ML30-NeuralNetOverview.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "e2716c89",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib notebook\n",
    "import sys\n",
    "import numpy as np\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import cm\n",
    "from matplotlib.colors import colorConverter, ListedColormap\n",
    "import seaborn as sns\n",
    "\n",
    "sns.set_style('darkgrid')\n",
    "np.random.seed(seed=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "0503fdd3",
   "metadata": {},
   "outputs": [],
   "source": [
    "nb_of_samples_per_class = 20\n",
    "red_mean = (-1, 0)\n",
    "blue_mean = (1, 0)\n",
    "x_red = np.random.randn(nb_of_samples_per_class, 2) + red_mean\n",
    "x_blue = np.random.randn(nb_of_samples_per_class, 2) + blue_mean\n",
    "\n",
    "X = np.vstack((x_red, x_blue))\n",
    "t = np.vstack((np.zeros((nb_of_samples_per_class, 1)),\n",
    "             np.ones((nb_of_samples_per_class, 1))))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "1a731252",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "\n",
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       "    canvas_div.setAttribute(\n",
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       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
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       "\n",
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       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
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       "\n",
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       "    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",
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       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
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       "\n",
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       "};\n",
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       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
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       "\n",
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       "        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",
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       "        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",
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       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"599.5\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(6, 4))\n",
    "plt.plot(x_red[:, 0], x_red[:, 1], 'r*', label='class: красная звезда')\n",
    "plt.plot(x_blue[:, 0], x_blue[:, 1], 'bo', label='class: синий круг')\n",
    "plt.legend(loc=2)\n",
    "plt.xlabel('$x_1$', fontsize=12)\n",
    "plt.ylabel('$x_2$', fontsize=12)\n",
    "plt.axis([-3, 4, -4, 4])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "f970bea7",
   "metadata": {},
   "outputs": [],
   "source": [
    "def logistic(z):\n",
    "    return 1 / (1 + np.exp(-z))\n",
    "\n",
    "# y = 1 / (1 + numpy.exp(-x * w))\n",
    "\n",
    "def nn(x, w):\n",
    "    return logistic(x.dot(w.T))\n",
    "\n",
    "def nn_predict(x, w):\n",
    "    return np.around(nn(x, w))\n",
    "\n",
    "def loss(y, t):\n",
    "    return - np.mean(\n",
    "        np.multiply(t, np.log(y)) + np.multiply((1 - t), np.log(1 - y))\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "d77e83d5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"599.5\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nb_of_ws = 100\n",
    "wsa = np.linspace(-5, 5, num=nb_of_ws)\n",
    "wsb = np.linspace(-5, 5, num=nb_of_ws)\n",
    "ws_x, ws_y = np.meshgrid(wsa, wsb)\n",
    "loss_ws = np.zeros((nb_of_ws, nb_of_ws))\n",
    "for i in range(nb_of_ws):\n",
    "    for j in range(nb_of_ws):\n",
    "        loss_ws[i, j] = loss(\n",
    "            nn(X, np.asmatrix([ws_x[i, j], ws_y[i, j]])), t)\n",
    "plt.figure(figsize=(6, 4))\n",
    "plt.contourf(ws_x, ws_y, loss_ws, 20, cmap=cm.viridis)\n",
    "cbar = plt.colorbar()\n",
    "cbar.ax.set_ylabel('$\\\\xi$', fontsize=12)\n",
    "plt.xlabel('$w_1$', fontsize=12)\n",
    "plt.ylabel('$w_2$', fontsize=12)\n",
    "plt.title('Loss function')\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "de58aac5",
   "metadata": {},
   "outputs": [],
   "source": [
    "def gradient(w, x, t):\n",
    "    return (nn(x, w) - t).T * x\n",
    "\n",
    "def delta_w(w_k, x, t, learning_rate):\n",
    "    return learning_rate * gradient(w_k, x, t)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "a2b575d3",
   "metadata": {},
   "outputs": [],
   "source": [
    "w = np.asmatrix([-4, -2])\n",
    "learning_rate = .05\n",
    "\n",
    "nb_of_iterations = 10\n",
    "w_iter = [w]\n",
    "for i in range(nb_of_iterations):\n",
    "    dw = delta_w(w, X, t, learning_rate)\n",
    "    w = w - dw\n",
    "    w_iter.append(w)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "4574fd20",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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FdCjwsi+hoQjkzXCUWCEI+HoTTTqCUePD1H7GI56v+n7O3pUGNnXkHBkskY4CoxwJBy526gvHP0BjSqgR4WRfQ0JRyZrhKPACEf54CjsHo524Ogvh6mF7TZ6GY7+cIhaFfSoMLKvIeHIZI1wFFhzcBSFR8JRp91GHeEow2FqYcDzEhz9CY0qoEeFkX0NCUcma4SjwAhHwpG7jb6Ho7+hUQX0qDCyryHhyGSNcBQY4Ug4GhGOQg8pewmOer/JEz3qjexr6Es47nu/EtXvznZr9r1f6bOfk8kR4SgwwpFwNNJhauG7jV6Aoz+iUQX0qDCyryHhyGSNcBQY4eg/cORuo/5w9MdD1KqgR4WRfQ0JRyZrhKPACEfC0Shw9Mpuo0A4+jMaVUCPCiP7GhKOTNYIR4H5Ao7u4pFwVA+Oeh+mFo5GwXDU+42d6FF7ZF9DwpHJGuEoMMKRcORuo/fh6O+7jSqgR4WRfQ0JRyZrhKPACEfC0Shw9AoaBcCRaFQDPaJndN9Kt0fVNSQcmawRjgJTCY4i8ehvcMyau9PrcNTrMLVXdxs9hCPRqA56nBlX8FcWXeH2eApMvYZwZLJGOAqMcJQLjkLR2ASO3G3UB456v5nLMqrA0VsY9HyWYcaA5SiLXtYiMPVaO8KRyRrhKDDCkXBUGY5e3230AI7cbbQeGeEoJxCdh6Mzu5W+XE/Ckcka4SiwluCo5y15CEfCUffdRjfhSDTKCUd1kOg+HPWEJOHIZI1wFBjhSDiqikbZ4ag3kmQbPeCoLhLFwdGXiCQcmawRjgIjHAlHVeHoEzS6AUfuNuoHR2NBUTwcHSGScGRGj3AUGOFIOBKO4uBINPoejsbGovfg6A1AGhmO77zzDjRNs5kTJ07Yff7//vc/3HnnncjMzERGRgZuueUWfP75557+2szNCEeBEY7Gh6MRb8Pjk4ti3ISj3kCTdUTC0T+g6Bs4igSkkeH41FNPYfjw4airq7OaS5cu2X3+jTfeiLFjx+Ktt97C22+/jfHjx2PevHme/trMzQhHgRGOhCN3G8XAkbuN3oWjf2LRd3BsCkjC0brt27c7Db/XX38dcXFxOHPmjOWx48ePY9SoUaivr3f5tZnnEY4CIxwJR9Xg6NPdRifhSDR6B47+cxhaHjh6Akgjw3HevHm46667nHrujh07MHHiRJdfg3kvwlFgvoKjO3gkHAlH3XcbXYCj3jCTfVyBI7GoPxzdwaOR4ZidnY1FixZh6tSpGDZsGObMmYOTJ0/afe7SpUuxbNkyHDp0CCUlJRg+fDhWrVqFL774wtNfm7kZ4SgwwpFwVPH8RpngyN1GMXAkFuWDo6t4VA2OdXV1qK2ttYyjw8hffPEFNE3DDTfcgP/7v//DqVOncPvttyMpKQnvv/++zfPnzJmDjIwM/OhHP8Kf//xnHD9+HOPGjcOMGTNw9epVr64Lsx/hKDBn4ajH4WrCUQ04GhqNTsJRb5SpMI7gSDDKDUdXAOlLOK45tR4V/3eLW7Pm1HoAQE5OjtUV0jU1NQ5f76uvvrK6EObKlSsYM2YM1q1bZ/Pc+fPnIzU11Qqif/vb36BpGk6dOiVuEZjTEY4CcwaOep3nSDgSjrLDkWh0H44Eo1pwdAaPqsHR2R1HRy1btgyLFi2yeXz16tUoLi62euzSpUvQNA1Hjhxx+3dm7kc4CoxwJBxVgaPPL4ppAY48RO0eHAlGdeHYEh5Vg6OzvfnmmzCbzVZXSX///fcoLCzEjh07bJ7/9NNPIzExEefPn7c89te//hWapuHtt992+3dm7kc4CkxFOIrAo7/AMWvuTkPB0edobAGOemNMpSEYjQHH5vBoVDh+++23KC4uRllZGU6dOoX3338fK1asQGZmJv7zn//g0qVLVvd0/Pbbb1FSUoLy8nL87W9/w1tvvYXx48dj1qxZXlgJ5kyEo8BUg6OoXUd/guOE+fsNcWGMTHDkbqO7YNQfPeqOPHBswKO/wBEAPv74Y1RWVmLw4MFITU3FvHnzLBfGnDhxwuZTZGpra1FZWYlBgwYhIyMDP/7xj/Hll1+K+vWZixGOAiMcCUdVdhtlg6PeIJN9moJRJvSoOfKtYVM8GhmOTO0IR4H5MxxF4ZFwNPBuox04Eo2ugFFe9Kg38q1h00PWhCOTNcJRYP4KR5G7joSj/8CRh6idQ6MK6FFv5FxDwpGpEOEoMF/C0VU8Eo6Eo+6Hqe3AUW+cyTgtX/giJ3rUGnnXsAGPhCOTNcJRYM7CUY9dR8JRXjj68sIYXdHYCI7cbXQHjPKjR52Rdw0b/h0gHJmsEY4CIxwJR5l3G2WDo95Qk2lcu7WOvOhRZ+ReQ8KRyRzhKDDCkXCUGY66H6b+AY4l5nWEYxMwunY/RrnRo8bIvYaj+1aiPMv24/e8FeHIXIlwFBjhSDjKDkdd0dgIjnqDTYZx/wbecqNHjZF/DQlHJmuEo8AIR8KRcGx+is1VhKNHaFQDPfKP/Gu4aMgan713EY7MlQhHgakKR5luAk44Gvgw9Q9wbPicZX8cMR8TKD965B/515BwZLJGOApMRTiK2nUkHOWHowxo9Gc4ivtsafnRI//Iv4aEI5M1wlFghCPh6A4a/QmOM9L9E47i0KgGeuQf+deQcGSyRjgKzBU4+hqPhKO8cPSH8xsb37fRn+Do3lXT6qNH/pF/DQlHJmuEo8AIR8JRRjjKcH5j49vv+AscxYNRHfTIP/KvoS/hOP/1HZh8bJ1bM//1HT77OZkcEY4C83c4isAj4Wjs3UZ/gaP30KgGeuQf+deQcGSy5vdwrK+vx+bNm5GXlwez2Yzp06fjjTfecOt7+TMcRe06Eo7GhGNjVBkdjt5FoxrokX/kX0PCkcma38OxsrISxcXFeP311/Hhhx9i8+bNSE5OxpkzZ1z+XoSjXIerCUf94WjvM6mNDEfvo1EN9Mg/8q8h4chkza/h+MUXXyA2NhavvPKK5bGrV6+ioKAAu3fvdvn7EY6Eo2xw1Pv8RnsfLWhUOPoGjWqgR/6Rfw0JRyZrfg3HCxcu4NixY6ivr7d6vLCwEJs2bXL5+6kMRyNeICMSjllzd2Lc3H1KwlGmw9RGhaPv0KgGeuQf+deQcGSy5tdwtNfRo0ehaRpefvlll7/WVTiKwGP0o9ucwmNzcDTqldWEo/6Hqe0hy2hw9B0Y1UGP/CP/GhKOTNYIx0a99dZbSEtLQ0VFhVtf7z4c93g0wuC494BHIx0cK+9FUeX9QiZr7k6M/wGO44XDcY/XpiB/K8pGVesy/gDHa2hc5tOZ/gN6pvv4dY00KqzhoiFrBb/DOY5wZK5EOP7QsWPHYDabMWfOHFy8eNGt71H68v3IP7rDpUl+ZgOynqzxaPo/ug2ZP9vv0UTvvwdD7zvo0cRU70Ju9UGPJ2HtLoyqOujxmCt3oeSWA0Km4fxGkZM7ZQdKp9V4dQryt2JGwQ6fT4l5HUrM6zAr07gzum8lZgxYzuF4ZRYPqxL8Luc4wpG5EuEI4Ne//jUSEhKwdOlSXLp0ye3vwx1H7jhyt7H53Uaj7DjqsdOo0m6Z7KPCGnLHkcma38Px8OHDiI2Nxdq1a3H58mWPvpce5zg6e4EMz3H0fESf4+iP5zcaAY6+P6dRvfPz5B/515DnODJZ82s4fvbZZ0hNTcW8efNQV1dnNV999ZXL349wlOvTY2S/HY9R4dgcGlWHo2+vnlYXPfKP/GtIODJZ82s4PvbYY9A0ze6sXLnS5e/nLhxFXFktAxxl+/QYwpFwNB4a1UCP/CP/GhKOTNb8Go6icweOvroljzNwlOVwtUg4ir4lD+HYMhqNCEd50KgGeuQf+deQcGSyRjgKTC84OrPr2BIcZTrPUdbPqyYcPd9tVBGOcqFRDfTIP/Kvob/A8eTJk4iPj8eJEyccPufcuXNYsmQJMjMzMWTIEKxYsQKfffaZR6/L3I9wFBjhaOwLZFSCo6yHqVWDo3xoVAM98o/8a+gPcLxw4QIKCwuhaZpDOF6+fBljxozBzTffjA8++ABvv/02pk2bhtLSUrdfl3kW4SgwwpFw9Gc4OnOYWkU46g0IFdEj/8i/hv4Ax6qqKpSXlzcLx/fffx+apuH06dOWx1566SVomoYvvvjC7ddm7kc4CoxwJBz9HY7OYEwVOMqJRjXQI//Iv4ZGh+Mrr7yC3NxcvPfee83Csba2FnFxcdiwYQMuXryIr776CkuWLEFxcTGuXLniya/N3IxwFJgncPT2ldWEI+FIOLqGRsLRyCP/GqoGx7q6OtTW1lqmvr7e4eudP38e2dnZOHbsGD799NNm4QhcuwOK2WxGXFwcYmNjkZeXh3PnzglfB+ZchKPA3IWjqCurZYGjTBfIEI6Eo7HQqAZ65B/519CXcPTkvWvq7/cBAHJycqxuaVdTU+Pw9SoqKlBVde0jFVuC4+XLl7Fx40YsWrQIf/nLX/Daa69hwoQJKCsrw/fffy9+MViLEY4C0xOOLeHRWTjKsutIOKoFR2fRqAoc9UaD6uiRf+RfQ9Xg6OyO41NPPYWRI0fi66+/BtAyHJ966ilkZGRYng8AH3/8MWJjY3H06FHBK8GciXAUmOpwlOlwNeFIOHK3UV30yD/yr6FqcHS28vJyJCYmwmw2w2w2IzU1FZqmITk5GfPnz7d5/oYNG+xeQZ2dnY0HH3zQ7d+ZuR/hKDDCkXAkHNWFoxpoVAM98o/8a2hUONbW1uLs2bOWefPNN6FpGg4fPoza2lqb5x84cABZWVn49ttvLY99/vnniI+Px4svvujx785cj3AUGOFIOMoARz3QaBQ46o0Fo6BH/pF/DY0Kx6Y1PVR9+fJl1NXV4eLFiwCuQTMzMxMVFRV4//338fbbb+OGG27A+PHj8d1333n8uzPXIxwF5sn/84nAo5HgKAqPhKNcu42ywlGd3UY10CP/yL+G/grHc+fOQdM0PPnkk5bnfPDBB1i4cCGysrKQnZ2NO+64A59//rlHr8vcj3AUmAxwdIRHf4WjSDwSjsaGo95QMBJ65B/519Bf4MjUi3AUmN5wbG7X0RU4eopHo96Sh3A0JhzVQqMa6JF/5F9DwpHJGuEosKmvblIejjLtOhKOhKMv0Eg4+uPIv4aEI5M1wlFghCPh6G9wdPXCGBnhqDcQjIge+Uf+NSQcmawRjgITAUdvXSBDOBKOMuw2ygRHNXcb1UCP/CP/GpZnrfPdexfhyFyIcBSYp3AUsetIOHoXjllzdxKOBoKj3jgwKnrkH/nXkHBkskY4CkwWONrDo4pwlO6WPJX3E44GgaO6u41qoEf+kXsNR/etxOKSu3333kU4MhciHAU29dVNyHvpdinPc3QVjka6sppwJByNs9soP3rUGLnXkHBkMkc4Cmz+6zsMAUeZdh1FwVEIHglHwlGKkRs9aoy8azi6byVmpFcRjkzaCEeBEY5ywlHYriPh6DEaZYCj2oep5UaPOiPnGjb8u0k4MpkjHAUmAo6iznMkHAlHwtGIu43yoketkXMNG9BIODKZIxwFJhMcm+KRcCQcCUfCkSPvGjbebSQcmcwRjgKzwFHCw9Uqw1GaC2QIR+XhqD4a5USPeiPfGjZGI+HIZI5wFNj813dg8rF1hoCjCDwa7spqwXD0Fh4JR8KRo9YaNt1t9DUcRz/3oNvvNaOfe9BnPyeTI8JRYCLhKPo8Rz3gKNPhasKRcCQcOTKuoT00Eo5M5ghHgYmCozcukCEcBdySp/J+lNxyQPrD1YSjYzQSjhzZ1tAeGglHJnOEo8Bkg2NjPPo7HIXsOhKOysNRbyQYDT3qjhxr6AiNhCOTOcJRYFZwlOw8R8KRcCQcCUeOPGvo6BA14chkj3AUWAMcZbxAxh04ynKBjDRXVhOOhKMUoz961B9917AlNBKOTOYIR4GJhqPI8xz1gqNMu46EI+GoP1jUR48xRr81dAaNhCOTOcJRYCLhKPoCGcKRcPRnOBrnwhh90WOc0ReOzvw7SzgyWSMcBWYDR50PVze+QIZwFHBldSM4isKjynB0F0TmtrkAACAASURBVHF6wdGdN/nSfkvRMSQS6Z1HWB4b2rUEnVt3Q0hgawQGBCEiuAMSOwzG1H6LLc/pH5GIfuHxhkOPcUafNXQWjYQjkznCUWCN4SjbeY6ewFHEeY4ywNHjXccf4Cjyfo65U3YIxyN3HMXBcVjXEoQGtbFCYXrnEYhvn4FhXUdjRLdJSO44FEEBQegfkWh5zpheNyLQFIjRvW4wDHqMNb5fQ2cPUROOTPYIR4EZEY68QMa7cPTGriPhKA6OkaE9ENs+rcXnxbdPR6uAYJT2W2p5rGtoT8S0SzUEeow3vl1DV9FIODKZIxwFJhqOIs9z1BOOMu06+gscfYFH1eDYo000+rSNsbyZl/S8ASaTCb3aDLA8VtxzJkwmE4p6zsCYXrNhMplQ0KO0RRikdspGYEAQpvVbYnksrXMeWgeGWj2mInqMOb5bQ3fQSDgymSMcBSYrHKMf3UY4+hEcfbXrqBoc+4XHoUebfpY39IHtktEqIBhdQ3tdfywiGV1a90BZdAUyuuQjqAkGG8+0fkswpe/NGNl9Ktq0ioDWZHexqMeMH+BZpix6jDu+WUN30Ug4MpkjHAXWFI4yHa4mHAVcIEM4Kg3HmHapiAztibLoCkzuexNaBQQjtv0gdAyJRFl0Bab0XYTgwBAMjSxGWfS1C1w6hHRxiILAgCCYTCaYTCb0DY+1OkxdFn0NlgGmAKR1zlMSPcYe76+hJ2j0JziePHkS8fHxOHHihMPn/Pe//8WKFSuQkZGBzMxMbNiwARcvXvTodZn7EY4CMzIceYGMLRz9/cpq1eCY0CHTgsRBnXLRqXUUcqPGI7xVe5RFX9thDA1qg2k/XAjTo00/RIX2dgiDwh5lyO8+BYM65aJ1YJjdq6hDAkOR0CFTOfQYf7y7hp6i0V/geOHCBRQWFkLTtGbhWF5ejtLSUrzzzjs4fvw48vPzsWrVKrdfl3kW4Sgwb8BR1OFqT+DIC2Rs4Vi0XOyV1YSj9+EY13E4IoI7oLTfUkQEd8DgyEKM7D4VIYGhKIuuQMeQSCR2yLK8+UeF9kb3sL5OQSG761i7h6XDgto6dXGNTOjxj/HeGopAo7/AsaqqCuXl5c3C8S9/+Qs0TcM//vEPy2Ovvvoq4uLiUFtb6/ZrM/cjHAVGOKqx6ygbHFW9slolOM5Ir0Jy50KEBbXF8KjxllvsFPWcgQBTIAp6lCLQFIjxvedaANC7bQy6tO7uFBbG9f4RTCYThkQWWT0eFNAKyR2HKoMe/xnxaygKjP4Cx1deeQW5ubl47733moXjAw88gJycHKvHLl26hLi4OBw5csSt12aeRTgKzB4c5ThcvQf9G32KDOFIOPojHNMix6FVQDC6h/W1HD4e+8OV073bxqB3oyuuy6IrkNAhE2FBbZ1Cw5DIYphMJozqPs3y2IQ+82EymTCs62jp0eN/I3YNRaNRRTjW1dWhtrbWMvX19Q5f7/z588jOzsaxY8fw6aefNgvHzZs3Y9q0aTaPDxkyBD/5yU/ELABzKcJRYEaHo1HOc3T7AhnCUWk4ZkVNhclk+mFn8Ucoi67ApD4LYDKZEGAKQH73KVYYGB41ASaTyWoXsiy6At3C+iCl0zDkRo3H8G4TkNRxCIIDQxAVZn0+ZG7UeJhMJkzoM09q9PjniFtDb6DR13As+dUjbr83lPzqEQBATk4ONE2zTE1NjcPXq6ioQFVVFQC0CMfVq1dj1qxZNo/n5eVh3759An575mqEo8C8BUfP8eg5HHmeo304+vN5jqrBMbv7rGv3bWw70PKmP63fEphMJrQP6WwDgqn9FiMkMBSZXUZaPR7fIQPtgzuhVUAwggNC0CGkC1I6DcPUvjdbPW9guxTLrX1kRY//jpg19BYaVYSjszuOTz31FEaOHImvv/4aQMtw3LRpk8Mdx4cffljMAjCXIhwFRjiqtevoKRz9/QIZ1eA4I931T5CJaZfa7JXVjmZavyUIDWqDrC6jpEWPf49na+hNMKoKR2crLy9HYmIizGYzzGYzUlNToWkakpOTMX/+fJvnP/DAAxg+fLjVYw3nOL7wwgse/d7MvQhHgTmCo/6Hq/cg68kay6fIEI7ywVHFw9X+AMdxvX+EoIBWKO4506WvGxxZiPBW7b3wqTGeo4fj2Rr6Ao1GhmNtbS3Onj1rmTfffBOapuHw4cN2r5I+efIkNE3D2bNnLY+9+uqriI+PR11dnce/O3M9wlFg/gBHI53nSDjqg0eV4FgWXYGhkcXI6zbJpa8ZHFmI/G6TpUMPx7M19BUajQzHpjU9VH358mXU1dVZbvB99epVzJgxA5MnT8apU6fw+uuvIz8/H6tXr/b492buRTgKzJtw9AyPYuDo9+c5Eo7Kw9FdPMo1hKOv19CXYPR3OJ47dw6apuHJJ5+0POfzzz/HsmXLYDabMXjwYKxfvx7ffvutR6/L3I9wFFiLcNRt11EeOCq962gHjjKf51iQv1XKw9WEo2/Rw/FsDfVAoz/BkakX4Siw5uCo7+Hqa3DMeGIPz3OUHI6q7TqqCke18Ug4+mIN9QIj4ei7zp8/r/ePoGSEo8B8AUf38CgWjn57nqOX4aji4WoV4ag+HglHb65hw78beqKRcBTfl19+idWrV+O9997D999/jzlz5iAuLg5FRUVWF96wliMcBeZtOLq/6ygOjn59niPhKASPMsCxAY/6A4ZwlGkNZQAj4eid7rjjDhQVFeHMmTP4zW9+g+TkZDz//PNYsmQJFi1apPePp1RSwvGXv/wlbrvtNjzwwAP45ptvrP5u4cKFOv1ULecUHHU5XG0NRx6uFgtHnueoHhxLB92J1C7FiAzrh44hkege1heDIwsxtd9iCVBDOPp6DWXZZSQcvVdWVhZOnToFAFixYgWWLFkCADhz5gzS0tL0/NGUSzo4Hjx4EPn5+aiursbUqVMxduxYq3s1DRo0SMefrvlagqN+5zleh2PGE7sJR8nhqNquY0twnJ62Fh3bdENGnzEWOA7rPxU922sIC45AUGAwOoRFIavvBExPW2v5ugFd0hDdOVX4G/L4pGWIaN0JJpMJJlOA1f+Gt+qAsb1mSwAbwtEXaygjGAlH72Q2m/HJJ58AuPapMz//+c8BAP/4xz+Qnp6u54+mXNLBsbCwEH//+98BXLt/07Zt21BUVGTBo9ls1vPHazZfwdF1PIqFo6jD1bLA0Wk8+gCOKh6uLjZXNYvH7P7TEBocjtJBd1rg2LltT/TpmIhh0VOQH1OO+G7DEGAKQHKPEZavG5u0FIEBQRiTuEToTuM1NDaA0XYiWnWQfOeRcPR0ZAYj4eidZsyYgb179+KXv/wlYmNj8e9//xuXLl3CnXfeifLycr1/PKWSDo72dhTvvfdeFBcXo66uzu93HN3bdZQPjiLw6PPzHFuAo8yHq/U8zzEyvA/iooZa/jwrcx0mp95m87z+XQYhJCjU6rGuEf2gdc0S9mY8JHqSQzA2niGRRbrjhnD0LhplOGWCcPRdJ0+exNChQxEXF4e77762tuvXr0dGRgbeeustnX86tZIOjgUFBfjXv/5l83h1dTWKi4uRnJws9PWuXLmCPXv2ICcnB6mpqViwYAHOnTvn1vdyBo76HK62hiMPV4uHo7+c59ijSwL6RJktfy4ZfDtMpgBEtY+zvOGVJCyCyWRCSfxNGJdUAZPJhMK4+VZwtPdGmd5nNEwmE6YNWmX1WOtWbVCWtkbIm3H3dgOb3W1sOGzdPayv7sAhHMVjsfEOI+F4PX+AI3Dt/f7LL7+0/Pns2bNWf2bOJR0cq6qqsHv3brt/t3nzZsTGxgp9vb1792Lo0KF45ZVXcPr0acybNw/FxcX47rvvXP5evoSja3j0DhyNdLhaNjjKuuvYr1s6enSJt/x5YK9haBUUgk7h0ZZdx5jIDESG98GM9Cpk9h2HoIBWVvBz9Ibdt1MS2oS0t3qsOH4hTCYTiuIWCHkz7hjWzakdx44hXXXHDuHoHTASjrb5Cxw//vhj1NfXAwBef/11bNy4Ec8884zOP5V66Q7H1atX48yZM5Y/X7p0yeZK6sb9+9//Fvbaly5dwqBBg/D//t//szz2v//9DykpKfjNb37j8vfzFRxd33UUD0dR5zmKOFzts/McfQRHmQ9Xx/TKRmSH/igbWY3JwzehVVBrxPYZjo4RPVFsrsI080oEB7XGsOgpmJF+7QKXDmFRLb5hj4qdgwBTANJ6F1s9Xpa2BgGmAKT3Ge3Rm/CklFuR2H04AgMCnYAjdxxVH2fOYSQcr+cPcHzhhReQmJiIV199Ff/85z+RmJiIcePGwWw24+GHH9b7x1Mq3eE4aNAgxMfHY9GiRfjTn/7k09c+deoUNE3DP//5T6vHZ8yYgXXr1rn8/VyCo08PV9uHIw9Xu7jr6AQcjX64OqFfATpG9ETZyGoMipmATu16Izd1LsLDOqPYfG2HMTQ4HGVpqzEjvQo92scgKiK62TfsCcmVCAuOQFREtNVV1Q0TEhSGxO65br35liQsQnRnMwIDgpzaaWyY1C4lEt/nkXD0BIyEo23+AMfx48dj7969uHr1KmpqalBcXIyrV6/i6NGjKCoq0vvHUyrd4VhfX4+HH34YBQUFiIuLw5QpU3DkyBFcuXLF66/929/+Fpqm4eLFi1aPL1++HDfddJPL32/+6/dg8rH1To0YOO5xeq7D8foIgePeAx6NNHCsvPcaCFsYCxwdjPjD1XuETUH+VpSNqvZozDHjENEmEqUjtyOiTRcMTpyBkemLERLcBsXmKrQL646k7sMtb35REf3Ro32MwzfsKal3oH1oJNqHdcUU8x1230DDgiOsLq5paaanrcXwgTMRFRFthcHgwNaI6ZqFtiEdmjnPMQARrTujdNCdjT5dZplUM/0HOE6X4GeRZdy5SppwvJ4/wDEpKclyxLK0tBTbt28HcO0opuhrJ4ye7nBs6OrVq3jxxRdRXl6O2NhY5Ofn45FHHsGFCxe89prPPPMMNE2zQeodd9yBOXPmuPz9Fv5pJ6a+usGpGfHS7cg/usOjSX5mA7KerHF7+j+6DZk/2+/RRO+/B0PvO+j2xFTvQm71QY8mYe0ujKo66NGYK3fBXLkLJbcc8Giy5u7EhPn7hUzulB0onVYjbAryt2JGwQ6PJiuhDGGt2yFv0AKEhoSjdOQ2lAxZgYCAQBRlLUdAQCAmp96KWZnrMCtzHfp0SkRkeG/LnxtPWfqdiAzvjTYh7TAp9Ra7z5mVuQ5BgcEw9xrl8O8t3y/tTmT2HYt2oV2sMNi2dQek9S5GadpKzMpch4kpyxER2tnufRwjQjtjYspyy/e0YGTAco5k0xiLLf27oeIsHbND0Dtdy4176JDbR43GPXTIZz+nJ+Xm5uLUqVP4/PPPER8fj1dffRUA8PLLLyM/P1/nn06tpIFj406fPo1Vq1YhOTkZmZmZuOeee7zyOkePHnW447h48WKXv5/LO44+3HV0tONohF1HYbflcWLX0ZkdR7GHq8XuOHq665idMhutglqje+c4JPQbhbJR1Rg7bBVMJhN6d01Btw4JVrsmid1zERYcYbPTU5a2Bj3axyAkKAyjE252uOsyKWUFTCYTcvqXOnzOxJRbkNAtByFBYVZgjAzvg5z+pXavyC4ddCeGRk9Gj/Yx6NimO3q0j8HQ6MmWe002HZl2H/15x7ExFj29ByN3HK/nD3Dcvn07CgsLMWHCBIwYMQKXL1/GkSNHMHToUOzY4TukGyHd4Xj69Gn86U9/wu9+9zs88cQTeOihh3Dvvfdi/fr1lt3HuLg4r7x2wzmOTW//M2PGDGzcuNHl7+fsOY6+vy2P7TmOvC2PG+c5tnCOoz9cXT1i0E0wmQIQGBCE8dlrUDayGpNy18NkMiEgIBD5aTdb3dMxL2YWTCYTJqbcavWG3b/LIJhMJph7FaIgdq7VNMbb8IEzYTKZMKnR1zdMcfwC9OuUbHXBS4ApEH07JaGo0e1/RE1jsPAcR3nPXSQcXc8f4HjlyhUcOnQId911Fz788EMAwGOPPYY9e/b45NQ4I6U7HBtgGBcXh6SkJAwdOhRFRUWYMmUK5syZg4qKCqxatcorr33p0iWkpaXh8ccftzzWcFX1888/7/L30wOOzuHRe3AUdXW1LHBsFo8+hqOMV1cXZlbCZDKhV9dky2PT8rfBZDKhfXh3m5uBlw5ajZCgMGT1HW/1ht0mpL3DC1PGJS2zPDcmMtNya58Z6dfOX8wdUIau4X2tviYkKBTxUcMwIdn7nwSiPyD9A47e/nQXwvF6/gDHhurr63Hq1Cn87W9/w9dff633j6NkusMxKysLiYmJWLduneVzJH3Zvffei6ysLLz00kuW+ziWlJTg+++/d/l7uQVHn+w6yg1HEXj0yafIuABHo19d3dI0xqPWdTCiIvq7/IZdlrYGocHhGNxvAqaZVyK9d0mjz5j+4eMBW3dCeu/RmGZe6fM3dv0AaVw4+vKjAAnH6/kDHK9cuYKtW7ciKSkJcXFxiI2NRUpKCrZv346rV6/q/eMple5wvHjxIg4dOoSRI0ciMTERt99+O06fPu2z1798+TLuvvtuDBkyBGazGQsXLvT6J8f4/nC1YzjycLV4OBr9cLWrcJyQXImgwGCMTljk0hv2kH6T0CakPeK6DkVwUKgVGLtG9EPugOl2b99jfEAaB44iz1kkHN3PH+C4f/9+pKen42c/+xlOnz6Nd999F4888ggyMzPx0EMP6f3jKZXucGzoypUreO655zB58mTExcVh7ty5+OMf/6j3j+VSesGxZTx6H45+cbhaBzjKeLjaHTwOi56C/Jhyp9+wC+Pmo3Obnla3zQkMCES/Tikojl+o+5u6voBUG456YpFwtJ8/wDE/Px/PPvuszePPPvss7+PoYtLAsXHHjx/HvHnzEBcXh0mTJuHw4cN6/0hOpQccndt19C4cZdl19PrhahfhyMPVrr1hl6WtQXb/aegS3rvJ+YthSOiWg4kpt+j+Zi4HItWCoyxQJBwd5w9wTElJsbkQFgD+9a9/ISkpSYefSN10h+P777+PkydP4rXXXsNvf/tbPPXUU3j00Udx4MABzJ8/H7GxsYiPj9f7x3Qqd+Dom8PVzcORh6vFw5GHqx3jsekb9lTzjzGoV9EPN+a+DsZ2oV2Q0Wcspg1apfubuChEioGkvHBs+rvKBMWW/j2UbQhHsU2YMMHq44Ub+sUvfsEdRxfTHY6Nr6qOjY21mkGDBmHEiBGYMGGC3j+mU+kJx+bx6Bs4Gv5wtU5wVH3XsSkeG96wxyctQ2zXIQgObG0FxqiI/sgbOFOK8xdFjz1YqQpHe7+LzFBsOoTj9fwBjk8//TSSk5Nx991346WXXsJLL72E6upqpKSk4LHHHtP7x1Mq3eH42GOP4bnnnsOxY8fw1ltv4cMPP8T58+dx+fJlvX80l9MLji3vOnofjrLsOnr1cLUbcJT1cLWeu46F8XPRu2M8AqzOXwxC/85mlPxwAY2/jCN8yQRHRz+jSki0N4Tj9fwBjgDw8MMPIzs727I5lZ2djZ/+9Kd6/1jKpTscjZS7cPT+4eqW4cjD1eLhyF3H63AsTF2DYdFT0LltT6vdxdat2iKp+3BMSlmh+xu1LNMc1Kxx6RkcnX0dvdfDW0M4Xs9f4NjQ+fPn8fnnn+v9Yygb4SgwveHoGI++g6OhD1cbDI4idh2njtiCwQkz0L1zHDpG9ET3znEYnDADU0dsQdnIakzK3YCUgWMQGmx9w+/2oZHI6jve4Uf8cZofZ9HnjyB0dgjH6xkVjk8//bTTw5yPcBSYnnBsftfRN3CUZdfRa4er3YCjChfJuIvHsUNXITysyw8YDLD63zatO6Jft3S0CgqxAmP3dgMxUis35PmLRI9aI/saGhmO//3vf7Fq1SrL/ZMXLFiAM2fOOHz+2bNnsXjxYmRlZWHw4MGoqKjAxx9/3OLrNL1uwtF462ONjRrhKDBP4Ojdw9XOwZGHq+WGo0y7jlNHbPkBjQFWMLQ3QYGt0L/HYGTHXfsca9nfsFUYrqHx19DIcJwzZw4mT56Mt956C2fOnMGyZcuQk5ODb775xua5Fy5cwKhRo7Bo0SKcPn0a77zzDsrLy1FcXIxvv/1WxK/PXIxwFNiyP9+uOxzt49G3cBRxuFrErqOncLTBowdwlH3X0VU4Dk6Y0SIYTSYTekemYGLOOqvzHUvMcr9hqzCyo0eFkX0NjQrHr7/+Grfddhveeecdy2OnT5+Gpmk4deqUzfN/97vfISEhAfX19ZbHPvnkE2iahuPHj7v/SzO3IxwFJgSOXtl19B0cDb3r6CYcjbjr2K2T5hQcu3eOs/7aUdWEox+gR4WRfQ2NCsemnT9/HitXrsSIESPs7jjW1tbitddes3lM0zQcPXrUo9dm7kU4CsxTOHrvcLXzcOTh6mYukrEDx8Jl+xER2Rvx+bMsj+XM3oheSTkI79wTpoAAdOwZYwPHPrE56B0zRCo4toTHaSO2Yrh5PqK7Zzh1iNpkMqFjRE8bOM4o2OHwU2U4xkCPCiP7GvoDHDdu3AhN05CUlGSDw+batGkTUlJScP78ebdfm7kf4SiwNafWo/zEAt3haItH38JRBB5FHa4WuutoB46pYxaiddv2KFhSY3nMPPZmhIZ3RNTANLTp0BUde8bY7DrmT92AwMBWGDFlnVR4bIrF0vxtGDFoEQb0HILWwW2dwuL1CbC749gAR+LRuOhRYWRfQ9XgWFdXh9raWss0PrTsqDNnzuCvf/0rVq9ejZSUFKvD1476+c9/Dk3TcOiQvFdzGz3CUWDC4Ch819F1OHLX0Tk4duwRg37pRVaHpQuX7bP835H9U+3CcdzcfejcTUN0Qr5UcCzI34rS/O0Ylb4EMb1zEBbSzs4uYi/0iTI7hcchCTPtwrFslP1PleEYAz0qjOxr6Es4Ttx7yO3/xk7cew1wOTk50DTNMjU1NU6//tWrVzFu3DisWrWq2eft378fmqZh586dHv2+zLMIR4E1wFGGXUdP4CjTRTK+hGMXLRVdEzMtfx588waYTAFoPyDlGh4r70d2eRVMJhOGzlqDnDmbYTIFYPD0lQ7PbWwKx8Z4TBo6HSGtwzFmTo3uF8lMmbwLo0bejr59hqNtaEcbALZv2w1J/YsxesgdTl5VHYCIsC6W+znag2PDxTLEo/HQo8LIvoaqwdHZHccvv/wSR44csbki+tZbb8W8efPsfs2VK1ewdu1aaJqGBx54QOwvz1yOcBTYmlPrUfF/t+gOR1s8+h6OKh6u7pYyBJ1jUix/7pkxAkEhrdGxX5wFjn1S89Chx0AULb8fCSNvQGBQMAoq7nMKjk13HYdPvBMmkwk541fqtutYWLAScXFFCA+PtMFfRJsuSOg3CsWDVzi8j2OEg/s4RoR1wdihq2y/rgkciUdjokeFkX0NVYOjs3300UfQNA0vvvii5bHvv/8eRUVF2LJli92vqaqqQnx8PJ588kmPfk8mJsJRYELhKHTX0T04+tvh6l6ZI9Ghr4b8NQeQe/tuBIWEoveQQkR06wPz8nuRvGQbWoWEIWX0AhQtvx+9knIQ0aVXs1dT24NjAx7HzKlBQEAgkoZO9+mteYqK1iAhYQzatetug8U2bTqhX588FGZWojR/u1P3cxySMNPqk2OGJMy03WlsBo7Eo/HQo8LIvoZGhSMALF26FCNHjsSJEyfwwQcf4LbbbkNmZib+/e9/4/Lly6irq8PFixcBAC+++KLl0HddXZ3VNDyH+TbCUWCN4aj3rqOncJTpcLWvdh375Y5FRLc+yF9zADFF09GuRzRSplcgrGMk8tccQO9RZdcuhPlhhzEyOhmdese5BMemu47Brdsixjza67fmKSlZh6SkCejQobcNFkND22PgwDzkj7gVUybvcuv2PE6PAzgSj8ZCjwoj+xoaGY719fXYvHkzcnJykJKSgrlz5+KDDz4AAJw7dw6apll2F5cvX2517mTj4Q6kPhGOAmuAo3yHq/WBo2q7jgMLS9GmcxRGrL4fYZ2iED9xLgbNvh3BYW2Rv+YAwrr2wsAh4ywXx3TuHY8u/ZLcgmMDHlu3aY8BSYUewdERHseM3ojUlMno1KmfDRZbtw5H//45yBu+DFMm3+vW7XlEw5F4NA56VBjZ19DIcGRqRzgKTDgche06ugdHf7unY9y42QgJb4+UGcsQ0rYd8lbdh8yFVQgIDET63DsREBiExAUbLHDsFpOODt0HuAzHxruOQa1CEJc+0W04Nt11HDf2LgwylyKyy0CbC1eCg9ugX78hyMlZjMmTdrp1ex5vw5F4NAZ6VBjZ15BwZLJGOAqsKRz13nW8fk9H/eAoy0UyzuAxadrNCAoJReeByeibMwb5aw5gaMUWmEwmdE3IQNeEDJgrd1ng2D9rDFq3be82HAtnbofJZEL6yIUewXHouE2ISStDVNc4BAQEWmGxVavW6NMnA8OG3YTJk+4RflNwb8CReFQfPSqM7GtIODJZIxwF1hiOcu06egZHf9l1NJffCpMpAAFBrTBs+XbkrzmAnBU7YTKZEBAQiEE33gZz5S6YK6/d1zFt4jKYTCbkzd9uhcJRi/cgZfRCpIxeiHZRfdG2U3fLn0csuNvyPK1wAUwmEwpnbHMZiyXlOzFo+I8Q1TsZgYGtrLAYFBSMXj3NGDJ4HiZN9OzKa+F4dBKOxKPa6FFhZF9DwpHJGuEoMNFwFHeRjPtw9KeLZDLmr4HJZEJkfJrlsRF37ofJZELbrj2Rv+YARlUdtMCxYOleBIe2RWLBjVZwzP3RXQ5viJ0x5VbL86Lic9ApaoDTWBx94y6k5c9H936DEBgUbPV9AwNboXP3RGRlzsbECdXCbwyuBxyJR3XRo8LIvoaEI5M1wlFgTeEow0UyDYer9YSjSruOLU0DHBs+TaaPeSQ6945v9nC1vSms2IfWbdsjOmdG81icvRuZo25Gz/6Z3ewdDQAAIABJREFUCGrV2gqLAQGBiOyZAHPubBTfcI/wm4J7ZdfRRTgSj2qiR4WRfQ0JRyZrhKPAvAZHAXj0FI5GOlztCR5HVR20+hjC4fO2IbBVCIbdUOUSHJOL5iKsfSQy59xtg8Uxc2owuKgCvWOGIDgkzHrXMiAAnbtrSB42C0Uzq71yU3Cv4tENOBKP6qFHhZF9DQlHJmuEo8AcwVGGXcfkZza4DUdZdh19dZGMs3BswGNKyQKkT650GY4ZU1dYLpQZO2cvhpRUom9sDkJah9sc4u4UNQCJg0tRMH2rV24K7jM8uglH4lEt9Kgwsq8h4chkjXAUmD04ynC4Ou/5aiFwNNKuo6dwbLzr6O4ULtuPrNI7EBWfi9Zh7W0/H7pLXyRkTsGo0ru8clNwXc539ACOBKQ66FFhZF9DwpHJGuEoMG/BUQQePYWjkS6S8QSPTeHoKh4Ll+3HkBl3ol9aIUIjOtlgsV2nnohLn4D8aRu9clNw3XcdBcCReJQfPSqM7GtIODJZIxwF1hwc9d51TH5mQ5OPIVTzcLXeu46N4ejKruPQG9aif+ZotGkfaYPFth27oYe5CHmTqzy6n6Mvdx3dxqMgOPo7HmVHjwoj+xoSjkzWCEeBOYKjDBfJ5B/dIQSORtl1dPciGVfgmH3jBgwYMh5tO3W3wWJYu86IzijG0JlrULhsv81nWBsWjwLh2BiP/gZI2dGjwsi+hoQjkzXCUWAtwVHPXccGOHLX0bNdx6ZwbIrH3B/dhZjsyYiI7G37+dDhHdF30CgMnr7SgkVHn2EtCo7S4VEwHP1191F29Kgwsq8h4chkjXAUWHNw1PsimfyjOyxXWMuw6ygLHB3hMW/lXiRMnIdOA5IQ0b0POg1IQsLEeci/8z6b5ybOW4/Y4aVo3y3aBoshYRHonZKHzGm3oXDZvhYPaau06+jWxTJegqO/4VF29Kgwsq+hL+FYuv2Q2xcMlm4nHP0twlFgPoGjm3gUBUd/2HUcWrEFYZ26Wu6b2Ph/wzp1xdCKLci+ZQe0kpno0CcGJlOAFRaDQ9uiZ2IO0idXoqDiPpcunlFt19FlPHoRjv4ESNnRo8LIvoaEI5M1wlFgzsBRr13HxnDk4WrHu455K/deQ2NAgM3uoeXj/VqFwBQQaP1YcGt0jMvAoAlLUbDUNSz6YtdRmkPWPoCjP+BRdvSoMLKvIeHIZI1wFFhLcNRz17EBjrLsOspykUzTXceEifMcgtEGkMEh6JqQgaRpN2P4yr0e39fRW7uOvjpk7RQefQRHowNSdvSoMLKvIeHIZI1wFJgv4OjurmNTOHLX0f6uY6cBSc3uNjZMeFRvDL9jj81FMiLxqNKuo9N49DEcG+PRSICUHT0qjOxrSDgyWSMcBeYMHPW6SKYxHJvuOqY/vgttonuh702lVjhM3H0nIpI1BLYOQav2EYiaMBJpv7jHAseIkVnonDPEELuOMcs3QCuZiaCQ1k7tNkZ072P3P6Ki4GhYPOoARyPuPsqOHhVG9jUkHJmsEY4C8xUc3cFjc3AccNtcBHdsZ0FhxhO7YX54K4I7tkN4/ADErFmEfotnIKhNKCKLcyzP6XXP7Qho1QqJ29YpueuYfsdm9BszFRF9+9tc4NLsBASg88Bkh3D050PWLeJRRzgaafdRdvSoMLKvIeHIZI1wFJgrcPT1rmNTODbGY3j8AHSbONJqt7HnrLEIDG0N80+3WB7re1MZTIGBSDm40bLrGBrfH10L83WHozN4HLb1fgy6ZR36FIxH2+6291kMCA5Bux62t9SxNwmT5jv8D6nMu46641FnOBoFkLKjR4WRfQ0JRyZrhKPAnIWjNy+S6TwkAV3zzJY/Zz5wO0wBAYjMSbY8lrH/VphMJgzcfTOS76uCKSAA8dtWWMExPL4/OmSlWD1mfmQrTAEB6LdkpuWxznMmolV4ONJ+UqM7Hh1hMWXJKvTMK0ZolygbALYKa4uu6UMRP3sJ4lbejbiVO5q/qjogAGGdopC3cm+zcJR911E3PEoCR9UPX8uOHhVG9jUkHJmsEY4CcxWO3th1jCpIR+fB8ZY/9xg/DEFhIehoHnj9sXFD0T4xGknPrEePpeMREByM9F/utEJiq3bh6D6l0OaimOCO7dFt4ijLn3vctRwmkwlx61fqDscGPA7bsh9JC1eg+7B8hLTvaIO/4Ij26DYkD4nzb8HQu/bZXChz7T6OUXbv49imcxSGVmxp8T+mKuw66oJHyeCoKiBlR48KI/saEo5M1ghHgbkCR29dJNNzYjbap/RH3vPVyP71JgSFtUavqcMREdMLec9XI+epzQhqG4r4VbOQ93w1OhalIaxfTxsgBgQFoteNE2weD+3dDV1GDb1+Yc0vd8IUGIg+N07X9SKZzJ170WPuTYjKzEZw2wgbLIZ26oIeuYVIvvnHGLZlf4tXWOet3IuESfPReWAyIrr3QeeBydcOT9v55BgVdx19dcjaBo+SwlG1w9eyo0eFkX0NCUcma4SjwHwNR3t47DurAOEDeyLv+WoMvHkCImJ7I2njXIR174y856uhLZ+KkE4RyH12K/Ker0ZEpoa2qf3dhmPGE7sRGN4G3SeM9vmteTJ27EHMvJvQOT0TQaGhNlhs060neo8cC/PytRi29X6PPk2mYex9VrWvdh1VPWRthUeJ4agSIGVHjwoj+xoSjkzWCEeBuQNH0buOA24ah7BekRh+ZDvCenZB3B0zYN6xGMHt2iDv+WqED+yJvjcUWJ7fcVAMIjJibIDo7KHqjCd2I6hjO7QfO9xjODqDx/TtO9G//EfomJKKgOBg253F3n3Rt2Qy0m7bKOzTZDyBIw9Z2+JRdjiqAEjZ0aPCyL6GhCOTNcJRYK7C0RsXycTeWoqQzu2QvHkegjuGI/fwFqTvuwUBQYFI270MAa2CMOSxNZbnRw5PQZv43jZADI/vjw6Dm14cs83m4piMJ3YjsHUIOk4v8QiOze06DrqrGv2mz0L7uAQEBAbaXKzSLiYWfadNh3njNq98moy7cFRh11HPnUe9YagyIGVHjwoj+xoSjkzWCEeBuQtHkbuOiWtnIyisNTplxqHPzFHIe74agx9eBZPJhMjhKYgcntLk0PYohHRuZ/NJMj1njUVgWGuYH9l6/XY8N0+3uh1PxhO7kfqTu2AymdC1slzoxxCa19+FPpOnIaL/QJsrnAOCWqFDYjKiZ96ItC07vP5pMp7AkXhsOntc+2xriUYmQMqOHhVG9jU0Mhzr6+uxefNm5OXlwWw2Y/r06XjjjTec+toNGzYgPz/f5ddk4iIcBeYOHEXvOqZuvwmmgIBrO4uPXttZHPar9dfQFRiI1LtvtoJj8l3zYTKZEPvwbda7iw03AE8YgJi1N6PfkpkIahtmdQPwjCd2I2b1TTCZTEh9cLPHcEzYUoWO40vQplcf28+FDmmNTuY0DJwzH+nVu3zyaTIi4Sj7IWvfXSyzB6XTaiyA1BuDqgJSdvSoMLKvoZHhWFlZieLiYrz++uv48MMPsXnzZiQnJ+PMmTPNft0f/vAHaJpGOOoc4SgwveDYeNcxfW/ltd3FRvdtHP7cNphMJrSN7m5zFXbu4S1o1a4Nei6bYLPrmLhr1bWPHAwJRqv24Ygan2/16TIZT+xG19G5CI/vb7khuCt4TPvpfYhbvxLdxhUjtLvtPRaD2rRBl6wh0BYuRuY9NT75NJmWdh3dgSN3He3D0erQtQQgVAmRsqNHhZF9DY0Kxy+++AKxsbF45ZVXLI9dvXoVBQUF2L17d7Nfl5OTg/LycsJR5whHgbkLR2/eELy5T46x3MJnUg46DoqxgWNLk/7LexHcsR36LZ1leawlOKY9tBfanbeia1E+Qjrb3mOxVft2iMgdirillcjctc/rnybj6q6jJ3AkHm3haAQ86gFI2dGjwsi+hkaF44ULF3Ds2DHU19dbPV5YWIhNmzY5/Lrly5dj/fr12LdvH+Goc4SjwPSEo6P7OjoDxyGHViOwdTAG1ix2CY/Ry8vROqqL1c3D7e06DnpwDwauWIouedlo1c72HoshXTojqngUYlffhrSH9gq5r6O3dh3dhaPoXUdvH7L2Hh5t4WgUPDYFpDcRKTt6VBjZ11A1ONbV1aG2ttYyTWHYXEePHoWmaXj55Zft/v0zzzyDgoICXLhwgXCUIMJRYJ7C0ZufX90cHPOer0b8qllI2brQZTjGblxm+/ij2zDowC70r1iITkMzERQWZnvbnJ7d0X3CaMRvXIW0n97n9U+TEbXr6AkcVTlk7V082oejkfDoi11I2dGjwsi+hr6E48yqQ27/d2hm1TU45uTkQNM0y9TU1Dj12m+99RbS0tJQUVFh9+8/+eQTZGVl4c033wQAwlGCCEeB3f23+W7D0du7ji3BsWGSnlnv8iHrxp9lHb28HG0yEhEQYnuPxTbRfdFz2kQkbl3nk0+TEbXr2BiPIuDo33h0DMfGeDQSIL2BSNnRo8LIvoaqwdGdHcdjx47BbDZjzpw5uHjxos3fX716FbNnz8b27dstjxGO+kc4CkwEHL216+gsHBvw6CwWU3+yGX0XTUc7cxwCgoJs7rEYHhuD3rOmIfmezT75NBlv7jomrNnlMRxVOmTtHTw2D0ej7j7aA6QniJQdPSqM7GuoGhxd7de//jUSEhKwdOlSXLp0ye5zPv74Y2iahpSUFJjNZpjNZiQmJiI2NhZmsxmHDx/25NdmbkY4Cuzuv81H1duTdd11dHSRjEg4Ju9fj94/mozw+AF27rEYhHaD4tFl/hSk7Nnuk0+T8eWuoyg4+i8enYOjkfEoApGyo0eFkX0NjQzHw4cPIzY2FmvXrsXly5cdPu/777/H2bNnrWbr1q3Izc3F2bNnXTqPkomLcBTYvvcrhcDRG7uOrsDRHh6Tdt+JnrPGos2A3rb3WGwdgo6DUxG9/EaYH9nm9BXWSu46rnX8OdZGPWTdgEdfw9Ef8OguImVHjwoj+xoaFY6fffYZUlNTMW/ePNTV1VnNV199hUuXLqGurs7hLiQPVesf4SgwEXD01q6jq3BMfHodEu6+Hd2nFiG0Vzc791gMRefhGRhwxzwMeuxu+xfPCIKjVLuOguDorUPW8uPRNTj6GyCdRaTs6FFhZF9Do8Lxscces7qIpvGsXLkSJ06cgKZpOHHihN2vJxz1z+/h+J///Ac//vGPkZ2djfT0dMydOxfvvfeeW9+rAY56H65uwGPu4S2Iu2MGOmXGISKmFzplxiHujhnIPbzFLhaH/2YbzDsWo9fkXIRG2bvHYgQiC4chZu3NNjcCd3jltdF2Hdfa/yhCGXYdvX3IWgwe3YOjv+GxJUjKjh4VRvY1NCocmfr5NRyvXLmC6dOno6ysDKdOncLf//53LF++HIMHD8b58+dd/n773q9E9buzpdh1HPzzhQjr1dFykUrj/w3r2QWDH1517ZNjnt2K5Lvmo/uYIQjpaOcei5EdETU2D7GbliP9l/e6fKW10XYdc6sPCoOjiruOnuPRfTg2xqM/ArIxIkvM63T/2EPVh3C8HuHIXMmv4fjuu+9C0zSrz8e8dOkSUlNT8cQTT7j8/RrDUc9dxwkvrkbbXp1sLlyxAmGnCHTNH4RW4bb3WGzTuyv6TB+JATtvQuLT69y6NY9Rdx1zqw9a3Z6HePQtHP1997FsZDXKRlVjRsEOlI2y3Y0kJNWFY9N/jrMKCUcmZ34Nx//+9794+eWXceXKFctj3333HVJTU/HQQw+5/P0a4Chi19GTi2Qy1k52CEZHEz6wJ/rNKUbGgRVu35rHH3YdG8NR9kPWcuJRDBz9Go+N4NjcriQxKScc7f3zaZjG/xwXle0T+XbXbIQjcyW/hqO9HnroIcTGxrp1nuP+9ytx97uzcbfQXcf1Lk/UkJhmdxst5yyGh2HATeMsh62bvyH4Ho9G2K7j3gMej7t4zPkBjjmNrrIWtutYeS+KKu8XOt6GYwMerwFyj9NzHY5ixgLIUdV+MdN/gON0F77GEVT0xptR4dgcDovNVU79MyMcmawZGo5nz551ePWWpmk2z3/ppZeQmJiIbdu2ufV69/+9EjtOz7FM1duTsfwvt7o95ScWovzEQkx9dYNL0yG2u1O7jBExvZB/dEeLk/zMBmQ9WePR9H90GzJ/tt+jadh1HHrfQY8mpnoXYqp3Ibf6oEeTsPba7XlGVR0UMubKXSi55YDQyZq7ExPm7/fqNOCxdFqNbtOAxxkFOzhOTol5ncOZlclpbppbu4bx9J/P4un3e/oW6HSEI3MlQ8Pxu+++w5kzZxxO45588kkkJCTg9ttvtzp07UqNdxzvFnqRjBd2HAMC0CkzzsWPIfTvXcemO47e2HUUvfPoi0PWru48it5xbLrzaPTdR3d2HF2dlnbMjLBbaW/H0Znf25VdQ0+GO45M1gwNR2e77777oGkaNm3ahKtXr7r9fRqf46jnuY7OnuMY/+OZXvkYQlXOdXQHjw3nODa9MbisF8r46nxHazz65hxHvz33cVTz5zj6YlwBlq/B6ezP0fjKdEfnGeo5hCOTNb+H44EDB6BpGu677z6Pv5c34OjOFdYtXlUdEICwnl0c3s+x+V1HOfDoKRzdvVDGERyJR2fx6H04Gv62PRLA0ZPxBJ1O7QQaZA0JRyZrfg3Hd999F3FxcbjzzjttPvro66+/dvn7OYKjHrfmKf7VcoT37nwNioGO7+PoyccQ6gVHPW/PYw+O3th1NC4efQNHQ+8+KoAe6UeBNSQcmaz5NRyrq6sdXjhTU1Pj8vezB0c9bwg+4cXVyKiagqihMYjQotBpcH/E/3imSzuN3HV0Ho7EozN49C0cDQlIBdAj/SiwhoQjkzW/hqPomoOjvh9DuB5TX91g8/nV7uJRBjjqhUdHcFTlkHUDHr0NR8d41AeOhjp8rQB6pB8F1pBwZLJGOArMERz1/xjCRnD0EI+y7Tr6+pB1c3BU5ZC1vnjUD46G2X1UAD3SjwJrSDgyWSMcBdYSHPXbdbwGx8nH1ku166jiIWtn4Eg8NgdI/eGo/O6jAuiRfhRYQ1/Ccfatj7j9/9uzb33EZz8nkyPCUWDNwVHfjyFsAkfuOrq969gSHFXCo6/Od2yKRxngqDQgFUCP9KPAGhKOTNYIR4E5A0d9dh2vw3HysXXcdfRg19EZOIo+ZO3t8x312nnUG43KHr5WAD3SjwJrSDgyWSMcBdYSHPXbdbQDR+46uoVHV+Cowq6jvnjUH4xKAlIB9Eg/Cqwh4chkjXAUmC/g6N6uozUcuevo/iFrZ+FIPDqexp9vrTcUlTx8rQB6pB8F1pBwZLJGOArMGTjqs+voAI4G2nX01SFrV+DorUPWquNxwvz9Su0+SgdIBdAj/SiwhoQjkzXCUWC+gqPru462cDTqrqO3L5RxB46qnO/oKzw2hqPseJQSkAqgR/pRYA0JRyZrhKPAnIWj73cdm4Ejdx1d2nV0FY7EY8twVAGPjQGpNyhUQI/0o8AaEo5M1ghHgfkSjq7tOtqHI3cdXcejO3BU7ZC1t/FoD44EpLHQI/0osIaEI5M1wlFgrsLRd7uOLcBRIjzKtuvYFI+ewJF4bBmOquBRV0AqgB7pR4E1JByZrBGOAnMFjr7ddXQMR5l2HVW4PY+7cCQenYejinj0KSAVQI/0o8AaEo5M1ghHgbkDR9/sOjoBR0nwKPsha0/g6I1D1iri0Rk4NsYjAakeeqQfBdaQcGSyRjgKzFU4+m7XsXk4itx1NPoha0/hSDw6D0fVdh99BkgF0CP9KLCGhCOTNcJRYO7C0fu7jk7CkbuOLe46ioKjt/DoLTg2BqSv4agaHr0OSAXQI/0osIb+Asf7778f5eXlzT7n0qVL2LZtG4YNGwaz2YwFCxbgX//6l0evy9yPcBSYO3D0za5jy3DkrqNzu44i4GgEPHoCSHfgqCogGyPSn9Aj/Siwhv4Ax0OHDiE2NrZFOK5atQo5OTk4fvw43n//fcyePRujR4/GlStX3H5t5n6Eo8A8gaN3dx1dgCN3HZvHY3Xzn2Vt9EPWIvDoCRxVxaPQXUgF0CP9KLCGRoZjbW0tbrrpJpjNZpSUlDQLx48++giapuHVV1+1PHb27FmMGDEC//jHP9z6fZlnEY4CcxeO3t91dA6ORt51FILHvQeEw9Ef8egpHBvj0S8BqQB6pB8F1tDIcPz973+PiooKfPTRR1i5cmWzcPzFL36BrKwsXL161ZNfkQmMcBSYp3D03q6j83A04u15hB2y/gGOzX2WNfHoGziqvvvoESAVQI/0o8AaqgbHuro61NbWWqa+vt6p124Jjlu3bsXkyZNx5MgRTJgwAdnZ2aioqMAnn3wi5Hdnrkc4CswTOHp311EfOBrukPXeAxh638FmP8uaePQtHFXffXQLkAqgR/pRYA19CceFCx50+9/fhQseBADk5ORA0zTL1NTUOPXaLcFx9erVSEtLw+TJk3H8+HH8+c9/Rnl5OQoKCnDx4kUhvz9zLcJRYL/6xwSP4eidXUfX4Mhdx+bhOHiv48+ylul8R1nxKBqORth9dAmRCqBH+lFgDVWDo7d2HNetWwdN06yuoj5//jzi4+Nx5MgRz35x5laEo8A8haP3dh3dhKMkeBS16+gxHpvAkXh0D4/egqMRdh+dAqQC6JF+FFhD1eDobi3Bcd++fUhKSrJ5PDs7GwcPHvTotZl7EY4C+9U/JuDh94dJuOvoOhxlPGSt+4UyjeDY+BY9sh+y9iUenQGkN+FopN3HpoC0IFIB9Eg/Cqwh4XitN954A5qm4b333rM89vnnnyMuLg4vvPCCR6/N3ItwFNizH5Z7DEfv7Dp6AEdJdh2lOGTdBI4NeBS962h0PPoCjkbafbSHSNnRI/0QjlbJBMfLly+jrq7Ocv7i1atXUV5ejnHjxuHPf/4zTp8+jRtvvBFFRUX49ttvPXpt5l6Eo8Aa4CjfrqN7cJRx11FXPNqBI/HoOh59BUej7T5enz2+/WxsIw7haJVMcDx37hy0/9/e/T9HVd97HP9L7g+3Yz8JpLBLSNaliYWouYl4yZVpCLk1JVeSgCiGypU2VYJ8+UFJHWgSoAFFCmWGEYkiEBLG3DGIgsoIhilEkC+hiTWJgCNRySYbXvcHustu9kvOl88553N2X8+Zz3Tm9ETO7jDm4ftzzq4QaG1tDR+7ffs2Vq9ejdzcXHi9Xjz99NP4+uuvTf25zHiEo8QOXa3AW189puDU0SQcU3TqqBuPSeDolvsdVcCj3XBMveljIxaUNsUAkogkHI3mJByZ+yIcJRYJRxWmjvfxaByOnDpODkfiURseQ4B0Ao6pNX28D8fI4wQk4Wg0wpHpiXCUWAiO6k0dJcBRMTw6MnVMAke3bVnbjcdIQDoJx9QAZHw4EpGEo9EIR6YnwlFiE+Go0tTRDBxlTR1dv2WtAY7Eo/GHZrh9LQ+ORCThqCfCkemJcJRYJBxVmzpWfFJjCo7csp4cjsSjhrVCLTy6c/qoD46JEJnWkCQcoyIcmZ4IR4nFg6M6U0dJcEznB2U0wNGKLeuUwuOKv6D4dy3KAdJd00fjcCQiCcd4EY5MT4SjxCbCUa2pY02C77Hm1FEzHjXCkXjUBkfVtq7dM32UA8e0RiThGBXhyPREOEosERxVmDrWnnleHhwVmzratmWtE47E4+RwVBGP6gNSPhzTDpKEY1SEI9MT4SixeHBUZeoYgqMqU0dXblnrgKPVeLQKjpbjMQ4cI/GoEiDV3b62Ho7JEJkSkCQcoyIcmZ4IR4klg6PTeKw983zEx/OoM3V01Za1TjhatWXtajwmgKMbpo/qANJeOKYkJAnHqAhHpifCUWKJ4KjC1DESjqk6dbR8y9oAHN2MR0sAOQkcVcWjWtvXzsIxJSBJOEZFODI9EY4SmwyOTuIxBEdZU0fVHpSxZcvaBBzdeL+jJXjUAEdVt67VmT6qBUdXYpJwjIpwZHoiHCWWDI4yp45G8BgJR25ZG8SjQTgSj/rh6JbpozOAVB+OWjHpGCgJx6gIR6YnwlFik8HRyS3reHBM1S1rGXCMu2VtAo7EozE4qoxH5wDpTjjqwaTloCQco1pattUV18nUiHCUmJ1w1IvHiXBM1amjpXg0CUer73d0BR4NwNFNgCQcrQelFFQSjlERjkxPhKPEtMDRqaljIjim6tTRki1rCXBMezyagKPqeLQPkKkPRzOo1ARLwjEqwpHpiXCUmN1w1IPHeHDkgzI68SgRjmmLR5NwVPnBGfu2r9MbjrJw6fh9lgqBjHBkeiIcJaYVjk5MHZPBkVvWGresJcExVfBoCJAS4Oi26aN8QBKOMt9Dvci0ay1c0GTb7y7CkemJcJSYXjja+VWEieCo2tRR9S1rWXBMWzxKhKMbpo/WAJJwTIf30M6nlQlHpifCUWJ64Gj31DEZHPmgjP4taxlwTEs8SoajW6aPcgGpPnrUX+q/h4QjUzXCUWJG4GgXHrXAMRUflLEMj5LgmHZ4tAiObpk+ygGk+uhRf6n/HhKOTNUIR4nphaOdD8pMBkduWWtbubu3SYejlU9a243HSQFpIRzdNH00B0j10aP+Uv89JByZqhGOEjMKRzumjlrhyC1rbXAkHg3i0QY4umn6aAyQ6qNH/aX+e0g4MlUjHCVmBI52TR21wDGVp46y8Ji7e5tlW9ZW4zEESEfxaBMc3TZ91AdI9dGj/lL/PSQcmaoRjhIzA0erp4564KjS1FG1LesQHN14v6MSeLQZjm6bPmoDpProUX+p/x4SjkzVCEeJGYWjHVNHrXBU9UEZVfAYCccQHq2YOtqBR0cA6QAc3Th9TA5I9dGj/lL/PSQcmaoRjhIzA0erP55HDxy5Za0djsSjTjyu2OQYHN04fYwPSPXRo/5S/z1MZTiOj4+jsbER+fn58Hg8qK6uRl9fX8Lz+/r68MwzzyA3Nxd+vx8rV67E4OCgmZfMTEQ4SkwGHK3CoxGMIC+CAAAU8UlEQVQ4qrRlrcrUMREciUeNeFyxCd4Vmx2Do1unjxMBqTp61F+EY2R2w7G5uRmzZs1CV1cXenp6sHjxYhQVFWF0dDTm3GAwiLlz5+Lpp5/GpUuXcO7cOZSWlmLBggUyXjozEOEosc/+kWcKjlZuWeuFo6pTR6fxGA+OxKNePG6+B0gj33Wd5tPH5FvYXISjseyEYyAQwIwZM7Bv377wse+//x7Tp0/HkSNHYs6/ePEihBDo6ekJH+vs7IQQAt99953xF80MRzhKTBYcrZg6GoWjSlNHFbasE8GReNS+HqnfHn3fo4N4dOv0saRqGwFJOErLTjh2d3dDCIFr165FHS8vL8eaNWtizh8YGEBmZibWrl2LO3fu4Pbt23jmmWdQVFSE8fFxMy+bGYxwjKi9vR1CiKT3WiTrs3/k4aNrDyg5dTQCRxXx6PTUMRkcrbrfMdXwGIKjSnh0GyBLqrZxAkk4SstOOB47dgxCCNy5cyfqeG1tLZYsWRL3Z/bu3Quv14vMzExkZGRg9uzZhn9PM/MRjv9qcHAQPp/PFBy/6J8rDY6yp45G4cgta31wJB71wTESjyoA0i3b15FwjFxEJOFoJBlwHBoawsDAQHgNDw/H/bMOHjwIIUTMtHDVqlWorKyMOT8YDGLdunVYunQpzpw5g48++gglJSUoKyvD2NiY9PeCTR7h+K+qqqpQUVFhGo6nr+cqOXU0C0eVpo5WbFlrxaNWOBKP2uHI6aM8OBKQhKORlhU3oHxmvaG1rLgBAJCfnw8hRHg1NTXF/bM6OjoSThyXLVsWc/4777yDnJwc/PDDD+Fj/f39yMjIQEdHh8R3gWmNcMS9MXhJSQlOnjwpDY5m8Shz6lh/br4pOKb61FHP/Y5a4JgKeLQSkIngqCoeVQTkZHAkIAlHPcmAo9aJY+gex+vXr0cdLy8vx7p162LOX7t2bdwnqPPy8vD66/a9R+x+aQ/Hq1evIicnBz09PTh9+rQUON6fOs41tXZd/CUazi8yvWTB8R4eXza95OOx0fTSOnXUCscoPDa3SF9uxmMyOBa8FPrInnvrP1b8xfGlGh7n/QuO83T8TDQgG7mi4Kjmqql+Q/Jvu8TJgKPWAoEAsrOzsX///vCx0FPVR48ejTm/paUFPp8PIyMj4WM3btzAlClT8P777xt/0cxwKQ3H3t7eqNH5xDU2NobS0lK0tLQAgGk4nvv6cXze58PnfT58fO0BfHztAbx95XFTa9fFPPypp9LUipw6mlkVn9Sg4pMa/PrEWlNrTucLmNP5Ago6/mR6TTu4Fr7WJinrZ397BT/72yvI3b1N2grhcdaW7dLXzzduxs83bsZDG7dbuqau3oypqzfjkfrttq57H9uzGcW/a1FihQBZUrXN1Wvi50FyqbmWLNkp89dh0uyEIwBs2rQJPp8PnZ2d4c9xLC4uxtjYGILBIIaGhsJb2QMDA8jNzcXy5ctx8eJFnDt3Dk8++STmzZsX93MfmfWlNBxHR0dx+fLlhKu5uRllZWUIBoMAzMMxcuIoc+ooY/KY7Hus9W9Zp+bUUcvkUc/EkZNHYxPHeNNHp6eOE6ePTk4gjUwcOYXkxDFZdsMxGAyioaEBfr8fXq8XNTU14d+7fX19EEKgtbU1fP6lS5dQU1MDn8+HvLw8rFq1Cjdu3JD2+pm+UhqOk1VQUICsrCx4vV54vV5Mnz4dQgh4PB7U19fr/ufFg6MKD8qE4CgDj6o+KGPX/Y5G4Gjlk9ZuvOdRDxxVvPdRhfsftd7jaAyRzt/fx3sc3XePI0uf0hqO/f396O3tDa+2tjYIIfDpp58a+q+ZiXCU+YS1GTw2nF8U3rKWN3WU9KCMy56yNgrHVMGjDEAagaOKeHTy6WvZcEw/QBKOkRGOTE9pDceJyd6qVmXqGIKj/C1rdZ6ytguPZuBIPJqDYyQeVQKkE9NHq+CYPogkHCMjHJmeCMeIrICjrKmjGTxOhCO3rI3jUQYc0x2PZuDohumjHYC0A46pDUjCMTLCkemJcJRYIjg6vWUdCceJ3yijzNRRYTzKhCPxKAeOqk4f7dq+thOOqYlIwjEywpHpiXCU2GRwdGrLOh4cVZo6qrxlPRGPMuCY7niUBUeVp49WA9IpOKYOIgnHyAhHpifCUWLJ4Ojk1HEiHFXEo+pTxxAeZcEx1fCoB5Cy4egGPMoGpApwjAdI9yCScIyMcGR6IhwlpgWOTkwd48GRW9bG8CgTjnbgMQRIlfBoBRzTDZAqwdGdiCQcIyMcmZ4IR4lNBkenpo7J4KjS1NENW9Y/0/id1iriUZWtayvhqDIeZW5fqwpH9yCScIyMcGR6IhwlphWOduMxERxTfeooH4+NlsAxlfEYD5BWwzEdAOkGOKqNSMIxMsKR6YlwlJgWODrx8TyTwTGV8Sh3y7oRvtampN8sQzxOPn20C45uwaMRQLoNjuohknCMjHBkeiIcJaYVjnZvWSeDY7psWcvB4304Eo/G8WgnHFMVkG6GYzJE2gdJwjEywpHpiXCUmF442vWgzGRw5Ja1PjjmvN1IPJrAoxNwVB2PegGZKnB0bhpJOEZGODI9EY4S0wNHO6eOWuGYyniUM3W8D8eJH9NDPOoA5Grj33NNQKY2HO2bRhKOkS31v4Syf19uaC31v2TbdTI1IhwlZgSOduBRCxxlTx1Tc8s6Go7Eo0E8rjb+Pdey8egGQKYrHK2FJOEYGeHI9EQ4SkwvHO16UEYrHFXcslYLj7FwTAU82g3IhzZuN/w91+k2fUwEyHSEo1xIEo6REY5MT4SjxIzA0Y4ta71wVPJBGSXud4wPR+JRPxzj3fvoNB7dBEjC0SwkCcfICEemJ8JRYmbgaOWDMnrgmA5b1sbxmBiOITxaAcdUw2MkHFXBo9umj1Z9B3aqrcSYJBwjIxyZnghHiRmFo9VTRyNw5Ja1fjgSj8bgGIlHpwHpiunjCgJSJiTV+EBywpG5J8JRYmbhaBUe9cIxnbas9eFxcjgSj8bgyOmjPjgW/66FgDS5Qtv9iTDpNCgJR6ZqhKPEzMDRygdljMBR6S1rx/CoHY7EozE4qoRHZQEZAUduYZuHY6LlNCgJR6ZqhKPEZMDRiqmjGTim+pa1vvsdtcExlfBoBSAng6NqgFRu+zoOHAlI+XA0AkqZqCQcmaoRjhIb+meOKTha9aCMUTimy5a1djxqhyPxaB6OKuFRqeljEjgSkNbD0SwsteKScGSqRjhKTAYcrdiyNgNHblkbhyPxaB6OkXhUAZBKTB81wJGAdA6OsnA5v/ovtv3uIhyZnghHid38phAD/f+m1NRx18VfSoGjslvWtuJRPxztwGMIkG7Bo144cvpoHI4EpJpw1LIWPf9X2353EY5MT4SjxEJwlIVHWVNHs3BUdepo1f2OifFoDI524tENgDQKR9Xw6BggDcCRgCQck0U4Mj0RjhK7+U0hvv3aq+TU0SwcVcWjVfc7xsejcTgSj3LgqCIgbd++NgFHApJwjBfhyPREOEosEo7q4TFPChzTYcs68cMy5uBIPMqDo2p4tHX6KAGOBCThGJndcBwfH0djYyPy8/Ph8XhQXV2Nvr6+hOffunULK1euRE5ODnJzc7F27VrcuXPHzEtmJiIcJRaCo6ypo7wt67lS4Chz6uhOPJqHI/EoD46ReEwrQEqEYzoDknC8n91wbG5uxqxZs9DV1YWenh4sXrwYRUVFGB0djXt+RUUFFixYgL///e84efIkCgoKUFdXZ/ZlM4MRjhKLhKNaW9b34Jjou6xTYcvanvsd5cAxFfGoB5Ay4aj69NESQFoAx3QEJOF4PzvhGAgEMGPGDOzbty987Pvvv8f06dNx5MiRmPPPnDkDIQSuXLkSPnbixAlkZmZiYGDA+ItmhiMcJRYPjmo8KDMXb195XCoc02nL+j4e5cExnfFoBRzTavpoIRzTCZGE4/3shGN3dzeEELh27VrU8fLycqxZsybm/B07diA/Pz/qWCAQQGZmJtra2nS/VmY+wlFitwbLcfObwqg19M8cfNE/1/T67B95OHS1wuD6LQ73LsKhq7/FW1dKsPXiCtOr4UIVXup+Wcp67vMXUHXqT1LWr0+sv7f+b6u09XDHa3i44zU8dvgNPN62E48dfgOPHX5dyvIfaIb/QDOK3/qrZcu/uwX+3S34z517bFn5W3Ygf8sO/Ffznrhr/ta/Jfz/ZKw5r+7AnFd3YMGre5RZhfXbUVi/Hf9dv8f8WrMHT75873+l/PMmWY8/vz28Fj3/15RZ//O/ux2/hmRrxdr9tv3uqivZiKX+lwytupKNAIChoSEMDAyE1/DwcNw/69ixYxBCxNyjWFtbiyVLlsScv2HDBpSWlsYc9/v9eOONNyS8eqY3wpExxhhjhvvpp5+QnZ0NIUR4NTU1xT334MGDEEJgfHw86viqVatQWVkZc/6LL76I3/zmNzHHZ8+eja1bt0q5fqYvwpExxhhjhhseHo6aNiabOHZ0dCScOC5btizm/PXr1yecOO7atUvK9TN9EY6MMcYYs6XQPY7Xr1+POl5eXo5169bFnL9jxw786le/ijoWusexvb3d0mtl8SMcGWOMMWZLgUAA2dnZ2L///j2coaeqjx49GnP+2bNnIYRAb29v+NiJEycwZcoUDA0N2XLNLDrCkTHGGGO2tWnTJvh8PnR2doY/x7G4uBhjY2MIBoMYGhoKb2XfvXsX5eXlmD9/Prq7u3Hq1CkUFBTgxRdfdPhVpG+EI2OMMcZsKxgMoqGhAX6/H16vFzU1NeFvjunr64MQAq2treHzb9y4geeeew5erxcPPvggXn75ZYyMjDh1+Wkf4cgYY4wxxjRFODLGGGOMMU0RjowxxhhjTFOEI2OMMcYY0xThyBhjjDHGNEU4pnHt7e0QQoSfZmPa+vbbb/H73/8eeXl5mDlzJp566il8+eWXTl+W0o2Pj6OxsRH5+fnweDyorq7m3zudDQ8PY8OGDZg9eza8Xi8WLlyIzz77zOnLcm1nz57FlClT8Mknnzh9KYy5KsIxTRscHITP5yMcdTY+Po6FCxeirKwM3d3d+Oqrr1BbW4sHH3wQN2/edPrylK25uRmzZs1CV1dX+HPbioqKMDo66vSluaYVK1agqKgIp06dwtWrV7FhwwZMmzYNly9fdvrSXNePP/6IwsJCCCEIR8Z0RjimaVVVVaioqCAcdXb+/HkIIaJ+WQcCAXg8Hrz99tsOXpm6BQIBzJgxA/v27QsfC31TxJEjRxy8Mvf03XffISMjA11dXeFjd+/exaOPPoo///nPDl6ZO6uvrw//+49wZExfhGMatnfvXpSUlODkyZOEo85u3bqFDz74AOPj4+Fjo6Oj8Hg82Llzp4NXpm6h76a9du1a1PHy8nKsWbPGmYtyWT/++COOHz+O4eHhqOOFhYVYv369Q1flzrq6uvDQQw/hyy+/JBwZMxDhmGZdvXoVOTk56OnpwenTpwlHCe3cuRMZGRm8zzFBx44dgxAi/BVioWpra7FkyRKHrsr9dXR0QAiBDz74wOlLcU03b95EXl4ejh8/jm+++YZwZMxAhGMK1dvbCyFEwjU2NobS0lK0tLQAAOEYp8new4l1dnYiKysLr7zyigNX644OHjwIIUTUlBYAVq1ahcrKSmcuyuV98cUXyM7OxvLly52+FFe1fPly1NfXAwDhyJjBCMcUanR0FJcvX064mpubUVZWhmAwCIBwjNdk72Fkra2tmDp1Kl544YUYFLH7hSZj8SaOy5Ytc+iq3Nvx48fh9XpRWVkZ856yxL3zzjt4+OGH8cMPPwAgHBkzGuGYRhUUFCArKwterxderxfTp0+HEAIejyf8X+FMW1u2bIEQAuvXr8fdu3edvhylC93jeP369ajj5eXlWLdunUNX5c4OHDiAqVOn4tlnn0UgEHD6clxVRUVF1L//PB4PhBCYNm0aqqqqnL48xlwT4ZhG9ff3o7e3N7za2toghMCnn36KGzduOH15rqmlpQVCCGzZssXpS3FFgUAA2dnZ2L9/f/hY6Knqo0ePOnhl7uq9995DRkYGVq9eHd41YNobGBiI+vdfaMflvffew8DAgNOXx5hrIhzTOG5V6+/8+fPIzMzEH//4RwwNDUWt0BYYi23Tpk3w+Xzo7OwMf45jcXExxsbGnL40VzQ4OAiPx4PFixfH/L27ffu205fnyrhVzZixCMc0jnDU38aNGxM+ONPU1OT05SlbMBhEQ0MD/H4/vF4vampq+PdOR3v37k349+4Pf/iD05fnyghHxoxFODLGGGOMMU0RjowxxhhjTFOEI2OMMcYY0xThyBhjjDHGNEU4MsYYY4wxTRGOjDHGGGNMU4QjY4wxxhjTFOHIGGOMMcY0RTgyxhhjjDFNEY6MMcYYY0xThCNjjDHGGNMU4cgYY4wxxjRFODLGpLR3714IIdDT0xM+9tNPP8Hn80EIgQsXLoSPDw8PY8aMGairq3PiUhljjBmMcGSMSenQoUMQQuDzzz8PH9uzZw+ysrIghMCpU6fCx3ft2oWMjAxcunTJiUtljDFmMMKRMSalrq4uCCHw4YcfAgCCwSAKCgpQX18PIQQ6OjoAAOPj43jkkUdQXV3t5OUyxhgzEOHIGJPS2bNnIYRAe3s7AODw4cOYOnUq+vv7kZWVhf379wMA3n//fQghcPLkSScvlzHGmIEIR8aYlK5cuQIhBA4cOAAAeOKJJ7By5UoAgN/vx+uvvw4AqKiowPz588M/d+TIESxcuBBerxcFBQX2XzhjjDHNEY6MMSndvHkTQgjs3r0bH3/8MYQQOH/+PACgsLAQr732Gi5cuAAhBA4dOhT+uRMnTqCtrQ1vvvkm4cgYY4pHODLGpDQ2NgYhBLZt24annnoKlZWV4f9v/vz5qK+vR11dHebMmYOxsbGYn29vbyccGWNM8QhHxpi0vF4vFi9eHPWQDAAsWrQIFRUV+MUvfoE333wz7s8Sjowxpn6EI2NMWrNnz4YQAvPmzYs6/uyzz0IIgZkzZ2J4eDjuzxKOjDGmfoQjY0xa8+bNgxAC7777btTxuro6CCGwcePGhD9LODLGmPoRjowxJSIcGWNM/QhHxpijBYNBjIyM4PDhw5gzZw5GRkYwMjLi9GUxxhiLE+HIGHO01tZWCCFiFmOMMfUiHBljjDHGmKb+Hxbn3gwJBVtjAAAAAElFTkSuQmCC\" width=\"599.5\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(6, 4))\n",
    "plt.contourf(ws_x, ws_y, loss_ws, 20, alpha=.9, cmap=cm.viridis)\n",
    "cbar = plt.colorbar()\n",
    "cbar.ax.set_ylabel('loss')\n",
    "\n",
    "for i in range(1, 4):\n",
    "    w1 = w_iter[i-1]\n",
    "    w2 = w_iter[i]\n",
    "    plt.plot(w1[0,0], w1[0,1], 'ko')  \n",
    "    plt.plot([w1[0,0], w2[0,0]], [w1[0,1], w2[0,1]], 'k-')\n",
    "    plt.text(w1[0,0]-0.2, w1[0,1]+0.4, f'$w({i-1})$', color='k')\n",
    "w1 = w_iter[3]    \n",
    "plt.plot(w1[0, 0], w1[0, 1], 'ko')\n",
    "plt.text(w1[0, 0]-.2, w1[0, 1]+.4, f'$w({i})$', color='k')\n",
    "plt.xlabel('$w_1$', fontsize=12)\n",
    "plt.ylabel('$w_2$', fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "41223db9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"599.5\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(6, 4))\n",
    "nb_of_xs = 200\n",
    "xsa = np.linspace(-4, 4, num=nb_of_xs)\n",
    "xsb = np.linspace(-4, 4, num=nb_of_xs)\n",
    "xx, yy = np.meshgrid(xsa, xsb)\n",
    "classification_plane = np.zeros((nb_of_xs, nb_of_xs))\n",
    "for i in range(nb_of_xs):\n",
    "    for j in range(nb_of_xs):\n",
    "        classification_plane[i, j] = nn_predict(\n",
    "                   np.asmatrix([xx[i, j], yy[i, j]]), w)\n",
    "cmap = ListedColormap([\n",
    "    colorConverter.to_rgba('r', alpha=.3),\n",
    "    colorConverter.to_rgba('b', alpha=.3)])\n",
    "plt.contourf(xx, yy, classification_plane, cmap=cmap)\n",
    "plt.plot(x_red[:,0], x_red[:,1], 'r*', label='target красная звезда')\n",
    "plt.plot(x_blue[:,0], x_blue[:,1], 'bo', label='target синий круг')\n",
    "plt.legend(loc=2)\n",
    "plt.xlabel('$x_1$', fontsize=12)\n",
    "plt.ylabel('$x_2$', fontsize=12)\n",
    "plt.axis([-3, 4, -4, 4])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "1e220f98",
   "metadata": {},
   "outputs": [],
   "source": [
    "# import tensorflow as tf\n",
    "import tensorflow_datasets as datasets\n",
    "import tensorflow.compat.v1 as tf\n",
    "tf.disable_v2_behavior()\n",
    "mnist = datasets.load(name='mnist')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "88a2cd92",
   "metadata": {},
   "outputs": [],
   "source": [
    "h1_nodes = 500\n",
    "h2_nodes = 600\n",
    "h3_nodes = 300"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "e48ab01b",
   "metadata": {},
   "outputs": [],
   "source": [
    "n_classes = 10\n",
    "batch_size = 100\n",
    "\n",
    "x = tf.placeholder('float64', [None, 784])\n",
    "y = tf.placeholder('float64')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "06ff9681",
   "metadata": {},
   "outputs": [],
   "source": [
    "def print_shape(obj):\n",
    "    print(obj.get_shape().as_list())\n",
    "    \n",
    "def ann_model(data):\n",
    "    data = tf.cast(data, tf.float32)\n",
    "    \n",
    "    hidden1 = {'weights': tf.Variable(tf.random_normal([784, h1_nodes])),\n",
    "              'biases': tf.Variable(tf.random_normal([h1_nodes]))}\n",
    "    \n",
    "    hidden2 = {'weights': tf.Variable(tf.random_normal([784, h2_nodes])),\n",
    "              'biases': tf.Variable(tf.random_normal([h1_nodes]))}\n",
    "    \n",
    "    hidden3 = {'weights': tf.Variable(tf.random_normal([784, h3_nodes])),\n",
    "              'biases': tf.Variable(tf.random_normal([h1_nodes]))}\n",
    "    \n",
    "    output = {'weights': tf.Variable(tf.random_normal([h3_nodes, n_classes])),\n",
    "              'biases': tf.Variable(tf.random_normal([n_classes]))}\n",
    "    \n",
    "    l1 = tf.add(tf.matmul(data, hidden1['weights']), hidden1['biases'])\n",
    "    l1 = tf.nn.relu(l1)\n",
    "    \n",
    "    l2 = tf.add(tf.matmul(l1, hidden2['weights']), hidden2['biases'])\n",
    "    l2 = tf.nn.relu(l2)\n",
    "    \n",
    "    l3 = tf.add(tf.matmul(l2, hidden3['weights']), hidden3['biases'])\n",
    "    l3 = tf.nn.relu(l3)\n",
    "    \n",
    "    output_layer = tf.add(tf.matmul(l3, output['weights']), output['biases'])\n",
    "    \n",
    "    return output_layer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "eea0287e",
   "metadata": {},
   "outputs": [],
   "source": [
    "def train_model(x, y):\n",
    "    peredction = ann_model(x)\n",
    "    \n",
    "    cost = tf.reduce_mean(tf.nn.softmax_cross_entropy_with_logits_v2(logits=prediction, labels=y))\n",
    "    \n",
    "    optimizer = tf.train.AdamOptimizer().minimize(cost)\n",
    "    epochs=10\n",
    "    \n",
    "    with tf.Session() as sess:\n",
    "        sess.run(tf.global_variables_initializer())\n",
    "        for epoch in range(epochs):\n",
    "            e_loss = 0\n",
    "            \n",
    "            for _ in range(int(mnist.train.num_examples/batch_size)):\n",
    "                epoch_x, epoch_y = mnist.train.next_batch(batch_size)\n",
    "                _, c = sess.run([optimizer, cost], feed_dict={x: epoch_x, y: epoch_y})\n",
    "                e_loss += c\n",
    "            print('Epoch', epoch, 'completed out of', epochs, 'with loss:', e_loss)\n",
    "        \n",
    "        correct = tf.equal(tf.argmax(prediction, 1), tf.argmax(y, 1))\n",
    "        accuracy = tf.reduce_mean(tf.cast(correct, 'float'))\n",
    "        print('Accuracy', accuracy.eval({x: mnist.test.images, y: mnist.test.labels}))\n",
    "        \n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "443178c7",
   "metadata": {},
   "outputs": [
    {
     "ename": "ValueError",
     "evalue": "Dimensions must be equal, but are 500 and 784 for '{{node MatMul_3}} = MatMul[T=DT_FLOAT, transpose_a=false, transpose_b=false](Relu_1, Variable_10/read)' with input shapes: [?,500], [784,600].",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mInvalidArgumentError\u001b[0m                      Traceback (most recent call last)",
      "\u001b[1;32m~\\anaconda3\\lib\\site-packages\\tensorflow\\python\\framework\\ops.py\u001b[0m in \u001b[0;36m_create_c_op\u001b[1;34m(graph, node_def, inputs, control_inputs, op_def)\u001b[0m\n\u001b[0;32m   1879\u001b[0m   \u001b[1;32mtry\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m-> 1880\u001b[1;33m     \u001b[0mc_op\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mpywrap_tf_session\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mTF_FinishOperation\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mop_desc\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m   1881\u001b[0m   \u001b[1;32mexcept\u001b[0m \u001b[0merrors\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mInvalidArgumentError\u001b[0m \u001b[1;32mas\u001b[0m \u001b[0me\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mInvalidArgumentError\u001b[0m: Dimensions must be equal, but are 500 and 784 for '{{node MatMul_3}} = MatMul[T=DT_FLOAT, transpose_a=false, transpose_b=false](Relu_1, Variable_10/read)' with input shapes: [?,500], [784,600].",
      "\nDuring handling of the above exception, another exception occurred:\n",
      "\u001b[1;31mValueError\u001b[0m                                Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-30-a3b2485c2641>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mtrain_model\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mx\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0my\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[1;32m<ipython-input-29-3d74c78b7656>\u001b[0m in \u001b[0;36mtrain_model\u001b[1;34m(x, y)\u001b[0m\n\u001b[0;32m      1\u001b[0m \u001b[1;32mdef\u001b[0m \u001b[0mtrain_model\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mx\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0my\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 2\u001b[1;33m     \u001b[0mperedction\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mann_model\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mx\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m      3\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      4\u001b[0m     \u001b[0mcost\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mtf\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mreduce_mean\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mtf\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mnn\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msoftmax_cross_entropy_with_logits_v2\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mlogits\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mprediction\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mlabels\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0my\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      5\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32m<ipython-input-28-44a48be8858b>\u001b[0m in \u001b[0;36mann_model\u001b[1;34m(data)\u001b[0m\n\u001b[0;32m     20\u001b[0m     \u001b[0ml1\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mtf\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mnn\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mrelu\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0ml1\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     21\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 22\u001b[1;33m     \u001b[0ml2\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mtf\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0madd\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mtf\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mmatmul\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0ml1\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mhidden2\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;34m'weights'\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mhidden2\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;34m'biases'\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m     23\u001b[0m     \u001b[0ml2\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mtf\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mnn\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mrelu\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0ml2\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     24\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32m~\\anaconda3\\lib\\site-packages\\tensorflow\\python\\util\\dispatch.py\u001b[0m in \u001b[0;36mwrapper\u001b[1;34m(*args, **kwargs)\u001b[0m\n\u001b[0;32m    204\u001b[0m     \u001b[1;34m\"\"\"Call target, and fall back on dispatchers if there is a TypeError.\"\"\"\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    205\u001b[0m     \u001b[1;32mtry\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 206\u001b[1;33m       \u001b[1;32mreturn\u001b[0m \u001b[0mtarget\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m*\u001b[0m\u001b[0margs\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    207\u001b[0m     \u001b[1;32mexcept\u001b[0m \u001b[1;33m(\u001b[0m\u001b[0mTypeError\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mValueError\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    208\u001b[0m       \u001b[1;31m# Note: convert_to_eager_tensor currently raises a ValueError, not a\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32m~\\anaconda3\\lib\\site-packages\\tensorflow\\python\\ops\\math_ops.py\u001b[0m in \u001b[0;36mmatmul\u001b[1;34m(a, b, transpose_a, transpose_b, adjoint_a, adjoint_b, a_is_sparse, b_is_sparse, output_type, name)\u001b[0m\n\u001b[0;32m   3652\u001b[0m             a, b, adj_x=adjoint_a, adj_y=adjoint_b, Tout=output_type, name=name)\n\u001b[0;32m   3653\u001b[0m       \u001b[1;32melse\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m-> 3654\u001b[1;33m         return gen_math_ops.mat_mul(\n\u001b[0m\u001b[0;32m   3655\u001b[0m             a, b, transpose_a=transpose_a, transpose_b=transpose_b, name=name)\n\u001b[0;32m   3656\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32m~\\anaconda3\\lib\\site-packages\\tensorflow\\python\\ops\\gen_math_ops.py\u001b[0m in \u001b[0;36mmat_mul\u001b[1;34m(a, b, transpose_a, transpose_b, name)\u001b[0m\n\u001b[0;32m   5709\u001b[0m     \u001b[0mtranspose_b\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;32mFalse\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   5710\u001b[0m   \u001b[0mtranspose_b\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0m_execute\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mmake_bool\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mtranspose_b\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;34m\"transpose_b\"\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m-> 5711\u001b[1;33m   _, _, _op, _outputs = _op_def_library._apply_op_helper(\n\u001b[0m\u001b[0;32m   5712\u001b[0m         \u001b[1;34m\"MatMul\"\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0ma\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0ma\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mb\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mb\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mtranspose_a\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mtranspose_a\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mtranspose_b\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mtranspose_b\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   5713\u001b[0m                   name=name)\n",
      "\u001b[1;32m~\\anaconda3\\lib\\site-packages\\tensorflow\\python\\framework\\op_def_library.py\u001b[0m in \u001b[0;36m_apply_op_helper\u001b[1;34m(op_type_name, name, **keywords)\u001b[0m\n\u001b[0;32m    746\u001b[0m       \u001b[1;31m# Add Op to graph\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    747\u001b[0m       \u001b[1;31m# pylint: disable=protected-access\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 748\u001b[1;33m       op = g._create_op_internal(op_type_name, inputs, dtypes=None,\n\u001b[0m\u001b[0;32m    749\u001b[0m                                  \u001b[0mname\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mscope\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0minput_types\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0minput_types\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    750\u001b[0m                                  attrs=attr_protos, op_def=op_def)\n",
      "\u001b[1;32m~\\anaconda3\\lib\\site-packages\\tensorflow\\python\\framework\\ops.py\u001b[0m in \u001b[0;36m_create_op_internal\u001b[1;34m(self, op_type, inputs, dtypes, input_types, name, attrs, op_def, compute_device)\u001b[0m\n\u001b[0;32m   3559\u001b[0m     \u001b[1;31m# Session.run call cannot occur between creating and mutating the op.\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   3560\u001b[0m     \u001b[1;32mwith\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_mutation_lock\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m-> 3561\u001b[1;33m       ret = Operation(\n\u001b[0m\u001b[0;32m   3562\u001b[0m           \u001b[0mnode_def\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   3563\u001b[0m           \u001b[0mself\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32m~\\anaconda3\\lib\\site-packages\\tensorflow\\python\\framework\\ops.py\u001b[0m in \u001b[0;36m__init__\u001b[1;34m(self, node_def, g, inputs, output_types, control_inputs, input_types, original_op, op_def)\u001b[0m\n\u001b[0;32m   2039\u001b[0m       \u001b[1;32mif\u001b[0m \u001b[0mop_def\u001b[0m \u001b[1;32mis\u001b[0m \u001b[1;32mNone\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   2040\u001b[0m         \u001b[0mop_def\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_graph\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_get_op_def\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mnode_def\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mop\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m-> 2041\u001b[1;33m       self._c_op = _create_c_op(self._graph, node_def, inputs,\n\u001b[0m\u001b[0;32m   2042\u001b[0m                                 control_input_ops, op_def)\n\u001b[0;32m   2043\u001b[0m       \u001b[0mname\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mcompat\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mas_str\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mnode_def\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mname\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32m~\\anaconda3\\lib\\site-packages\\tensorflow\\python\\framework\\ops.py\u001b[0m in \u001b[0;36m_create_c_op\u001b[1;34m(graph, node_def, inputs, control_inputs, op_def)\u001b[0m\n\u001b[0;32m   1881\u001b[0m   \u001b[1;32mexcept\u001b[0m \u001b[0merrors\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mInvalidArgumentError\u001b[0m \u001b[1;32mas\u001b[0m \u001b[0me\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   1882\u001b[0m     \u001b[1;31m# Convert to ValueError for backwards compatibility.\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m-> 1883\u001b[1;33m     \u001b[1;32mraise\u001b[0m \u001b[0mValueError\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mstr\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0me\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m   1884\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m   1885\u001b[0m   \u001b[1;32mreturn\u001b[0m \u001b[0mc_op\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mValueError\u001b[0m: Dimensions must be equal, but are 500 and 784 for '{{node MatMul_3}} = MatMul[T=DT_FLOAT, transpose_a=false, transpose_b=false](Relu_1, Variable_10/read)' with input shapes: [?,500], [784,600]."
     ]
    }
   ],
   "source": [
    "train_model(x, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6f79c0d6",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
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