyhLg1/tjO3f1yiqwyrrIv1veddoJAQhAAALVJFBELFdNcv9qVSECZenSpbb33nvbypUr7eUvf7ntueee9sgjj9hTTz1l/fr1s+OPP96uvfZae9nLXrYBbwRKePdjrUJjpq5TpBpZaVfAn3WK2qhdR9mcU+aEdzIsQgACEIAABLqYAALFv/MLESgf+chHbOrUztjKXAAAIABJREFUqSbB8eUvfzkSImvWrLHrr7/ezjjjDPvLX/5iI0aMsO9///u25ZZbrm8VAsW/g+stuAbi7Zy6FL71zS26CLdmVnwCfp/pdlkX+Q/bcZgt6F1QJGaeBQEIQAACEKg8AQSKfxcXIlB23313e+GFF2zJkiUbrTlZtmxZlEFZvHix7bvvvvaTn/zEXvnKV0YtQ6D4d3CthSxTmdo5dSls65OtSaSM+eEYu+aea5ILNyiRJeAPMd2ODEqm7uImCEAAAhCAQC4EECj+WAsRKD09PXbMMcfYjTfe2LDGzz33nJ1wwgk2Z84c22uvvWzu3Lm2ww47IFD8+3cDC6xVSAaalZEsu2ZQXLI2rXYKy1rndk1JS+4FSkAAAhCAAAQ6lwACxb/vChEogwcPtoMPPti+853vNK3xiy++GC2iv+GGG2znnXeORMpFF13EInn/Pl5vgZH2ZJhZGcmya8AfarodmbHkfqUEBCAAAQhAoCgCCBR/0oUIlGHDhkVbC9fu4NWo6mvXrjWtV/nqV79qQ4YMiYTKwoUL2cXLv58jC6xVSAaZlZEObXxi/BM2eIvByQ8xs9CiIpTYSVV5CkEAAhCAAAQg0JQAAsXfOQoRKJ/+9KftkksusV/84hdRJiXpmjBhgn3uc5+LdvjSxTbDScTS/T1rdsB16lK62pSzVFZGOwzawR4787HUjQo9Lct1uljfyX3W078ndX0pCAEIQAACEIBAOgIIlHScWpUqRKD88pe/tEMPPdSOOuoo+/GPf5yq1pdeeql96lOfQqCkopWuUOigON1TO6tUVkbnHXaenTvy3NSNzSqEWolFiZRxfeNs5l0zbfWa1RvVRRsejN5ntE05egriJHVPURACEIAABCDgRgCB4sarUelCBIqmbj388MNRRmTXXXdNXeu7777bnnnmGTvssMNS39PpBfN06tDTijqddaP6Z2HUv1//KHuSdnqXnpt1KlmancK0ZfGMX8+weUvn2coXVtqgzQbZyJ1HWu++vU51rGL/0iYIQAACEIBA3gTyjOXyrntZ7BciUFasWBEd0Jjl+sEPfmDHHntslls78p68nZq1CsluUQSjPDIoyS2jBAQgAAEIQAACeRPIO5bLu/5lsF+IQHnVq15lX/ziF+1d73pX6jY/8cQT9vGPf9y++93vsgYlNbXkgqxVKAejrFPJXHcKS24tJSAAAQhAAAIQCEkAgeJPsxCBsskmm0TTu3QWype+9CXbcccdW9ZcZc4++2z729/+Zjrk8YEHHvBvaYdYKMKpWauQ7Ax5M8oylaybDs1M7iFKQAACEIAABMpJoIhYrpwtD1erQgTKrbfeaqeffrr9/ve/t0GDBtnFF19sH/vYxzZqxb333mtjxoyxRYsWWf/+/aNF8uecc4697GUvC9fiklsq0qlZq5DsDHkyKmIqWXILKQEBCEAAAhCAQEgCRcZyIetdJluFCBQ1ePXq1TZp0qRo+2D985ve9CabNm2aqRNXrVpl5513nl122WXR3w466KDoLJTXvva1ZWJVSF1w6kIwl+IhTLcrRTdQCQhAAAIQgEBQAsRy/jgLEyhxVX/7299G2ZQFCxbYgAEDooyJth7+wx/+EC2kl4D50Ic+5N+yDrWAU3dox2Wsdt5TyTJWi9sgAAEIQAACEMhIgFguI7ia2woXKPGzL7jggihrEh/GqJ26rrzyStt+++39W9XBFnDqDu48j6qHnEomW9MXT7f5j8xnm2GPPuFWCEAAAhCAQBYCxHJZqG14T1sEytVXX23jx4+3P//5z+trs9NOO0UL6LWQvpsvnLp7ej+0kFA2ZmzfWJt11ywOauweN6KlEIAABCBQMgLEcv4dUqhA0TSuD3/4w/bTn/40ypz893//t51xxhl27rnn2qxZs6L/dsIJJ0RbEg8ZMsS/dR1oAafuwE5zrHIeQsJ1Pcvsk2bbwAEDHWtOcQhAAAIQgAAEkggQyyURSv57IQJlzZo1dskll9j5559vzz33nO299942ffp023///dfX8Oabb47Wnjz00EPRWpTJkydHYqbbLpy62j2el5BgR7Bq+w2tgwAEIACBziFALOffV4UIlP3228/uvvtu6+npibIlmt616aabblT7f/zjH5GIkZh58cUXbfjw4V23mxdO7e/UZbaQh5DgTJUy9zh1gwAEIACBbiNALOff44UIFB3U+Ja3vCVaBL/rrrsm1vo3v/lNtNPX7bffbptttlm0DXG3XDh1dXs6LyHBqfTV9RlaBgEIQAACnUeAWM6/zwoRKFdddZW9//3vd6rt2rVr7YorrrCJEyfaihUrnO7t5MI4dSf3Xuu65yUkjrz6SJv78FxncKN2HWVzTpnjfB83QAACEIAABCDQnACxnL93FCJQfKr5+OOP2w477OBjoqPuxak7qrucKpuXkBg+Y7gtfGyhU11UeNiOw2xB7wLn+7gBAhCAAAQgAAEESp4+UHqBkmfjy2gbgVLGXglTp7yERF7CJ0yrsQIBCEAAAhDoLgLEcv79jUDxZxjUAk4dFGepjOUlJPKaOlYqeFQGAhCAAAQg0CEEiOX8OwqB4s8wqAWcOijOUhnLS0jktfi+VPCoDAQgAAEIQKBDCBDL+XcUAsWfYVALOHVQnKUylqeQyGP7Yld4y59dbtMXT7f5j8y3lS+stEGbDbKRO4+03n17bfAWg13NUR4CEIAABCDQkQSI5fy7DYHizzCoBZw6KM7SGctLSLgeANl3cp/19O8JwkfPHts31mbdNctWr1m9kc0Bmwyw0fuMtilHTwn2zCAVxwgEIAABCEAgBwLEcv5QESj+DINawKmD4iydsTyFhGyP6xtnM++aWZhQcG3P7JNm28ABA0vXL1QIAhCAAAQgEIoAsZw/SQSKP8OgFnDqoDhLaSxvIaGpVjN+PcPmLZ2X+1SrvDJCpew4KgUBCEAAAhBIQYBYLgWkhCIIFH+GQS3g1EFxltpYkUIiDxB5rqnJo77YhAAEIAABCBRBgFjOnzICxZ9hUAs4dVCcGMuRQF67kuVYZUxDAAIQgAAEcidALOePGIHizzCoBZw6KE6M5Uggr3NdcqwypiEAAQhAAAK5EyCW80eMQPFnGNQCTh0UJ8ZyJDB8xnBb+NhC5ycM23GYLehd4HwfN0AAAhCAAAQ6gQCxnH8vIVD8GQa1gFMHxYmxHAmQQckRLqYhAAEIQKBjCRDL+XcdAsWfYVALOHVQnJU31s7DEVmDUnn3ooEQgAAEIJCBALFcBmh1tyBQ/BkGtYBTB8VZWWNlOByRXbwq6140DAIQgAAEPAgQy3nA++etCBR/hkEt4NRBcVbSWLsOR2yUrfnrqr/aHX+8IzXnMfuNsanHTk1dnoIQgAAEIACBTiNALOffYwgUf4ZBLeDUQXFW0ljRhyMmZWv6WT9ba2sTWR/26sOs7+Q+6+nfk1iWAhCAAAQgAIFOJUAs599zCBR/hkEt4NRBcVbOWNHTqlyyNc2EyoBNBtjofUbblKOnIE4q55E0CAIQgAAE6gkQy/n7RFcIlFWrVtnkyZPt+uuvt0cffdS23nprO+qoo+yCCy6wHXfcMTPFBx980N7whjeY7L/1rW+1vr6+zLbiG3Fqb4SVNlD0wnTXbM2BrzrQXtHzClv5wkobtNkgG7nzSOvdt9cGbzG40v1C4yAAAQhAAALEcuF8oPICReLhiCOOsNtuu82GDBliI0aMsKVLl9qiRYts2223tQULFthuu+2Wiejhhx9u8+bNs7Vr1yJQMhHkJlcCRW7tW3S2xpUF5SEAAQhAAAJlJMBgs3+vVF6gfPazn7ULL7zQhg8fbnPmzLEtttgionbppZfa+PHj7dBDD7X58+c7k5wxY4Z98IMftDFjxthXv/pVBIozQW7IQqDIwxGLztZk4cE9EIAABCAAgbIRQKD490ilBcrq1attu+22s2eeecYWL15s++677wbE9t57b7vnnnvsjjvusP333z81zaeeesr22muv6J6zzz7b3vzmNyNQUtOjoA+BIjMoRT7Lhwn3QgACEIAABMpEAIHi3xuVFig333yzaRqWpnA99NBDG9FSZkUZlnPPPdfOO++81DTf+9732ve+9z2799577bHHHkOgpCZHQV8CRWY1iszW+HLhfghAAAIQgEBZCCBQ/Hui0gLl8ssvtzPOOMNOPPFE+9a3vrURrR/96Ed2zDHH2HHHHWc33XRTKpo//vGP7e1vf3u0wP6cc86J1qCQQUmFjkIBCBS5LoQMSoAOwwQEIAABCHQdAQSKf5dXWqCceeaZdtlll0UiRWtO6q+7777b9tlnH9tvv/3szjvvTKT597//3eR0PT090dSwzTbbDIGSSI0CoQm47qyV9XDEIrM1oRlhDwIQgAAEINAuAggUf/KVFihawD5t2rRonchFF120ES1N+9pjjz1szz33tPvvvz+RpoSOsjI///nPo6yJrqwZlNh56x+6ZMmSaErafffdl1gfCnQnAZezSXwORywyW9OdPUmrIQABCECgigQQKP69WmmBcvrpp9v06dNt4sSJ0U5e9ZfOMZE4SSNQtJB+2LBhdtJJJ9nXv/719aYQKP5OiAV3AhIp4/rG2cy7ZtrqNas3MhDqcMSisjXuBLgDAhCAAAQgUE4CCBT/fqm0QAk1xevFF1+0Aw88MDrk8fe//310fkp8ZRUozboOp/Z36m6ysPzZ5Tbj1zNs3tJ5uRyOWFS2ppv6jLZCAAIQgEC1CRDL+fdvpQVKqEXyOthxl112se23395e85rXbEBdWxhrLctWW20VnSqvc1Z++MMfZu4ZnDozOm7MiUBR2Zqcqo9ZCEAAAhCAQKEEiOX8cVdaoKTdZlhbDZ9//vlNacYCJQ3ul7/85dG5K1kvnDorOe7Lm0De2Zq86499CEAAAhCAQBEEiOX8KVdaoLzwwgvRQY0rVqxoeVDjokWLoilcWS6meGWhxj0QgAAEIAABCECgmgQQKP79WmmBIjxaID9p0iQ76KCDbM6cObb55ptH1LTt8Pjx4+2QQw6xW265ZT3JK664wvS/448/3iZPnpxIGIGSiIgCEIAABCAAAQhAoGsIIFD8u7ryAmXVqlU2cuRIu/32223IkCE2YsQIe+SRR6J/32abbWzhwoW2++67ryepE+U13evUU0+1WbNmJRJGoCQiogAEIAABCEAAAhDoGgIIFP+urrxAEaLnn38+yoZcd911tmzZsmhB+1FHHRVtPbzTTjttQBGB4u9UWIAABCAAAQhAAALdSgCB4t/zXSFQ/DEVZwGnLo41T/IjoEXz0xdPt/mPzG+6xXGaMn614G4IQAACEIBAuQgQy/n3BwLFn2FQCzh1UJwYy4GAth0e2zfWZt01q+khkae84ZToyVffc3WuB0nm0DxMQgACEIAABLwIEMt54YtuRqD4MwxqAacOihNjgQm4HNyY5tGHvfowm33SbBs4YGCa4huVIUOTCRs3QQACEIBAjgSI5fzhIlD8GQa1gFMHxYmxwATG/GCMTVs8LajVMfuNsanHTnWymSaLM3qf0Tbl6CnW07/HyTaFIQABCEAAAj4EiOV86K27F4HizzCoBZw6KE6MBSTw5LNP2tDLhjacsuXzmAGbDLBlZyyzwVsMTmXGJYvjm6FJVSEKQQACEIAABGoIEMv5uwMCxZ9hUAs4dVCcGAtIYNIvJtnEmycGtPgvU5MOn2QTRkxIZds1i5MlQ5OqIhSCAAQgAAEINCBALOfvFggUf4ZBLeDUQXFiLCCBI68+0uY+PDegxX+ZGrXrKJtzypxE21myOK4ZmsRKUAACEIAABCDQggCxnL97IFD8GQa1gFMHxYmxgASGzxhuCx9bGNDiv0wN23GYLehdkGg7axbHJUOTWAkKQAACEIAABBAoufoAAiVXvO7GESjuzLijGAJlyKBkrUPaDE0xJHkKBCAAAQhUmQCxnH/vIlD8GQa1gFMHxYmxgASyZi/SVCFthiNrFidthiZNXSkDAQhAAAIQaEWAWM7fPxAo/gyDWsCpg+LEWEACWdZ/pHm8yxoRMihpiFIGAhCAAATaSYBYzp8+AsWfYVALOHVQnBgLTMB1B600j3fZZStrFidthiZNfSkDAQhAAAIQIIOSrw8gUPLl62wdgeKMjBsKJOByBkmaaumckr6T+1Ifppgli+OSoUlTZ8pAAAIQgAAEECj5+gACJV++ztYRKM7IuKFgAhIp4/rG2cy7ZjY8tFGC4JQ3nGL9+vWzq+6+qmmZrCe9u2ZxXDI0BaPkcRCAAAQgUEECxHL+nYpA8WcY1AJOHRQnxnIksPzZ5Tbj1zNs3tJ5tvKFlTZos0E2cueR1rtv7/pT4dOUca2iSxbHNUPjWhfKQwACEIAABOoJEMv5+wQCxZ9hUAs4dVCcpTam4H364uk2/5H56wP8A151gK1du9bufOLOpkF/qRuVc+ViZjcvvdnu/f/tnQmYVcWVxw8IpBFaBRQEARFxiXEBRAWF0COC4K6Jy7jStCETTQLIaCKiiBFBs2i7jBpBYHBNYkLcaEAFNMgSQFBcEFEWlcUFSYMgIMx3yjTT+3t1q+579973q+/rL5FXdW7V75x+ff63tg1vyWdbPpPdsrvKU3UWJ+gMTchDwDwEIAABCCScALmcu4MRKO4MvVogqL3ijKQxnQEYVDJIJiyeUO3yp+o6nesJdypmdaSONNu7mZnF2avOXrJP3j7SrGGzKjM6kQwIOgUBCEAAAokiQC7n7k4EijtDrxYIaq84I2fMZnlSdZ3XJUtTLpsiDes3dB5bdTM4lZdoOT/EgwFXZrku7jy4ABMQgAAEIGBBgFzOAlYNVREo7gy9WiCoveKMnDHbDd7VDcB103eq2YioJfQ+mClHn+IucoFFhyAAAQhAIDIEyOXcXYFAcWfo1QJB7RVnpIwFOSK3ugG4HJtrMxsRhYTeF7Myjq7iLlIBRWcgAAEIQCCSBMjl3N2CQHFn6NUCQe0VZ6SMBb1ksLpBBL140HY2orqEPpNLw3wyU44u4i5SwURnIAABCEAgsgTI5dxdg0BxZ+jVAkHtFWekjPWZ1EemfzjdS596t+8t066YZmUryGxE+YQ+00vD9HmH3XeYfFL6idU4U1UOKu5S2eVzCEAAAhCAgBIgl3OPAwSKO0OvFghqrzgjZazbuG4y9+O5XvrUtXVXmVM0x8pW0NkITeiHdB0i/R7vZ45ETlV8LA2zWYqWqj+VPz+0yaHSvkl7jnG2BUd9CEAAAhBIiwC5XFqYaq2EQHFn6NUCQe0VZ6SMZXsGJejzdbam3X7t5JFFj6TN03Wvh+1StLQ7VkPFqB0M4Doe2kMAAhCAQPYIkMu5s0eguDP0aoGg9oozUsaCzmBUN4ggy5SCzuB0btlZ3lr/Vtp3tmh/XfZ6BFmK5svRPmZ/fPUFOxCAAAQgEE8C5HLufkOguDP0aoGg9oozUsZ8Jd5Bk/+gMyi6JGrFxhXWLIOIKH2ITyFn3WkRcZ39CfJM2kAAAhCAQHIIkMu5+xKB4s7QqwWC2ivOyBnzsXQpaAIdNPHv0KSDfLDxA2uWQTby60OCCinrDtbQIKgA9PV87EAAAhCAQLwJkMu5+w+B4s7QqwWC2ivOyBlz3fytS5BKLi+RvHp51mMLMoOjyfqxLY6VhWsXWj8vyEZ+fUjQpWjWHaylQdDZH599wBYEIAABCMSTALmcu98QKO4MvVogqL3ijKQxFSmDSwbL+MXj097X4WsTt+0Mjs7WfPTVR4GOR47rDIoGTdC+RzLg6BQEIAABCGSUALmcO24EijtDrxYIaq84I21MLzwc98Y4mbly5p4jb7u06mL6vODTBaEcg2szg9OycUt559p35IH5D8jwGcOtWQadhQi6FK1unbqya/cu635W1yDo7I+Xh2MEAhCAAARiTYBczt19CBR3hl4tENRecWKsGgJffv2lHP3g0bJ289qUfHRJ2fhzx8sR9x+R9myPGnXZxxF0KdqigYvk2fefrSD4Ptr4UUb3z1QGqiJ07KKx5v6Y0u2lkt8gXwraFUhRpyJp0bhFSv5UgAAEIACB+BEgl3P3GQLFnaFXCwS1V5wYq4ZAkGVeu2V3pO9BqenggKCzMUFnf8pw60zVoJJBMmHxhGqFna8lewQ4BCAAAQhEjwC5nLtPECjuDL1aIKi94sRYJQJBZyfe//n70v/v/dO+ST7oRv7yCb7NzfU1PS/oeNcMWRN4hsNmGR33rvArGmcCzBDG2Xv0PUwC5HLudBEo7gy9WiCoveLEWCUCLjMKQ7oOqXVzv+9ZgVSHCaT7vCAzRg+f/XDg2Mn08wJ3lIYQCEiAGcKA4GiWMwTI5dxdjUBxZ+jVAkHtFSfGKhEIesdI+VOtqtvcH+a+Ctfn2c5ouMz+ZGPGhiCHQCYJ2P4+TblsijSs3zCTXeRZEMg6AXI5dxcgUNwZerVAUHvFibFKBILeMRL3U618zcakCiiXGaphPYalMs/nEMg6gaAzhCwHy7rr6EAGCZDLucNGoLgz9GqBoPaKE2MhzKDEGarrbEyqsfuYoUr1DD6HQLYIBJkhrFennlxy9CXy9NtPc2BEthzHczNOgFzOHTkCxZ2hVwsEtVecGKtEIKw3/Lwd/Q50rs5Q8YuWGwSCfn+kQ4cDI9KhRJ24ECCXc/cUAsWdoVcLBLVXnBirRCDIG9Da7jRhs2xFwMyg8CuXZAJB4ztdJjUdF55ue+pBICoEyOXcPYFAcWfo1QJB7RUnxqohEHQNeWVTbJatCjfoG2bXe1cIdAhkgkDQGcJ0++ZywWu6z6AeBDJBgFzOnTICxZ2hVwsEtVecGKuGgK2wqOlUK19CJ0lO8j1DlSQ2jCX+BMKeQVFCiPX4xwkjECGXc48CBIo7Q68WCGqvODFWAwHXU61IxGsOLYQbv3ZJJRB0htCGR/kjzW3aURcCUSJALufuDQSKO0OvFghqrzgxloJA0FOtgiYqufB21NcMFcELgagRCPJiwnYMcT/S3Ha81E8mAXI5d78iUNwZerVAUHvFibEQCKioOeXRU2TFxhXW1nPl7ajrDJU1WBpAIEMEbGcIbbuVK98RtlyoHy8C5HLu/kKguDP0aoGg9ooTYx4JpDqxK51H5drb0aAzVOmwpA4EskHAZoYwSP9u7H6j3NHrjiBNaQOByBAgl3N3BQLFnaFXCwS1V5wY80TAV1LC21FPDsEMBLJIIJ0Zwot/cHGNlzPW1nW92HFApwFS3K9Y8urlZXGUPBoCwQmQywVnV9YSgeLO0KsFgtorTox5IuBrWUcu7EHxhBwzEIg8gVQzhC7fG1zcGHn308FaCJDLuYcHAsWdoVcLBLVXnBjzQMDXxthM3HHAjfYeHI4JCHgi4DrzysWNnhyBmYwTIJdzR45AcWfo1QJB7RUnxjwQCHpiV+VHh5lspNofo+KosGMhy0Y8xAMmIGBDINVysNpsZeKlhs1YqAuBdAmQy6VLquZ6CBR3hl4tENRecXozlstv5n1czqbLNWq68NHVSTZvaVk24kqb9hAIRuDGl26UMbPHWDdmWag1MhpEgAC5nLsTECjuDL1aIKi94nQ2xpt5kW7jusncj+cGYpmJmQvbde5hzuQEgkQjCHgmEMUXKkFfdHCwhufgwFxGCJDLuWNGoLgz9GqBoPaK08lYkt7MuyQsQROLDk06yD8G/ENaNG7h5IfaGgfZH8OykdDcgeEsE4jyC5WgLzpy7WjyLIcQj/dEgFzOHSQCxZ2hVwsEtVecTsaS8GbeR8ISdA9KJpZmRLlvTsFHYwhYEoj6C5WgLzqYQbEMBKpHggC5nLsbECjuDL1aIKi94gxsLAlv5n0lLFFmQdITOMRpmDACUXihUttM7dhFY2X4jOHW1DPxosO6UzSAQAoC5HLuIYJAcWfo1QJB7RVnYGNJeDPvM2HxaSuwU6ppyLIRnzSxFVcC2X6JkM5MbZCLG1mOGdeIpN/kcu4xgEBxZ+jVAkHtFWdgY3F/M+87YbGdjQnrxK7KDo27nwIHKA0hUI5ANl+o2Hw3tGzcUtZuXpu27zjQIm1UVIwYAXI5d4cgUNwZerVAUHvFGdhY3N/Mh5GwpLrPIBMndlV2aBjjDBw0NIRAlghkU6jbzq6mK1LCPJo8S27isTlEgFzO3dkIFHeGXi0Q1F5xBjaWzT/4gTtdrmGY/dd15uPeGCczV86U0u2lkt8gXwraFUhRp6JAJ3a5nDDme6bIB3tsQCDTBLL1QiXI71+9OvXkP4/5T3lq6VOyY9eOKqiy8aIj0/7iecknQC7n7mMEijtDrxYIaq84AxuL+5v5bCUsNsDTWbeezu3vtm9wWTZi4yXqxoFAmC8kahu/y/ekvtDw+aIjDn6ij7lDgFzO3dcIFHeGXi0Q1F5xBjYW5M1glDZ0ZithSRe4zbr1VLe/29rK1P6YdFlQDwKuBFyEwrAewwI/PurfM4EHRkMIOBIgl3MEKCIIFHeGXi0Q1F5xOhmL85v5bCUs6QL3zTaK+2PSZUE9CLgSyNYLlTjM1LqypT0EghAglwtCrWIbBIo7Q68WCGqvOJ2MxfnNfLYSlnSA++hbTftWzjn8HHn2/We97Y9JZzzUgUAUCPgW/emMiRmUdChRJxcJkMu5ex2B4s7QqwWC2itOZ2NxfjOfjYQlHeAusztDug6RQSWDZMLiCWywTQc2dXKGQDZeqLj8LrssLcsZpzLQ2BIgl3N3HQLFnaFXCwS1V5zejPk+uSrdjrmccJWNhCWdcQV969rrkF6yc9dOmbVqVsrHpNq3ktJACBVcfBlCdzCZQAKZfqHiYzY0gW5gSBAQcjn3IECguDP0aoGg9ooztsZ8nXCV6YQlHeBB1603b9RcNmzZkM4jTJ2onNbly5dpD5yKOU8gky9UojpTm/NBAICsEiCXc8ePQHFn6NUCQe0VZyyN2c58TLlsijSs37DWsWYyYUkFPegMSh2pI7tldyrzez6PwqnZjTBHAAAgAElEQVRqYfgybQBUhEAGCNjGOKfoZcApPCLrBMjl3F2AQHFn6NUCQe0VZyyNJf2NZNB160GcOerUUZLNte5J92UQn9AmeQSiOFObPMqMKE4EyOXcvYVAcWfo1QJB7RVn7IzlwpruIGO0nT0pc3zv9r1l2hXTshIHQcYZhVmfrMDioYkgEKWZ2iBA2ScWhBptqiNALuceFwgUd4ZeLRDUXnHGzljQ2YVszxTYgradWbDdf1LWn66tu8qcojm23fNSP1d86QUWRiCQRQLsE8si/IQ+mlzO3bEIFHeGXi0Q1F5xxs5Y0P0Z2ZwpCALZdt36XnX2kldWvmL9qGxyyRVfWjuFBrEkkNTZBdvvonT2/MXSwXTaKwFyOXecCBR3hl4tENReccbOWNATrrI5UxAUss269d+//nsZPmO49aOyObOUS760dgwNYkMg6bMLtrO5UTkdMDYBlKMdJZdzdzwCxZ2hVwsEtVecsTOWi2/d01m3Hsf9HLnoy9j9wtHhWgkkfXYhjt8rhGw8CJDLufsJgeLO0KsFgtorztgZY99CzS6L25tOfBm7Xz86XIlA3H7nbB0Y9Hd0ZMFIuaXnLbaPo34OESCXc3c2AsWdoVcLBLVXnLEzFsU3elFZe277Njfb9y1E0Zex+4Wgw1kjkLT4re577KONH8kHGz+wZtwkr4l8ct0nKe+fsjZMg8QQIJdzdyUCxZ2hVwsEtVecsTQWlbeWUVx7brNvJa9eXtb9HxVfZh0EHYgdgaCzC9nc91Ud5FTfY0Edw16UoORyox25nLufESjuDL1aIKi94syoMV8zDVGYKbDtQ6ZPtkln30pGnV/Dw2w5ZnvWJwrM6EM0CCRhD5XN758tde4ssiWWW/XJ5dz9jUBxZ+jVAkHtFWdGjKV6Q6d/yAo7Fkpxv2JJ961+tmcKePPvL3Sy7Ut/I8FSLhFIwil0tt9jtv6N2myRbf+pHx4Bcjl3tggUd4ZeLRDUXnGGbszmDV3Pg3uK7UxDNmYKkrb2PPQgSPMB2fBlml2jGgSqEIj7DEqQ7zHbMMjmPUu2faV+ZgmQy7nzRqC4M/RqgaD2ijN0Y7Zv6OKwbjkpa89Ddz4PgECCCcT9eyBo/21cGsf7p2zGR93gBMjlgrMra4lAcWfo1QJB7RVnqMaCvKGLw7rluL85DdXpGIdAjhCI+/db0O8xG/dGeQbF155IGx7U/X8C5HLu0YBAcWfo1QJB7RVnqMaCvqGL+rrlJKw9D9XxGIdAjhCI8wxx0O8xG9dG8bs8jD2RNkyo+x0Bcjn3SECguDP0aoGg9oozVGNB39BF+a2bAkvquEINBoxDIIEEbPfYRekUuqDfY+m6MYqz4bb+st0TmS4b6iFQfMQAAsUHRY82ECgeYYZsKugbuqivW07qzFDI4YB5CCSSQFxPoQv6PZauE6O4nzDOM17pco9LPXI5d08hUNwZerVAUHvFGaqxoG/oXGZQfK8rrs7e8S2Pl9/P+b3s2LUjbX5RfJuYduepCAEIpCQQt1PoguyhqSN1ZLfsTslCT2SM0myRdjjIePneTunqwBXI5QKj29MQgeLO0KsFgtorzlCNBX1Dd2vPW2VEwQirvvleV5zKnlXnRCSKbxNtx0B9CEAgGgR8vYixnVEY0HGA1KtbT8YvHl/tC5ogd1plimjQv0dR3EeTKWZhPodczp0uAsWdoVcLBLVXnKEaC/LGSjt0+TGXy6QLJqXdN9/rim3spdPJKL5NTKff1IEABKJFINWLE1uBYPNdV/57LG6zRerFbMzoRyt6otUbcjl3fyBQ3Bl6tUBQe8UZurHL/3q5PP7W41bPsZ1Wt30LmGo2w9ZeTYOzTRasIFEZAhDIKQK2YiLdDd5x3UNj6/yk7om05RCV+uRy7p5AoLgz9GqBoPaKM3Rjt864VUa+OtL6OelOqweZpalNAAWxV93gTmh1gjz3n89Ji8YtrMdOAwhAAAKVCdi+OEn1Iqay/WzMivhaqpZOtDCDkg6lzNUhl3NnjUBxZ+jVAkHtFWfoxsL+o+B7XXFQe5VB2s4Che4IHgABCMSWQJAXJ1H+DvK9VC0dxwb9bk/3ZVk6faDO/xMgl3OPBgSKO0OvFghqrzhDNxb2tLpvARTUXnUg+cMWenjxAAjkBIEkJddhLVVLFQhJE3mpxhv1z8nl3D2EQHFn6NUCQe0VZ+jGgib86R417FsABbVXHch0xxC6E3gABCAQawJhf49mEk7YS9VqG0s2n51JxnF4Frmcu5cQKO4MvVogqL3iDN1Y2G/+fP/hDmqvOpBhXziZyfXboQcKD4AABGokEPTFSdjfQbYuy/Yshu3sTdTucrHlHeX65HLu3kGguDP0aoGg9oozdGNh/0HyLYCC2svkDEo21m+HHig8AAIQqJFA0BcnUZvFDfr96nO5bK6cWhb1XydyOXcPIVDcGXq1QFB7xZkRY2FOq/sWQEHs1QTR5x/VsmfYvgFM96jRjAQCD4EABAIRiEJiH6jjlRpFSWhl49QyHwyTYoNczt2TCBR3hl4tENRecWbEmG1SbTut7lsA2dqrDmJYJ+jY9s32qNGMBAQPgQAErAgEeXES1neQVccrVU7KUjUXBrT9jgC5nHskIFDcGXq1QFB7xZkxY2FOq/sWQDb2agIYhjBISpKSsaDjQRBIEIEkvJyI0gxKgkIjlkMhl3N3W04IlG3btsno0aPlySeflNWrV0vTpk2lb9++ctttt0nr1q3TovjVV1/Jiy++KM8//7wsXrxYVq1aJXXr1pWjjjpKLr30Urnmmmukfv36admqrRJB7YwwqwbCmlb3LYBS2asNYs+De4rtLFA6TknKMo90xkodCECgIgGbFydhfQe5+oTvMFeCyWlPLufuy8QLFBUnvXr1ktdff11atmwpPXr0kJUrV8r8+fPlgAMOkDlz5sihhx6akuTw4cNl1KhRRpR06tRJOnToIJ999pnMnj1bvvnmG+nevbtMnTpV9t5775S2EChOiHK6sW8BVN7epm82ySf/+kR0JuPb3d9W4axLKgo7Fkpxv2LJq5fn3Q+8ffSOFIMQiBWBVC9Owv4OcoXFLLArweS0R6C4+zLxAuWWW26R3/zmN9KtWzeZNm2aNG7c2FD7wx/+IEOHDpUf/vCHMmvWrJQkx4wZI6WlpWam5KCDDtpTf/ny5XLaaaeZmZkbb7xR7rjjjpS2EChOiGgcMgHfIijd7rJ+O11S1INAsglk6zvIB9UkLFXzwSHXbSBQ3CMg0QJlx44d0rx5c9HlWYsWLTIzH+XLcccdJ2+++aYsWLBAjj/++MA0demYLvNq166dfPTRR4HtaEOC2gkfjWNMIOgMStOGTWVot6FS1KlIWjRuEWMCdB0CEIg7gSQsVYu7D6LQf3I5dy8kWqDMmDFDTj31VLOE64MPPqhCS2dWdIZlxIgRcuuttwam+c477xhh0aBBA7Pcy6UQ1C70aBtnAkHXb5eNOerLP+LsG/oOAQikTyDuS9XSHyk1ayJALuceG4kWKPfcc48MGTJELrzwQvnTn/5UhdYLL7wgZ511lpx33nnyt7/9LTBN3Th/9tlnS9u2bc3meZdCULvQo22cCQRZv13deHUDLfejxDkS6DsEkkEgzkvVkuGB7I2CXM6dfaIFynXXXSd33323ESm656RyWbJkiXTs2FE6d+4sCxcuDEyzd+/e8tJLL8kvfvELuffeewPb0YYEtRM+GkeMgP6BHrtorMxaNUtKt5dKfoN8KWhXUONyLNv12zUNN4xjkCOGlu5AAAIQgEBECZDLuTsm0QJl4MCB8sgjj8hNN90kt99+exVauuzrsMMOk8MPP1yWLVsWiOZDDz0kP/vZz2S//faTt99+W1q1apWWnbLgrVx5xYoVZkma2qJAIK4EdInDoJJBMmHxBNmxa0eVYdS0HMtm/XZtbKJ4iVtcfUm/IQABCEDAjgACxY5XdbUTLVB+8pOfyNixY0WPCNb9JpWLnsCl4iSoQNHTv/r06SO6Gf+ZZ56R888/P22PIFDSRkXFmBGwERnVLcdKtX47XRyjTh0lw3oMS7c69SAAAQhAAAJeCCBQ3DEmWqCEucRLT//q2bOnOSFMl3Xp8i4fhaD2QREb2SRgu0yrpuVYZeu3fz/n9/Ll1i+th9S7fW+ZdsU063Y0gAAEIAABCLgQIJdzofdd20QLlLA2yesyLL2Ycd26deb0Lz0FzFchqH2RxE42CATZ6J5qOVYm70ex3TOTDcY8EwIQgAAEok2AXM7dP4kWKOkeM6xHDY8cOTItmp9++qkRJ3rfyaBBg0RFkM9CUPukia1MEwh6VHBty7GC3o9iM4MSdM9MpvnyPAhAAAIQiD4Bcjl3HyVaoGzfvt1c1Lhp06ZaL2qcP3++nHDCCSlpbty40dw8v3TpUiksLJRx48ZJnTp1UrazqUBQ29CibtQIhCEmwhA95bm57pmJmg/oDwQgAAEIZJcAuZw7/0QLFMWjG+RHjRolJ598skybNk0aNWpkqOmxw0OHDjWzIa+99toekvfff7/oj254Hz169J5///rrr6VXr14yd+5cueiii+SJJ56Qvfbay90DlSwQ1N6RYjCDBMJYjhXGsrHySHztmckgZh4FAQhAAAIRJkAu5+6cxAuUbdu2SUFBgcybN09atmwpPXr0MJcp6n83a9bMCI4OHTrsIal7SnS511VXXSUTJkzY8+96l4ou51JRcvHFF0v9+vWrpV++TRD3ENRBqNEmKgTCmEHRsYUlIsIWP1HxC/2AAAQgAIHMESCXc2edeIGiiLZu3WpmQ3TWY82aNdKkSRPp27evOXq4TZs2FSjWJFD69+8vEydOTEl89+7dKevUVoGgdsJH4ywTCGs5lu0yrJLLSySvXl5KGmH1N+WDqQABCEAAAoklQC7n7tqcECjumDJngaDOHGue5J9AmDMSqe5Hqenyx9pGGdaMj3+yWIQABCAAgbgQIJdz9xQCxZ2hVwsEtVecGMsCgbCWY5UNpex+lJkrZ0rp9lLJb5AvBe0KpKhTkbRo3MJqxGHsmbHqAJUhAAEIQCBxBMjl3F2KQHFn6NUCQe0VJ8ayQCCs5VhhDIUZlDCoYrM8Ae7WIR4gkHsEyOXcfY5AcWfo1QJB7RUnxrJEIIzlWGEMhT0oYVDFphLgbh3iAAK5S4Bczt33CBR3hl4tENRecWIsywR8LscKYyhh7pkJo7/YjAcB21nEKZdNkYb1G8ZjcPQSAhBISYBcLiWilBUQKCkRZbYCQZ1Z3jwNAmHvmYFw7hEgpnLP54wYAuUJkMu5xwMCxZ2hVwsEtVecGINASgK2b7vTPcI45YOpkEgCzMol0q0MCgJWBMjlrHBVWxmB4s7QqwWC2itOjEEgLQJx2TOT1mColFUC7GvKKn4eDoFIECCXc3cDAsWdoVcLBLVXnBiDgBWBqO+ZsRoMlbNCgJPhsoKdh0IgUgTI5dzdgUBxZ+jVAkHtFSfGIAABCGSUAHfrZBQ3D4NAJAmQy7m7BYHiztCrBYLaK06MQQACEMgoAWZQMoqbh0EgkgTI5dzdgkBxZ+jVAkHtFSfGIAABCGSUAHtQMoqbh0EgkgTI5dzdgkBxZ+jVAkHtFSfGIAABCGSUAKd4ZRQ3D4NAJAmQy7m7BYHiztCrBYLaK06MQQACEMg4Ae5ByThyHgiBSBEgl3N3BwLFnaFXCwS1V5wYgwAEIJBxAtytk3HkPBACkSJALufuDgSKO0OvFghqrzgxBgEIQCArBLhbJyvYeSgEIkGAXM7dDQgUd4ZeLRDUXnFiDAIQgEBWCXC3Tlbx83AIZIUAuZw7dgSKO0OvFghqrzgxBgEIQAACEIAABDJKgFzOHTcCxZ2hVwsEtVecGIMABCAAAQhAAAIZJUAu544bgeLO0KsFgtorToxBAAIQgAAEIACBjBIgl3PHjUBxZ+jVAkHtFSfGIAABCEAAAhCAQEYJkMu540aguDP0aoGg9oozNGO68XXsorEya9UsKd1eKvkN8qWgXYEUdSqSFo1bhPZcDEMAAhCAAAQgEG0C5HLu/kGguDP0aoGg9orTuzE9OnRQySCZsHiC7Ni1o4r9+nXrS2HHQinuVyx59fK8Px+DEIAABCAAAQhEmwC5nLt/ECjuDL1aIKi94vRqzPbytSmXTZGG9Rt67QPGIAABCEAAAhCINgFyOXf/IFDcGXq1QFB7xenV2MDnBsojix5J2+bAzgPl4bMfTrs+FSEAAQhAAAIQiD8Bcjl3HyJQ3Bl6tUBQe8Xpzdi6zeuk7d1tq13WVdNDdLnXmiFr2JPizQsYggAEIAABCESfALmcu48QKO4MvVogqL3i9GZs1KujZPiM4db2Rp06Sob1GGbdjgYQgAAEIAABCMSTALmcu98QKO4MvVogqL3i9Gasz6Q+Mv3D6db2erfvLdOumGbdjgYQgAAEIAABCMSTALmcu98QKO4MvVogqL3i9Gas27huMvfjudb2urbuKnOK5li3owEEIAABCEAAAvEkQC7n7jcEijtDrxYIaq84vRljBsUbSgxBAAIQgAAEEk2AXM7dvQgUd4ZeLRDUXnF6M8YeFG8oMQQBCEAAAhBINAFyOXf3IlDcGXq1QFB7xenNGKd4eUOJIQhAAAIQgECiCZDLubsXgeLO0KsFgtorTq/GuAfFK06MQQACEMgKgd27d4v+UCCQikCdOnVEf2wLuZwtsar1ESjuDL1aIKi94vRqzPYm+ZLLSySvXp7XPmAMAhCAAATsCXz77bfyxRdfSGlpqWzfvt3eAC1ylkCDBg0kPz9fmjVrJnvttVdaHMjl0sJUayUEijtDrxYIaq84vRtTkTK4ZLCMXzy+2ksb9XLGwo6FUtyvGHHinT4GIQABCNgTUHGyevVq2bZtm31jWkDg3wTy8vKkbdu2aYkUcjn3sEGguDP0aoGg9oozNGPrN6+XcW+Mk5krZ0rp9lLJb5AvBe0KpKhTUaRvjtd+j100VmatmhWrfofmSAxDAAKJJ7BhwwYze6Jvv1u0aCGNGjWSunXrJn7cDNCdwK5du2TLli2yfv16UaGrsyjNmzdPaZhcLiWilBUQKCkRZbYCQZ1Z3rnyNJ35GVQySCYsnsDMT644nXFCAAKGwIoVK8yyrlatWsm+++4LFQhYE9i0aZN8+umnosu9Dj300JTtyeVSIkpZAYGSElFmKxDUmeWdC0+z3Tsz5bIp0rB+w1xAwxghAIGEE9DN8O+9954Z5WGHHSb16tVL+IgZXhgEdu7cKcuXLzemjzzyyJQb58nl3L2AQHFn6NUCQe0VJ8ZEhNPHCAMIQCBXCegSnWXLlpnhH3HEESztytVAcBy3bRyRyzkCFxEEijtDrxYIaq84c94Y97fkfAgAAAI5TcA2scxpWAy+RgK2cUQu5x5MCBR3hl4tENRecea8sVGvjpLhM4Zbcxh16igZ1mOYdTsaQAACEIgSAdvEMkp9py/RIWAbR+Ry7r5DoLgz9GqBoPaKM+eN9ZnUR6Z/ON2aQ+/2vWXaFdOs29EAAhCAQJQI2CaWUeo7fYkOAds4Ipdz9x0CxZ2hVwsEtVecOW+s27huMvfjudYcurbuKnOK5li3owEEIACBKBGwTSyj1Peo9KV///4yceJEmTFjhhQUFESlW2n14/PPP5fJkyfL/Pnzzc/SpUvNccFPPvmkXHLJJWnZ0Eq2cUQulzbaGisiUNwZerVAUHvFmfPGmEHJ+RAAAARymoBtYpnTsGoYfJwFioqT888/v8rIECjRj3QESsR8hECJmENi3h32oMTcgXQfAhBwIoBAccJnGsdZoMyZM0cee+wxOeGEE8zPnXfeKZMmTWIGxT0sQreAQAkdsd0DECh2vKhdOwFO8SJCIACBXCaAQHH3fpwFSuXRl42FGRT3uAjbAgIlbMKW9hEolsConpIA96CkREQFCEAgoQQyLVDWrxcZO1Zk1iyR0lKR/HwR3bZRVCTSokW0IK9evVruuusumTp1qqxZs0YaNWpkbkk/77zzZMiQIdKw4XcX9tYkUBYvXixPPPGEvPzyy6K2/vWvf8lBBx0kffv2leHDh0urVq2qDPjdd9+VO+64Q15//XX55JNPJD8/37TRvS2/+tWvpGXLlnvazJs3T8aMGSOLFi2SdevWSZMmTaRt27bSq1cvuemmm6Rx48bWQBEo1siy1gCBkjX01T8YgRIxhySgO7Y3yZdcXiJ59fISMHKGAAEI5DqBTAmUrVtFBg0SmTBBZMeOqtTr1xcpLBQpLhbJi8DX66uvvirnnHOObNq0Sdq3by9dunSRLVu2yDvvvCMfffSR+WnXrl2tAkU3mf/lL3+Ro48+2tStU6eOqGhZuXKlERoLFiyoIFJUaHTv3l22bdsmJ554ohxyyCFSWloqH374oahwKb8J/4UXXjD9U5unnHKKsbNx40Z5//33q/TPJsYRKDa0slsXgZJd/lWejkCJmEMS0h0VKYNLBsv4xeNlx66qfz3r160vhR0LpbhfcaTEyfrN62XsorEya9UsKd1eKvkN8qWgXYEUdSqSFo0j9joyIbHCMCCQJAKZECgqTvr1+27WJFXp2VNkyhSRf09OpKoeyuea6B9xxBHy2Wefyd133y2DBg0yQqCsqHg57rjjZN99961VoLzyyivy/e9/v8Ksh/K+/fbbZcSIEVJYWCiPPvroHrtl4uCZZ56RCy64oMLYVKDst99+e2zpjIr245///Kccf/zxFerqaVz6XJ19sS0IFFti2auPQMke+2qfjECJmEMS1h1N+Me9MU5mrpwZ6YRfBdWgkkEyYfGEWAmqhIULw4FA7AlkQqAMHCjyyCPpo9L6Dz+cfn3fNXVZly6nOuuss+S5555LaT7IHpTWrVvL1q1b5Ysvvthj/4wzzpApU6aYmRAVI7WVo446StauXWvq+iwIFJ80w7WFQAmXr7V1BIo1MhokjIDtkrQpl02RhvW/WytNgQAEIFCeQNgCZd06kbZtq1/WVZMndLnXmjXZ25PSp08fmT59uhEnKlJSldoEigqQZ5991twv8tVXX5k7RrSoENmwYYMRKE2bNjX/dvPNN5vZlbPPPtvsUdFlZXXr1q328VdccYU5fWvAgAFmP4wuI/NRECg+KGbGBgIlM5zTfgoCJW1UVEwoATb1J9SxDAsCWSAQtkAZNUpk+HD7gWm7YcPs2/loocuj3nvvPbPfRP9/qlKTQNGTsAYOHCibN2+u0YTuRzn44IPN57qJ/txzz5WZM2ea/9YlZCeddJIRSfqM8ku2dNO+CpklS5aYuvvvv7+cfPLJZgP/pZdeKt/73vdSdbvazxEogbBlpRECJSvYa34oAiViDqE7GSXAscgZxc3DIJB4AmELlD59RKZPt8fYu7fItGn27Xy0KBMouu/jyCOPTGmyOoGyatUqOfzww2X37t3y29/+Vs4880xzGlfZyV8qJvQOkvKb7fVBWn/27Nlm9kaFysKFC82si26qf+2118wpYmVl586dovtcnn/+eZk1a5a89dZbpr32WU8B01O9bAsCxZZY9uojULLHvtonI1Ai5hC6k1ECXCyZUdw8DAKJJxC2QOnWTWTuXHuMXbuKzJlj385HCx9LvB588EG55pprZOjQofK73/2uSrcOPPBAWb9+fRWBUrmibtTXTfo6G3PRRRfJ008/XeMQ9Shj3XivouWGG24wly7aFgSKLbHs1UegZI89AiVi7OlO9gn0mdRHpn9o/zqyd/veMu2KLL2OzD42egABCNRAIGyBEscZlLJN8rqESvePpCrVzaDoXSZ6F8k999xjBEb5oqdv9dTjykRSChSto0cH66liOrOjy85qK9OmTZPTTz9d+vXrJy+++GKqrlf5HIFijSxrDRAoWUNf/YOZQYmYQ+hORgl0G9dN5n5s/zqya+uuMqcoS68jM0qIh0EAAjYEwhYocdyD8uWXXxpB8Pnnn8t9990n1157bYVjhnWp1bHHHlvrMcN6/8mFF15oNrrrUi295FGLXr7Yu3dvc69JZYHy0EMPGXGh95+UL8XFxTJ48GDzWUlJiflIjz/WvSYtKt1ued1115nPfvrTn4rasy0IFFti2auPQMke+2qfjECJmEPoTkYJMIOSUdw8DAKJJxC2QInjKV7qdL0UUTes60WJuu9D7xr5+uuv5e23307rosbt27dL586dTX1dzqWXKeoFjGq3Y8eOJq50n0j5PSj677rpXY8Q1tmSevXqybJly8zljrp3RW+k76Zr5kTMMcTaN72P5bDDDjN7T958801TXzfMz507t8J+ldoCuauup/t3WbFihRFmHTp0kGbNmpl/1XH8z//8T62/C7ZxRC7n/tWCQHFn6NUCQe0VJ8ZiRoA9KDFzGN2FQMQJ2CaWQYYTt3tQysaoN7jrPo6pU6eaO0f22Wcfk/TrSVk6o5H37yvvazrFS+8o0WVeeqSwttdN8jqrcsstt4jeeaIb28sLFN0YP3nyZJk3b56ZaVGRo/el6KWM119/vRENZWXSpElmNkU30X/66afmn9u0aWPs6iyKbqpPt5S/hLK6NrocrexksZps2sYRuVy63qm5HgLFnaFXCwS1V5wYixkBTvGKmcPoLgQiTsA2sQwyHNub5HUV079z/yCPo00WCNjGEbmcu5MQKO4MvVogqL3ixFgMCXAPSgydRpchEFECtoll0GGoSBk8WGT8+OovbdTLGQsLRYqLESdBGWeznW0ckcu5ewuB4s7QqwWC2itOjMWQgO1N8iWXl0hevbwYjpQuQwACYROwTSxd+7N+vci4cSJ6F2FpqUh+vkhBgUhRUfZujncdE+1FbOOIXM49ahAo7gy9WiCoveLEWEwJqEgZXDJYxi8eLzt27agyivp160thx0Ip7leMOImpj+k2BDJBwDaxzESfeEb8CNjGEbmcu48RKO4MvVogqL3ixFjMCazfvF7GvTFOZq6cKaXbSyW/Qb4UtCuQogoOqFAAACAASURBVE5F0qJxi5iPju5DAAJhE7BNLMPuD/bjScA2jsjl3P2MQHFn6NUCQe0VJ8YgAAEIQCCHCdgmljmMiqHXQsA2jsjl3MMJgeLO0KsFgtorToxBAAIQgEAOE7BNLHMYFUNHoEQqBhAokXKHCAIlYg6hOxCAAAQgEFsCCJTYui5SHbeNI3I5d/chUNwZerVAUHvFiTEIQAACEMhhAraJZQ6jYujMoEQqBhAokXIHMygRcwfdgQAEIACBGBNAoMTYeRHqum0c8bLZ3XkIFHeGXi0Q1F5xYgwCEIAABHKYgG1imcOoGDozKJGKAQRKpNzBDErE3EF3IAABCEAgxgQQKDF2XoS6bhtHvGx2dx4CxZ2hVwsEtVecGIMABCAAgRwmYJtY5jAqhs4MSqRiAIESKXcwgxIxd9AdCEAAAhCIMQEESoydF6Gu28YRL5vdnYdAcWfo1QJB7RUnxiAAAQhAIIcJ2CaWOYyKoTODEqkYQKBEyh3MoETMHXQHAhCAAARiTACB4u68/v37y8SJE2XGjBlSUFDgbjCDFhYuXCjPPfecvPzyy7JixQr54osvpHnz5tKzZ0+54YYb5Nhjj02rN7ZxxMvmtLDWWgmB4s7QqwWC2itOjEEAAhCAQA4TsE0scxhVjUOPq0DZuXOn1K9f34xr//33lxNPPFH23ntveeONN4xY0c+eeOIJ+fGPf5zS7bZxRC6XEmnKCgiUlIgyW4GgzixvngYBCEAAAsklYJtYJpdE8JHFWaB0795dbr75ZunXr5/UrVvXQNCYuOWWW2TUqFGSn58vH374oREwtRXbOCKXCx5vZS0RKO4MvVogqL3ixBgEIAABCOQwAdvE0hXV+s3rZeyisTJr1Swp3V4q+Q3ypaBdgRR1KpIWjVu4ms9K+7gKlNpg7d69W4466ih57733ZMKECXLVVVchULISXTU/FIESMYcgUCLmELoDAQhAAAKxJZApgbJ1x1YZVDJIJiyeIDt27ajCq37d+lLYsVCK+xVLXr28SPBcvXq13HXXXTJ16lRZs2aNNGrUSA499FA577zzZMiQIdKwYUPTz5oEyuLFi80SKd3fobb+9a9/yUEHHSR9+/aV4cOHS6tWraqM891335U77rhDXn/9dfnkk0/MDIa20b0tv/rVr6Rly5Z72sybN0/GjBkjixYtknXr1kmTJk2kbdu20qtXL7npppukcePGThwvuugi+fOf/2z6c+ONNyJQnGj6b4xA8c/UySICxQkfjSEAAQhAAAJ7CGRCoKg46fd4PzNrkqr0PLinTLlsijSs/13yn63y6quvyjnnnCObNm2S9u3bS5cuXWTLli3yzjvvyEcffWR+2rVrV6tAueSSS+Qvf/mLHH300aZunTp1REXLypUrjdBYsGBBBZGiQkOXXG3bts3sBznkkEOktLTULLFS4VJ+E/4LL7xg+qc2TznlFGNn48aN8v7771fpX1CGOmbdRP/oo49KYWEhAiUoyJDaIVBCAhvULAIlKDnaQQACEIAABCoSyIRAGfjcQHlk0SNpox/YeaA8fPbDadf3XVET/SOOOEI+++wzufvuu2XQoEFGCJQVFS/HHXec7LvvvrUKlFdeeUW+//3vV5j1UN633367jBgxwiT9mvyXlbKZmGeeeUYuuOCCCsNSgbLffvvtsaUzKtqPf/7zn3L88cdXqDt//nzzXJ19CVr+8Y9/SI8ePaRBgwZ7BFVttmzjiFwuqGf+vx0CxZ2hVwsEtVeciTOWxPXNiXMSA4IABCJDwDaxtO34us3rpO3dbatd1lWTLV3utWbImqztSdFlXbqc6qyzzjJH8KYqQfagtG7dWrZu3WqO9S0rZ5xxhkyZMsXMhKgYqa3o/pC1a9eaur6LLkXT2ZPly5cbDrqMLFWxjSNyuVREU3+OQEnNKKM1COqM4o7Nw+K4vjk2cOkoBCCQWAK2iaUtiFGvjpLhM4bbNpNRp46SYT2GWbfz0aBPnz4yffp0I05UpKQqtQkUFSDPPvusLF26VL766iv59ttvjTkVIhs2bDACpWnTpubf9DQtnV05++yzzR4VFQllJ2tV7sMVV1whjz32mAwYMMDsh9FlZD6K9u/cc88VXUKmy8xee+01M4uSqtjGEblcKqKpP0egpGaU0RoEdUZxx+JhcVzfHAuwdBICEEg8AdvE0hZIn0l9ZPqH022bSe/2vWXaFdOs2/looMuj9PQq3W+i/z9VqUmgPPnkkzJw4EDZvHlzjSZ0P8rBBx9sPteZCxUHM2fONP+tS8hOOukkI5L0GeWXbOmmfRUyS5YsMXX1GOCTTz7ZbOC/9NJL5Xvf+16qblf7eVFRkVl2pkvcdJlXquOFy4zYxhG5XCD3VGiEQHFn6NUCQe0VZyKMxW19cyKgMwgIQCARBGwTS9tBdxvXTeZ+PNe2mXRt3VXmFM2xbuejQZlA0X0fRx55ZEqT1QmUVatWyeGHHy56XO9vf/tbOfPMM81pXGUnf6mYmDNnToXN9vogrT979mwze6NCRTep66yGbqrX2Qw9Rays6EWLus/l+eefl1mzZslbb71l2muf9RQwPdXLplx//fXyu9/9Ttq0aWP6oP+bbrGNI3K5dMnWXA+B4s7QqwWC2ivO2BuL4/rm2ENnABCAQGII2CaWtgOP4wyKjyVeDz74oFxzzTUydOhQk/RXLgceeKCsX7++ikCpXE836usmfZ2N0WN/n3766RpdoEcZ68Z7FS033HCD3HnnnWm7a/To0TJs2DBp3ry52XyvMyg2xTaOyOVs6FZfF4HiztCrBYLaK87YG4vj+ubYQ2cAEIBAYgjYJpa2A4/jd3TZJnldQqX7R1KV6mZQ9O4QvYvknnvuMQKjfFEB0LNnT/NP5Y8rruk5enSwCgad2dFlZ7WVadOmyemnn25uhn/xxRdTdd18/sc//lF++tOfmo35epRxx44d02pXvpJtHJHLWSOu0gCB4s7QqwWC2ivO2BuL49u52ENnABCAQGII2CaWtgOP4yz3l19+aQTB559/Lvfdd59ce+21FY4Z1qVWxx57bK3HDOv9JxdeeKHZ6K5LtfSSRy16+WLv3r3NvSaVBcpDDz1kxIXef1K+FBcXy+DBg81nJSUl5iM9/lj3mrRo0aJC3euuu858poJD7aUq2s+LL75Y9t57b1Fx061bt1RNqv3cNo7I5QJhrtAIgeLO0KsFgtorztgbi+P65thDZwAQgEBiCNgmlkEGHsd9gjqToBvW9aJE3fehd418/fXX8vbbb6d1UeP27dulc+fOpr4u59LLFPUCxvIzFLpPpPwMis5c6KZ3PUJYZ0vq1asny5YtM5c76t4VvZG+TEDobIf2Te9jOeyww8zekzfffNPU143tc+fOrbBfpTq/6Slius9E+3rMMceY/lZXdOO9/tRWbOOIXC7Ib1LFNggUd4ZeLRDUXnHG3hgzKLF3IQOAAASySMA2sQzSVduTFksuL5G8enlBHuW1jd7grvs4pk6dau4c2WeffUzSr8m6zmjk5X3Xx5pO8dI7SnSZlx4prO11k7zOqtxyyy2id57oxvbyAkU3xk+ePFnmzZtnZlpUOOh9KXopo25g79Chw57xTZo0ycym6Cb6Tz/91Py7ig21q7Mouqk+VdETxCrP1lTXRi+VvPXWWxEoqYBm+HMESoaBp3ocAiUVodz6PI7rm3PLQ4wWAhCIMoFMCBQdv4qUwSWDZfzi8dVe2qiXMxZ2LJTifsWRECdR9lkU+2YbR+Ry7l5EoLgz9GqBoPaKM/bG4ri+OfbQGQAEIJAYAraJpevA129eL+PeGCczV86U0u2lkt8gXwraFUhRp6Ks3RzvOibai9jGEbmce9QgUNwZerVAUHvFmQhjcVzfnAjwDAICEIg9AdvEMvYDZgChELCNI3I5dzcgUNwZerVAUHvFmQhjcV3fnAj4DAICEIg1AdvEMtaDpfOhEbCNI3I5d1cgUNwZerVAUHvFmRhjrG9OjCsZCAQgkEECtollBrvGo2JEwDaOyOXcnYtAcWfo1QJB7RVn4oyxvjlxLmVAEIBAiARsE8sQu4LpGBOwjSNyOXdnI1DcGXq1QFB7xYkxCEAAAhDIYQK2iWUOo2LotRCwjSNyOfdwygmBopcHjR49Wp588klZvXq1NG3aVPr27Su33XabOYPbpnz11VfmvOy//e1vsm7dOnNBkZ4ZPnLkSNGLhVwLQe1KkPYQgAAEIACB7wjYJpZwg0B1BGzjiFzOPY4SL1BUnPTq1Uv0RlO92KdHjx6il/fMnz9fDjjgAJkzZ07K20jLMH/xxRfmltPly5dL+/btpUuXLuYWVf3RC4b0ZtNmzZo5eYWgdsJHYwhAAAIQgMAeAnoD+XvvvWf+W28k19vLKRCwJbBz506T+2k58sgjpU6dOrWaIJezJVy1fuIFit5o+pvf/MYIi2nTpknjxo0NhT/84Q8ydOhQ+eEPf2huO02nXHnllaK3m15wwQXy9NNP7/mi++Uvfyn33Xef6OcTJ05Mx1SNdQhqJ3w0hgAEIAABCFQgsGLFCnNreatWrWTfffeFDgSsCWzatMncaN+gQYO0XmqTy1kjrtIg0QJlx44d0rx5c9FlWYsWLZJOnTpVAHDcccfJm2++KQsWLJDjjz++Vpq6nOuggw6SvfbaS9asWSMtWrTYU/+bb76RNm3ayJdffimffPJJhc9sXURQ2xKjPgQgAAEIQKBmAhs2bBBdAaF/v/Vvd6NGjaRu3bogg0BKArq0a8uWLbJ+/Xr59ttvzSoZzStTFXK5VIRSf55ogTJjxgw59dRTjdr94IMPqtDQmRWdYRkxYoTZV1JbGT9+vAwYMMAsF3vppZeqVC0qKpJHH31UtF7//v1Tk6+hBkEdGB0NIQABCEAAAlUIaGKp+091yTcFAkEJ5OXlSdu2bY3QTVXI5VIRSv15ogXKPffcI0OGDJELL7xQ/vSnP1Wh8cILL8hZZ51lNrnrpvfayuDBg6W4uFiuv/56ueuuu6pUfeCBB+TnP/+5aL277747NXkESmBGNIQABCAAAQjYEFCRorMopaWlZrkXBQLpEtBlXfn5+Wb2JB1xonYRKOnSrbleogXKddddZ8SCihTdc1K5LFmyRDp27CidO3eWhQsX1kpT952oiFGRontOKpe///3vRuhovWeeeSawZwjqwOhoCAEIQAACEEhJQDfO6w8FAqkI6Gb4VBviq7NBLpeKbOrPEy1QBg4cKI888ojcdNNNcvvtt1ehocu+9FSPww8/XJYtW1YrrT59+sj06dONvauvvrpKXV321bt3b9F6U6dOTUm+LHgrV9TNfLokTU8Go0AAAhCAAAQgAAEIxIsAAsXdX4kWKD/5yU9k7NixMnz4cHOSV+WiR8apOElHoKj4UBGi9nS/SeWi4kXFCQLFPSixAAEIQAACEIAABOJKAIHi7rlECxSWeLkHCBYgAAEIQAACEIAABNIngEBJn1VNNRMtUNgk7x4gWIAABCAAAQhAAAIQSJ8AAiV9VjkpUNI9ZliPGh45cmStNNM9ZliPGi4sLAzsGYI6MDoaQgACEIAABCAAgawTIJdzd0GiZ1D0KEG9UEdvAK3tosb58+fLCSecUCvNtWvXSuvWrc3t8XpRY/mLesouatQjDPWixgMPPDCwZwjqwOhoCAEIQAACEIAABLJOgFzO3QWJFiiKRzfIjxo1Sk4++WSZNm2auUFWix47PHToUOnevbu89tpre0jef//9oj/nn3++jB49ugLhyy+/XB5//HH50Y9+JE899ZQRK1oGDRok9957r+jnkyZNcvIKQe2Ej8YQgAAEIAABCEAgqwTI5dzxJ16g6M2xBQUFMm/ePGnZsqX06NFDVq1aZf5bL92ZO3eudOjQYQ9JvVFel3tdddVVMmHChAqEP//8c+natauUHQXcpUsXcxzw0qVLzdHAamv//fd38opeBrRjxw5jjwIBCEAAAhCAAAQgEC8CmifWr1/fXAxKCUYg8QJFsWzdutXMhjzxxBNmeVaTJk2kb9++5ujhNm3aVCBXm0DRihs3bpQRI0bI5MmTZf369dKiRQs599xzjahp2rRpMC+Ua6XLw7Zs2SJt27at0ZYGvhZEjDPuWBsgDmLtPi+dJwa8YIy1EWIg1u7z1nniwBtKL4ZWr15tVuysW7fOi71cNJITAiVpjmXqMGkeDTYe4iAYtyS1IgaS5M1gYyEGgnFLWiviIGkeZTwIlBjGAF9EMXRaCF0mDkKAGjOTxEDMHBZCd4mBEKDG0CRxEEOn0eVaCSBQYhggfBHF0GkhdJk4CAFqzEwSAzFzWAjdJQZCgBpDk8RBDJ1GlxEoSYsBvoiS5tFg4yEOgnFLUitiIEneDDYWYiAYt6S1Ig6S5lHGwwxKDGOAL6IYOi2ELhMHIUCNmUliIGYOC6G7xEAIUGNokjiIodPoMjMoSYsBvoiS5tFg4yEOgnFLUitiIEneDDYWYiAYt6S1Ig6S5lHGwwwKMQABCEAAAhCAAAQgAAEIRIYAAiUyrqAjEIAABCAAAQhAAAIQgAAChRiAAAQgAAEIQAACEIAABCJDAIESGVfQEQhAAAIQgAAEIAABCEAAgUIMQAACEIAABCAAAQhAAAKRIYBAiYwr6AgEIAABCEAAAhCAAAQggEAhBiAAAQhAAAIQgAAEIACByBBAoETGFXQEAhCAAAQgAAEIQAACEECgRCAGtm3bJqNHj5Ynn3xSVq9eLU2bNpW+ffvKbbfdJq1bt7bq4VdffSW33nqr/O1vf5N169bJgQceKOedd56MHDlS9ttvPytbVM4cAR8xoL5/8cUX5fnnn5fFixfLqlWrpG7dunLUUUfJpZdeKtdcc43Ur18/c4PiSdYEfMRBdQ9dvny5HHvssaL2Tz/9dCkpKbHuGw0yQ8B3DHzwwQdy5513yvTp083fhPz8fDnssMPk/PPPl+uvvz4zg+IpVgR8xoD+rhcXF8s///lP2bRpkzRp0kROPPFEGTJkiPTq1cuqX1SGQCYJIFAySbuaZ+kXkX5JvP7669KyZUvp0aOHrFy5UubPny8HHHCAzJkzRw499NC0evnFF19It27dRJOR9u3bS5cuXeTtt982Px06dJC5c+dKs2bN0rJFpcwR8BUDw4cPl1GjRhlR0qlTJ+Pzzz77TGbPni3ffPONdO/eXaZOnSp777135gbHk9Im4CsOqnvgqaeeKjNnzpTdu3cjUNL2SOYr+o4BfVGlLyf091+/Ew4//HDRvxNvvfWWNGrUSFS8UKJFwGcM/OEPf5ChQ4dKnTp15JRTTpGDDjpIPvzwQyNWtDz44IPyX//1X9ECQG8g8G8CCJQsh8Itt9wiv/nNb4ywmDZtmjRu3Nj0qOyL5Yc//KHMmjUrrV5eeeWVMmnSJLngggvk6aeflnr16pl2v/zlL+W+++4T/XzixIlp2aJS5gj4ioExY8ZIaWmpmSnRP0RlRQXraaedZmbnbrzxRrnjjjsyNzielDYBX3FQ+YHjxo2Tq6++WgYOHCh//OMfEShpeyTzFX3GwJIlS8ybcp0xmTx5snlBUVZ27dolixYtMi+xKNEi4CsG9OVU2QqMl19+uYL/n3nmGbnwwgulYcOGsn79+j15R7RI0JtcJ4BAyWIE7NixQ5o3by66NEf/WOgbrvLluOOOkzfffFMWLFggxx9/fK091al7TUr32msvWbNmjbRo0WJPfX171qZNG/nyyy/lk08+qfBZFofPo0XEZwzUBlSXD+qb1Hbt2slHH30E+4gRCCsONmzYIEceeaT5/rjpppvkP/7jPxAoEfN9WXd8x4C+3Hrttdfkueeek7POOiuio6Zb5Qn4jAFd6nv22Web5eJTpkypArpjx46iInbevHlGyFIgEDUCCJQsemTGjBmiSy90CVd1U+06s6JvU0aMGGH2ldRWxo8fLwMGDDDLxV566aUqVYuKiuTRRx8Vrde/f/8sjppHlyfgMwZqI/vOO+/ID37wA2nQoIFZ7kGJFoGw4uCSSy6Rv//972ZJz8cff4xAiZbbK/TGZwy8++67Zu+ZLulatmxZhEdN18L6e6B7jvr06ZNSoOgMuy4HpkAgagQQKFn0yD333GM2qulU65/+9KcqPXnhhRfMmy/d5K5riWsrgwcPNhvhdNPjXXfdVaXqAw88ID//+c9F6919991ZHDWPLk/AZwzURrbsbVrbtm3N5nlKtAiEEQd6YMKZZ55pDtu4+eabzR4UZlCi5fewvgvuv/9++cUvfiHXXnut/O53vzNLfnUmXvci6GEJF110keyzzz7RhZGjPfP5PaArM3TGfOvWrVJ5iddf//pX+fGPf2yWluseRQoEokgAgZJFr1x33XVGLKhI0T0nlYtOv+o0bOfOnWXhwoW19lT3naiIUZGie04qF32LqkJH6+n6U0o0CPiMgdpG1Lt3bzOzpknLvffeG43B04s9BHzHwZYtW8yMWV5enlkmqjNnCJRoB5zPGPjZz34mDz30kPz3f/+3WeJVeRZl//33N38HdBkYJToEfMaAjuovf/mLXHbZZWYpcdkmeV3iq5vkdenXhAkTzDJzCgSiSACBkkWv6KbVRx55xKwNv/3226v0RJd96XGQ6UzT61SuTumqPd0QW7locqpJqtbTk5wo0SDgMwZqGpEmKpqw6DHTeqJbq1atojF4erGHgO840Jce+jb2lVdeMbMmWhAo0Q44nzGgS/vKDkrRY2Uffvhhs5xYN0TrkfNPPPGEOW5Wvw/09EhKNAj4jIGyEel3wMUXXyyff/75nkHqHlUVr/o9oftWKRCIIgEESha98pOf/ETGjh0rejys7jepXHRtqIqTdARK2Rtytaf7TSqXsvWoCJQsOryaR/uMgepGpifAqc/1DZq+MdW7DyjRI+AzDnQpT9euXc2b0/Kn9iFQouf38j3yGQO6bFjfnmvRF1L6HVC+6KZofYte08uxaJNKbu98xoBS+v3vfy833HCDWT2h+1j1+gE9Zlj3turJbj/60Y/2xElyqTKyuBJAoGTRcz6nc1nilUVHOjzaZwxU7oYu7enZs6c5JU6XdenyLko0CfiKg507d8oJJ5xgjpR+7733zF1KZQWBEk3fl/XKVwyoPT0wRQ9E0ZMd9XCEykXvv9DjyHXZzz/+8Y9og8mh3vmMAX05VVBQYJaIqxjV+7HKyrfffmu+J954441qBWwOIWeoESaAQMmic3xuiGOTfBYd6fBonzFQvhsrVqww597r8dP65kxPgqNEl4CvONBLXg855BA58MAD5YgjjqgwYBWquq9Nl/boRmm9c0kPT6BEg4CvGNDR6MEI+jt/8sknV7sJWo+dPeOMM8wS4vfffz8aAOiFWZbp6+CcspM7dfm4zpRVLvrvengGd2MReFElgEDJomfSPVZSp2N13XBtJd1jhvWo4cLCwiyOmkeXJ+AzBsrsfvrpp0ac6GbIQYMGmT96lGgT8BUHZQIlndHuu+++ZnaNEg0CvmJAR6Mb48855xxzB44eOVy5PPbYY3LFFVeYu7f0Di5KNAj4jIHTTz/dXP5c0+y5/rv+ffjpT39qDlSgQCBqBBAoWfTI9u3bzQkamzZtqvWixvnz55vp2NrK2rVrza2xenu8XtRY/mSOsosav/jiC3NRo75dpUSDgM8Y0BFt3LjRnMyzdOlSI0T1FnE9WpQSbQK+46C60bLEK3di4OuvvzZ/AzSudDZVL+otX/QgFf1u0Lfsum+REg0CPr8HrrrqKvnf//1fufLKKyvsRSsbqQpUFaqjR4+WX//619EAQC8gUI4AAiXL4aAb5EeNGmWm4vVtR6NGjUyP9NjhoUOHmjfhehtwWdHz7fVHNzvrF0v5cvnll8vjjz9uNr499dRTRqxo0bck+rZEP580aVKWR8zjKxPwFQOalOhFnXPnzjX3HOhJPZzQEp948xUHNY0YgRL9WPAZA7p0Z8yYMeYuHD3Rq+xvS0lJiblhXPch6HcFt4hHKy58xYBeO6B7U/VvgP5/9XlZ0WsH9DMteolv5eWg0SJCb3KVAAIly57ftm2b2cg2b948c9xjjx49zEV6+t/NmjUzf0DK3/Kq+wl0uZe+HdEzzMsXPUZQT+/RN2Z6O32XLl3MMZL6Nl3/W23p+feUaBHwFQNlR8vqHyQ9VrJ+/frVDrRy3ESLRu72xlccIFDiG0M+Y0BtnXbaaWYPiv5tOemkk2TDhg3m78CuXbvMi7Fhw4bFF1ZCe+4rBnbv3m3+Dvz5z382pDQf0P1puvRXT/rTQgwkNIgSMiwESgQcqTe96myIvvHW5Vm6iVUvUdKjhytPzdcmUHQousRHN0fqEYJ65r2ed37uuecaUdO0adMIjJYuVEfARwz079+/2qn8ys/TP1yUaBLwEQcIlGj6Nt1e+YwBXTKkN8nrUh49XlYv7tREVV9m6MwKJZoEfMWAftfr/lQ9blxPddy8ebO5D0tnzfRUR80zKBCIKgEESlQ9Q78gAAEIQAACEIAABCCQgwQQKDnodIYMAQhAAAIQgAAEIACBqBJAoETVM/QLAhCAAAQgAAEIQAACOUgAgZKDTmfIEIAABCAAAQhAAAIQiCoBBEpUPUO/IAABCEAAAhCAAAQgkIMEECg56HSGDAEIQAACEIAABCAAgagSQKBE1TP0CwIQgAAEIAABCEAAAjlIAIGSg05nyBCAAAQgAAEIQAACEIgqAQRKVD1DvyAAAQhAAAIQgAAEIJCDBBAoOeh0hgwBCEAAAhCAAAQgAIGoEkCgRNUz9AsCEIAABCAAAQhAAAI5SACBkoNOZ8gQgAAEIAABCEAAAhCIKgEESlQ9Q78gAAEIxITAxIkTpX///nLcccfJggULpF69elV6Pnv2bOnRo4c0b95c3n33XWnSpImsWbNGnnvuOZk3b57Mnz9fli1bJrt375Y5c+ZI165dYzJ6ugkBCEAAAr4JIFB8E8UeBCAAgRwk0Lt3eNd6mAAABTNJREFUb3nppZdkzJgx8qtf/aoCge3bt0vHjh2NMHnqqafk4osvNp/fc889MmTIkCq0ECg5GEAMGQIQgEA5AggUwgECEIAABJwJrFixQo455hhj56233pJDDz10j81bb71VRo4cKWeeeaY8//zze/792WeflZkzZ8oJJ5xgfq6++mqZNWsWMyjO3sAABCAAgXgTQKDE23/0HgIQgEBkCNx5553y61//Wk477TSZPn266dc777wjnTp1kgYNGsjbb78tbdu2rbG/BQUFCJTIeJOOQAACEMgeAQRK9tjzZAhAAAKJIrBz507p0qWLLFmyRCZMmCBXXnmldO/eXV5//XUpLi6WX/7yl7WOF4GSqHBgMBCAAAQCE0CgBEZHQwhAAAIQqExAN8mfdNJJZhP8L37xC9HlXSeeeKJZtlW3bl0ECiEDAQhAAAIpCSBQUiKiAgQgAAEI2BDQje+6AV6Lnui1cOFCOfbYY1OaYAYlJSIqQAACEMgJAgiUnHAzg4QABCCQOQKrV6+Wgw8+2DzwmmuukQceeCCthyNQ0sJEJQhAAAKJJ4BASbyLGSAEIACBzBIYMGCAjB8/3jy0Xbt2ZnP83nvvnbITCJSUiKgAAQhAICcIIFByws0MEgIQgEBmCMyYMUNOPfVUad26tTm9Sy9ivP766+Wuu+5K2QEESkpEVIAABCCQEwQQKDnhZgYJAQhAIHwC27ZtM3tNli9fLpMnTzab47///e/Lli1bzA3zetN8bQWBEr6PeAIEIACBOBBAoMTBS/QRAhCAQAwIDBs2TEaPHi3nn3++/PWvfzU9fuihh+RnP/tZWid5IVBi4GS6CAEIQCADBBAoGYDMIyAAAQgkncDSpUulc+fO0rBhQ3M540EHHWSGvHv37j13odx7773m6OGaCgIl6VHC+CAAAQikRwCBkh4nakEAAhCAQA0Edu3aJaeccorMnTtX7r//frn22msr1NRN8rofJS8vT95999094qWyOQQKIQYBCEAAAkoAgUIcQAACEICAE4H77rvP3BLftWtXmT17drUXMt50001yxx13VFj+tXbtWvPfZUVnXkpLS+UHP/iBNG7c2PzzmWeeKTfffLNT/2gMAQhAAALxIoBAiZe/6C0EIACBSBH4+OOP5aijjpKtW7fKokWL5Jhjjqm2f7qBXj/74IMPzAb6c889V1auXCmHHHJIreO56qqrZMKECZEaM52BAAQgAIFwCSBQwuWLdQhAAAIQgAAEIAABCEDAggACxQIWVSEAAQhAAAIQgAAEIACBcAkgUMLli3UIQAACEIAABCAAAQhAwIIAAsUCFlUhAAEIQAACEIAABCAAgXAJIFDC5Yt1CEAAAhCAAAQgAAEIQMCCAALFAhZVIQABCEAAAhCAAAQgAIFwCSBQwuWLdQhAAAIQgAAEIAABCEDAggACxQIWVSEAAQhAAAIQgAAEIACBcAkgUMLli3UIQAACEIAABCAAAQhAwIIAAsUCFlUhAAEIQAACEIAABCAAgXAJIFDC5Yt1CEAAAhCAAAQgAAEIQMCCAALFAhZVIQABCEAAAhCAAAQgAIFwCSBQwuWLdQhAAAIQgAAEIAABCEDAggACxQIWVSEAAQhAAAIQgAAEIACBcAkgUMLli3UIQAACEIAABCAAAQhAwIIAAsUCFlUhAAEIQAACEIAABCAAgXAJIFDC5Yt1CEAAAhCAAAQgAAEIQMCCAALFAhZVIQABCEAAAhCAAAQgAIFwCSBQwuWLdQhAAAIQgAAEIAABCEDAgsD/AXBV5nthFqNBAAAAAElFTkSuQmCC\" width=\"538.6666666666666\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Show the remaining training set\n",
    "show_2d_samples(Xtr_2, ytr_2, \"Input data set after editing by method 2\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3311dcba",
   "metadata": {},
   "source": [
    "#### Build a GFMMNN model from the remaining training data after editing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "7cf08e6c",
   "metadata": {},
   "outputs": [],
   "source": [
    "agglo2_clf_editing_method_2 = AccelAgglomerativeLearningGFMM(theta=theta, gamma=gamma, min_simil=min_simil, simil_measure=simil_measure, is_draw=is_draw)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "2b3c908d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "AccelAgglomerativeLearningGFMM(min_simil=0, theta=0.2)"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "agglo2_clf_editing_method_2.fit(Xtr_2, ytr_2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b16a6f2a",
   "metadata": {},
   "source": [
    "#### Display decision boundaries among classes if input data are 2-dimensional"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "b4de2060",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    fig.rubberband_canvas.style.cursor = msg['cursor'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from https://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"500.6666666666667\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "agglo2_clf_editing_method_2.draw_hyperbox_and_boundary(\"The trained GFMM classifier and its decision boundaries\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "1440c93b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of hyperboxes =  13\n"
     ]
    }
   ],
   "source": [
    "print(\"Number of hyperboxes = \", agglo2_clf_editing_method_2.get_n_hyperboxes())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "76c8d1b8",
   "metadata": {},
   "source": [
    "#### Make prediction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "f2366323",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Accuracy =  89.80%\n"
     ]
    }
   ],
   "source": [
    "y_pred_editing_method_2 = agglo2_clf_editing_method_2.predict(Xtest)\n",
    "acc = accuracy_score(ytest, y_pred_editing_method_2)\n",
    "print(f'Accuracy = {acc * 100: .2f}%')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e2a9f604",
   "metadata": {},
   "source": [
    "## 3. Method 3 of Data editing: Using repeated two fold cross-validation and a probability of misclassification for each sample."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c16ea1bd",
   "metadata": {},
   "source": [
    "In the second data editing method, all misclassified samples are removed. However, as it has also been indicated in the literature, removing all the misclassified samples can sometimes result in dropping whole regions of a class and essentially overediting the training set. In terms of the GFMM classifier generated for such edited data set, due to overediting, the classification models have turned out to be too simple to accurately capture the decision boundaries. Therefore, the third data editing procedure has been designed using an observation that some input data samples are more consistently used for generation of classifiers during the cross-validation process than others. It also applies to the misclassified samples, whereas some of the samples will be misclassified consistently while others only occasionally. The approach based on the rejection of all the samples which have been misclassified at least ones during the multiple cross-validation does not attempt to take this fact into\n",
    "account in any way. In order to rectify this problem, an approach which will estimate the probability of every single point in the original training data set to be kept during the multiple cross-validation. This probability is simply calculated as the ratio of the number of times an input X has been retained in the validation process of the trained classifier to the total number of repetitions of the two-fold cross validation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "1fd81fa4",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Import the data editing function\n",
    "from hbbrain.utils.data_editing import data_editing_two_fold_cv_with_probability"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "3e3c5ab6",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Initialise a GFMMNN model using the accelerated agglomerative learning algorithm\n",
    "agglo2_clf = AccelAgglomerativeLearningGFMM(theta=theta, gamma=gamma, min_simil=min_simil, simil_measure=simil_measure, is_draw=is_draw)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "c2923759",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Initialise input paramters of the data editing method\n",
    "n_iters=100 # Repeat 100 times\n",
    "min_remained_prob=0.5 # Minimum probability value so that a sample is retained (50% in this case)\n",
    "seed=0 # kernel seed for random split data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "ed6ecf7d",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Doing data editing and get the output dataset\n",
    "Xtr_3, ytr_3 = data_editing_two_fold_cv_with_probability(Xtr, ytr, gfmm_estimator=agglo2_clf, n_iters=n_iters, min_remained_prob=min_remained_prob, seed=seed)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "ce2f7ad2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of remaining samples after editing =  217\n"
     ]
    }
   ],
   "source": [
    "print(\"Number of remaining samples after editing = \", Xtr_3.shape[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "de41ad69",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    fig.rubberband_canvas.style.cursor = msg['cursor'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from https://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"560.6666666666666\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Show the remaining training set\n",
    "show_2d_samples(Xtr_3, ytr_3, \"Input data set after editing by method 3\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5812b9e2",
   "metadata": {},
   "source": [
    "#### Build a GFMMNN model from the remaining training data after editing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "d1cb6d6c",
   "metadata": {},
   "outputs": [],
   "source": [
    "agglo2_clf_editing_method_3 = AccelAgglomerativeLearningGFMM(theta=theta, gamma=gamma, min_simil=min_simil, simil_measure=simil_measure, is_draw=is_draw)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "931bbd80",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "AccelAgglomerativeLearningGFMM(min_simil=0, theta=0.2)"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "agglo2_clf_editing_method_3.fit(Xtr_3, ytr_3)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ceaf361d",
   "metadata": {},
   "source": [
    "#### Display decision boundaries among classes if input data are 2-dimensional"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "61be1aae",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    fig.rubberband_canvas.style.cursor = msg['cursor'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from https://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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       "<img 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\" width=\"546\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "agglo2_clf_editing_method_3.draw_hyperbox_and_boundary(\"The trained GFMM classifier and its decision boundaries\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "92d80e79",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of hyperboxes =  20\n"
     ]
    }
   ],
   "source": [
    "print(\"Number of hyperboxes = \", agglo2_clf_editing_method_3.get_n_hyperboxes())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6bb21b86",
   "metadata": {},
   "source": [
    "#### Make prediction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "af607285",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Accuracy =  89.60%\n"
     ]
    }
   ],
   "source": [
    "y_pred_editing_method_3 = agglo2_clf_editing_method_3.predict(Xtest)\n",
    "acc = accuracy_score(ytest, y_pred_editing_method_3)\n",
    "print(f'Accuracy = {acc * 100: .2f}%')"
   ]
  }
 ],
 "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
}